TSTP Solution File: ITP272_4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP272_4 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:12:42 EDT 2024
% Result : Theorem 57.64s 9.35s
% Output : Refutation 58.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP272_4 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:12:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (27633)Running in auto input_syntax mode. Trying TPTP
% 0.98/1.21 % (27635)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.98/1.21 % (27637)WARNING: value z3 for option sas not known
% 0.98/1.21 % (27639)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.98/1.21 % (27636)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.98/1.21 % (27640)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.98/1.21 % (27638)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.98/1.21 % (27637)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.98/1.22 % (27641)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)
% 8.96/2.39 % (27641)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.01/2.78 % Exception at run slice level
% 12.01/2.78 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 12.01/2.80 % (27642)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 20.20/3.98 % (27642)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.20/3.98 % Exception at run slice level
% 20.20/3.98 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 20.50/4.01 % (27643)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)
% 28.61/5.19 % (27643)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 53.90/8.83 % (27639)First to succeed.
% 57.64/9.33 % (27639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27633"
% 57.64/9.35 % (27639)Refutation found. Thanks to Tanya!
% 57.64/9.35 % SZS status Theorem for theBenchmark
% 57.64/9.35 % SZS output start Proof for theBenchmark
% 57.64/9.35 tff(type_def_5, type, vEBT_VEBT: $tType).
% 57.64/9.35 tff(type_def_6, type, code_integer: $tType).
% 57.64/9.35 tff(type_def_7, type, product_unit: $tType).
% 57.64/9.35 tff(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 57.64/9.35 tff(type_def_9, type, extended_enat: $tType).
% 57.64/9.35 tff(type_def_10, type, complex: $tType).
% 57.64/9.35 tff(type_def_11, type, sum_sum: ($tType * $tType) > $tType).
% 57.64/9.35 tff(type_def_12, type, option: $tType > $tType).
% 57.64/9.35 tff(type_def_13, type, filter: $tType > $tType).
% 57.64/9.35 tff(type_def_14, type, char: $tType).
% 57.64/9.35 tff(type_def_15, type, real: $tType).
% 57.64/9.35 tff(type_def_16, type, list: $tType > $tType).
% 57.64/9.35 tff(type_def_17, type, set: $tType > $tType).
% 57.64/9.35 tff(type_def_18, type, rat: $tType).
% 57.64/9.35 tff(type_def_19, type, num: $tType).
% 57.64/9.35 tff(type_def_20, type, nat: $tType).
% 57.64/9.35 tff(type_def_21, type, int: $tType).
% 57.64/9.35 tff(type_def_22, type, fun: ($tType * $tType) > $tType).
% 57.64/9.35 tff(type_def_23, type, a: $tType).
% 57.64/9.35 tff(func_def_0, type, aTP_Lamp_a: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_1, type, aTP_Lamp_aa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_2, type, aTP_Lamp_aaa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_3, type, aTP_Lamp_aab: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_4, type, aTP_Lamp_aac: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_5, type, aTP_Lamp_aad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_6, type, aTP_Lamp_aae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_7, type, aTP_Lamp_aaf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_8, type, aTP_Lamp_aag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_9, type, aTP_Lamp_aah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_10, type, aTP_Lamp_aai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_11, type, aTP_Lamp_aaj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_12, type, aTP_Lamp_aak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_13, type, aTP_Lamp_aal: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_14, type, aTP_Lamp_aam: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_15, type, aTP_Lamp_aan: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_16, type, aTP_Lamp_aao: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_17, type, aTP_Lamp_aap: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_18, type, aTP_Lamp_aaq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_19, type, aTP_Lamp_aar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_20, type, aTP_Lamp_aas: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_21, type, aTP_Lamp_aat: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_22, type, aTP_Lamp_aau: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_23, type, aTP_Lamp_aav: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_24, type, aTP_Lamp_aaw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_25, type, aTP_Lamp_aax: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_26, type, aTP_Lamp_aay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_27, type, aTP_Lamp_aaz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_28, type, aTP_Lamp_ab: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_29, type, aTP_Lamp_aba: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_30, type, aTP_Lamp_abb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_31, type, aTP_Lamp_abc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_32, type, aTP_Lamp_abd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_33, type, aTP_Lamp_abe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_34, type, aTP_Lamp_abf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_35, type, aTP_Lamp_abg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_36, type, aTP_Lamp_abh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_37, type, aTP_Lamp_abi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_38, type, aTP_Lamp_abj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_39, type, aTP_Lamp_abk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_40, type, aTP_Lamp_abl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_41, type, aTP_Lamp_abm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_42, type, aTP_Lamp_abn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_43, type, aTP_Lamp_abo: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_44, type, aTP_Lamp_abp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_45, type, aTP_Lamp_abq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_46, type, aTP_Lamp_abr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_47, type, aTP_Lamp_abs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_48, type, aTP_Lamp_abt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_49, type, aTP_Lamp_abu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_50, type, aTP_Lamp_abv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_51, type, aTP_Lamp_abw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_52, type, aTP_Lamp_abx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_53, type, aTP_Lamp_aby: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_54, type, aTP_Lamp_abz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_55, type, aTP_Lamp_ac: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_56, type, aTP_Lamp_aca: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_57, type, aTP_Lamp_acb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_58, type, aTP_Lamp_acc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_59, type, aTP_Lamp_acd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_60, type, aTP_Lamp_ace: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_61, type, aTP_Lamp_acf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_62, type, aTP_Lamp_acg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_63, type, aTP_Lamp_ach: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_64, type, aTP_Lamp_aci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_65, type, aTP_Lamp_acj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_66, type, aTP_Lamp_ack: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_67, type, aTP_Lamp_acl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_68, type, aTP_Lamp_acm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_69, type, aTP_Lamp_acn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_70, type, aTP_Lamp_aco: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_71, type, aTP_Lamp_acp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_72, type, aTP_Lamp_acq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_73, type, aTP_Lamp_acr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_74, type, aTP_Lamp_acs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_75, type, aTP_Lamp_act: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_76, type, aTP_Lamp_acu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_77, type, aTP_Lamp_acv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_78, type, aTP_Lamp_acw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_79, type, aTP_Lamp_acx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_80, type, aTP_Lamp_acy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_81, type, aTP_Lamp_acz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_82, type, aTP_Lamp_ad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_83, type, aTP_Lamp_ada: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_84, type, aTP_Lamp_adb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_85, type, aTP_Lamp_adc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_86, type, aTP_Lamp_add: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_87, type, aTP_Lamp_ade: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_88, type, aTP_Lamp_adf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_89, type, aTP_Lamp_adg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_90, type, aTP_Lamp_adh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_91, type, aTP_Lamp_adi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_92, type, aTP_Lamp_adj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_93, type, aTP_Lamp_adk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_94, type, aTP_Lamp_adl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_95, type, aTP_Lamp_adm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_96, type, aTP_Lamp_adn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_97, type, aTP_Lamp_ado: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_98, type, aTP_Lamp_adp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_99, type, aTP_Lamp_adq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_100, type, aTP_Lamp_adr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_101, type, aTP_Lamp_ads: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_102, type, aTP_Lamp_adt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_103, type, aTP_Lamp_adu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_104, type, aTP_Lamp_adv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_105, type, aTP_Lamp_adw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_106, type, aTP_Lamp_adx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_107, type, aTP_Lamp_ady: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_108, type, aTP_Lamp_adz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_109, type, aTP_Lamp_ae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_110, type, aTP_Lamp_aea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_111, type, aTP_Lamp_aeb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_112, type, aTP_Lamp_aec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_113, type, aTP_Lamp_aed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_114, type, aTP_Lamp_aee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_115, type, aTP_Lamp_aef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_116, type, aTP_Lamp_aeg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_117, type, aTP_Lamp_aeh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_118, type, aTP_Lamp_aei: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_119, type, aTP_Lamp_aej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_120, type, aTP_Lamp_aek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_121, type, aTP_Lamp_ael: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_122, type, aTP_Lamp_aem: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_123, type, aTP_Lamp_aen: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_124, type, aTP_Lamp_aeo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_125, type, aTP_Lamp_aep: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_126, type, aTP_Lamp_aeq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_127, type, aTP_Lamp_aer: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_128, type, aTP_Lamp_aes: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_129, type, aTP_Lamp_aet: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_130, type, aTP_Lamp_aeu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_131, type, aTP_Lamp_aev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_132, type, aTP_Lamp_aew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_133, type, aTP_Lamp_aex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_134, type, aTP_Lamp_aey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_135, type, aTP_Lamp_aez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_136, type, aTP_Lamp_af: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_137, type, aTP_Lamp_afa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_138, type, aTP_Lamp_afb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_139, type, aTP_Lamp_afc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_140, type, aTP_Lamp_afd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_141, type, aTP_Lamp_afe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_142, type, aTP_Lamp_aff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_143, type, aTP_Lamp_afg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_144, type, aTP_Lamp_afh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_145, type, aTP_Lamp_afi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_146, type, aTP_Lamp_afj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_147, type, aTP_Lamp_afk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_148, type, aTP_Lamp_afl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_149, type, aTP_Lamp_afm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_150, type, aTP_Lamp_afn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_151, type, aTP_Lamp_afo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_152, type, aTP_Lamp_afp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_153, type, aTP_Lamp_afq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_154, type, aTP_Lamp_afr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_155, type, aTP_Lamp_afs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_156, type, aTP_Lamp_aft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_157, type, aTP_Lamp_afu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_158, type, aTP_Lamp_afv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_159, type, aTP_Lamp_afw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_160, type, aTP_Lamp_afx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_161, type, aTP_Lamp_afy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_162, type, aTP_Lamp_afz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_163, type, aTP_Lamp_ag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_164, type, aTP_Lamp_aga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_165, type, aTP_Lamp_agb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_166, type, aTP_Lamp_agc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_167, type, aTP_Lamp_agd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_168, type, aTP_Lamp_age: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_169, type, aTP_Lamp_agf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_170, type, aTP_Lamp_agg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_171, type, aTP_Lamp_agh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_172, type, aTP_Lamp_agi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_173, type, aTP_Lamp_agj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_174, type, aTP_Lamp_agk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_175, type, aTP_Lamp_agl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_176, type, aTP_Lamp_agm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_177, type, aTP_Lamp_agn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_178, type, aTP_Lamp_ago: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_179, type, aTP_Lamp_agp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_180, type, aTP_Lamp_agq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_181, type, aTP_Lamp_agr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_182, type, aTP_Lamp_ags: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_183, type, aTP_Lamp_agt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_184, type, aTP_Lamp_agu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_185, type, aTP_Lamp_agv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_186, type, aTP_Lamp_agw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_187, type, aTP_Lamp_agx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_188, type, aTP_Lamp_agy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_189, type, aTP_Lamp_agz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_190, type, aTP_Lamp_ah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_191, type, aTP_Lamp_aha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_192, type, aTP_Lamp_ahb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_193, type, aTP_Lamp_ahc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_194, type, aTP_Lamp_ai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_195, type, aTP_Lamp_aj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_196, type, aTP_Lamp_ak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_197, type, aTP_Lamp_al: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_198, type, aTP_Lamp_am: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_199, type, aTP_Lamp_an: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_200, type, aTP_Lamp_ao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_201, type, aTP_Lamp_ap: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_202, type, aTP_Lamp_aq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_203, type, aTP_Lamp_ar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_204, type, aTP_Lamp_as: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_205, type, aTP_Lamp_at: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_206, type, aTP_Lamp_au: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_207, type, aTP_Lamp_av: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_208, type, aTP_Lamp_aw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_209, type, aTP_Lamp_ax: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_210, type, aTP_Lamp_ay: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_211, type, aTP_Lamp_az: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_212, type, aTP_Lamp_ba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_213, type, aTP_Lamp_bb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_214, type, aTP_Lamp_bc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_215, type, aTP_Lamp_bd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_216, type, aTP_Lamp_be: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_217, type, aTP_Lamp_bf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_218, type, aTP_Lamp_bg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_219, type, aTP_Lamp_bh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_220, type, aTP_Lamp_bi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_221, type, aTP_Lamp_bj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_222, type, aTP_Lamp_bk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_223, type, aTP_Lamp_bl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_224, type, aTP_Lamp_bm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_225, type, aTP_Lamp_bn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_226, type, aTP_Lamp_bo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_227, type, aTP_Lamp_bp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_228, type, aTP_Lamp_bq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_229, type, aTP_Lamp_br: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_230, type, aTP_Lamp_bs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_231, type, aTP_Lamp_bt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_232, type, aTP_Lamp_bu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_233, type, aTP_Lamp_bv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_234, type, aTP_Lamp_bw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_235, type, aTP_Lamp_bx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_236, type, aTP_Lamp_by: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_237, type, aTP_Lamp_bz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_238, type, aTP_Lamp_ca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_239, type, aTP_Lamp_cb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_240, type, aTP_Lamp_cc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_241, type, aTP_Lamp_cd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_242, type, aTP_Lamp_ce: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_243, type, aTP_Lamp_cf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_244, type, aTP_Lamp_cg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_245, type, aTP_Lamp_ch: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_246, type, aTP_Lamp_ci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_247, type, aTP_Lamp_cj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_248, type, aTP_Lamp_ck: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_249, type, aTP_Lamp_cl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_250, type, aTP_Lamp_cm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_251, type, aTP_Lamp_cn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_252, type, aTP_Lamp_co: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_253, type, aTP_Lamp_cp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_254, type, aTP_Lamp_cq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_255, type, aTP_Lamp_cr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_256, type, aTP_Lamp_cs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_257, type, aTP_Lamp_ct: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_258, type, aTP_Lamp_cu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_259, type, aTP_Lamp_cv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_260, type, aTP_Lamp_cw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_261, type, aTP_Lamp_cx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_262, type, aTP_Lamp_cy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_263, type, aTP_Lamp_cz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_264, type, aTP_Lamp_da: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_265, type, aTP_Lamp_db: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_266, type, aTP_Lamp_dc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_267, type, aTP_Lamp_dd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_268, type, aTP_Lamp_de: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_269, type, aTP_Lamp_df: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_270, type, aTP_Lamp_dg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_271, type, aTP_Lamp_dh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_272, type, aTP_Lamp_di: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_273, type, aTP_Lamp_dj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_274, type, aTP_Lamp_dk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_275, type, aTP_Lamp_dl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_276, type, aTP_Lamp_dm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_277, type, aTP_Lamp_dn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_278, type, aTP_Lamp_do: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_279, type, aTP_Lamp_dp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_280, type, aTP_Lamp_dq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_281, type, aTP_Lamp_dr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_282, type, aTP_Lamp_ds: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_283, type, aTP_Lamp_dt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_284, type, aTP_Lamp_du: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_285, type, aTP_Lamp_dv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_286, type, aTP_Lamp_dw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_287, type, aTP_Lamp_dx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_288, type, aTP_Lamp_dy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_289, type, aTP_Lamp_dz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_290, type, aTP_Lamp_ea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_291, type, aTP_Lamp_eb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_292, type, aTP_Lamp_ec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_293, type, aTP_Lamp_ed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_294, type, aTP_Lamp_ee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_295, type, aTP_Lamp_ef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_296, type, aTP_Lamp_eg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_297, type, aTP_Lamp_eh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_298, type, aTP_Lamp_ei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_299, type, aTP_Lamp_ej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_300, type, aTP_Lamp_ek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_301, type, aTP_Lamp_el: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_302, type, aTP_Lamp_em: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_303, type, aTP_Lamp_en: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_304, type, aTP_Lamp_eo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_305, type, aTP_Lamp_ep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_306, type, aTP_Lamp_eq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_307, type, aTP_Lamp_er: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_308, type, aTP_Lamp_es: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_309, type, aTP_Lamp_et: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_310, type, aTP_Lamp_eu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_311, type, aTP_Lamp_ev: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_312, type, aTP_Lamp_ew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_313, type, aTP_Lamp_ex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_314, type, aTP_Lamp_ey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_315, type, aTP_Lamp_ez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_316, type, aTP_Lamp_fa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_317, type, aTP_Lamp_fb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_318, type, aTP_Lamp_fc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_319, type, aTP_Lamp_fd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_320, type, aTP_Lamp_fe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_321, type, aTP_Lamp_ff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_322, type, aTP_Lamp_fg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_323, type, aTP_Lamp_fh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_324, type, aTP_Lamp_fi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_325, type, aTP_Lamp_fj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_326, type, aTP_Lamp_fk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_327, type, aTP_Lamp_fl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_328, type, aTP_Lamp_fm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_329, type, aTP_Lamp_fn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_330, type, aTP_Lamp_fo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_331, type, aTP_Lamp_fp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_332, type, aTP_Lamp_fq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_333, type, aTP_Lamp_fr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_334, type, aTP_Lamp_fs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_335, type, aTP_Lamp_ft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_336, type, aTP_Lamp_fu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_337, type, aTP_Lamp_fv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_338, type, aTP_Lamp_fw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_339, type, aTP_Lamp_fx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_340, type, aTP_Lamp_fy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_341, type, aTP_Lamp_fz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_342, type, aTP_Lamp_ga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_343, type, aTP_Lamp_gb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_344, type, aTP_Lamp_gc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_345, type, aTP_Lamp_gd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_346, type, aTP_Lamp_ge: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_347, type, aTP_Lamp_gf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_348, type, aTP_Lamp_gg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_349, type, aTP_Lamp_gh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_350, type, aTP_Lamp_gi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_351, type, aTP_Lamp_gj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_352, type, aTP_Lamp_gk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_353, type, aTP_Lamp_gl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_354, type, aTP_Lamp_gm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_355, type, aTP_Lamp_gn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_356, type, aTP_Lamp_go: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_357, type, aTP_Lamp_gp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_358, type, aTP_Lamp_gq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_359, type, aTP_Lamp_gr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_360, type, aTP_Lamp_gs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_361, type, aTP_Lamp_gt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_362, type, aTP_Lamp_gu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_363, type, aTP_Lamp_gv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_364, type, aTP_Lamp_gw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_365, type, aTP_Lamp_gx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_366, type, aTP_Lamp_gy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_367, type, aTP_Lamp_gz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_368, type, aTP_Lamp_ha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_369, type, aTP_Lamp_hb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_370, type, aTP_Lamp_hc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_371, type, aTP_Lamp_hd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_372, type, aTP_Lamp_he: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_373, type, aTP_Lamp_hf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_374, type, aTP_Lamp_hg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_375, type, aTP_Lamp_hh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_376, type, aTP_Lamp_hi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_377, type, aTP_Lamp_hj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_378, type, aTP_Lamp_hk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_379, type, aTP_Lamp_hl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_380, type, aTP_Lamp_hm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_381, type, aTP_Lamp_hn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_382, type, aTP_Lamp_ho: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_383, type, aTP_Lamp_hp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_384, type, aTP_Lamp_hq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_385, type, aTP_Lamp_hr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_386, type, aTP_Lamp_hs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_387, type, aTP_Lamp_ht: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_388, type, aTP_Lamp_hu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_389, type, aTP_Lamp_hv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_390, type, aTP_Lamp_hw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_391, type, aTP_Lamp_hx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_392, type, aTP_Lamp_hy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_393, type, aTP_Lamp_hz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_394, type, aTP_Lamp_ia: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_395, type, aTP_Lamp_ib: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_396, type, aTP_Lamp_ic: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_397, type, aTP_Lamp_id: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_398, type, aTP_Lamp_ie: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_399, type, aTP_Lamp_if: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_400, type, aTP_Lamp_ig: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_401, type, aTP_Lamp_ih: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_402, type, aTP_Lamp_ii: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_403, type, aTP_Lamp_ij: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_404, type, aTP_Lamp_ik: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_405, type, aTP_Lamp_il: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_406, type, aTP_Lamp_im: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_407, type, aTP_Lamp_in: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_408, type, aTP_Lamp_io: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_409, type, aTP_Lamp_ip: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_410, type, aTP_Lamp_iq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_411, type, aTP_Lamp_ir: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_412, type, aTP_Lamp_is: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_413, type, aTP_Lamp_it: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_414, type, aTP_Lamp_iu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_415, type, aTP_Lamp_iv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_416, type, aTP_Lamp_iw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_417, type, aTP_Lamp_ix: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_418, type, aTP_Lamp_iy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_419, type, aTP_Lamp_iz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_420, type, aTP_Lamp_ja: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_421, type, aTP_Lamp_jb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_422, type, aTP_Lamp_jc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_423, type, aTP_Lamp_jd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_424, type, aTP_Lamp_je: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_425, type, aTP_Lamp_jf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_426, type, aTP_Lamp_jg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_427, type, aTP_Lamp_jh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_428, type, aTP_Lamp_ji: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_429, type, aTP_Lamp_jj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_430, type, aTP_Lamp_jk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_431, type, aTP_Lamp_jl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_432, type, aTP_Lamp_jm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_433, type, aTP_Lamp_jn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_434, type, aTP_Lamp_jo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_435, type, aTP_Lamp_jp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_436, type, aTP_Lamp_jq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_437, type, aTP_Lamp_jr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_438, type, aTP_Lamp_js: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_439, type, aTP_Lamp_jt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_440, type, aTP_Lamp_ju: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_441, type, aTP_Lamp_jv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_442, type, aTP_Lamp_jw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_443, type, aTP_Lamp_jx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_444, type, aTP_Lamp_jy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_445, type, aTP_Lamp_jz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_446, type, aTP_Lamp_ka: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_447, type, aTP_Lamp_kb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_448, type, aTP_Lamp_kc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_449, type, aTP_Lamp_kd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_450, type, aTP_Lamp_ke: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_451, type, aTP_Lamp_kf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_452, type, aTP_Lamp_kg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_453, type, aTP_Lamp_kh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_454, type, aTP_Lamp_ki: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_455, type, aTP_Lamp_kj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_456, type, aTP_Lamp_kk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_457, type, aTP_Lamp_kl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_458, type, aTP_Lamp_km: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_459, type, aTP_Lamp_kn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_460, type, aTP_Lamp_ko: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_461, type, aTP_Lamp_kp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_462, type, aTP_Lamp_kq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_463, type, aTP_Lamp_kr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_464, type, aTP_Lamp_ks: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_465, type, aTP_Lamp_kt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_466, type, aTP_Lamp_ku: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_467, type, aTP_Lamp_kv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_468, type, aTP_Lamp_kw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_469, type, aTP_Lamp_kx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_470, type, aTP_Lamp_ky: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_471, type, aTP_Lamp_kz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_472, type, aTP_Lamp_la: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_473, type, aTP_Lamp_lb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_474, type, aTP_Lamp_lc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_475, type, aTP_Lamp_ld: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_476, type, aTP_Lamp_le: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_477, type, aTP_Lamp_lf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_478, type, aTP_Lamp_lg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_479, type, aTP_Lamp_lh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_480, type, aTP_Lamp_li: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_481, type, aTP_Lamp_lj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_482, type, aTP_Lamp_lk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_483, type, aTP_Lamp_ll: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_484, type, aTP_Lamp_lm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_485, type, aTP_Lamp_ln: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_486, type, aTP_Lamp_lo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_487, type, aTP_Lamp_lp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_488, type, aTP_Lamp_lq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_489, type, aTP_Lamp_lr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_490, type, aTP_Lamp_ls: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_491, type, aTP_Lamp_lt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_492, type, aTP_Lamp_lu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_493, type, aTP_Lamp_lv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_494, type, aTP_Lamp_lw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_495, type, aTP_Lamp_lx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_496, type, aTP_Lamp_ly: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_497, type, aTP_Lamp_lz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_498, type, aTP_Lamp_ma: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_499, type, aTP_Lamp_mb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_500, type, aTP_Lamp_mc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_501, type, aTP_Lamp_md: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_502, type, aTP_Lamp_me: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_503, type, aTP_Lamp_mf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_504, type, aTP_Lamp_mg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_505, type, aTP_Lamp_mh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_506, type, aTP_Lamp_mi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_507, type, aTP_Lamp_mj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_508, type, aTP_Lamp_mk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_509, type, aTP_Lamp_ml: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_510, type, aTP_Lamp_mm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_511, type, aTP_Lamp_mn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_512, type, aTP_Lamp_mo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_513, type, aTP_Lamp_mp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_514, type, aTP_Lamp_mq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_515, type, aTP_Lamp_mr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_516, type, aTP_Lamp_ms: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_517, type, aTP_Lamp_mt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_518, type, aTP_Lamp_mu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_519, type, aTP_Lamp_mv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_520, type, aTP_Lamp_mw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_521, type, aTP_Lamp_mx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_522, type, aTP_Lamp_my: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_523, type, aTP_Lamp_mz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_524, type, aTP_Lamp_na: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_525, type, aTP_Lamp_nb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_526, type, aTP_Lamp_nc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_527, type, aTP_Lamp_nd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_528, type, aTP_Lamp_ne: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_529, type, aTP_Lamp_nf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_530, type, aTP_Lamp_ng: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_531, type, aTP_Lamp_nh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_532, type, aTP_Lamp_ni: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_533, type, aTP_Lamp_nj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_534, type, aTP_Lamp_nk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_535, type, aTP_Lamp_nl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_536, type, aTP_Lamp_nm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_537, type, aTP_Lamp_nn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_538, type, aTP_Lamp_no: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_539, type, aTP_Lamp_np: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_540, type, aTP_Lamp_nq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_541, type, aTP_Lamp_nr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_542, type, aTP_Lamp_ns: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_543, type, aTP_Lamp_nt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_544, type, aTP_Lamp_nu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_545, type, aTP_Lamp_nv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_546, type, aTP_Lamp_nw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_547, type, aTP_Lamp_nx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_548, type, aTP_Lamp_ny: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_549, type, aTP_Lamp_nz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_550, type, aTP_Lamp_oa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_551, type, aTP_Lamp_ob: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_552, type, aTP_Lamp_oc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_553, type, aTP_Lamp_od: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_554, type, aTP_Lamp_oe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_555, type, aTP_Lamp_of: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_556, type, aTP_Lamp_og: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_557, type, aTP_Lamp_oh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_558, type, aTP_Lamp_oi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_559, type, aTP_Lamp_oj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_560, type, aTP_Lamp_ok: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_561, type, aTP_Lamp_ol: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_562, type, aTP_Lamp_om: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_563, type, aTP_Lamp_on: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_564, type, aTP_Lamp_oo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_565, type, aTP_Lamp_op: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_566, type, aTP_Lamp_oq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_567, type, aTP_Lamp_or: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_568, type, aTP_Lamp_os: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_569, type, aTP_Lamp_ot: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_570, type, aTP_Lamp_ou: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_571, type, aTP_Lamp_ov: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_572, type, aTP_Lamp_ow: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_573, type, aTP_Lamp_ox: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_574, type, aTP_Lamp_oy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_575, type, aTP_Lamp_oz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_576, type, aTP_Lamp_pa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_577, type, aTP_Lamp_pb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_578, type, aTP_Lamp_pc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_579, type, aTP_Lamp_pd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_580, type, aTP_Lamp_pe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_581, type, aTP_Lamp_pf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_582, type, aTP_Lamp_pg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_583, type, aTP_Lamp_ph: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_584, type, aTP_Lamp_pi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_585, type, aTP_Lamp_pj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_586, type, aTP_Lamp_pk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_587, type, aTP_Lamp_pl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_588, type, aTP_Lamp_pm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_589, type, aTP_Lamp_pn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_590, type, aTP_Lamp_po: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_591, type, aTP_Lamp_pp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_592, type, aTP_Lamp_pq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_593, type, aTP_Lamp_pr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_594, type, aTP_Lamp_ps: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_595, type, aTP_Lamp_pt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_596, type, aTP_Lamp_pu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_597, type, aTP_Lamp_pv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_598, type, aTP_Lamp_pw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_599, type, aTP_Lamp_px: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_600, type, aTP_Lamp_py: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_601, type, aTP_Lamp_pz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_602, type, aTP_Lamp_qa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_603, type, aTP_Lamp_qb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_604, type, aTP_Lamp_qc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_605, type, aTP_Lamp_qd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_606, type, aTP_Lamp_qe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_607, type, aTP_Lamp_qf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_608, type, aTP_Lamp_qg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_609, type, aTP_Lamp_qh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_610, type, aTP_Lamp_qi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_611, type, aTP_Lamp_qj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_612, type, aTP_Lamp_qk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_613, type, aTP_Lamp_ql: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_614, type, aTP_Lamp_qm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_615, type, aTP_Lamp_qn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_616, type, aTP_Lamp_qo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_617, type, aTP_Lamp_qp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_618, type, aTP_Lamp_qq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_619, type, aTP_Lamp_qr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_620, type, aTP_Lamp_qs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_621, type, aTP_Lamp_qt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_622, type, aTP_Lamp_qu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_623, type, aTP_Lamp_qv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_624, type, aTP_Lamp_qw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_625, type, aTP_Lamp_qx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_626, type, aTP_Lamp_qy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_627, type, aTP_Lamp_qz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_628, type, aTP_Lamp_ra: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_629, type, aTP_Lamp_rb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_630, type, aTP_Lamp_rc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_631, type, aTP_Lamp_rd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_632, type, aTP_Lamp_re: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_633, type, aTP_Lamp_rf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_634, type, aTP_Lamp_rg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_635, type, aTP_Lamp_rh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_636, type, aTP_Lamp_ri: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_637, type, aTP_Lamp_rj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_638, type, aTP_Lamp_rk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_639, type, aTP_Lamp_rl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_640, type, aTP_Lamp_rm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_641, type, aTP_Lamp_rn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_642, type, aTP_Lamp_ro: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_643, type, aTP_Lamp_rp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_644, type, aTP_Lamp_rq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_645, type, aTP_Lamp_rr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_646, type, aTP_Lamp_rs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_647, type, aTP_Lamp_rt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_648, type, aTP_Lamp_ru: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_649, type, aTP_Lamp_rv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_650, type, aTP_Lamp_rw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_651, type, aTP_Lamp_rx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_652, type, aTP_Lamp_ry: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_653, type, aTP_Lamp_rz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_654, type, aTP_Lamp_sa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_655, type, aTP_Lamp_sb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_656, type, aTP_Lamp_sc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_657, type, aTP_Lamp_sd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_658, type, aTP_Lamp_se: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_659, type, aTP_Lamp_sf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_660, type, aTP_Lamp_sg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_661, type, aTP_Lamp_sh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_662, type, aTP_Lamp_si: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_663, type, aTP_Lamp_sj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_664, type, aTP_Lamp_sk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_665, type, aTP_Lamp_sl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_666, type, aTP_Lamp_sm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_667, type, aTP_Lamp_sn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_668, type, aTP_Lamp_so: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_669, type, aTP_Lamp_sp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_670, type, aTP_Lamp_sq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_671, type, aTP_Lamp_sr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_672, type, aTP_Lamp_ss: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_673, type, aTP_Lamp_st: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_674, type, aTP_Lamp_su: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_675, type, aTP_Lamp_sv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_676, type, aTP_Lamp_sw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_677, type, aTP_Lamp_sx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_678, type, aTP_Lamp_sy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_679, type, aTP_Lamp_sz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_680, type, aTP_Lamp_ta: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_681, type, aTP_Lamp_tb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_682, type, aTP_Lamp_tc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_683, type, aTP_Lamp_td: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_684, type, aTP_Lamp_te: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_685, type, aTP_Lamp_tf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_686, type, aTP_Lamp_tg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_687, type, aTP_Lamp_th: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_688, type, aTP_Lamp_ti: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_689, type, aTP_Lamp_tj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_690, type, aTP_Lamp_tk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_691, type, aTP_Lamp_tl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_692, type, aTP_Lamp_tm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_693, type, aTP_Lamp_tn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_694, type, aTP_Lamp_to: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_695, type, aTP_Lamp_tp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_696, type, aTP_Lamp_tq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_697, type, aTP_Lamp_tr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_698, type, aTP_Lamp_ts: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_699, type, aTP_Lamp_tt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_700, type, aTP_Lamp_tu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_701, type, aTP_Lamp_tv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_702, type, aTP_Lamp_tw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_703, type, aTP_Lamp_tx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_704, type, aTP_Lamp_ty: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_705, type, aTP_Lamp_tz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_706, type, aTP_Lamp_ua: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_707, type, aTP_Lamp_ub: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_708, type, aTP_Lamp_uc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_709, type, aTP_Lamp_ud: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_710, type, aTP_Lamp_ue: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_711, type, aTP_Lamp_uf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_712, type, aTP_Lamp_ug: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_713, type, aTP_Lamp_uh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_714, type, aTP_Lamp_ui: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_715, type, aTP_Lamp_uj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_716, type, aTP_Lamp_uk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_717, type, aTP_Lamp_ul: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_718, type, aTP_Lamp_um: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_719, type, aTP_Lamp_un: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_720, type, aTP_Lamp_uo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_721, type, aTP_Lamp_up: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_722, type, aTP_Lamp_uq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_723, type, aTP_Lamp_ur: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_724, type, aTP_Lamp_us: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_725, type, aTP_Lamp_ut: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_726, type, aTP_Lamp_uu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_727, type, aTP_Lamp_uv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_728, type, aTP_Lamp_uw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_729, type, aTP_Lamp_ux: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_730, type, aTP_Lamp_uy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_731, type, aTP_Lamp_uz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_732, type, aTP_Lamp_va: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_733, type, aTP_Lamp_vb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_734, type, aTP_Lamp_vc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_735, type, aTP_Lamp_vd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_736, type, aTP_Lamp_ve: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_737, type, aTP_Lamp_vf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_738, type, aTP_Lamp_vg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_739, type, aTP_Lamp_vh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_740, type, aTP_Lamp_vi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_741, type, aTP_Lamp_vj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_742, type, aTP_Lamp_vk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_743, type, aTP_Lamp_vl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_744, type, aTP_Lamp_vm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_745, type, aTP_Lamp_vn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_746, type, aTP_Lamp_vo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_747, type, aTP_Lamp_vp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_748, type, aTP_Lamp_vq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_749, type, aTP_Lamp_vr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_750, type, aTP_Lamp_vs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_751, type, aTP_Lamp_vt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_752, type, aTP_Lamp_vu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_753, type, aTP_Lamp_vv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_754, type, aTP_Lamp_vw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_755, type, aTP_Lamp_vx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_756, type, aTP_Lamp_vy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_757, type, aTP_Lamp_vz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_758, type, aTP_Lamp_wa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_759, type, aTP_Lamp_wb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_760, type, aTP_Lamp_wc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_761, type, aTP_Lamp_wd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_762, type, aTP_Lamp_we: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_763, type, aTP_Lamp_wf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_764, type, aTP_Lamp_wg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_765, type, aTP_Lamp_wh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_766, type, aTP_Lamp_wi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_767, type, aTP_Lamp_wj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_768, type, aTP_Lamp_wk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_769, type, aTP_Lamp_wl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_770, type, aTP_Lamp_wm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_771, type, aTP_Lamp_wn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_772, type, aTP_Lamp_wo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_773, type, aTP_Lamp_wp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_774, type, aTP_Lamp_wq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_775, type, aTP_Lamp_wr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_776, type, aTP_Lamp_ws: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_777, type, aTP_Lamp_wt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_778, type, aTP_Lamp_wu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_779, type, aTP_Lamp_wv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_780, type, aTP_Lamp_ww: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_781, type, aTP_Lamp_wx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_782, type, aTP_Lamp_wy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_783, type, aTP_Lamp_wz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_784, type, aTP_Lamp_xa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_785, type, aTP_Lamp_xb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_786, type, aTP_Lamp_xc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_787, type, aTP_Lamp_xd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_788, type, aTP_Lamp_xe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_789, type, aTP_Lamp_xf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_790, type, aTP_Lamp_xg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_791, type, aTP_Lamp_xh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_792, type, aTP_Lamp_xi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_793, type, aTP_Lamp_xj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_794, type, aTP_Lamp_xk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_795, type, aTP_Lamp_xl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_796, type, aTP_Lamp_xm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_797, type, aTP_Lamp_xn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_798, type, aTP_Lamp_xo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_799, type, aTP_Lamp_xp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_800, type, aTP_Lamp_xq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_801, type, aTP_Lamp_xr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_802, type, aTP_Lamp_xs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_803, type, aTP_Lamp_xt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_804, type, aTP_Lamp_xu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_805, type, aTP_Lamp_xv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_806, type, aTP_Lamp_xw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_807, type, aTP_Lamp_xx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_808, type, aTP_Lamp_xy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_809, type, aTP_Lamp_xz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_810, type, aTP_Lamp_ya: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_811, type, aTP_Lamp_yb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_812, type, aTP_Lamp_yc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_813, type, aTP_Lamp_yd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_814, type, aTP_Lamp_ye: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_815, type, aTP_Lamp_yf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_816, type, aTP_Lamp_yg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_817, type, aTP_Lamp_yh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_818, type, aTP_Lamp_yi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_819, type, aTP_Lamp_yj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_820, type, aTP_Lamp_yk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_821, type, aTP_Lamp_yl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_822, type, aTP_Lamp_ym: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_823, type, aTP_Lamp_yn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_824, type, aTP_Lamp_yo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_825, type, aTP_Lamp_yp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_826, type, aTP_Lamp_yq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_827, type, aTP_Lamp_yr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_828, type, aTP_Lamp_ys: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_829, type, aTP_Lamp_yt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_830, type, aTP_Lamp_yu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_831, type, aTP_Lamp_yv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_832, type, aTP_Lamp_yw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_833, type, aTP_Lamp_yx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_834, type, aTP_Lamp_yy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_835, type, aTP_Lamp_yz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_836, type, aTP_Lamp_za: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_837, type, aTP_Lamp_zb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_838, type, aTP_Lamp_zc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_839, type, aTP_Lamp_zd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_840, type, aTP_Lamp_ze: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_841, type, aTP_Lamp_zf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_842, type, aTP_Lamp_zg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_843, type, aTP_Lamp_zh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_844, type, aTP_Lamp_zi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_845, type, aTP_Lamp_zj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_846, type, aTP_Lamp_zk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_847, type, aTP_Lamp_zl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_848, type, aTP_Lamp_zm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 57.64/9.35 tff(func_def_849, type, aTP_Lamp_zn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_850, type, aTP_Lamp_zo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_851, type, aTP_Lamp_zp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_852, type, aTP_Lamp_zq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_853, type, aTP_Lamp_zr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_854, type, aTP_Lamp_zs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_855, type, aTP_Lamp_zt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_856, type, aTP_Lamp_zu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_857, type, aTP_Lamp_zv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_858, type, aTP_Lamp_zw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_859, type, aTP_Lamp_zx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_860, type, aTP_Lamp_zy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_861, type, aTP_Lamp_zz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 57.64/9.35 tff(func_def_862, type, archimedean_ceiling: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_863, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_864, type, archimedean_frac: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_865, type, archimedean_round: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_866, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X1) * fun(X0,X2)) > set(product_prod(X1,X2)))).
% 57.64/9.35 tff(func_def_867, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,X1)) > set(product_prod(X1,X1)))).
% 57.64/9.35 tff(func_def_868, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1)) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_869, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(fun(X0,X1)))).
% 57.64/9.35 tff(func_def_870, 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)))).
% 57.64/9.35 tff(func_def_871, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1)) > nat)).
% 57.64/9.35 tff(func_def_872, type, binomial: nat > fun(nat,nat)).
% 57.64/9.35 tff(func_def_873, type, gbinomial: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_874, type, bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o))).
% 57.64/9.35 tff(func_def_875, type, bit_and_not_num: (num * num) > option(num)).
% 57.64/9.35 tff(func_def_876, type, bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_877, type, bit_concat_bit: (nat * int) > fun(int,int)).
% 57.64/9.35 tff(func_def_878, type, bit_or_not_num_neg: (num * num) > num).
% 57.64/9.35 tff(func_def_879, type, bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_880, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_881, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_882, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_883, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_884, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_885, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_886, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_887, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_888, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_889, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_890, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_891, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_892, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0) > fun(nat,$o))).
% 57.64/9.35 tff(func_def_893, type, bit_take_bit_num: (nat * num) > option(num)).
% 57.64/9.35 tff(func_def_894, type, bit_un1837492267222099188nd_num: fun(num,fun(num,option(num)))).
% 57.64/9.35 tff(func_def_895, type, bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_896, type, bit_un6178654185764691216or_num: fun(num,fun(num,option(num)))).
% 57.64/9.35 tff(func_def_897, type, bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_898, type, bit_un7362597486090784418nd_num: fun(num,fun(num,option(num)))).
% 57.64/9.35 tff(func_def_899, type, bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_900, type, bit_un2480387367778600638or_num: fun(num,fun(num,option(num)))).
% 57.64/9.35 tff(func_def_901, type, bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 57.64/9.35 tff(func_def_902, type, code_bit_cut_integer: code_integer > product_prod(code_integer,$o)).
% 57.64/9.35 tff(func_def_903, type, code_divmod_abs: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_904, type, code_divmod_integer: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_905, type, code_int_of_integer: code_integer > int).
% 57.64/9.35 tff(func_def_906, type, code_integer_of_int: int > code_integer).
% 57.64/9.35 tff(func_def_907, type, code_integer_of_num: fun(num,code_integer)).
% 57.64/9.35 tff(func_def_908, type, code_nat_of_integer: code_integer > nat).
% 57.64/9.35 tff(func_def_909, type, code_negative: fun(num,code_integer)).
% 57.64/9.35 tff(func_def_910, type, code_num_of_integer: code_integer > num).
% 57.64/9.35 tff(func_def_911, type, code_positive: fun(num,code_integer)).
% 57.64/9.35 tff(func_def_912, type, code_Target_negative: fun(num,int)).
% 57.64/9.35 tff(func_def_913, type, code_Target_positive: fun(num,int)).
% 57.64/9.35 tff(func_def_914, type, complete_Inf_Inf: !>[X0: $tType]:(fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_915, type, complete_Sup_Sup: !>[X0: $tType]:(fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_916, type, arg: complex > real).
% 57.64/9.35 tff(func_def_917, type, cis: real > complex).
% 57.64/9.35 tff(func_def_918, type, cnj: complex > complex).
% 57.64/9.35 tff(func_def_919, type, complex2: (real * real) > complex).
% 57.64/9.35 tff(func_def_920, type, im: complex > real).
% 57.64/9.35 tff(func_def_921, type, re: complex > real).
% 57.64/9.35 tff(func_def_922, type, csqrt: complex > complex).
% 57.64/9.35 tff(func_def_923, type, imaginary_unit: complex).
% 57.64/9.35 tff(func_def_924, type, adjust_div: product_prod(int,int) > int).
% 57.64/9.35 tff(func_def_925, type, adjust_mod: (int * int) > int).
% 57.64/9.35 tff(func_def_926, type, divmod_nat: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_927, type, unique8689654367752047608divmod: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_928, type, unique1321980374590559556d_step: !>[X0: $tType]:((num * product_prod(X0,X0)) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_929, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 * nat) > X0)).
% 57.64/9.35 tff(func_def_930, type, semiring_char_0_fact: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_931, type, inverse_inverse: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_932, type, at_bot: !>[X0: $tType]:(filter(X0))).
% 57.64/9.35 tff(func_def_933, type, at_top: !>[X0: $tType]:(filter(X0))).
% 57.64/9.35 tff(func_def_934, type, filtercomap: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1)) > filter(X0))).
% 57.64/9.35 tff(func_def_935, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * filter(X0)) > filter(X1))).
% 57.64/9.35 tff(func_def_936, type, principal: !>[X0: $tType]:((set(X0)) > filter(X0))).
% 57.64/9.35 tff(func_def_937, type, finite_Fpow: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_938, type, finite_card: !>[X0: $tType]:(fun(set(X0),nat))).
% 57.64/9.35 tff(func_def_939, type, finite_fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1 * set(X0)) > X1)).
% 57.64/9.35 tff(func_def_940, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(fun(X2,X0),fun(X2,X1)))).
% 57.64/9.35 tff(func_def_941, type, fun_upd: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1) > fun(X0,X1))).
% 57.64/9.35 tff(func_def_942, type, id: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_943, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,X1) * fun(X2,X3)) > fun(fun(X1,X2),fun(X0,X3)))).
% 57.64/9.35 tff(func_def_944, type, override_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,X1) * set(X0)) > fun(X0,X1))).
% 57.64/9.35 tff(func_def_945, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_946, type, gcd_Gcd: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_947, type, bezw: (nat * nat) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_948, type, bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 57.64/9.35 tff(func_def_949, type, gcd_gcd: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_950, type, gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 57.64/9.35 tff(func_def_951, type, abs_abs: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_952, type, minus_minus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_953, type, one_one: !>[X0: $tType]:(X0)).
% 57.64/9.35 tff(func_def_954, type, plus_plus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_955, type, sgn_sgn: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_956, type, times_times: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_957, type, uminus_uminus: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_958, type, zero_zero: !>[X0: $tType]:(X0)).
% 57.64/9.35 tff(func_def_959, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(set(X0),X1))).
% 57.64/9.35 tff(func_def_960, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 57.64/9.35 tff(func_def_961, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 57.64/9.35 tff(func_def_962, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 57.64/9.35 tff(func_def_963, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X1 * list(X0)) > X1)).
% 57.64/9.35 tff(func_def_964, type, groups8242544230860333062m_list: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_965, type, the: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_966, type, abs_Integ: fun(product_prod(nat,nat),int)).
% 57.64/9.35 tff(func_def_967, type, rep_Integ: fun(int,product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_968, type, int_ge_less_than: int > set(product_prod(int,int))).
% 57.64/9.35 tff(func_def_969, type, int_ge_less_than2: int > set(product_prod(int,int))).
% 57.64/9.35 tff(func_def_970, type, nat2: fun(int,nat)).
% 57.64/9.35 tff(func_def_971, type, power_int: !>[X0: $tType]:((X0 * int) > X0)).
% 57.64/9.35 tff(func_def_972, type, ring_1_Ints: !>[X0: $tType]:(set(X0))).
% 57.64/9.35 tff(func_def_973, type, ring_1_of_int: !>[X0: $tType]:(fun(int,X0))).
% 57.64/9.35 tff(func_def_974, type, inf_inf: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_975, type, sup_sup: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_976, type, lattices_Min: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_977, type, lattic643756798349783984er_Max: !>[X0: $tType]:(fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_978, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_979, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_980, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_981, type, at_infinity: !>[X0: $tType]:(filter(X0))).
% 57.64/9.35 tff(func_def_982, type, append: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_983, type, bind: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,list(X1))) > list(X1))).
% 57.64/9.35 tff(func_def_984, type, concat: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.35 tff(func_def_985, type, count_list: !>[X0: $tType]:((list(X0)) > fun(X0,nat))).
% 57.64/9.35 tff(func_def_986, type, drop: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_987, type, enumerate: !>[X0: $tType]:((nat * list(X0)) > list(product_prod(nat,X0)))).
% 57.64/9.35 tff(func_def_988, type, extract: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 57.64/9.35 tff(func_def_989, type, filter2: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_990, type, foldl: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X0)) * X0 * list(X1)) > X0)).
% 57.64/9.35 tff(func_def_991, type, foldr: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0) * X1) > X1)).
% 57.64/9.35 tff(func_def_992, type, lenlex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 57.64/9.35 tff(func_def_993, type, lex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 57.64/9.35 tff(func_def_994, type, lexn: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat) > set(product_prod(list(X0),list(X0))))).
% 57.64/9.35 tff(func_def_995, type, lexord: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 57.64/9.35 tff(func_def_996, type, insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 * list(X1)) > list(X1))).
% 57.64/9.35 tff(func_def_997, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1)) > list(X1))).
% 57.64/9.35 tff(func_def_998, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_999, type, linord4507533701916653071of_set: !>[X0: $tType]:((set(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1000, type, cons: !>[X0: $tType]:((X0) > fun(list(X0),list(X0)))).
% 57.64/9.35 tff(func_def_1001, type, nil: !>[X0: $tType]:(list(X0))).
% 57.64/9.35 tff(func_def_1002, type, case_list: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),X0)) * list(X1)) > X0)).
% 57.64/9.35 tff(func_def_1003, type, hd: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_1004, type, map: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(list(X0),list(X1)))).
% 57.64/9.35 tff(func_def_1005, type, set2: !>[X0: $tType]:(fun(list(X0),set(X0)))).
% 57.64/9.35 tff(func_def_1006, type, size_list: !>[X0: $tType]:((fun(X0,nat) * list(X0)) > nat)).
% 57.64/9.35 tff(func_def_1007, type, list_update: !>[X0: $tType]:((list(X0) * nat * X0) > list(X0))).
% 57.64/9.35 tff(func_def_1008, type, listrel: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > set(product_prod(list(X0),list(X1))))).
% 57.64/9.35 tff(func_def_1009, type, listrel1: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 57.64/9.35 tff(func_def_1010, type, map_filter: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0)) > list(X1))).
% 57.64/9.35 tff(func_def_1011, type, n_lists: !>[X0: $tType]:((nat * list(X0)) > list(list(X0)))).
% 57.64/9.35 tff(func_def_1012, type, nth: !>[X0: $tType]:((list(X0)) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_1013, type, nths: !>[X0: $tType]:((list(X0) * set(nat)) > list(X0))).
% 57.64/9.35 tff(func_def_1014, type, product: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 57.64/9.35 tff(func_def_1015, type, product_lists: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 57.64/9.35 tff(func_def_1016, type, remdups: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1017, type, remdups_adj: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1018, type, remove1: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1019, type, removeAll: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1020, type, replicate: !>[X0: $tType]:((nat * X0) > list(X0))).
% 57.64/9.35 tff(func_def_1021, type, rev: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1022, type, rotate1: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1023, type, shuffles: !>[X0: $tType]:((list(X0) * list(X0)) > set(list(X0)))).
% 57.64/9.35 tff(func_def_1024, type, sorted_wrt_rel: !>[X0: $tType]:(fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)))).
% 57.64/9.35 tff(func_def_1025, type, subseqs: !>[X0: $tType]:((list(X0)) > list(list(X0)))).
% 57.64/9.35 tff(func_def_1026, type, take: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1027, type, takeWhile: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1028, type, transpose: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 57.64/9.35 tff(func_def_1029, type, union: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_1030, type, upt: (nat * nat) > list(nat)).
% 57.64/9.35 tff(func_def_1031, type, upto: (int * int) > list(int)).
% 57.64/9.35 tff(func_def_1032, type, upto_aux: (int * int * list(int)) > list(int)).
% 57.64/9.35 tff(func_def_1033, type, upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o))).
% 57.64/9.35 tff(func_def_1034, type, zip: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 57.64/9.35 tff(func_def_1035, type, dom: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X0))).
% 57.64/9.35 tff(func_def_1036, type, graph: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(product_prod(X0,X1)))).
% 57.64/9.35 tff(func_def_1037, type, map_of: !>[X0: $tType, X1: $tType]:((list(product_prod(X0,X1))) > fun(X0,option(X1)))).
% 57.64/9.35 tff(func_def_1038, type, map_upds: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0) * list(X1)) > fun(X0,option(X1)))).
% 57.64/9.35 tff(func_def_1039, type, ran: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X1))).
% 57.64/9.35 tff(func_def_1040, type, restrict_map: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0)) > fun(X0,option(X1)))).
% 57.64/9.35 tff(func_def_1041, type, suc: fun(nat,nat)).
% 57.64/9.35 tff(func_def_1042, type, compow: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_1043, type, funpow: !>[X0: $tType]:(fun(nat,fun(fun(X0,X0),fun(X0,X0))))).
% 57.64/9.35 tff(func_def_1044, type, case_nat: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > X0)).
% 57.64/9.35 tff(func_def_1045, type, pred: nat > nat).
% 57.64/9.35 tff(func_def_1046, type, rec_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0))) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_1047, type, rec_set_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0)) * nat) > fun(X0,$o))).
% 57.64/9.35 tff(func_def_1048, type, semiring_1_Nats: !>[X0: $tType]:(set(X0))).
% 57.64/9.35 tff(func_def_1049, type, semiring_1_of_nat: !>[X0: $tType]:(fun(nat,X0))).
% 57.64/9.35 tff(func_def_1050, type, semiri8178284476397505188at_aux: !>[X0: $tType]:((fun(X0,X0) * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1051, type, size_size: !>[X0: $tType]:(fun(X0,nat))).
% 57.64/9.35 tff(func_def_1052, type, nat_list_encode: list(nat) > nat).
% 57.64/9.35 tff(func_def_1053, type, nat_list_encode_rel: fun(list(nat),fun(list(nat),$o))).
% 57.64/9.35 tff(func_def_1054, type, nat_prod_decode_aux: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_1055, type, nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 57.64/9.35 tff(func_def_1056, type, nat_prod_encode: fun(product_prod(nat,nat),nat)).
% 57.64/9.35 tff(func_def_1057, type, nat_set_decode: nat > set(nat)).
% 57.64/9.35 tff(func_def_1058, type, nat_set_encode: fun(set(nat),nat)).
% 57.64/9.35 tff(func_def_1059, type, nat_triangle: nat > nat).
% 57.64/9.35 tff(func_def_1060, type, root: nat > fun(real,real)).
% 57.64/9.35 tff(func_def_1061, type, sqrt: fun(real,real)).
% 57.64/9.35 tff(func_def_1062, type, bitM: num > num).
% 57.64/9.35 tff(func_def_1063, type, inc: num > num).
% 57.64/9.35 tff(func_def_1064, type, neg_numeral_dbl: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1065, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1066, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1067, type, neg_numeral_sub: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1068, type, bit0: fun(num,num)).
% 57.64/9.35 tff(func_def_1069, type, bit1: fun(num,num)).
% 57.64/9.35 tff(func_def_1070, type, one2: num).
% 57.64/9.35 tff(func_def_1071, type, case_num: !>[X0: $tType]:((X0 * fun(num,X0) * fun(num,X0) * num) > X0)).
% 57.64/9.35 tff(func_def_1072, type, size_num: num > nat).
% 57.64/9.35 tff(func_def_1073, type, num_of_nat: nat > num).
% 57.64/9.35 tff(func_def_1074, type, numeral_numeral: !>[X0: $tType]:(fun(num,X0))).
% 57.64/9.35 tff(func_def_1075, type, pow: (num * num) > num).
% 57.64/9.35 tff(func_def_1076, type, pred_numeral: num > nat).
% 57.64/9.35 tff(func_def_1077, type, sqr: num > num).
% 57.64/9.35 tff(func_def_1078, type, none: !>[X0: $tType]:(option(X0))).
% 57.64/9.35 tff(func_def_1079, type, some: !>[X0: $tType]:(fun(X0,option(X0)))).
% 57.64/9.35 tff(func_def_1080, type, case_option: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * option(X1)) > X0)).
% 57.64/9.35 tff(func_def_1081, type, map_option: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(option(X0),option(X1)))).
% 57.64/9.35 tff(func_def_1082, type, size_option: !>[X0: $tType]:((fun(X0,nat) * option(X0)) > nat)).
% 57.64/9.35 tff(func_def_1083, type, the2: !>[X0: $tType]:(fun(option(X0),X0))).
% 57.64/9.35 tff(func_def_1084, type, these: !>[X0: $tType]:((set(option(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_1085, type, bot_bot: !>[X0: $tType]:(X0)).
% 57.64/9.35 tff(func_def_1086, type, min: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_1087, type, ord_less: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 57.64/9.35 tff(func_def_1088, type, ord_less_eq: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 57.64/9.35 tff(func_def_1089, type, ord_max: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_1090, type, ord_min: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1091, type, order_Greatest: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_1092, type, top_top: !>[X0: $tType]:(X0)).
% 57.64/9.35 tff(func_def_1093, type, power_power: !>[X0: $tType]:(fun(X0,fun(nat,X0)))).
% 57.64/9.35 tff(func_def_1094, type, product_Pair: !>[X0: $tType, X1: $tType]:(fun(X0,fun(X1,product_prod(X0,X1))))).
% 57.64/9.35 tff(func_def_1095, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(product_prod(X0,X2),product_prod(X1,X2)))).
% 57.64/9.35 tff(func_def_1096, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))))).
% 57.64/9.35 tff(func_def_1097, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * product_prod(X0,X1)) > X2)).
% 57.64/9.35 tff(func_def_1098, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)))).
% 57.64/9.35 tff(func_def_1099, type, product_fst: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X0))).
% 57.64/9.35 tff(func_def_1100, type, product_snd: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X1))).
% 57.64/9.35 tff(func_def_1101, type, product_product: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(product_prod(X0,X1)))).
% 57.64/9.35 tff(func_def_1102, type, abs_Rat: fun(product_prod(int,int),rat)).
% 57.64/9.35 tff(func_def_1103, type, fract: (int * int) > rat).
% 57.64/9.35 tff(func_def_1104, type, frct: product_prod(int,int) > rat).
% 57.64/9.35 tff(func_def_1105, type, rep_Rat: fun(rat,product_prod(int,int))).
% 57.64/9.35 tff(func_def_1106, type, field_char_0_Rats: !>[X0: $tType]:(set(X0))).
% 57.64/9.35 tff(func_def_1107, type, field_char_0_of_rat: !>[X0: $tType]:(fun(rat,X0))).
% 57.64/9.35 tff(func_def_1108, type, normalize: product_prod(int,int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1109, type, of_int: int > rat).
% 57.64/9.35 tff(func_def_1110, type, positive: fun(rat,$o)).
% 57.64/9.35 tff(func_def_1111, type, quotient_of: rat > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1112, type, real_Vector_Reals: !>[X0: $tType]:(set(X0))).
% 57.64/9.35 tff(func_def_1113, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 * X0) > real)).
% 57.64/9.35 tff(func_def_1114, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0) > real)).
% 57.64/9.35 tff(func_def_1115, type, real_Vector_of_real: !>[X0: $tType]:((real) > X0)).
% 57.64/9.35 tff(func_def_1116, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real * X0) > X0)).
% 57.64/9.35 tff(func_def_1117, type, id2: !>[X0: $tType]:(set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1118, type, id_on: !>[X0: $tType]:((set(X0)) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1119, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X1)) * set(product_prod(X1,X2))) > set(product_prod(X0,X2)))).
% 57.64/9.35 tff(func_def_1120, type, divide_divide: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1121, type, modulo_modulo: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1122, type, zero_neq_one_of_bool: !>[X0: $tType]:(fun($o,X0))).
% 57.64/9.35 tff(func_def_1123, type, suminf: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1124, type, collect: !>[X0: $tType]:(fun(fun(X0,$o),set(X0)))).
% 57.64/9.35 tff(func_def_1125, type, pow2: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_1126, type, image: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(set(X0),set(X1)))).
% 57.64/9.35 tff(func_def_1127, type, insert: !>[X0: $tType]:((X0) > fun(set(X0),set(X0)))).
% 57.64/9.35 tff(func_def_1128, type, remove: !>[X0: $tType]:(fun(X0,fun(set(X0),set(X0))))).
% 57.64/9.35 tff(func_def_1129, type, the_elem: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1130, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:((fun(nat,fun(X0,X0)) * nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1131, type, set_fo1817059534552279752at_rel: !>[X0: $tType]:(fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)))).
% 57.64/9.35 tff(func_def_1132, type, set_ord_atLeast: !>[X0: $tType]:((X0) > set(X0))).
% 57.64/9.35 tff(func_def_1133, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1134, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1135, type, set_ord_atMost: !>[X0: $tType]:((X0) > set(X0))).
% 57.64/9.35 tff(func_def_1136, type, set_ord_greaterThan: !>[X0: $tType]:((X0) > set(X0))).
% 57.64/9.35 tff(func_def_1137, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1138, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1139, type, set_ord_lessThan: !>[X0: $tType]:((X0) > set(X0))).
% 57.64/9.35 tff(func_def_1140, type, ascii_of: char > char).
% 57.64/9.35 tff(func_def_1141, type, char2: ($o * $o * $o * $o * $o * $o * $o * $o) > char).
% 57.64/9.35 tff(func_def_1142, type, comm_s6883823935334413003f_char: !>[X0: $tType]:(fun(char,X0))).
% 57.64/9.35 tff(func_def_1143, type, integer_of_char: char > code_integer).
% 57.64/9.35 tff(func_def_1144, type, unique5772411509450598832har_of: !>[X0: $tType]:(fun(X0,char))).
% 57.64/9.35 tff(func_def_1145, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > X1)).
% 57.64/9.35 tff(func_def_1146, type, topolo174197925503356063within: !>[X0: $tType]:((X0 * set(X0)) > filter(X0))).
% 57.64/9.35 tff(func_def_1147, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0) > filter(X0))).
% 57.64/9.35 tff(func_def_1148, type, arccos: fun(real,real)).
% 57.64/9.35 tff(func_def_1149, type, arcosh: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1150, type, arcsin: fun(real,real)).
% 57.64/9.35 tff(func_def_1151, type, arctan: fun(real,real)).
% 57.64/9.35 tff(func_def_1152, type, arsinh: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1153, type, artanh: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1154, type, cos: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1155, type, cos_coeff: nat > real).
% 57.64/9.35 tff(func_def_1156, type, cosh: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1157, type, cot: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1158, type, diffs: !>[X0: $tType]:((fun(nat,X0)) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_1159, type, exp: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1160, type, ln_ln: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1161, type, log: real > fun(real,real)).
% 57.64/9.35 tff(func_def_1162, type, pi: real).
% 57.64/9.35 tff(func_def_1163, type, powr: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1164, type, sin: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1165, type, sin_coeff: nat > real).
% 57.64/9.35 tff(func_def_1166, type, sinh: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1167, type, tan: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1168, type, tanh: !>[X0: $tType]:(fun(X0,X0))).
% 57.64/9.35 tff(func_def_1169, type, transitive_ntrancl: !>[X0: $tType]:((nat * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1170, type, transitive_rtrancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1171, type, transitive_trancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1172, type, vEBT_T_i_n_s_e_r_t: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1173, type, vEBT_T_i_n_s_e_r_t2: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1174, type, vEBT_T5076183648494686801_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1175, type, vEBT_T9217963907923527482_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1176, type, vEBT_T_m_a_x_t: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_1177, type, vEBT_T_m_a_x_t_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1178, type, vEBT_T_m_e_m_b_e_r: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1179, type, vEBT_T_m_e_m_b_e_r2: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1180, type, vEBT_T8099345112685741742_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1181, type, vEBT_T5837161174952499735_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1182, type, vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_1183, type, vEBT_T5462971552011256508_l_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1184, type, vEBT_T_m_i_n_t: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_1185, type, vEBT_T_m_i_n_t_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1186, type, vEBT_T_p_r_e_d: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1187, type, vEBT_T_p_r_e_d2: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1188, type, vEBT_T_p_r_e_d_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1189, type, vEBT_T_p_r_e_d_rel2: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1190, type, vEBT_T_s_u_c_c: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1191, type, vEBT_T_s_u_c_c2: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1192, type, vEBT_T_s_u_c_c_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1193, type, vEBT_T_s_u_c_c_rel2: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1194, type, vEBT_Leaf: ($o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1195, type, vEBT_Node: (option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1196, type, vEBT_size_VEBT: fun(vEBT_VEBT,nat)).
% 57.64/9.35 tff(func_def_1197, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o)).
% 57.64/9.35 tff(func_def_1198, type, vEBT_VEBT_high: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1199, type, vEBT_VEBT_low: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1200, type, vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1201, type, vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1202, type, vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1203, type, vEBT_set_vebt: vEBT_VEBT > set(nat)).
% 57.64/9.35 tff(func_def_1204, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1205, type, vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o))).
% 57.64/9.35 tff(func_def_1206, type, vEBT_T_d_e_l_e_t_e: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_1207, type, vEBT_T8441311223069195367_e_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1208, type, vEBT_vebt_delete: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1209, type, vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1210, type, vEBT_VEBT_height: fun(vEBT_VEBT,nat)).
% 57.64/9.35 tff(func_def_1211, type, vEBT_VEBT_height_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1212, type, vEBT_vebt_insert: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1213, type, vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1214, type, vEBT_VEBT_bit_concat: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_1215, type, vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1216, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat)).
% 57.64/9.35 tff(func_def_1217, type, vEBT_vebt_member: vEBT_VEBT > fun(nat,$o)).
% 57.64/9.35 tff(func_def_1218, type, vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1219, type, vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat)))).
% 57.64/9.35 tff(func_def_1220, type, vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat)))).
% 57.64/9.35 tff(func_def_1221, type, vEBT_V2048590022279873568_shift: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > fun(option(X0),fun(option(X0),option(X0))))).
% 57.64/9.35 tff(func_def_1222, type, vEBT_V459564278314245337ft_rel: !>[X0: $tType]:(fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o)))).
% 57.64/9.35 tff(func_def_1223, type, vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat)))).
% 57.64/9.35 tff(func_def_1224, type, vEBT_vebt_maxt: vEBT_VEBT > option(nat)).
% 57.64/9.35 tff(func_def_1225, type, vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1226, type, vEBT_vebt_mint: vEBT_VEBT > option(nat)).
% 57.64/9.35 tff(func_def_1227, type, vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 57.64/9.35 tff(func_def_1228, type, vEBT_vebt_pred: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_1229, type, vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1230, type, vEBT_vebt_succ: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_1231, type, vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 57.64/9.35 tff(func_def_1232, type, accp: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(X0,$o))).
% 57.64/9.35 tff(func_def_1233, 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))))).
% 57.64/9.35 tff(func_def_1234, type, max_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 57.64/9.35 tff(func_def_1235, type, max_extp: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(set(X0),fun(set(X0),$o)))).
% 57.64/9.35 tff(func_def_1236, type, measure: !>[X0: $tType]:((fun(X0,nat)) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1237, type, min_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 57.64/9.35 tff(func_def_1238, type, mlex_prod: !>[X0: $tType]:((fun(X0,nat) * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 57.64/9.35 tff(func_def_1239, type, pred_nat: set(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_1240, type, same_fst: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X0,set(product_prod(X1,X1)))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 57.64/9.35 tff(func_def_1241, type, aa: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0) > X1)).
% 57.64/9.35 tff(func_def_1242, type, fChoice: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_1243, type, fequal: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 57.64/9.35 tff(func_def_1244, type, deg: nat).
% 57.64/9.35 tff(func_def_1245, type, m: nat).
% 57.64/9.35 tff(func_def_1246, type, ma: nat).
% 57.64/9.35 tff(func_def_1247, type, mi: nat).
% 57.64/9.35 tff(func_def_1248, type, na: nat).
% 57.64/9.35 tff(func_def_1249, type, summary: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1250, type, treeList: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1251, type, xa: nat).
% 57.64/9.35 tff(func_def_1252, type, l0: nat).
% 57.64/9.35 tff(func_def_1253, type, h1: nat).
% 57.64/9.35 tff(func_def_1254, type, minlow2: option(nat)).
% 57.64/9.35 tff(func_def_1255, type, pr3: option(nat)).
% 57.64/9.35 tff(func_def_1256, type, l4: nat).
% 57.64/9.35 tff(func_def_1257, type, h5: nat).
% 57.64/9.35 tff(func_def_1258, type, minlow6: option(nat)).
% 57.64/9.35 tff(func_def_1259, type, pr7: option(nat)).
% 57.64/9.35 tff(func_def_1260, type, l8: nat).
% 57.64/9.35 tff(func_def_1261, type, h9: nat).
% 57.64/9.35 tff(func_def_1262, type, maxlow10: option(nat)).
% 57.64/9.35 tff(func_def_1263, type, sc11: option(nat)).
% 57.64/9.35 tff(func_def_1264, type, l12: nat).
% 57.64/9.35 tff(func_def_1265, type, h13: nat).
% 57.64/9.35 tff(func_def_1266, type, maxlow14: option(nat)).
% 57.64/9.35 tff(func_def_1267, type, sc15: option(nat)).
% 57.64/9.35 tff(func_def_1268, type, m216: X0).
% 57.64/9.35 tff(func_def_1269, type, m217: X0).
% 57.64/9.35 tff(func_def_1270, type, w18: X0).
% 57.64/9.35 tff(func_def_1271, type, w19: X0).
% 57.64/9.35 tff(func_def_1272, type, l20: nat).
% 57.64/9.35 tff(func_def_1273, type, h21: nat).
% 57.64/9.35 tff(func_def_1274, type, maxlow22: option(nat)).
% 57.64/9.35 tff(func_def_1275, type, sc23: option(nat)).
% 57.64/9.35 tff(func_def_1276, type, l24: nat).
% 57.64/9.35 tff(func_def_1277, type, h25: nat).
% 57.64/9.35 tff(func_def_1278, type, minlow26: option(nat)).
% 57.64/9.35 tff(func_def_1279, type, pr27: option(nat)).
% 57.64/9.35 tff(func_def_1280, type, h28: nat).
% 57.64/9.35 tff(func_def_1281, type, xn29: nat).
% 57.64/9.35 tff(func_def_1282, type, h30: nat).
% 57.64/9.35 tff(func_def_1283, type, newnode31: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1284, type, newlist32: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1285, type, sn33: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1286, type, maxs34: option(nat)).
% 57.64/9.35 tff(func_def_1287, type, maxs35: option(nat)).
% 57.64/9.35 tff(func_def_1288, type, sn36: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1289, type, maxs37: option(nat)).
% 57.64/9.35 tff(func_def_1290, type, newnode38: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1291, type, newlist39: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1292, type, sn40: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1293, type, maxs41: option(nat)).
% 57.64/9.35 tff(func_def_1294, type, xn42: nat).
% 57.64/9.35 tff(func_def_1295, type, minn43: nat).
% 57.64/9.35 tff(func_def_1296, type, h44: nat).
% 57.64/9.35 tff(func_def_1297, type, newnode45: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1298, type, newlist46: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1299, type, sn47: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1300, type, maxs48: option(nat)).
% 57.64/9.35 tff(func_def_1301, type, newnode49: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1302, type, newlist50: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1303, type, sn51: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1304, type, maxs52: option(nat)).
% 57.64/9.35 tff(func_def_1305, type, maxs53: option(nat)).
% 57.64/9.35 tff(func_def_1306, type, sn54: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1307, type, maxs55: option(nat)).
% 57.64/9.35 tff(func_def_1308, type, xn56: nat).
% 57.64/9.35 tff(func_def_1309, type, minn57: nat).
% 57.64/9.35 tff(func_def_1310, type, h58: nat).
% 57.64/9.35 tff(func_def_1311, type, newnode59: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1312, type, newlist60: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1313, type, sn61: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1314, type, maxs62: option(nat)).
% 57.64/9.35 tff(func_def_1315, type, l63: nat).
% 57.64/9.35 tff(func_def_1316, type, h64: nat).
% 57.64/9.35 tff(func_def_1317, type, maxlow65: option(nat)).
% 57.64/9.35 tff(func_def_1318, type, l66: nat).
% 57.64/9.35 tff(func_def_1319, type, h67: nat).
% 57.64/9.35 tff(func_def_1320, type, minlow68: option(nat)).
% 57.64/9.35 tff(func_def_1321, type, h69: nat).
% 57.64/9.35 tff(func_def_1322, type, xn70: nat).
% 57.64/9.35 tff(func_def_1323, type, h71: nat).
% 57.64/9.35 tff(func_def_1324, type, xn72: nat).
% 57.64/9.35 tff(func_def_1325, type, h73: nat).
% 57.64/9.35 tff(func_def_1326, type, newnode74: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1327, type, newlist75: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1328, type, sn76: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1329, type, maxs77: option(nat)).
% 57.64/9.35 tff(func_def_1330, type, l78: nat).
% 57.64/9.35 tff(func_def_1331, type, h79: nat).
% 57.64/9.35 tff(func_def_1332, type, newnode80: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1333, type, newlist81: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1334, type, sn82: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1335, type, maxs83: option(nat)).
% 57.64/9.35 tff(func_def_1336, type, xn84: nat).
% 57.64/9.35 tff(func_def_1337, type, l85: nat).
% 57.64/9.35 tff(func_def_1338, type, h86: nat).
% 57.64/9.35 tff(func_def_1339, type, newnode87: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1340, type, newlist88: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1341, type, sn89: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1342, type, maxs90: option(nat)).
% 57.64/9.35 tff(func_def_1343, type, xn91: nat).
% 57.64/9.35 tff(func_def_1344, type, l92: nat).
% 57.64/9.35 tff(func_def_1345, type, h93: nat).
% 57.64/9.35 tff(func_def_1346, type, newnode94: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1347, type, newlist95: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1348, type, sn96: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1349, type, maxs97: option(nat)).
% 57.64/9.35 tff(func_def_1350, type, xn98: nat).
% 57.64/9.35 tff(func_def_1351, type, l99: nat).
% 57.64/9.35 tff(func_def_1352, type, h100: nat).
% 57.64/9.35 tff(func_def_1353, type, newnode101: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1354, type, newlist102: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1355, type, sn103: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1356, type, maxs104: option(nat)).
% 57.64/9.35 tff(func_def_1357, type, l105: nat).
% 57.64/9.35 tff(func_def_1358, type, h106: nat).
% 57.64/9.35 tff(func_def_1359, type, maxlow107: option(nat)).
% 57.64/9.35 tff(func_def_1360, type, sc108: option(nat)).
% 57.64/9.35 tff(func_def_1361, type, l109: nat).
% 57.64/9.35 tff(func_def_1362, type, h110: nat).
% 57.64/9.35 tff(func_def_1363, type, minlow111: option(nat)).
% 57.64/9.35 tff(func_def_1364, type, pr112: option(nat)).
% 57.64/9.35 tff(func_def_1365, type, xn113: nat).
% 57.64/9.35 tff(func_def_1366, type, h114: nat).
% 57.64/9.35 tff(func_def_1367, type, pos115: nat).
% 57.64/9.35 tff(func_def_1368, type, xn116: nat).
% 57.64/9.35 tff(func_def_1369, type, l117: nat).
% 57.64/9.35 tff(func_def_1370, type, h118: nat).
% 57.64/9.35 tff(func_def_1371, type, newnode119: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1372, type, newlist120: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1373, type, sn121: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1374, type, maxs122: option(nat)).
% 57.64/9.35 tff(func_def_1375, type, pos123: nat).
% 57.64/9.35 tff(func_def_1376, type, pos124: nat).
% 57.64/9.35 tff(func_def_1377, type, pos125: nat).
% 57.64/9.35 tff(func_def_1378, type, pos126: nat).
% 57.64/9.35 tff(func_def_1379, type, xn127: nat).
% 57.64/9.35 tff(func_def_1380, type, h128: nat).
% 57.64/9.35 tff(func_def_1381, type, h129: nat).
% 57.64/9.35 tff(func_def_1382, type, pos130: nat).
% 57.64/9.35 tff(func_def_1383, type, pos131: nat).
% 57.64/9.35 tff(func_def_1384, type, h132: nat).
% 57.64/9.35 tff(func_def_1385, type, h133: nat).
% 57.64/9.35 tff(func_def_1386, type, h134: nat).
% 57.64/9.35 tff(func_def_1387, type, xn135: nat).
% 57.64/9.35 tff(func_def_1388, type, h136: nat).
% 57.64/9.35 tff(func_def_1389, type, l137: nat).
% 57.64/9.35 tff(func_def_1390, type, h138: nat).
% 57.64/9.35 tff(func_def_1391, type, minlow139: option(nat)).
% 57.64/9.35 tff(func_def_1392, type, pr140: option(nat)).
% 57.64/9.35 tff(func_def_1393, type, l141: nat).
% 57.64/9.35 tff(func_def_1394, type, h142: nat).
% 57.64/9.35 tff(func_def_1395, type, maxlow143: option(nat)).
% 57.64/9.35 tff(func_def_1396, type, sc144: option(nat)).
% 57.64/9.35 tff(func_def_1397, type, xn145: nat).
% 57.64/9.35 tff(func_def_1398, type, h146: nat).
% 57.64/9.35 tff(func_def_1399, type, l147: nat).
% 57.64/9.35 tff(func_def_1400, type, h148: nat).
% 57.64/9.35 tff(func_def_1401, type, minlow149: option(nat)).
% 57.64/9.35 tff(func_def_1402, type, l150: nat).
% 57.64/9.35 tff(func_def_1403, type, h151: nat).
% 57.64/9.35 tff(func_def_1404, type, maxlow152: option(nat)).
% 57.64/9.35 tff(func_def_1405, type, xn153: nat).
% 57.64/9.35 tff(func_def_1406, type, minn154: nat).
% 57.64/9.35 tff(func_def_1407, type, h155: nat).
% 57.64/9.35 tff(func_def_1408, type, newnode156: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1409, type, newlist157: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1410, type, sn158: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1411, type, maxs159: option(nat)).
% 57.64/9.35 tff(func_def_1412, type, l160: nat).
% 57.64/9.35 tff(func_def_1413, type, h161: nat).
% 57.64/9.35 tff(func_def_1414, type, minlow162: option(nat)).
% 57.64/9.35 tff(func_def_1415, type, pr163: option(nat)).
% 57.64/9.35 tff(func_def_1416, type, l164: nat).
% 57.64/9.35 tff(func_def_1417, type, h165: nat).
% 57.64/9.35 tff(func_def_1418, type, maxlow166: option(nat)).
% 57.64/9.35 tff(func_def_1419, type, sc167: option(nat)).
% 57.64/9.35 tff(func_def_1420, type, pos168: nat).
% 57.64/9.35 tff(func_def_1421, type, h169: nat).
% 57.64/9.35 tff(func_def_1422, type, h170: nat).
% 57.64/9.35 tff(func_def_1423, type, xn171: nat).
% 57.64/9.35 tff(func_def_1424, type, l172: nat).
% 57.64/9.35 tff(func_def_1425, type, h173: nat).
% 57.64/9.35 tff(func_def_1426, type, newnode174: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1427, type, newlist175: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1428, type, sn176: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1429, type, maxs177: option(nat)).
% 57.64/9.35 tff(func_def_1430, type, pos178: nat).
% 57.64/9.35 tff(func_def_1431, type, pos179: nat).
% 57.64/9.35 tff(func_def_1432, type, pos180: nat).
% 57.64/9.35 tff(func_def_1433, type, pos181: nat).
% 57.64/9.35 tff(func_def_1434, type, l182: nat).
% 57.64/9.35 tff(func_def_1435, type, h183: nat).
% 57.64/9.35 tff(func_def_1436, type, maxlow184: option(nat)).
% 57.64/9.35 tff(func_def_1437, type, sc185: option(nat)).
% 57.64/9.35 tff(func_def_1438, type, l186: nat).
% 57.64/9.35 tff(func_def_1439, type, h187: nat).
% 57.64/9.35 tff(func_def_1440, type, maxlow188: option(nat)).
% 57.64/9.35 tff(func_def_1441, type, sc189: option(nat)).
% 57.64/9.35 tff(func_def_1442, type, l190: nat).
% 57.64/9.35 tff(func_def_1443, type, h191: nat).
% 57.64/9.35 tff(func_def_1444, type, minlow192: option(nat)).
% 57.64/9.35 tff(func_def_1445, type, pr193: option(nat)).
% 57.64/9.35 tff(func_def_1446, type, l194: nat).
% 57.64/9.35 tff(func_def_1447, type, h195: nat).
% 57.64/9.35 tff(func_def_1448, type, minlow196: option(nat)).
% 57.64/9.35 tff(func_def_1449, type, pr197: option(nat)).
% 57.64/9.35 tff(func_def_1450, type, xn198: nat).
% 57.64/9.35 tff(func_def_1451, type, minn199: nat).
% 57.64/9.35 tff(func_def_1452, type, h200: nat).
% 57.64/9.35 tff(func_def_1453, type, newnode201: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1454, type, newlist202: list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_1455, type, sn203: vEBT_VEBT).
% 57.64/9.35 tff(func_def_1456, type, maxs204: option(nat)).
% 57.64/9.35 tff(func_def_1457, type, l205: nat).
% 57.64/9.35 tff(func_def_1458, type, h206: nat).
% 57.64/9.35 tff(func_def_1459, type, maxlow207: option(nat)).
% 57.64/9.35 tff(func_def_1460, type, xn208: nat).
% 57.64/9.35 tff(func_def_1461, type, h209: nat).
% 57.64/9.35 tff(func_def_1462, type, xn210: nat).
% 57.64/9.35 tff(func_def_1463, type, h211: nat).
% 57.64/9.35 tff(func_def_1464, type, l212: nat).
% 57.64/9.35 tff(func_def_1465, type, h213: nat).
% 57.64/9.35 tff(func_def_1466, type, minlow214: option(nat)).
% 57.64/9.35 tff(func_def_1467, type, xn215: nat).
% 57.64/9.35 tff(func_def_1468, type, h216: nat).
% 57.64/9.35 tff(func_def_1469, type, h217: nat).
% 57.64/9.35 tff(func_def_1470, type, h218: nat).
% 57.64/9.35 tff(func_def_1471, type, h219: nat).
% 57.64/9.35 tff(func_def_1472, type, h220: nat).
% 57.64/9.35 tff(func_def_1473, type, pos221: nat).
% 57.64/9.35 tff(func_def_1474, type, h222: nat).
% 57.64/9.35 tff(func_def_1475, type, pos223: nat).
% 57.64/9.35 tff(func_def_1476, type, pos224: nat).
% 57.64/9.35 tff(func_def_1477, type, pos225: nat).
% 57.64/9.35 tff(func_def_1478, type, pos226: nat).
% 57.64/9.35 tff(func_def_1479, type, pos227: nat).
% 57.64/9.35 tff(func_def_1480, type, pos228: nat).
% 57.64/9.35 tff(func_def_1481, type, pos229: nat).
% 57.64/9.35 tff(func_def_1482, type, pos230: nat).
% 57.64/9.35 tff(func_def_1483, type, half231: nat).
% 57.64/9.35 tff(func_def_1484, type, half232: nat).
% 57.64/9.35 tff(func_def_1485, type, half233: nat).
% 57.64/9.35 tff(func_def_1486, type, half234: nat).
% 57.64/9.35 tff(func_def_1487, type, l235: X0).
% 57.64/9.35 tff(func_def_1488, type, half236: nat).
% 57.64/9.35 tff(func_def_1489, type, half237: nat).
% 57.64/9.35 tff(func_def_1490, type, d238: int).
% 57.64/9.35 tff(func_def_1491, type, l239: X0).
% 57.64/9.35 tff(func_def_1492, type, l240: code_integer).
% 57.64/9.35 tff(func_def_1493, type, k241: code_integer).
% 57.64/9.35 tff(func_def_1494, type, k242: code_integer).
% 57.64/9.35 tff(func_def_1495, type, pv243: nat).
% 57.64/9.35 tff(func_def_1496, type, pv244: nat).
% 57.64/9.35 tff(func_def_1497, type, a2245: int).
% 57.64/9.35 tff(func_def_1498, type, a2246: int).
% 57.64/9.35 tff(func_def_1499, type, a3247: set(set(X0))).
% 57.64/9.35 tff(func_def_1500, type, n248: nat).
% 57.64/9.35 tff(func_def_1501, type, m2249: nat).
% 57.64/9.35 tff(func_def_1502, type, n250: nat).
% 57.64/9.35 tff(func_def_1503, type, m2251: nat).
% 57.64/9.35 tff(func_def_1504, type, n252: nat).
% 57.64/9.35 tff(func_def_1505, type, m2253: nat).
% 57.64/9.35 tff(func_def_1506, type, n254: nat).
% 57.64/9.35 tff(func_def_1507, type, m2255: nat).
% 57.64/9.35 tff(func_def_1508, type, n256: nat).
% 57.64/9.35 tff(func_def_1509, type, m2257: nat).
% 57.64/9.35 tff(func_def_1510, type, n258: nat).
% 57.64/9.35 tff(func_def_1511, type, m2259: nat).
% 57.64/9.35 tff(func_def_1512, type, n260: nat).
% 57.64/9.35 tff(func_def_1513, type, m2261: nat).
% 57.64/9.35 tff(func_def_1514, type, l2262: int).
% 57.64/9.35 tff(func_def_1515, type, m3263: a).
% 57.64/9.35 tff(func_def_1516, type, l2264: num).
% 57.64/9.35 tff(func_def_1517, type, l3265: num).
% 57.64/9.35 tff(func_def_1518, type, l2266: nat).
% 57.64/9.35 tff(func_def_1519, type, l3267: nat).
% 57.64/9.35 tff(func_def_1522, type, iG268: nat).
% 57.64/9.35 tff(func_def_1523, type, iG269: nat).
% 57.64/9.35 tff(func_def_1524, type, iG270: nat).
% 57.64/9.35 tff(func_def_1525, type, iG271: nat).
% 57.64/9.35 tff(func_def_1526, type, iG272: nat).
% 57.64/9.35 tff(func_def_1527, type, iG273: nat).
% 57.64/9.35 tff(func_def_1528, type, iG274: nat).
% 57.64/9.35 tff(func_def_1529, type, iG275: nat).
% 57.64/9.35 tff(func_def_1530, type, iG276: nat).
% 57.64/9.35 tff(func_def_1531, type, iG277: nat).
% 57.64/9.35 tff(func_def_1532, type, iG278: nat).
% 57.64/9.35 tff(func_def_1533, type, iG279: nat).
% 57.64/9.35 tff(func_def_1534, type, iG280: nat).
% 57.64/9.35 tff(func_def_1535, type, iG281: nat).
% 57.64/9.35 tff(func_def_1536, type, iG282: nat).
% 57.64/9.35 tff(func_def_1537, type, iG283: nat).
% 57.64/9.35 tff(func_def_1538, type, iG284: nat).
% 57.64/9.35 tff(func_def_1539, type, iG285: nat).
% 57.64/9.35 tff(func_def_1540, type, iG286: nat).
% 57.64/9.35 tff(func_def_1541, type, iG287: nat).
% 57.64/9.35 tff(func_def_1542, type, iG288: nat).
% 57.64/9.35 tff(func_def_1543, type, iG289: nat).
% 57.64/9.35 tff(func_def_1544, type, iG290: nat).
% 57.64/9.35 tff(func_def_1545, type, iG291: nat).
% 57.64/9.35 tff(func_def_1546, type, iG292: nat).
% 57.64/9.35 tff(func_def_1547, type, iG293: code_integer > product_prod(code_integer,$o)).
% 57.64/9.35 tff(func_def_1548, type, iG294: code_integer > num).
% 57.64/9.35 tff(func_def_1549, type, bG295: code_integer > $o).
% 57.64/9.35 tff(func_def_1550, type, iG296: code_integer > nat).
% 57.64/9.35 tff(func_def_1551, type, iG297: nat > real).
% 57.64/9.35 tff(func_def_1552, type, lG298: product_prod(int,int) > int).
% 57.64/9.35 tff(func_def_1553, type, lG299: product_prod(int,int) > int).
% 57.64/9.35 tff(func_def_1554, type, iG300: product_prod(int,int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1555, type, iG301: product_prod(int,int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1556, type, iG302: nat > real).
% 57.64/9.35 tff(func_def_1557, type, iG303: complex > real).
% 57.64/9.35 tff(func_def_1558, type, lG304: int > code_integer).
% 57.64/9.35 tff(func_def_1559, type, iG305: int > code_integer).
% 57.64/9.35 tff(func_def_1560, type, iG306: int > code_integer).
% 57.64/9.35 tff(func_def_1561, type, iG307: int > code_integer).
% 57.64/9.35 tff(func_def_1562, type, iG308: complex > real).
% 57.64/9.35 tff(func_def_1563, type, iG309: code_integer > int).
% 57.64/9.35 tff(func_def_1564, type, iG310: code_integer > int).
% 57.64/9.35 tff(func_def_1565, type, iG311: complex > real).
% 57.64/9.35 tff(func_def_1566, type, iG312: nat > num).
% 57.64/9.35 tff(func_def_1567, type, iG313: code_integer > code_integer).
% 57.64/9.35 tff(func_def_1568, type, iG314: code_integer > code_integer).
% 57.64/9.35 tff(func_def_1569, type, iG315: rat > rat).
% 57.64/9.35 tff(func_def_1570, type, iG316: rat > rat).
% 57.64/9.35 tff(func_def_1571, type, iG317: int > int).
% 57.64/9.35 tff(func_def_1572, type, iG318: int > int).
% 57.64/9.35 tff(func_def_1573, type, bG319: int > $o).
% 57.64/9.35 tff(func_def_1574, type, iG320: real > real).
% 57.64/9.35 tff(func_def_1575, type, iG321: real > real).
% 57.64/9.35 tff(func_def_1576, type, iG322: real > real).
% 57.64/9.35 tff(func_def_1577, type, bG323: nat > $o).
% 57.64/9.35 tff(func_def_1578, type, lG324: num > code_integer).
% 57.64/9.35 tff(func_def_1579, type, lG325: num > code_integer).
% 57.64/9.35 tff(func_def_1580, type, lG326: nat > nat).
% 57.64/9.35 tff(func_def_1581, type, lG327: nat > nat).
% 57.64/9.35 tff(func_def_1582, type, iG328: nat > vEBT_VEBT).
% 57.64/9.35 tff(func_def_1583, type, iG329: int > int).
% 57.64/9.35 tff(func_def_1584, type, bG330: nat > $o).
% 57.64/9.35 tff(func_def_1585, type, iG331: product_prod(int,int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1586, type, bG332: nat > $o).
% 57.64/9.35 tff(func_def_1587, type, bG333: nat > $o).
% 57.64/9.35 tff(func_def_1588, type, bG334: nat > $o).
% 57.64/9.35 tff(func_def_1589, type, bG335: nat > $o).
% 57.64/9.35 tff(func_def_1590, type, bG336: nat > $o).
% 57.64/9.35 tff(func_def_1591, type, bG337: nat > $o).
% 57.64/9.35 tff(func_def_1592, type, iG338: int > real).
% 57.64/9.35 tff(func_def_1593, type, iG339: real > set(real)).
% 57.64/9.35 tff(func_def_1594, type, bG340: $o > $o).
% 57.64/9.35 tff(func_def_1595, type, bG341: $o > $o).
% 57.64/9.35 tff(func_def_1596, type, bG342: $o > $o).
% 57.64/9.35 tff(func_def_1597, type, bG343: $o > $o).
% 57.64/9.35 tff(func_def_1598, type, bG344: $o > $o).
% 57.64/9.35 tff(func_def_1599, type, bG345: $o > $o).
% 57.64/9.35 tff(func_def_1600, type, bG346: $o > $o).
% 57.64/9.35 tff(func_def_1601, type, bG347: $o > $o).
% 57.64/9.35 tff(func_def_1602, type, iG348: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1603, type, iG349: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1604, type, iG350: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1605, type, lG351: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1606, type, iG352: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1607, type, iG353: !>[X0: $tType]:((nat * nat) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_1608, type, iG354: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_1609, type, iG355: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_1610, type, iG356: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1611, type, iG357: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1612, type, iG358: !>[X0: $tType]:((X0 * X0) > int)).
% 57.64/9.35 tff(func_def_1613, type, iG359: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1614, type, iG360: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1615, type, iG361: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1616, type, iG362: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1617, type, iG363: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1618, type, iG364: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1619, type, iG365: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1620, type, iG366: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1621, type, iG367: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1622, type, iG368: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1623, type, iG369: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1624, type, iG370: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1625, type, iG371: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1626, type, iG372: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1627, type, iG373: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1628, type, iG374: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1629, type, iG375: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1630, type, iG376: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1631, type, iG377: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1632, type, iG378: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1633, type, iG379: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1634, type, iG380: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1635, type, iG381: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1636, type, iG382: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1637, type, iG383: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1638, type, iG384: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1639, type, iG385: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1640, type, iG386: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1641, type, iG387: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1642, type, iG388: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1643, type, iG389: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1644, type, iG390: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1645, type, iG391: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1646, type, iG392: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1647, type, iG393: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1648, type, iG394: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.35 tff(func_def_1649, type, iG395: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1650, type, iG396: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1651, type, iG397: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1652, type, iG398: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1653, type, iG399: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1654, type, iG400: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1655, type, iG401: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1656, type, iG402: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1657, type, iG403: !>[X0: $tType]:((X0) > real)).
% 57.64/9.35 tff(func_def_1658, type, bG404: nat > $o).
% 57.64/9.35 tff(func_def_1659, type, bG405: $o > $o).
% 57.64/9.35 tff(func_def_1660, type, iG406: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1661, type, bG407: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1662, type, bG408: $o > $o).
% 57.64/9.35 tff(func_def_1663, type, bG409: nat > $o).
% 57.64/9.35 tff(func_def_1664, type, bG410: !>[X0: $tType]:((nat * nat) > $o)).
% 57.64/9.35 tff(func_def_1665, type, bG411: $o > $o).
% 57.64/9.35 tff(func_def_1666, type, bG412: $o > $o).
% 57.64/9.35 tff(func_def_1667, type, bG413: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1668, type, iG414: !>[X0: $tType]:((nat * X0) > $o)).
% 57.64/9.35 tff(func_def_1669, type, bG415: $o > $o).
% 57.64/9.35 tff(func_def_1670, type, iG416: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1671, type, iG417: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1672, type, iG418: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_1673, type, iG419: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_1674, type, iG420: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_1675, type, iG421: !>[X0: $tType]:((X0 * num * X0) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_1676, type, iG422: !>[X0: $tType]:((X0 * num * X0) > product_prod(X0,X0))).
% 57.64/9.35 tff(func_def_1677, type, bG423: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1678, type, iG424: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1679, type, iG425: !>[X0: $tType]:((set(nat) * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1680, type, iG426: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1681, type, iG427: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1682, type, iG428: !>[X0: $tType]:((int) > X0)).
% 57.64/9.35 tff(func_def_1683, type, iG429: !>[X0: $tType]:((int * X0) > X0)).
% 57.64/9.35 tff(func_def_1684, type, iG430: !>[X0: $tType]:((set(nat) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1685, type, iG431: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1686, type, iG432: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1687, type, iG433: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1688, type, iG434: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1689, type, iG435: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1690, type, iG436: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1691, type, bG449: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1692, type, bG450: nat > $o).
% 57.64/9.35 tff(func_def_1693, type, bG451: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1694, type, bG452: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1695, type, bG453: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1696, type, bG454: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1697, type, bG455: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1698, type, bG456: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1699, type, iG457: !>[X0: $tType]:((nat * X0) > fun(nat,fun(X0,X0)))).
% 57.64/9.35 tff(func_def_1700, type, iG458: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1701, type, iG459: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1702, type, bG460: $o > $o).
% 57.64/9.35 tff(func_def_1703, type, bG461: ($o * nat) > $o).
% 57.64/9.35 tff(func_def_1704, type, iG462: !>[X0: $tType]:((X0 * nat) > X0)).
% 57.64/9.35 tff(func_def_1705, type, iG463: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1706, type, iG464: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1707, type, iG465: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1708, type, bG466: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1709, type, iG467: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 57.64/9.35 tff(func_def_1710, type, iG468: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1711, type, iG469: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1712, type, iG470: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1713, type, iG471: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1714, type, iG472: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_1715, type, bG473: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1716, type, bG474: $o > $o).
% 57.64/9.35 tff(func_def_1717, type, bG475: $o > $o).
% 57.64/9.35 tff(func_def_1718, type, bG476: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1719, type, bG477: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.35 tff(func_def_1720, type, iG478: !>[X0: $tType]:((nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1721, type, iG479: !>[X0: $tType]:((nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1722, type, iG480: !>[X0: $tType]:((nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1723, type, iG481: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1724, type, iG482: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1725, type, bG483: $o > $o).
% 57.64/9.35 tff(func_def_1726, type, bG484: $o > $o).
% 57.64/9.35 tff(func_def_1727, type, bG485: $o > $o).
% 57.64/9.35 tff(func_def_1728, type, bG486: $o > $o).
% 57.64/9.35 tff(func_def_1729, type, bG487: ($o * $o) > $o).
% 57.64/9.35 tff(func_def_1730, type, bG488: $o > $o).
% 57.64/9.35 tff(func_def_1731, type, bG489: $o > $o).
% 57.64/9.35 tff(func_def_1732, type, lG490: !>[X0: $tType]:((int) > X0)).
% 57.64/9.35 tff(func_def_1733, type, iG491: !>[X0: $tType]:((int) > X0)).
% 57.64/9.35 tff(func_def_1734, type, iG492: !>[X0: $tType]:((int) > X0)).
% 57.64/9.35 tff(func_def_1735, type, iG493: !>[X0: $tType]:((int) > X0)).
% 57.64/9.35 tff(func_def_1736, type, iG494: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1737, type, bG495: $o > $o).
% 57.64/9.35 tff(func_def_1738, type, bG496: $o > $o).
% 57.64/9.35 tff(func_def_1739, type, iG497: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1740, type, bG498: $o > $o).
% 57.64/9.35 tff(func_def_1741, type, bG499: $o > $o).
% 57.64/9.35 tff(func_def_1742, type, bG500: $o > $o).
% 57.64/9.35 tff(func_def_1743, type, bG501: $o > $o).
% 57.64/9.35 tff(func_def_1744, type, bG502: $o > $o).
% 57.64/9.35 tff(func_def_1745, type, iG503: !>[X0: $tType]:(($o) > X0)).
% 57.64/9.35 tff(func_def_1746, type, bG504: $o > $o).
% 57.64/9.35 tff(func_def_1747, type, bG505: $o > $o).
% 57.64/9.35 tff(func_def_1748, type, bG506: $o > $o).
% 57.64/9.35 tff(func_def_1749, type, bG507: $o > $o).
% 57.64/9.35 tff(func_def_1750, type, bG508: $o > $o).
% 57.64/9.35 tff(func_def_1751, type, bG509: $o > $o).
% 57.64/9.35 tff(func_def_1752, type, iG510: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1753, type, lG511: !>[X0: $tType]:((num) > X0)).
% 57.64/9.35 tff(func_def_1754, type, lG512: !>[X0: $tType]:((num) > X0)).
% 57.64/9.35 tff(func_def_1755, type, iG513: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1756, type, iG514: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1757, type, iG515: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1758, type, bG516: $o > $o).
% 57.64/9.35 tff(func_def_1759, type, bG517: $o > $o).
% 57.64/9.35 tff(func_def_1760, type, bG518: $o > $o).
% 57.64/9.35 tff(func_def_1761, type, bG519: $o > $o).
% 57.64/9.35 tff(func_def_1762, type, bG520: $o > $o).
% 57.64/9.35 tff(func_def_1763, type, bG521: $o > $o).
% 57.64/9.35 tff(func_def_1764, type, bG522: $o > $o).
% 57.64/9.35 tff(func_def_1765, type, bG523: $o > $o).
% 57.64/9.35 tff(func_def_1766, type, bG524: $o > $o).
% 57.64/9.35 tff(func_def_1767, type, bG525: $o > $o).
% 57.64/9.35 tff(func_def_1768, type, bG526: $o > $o).
% 57.64/9.35 tff(func_def_1769, type, bG527: $o > $o).
% 57.64/9.35 tff(func_def_1770, type, bG528: $o > $o).
% 57.64/9.35 tff(func_def_1771, type, bG529: $o > $o).
% 57.64/9.35 tff(func_def_1772, type, bG530: $o > $o).
% 57.64/9.35 tff(func_def_1773, type, bG531: $o > $o).
% 57.64/9.35 tff(func_def_1774, type, lG532: !>[X0: $tType]:((X0 * num) > X0)).
% 57.64/9.35 tff(func_def_1775, type, lG533: !>[X0: $tType]:((X0 * num) > X0)).
% 57.64/9.35 tff(func_def_1776, type, iG534: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1777, type, iG535: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1778, type, iG536: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1779, type, iG537: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1780, type, iG538: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1781, type, iG539: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1782, type, iG540: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1783, type, iG541: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1784, type, iG542: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1785, type, iG543: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1786, type, iG544: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1787, type, iG545: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1788, type, iG546: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1789, type, iG547: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1790, type, iG548: !>[X0: $tType]:((nat) > X0)).
% 57.64/9.35 tff(func_def_1791, type, bG549: $o > $o).
% 57.64/9.35 tff(func_def_1792, type, bG550: $o > $o).
% 57.64/9.35 tff(func_def_1793, type, bG551: ($o * $o) > $o).
% 57.64/9.35 tff(func_def_1794, type, bG552: $o > $o).
% 57.64/9.35 tff(func_def_1795, type, bG553: $o > $o).
% 57.64/9.35 tff(func_def_1796, type, iG554: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1797, type, iG555: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1798, type, iG556: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_1799, type, iG557: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1800, type, iG558: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1801, type, iG559: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1802, type, iG560: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_1803, type, iG561: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1804, type, iG562: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1805, type, iG563: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 57.64/9.35 tff(func_def_1806, type, iG564: product_prod(int,int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1807, type, bG565: $o > $o).
% 57.64/9.35 tff(func_def_1808, type, bG566: $o > $o).
% 57.64/9.35 tff(func_def_1809, type, bG567: $o > $o).
% 57.64/9.35 tff(func_def_1810, type, bG568: $o > $o).
% 57.64/9.35 tff(func_def_1811, type, iG569: !>[X0: $tType]:((set(nat) * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_1812, type, iG570: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1813, type, iG571: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1814, type, iG572: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1815, type, iG573: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1816, type, iG574: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_1817, type, iG575: !>[X0: $tType]:((int * X0) > X0)).
% 57.64/9.35 tff(func_def_1818, type, iG576: !>[X0: $tType]:((X0 * nat) > X0)).
% 57.64/9.35 tff(func_def_1819, type, iG577: !>[X0: $tType]:((X0 * nat) > X0)).
% 57.64/9.35 tff(func_def_1820, type, iG578: !>[X0: $tType]:((X0 * nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1821, type, iG579: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_1822, type, iG580: !>[X0: $tType]:((X0 * nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1823, type, iG581: !>[X0: $tType]:((nat * nat) > X0)).
% 57.64/9.35 tff(func_def_1824, type, iG582: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1825, type, iG583: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1826, type, iG584: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1827, type, iG585: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1828, type, iG586: !>[X0: $tType]:((num * num) > X0)).
% 57.64/9.35 tff(func_def_1829, type, bG587: $o > $o).
% 57.64/9.35 tff(func_def_1830, type, bG588: $o > $o).
% 57.64/9.35 tff(func_def_1831, type, bG589: $o > $o).
% 57.64/9.35 tff(func_def_1832, type, bG590: $o > $o).
% 57.64/9.35 tff(func_def_1833, type, bG591: $o > $o).
% 57.64/9.35 tff(func_def_1834, type, bG592: $o > $o).
% 57.64/9.35 tff(func_def_1835, type, bG593: $o > $o).
% 57.64/9.35 tff(func_def_1836, type, bG594: $o > $o).
% 57.64/9.35 tff(func_def_1837, type, bG595: $o > $o).
% 57.64/9.35 tff(func_def_1838, type, bG596: $o > $o).
% 57.64/9.35 tff(func_def_1839, type, bG597: $o > $o).
% 57.64/9.35 tff(func_def_1840, type, bG598: $o > $o).
% 57.64/9.35 tff(func_def_1841, type, bG599: $o > $o).
% 57.64/9.35 tff(func_def_1842, type, bG600: $o > $o).
% 57.64/9.35 tff(func_def_1843, type, bG601: $o > $o).
% 57.64/9.35 tff(func_def_1844, type, bG602: $o > $o).
% 57.64/9.35 tff(func_def_1845, type, bG603: $o > $o).
% 57.64/9.35 tff(func_def_1846, type, bG604: $o > $o).
% 57.64/9.35 tff(func_def_1847, type, bG605: $o > $o).
% 57.64/9.35 tff(func_def_1848, type, bG606: $o > $o).
% 57.64/9.35 tff(func_def_1849, type, bG607: $o > $o).
% 57.64/9.35 tff(func_def_1850, type, bG608: $o > $o).
% 57.64/9.35 tff(func_def_1851, type, bG609: $o > $o).
% 57.64/9.35 tff(func_def_1852, type, bG610: $o > $o).
% 57.64/9.35 tff(func_def_1853, type, bG611: $o > $o).
% 57.64/9.35 tff(func_def_1854, type, bG612: $o > $o).
% 57.64/9.35 tff(func_def_1855, type, bG613: $o > $o).
% 57.64/9.35 tff(func_def_1856, type, bG614: $o > $o).
% 57.64/9.35 tff(func_def_1857, type, bG615: $o > $o).
% 57.64/9.35 tff(func_def_1858, type, bG616: $o > $o).
% 57.64/9.35 tff(func_def_1859, type, bG617: $o > $o).
% 57.64/9.35 tff(func_def_1860, type, bG618: $o > $o).
% 57.64/9.35 tff(func_def_1861, type, bG619: $o > $o).
% 57.64/9.35 tff(func_def_1862, type, bG620: $o > $o).
% 57.64/9.35 tff(func_def_1863, type, bG621: $o > $o).
% 57.64/9.35 tff(func_def_1864, type, bG622: $o > $o).
% 57.64/9.35 tff(func_def_1865, type, iG623: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1866, type, iG624: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1867, type, iG625: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1868, type, iG626: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1869, type, iG627: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1870, type, iG628: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1871, type, iG629: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1872, type, iG630: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_1873, type, iG631: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_1874, type, iG632: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_1875, type, iG633: (int * int) > int).
% 57.64/9.35 tff(func_def_1876, type, iG634: (nat * nat) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1877, type, iG635: (num * nat) > option(num)).
% 57.64/9.35 tff(func_def_1878, type, iG636: (int * int) > list(int)).
% 57.64/9.35 tff(func_def_1879, type, iG637: (int * int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1880, type, iG638: (nat * nat) > list(nat)).
% 57.64/9.35 tff(func_def_1881, type, iG639: (code_integer * code_integer) > code_integer).
% 57.64/9.35 tff(func_def_1882, type, iG640: (int * int) > int).
% 57.64/9.35 tff(func_def_1883, type, iG641: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1884, type, iG642: (int * int) > set(int)).
% 57.64/9.35 tff(func_def_1885, type, bG643: (int * int) > $o).
% 57.64/9.35 tff(func_def_1886, type, iG644: (int * int) > int).
% 57.64/9.35 tff(func_def_1887, type, iG645: (int * int) > int).
% 57.64/9.35 tff(func_def_1888, type, iG646: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1889, type, bG647: (int * int) > $o).
% 57.64/9.35 tff(func_def_1890, type, iG648: (int * int) > int).
% 57.64/9.35 tff(func_def_1891, type, iG649: (int * int) > int).
% 57.64/9.35 tff(func_def_1892, type, iG650: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1893, type, iG651: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1894, type, iG652: (nat * real) > real).
% 57.64/9.35 tff(func_def_1895, type, iG653: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1896, type, iG654: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1897, type, iG655: (nat * nat) > list(nat)).
% 57.64/9.35 tff(func_def_1898, type, iG656: (nat * nat) > set(nat)).
% 57.64/9.35 tff(func_def_1899, type, iG657: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1900, type, iG658: (num * nat) > set(nat)).
% 57.64/9.35 tff(func_def_1901, type, iG659: (int * int) > int).
% 57.64/9.35 tff(func_def_1902, type, iG660: (int * int) > int).
% 57.64/9.35 tff(func_def_1903, type, iG661: (int * int) > int).
% 57.64/9.35 tff(func_def_1904, type, iG662: (int * int) > int).
% 57.64/9.35 tff(func_def_1905, type, iG663: (int * int) > int).
% 57.64/9.35 tff(func_def_1906, type, iG664: (int * int) > int).
% 57.64/9.35 tff(func_def_1907, type, bG665: (int * int) > $o).
% 57.64/9.35 tff(func_def_1908, type, iG666: (int * int) > int).
% 57.64/9.35 tff(func_def_1909, type, iG667: (int * int) > int).
% 57.64/9.35 tff(func_def_1910, type, iG668: (int * int) > int).
% 57.64/9.35 tff(func_def_1911, type, bG669: (int * int) > $o).
% 57.64/9.35 tff(func_def_1912, type, bG670: (int * int) > $o).
% 57.64/9.35 tff(func_def_1913, type, bG671: (int * int) > $o).
% 57.64/9.35 tff(func_def_1914, type, iG672: (int * int) > int).
% 57.64/9.35 tff(func_def_1915, type, iG673: (int * int) > int).
% 57.64/9.35 tff(func_def_1916, type, iG674: (int * int) > int).
% 57.64/9.35 tff(func_def_1917, type, iG675: (int * int) > int).
% 57.64/9.35 tff(func_def_1918, type, bG676: (int * int) > $o).
% 57.64/9.35 tff(func_def_1919, type, bG677: (nat * int) > $o).
% 57.64/9.35 tff(func_def_1920, type, iG678: (nat * fun(nat,real)) > real).
% 57.64/9.35 tff(func_def_1921, type, iG679: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1922, type, iG680: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1923, type, bG681: (nat * nat) > $o).
% 57.64/9.35 tff(func_def_1924, type, iG682: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1925, type, iG683: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1926, type, bG684: (nat * nat) > $o).
% 57.64/9.35 tff(func_def_1927, type, iG685: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1928, type, bG686: (nat * nat) > $o).
% 57.64/9.35 tff(func_def_1929, type, iG687: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1930, type, iG688: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1931, type, iG689: (num * num) > list(int)).
% 57.64/9.35 tff(func_def_1932, type, iG690: (num * num) > list(nat)).
% 57.64/9.35 tff(func_def_1933, type, lG691: code_integer > num).
% 57.64/9.35 tff(func_def_1934, type, lG692: code_integer > num).
% 57.64/9.35 tff(func_def_1935, type, iG693: (code_integer * code_integer) > num).
% 57.64/9.35 tff(func_def_1936, type, lG694: code_integer > int).
% 57.64/9.35 tff(func_def_1937, type, iG695: (code_integer * code_integer) > int).
% 57.64/9.35 tff(func_def_1938, type, lG696: code_integer > nat).
% 57.64/9.35 tff(func_def_1939, type, lG697: code_integer > nat).
% 57.64/9.35 tff(func_def_1940, type, iG698: (code_integer * code_integer) > nat).
% 57.64/9.35 tff(func_def_1941, type, bG699: int > $o).
% 57.64/9.35 tff(func_def_1942, type, lG700: nat > a).
% 57.64/9.35 tff(func_def_1943, type, iG701: (nat * nat) > a).
% 57.64/9.35 tff(func_def_1944, type, iG702: (nat * nat) > int).
% 57.64/9.35 tff(func_def_1945, type, bG703: int > $o).
% 57.64/9.35 tff(func_def_1946, type, iG704: (num * num) > list(int)).
% 57.64/9.35 tff(func_def_1947, type, iG705: (num * num) > list(int)).
% 57.64/9.35 tff(func_def_1948, type, lG706: (int * int) > int).
% 57.64/9.35 tff(func_def_1949, type, iG707: (int * int) > nat).
% 57.64/9.35 tff(func_def_1950, type, iG708: (int * int) > nat).
% 57.64/9.35 tff(func_def_1951, type, iG709: (int * int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_1952, type, iG710: (num * num) > list(int)).
% 57.64/9.35 tff(func_def_1953, type, iG711: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_1954, type, bG712: $o > $o).
% 57.64/9.35 tff(func_def_1955, type, bG713: $o > $o).
% 57.64/9.35 tff(func_def_1956, type, iG714: $o > nat).
% 57.64/9.35 tff(func_def_1957, type, bG715: $o > $o).
% 57.64/9.35 tff(func_def_1958, type, bG716: $o > $o).
% 57.64/9.35 tff(func_def_1959, type, iG717: $o > nat).
% 57.64/9.35 tff(func_def_1960, type, bG718: $o > $o).
% 57.64/9.35 tff(func_def_1961, type, bG719: $o > $o).
% 57.64/9.35 tff(func_def_1962, type, iG720: $o > option(nat)).
% 57.64/9.35 tff(func_def_1963, type, iG721: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_1964, type, bG722: $o > $o).
% 57.64/9.35 tff(func_def_1965, type, bG723: $o > $o).
% 57.64/9.35 tff(func_def_1966, type, iG724: $o > option(nat)).
% 57.64/9.35 tff(func_def_1967, type, iG725: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_1968, type, bG726: $o > $o).
% 57.64/9.35 tff(func_def_1969, type, bG727: $o > $o).
% 57.64/9.35 tff(func_def_1970, type, bG728: $o > $o).
% 57.64/9.35 tff(func_def_1971, type, bG729: $o > $o).
% 57.64/9.35 tff(func_def_1972, type, bG730: $o > $o).
% 57.64/9.35 tff(func_def_1973, type, bG731: $o > $o).
% 57.64/9.35 tff(func_def_1974, type, bG732: $o > $o).
% 57.64/9.35 tff(func_def_1975, type, bG733: $o > $o).
% 57.64/9.35 tff(func_def_1976, type, bG734: $o > $o).
% 57.64/9.35 tff(func_def_1977, type, bG735: $o > $o).
% 57.64/9.35 tff(func_def_1978, type, bG736: $o > $o).
% 57.64/9.35 tff(func_def_1979, type, bG737: $o > $o).
% 57.64/9.35 tff(func_def_1980, type, bG738: $o > $o).
% 57.64/9.35 tff(func_def_1981, type, bG739: $o > $o).
% 57.64/9.35 tff(func_def_1982, type, iG740: $o > option(nat)).
% 57.64/9.35 tff(func_def_1983, type, bG741: $o > $o).
% 57.64/9.35 tff(func_def_1984, type, bG742: $o > $o).
% 57.64/9.35 tff(func_def_1985, type, bG743: $o > $o).
% 57.64/9.35 tff(func_def_1986, type, bG744: $o > $o).
% 57.64/9.35 tff(func_def_1987, type, bG745: $o > $o).
% 57.64/9.35 tff(func_def_1988, type, bG746: $o > $o).
% 57.64/9.35 tff(func_def_1989, type, iG747: $o > option(nat)).
% 57.64/9.35 tff(func_def_1990, type, bG748: $o > $o).
% 57.64/9.35 tff(func_def_1991, type, bG749: $o > $o).
% 57.64/9.35 tff(func_def_1992, type, bG750: $o > $o).
% 57.64/9.35 tff(func_def_1993, type, bG751: $o > $o).
% 57.64/9.35 tff(func_def_1994, type, bG752: $o > $o).
% 57.64/9.35 tff(func_def_1995, type, bG753: $o > $o).
% 57.64/9.35 tff(func_def_1996, type, bG754: $o > $o).
% 57.64/9.35 tff(func_def_1997, type, bG755: $o > $o).
% 57.64/9.35 tff(func_def_1998, type, bG756: $o > $o).
% 57.64/9.35 tff(func_def_1999, type, bG757: $o > $o).
% 57.64/9.35 tff(func_def_2000, type, bG758: $o > $o).
% 57.64/9.35 tff(func_def_2001, type, bG759: $o > $o).
% 57.64/9.35 tff(func_def_2002, type, bG760: $o > $o).
% 57.64/9.35 tff(func_def_2003, type, bG761: $o > $o).
% 57.64/9.35 tff(func_def_2004, type, bG762: $o > $o).
% 57.64/9.35 tff(func_def_2005, type, bG763: $o > $o).
% 57.64/9.35 tff(func_def_2006, type, iG764: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2007, type, iG765: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2008, type, iG766: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2009, type, iG767: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2010, type, iG768: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2011, type, iG769: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2012, type, iG770: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2013, type, iG771: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2014, type, iG772: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2015, type, iG773: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2016, type, iG774: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2017, type, iG775: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2018, type, iG776: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2019, type, iG777: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2020, type, iG778: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2021, type, iG779: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2022, type, iG780: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2023, type, iG781: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2024, type, iG782: !>[X0: $tType, X1: $tType]:((X1 * X1 * X0 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2025, type, iG783: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2026, type, iG784: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2027, type, iG785: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * X0 * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2028, type, iG786: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2029, type, iG787: !>[X0: $tType, X1: $tType]:((X0 * fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_2030, type, bG788: $o > $o).
% 57.64/9.35 tff(func_def_2031, type, bG789: $o > $o).
% 57.64/9.35 tff(func_def_2032, type, lG790: nat > nat).
% 57.64/9.35 tff(func_def_2033, type, lG791: nat > nat).
% 57.64/9.35 tff(func_def_2034, type, bG792: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2035, type, bG793: $o > $o).
% 57.64/9.35 tff(func_def_2036, type, bG794: $o > $o).
% 57.64/9.35 tff(func_def_2037, type, bG795: $o > $o).
% 57.64/9.35 tff(func_def_2038, type, bG796: $o > $o).
% 57.64/9.35 tff(func_def_2039, type, lG797: nat > nat).
% 57.64/9.35 tff(func_def_2040, type, lG798: nat > nat).
% 57.64/9.35 tff(func_def_2041, type, bG799: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2042, type, bG800: $o > $o).
% 57.64/9.35 tff(func_def_2043, type, bG801: $o > $o).
% 57.64/9.35 tff(func_def_2044, type, lG804: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2045, type, bG806: $o > $o).
% 57.64/9.35 tff(func_def_2046, type, bG807: $o > $o).
% 57.64/9.35 tff(func_def_2047, type, bG808: $o > $o).
% 57.64/9.35 tff(func_def_2048, type, bG809: $o > $o).
% 57.64/9.35 tff(func_def_2049, type, lG812: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2050, type, bG814: $o > $o).
% 57.64/9.35 tff(func_def_2051, type, bG815: $o > $o).
% 57.64/9.35 tff(func_def_2052, type, lG816: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2053, type, lG818: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2054, type, bG820: $o > $o).
% 57.64/9.35 tff(func_def_2055, type, bG821: $o > $o).
% 57.64/9.35 tff(func_def_2056, type, bG822: $o > $o).
% 57.64/9.35 tff(func_def_2057, type, bG823: $o > $o).
% 57.64/9.35 tff(func_def_2058, type, lG824: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2059, type, lG826: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2060, type, bG828: $o > $o).
% 57.64/9.35 tff(func_def_2061, type, bG829: $o > $o).
% 57.64/9.35 tff(func_def_2062, type, lG830: nat > nat).
% 57.64/9.35 tff(func_def_2063, type, lG831: nat > nat).
% 57.64/9.35 tff(func_def_2064, type, bG832: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2065, type, bG833: $o > $o).
% 57.64/9.35 tff(func_def_2066, type, bG834: $o > $o).
% 57.64/9.35 tff(func_def_2067, type, bG835: $o > $o).
% 57.64/9.35 tff(func_def_2068, type, bG836: $o > $o).
% 57.64/9.35 tff(func_def_2069, type, lG837: nat > nat).
% 57.64/9.35 tff(func_def_2070, type, lG838: nat > nat).
% 57.64/9.35 tff(func_def_2071, type, bG839: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2072, type, bG840: $o > $o).
% 57.64/9.35 tff(func_def_2073, type, bG841: $o > $o).
% 57.64/9.35 tff(func_def_2074, type, lG844: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2075, type, bG846: $o > $o).
% 57.64/9.35 tff(func_def_2076, type, bG847: $o > $o).
% 57.64/9.35 tff(func_def_2077, type, bG848: $o > $o).
% 57.64/9.35 tff(func_def_2078, type, bG849: $o > $o).
% 57.64/9.35 tff(func_def_2079, type, lG852: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2080, type, lG854: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2081, type, lG856: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2082, type, lG858: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2083, type, lG860: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2084, type, bG862: $o > $o).
% 57.64/9.35 tff(func_def_2085, type, bG863: $o > $o).
% 57.64/9.35 tff(func_def_2086, type, bG864: $o > $o).
% 57.64/9.35 tff(func_def_2087, type, bG865: $o > $o).
% 57.64/9.35 tff(func_def_2088, type, iG866: (int * int) > int).
% 57.64/9.35 tff(func_def_2089, type, iG867: (int * int) > int).
% 57.64/9.35 tff(func_def_2090, type, bG868: (int * int) > $o).
% 57.64/9.35 tff(func_def_2091, type, bG869: $o > $o).
% 57.64/9.35 tff(func_def_2092, type, bG870: $o > $o).
% 57.64/9.35 tff(func_def_2093, type, iG871: $o > nat).
% 57.64/9.35 tff(func_def_2094, type, bG872: $o > $o).
% 57.64/9.35 tff(func_def_2095, type, bG873: $o > $o).
% 57.64/9.35 tff(func_def_2096, type, iG874: $o > nat).
% 57.64/9.35 tff(func_def_2097, type, bG875: $o > $o).
% 57.64/9.35 tff(func_def_2098, type, bG876: $o > $o).
% 57.64/9.35 tff(func_def_2099, type, bG877: $o > $o).
% 57.64/9.35 tff(func_def_2100, type, bG878: $o > $o).
% 57.64/9.35 tff(func_def_2101, type, bG879: $o > $o).
% 57.64/9.35 tff(func_def_2102, type, bG880: $o > $o).
% 57.64/9.35 tff(func_def_2103, type, bG881: $o > $o).
% 57.64/9.35 tff(func_def_2104, type, bG882: $o > $o).
% 57.64/9.35 tff(func_def_2105, type, lG883: nat > nat).
% 57.64/9.35 tff(func_def_2106, type, lG884: nat > nat).
% 57.64/9.35 tff(func_def_2107, type, iG885: nat > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2108, type, lG886: nat > nat).
% 57.64/9.35 tff(func_def_2109, type, lG887: nat > nat).
% 57.64/9.35 tff(func_def_2110, type, iG888: nat > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2111, type, bG889: $o > $o).
% 57.64/9.35 tff(func_def_2112, type, bG890: $o > $o).
% 57.64/9.35 tff(func_def_2113, type, iG891: $o > nat).
% 57.64/9.35 tff(func_def_2114, type, bG892: $o > $o).
% 57.64/9.35 tff(func_def_2115, type, bG893: $o > $o).
% 57.64/9.35 tff(func_def_2116, type, iG894: $o > nat).
% 57.64/9.35 tff(func_def_2117, type, bG895: $o > $o).
% 57.64/9.35 tff(func_def_2118, type, bG896: $o > $o).
% 57.64/9.35 tff(func_def_2119, type, bG897: $o > $o).
% 57.64/9.35 tff(func_def_2120, type, bG898: $o > $o).
% 57.64/9.35 tff(func_def_2121, type, iG899: $o > option(nat)).
% 57.64/9.35 tff(func_def_2122, type, iG900: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2123, type, bG901: $o > $o).
% 57.64/9.35 tff(func_def_2124, type, bG902: $o > $o).
% 57.64/9.35 tff(func_def_2125, type, iG903: $o > option(nat)).
% 57.64/9.35 tff(func_def_2126, type, iG904: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2127, type, bG905: $o > $o).
% 57.64/9.35 tff(func_def_2128, type, bG906: $o > $o).
% 57.64/9.35 tff(func_def_2129, type, bG907: $o > $o).
% 57.64/9.35 tff(func_def_2130, type, bG908: $o > $o).
% 57.64/9.35 tff(func_def_2131, type, iG909: $o > option(nat)).
% 57.64/9.35 tff(func_def_2132, type, iG910: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2133, type, bG911: $o > $o).
% 57.64/9.35 tff(func_def_2134, type, bG912: $o > $o).
% 57.64/9.35 tff(func_def_2135, type, iG913: $o > option(nat)).
% 57.64/9.35 tff(func_def_2136, type, iG914: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2137, type, bG915: $o > $o).
% 57.64/9.35 tff(func_def_2138, type, bG916: $o > $o).
% 57.64/9.35 tff(func_def_2139, type, bG917: $o > $o).
% 57.64/9.35 tff(func_def_2140, type, bG918: $o > $o).
% 57.64/9.35 tff(func_def_2141, type, bG919: $o > $o).
% 57.64/9.35 tff(func_def_2142, type, bG920: $o > $o).
% 57.64/9.35 tff(func_def_2143, type, bG921: $o > $o).
% 57.64/9.35 tff(func_def_2144, type, bG922: $o > $o).
% 57.64/9.35 tff(func_def_2145, type, iG923: !>[X0: $tType]:((list(list(X0))) > nat)).
% 57.64/9.35 tff(func_def_2146, type, iG924: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_2147, type, bG925: $o > $o).
% 57.64/9.35 tff(func_def_2148, type, bG926: $o > $o).
% 57.64/9.35 tff(func_def_2149, type, bG927: $o > $o).
% 57.64/9.35 tff(func_def_2150, type, bG928: $o > $o).
% 57.64/9.35 tff(func_def_2151, type, bG929: $o > $o).
% 57.64/9.35 tff(func_def_2152, type, bG930: $o > $o).
% 57.64/9.35 tff(func_def_2153, type, bG931: $o > $o).
% 57.64/9.35 tff(func_def_2154, type, bG932: $o > $o).
% 57.64/9.35 tff(func_def_2155, type, lG935: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2156, type, bG941: $o > $o).
% 57.64/9.35 tff(func_def_2157, type, bG942: $o > $o).
% 57.64/9.35 tff(func_def_2158, type, bG943: $o > $o).
% 57.64/9.35 tff(func_def_2159, type, bG944: $o > $o).
% 57.64/9.35 tff(func_def_2160, type, lG947: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2161, type, bG953: $o > $o).
% 57.64/9.35 tff(func_def_2162, type, bG954: $o > $o).
% 57.64/9.35 tff(func_def_2163, type, lG957: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2164, type, bG963: $o > $o).
% 57.64/9.35 tff(func_def_2165, type, bG964: $o > $o).
% 57.64/9.35 tff(func_def_2166, type, bG965: $o > $o).
% 57.64/9.35 tff(func_def_2167, type, bG966: $o > $o).
% 57.64/9.35 tff(func_def_2168, type, lG969: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2169, type, iG975: (int * real) > real).
% 57.64/9.35 tff(func_def_2170, type, iG976: (int * real) > real).
% 57.64/9.35 tff(func_def_2171, type, iG977: (int * int) > list(int)).
% 57.64/9.35 tff(func_def_2172, type, bG978: (int * int) > $o).
% 57.64/9.35 tff(func_def_2173, type, bG979: (int * int) > $o).
% 57.64/9.35 tff(func_def_2174, type, iG980: (int * int) > int).
% 57.64/9.35 tff(func_def_2175, type, bG981: $o > $o).
% 57.64/9.35 tff(func_def_2176, type, bG982: $o > $o).
% 57.64/9.35 tff(func_def_2177, type, bG986: $o > $o).
% 57.64/9.35 tff(func_def_2178, type, bG987: $o > $o).
% 57.64/9.35 tff(func_def_2179, type, iG988: (int * int * list(int)) > list(int)).
% 57.64/9.35 tff(func_def_2180, type, iG989: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_2181, type, iG990: !>[X0: $tType]:((list(X0) * X0) > list(X0))).
% 57.64/9.35 tff(func_def_2182, type, iG991: !>[X0: $tType]:((nat * X0) > set(X0))).
% 57.64/9.35 tff(func_def_2183, type, iG992: (nat * nat) > set(nat)).
% 57.64/9.35 tff(func_def_2184, type, iG993: (nat * nat * nat) > set(nat)).
% 57.64/9.35 tff(func_def_2185, type, lG994: !>[X0: $tType]:((list(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_2186, type, iG995: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_2187, type, iG996: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_2188, type, iG997: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_2189, type, iG998: (code_integer * num * code_integer) > product_prod(code_integer,code_integer)).
% 57.64/9.35 tff(func_def_2190, type, iG999: (code_integer * code_integer * code_integer) > code_integer).
% 57.64/9.35 tff(func_def_2191, type, bG1000: code_integer > $o).
% 57.64/9.35 tff(func_def_2192, type, iG1001: (int * num * int) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_2193, type, iG1002: (nat * fun(nat,real) * fun(nat,real)) > real).
% 57.64/9.35 tff(func_def_2194, type, iG1003: (nat * fun(nat,real) * fun(nat,real)) > real).
% 57.64/9.35 tff(func_def_2195, type, iG1004: (nat * num * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_2196, type, iG1005: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2197, type, iG1006: !>[X0: $tType]:((set(X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_2198, type, bG1007: $o > $o).
% 57.64/9.35 tff(func_def_2199, type, bG1008: $o > $o).
% 57.64/9.35 tff(func_def_2200, type, bG1009: $o > $o).
% 57.64/9.35 tff(func_def_2201, type, bG1010: $o > $o).
% 57.64/9.35 tff(func_def_2202, type, iG1011: nat > nat).
% 57.64/9.35 tff(func_def_2203, type, bG1012: $o > $o).
% 57.64/9.35 tff(func_def_2204, type, bG1013: $o > $o).
% 57.64/9.35 tff(func_def_2205, type, bG1014: $o > $o).
% 57.64/9.35 tff(func_def_2206, type, bG1015: $o > $o).
% 57.64/9.35 tff(func_def_2207, type, bG1016: $o > $o).
% 57.64/9.35 tff(func_def_2208, type, bG1017: $o > $o).
% 57.64/9.35 tff(func_def_2209, type, bG1018: $o > $o).
% 57.64/9.35 tff(func_def_2210, type, bG1019: $o > $o).
% 57.64/9.35 tff(func_def_2211, type, iG1020: nat > nat).
% 57.64/9.35 tff(func_def_2212, type, bG1021: $o > $o).
% 57.64/9.35 tff(func_def_2213, type, bG1022: $o > $o).
% 57.64/9.35 tff(func_def_2214, type, bG1023: $o > $o).
% 57.64/9.35 tff(func_def_2215, type, bG1024: $o > $o).
% 57.64/9.35 tff(func_def_2216, type, iG1025: $o > nat).
% 57.64/9.35 tff(func_def_2217, type, bG1026: $o > $o).
% 57.64/9.35 tff(func_def_2218, type, bG1027: $o > $o).
% 57.64/9.35 tff(func_def_2219, type, bG1028: $o > $o).
% 57.64/9.35 tff(func_def_2220, type, bG1029: $o > $o).
% 57.64/9.35 tff(func_def_2221, type, bG1030: $o > $o).
% 57.64/9.35 tff(func_def_2222, type, bG1031: $o > $o).
% 57.64/9.35 tff(func_def_2223, type, iG1032: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2224, type, iG1033: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2225, type, bG1034: $o > $o).
% 57.64/9.35 tff(func_def_2226, type, bG1035: $o > $o).
% 57.64/9.35 tff(func_def_2227, type, bG1036: $o > $o).
% 57.64/9.35 tff(func_def_2228, type, bG1037: $o > $o).
% 57.64/9.35 tff(func_def_2229, type, iG1038: $o > option(nat)).
% 57.64/9.35 tff(func_def_2230, type, iG1039: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2231, type, bG1040: $o > $o).
% 57.64/9.35 tff(func_def_2232, type, bG1041: $o > $o).
% 57.64/9.35 tff(func_def_2233, type, bG1042: $o > $o).
% 57.64/9.35 tff(func_def_2234, type, bG1043: $o > $o).
% 57.64/9.35 tff(func_def_2235, type, bG1044: $o > $o).
% 57.64/9.35 tff(func_def_2236, type, bG1045: $o > $o).
% 57.64/9.35 tff(func_def_2237, type, iG1046: !>[X0: $tType]:((set(X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_2238, type, bG1047: $o > $o).
% 57.64/9.35 tff(func_def_2239, type, bG1048: $o > $o).
% 57.64/9.35 tff(func_def_2240, type, lG1049: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2241, type, iG1050: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2242, type, iG1051: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2243, type, iG1052: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2244, type, iG1053: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2245, type, iG1054: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2246, type, iG1055: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2247, type, bG1056: $o > $o).
% 57.64/9.35 tff(func_def_2248, type, bG1057: $o > $o).
% 57.64/9.35 tff(func_def_2249, type, bG1058: $o > $o).
% 57.64/9.35 tff(func_def_2250, type, bG1059: $o > $o).
% 57.64/9.35 tff(func_def_2251, type, lG1060: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2252, type, iG1061: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2253, type, iG1062: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2254, type, iG1063: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2255, type, iG1064: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2256, type, iG1065: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2257, type, iG1066: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2258, type, bG1067: $o > $o).
% 57.64/9.35 tff(func_def_2259, type, bG1068: $o > $o).
% 57.64/9.35 tff(func_def_2260, type, iG1069: nat > nat).
% 57.64/9.35 tff(func_def_2261, type, lG1070: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2262, type, iG1071: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2263, type, iG1072: (nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2264, type, iG1073: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2265, type, iG1074: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2266, type, iG1075: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2267, type, bG1076: $o > $o).
% 57.64/9.35 tff(func_def_2268, type, bG1077: $o > $o).
% 57.64/9.35 tff(func_def_2269, type, iG1078: nat > nat).
% 57.64/9.35 tff(func_def_2270, type, bG1079: $o > $o).
% 57.64/9.35 tff(func_def_2271, type, bG1080: $o > $o).
% 57.64/9.35 tff(func_def_2272, type, lG1081: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2273, type, iG1082: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2274, type, iG1083: (nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2275, type, iG1084: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2276, type, iG1085: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2277, type, iG1086: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2278, type, bG1087: $o > $o).
% 57.64/9.35 tff(func_def_2279, type, bG1088: $o > $o).
% 57.64/9.35 tff(func_def_2280, type, lG1089: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2281, type, iG1090: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2282, type, lG1091: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2283, type, iG1092: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2284, type, iG1093: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2285, type, bG1094: $o > $o).
% 57.64/9.35 tff(func_def_2286, type, bG1095: $o > $o).
% 57.64/9.35 tff(func_def_2287, type, bG1096: $o > $o).
% 57.64/9.35 tff(func_def_2288, type, bG1097: $o > $o).
% 57.64/9.35 tff(func_def_2289, type, lG1098: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2290, type, lG1099: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2291, type, lG1100: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2292, type, iG1101: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2293, type, iG1102: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2294, type, iG1103: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2295, type, bG1104: $o > $o).
% 57.64/9.35 tff(func_def_2296, type, bG1105: $o > $o).
% 57.64/9.35 tff(func_def_2297, type, bG1106: $o > $o).
% 57.64/9.35 tff(func_def_2298, type, bG1107: $o > $o).
% 57.64/9.35 tff(func_def_2299, type, lG1108: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2300, type, lG1109: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2301, type, lG1110: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2302, type, lG1111: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2303, type, iG1112: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2304, type, iG1113: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2305, type, iG1114: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2306, type, iG1115: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2307, type, bG1116: $o > $o).
% 57.64/9.35 tff(func_def_2308, type, bG1117: $o > $o).
% 57.64/9.35 tff(func_def_2309, type, bG1118: $o > $o).
% 57.64/9.35 tff(func_def_2310, type, bG1119: $o > $o).
% 57.64/9.35 tff(func_def_2311, type, lG1120: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2312, type, iG1121: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2313, type, lG1122: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2314, type, iG1123: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2315, type, iG1124: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2316, type, bG1125: $o > $o).
% 57.64/9.35 tff(func_def_2317, type, bG1126: $o > $o).
% 57.64/9.35 tff(func_def_2318, type, bG1127: $o > $o).
% 57.64/9.35 tff(func_def_2319, type, bG1128: $o > $o).
% 57.64/9.35 tff(func_def_2320, type, bG1129: $o > $o).
% 57.64/9.35 tff(func_def_2321, type, bG1130: $o > $o).
% 57.64/9.35 tff(func_def_2322, type, bG1131: $o > $o).
% 57.64/9.35 tff(func_def_2323, type, bG1132: $o > $o).
% 57.64/9.35 tff(func_def_2324, type, lG1133: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2325, type, lG1134: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2326, type, lG1135: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2327, type, iG1136: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2328, type, iG1137: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2329, type, iG1138: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2330, type, bG1139: $o > $o).
% 57.64/9.35 tff(func_def_2331, type, bG1140: $o > $o).
% 57.64/9.35 tff(func_def_2332, type, bG1141: $o > $o).
% 57.64/9.35 tff(func_def_2333, type, bG1142: $o > $o).
% 57.64/9.35 tff(func_def_2334, type, bG1143: $o > $o).
% 57.64/9.35 tff(func_def_2335, type, bG1144: $o > $o).
% 57.64/9.35 tff(func_def_2336, type, bG1145: $o > $o).
% 57.64/9.35 tff(func_def_2337, type, bG1146: $o > $o).
% 57.64/9.35 tff(func_def_2338, type, lG1147: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2339, type, lG1148: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2340, type, lG1149: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2341, type, lG1150: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2342, type, iG1151: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2343, type, iG1152: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2344, type, iG1153: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2345, type, iG1154: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2346, type, bG1155: $o > $o).
% 57.64/9.35 tff(func_def_2347, type, bG1156: $o > $o).
% 57.64/9.35 tff(func_def_2348, type, iG1157: nat > nat).
% 57.64/9.35 tff(func_def_2349, type, lG1158: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2350, type, iG1159: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2351, type, lG1160: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2352, type, iG1161: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2353, type, iG1162: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2354, type, bG1163: $o > $o).
% 57.64/9.35 tff(func_def_2355, type, bG1164: $o > $o).
% 57.64/9.35 tff(func_def_2356, type, bG1165: $o > $o).
% 57.64/9.35 tff(func_def_2357, type, bG1166: $o > $o).
% 57.64/9.35 tff(func_def_2358, type, bG1167: $o > $o).
% 57.64/9.35 tff(func_def_2359, type, bG1168: $o > $o).
% 57.64/9.35 tff(func_def_2360, type, lG1169: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2361, type, lG1170: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2362, type, lG1171: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2363, type, iG1172: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2364, type, iG1173: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2365, type, iG1174: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2366, type, bG1175: $o > $o).
% 57.64/9.35 tff(func_def_2367, type, bG1176: $o > $o).
% 57.64/9.35 tff(func_def_2368, type, bG1177: $o > $o).
% 57.64/9.35 tff(func_def_2369, type, bG1178: $o > $o).
% 57.64/9.35 tff(func_def_2370, type, bG1179: $o > $o).
% 57.64/9.35 tff(func_def_2371, type, bG1180: $o > $o).
% 57.64/9.35 tff(func_def_2372, type, iG1181: $o > nat).
% 57.64/9.35 tff(func_def_2373, type, lG1182: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2374, type, lG1183: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2375, type, lG1184: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2376, type, lG1185: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2377, type, iG1186: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2378, type, iG1187: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2379, type, iG1188: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2380, type, iG1189: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2381, type, bG1190: $o > $o).
% 57.64/9.35 tff(func_def_2382, type, bG1191: $o > $o).
% 57.64/9.35 tff(func_def_2383, type, iG1192: nat > nat).
% 57.64/9.35 tff(func_def_2384, type, bG1193: $o > $o).
% 57.64/9.35 tff(func_def_2385, type, bG1194: $o > $o).
% 57.64/9.35 tff(func_def_2386, type, lG1195: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2387, type, iG1196: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2388, type, lG1197: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2389, type, iG1198: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2390, type, iG1199: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2391, type, bG1200: $o > $o).
% 57.64/9.35 tff(func_def_2392, type, bG1201: $o > $o).
% 57.64/9.35 tff(func_def_2393, type, bG1202: $o > $o).
% 57.64/9.35 tff(func_def_2394, type, bG1203: $o > $o).
% 57.64/9.35 tff(func_def_2395, type, bG1204: $o > $o).
% 57.64/9.35 tff(func_def_2396, type, bG1205: $o > $o).
% 57.64/9.35 tff(func_def_2397, type, bG1206: $o > $o).
% 57.64/9.35 tff(func_def_2398, type, bG1207: $o > $o).
% 57.64/9.35 tff(func_def_2399, type, bG1208: $o > $o).
% 57.64/9.35 tff(func_def_2400, type, bG1209: $o > $o).
% 57.64/9.35 tff(func_def_2401, type, bG1210: $o > $o).
% 57.64/9.35 tff(func_def_2402, type, bG1211: $o > $o).
% 57.64/9.35 tff(func_def_2403, type, lG1212: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2404, type, lG1213: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2405, type, lG1214: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2406, type, iG1215: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2407, type, iG1216: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2408, type, iG1217: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2409, type, bG1218: $o > $o).
% 57.64/9.35 tff(func_def_2410, type, bG1219: $o > $o).
% 57.64/9.35 tff(func_def_2411, type, bG1220: $o > $o).
% 57.64/9.35 tff(func_def_2412, type, bG1221: $o > $o).
% 57.64/9.35 tff(func_def_2413, type, bG1222: $o > $o).
% 57.64/9.35 tff(func_def_2414, type, bG1223: $o > $o).
% 57.64/9.35 tff(func_def_2415, type, bG1224: $o > $o).
% 57.64/9.35 tff(func_def_2416, type, bG1225: $o > $o).
% 57.64/9.35 tff(func_def_2417, type, bG1226: $o > $o).
% 57.64/9.35 tff(func_def_2418, type, bG1227: $o > $o).
% 57.64/9.35 tff(func_def_2419, type, iG1228: $o > nat).
% 57.64/9.35 tff(func_def_2420, type, bG1229: $o > $o).
% 57.64/9.35 tff(func_def_2421, type, bG1230: $o > $o).
% 57.64/9.35 tff(func_def_2422, type, lG1231: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2423, type, lG1232: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2424, type, lG1233: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2425, type, lG1234: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2426, type, iG1235: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2427, type, iG1236: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2428, type, iG1237: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2429, type, iG1238: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2430, type, bG1239: $o > $o).
% 57.64/9.35 tff(func_def_2431, type, bG1240: $o > $o).
% 57.64/9.35 tff(func_def_2432, type, bG1241: $o > $o).
% 57.64/9.35 tff(func_def_2433, type, bG1242: $o > $o).
% 57.64/9.35 tff(func_def_2434, type, bG1243: $o > $o).
% 57.64/9.35 tff(func_def_2435, type, bG1244: $o > $o).
% 57.64/9.35 tff(func_def_2436, type, iG1245: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2437, type, iG1246: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2438, type, lG1247: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2439, type, iG1248: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2440, type, lG1249: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2441, type, iG1250: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2442, type, iG1251: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2443, type, iG1252: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2444, type, bG1253: $o > $o).
% 57.64/9.35 tff(func_def_2445, type, bG1254: $o > $o).
% 57.64/9.35 tff(func_def_2446, type, bG1255: $o > $o).
% 57.64/9.35 tff(func_def_2447, type, bG1256: $o > $o).
% 57.64/9.35 tff(func_def_2448, type, bG1257: $o > $o).
% 57.64/9.35 tff(func_def_2449, type, bG1258: $o > $o).
% 57.64/9.35 tff(func_def_2450, type, iG1259: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2451, type, iG1260: (nat * $o * $o) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2452, type, bG1261: $o > $o).
% 57.64/9.35 tff(func_def_2453, type, bG1262: $o > $o).
% 57.64/9.35 tff(func_def_2454, type, lG1263: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2455, type, iG1264: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2456, type, lG1265: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2457, type, iG1266: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2458, type, iG1267: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2459, type, iG1268: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2460, type, bG1269: $o > $o).
% 57.64/9.35 tff(func_def_2461, type, bG1270: $o > $o).
% 57.64/9.35 tff(func_def_2462, type, bG1271: $o > $o).
% 57.64/9.35 tff(func_def_2463, type, bG1272: $o > $o).
% 57.64/9.35 tff(func_def_2464, type, bG1273: $o > $o).
% 57.64/9.35 tff(func_def_2465, type, bG1274: $o > $o).
% 57.64/9.35 tff(func_def_2466, type, iG1275: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2467, type, lG1276: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2468, type, iG1277: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2469, type, lG1278: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2470, type, lG1279: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2471, type, lG1280: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2472, type, lG1281: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2473, type, lG1282: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2474, type, lG1283: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2475, type, iG1284: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2476, type, iG1285: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2477, type, iG1286: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2478, type, iG1287: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2479, type, iG1288: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_2480, type, iG1289: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2481, type, iG1290: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2482, type, bG1291: $o > $o).
% 57.64/9.35 tff(func_def_2483, type, bG1292: $o > $o).
% 57.64/9.35 tff(func_def_2484, type, bG1293: $o > $o).
% 57.64/9.35 tff(func_def_2485, type, bG1294: $o > $o).
% 57.64/9.35 tff(func_def_2486, type, bG1295: $o > $o).
% 57.64/9.35 tff(func_def_2487, type, bG1296: $o > $o).
% 57.64/9.35 tff(func_def_2488, type, bG1297: $o > $o).
% 57.64/9.35 tff(func_def_2489, type, bG1298: $o > $o).
% 57.64/9.35 tff(func_def_2490, type, bG1299: $o > $o).
% 57.64/9.35 tff(func_def_2491, type, bG1300: $o > $o).
% 57.64/9.35 tff(func_def_2492, type, bG1301: $o > $o).
% 57.64/9.35 tff(func_def_2493, type, bG1302: $o > $o).
% 57.64/9.35 tff(func_def_2494, type, iG1303: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2495, type, lG1304: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2496, type, iG1305: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2497, type, lG1306: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2498, type, lG1307: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2499, type, lG1308: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2500, type, lG1309: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2501, type, lG1310: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2502, type, lG1311: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2503, type, iG1312: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2504, type, iG1313: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2505, type, iG1314: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2506, type, iG1315: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2507, type, iG1316: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_2508, type, iG1317: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2509, type, iG1318: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2510, type, bG1319: $o > $o).
% 57.64/9.35 tff(func_def_2511, type, bG1320: $o > $o).
% 57.64/9.35 tff(func_def_2512, type, bG1321: $o > $o).
% 57.64/9.35 tff(func_def_2513, type, bG1322: $o > $o).
% 57.64/9.35 tff(func_def_2514, type, bG1323: $o > $o).
% 57.64/9.35 tff(func_def_2515, type, bG1324: $o > $o).
% 57.64/9.35 tff(func_def_2516, type, bG1325: $o > $o).
% 57.64/9.35 tff(func_def_2517, type, bG1326: $o > $o).
% 57.64/9.35 tff(func_def_2518, type, bG1327: $o > $o).
% 57.64/9.35 tff(func_def_2519, type, bG1328: $o > $o).
% 57.64/9.35 tff(func_def_2520, type, lG1329: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2521, type, iG1330: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2522, type, lG1331: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2523, type, iG1332: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2524, type, lG1333: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2525, type, lG1334: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2526, type, lG1335: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2527, type, lG1336: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2528, type, lG1337: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2529, type, iG1338: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2530, type, iG1339: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2531, type, iG1340: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2532, type, iG1341: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2533, type, iG1342: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2534, type, iG1343: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2535, type, iG1344: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2536, type, bG1345: $o > $o).
% 57.64/9.35 tff(func_def_2537, type, bG1346: $o > $o).
% 57.64/9.35 tff(func_def_2538, type, bG1347: $o > $o).
% 57.64/9.35 tff(func_def_2539, type, bG1348: $o > $o).
% 57.64/9.35 tff(func_def_2540, type, bG1349: $o > $o).
% 57.64/9.35 tff(func_def_2541, type, bG1350: $o > $o).
% 57.64/9.35 tff(func_def_2542, type, bG1351: $o > $o).
% 57.64/9.35 tff(func_def_2543, type, bG1352: $o > $o).
% 57.64/9.35 tff(func_def_2544, type, bG1353: $o > $o).
% 57.64/9.35 tff(func_def_2545, type, bG1354: $o > $o).
% 57.64/9.35 tff(func_def_2546, type, bG1355: $o > $o).
% 57.64/9.35 tff(func_def_2547, type, bG1356: $o > $o).
% 57.64/9.35 tff(func_def_2548, type, bG1357: $o > $o).
% 57.64/9.35 tff(func_def_2549, type, bG1358: $o > $o).
% 57.64/9.35 tff(func_def_2550, type, bG1359: $o > $o).
% 57.64/9.35 tff(func_def_2551, type, bG1360: $o > $o).
% 57.64/9.35 tff(func_def_2552, type, lG1361: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2553, type, iG1362: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2554, type, lG1363: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2555, type, iG1364: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2556, type, lG1365: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2557, type, lG1366: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2558, type, lG1367: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2559, type, lG1368: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2560, type, lG1369: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2561, type, iG1370: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2562, type, iG1371: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2563, type, iG1372: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2564, type, iG1373: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2565, type, iG1374: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2566, type, iG1375: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2567, type, iG1376: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2568, type, bG1377: $o > $o).
% 57.64/9.35 tff(func_def_2569, type, bG1378: $o > $o).
% 57.64/9.35 tff(func_def_2570, type, bG1379: $o > $o).
% 57.64/9.35 tff(func_def_2571, type, bG1380: $o > $o).
% 57.64/9.35 tff(func_def_2572, type, iG1381: $o > option(nat)).
% 57.64/9.35 tff(func_def_2573, type, bG1382: $o > $o).
% 57.64/9.35 tff(func_def_2574, type, bG1383: $o > $o).
% 57.64/9.35 tff(func_def_2575, type, iG1384: $o > option(nat)).
% 57.64/9.35 tff(func_def_2576, type, iG1385: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2577, type, lG1386: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2578, type, lG1387: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2579, type, lG1388: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2580, type, lG1389: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2581, type, iG1390: (nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2582, type, iG1391: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2583, type, iG1392: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2584, type, iG1393: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2585, type, iG1394: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2586, type, bG1395: $o > $o).
% 57.64/9.35 tff(func_def_2587, type, bG1396: $o > $o).
% 57.64/9.35 tff(func_def_2588, type, iG1397: $o > option(nat)).
% 57.64/9.35 tff(func_def_2589, type, bG1398: $o > $o).
% 57.64/9.35 tff(func_def_2590, type, bG1399: $o > $o).
% 57.64/9.35 tff(func_def_2591, type, lG1400: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2592, type, lG1401: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2593, type, lG1402: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2594, type, lG1403: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2595, type, iG1404: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > option(nat)).
% 57.64/9.35 tff(func_def_2596, type, iG1405: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2597, type, iG1406: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2598, type, iG1407: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2599, type, bG1408: $o > $o).
% 57.64/9.35 tff(func_def_2600, type, bG1409: $o > $o).
% 57.64/9.35 tff(func_def_2601, type, iG1410: $o > option(nat)).
% 57.64/9.35 tff(func_def_2602, type, bG1411: $o > $o).
% 57.64/9.35 tff(func_def_2603, type, bG1412: $o > $o).
% 57.64/9.35 tff(func_def_2604, type, bG1413: $o > $o).
% 57.64/9.35 tff(func_def_2605, type, bG1414: $o > $o).
% 57.64/9.35 tff(func_def_2606, type, bG1415: $o > $o).
% 57.64/9.35 tff(func_def_2607, type, bG1416: $o > $o).
% 57.64/9.35 tff(func_def_2608, type, lG1417: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2609, type, lG1418: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2610, type, lG1419: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2611, type, lG1420: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2612, type, iG1421: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > option(nat)).
% 57.64/9.35 tff(func_def_2613, type, iG1422: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2614, type, iG1423: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2615, type, iG1424: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2616, type, bG1425: $o > $o).
% 57.64/9.35 tff(func_def_2617, type, bG1426: $o > $o).
% 57.64/9.35 tff(func_def_2618, type, bG1427: $o > $o).
% 57.64/9.35 tff(func_def_2619, type, bG1428: $o > $o).
% 57.64/9.35 tff(func_def_2620, type, bG1429: $o > $o).
% 57.64/9.35 tff(func_def_2621, type, bG1430: $o > $o).
% 57.64/9.35 tff(func_def_2622, type, iG1431: $o > option(nat)).
% 57.64/9.35 tff(func_def_2623, type, bG1432: $o > $o).
% 57.64/9.35 tff(func_def_2624, type, bG1433: $o > $o).
% 57.64/9.35 tff(func_def_2625, type, bG1434: $o > $o).
% 57.64/9.35 tff(func_def_2626, type, bG1435: $o > $o).
% 57.64/9.35 tff(func_def_2627, type, iG1436: $o > option(nat)).
% 57.64/9.35 tff(func_def_2628, type, iG1437: ($o * $o) > option(nat)).
% 57.64/9.35 tff(func_def_2629, type, bG1438: $o > $o).
% 57.64/9.35 tff(func_def_2630, type, bG1439: $o > $o).
% 57.64/9.35 tff(func_def_2631, type, lG1440: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2632, type, lG1441: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2633, type, lG1442: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2634, type, lG1443: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2635, type, iG1444: (nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2636, type, iG1445: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2637, type, iG1446: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2638, type, iG1447: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2639, type, iG1448: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2640, type, iG1449: (int * int) > list(int)).
% 57.64/9.35 tff(func_def_2641, type, iG1450: (int * int) > list(int)).
% 57.64/9.35 tff(func_def_2642, type, iG1451: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2643, type, iG1452: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2644, type, iG1453: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_2645, type, iG1454: (nat * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_2646, type, iG1455: (nat * nat) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_2647, type, iG1456: (nat * nat) > product_prod(int,int)).
% 57.64/9.35 tff(func_def_2648, type, bG1457: (int * int) > $o).
% 57.64/9.35 tff(func_def_2649, type, bG1458: (int * int) > $o).
% 57.64/9.35 tff(func_def_2650, type, iG1459: (int * int) > int).
% 57.64/9.35 tff(func_def_2651, type, bG1460: (int * int) > $o).
% 57.64/9.35 tff(func_def_2652, type, bG1461: (int * int) > $o).
% 57.64/9.35 tff(func_def_2653, type, iG1462: (int * int) > int).
% 57.64/9.35 tff(func_def_2654, type, bG1463: $o > $o).
% 57.64/9.35 tff(func_def_2655, type, bG1464: $o > $o).
% 57.64/9.35 tff(func_def_2656, type, lG1465: nat > nat).
% 57.64/9.35 tff(func_def_2657, type, lG1466: nat > nat).
% 57.64/9.35 tff(func_def_2658, type, bG1467: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2659, type, bG1468: $o > $o).
% 57.64/9.35 tff(func_def_2660, type, bG1469: $o > $o).
% 57.64/9.35 tff(func_def_2661, type, bG1470: $o > $o).
% 57.64/9.35 tff(func_def_2662, type, bG1471: $o > $o).
% 57.64/9.35 tff(func_def_2663, type, lG1472: nat > nat).
% 57.64/9.35 tff(func_def_2664, type, lG1473: nat > nat).
% 57.64/9.35 tff(func_def_2665, type, bG1474: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2666, type, bG1475: $o > $o).
% 57.64/9.35 tff(func_def_2667, type, bG1476: $o > $o).
% 57.64/9.35 tff(func_def_2668, type, lG1479: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2669, type, bG1481: $o > $o).
% 57.64/9.35 tff(func_def_2670, type, bG1482: $o > $o).
% 57.64/9.35 tff(func_def_2671, type, bG1483: $o > $o).
% 57.64/9.35 tff(func_def_2672, type, bG1484: $o > $o).
% 57.64/9.35 tff(func_def_2673, type, iG1485: (nat * $o) > $o).
% 57.64/9.35 tff(func_def_2674, type, iG1486: (nat * $o * $o) > $o).
% 57.64/9.35 tff(func_def_2675, type, bG1487: $o > $o).
% 57.64/9.35 tff(func_def_2676, type, bG1488: $o > $o).
% 57.64/9.35 tff(func_def_2677, type, lG1489: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2678, type, bG1490: (nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2679, type, iG1491: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.35 tff(func_def_2680, type, bG1492: $o > $o).
% 57.64/9.35 tff(func_def_2681, type, bG1493: $o > $o).
% 57.64/9.35 tff(func_def_2682, type, lG1494: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2683, type, lG1496: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2684, type, bG1498: $o > $o).
% 57.64/9.35 tff(func_def_2685, type, bG1499: $o > $o).
% 57.64/9.35 tff(func_def_2686, type, bG1500: $o > $o).
% 57.64/9.35 tff(func_def_2687, type, bG1501: $o > $o).
% 57.64/9.35 tff(func_def_2688, type, lG1502: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2689, type, lG1504: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2690, type, bG1505: (nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2691, type, iG1506: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.35 tff(func_def_2692, type, bG1507: $o > $o).
% 57.64/9.35 tff(func_def_2693, type, bG1508: $o > $o).
% 57.64/9.35 tff(func_def_2694, type, lG1511: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2695, type, bG1517: $o > $o).
% 57.64/9.35 tff(func_def_2696, type, bG1518: $o > $o).
% 57.64/9.35 tff(func_def_2697, type, bG1519: $o > $o).
% 57.64/9.35 tff(func_def_2698, type, bG1520: $o > $o).
% 57.64/9.35 tff(func_def_2699, type, iG1521: (nat * $o) > $o).
% 57.64/9.35 tff(func_def_2700, type, iG1522: (nat * $o * $o) > $o).
% 57.64/9.35 tff(func_def_2701, type, bG1523: $o > $o).
% 57.64/9.35 tff(func_def_2702, type, bG1524: $o > $o).
% 57.64/9.35 tff(func_def_2703, type, lG1525: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2704, type, iG1526: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.35 tff(func_def_2705, type, iG1527: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2706, type, iG1528: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2707, type, iG1529: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2708, type, iG1530: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2709, type, iG1531: (int * int) > int).
% 57.64/9.35 tff(func_def_2710, type, iG1532: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2711, type, bG1533: $o > $o).
% 57.64/9.35 tff(func_def_2712, type, bG1534: $o > $o).
% 57.64/9.35 tff(func_def_2713, type, bG1535: $o > $o).
% 57.64/9.35 tff(func_def_2714, type, bG1536: $o > $o).
% 57.64/9.35 tff(func_def_2715, type, bG1539: $o > $o).
% 57.64/9.35 tff(func_def_2716, type, bG1540: $o > $o).
% 57.64/9.35 tff(func_def_2717, type, iG1541: (nat * $o) > $o).
% 57.64/9.35 tff(func_def_2718, type, iG1542: (nat * $o * $o) > $o).
% 57.64/9.35 tff(func_def_2719, type, bG1543: $o > $o).
% 57.64/9.35 tff(func_def_2720, type, bG1544: $o > $o).
% 57.64/9.35 tff(func_def_2721, type, iG1545: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_2722, type, iG1546: !>[X0: $tType]:((list(X0) * X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_2723, type, iG1547: !>[X0: $tType]:((fun(X0,$o) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_2724, type, iG1548: !>[X0: $tType]:((list(X0) * nat * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_2725, type, iG1549: !>[X0: $tType]:((X0 * fun(X0,$o) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 57.64/9.35 tff(func_def_2726, type, iG1550: !>[X0: $tType]:((set(nat) * X0) > list(X0))).
% 57.64/9.35 tff(func_def_2727, type, iG1551: !>[X0: $tType]:((nat * list(X0) * X0) > list(X0))).
% 57.64/9.35 tff(func_def_2728, type, iG1552: !>[X0: $tType]:((nat * list(X0) * X0) > list(X0))).
% 57.64/9.35 tff(func_def_2729, type, lG1553: num > nat).
% 57.64/9.35 tff(func_def_2730, type, iG1554: !>[X0: $tType]:((X0 * X0 * list(X0)) > nat)).
% 57.64/9.35 tff(func_def_2731, type, iG1555: !>[X0: $tType]:((nat * list(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_2732, type, iG1556: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > set(X0))).
% 57.64/9.35 tff(func_def_2733, type, iG1557: !>[X0: $tType]:((set(X0) * X0 * fun(X0,nat)) > nat)).
% 57.64/9.35 tff(func_def_2734, type, bG1558: (nat * nat) > $o).
% 57.64/9.35 tff(func_def_2735, type, iG1559: (int * int * nat * nat) > int).
% 57.64/9.35 tff(func_def_2736, type, iG1560: (nat * int * int * nat) > int).
% 57.64/9.35 tff(func_def_2737, type, bG1561: (nat * nat) > $o).
% 57.64/9.35 tff(func_def_2738, type, iG1562: (int * int * nat * nat) > int).
% 57.64/9.35 tff(func_def_2739, type, iG1563: (nat * int * int * nat) > int).
% 57.64/9.35 tff(func_def_2740, type, iG1564: (int * int) > int).
% 57.64/9.35 tff(func_def_2741, type, iG1565: (int * int) > int).
% 57.64/9.35 tff(func_def_2742, type, bG1566: $o > $o).
% 57.64/9.35 tff(func_def_2743, type, lG1567: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2744, type, bG1571: $o > $o).
% 57.64/9.35 tff(func_def_2745, type, bG1572: $o > $o).
% 57.64/9.35 tff(func_def_2746, type, bG1573: $o > $o).
% 57.64/9.35 tff(func_def_2747, type, bG1574: $o > $o).
% 57.64/9.35 tff(func_def_2748, type, iG1575: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 57.64/9.35 tff(func_def_2749, type, iG1576: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 57.64/9.35 tff(func_def_2750, type, iG1577: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 57.64/9.35 tff(func_def_2751, type, iG1578: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_2752, type, iG1579: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X1,X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_2753, type, iG1580: !>[X0: $tType]:((list(X0) * nat * X0 * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_2754, type, iG1581: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X0,option(X1)) * X0) > set(X0))).
% 57.64/9.35 tff(func_def_2755, type, iG1582: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,option(X0))) > option(X0))).
% 57.64/9.35 tff(func_def_2756, type, iG1583: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,option(X0))) > fun(X1,option(X0)))).
% 57.64/9.35 tff(func_def_2757, type, iG1584: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X0) * product_prod(X1,X2)) > list(product_prod(X1,X0)))).
% 57.64/9.35 tff(func_def_2758, type, iG1585: !>[X0: $tType, X1: $tType]:((list(X1) * X1 * fun(X1,X0)) > option(X0))).
% 57.64/9.35 tff(func_def_2759, type, lG1586: num > nat).
% 57.64/9.35 tff(func_def_2760, type, iG1587: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0)) > option(X0))).
% 57.64/9.35 tff(func_def_2761, type, iG1588: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 57.64/9.35 tff(func_def_2762, type, iG1589: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_2763, type, iG1590: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_2764, type, iG1591: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 57.64/9.35 tff(func_def_2765, type, iG1592: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_2766, type, iG1593: !>[X0: $tType]:((nat * nat * list(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_2767, type, iG1594: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_2768, type, lG1595: nat > nat).
% 57.64/9.35 tff(func_def_2769, type, lG1596: nat > nat).
% 57.64/9.35 tff(func_def_2770, type, bG1597: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_2771, type, lG1599: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2772, type, bG1601: $o > $o).
% 57.64/9.35 tff(func_def_2773, type, bG1602: $o > $o).
% 57.64/9.35 tff(func_def_2774, type, iG1603: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,option(X0)) * option(X0)) > fun(X1,option(X0)))).
% 57.64/9.35 tff(func_def_2775, type, iG1604: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * X0) > set(X0))).
% 57.64/9.35 tff(func_def_2776, type, iG1605: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * set(X0)) > set(X0))).
% 57.64/9.35 tff(func_def_2777, type, iG1606: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1 * X0) > X0)).
% 57.64/9.35 tff(func_def_2778, type, iG1607: !>[X0: $tType, X1: $tType]:((X1 * X1 * list(product_prod(X1,X0)) * X0) > option(X0))).
% 57.64/9.35 tff(func_def_2779, type, lG1608: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2780, type, iG1609: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2781, type, iG1610: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2782, type, iG1611: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2783, type, iG1612: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2784, type, iG1613: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2785, type, iG1614: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2786, type, lG1615: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2787, type, iG1616: (list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2788, type, iG1617: (nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2789, type, iG1618: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2790, type, iG1619: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2791, type, iG1620: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2792, type, lG1621: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2793, type, lG1622: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2794, type, lG1623: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2795, type, iG1624: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2796, type, iG1625: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2797, type, iG1626: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2798, type, lG1627: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2799, type, iG1628: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2800, type, lG1629: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2801, type, iG1630: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2802, type, iG1631: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2803, type, lG1632: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2804, type, lG1633: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2805, type, lG1634: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2806, type, lG1635: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2807, type, iG1636: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2808, type, iG1637: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2809, type, iG1638: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2810, type, iG1639: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2811, type, lG1640: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2812, type, lG1641: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2813, type, lG1642: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2814, type, iG1643: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2815, type, iG1644: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2816, type, iG1645: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2817, type, lG1646: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2818, type, lG1647: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2819, type, lG1648: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2820, type, lG1649: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2821, type, iG1650: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2822, type, iG1651: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2823, type, iG1652: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2824, type, iG1653: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2825, type, lG1654: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2826, type, iG1655: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2827, type, lG1656: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2828, type, iG1657: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2829, type, iG1658: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2830, type, lG1659: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2831, type, iG1660: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2832, type, lG1661: (nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2833, type, iG1662: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2834, type, iG1663: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2835, type, iG1664: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2836, type, lG1665: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2837, type, lG1666: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2838, type, lG1667: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2839, type, lG1668: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2840, type, iG1669: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > option(nat)).
% 57.64/9.35 tff(func_def_2841, type, iG1670: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2842, type, iG1671: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2843, type, iG1672: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2844, type, lG1673: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2845, type, lG1674: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2846, type, lG1675: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2847, type, lG1676: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2848, type, iG1677: (nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2849, type, iG1678: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2850, type, iG1679: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2851, type, iG1680: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2852, type, iG1681: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2853, type, iG1682: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2854, type, lG1683: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2855, type, iG1684: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2856, type, lG1685: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2857, type, lG1686: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2858, type, lG1687: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2859, type, lG1688: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2860, type, lG1689: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2861, type, lG1690: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2862, type, iG1691: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2863, type, iG1692: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2864, type, iG1693: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2865, type, iG1694: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2866, type, iG1695: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_2867, type, iG1696: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2868, type, iG1697: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2869, type, lG1698: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2870, type, iG1699: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2871, type, lG1700: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2872, type, iG1701: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2873, type, lG1702: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2874, type, lG1703: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2875, type, lG1704: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2876, type, lG1705: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2877, type, lG1706: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2878, type, iG1707: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2879, type, iG1708: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2880, type, iG1709: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2881, type, iG1710: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2882, type, iG1711: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2883, type, iG1712: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2884, type, iG1713: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2885, type, iG1714: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_2886, type, iG1715: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_2887, type, lG1716: (nat * list(vEBT_VEBT) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_2888, type, lG1717: (list(vEBT_VEBT) * vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_2889, type, lG1718: (list(vEBT_VEBT) * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2890, type, lG1719: (list(vEBT_VEBT) * vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2891, type, lG1720: (list(vEBT_VEBT) * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2892, type, lG1721: (list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2893, type, iG1722: (nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2894, type, iG1723: (nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2895, type, iG1724: (nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2896, type, iG1725: (nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2897, type, iG1726: (list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2898, type, lG1727: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2899, type, iG1728: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2900, type, lG1729: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2901, type, iG1730: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2902, type, lG1731: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2903, type, lG1732: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2904, type, lG1733: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2905, type, lG1734: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2906, type, lG1735: (list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2907, type, iG1736: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > nat).
% 57.64/9.35 tff(func_def_2908, type, iG1737: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2909, type, iG1738: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2910, type, iG1739: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2911, type, iG1740: (list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2912, type, lG1741: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2913, type, lG1742: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2914, type, lG1743: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2915, type, lG1744: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2916, type, iG1745: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > option(nat)).
% 57.64/9.35 tff(func_def_2917, type, iG1746: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2918, type, iG1747: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2919, type, lG1748: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2920, type, lG1749: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2921, type, lG1750: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2922, type, lG1751: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2923, type, iG1752: (nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2924, type, iG1753: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2925, type, iG1754: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2926, type, iG1755: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2927, type, lG1756: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2928, type, lG1757: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2929, type, lG1758: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2930, type, lG1759: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2931, type, iG1760: (nat * nat * vEBT_VEBT * list(vEBT_VEBT)) > option(nat)).
% 57.64/9.35 tff(func_def_2932, type, iG1761: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > option(nat)).
% 57.64/9.35 tff(func_def_2933, type, lG1762: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2934, type, lG1763: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2935, type, lG1764: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2936, type, lG1765: (vEBT_VEBT * nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2937, type, iG1766: (nat * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2938, type, iG1767: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2939, type, iG1768: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2940, type, iG1769: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2941, type, iG1770: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2942, type, lG1771: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2943, type, lG1773: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_2944, type, iG1774: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.35 tff(func_def_2945, type, iG1775: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2946, type, iG1776: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2947, type, iG1777: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2948, type, iG1778: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.35 tff(func_def_2949, type, iG1779: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0))) > fun(X1,option(X0)))).
% 57.64/9.35 tff(func_def_2950, type, iG1780: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0) > set(product_prod(X1,X0)))).
% 57.64/9.35 tff(func_def_2951, type, iG1783: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * X2 * set(product_prod(X1,X0)) * X0 * X1) > set(product_prod(X1,X0)))).
% 57.64/9.35 tff(func_def_2952, type, iG1784: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * X2 * set(product_prod(X1,X0)) * X0 * X1) > set(product_prod(X1,X0)))).
% 57.64/9.35 tff(func_def_2953, type, bG1785: $o > $o).
% 57.64/9.35 tff(func_def_2954, type, bG1786: $o > $o).
% 57.64/9.35 tff(func_def_2955, type, bG1787: $o > $o).
% 57.64/9.35 tff(func_def_2956, type, bG1788: $o > $o).
% 57.64/9.35 tff(func_def_2957, type, bG1789: $o > $o).
% 57.64/9.35 tff(func_def_2958, type, bG1790: $o > $o).
% 57.64/9.35 tff(func_def_2959, type, bG1791: $o > $o).
% 57.64/9.35 tff(func_def_2960, type, bG1792: $o > $o).
% 57.64/9.35 tff(func_def_2961, type, bG1793: $o > $o).
% 57.64/9.35 tff(func_def_2962, type, bG1794: $o > $o).
% 57.64/9.35 tff(func_def_2963, type, bG1795: $o > $o).
% 57.64/9.35 tff(func_def_2964, type, bG1796: $o > $o).
% 57.64/9.35 tff(func_def_2965, type, bG1797: $o > $o).
% 57.64/9.35 tff(func_def_2966, type, bG1798: $o > $o).
% 57.64/9.35 tff(func_def_2967, type, bG1799: $o > $o).
% 57.64/9.35 tff(func_def_2968, type, bG1800: $o > $o).
% 57.64/9.35 tff(func_def_2969, type, bG1801: $o > $o).
% 57.64/9.35 tff(func_def_2970, type, bG1802: $o > $o).
% 57.64/9.35 tff(func_def_2971, type, bG1803: $o > $o).
% 57.64/9.35 tff(func_def_2972, type, bG1804: $o > $o).
% 57.64/9.35 tff(func_def_2973, type, bG1805: $o > $o).
% 57.64/9.35 tff(func_def_2974, type, bG1806: $o > $o).
% 57.64/9.35 tff(func_def_2975, type, bG1807: $o > $o).
% 57.64/9.35 tff(func_def_2976, type, bG1808: $o > $o).
% 57.64/9.35 tff(func_def_2977, type, lG1809: (list(vEBT_VEBT) * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2978, type, lG1810: (list(vEBT_VEBT) * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2979, type, lG1811: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2980, type, lG1812: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2981, type, iG1813: (nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2982, type, iG1814: (nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2983, type, iG1815: (nat * nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2984, type, iG1816: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2985, type, lG1817: (list(vEBT_VEBT) * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2986, type, lG1818: (list(vEBT_VEBT) * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_2987, type, lG1819: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2988, type, lG1820: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2989, type, iG1821: (nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2990, type, iG1822: (nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2991, type, iG1823: (nat * nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2992, type, iG1824: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2993, type, iG1825: (nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2994, type, lG1826: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_2995, type, lG1827: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_2996, type, iG1828: (nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2997, type, iG1829: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_2998, type, iG1830: (nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_2999, type, iG1831: (vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3000, type, lG1832: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3001, type, lG1833: (vEBT_VEBT * nat) > option(nat)).
% 57.64/9.35 tff(func_def_3002, type, iG1834: (nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_3003, type, iG1835: (nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_3004, type, iG1836: (nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_3005, type, iG1837: (vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3006, type, iG1838: (nat * nat * nat * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_3007, type, lG1839: vEBT_VEBT > option(nat)).
% 57.64/9.35 tff(func_def_3008, type, iG1840: (vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_3009, type, iG1841: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_3010, type, lG1842: vEBT_VEBT > option(nat)).
% 57.64/9.35 tff(func_def_3011, type, iG1843: (vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_3012, type, iG1844: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_3013, type, sK2518: (nat * nat * list(vEBT_VEBT) * nat * nat) > nat).
% 57.64/9.35 tff(func_def_3014, type, sK2519: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3015, type, sK2520: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3016, type, sK2521: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3017, type, sK2522: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3018, type, sK2523: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3019, type, sK2524: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3020, type, sK2525: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3021, type, sK2526: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3022, type, sK2527: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3023, type, sK2528: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3024, type, sK2529: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3025, type, sK2530: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3026, type, sK2531: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3027, type, sK2532: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3028, type, sK2533: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3029, type, sK2534: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3030, type, sK2535: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3031, type, sK2536: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3032, type, sK2537: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3033, type, sK2538: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3034, type, sK2539: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3035, type, sK2540: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3036, type, sK2541: list(vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_3037, type, sK2542: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3038, type, sK2543: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3039, type, sK2544: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3040, type, sK2545: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3041, type, sK2546: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3042, type, sK2547: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3043, type, sK2548: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3044, type, sK2549: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3045, type, sK2550: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3046, type, sK2551: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3047, type, sK2552: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3048, type, sK2553: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3049, type, sK2554: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3050, type, sK2555: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3051, type, sK2556: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3052, type, sK2557: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3053, type, sK2558: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3054, type, sK2559: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3055, type, sK2560: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3056, type, sK2561: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3057, type, sK2562: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3058, type, sK2563: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3059, type, sK2564: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3060, type, sK2565: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3061, type, sK2566: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3062, type, sK2567: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3063, type, sK2568: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3064, type, sK2569: !>[X0: $tType]:((X0 * X0) > nat)).
% 57.64/9.35 tff(func_def_3065, type, sK2570: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 57.64/9.35 tff(func_def_3066, type, sK2571: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 57.64/9.35 tff(func_def_3067, type, sK2572: !>[X0: $tType]:((X0 * set(X0)) > nat)).
% 57.64/9.35 tff(func_def_3068, type, sK2573: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3069, type, sK2574: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3070, type, sK2575: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3071, type, sK2576: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3072, type, sK2577: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3073, type, sK2578: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3074, type, sK2579: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3075, type, sK2580: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3076, type, sK2581: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3077, type, sK2582: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3078, type, sK2583: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3079, type, sK2584: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3080, type, sK2585: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3081, type, sK2586: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3082, type, sK2587: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3083, type, sK2588: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3084, type, sK2589: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3085, type, sK2590: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3086, type, sK2591: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3087, type, sK2592: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3088, type, sK2593: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3089, type, sK2594: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3090, type, sK2595: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3091, type, sK2596: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3092, type, sK2597: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3093, type, sK2598: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3094, type, sK2599: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3095, type, sK2600: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3096, type, sK2601: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3097, type, sK2602: !>[X0: $tType]:((set(X0)) > real)).
% 57.64/9.35 tff(func_def_3098, type, sK2603: !>[X0: $tType]:((set(X0) * real) > set(X0))).
% 57.64/9.35 tff(func_def_3099, type, sK2604: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3100, type, sK2605: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3101, type, sK2606: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3102, type, sK2607: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3103, type, sK2608: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3104, type, sK2609: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3105, type, sK2610: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3106, type, sK2611: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3107, type, sK2612: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3108, type, sK2613: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3109, type, sK2614: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3110, type, sK2615: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3111, type, sK2616: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3112, type, sK2617: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3113, type, sK2618: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3114, type, sK2619: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3115, type, sK2620: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 57.64/9.35 tff(func_def_3116, type, sK2621: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3117, type, sK2622: !>[X0: $tType]:((X0 * fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3118, type, sK2623: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3119, type, sK2624: !>[X0: $tType]:((X0 * fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3120, type, sK2625: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 57.64/9.35 tff(func_def_3121, type, sK2626: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3122, type, sK2627: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 57.64/9.35 tff(func_def_3123, type, sK2628: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 57.64/9.35 tff(func_def_3124, type, sK2629: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0) * real) > X0)).
% 57.64/9.35 tff(func_def_3125, type, sK2630: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0)) > real)).
% 57.64/9.35 tff(func_def_3126, type, sK2631: !>[X0: $tType]:((real * fun(nat,X0) * nat) > real)).
% 57.64/9.35 tff(func_def_3127, type, sK2632: !>[X0: $tType]:((X0 * X0) > nat)).
% 57.64/9.35 tff(func_def_3128, type, sK2633: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3129, type, sK2634: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3130, type, sK2635: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3131, type, sK2636: !>[X0: $tType]:((fun(int,$o) * X0) > int)).
% 57.64/9.35 tff(func_def_3132, type, sK2637: !>[X0: $tType]:((fun(int,$o) * X0) > int)).
% 57.64/9.35 tff(func_def_3133, type, sK2638: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3134, type, sK2639: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3135, type, sK2640: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3136, type, sK2641: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3137, type, sK2642: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3138, type, sK2643: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3139, type, sK2644: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3140, type, sK2645: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3141, type, sK2646: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3142, type, sK2647: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3143, type, sK2648: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 57.64/9.35 tff(func_def_3144, type, sK2649: !>[X0: $tType]:((fun(nat,complex) * nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3145, type, sK2650: fun(nat,complex) > nat).
% 57.64/9.35 tff(func_def_3146, type, sK2651: fun(nat,complex) > nat).
% 57.64/9.35 tff(func_def_3147, type, sK2652: !>[X0: $tType]:((fun(nat,real) * nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3148, type, sK2653: !>[X0: $tType]:((real * nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3149, type, sK2654: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 57.64/9.35 tff(func_def_3150, type, sK2655: !>[X0: $tType]:((fun(X0,X0) * X0 * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3151, type, sK2656: !>[X0: $tType]:((fun(X0,X0) * X0 * X0) > fun(X0,X0))).
% 57.64/9.35 tff(func_def_3152, type, sK2657: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3153, type, sK2658: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3154, type, sK2659: !>[X0: $tType]:((fun(X0,X0) * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3155, type, sK2660: !>[X0: $tType]:((set(X0) * fun(X0,X0) * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3156, type, sK2661: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3157, type, sK2662: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3158, type, sK2663: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3159, type, sK2664: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3160, type, sK2665: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3161, type, sK2666: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3162, type, sK2667: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3163, type, sK2668: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3164, type, sK2669: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3165, type, sK2670: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3166, type, sK2671: !>[X0: $tType]:((fun(X0,$o) * real) > X0)).
% 57.64/9.35 tff(func_def_3167, type, sK2672: !>[X0: $tType]:((fun(X0,$o)) > real)).
% 57.64/9.35 tff(func_def_3168, type, sK2673: !>[X0: $tType]:((fun(X0,$o) * real) > X0)).
% 57.64/9.35 tff(func_def_3169, type, sK2674: !>[X0: $tType]:((fun(X0,$o)) > real)).
% 57.64/9.35 tff(func_def_3170, type, sK2675: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3171, type, sK2676: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3172, type, sK2677: !>[X0: $tType]:((fun(nat,X0) * real * X0) > nat)).
% 57.64/9.35 tff(func_def_3173, type, sK2678: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3174, type, sK2679: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3175, type, sK2680: !>[X0: $tType]:((fun(nat,X0) * real * nat) > nat)).
% 57.64/9.35 tff(func_def_3176, type, sK2681: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 57.64/9.35 tff(func_def_3177, type, sK2682: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3178, type, sK2683: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3179, type, sK2684: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3180, type, sK2685: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3181, type, sK2686: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3182, type, sK2687: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3183, type, sK2688: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 57.64/9.35 tff(func_def_3184, type, sK2689: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3185, type, sK2690: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3186, type, sK2691: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3187, type, sK2692: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3188, type, sK2693: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 57.64/9.35 tff(func_def_3189, type, sK2694: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3190, type, sK2695: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3191, type, sK2696: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 57.64/9.35 tff(func_def_3192, type, sK2697: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3193, type, sK2698: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 57.64/9.35 tff(func_def_3194, type, sK2699: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 57.64/9.35 tff(func_def_3195, type, sK2700: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3196, type, sK2701: !>[X0: $tType]:((real * fun(nat,X0) * real) > nat)).
% 57.64/9.35 tff(func_def_3197, type, sK2702: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3198, type, sK2703: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3199, type, sK2704: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3200, type, sK2705: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3201, type, sK2706: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3202, type, sK2707: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3203, type, sK2708: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3204, type, sK2709: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3205, type, sK2710: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3206, type, sK2711: !>[X0: $tType]:((fun(X0,$o)) > $o)).
% 57.64/9.35 tff(func_def_3207, type, sK2712: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3208, type, sK2713: !>[X0: $tType]:((X0 * X0) > nat)).
% 57.64/9.35 tff(func_def_3209, type, sK2714: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3210, type, sK2715: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3211, type, sK2716: !>[X0: $tType]:((X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3212, type, sK2717: !>[X0: $tType]:((nat * X0) > X0)).
% 57.64/9.35 tff(func_def_3213, type, sK2718: !>[X0: $tType]:((X0 * X0) > nat)).
% 57.64/9.35 tff(func_def_3214, type, sK2719: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3215, type, sK2720: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3216, type, sK2721: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3217, type, sK2722: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3218, type, sK2723: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3219, type, sK2724: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3220, type, sK2725: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3221, type, sK2726: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3222, type, sK2727: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3223, type, sK2728: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3224, type, sK2729: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3225, type, sK2730: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3226, type, sK2731: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3227, type, sK2732: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3228, type, sK2733: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3229, type, sK2734: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3230, type, sK2735: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3231, type, sK2736: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3232, type, sK2737: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 57.64/9.35 tff(func_def_3233, type, sK2738: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 57.64/9.35 tff(func_def_3234, type, sK2739: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 57.64/9.35 tff(func_def_3235, type, sK2740: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 57.64/9.35 tff(func_def_3236, type, sK2741: !>[X0: $tType]:((fun(real,X0) * real * real * X0) > real)).
% 57.64/9.35 tff(func_def_3237, type, sK2742: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 57.64/9.35 tff(func_def_3238, type, sK2743: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 57.64/9.35 tff(func_def_3239, type, sK2744: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 57.64/9.35 tff(func_def_3240, type, sK2745: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 57.64/9.35 tff(func_def_3241, type, sK2746: !>[X0: $tType]:((real * real * fun(real,X0)) > X0)).
% 57.64/9.35 tff(func_def_3242, type, sK2747: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 57.64/9.35 tff(func_def_3243, type, sK2748: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3244, type, sK2749: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3245, type, sK2750: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3246, type, sK2751: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3247, type, sK2752: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3248, type, sK2753: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 57.64/9.35 tff(func_def_3249, type, sK2754: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 57.64/9.35 tff(func_def_3250, type, sK2755: !>[X0: $tType]:((nat * fun(nat,X0) * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3251, type, sK2756: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3252, type, sK2757: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3253, type, sK2758: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3254, type, sK2759: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3255, type, sK2760: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3256, type, sK2761: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 57.64/9.35 tff(func_def_3257, type, sK2762: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_3258, type, sK2763: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3259, type, sK2764: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3260, type, sK2765: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3261, type, sK2766: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3262, type, sK2767: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3263, type, sK2768: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3264, type, sK2769: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3265, type, sK2770: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3266, type, sK2771: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3267, type, sK2772: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3268, type, sK2773: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3269, type, sK2774: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3270, type, sK2775: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3271, type, sK2776: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3272, type, sK2777: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3273, type, sK2778: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3274, type, sK2779: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3275, type, sK2780: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3276, type, sK2781: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_3277, type, sK2782: !>[X0: $tType]:((X0) > int)).
% 57.64/9.35 tff(func_def_3278, type, sK2783: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3279, type, sK2784: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3280, type, sK2785: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3281, type, sK2786: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3282, type, sK2787: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3283, type, sK2788: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3284, type, sK2789: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3285, type, sK2790: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3286, type, sK2791: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3287, type, sK2792: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3288, type, sK2793: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3289, type, sK2794: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3290, type, sK2795: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3291, type, sK2796: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3292, type, sK2797: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3293, type, sK2798: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3294, type, sK2799: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3295, type, sK2800: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3296, type, sK2801: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3297, type, sK2802: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3298, type, sK2803: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3299, type, sK2804: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 57.64/9.35 tff(func_def_3300, type, sK2805: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 57.64/9.35 tff(func_def_3301, type, sK2806: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3302, type, sK2807: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3303, type, sK2808: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3304, type, sK2809: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3305, type, sK2810: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3306, type, sK2811: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_3307, type, sK2812: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3308, type, sK2813: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3309, type, sK2814: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_3310, type, sK2815: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3311, type, sK2816: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3312, type, sK2817: !>[X0: $tType]:((set(X0) * X0) > set(X0))).
% 57.64/9.35 tff(func_def_3313, type, sK2818: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3314, type, sK2819: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_3315, type, sK2820: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 57.64/9.35 tff(func_def_3316, type, sK2821: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_3317, type, sK2822: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3318, type, sK2823: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3319, type, sK2824: !>[X0: $tType]:((fun(nat,X0) * X0) > set(X0))).
% 57.64/9.35 tff(func_def_3320, type, sK2825: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 57.64/9.35 tff(func_def_3321, type, sK2826: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 57.64/9.35 tff(func_def_3322, type, sK2827: !>[X0: $tType]:((set(X0) * fun(X0,real) * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3323, type, sK2828: !>[X0: $tType]:((fun(X0,real) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3324, type, sK2829: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3325, type, sK2830: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3326, type, sK2831: !>[X0: $tType]:((fun(X0,real) * X0 * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3327, type, sK2832: !>[X0: $tType]:((X0 * fun(X0,real)) > X0)).
% 57.64/9.35 tff(func_def_3328, type, sK2833: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3329, type, sK2834: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3330, type, sK2835: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3331, type, sK2836: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3332, type, sK2837: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3333, type, sK2838: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3334, type, sK2839: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3335, type, sK2840: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3336, type, sK2841: !>[X0: $tType]:((set(nat) * fun(nat,X0) * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3337, type, sK2842: !>[X0: $tType]:((X0) > nat)).
% 57.64/9.35 tff(func_def_3338, type, sK2843: !>[X0: $tType]:((fun(X0,$o)) > nat)).
% 57.64/9.35 tff(func_def_3339, type, sK2844: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3340, type, sK2845: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3341, type, sK2846: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3342, type, sK2847: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3343, type, sK2848: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3344, type, sK2849: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3345, type, sK2850: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3346, type, sK2851: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3347, type, sK2852: !>[X0: $tType]:((set(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3348, type, sK2853: !>[X0: $tType]:((set(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3349, type, sK2854: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3350, type, sK2855: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3351, type, sK2856: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3352, type, sK2857: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3353, type, sK2858: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3354, type, sK2859: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3355, type, sK2860: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3356, type, sK2861: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3357, type, sK2862: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3358, type, sK2863: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3359, type, sK2864: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3360, type, sK2865: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3361, type, sK2866: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.35 tff(func_def_3362, type, sK2867: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3363, type, sK2868: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3364, type, sK2869: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3365, type, sK2870: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3366, type, sK2871: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3367, type, sK2872: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3368, type, sK2873: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3369, type, sK2874: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3370, type, sK2875: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3371, type, sK2876: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3372, type, sK2877: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3373, type, sK2878: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3374, type, sK2879: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3375, type, sK2880: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3376, type, sK2881: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3377, type, sK2882: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3378, type, sK2883: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3379, type, sK2884: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3380, type, sK2885: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3381, type, sK2886: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3382, type, sK2887: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3383, type, sK2888: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3384, type, sK2889: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3385, type, sK2890: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 57.64/9.35 tff(func_def_3386, type, sK2891: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 57.64/9.35 tff(func_def_3387, type, sK2892: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 57.64/9.35 tff(func_def_3388, type, sK2893: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 57.64/9.35 tff(func_def_3389, type, sK2894: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3390, type, sK2895: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3391, type, sK2896: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3392, type, sK2897: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3393, type, sK2898: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3394, type, sK2899: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3395, type, sK2900: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3396, type, sK2901: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3397, type, sK2902: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3398, type, sK2903: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3399, type, sK2904: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3400, type, sK2905: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3401, type, sK2906: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3402, type, sK2907: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3403, type, sK2908: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3404, type, sK2909: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3405, type, sK2910: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3406, type, sK2911: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3407, type, sK2912: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3408, type, sK2913: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3409, type, sK2914: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3410, type, sK2915: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3411, type, sK2916: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3412, type, sK2917: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3413, type, sK2918: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3414, type, sK2919: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3415, type, sK2920: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3416, type, sK2921: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3417, type, sK2922: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3418, type, sK2923: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3419, type, sK2924: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3420, type, sK2925: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3421, type, sK2926: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3422, type, sK2927: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3423, type, sK2928: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3424, type, sK2929: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3425, type, sK2930: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3426, type, sK2931: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3427, type, sK2932: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3428, type, sK2933: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3429, type, sK2934: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3430, type, sK2935: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3431, type, sK2936: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3432, type, sK2937: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3433, type, sK2938: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3434, type, sK2939: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 57.64/9.35 tff(func_def_3435, type, sK2940: !>[X0: $tType]:((fun(X0,nat) * fun(X0,nat)) > X0)).
% 57.64/9.35 tff(func_def_3436, type, sK2941: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3437, type, sK2942: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3438, type, sK2943: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3439, type, sK2944: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3440, type, sK2945: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3441, type, sK2946: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3442, type, sK2947: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3443, type, sK2948: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > X0)).
% 57.64/9.35 tff(func_def_3444, type, sK2949: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3445, type, sK2950: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_3446, type, sK2951: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3447, type, sK2952: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3448, type, sK2953: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3449, type, sK2954: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3450, type, sK2955: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3451, type, sK2956: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3452, type, sK2957: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3453, type, sK2958: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3454, type, sK2959: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3455, type, sK2960: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3456, type, sK2961: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3457, type, sK2962: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3458, type, sK2963: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3459, type, sK2964: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3460, type, sK2965: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3461, type, sK2966: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3462, type, sK2967: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3463, type, sK2968: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3464, type, sK2969: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3465, type, sK2970: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3466, type, sK2971: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3467, type, sK2972: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3468, type, sK2973: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3469, type, sK2974: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3470, type, sK2975: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3471, type, sK2976: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3472, type, sK2977: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3473, type, sK2978: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3474, type, sK2979: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3475, type, sK2980: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3476, type, sK2981: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3477, type, sK2982: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3478, type, sK2983: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3479, type, sK2984: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3480, type, sK2985: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3481, type, sK2986: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3482, type, sK2987: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3483, type, sK2988: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3484, type, sK2989: num > num).
% 57.64/9.35 tff(func_def_3485, type, sK2990: num > num).
% 57.64/9.35 tff(func_def_3486, type, sK2991: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3487, type, sK2992: set(nat) > fun(nat,nat)).
% 57.64/9.35 tff(func_def_3488, type, sK2993: set(nat) > nat).
% 57.64/9.35 tff(func_def_3489, type, sK2994: int > nat).
% 57.64/9.35 tff(func_def_3490, type, sK2995: int > nat).
% 57.64/9.35 tff(func_def_3491, type, sK2996: nat > nat).
% 57.64/9.35 tff(func_def_3492, type, sK2997: nat > nat).
% 57.64/9.35 tff(func_def_3493, type, sK2998: nat > nat).
% 57.64/9.35 tff(func_def_3494, type, sK2999: nat > nat).
% 57.64/9.35 tff(func_def_3495, type, sK3000: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3496, type, sK3001: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3497, type, sK3002: complex > real).
% 57.64/9.35 tff(func_def_3498, type, sK3003: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3499, type, sK3004: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3500, type, sK3005: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3501, type, sK3006: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3502, type, sK3007: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3503, type, sK3008: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3504, type, sK3009: fun(nat,real) > fun(nat,int)).
% 57.64/9.35 tff(func_def_3505, type, sK3010: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3506, type, sK3011: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3507, type, sK3012: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3508, type, sK3013: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3509, type, sK3014: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3510, type, sK3015: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3511, type, sK3016: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3512, type, sK3017: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3513, type, sK3018: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3514, type, sK3019: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3515, type, sK3020: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3516, type, sK3021: product_prod(num,num) > num).
% 57.64/9.35 tff(func_def_3517, type, sK3022: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3518, type, sK3023: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3519, type, sK3024: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3520, type, sK3025: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3521, type, sK3026: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3522, type, sK3027: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3523, type, sK3028: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3524, type, sK3029: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3525, type, sK3030: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3526, type, sK3031: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 57.64/9.35 tff(func_def_3527, type, sK3032: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 57.64/9.35 tff(func_def_3528, type, sK3033: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3529, type, sK3034: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3530, type, sK3035: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 57.64/9.35 tff(func_def_3531, type, sK3036: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 57.64/9.35 tff(func_def_3532, type, sK3037: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3533, type, sK3038: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_3534, type, sK3039: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3535, type, sK3040: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3536, type, sK3041: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 57.64/9.35 tff(func_def_3537, type, sK3042: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3538, type, sK3043: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > X0)).
% 57.64/9.35 tff(func_def_3539, type, sK3044: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3540, type, sK3045: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3541, type, sK3046: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3542, type, sK3047: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3543, type, sK3048: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3544, type, sK3049: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3545, type, sK3050: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3546, type, sK3051: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3547, type, sK3052: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3548, type, sK3053: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3549, type, sK3054: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3550, type, sK3055: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3551, type, sK3056: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 57.64/9.35 tff(func_def_3552, type, sK3057: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3553, type, sK3058: !>[X0: $tType]:((X0) > X0)).
% 57.64/9.35 tff(func_def_3554, type, sK3059: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3555, type, sK3060: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 57.64/9.35 tff(func_def_3556, type, sK3061: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3557, type, sK3062: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3558, type, sK3063: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3559, type, sK3064: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3560, type, sK3065: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_3561, type, sK3066: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3562, type, sK3067: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_3563, type, sK3068: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3564, type, sK3069: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3565, type, sK3070: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3566, type, sK3071: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3567, type, sK3072: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3568, type, sK3073: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3569, type, sK3074: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3570, type, sK3075: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3571, type, sK3076: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3572, type, sK3077: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3573, type, sK3078: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3574, type, sK3079: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3575, type, sK3080: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3576, type, sK3081: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3577, type, sK3082: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3578, type, sK3083: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3579, type, sK3084: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3580, type, sK3085: !>[X0: $tType]:((fun(nat,X0) * set(nat)) > nat)).
% 57.64/9.35 tff(func_def_3581, type, sK3086: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3582, type, sK3087: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 57.64/9.35 tff(func_def_3583, type, sK3088: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3584, type, sK3089: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_3585, type, sK3090: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 57.64/9.35 tff(func_def_3586, type, sK3091: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3587, type, sK3092: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3588, type, sK3093: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3589, type, sK3094: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3590, type, sK3095: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3591, type, sK3096: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_3592, type, sK3097: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3593, type, sK3098: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3594, type, sK3099: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3595, type, sK3100: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 57.64/9.35 tff(func_def_3596, type, sK3101: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3597, type, sK3102: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3598, type, sK3103: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_3599, type, sK3104: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3600, type, sK3105: !>[X0: $tType]:((X0 * X0 * fun(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_3601, type, sK3106: fun(nat,$o) > nat).
% 57.64/9.35 tff(func_def_3602, type, sK3107: int > nat).
% 57.64/9.35 tff(func_def_3603, type, sK3108: int > nat).
% 57.64/9.35 tff(func_def_3604, type, sK3109: int > nat).
% 57.64/9.35 tff(func_def_3605, type, sK3110: int > nat).
% 57.64/9.35 tff(func_def_3606, type, sK3111: nat > nat).
% 57.64/9.35 tff(func_def_3607, type, sK3112: nat > nat).
% 57.64/9.35 tff(func_def_3608, type, sK3113: fun(nat,real) > real).
% 57.64/9.35 tff(func_def_3609, type, sK3114: (fun(nat,real) * nat) > nat).
% 57.64/9.35 tff(func_def_3610, type, sK3115: fun(nat,real) > real).
% 57.64/9.35 tff(func_def_3611, type, sK3116: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3612, type, sK3117: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3613, type, sK3118: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3614, type, sK3119: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3615, type, sK3120: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3616, type, sK3121: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3617, type, sK3122: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3618, type, sK3123: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3619, type, sK3124: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3620, type, sK3125: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3621, type, sK3126: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3622, type, sK3127: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3623, type, sK3128: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3624, type, sK3129: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3625, type, sK3130: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3626, type, sK3131: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3627, type, sK3132: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3628, type, sK3133: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3629, type, sK3134: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3630, type, sK3135: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3631, type, sK3136: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3632, type, sK3137: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3633, type, sK3138: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3634, type, sK3139: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3635, type, sK3140: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3636, type, sK3141: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3637, type, sK3142: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3638, type, sK3143: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3639, type, sK3144: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3640, type, sK3145: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3641, type, sK3146: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3642, type, sK3147: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3643, type, sK3148: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3644, type, sK3149: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3645, type, sK3150: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3646, type, sK3151: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3647, type, sK3152: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3648, type, sK3153: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3649, type, sK3154: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3650, type, sK3155: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3651, type, sK3156: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3652, type, sK3157: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3653, type, sK3158: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3654, type, sK3159: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3655, type, sK3160: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3656, type, sK3161: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3657, type, sK3162: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3658, type, sK3163: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3659, type, sK3164: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3660, type, sK3165: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3661, type, sK3166: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3662, type, sK3167: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3663, type, sK3168: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3664, type, sK3169: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3665, type, sK3170: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3666, type, sK3171: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3667, type, sK3172: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3668, type, sK3173: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3669, type, sK3174: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3670, type, sK3175: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3671, type, sK3176: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3672, type, sK3177: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3673, type, sK3178: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3674, type, sK3179: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3675, type, sK3180: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3676, type, sK3181: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3677, type, sK3182: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3678, type, sK3183: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3679, type, sK3184: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3680, type, sK3185: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3681, type, sK3186: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3682, type, sK3187: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3683, type, sK3188: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3684, type, sK3189: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3685, type, sK3190: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3686, type, sK3191: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3687, type, sK3192: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3688, type, sK3193: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3689, type, sK3194: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3690, type, sK3195: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3691, type, sK3196: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3692, type, sK3197: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3693, type, sK3198: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3694, type, sK3199: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3695, type, sK3200: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3696, type, sK3201: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3697, type, sK3202: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3698, type, sK3203: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3699, type, sK3204: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3700, type, sK3205: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3701, type, sK3206: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3702, type, sK3207: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3703, type, sK3208: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3704, type, sK3209: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3705, type, sK3210: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3706, type, sK3211: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3707, type, sK3212: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3708, type, sK3213: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3709, type, sK3214: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3710, type, sK3215: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3711, type, sK3216: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3712, type, sK3217: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3713, type, sK3218: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3714, type, sK3219: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3715, type, sK3220: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3716, type, sK3221: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3717, type, sK3222: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3718, type, sK3223: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3719, type, sK3224: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3720, type, sK3225: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3721, type, sK3226: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3722, type, sK3227: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3723, type, sK3228: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3724, type, sK3229: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3725, type, sK3230: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3726, type, sK3231: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3727, type, sK3232: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3728, type, sK3233: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3729, type, sK3234: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3730, type, sK3235: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3731, type, sK3236: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3732, type, sK3237: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3733, type, sK3238: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3734, type, sK3239: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3735, type, sK3240: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3736, type, sK3241: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3737, type, sK3242: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3738, type, sK3243: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3739, type, sK3244: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3740, type, sK3245: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3741, type, sK3246: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3742, type, sK3247: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3743, type, sK3248: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3744, type, sK3249: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3745, type, sK3250: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3746, type, sK3251: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3747, type, sK3252: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3748, type, sK3253: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3749, type, sK3254: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3750, type, sK3255: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3751, type, sK3256: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3752, type, sK3257: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3753, type, sK3258: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3754, type, sK3259: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3755, type, sK3260: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3756, type, sK3261: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3757, type, sK3262: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3758, type, sK3263: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3759, type, sK3264: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3760, type, sK3265: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3761, type, sK3266: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3762, type, sK3267: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3763, type, sK3268: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3764, type, sK3269: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3765, type, sK3270: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3766, type, sK3271: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3767, type, sK3272: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3768, type, sK3273: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_3769, type, sK3274: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3770, type, sK3275: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3771, type, sK3276: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3772, type, sK3277: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3773, type, sK3278: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3774, type, sK3279: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3775, type, sK3280: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3776, type, sK3281: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3777, type, sK3282: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3778, type, sK3283: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3779, type, sK3284: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3780, type, sK3285: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3781, type, sK3286: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3782, type, sK3287: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3783, type, sK3288: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3784, type, sK3289: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3785, type, sK3290: product_prod(vEBT_VEBT,nat) > $o).
% 57.64/9.35 tff(func_def_3786, type, sK3291: product_prod(vEBT_VEBT,nat) > nat).
% 57.64/9.35 tff(func_def_3787, type, sK3292: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3788, type, sK3293: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3789, type, sK3294: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_3790, type, sK3295: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_3791, type, sK3296: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_3792, type, sK3297: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_3793, type, sK3298: set(real) > real).
% 57.64/9.35 tff(func_def_3794, type, sK3299: (set(real) * real) > real).
% 57.64/9.35 tff(func_def_3795, type, sK3300: (set(real) * real) > real).
% 57.64/9.35 tff(func_def_3796, type, sK3301: rat > rat).
% 57.64/9.35 tff(func_def_3797, type, sK3302: rat > rat).
% 57.64/9.35 tff(func_def_3798, type, sK3303: int > nat).
% 57.64/9.35 tff(func_def_3799, type, sK3304: int > nat).
% 57.64/9.35 tff(func_def_3800, type, sK3305: int > nat).
% 57.64/9.35 tff(func_def_3801, type, sK3306: int > nat).
% 57.64/9.35 tff(func_def_3802, type, sK3307: int > nat).
% 57.64/9.35 tff(func_def_3803, type, sK3308: int > nat).
% 57.64/9.35 tff(func_def_3804, type, sK3309: int > nat).
% 57.64/9.35 tff(func_def_3805, type, sK3310: (real * real) > nat).
% 57.64/9.35 tff(func_def_3806, type, sK3311: real > real).
% 57.64/9.35 tff(func_def_3807, type, sK3312: real > real).
% 57.64/9.35 tff(func_def_3808, type, sK3313: real > nat).
% 57.64/9.35 tff(func_def_3809, type, sK3314: real > nat).
% 57.64/9.35 tff(func_def_3810, type, sK3315: real > real).
% 57.64/9.35 tff(func_def_3811, type, sK3316: nat > nat).
% 57.64/9.35 tff(func_def_3812, type, sK3317: real > real).
% 57.64/9.35 tff(func_def_3813, type, sK3318: real > real).
% 57.64/9.35 tff(func_def_3814, type, sK3319: real > real).
% 57.64/9.35 tff(func_def_3815, type, sK3320: nat > nat).
% 57.64/9.35 tff(func_def_3816, type, sK3321: set(int) > int).
% 57.64/9.35 tff(func_def_3817, type, sK3322: (set(int) * int) > int).
% 57.64/9.35 tff(func_def_3818, type, sK3323: set(nat) > nat).
% 57.64/9.35 tff(func_def_3819, type, sK3324: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_3820, type, sK3325: set(nat) > nat).
% 57.64/9.35 tff(func_def_3821, type, sK3326: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_3822, type, sK3327: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_3823, type, sK3328: (fun(nat,real) * nat) > nat).
% 57.64/9.35 tff(func_def_3824, type, sK3329: (fun(nat,real) * nat) > nat).
% 57.64/9.35 tff(func_def_3825, type, sK3330: (fun(nat,real) * nat) > nat).
% 57.64/9.35 tff(func_def_3826, type, sK3331: set(int) > int).
% 57.64/9.35 tff(func_def_3827, type, sK3332: set(int) > int).
% 57.64/9.35 tff(func_def_3828, type, sK3333: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_3829, type, sK3334: set(nat) > nat).
% 57.64/9.35 tff(func_def_3830, type, sK3335: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_3831, type, sK3336: set(nat) > nat).
% 57.64/9.35 tff(func_def_3832, type, sK3337: set(nat) > nat).
% 57.64/9.35 tff(func_def_3833, type, sK3338: set(nat) > nat).
% 57.64/9.35 tff(func_def_3834, type, sK3339: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3835, type, sK3340: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_3836, type, sK3341: (fun(real,real) * real) > real).
% 57.64/9.35 tff(func_def_3837, type, sK3342: fun(real,real) > real).
% 57.64/9.35 tff(func_def_3838, type, sK3343: (fun(nat,$o) * nat) > nat).
% 57.64/9.35 tff(func_def_3839, type, sK3344: fun(nat,$o) > nat).
% 57.64/9.35 tff(func_def_3840, type, sK3345: real > nat).
% 57.64/9.35 tff(func_def_3841, type, sK3346: real > nat).
% 57.64/9.35 tff(func_def_3842, type, sK3347: real > int).
% 57.64/9.35 tff(func_def_3843, type, sK3348: real > nat).
% 57.64/9.35 tff(func_def_3844, type, sK3349: real > nat).
% 57.64/9.35 tff(func_def_3845, type, sK3350: real > int).
% 57.64/9.35 tff(func_def_3846, type, sK3351: real > int).
% 57.64/9.35 tff(func_def_3847, type, sK3352: real > nat).
% 57.64/9.35 tff(func_def_3848, type, sK3353: real > nat).
% 57.64/9.35 tff(func_def_3849, type, sK3354: real > int).
% 57.64/9.35 tff(func_def_3850, type, sK3355: fun(nat,$o) > int).
% 57.64/9.35 tff(func_def_3851, type, sK3356: fun(nat,$o) > nat).
% 57.64/9.35 tff(func_def_3852, type, sK3357: fun(nat,$o) > nat).
% 57.64/9.35 tff(func_def_3853, type, sK3358: fun(nat,$o) > int).
% 57.64/9.35 tff(func_def_3854, type, sK3359: real > int).
% 57.64/9.35 tff(func_def_3855, type, sK3360: real > int).
% 57.64/9.35 tff(func_def_3856, type, sK3361: real > int).
% 57.64/9.35 tff(func_def_3857, type, sK3362: real > nat).
% 57.64/9.35 tff(func_def_3858, type, sK3363: real > nat).
% 57.64/9.35 tff(func_def_3859, type, sK3364: nat > nat).
% 57.64/9.35 tff(func_def_3860, type, sK3365: filter(nat) > nat).
% 57.64/9.35 tff(func_def_3861, type, sK3366: real > int).
% 57.64/9.35 tff(func_def_3862, type, sK3367: int > nat).
% 57.64/9.35 tff(func_def_3863, type, sK3368: product_prod(nat,nat) > nat).
% 57.64/9.35 tff(func_def_3864, type, sK3369: product_prod(nat,nat) > nat).
% 57.64/9.35 tff(func_def_3865, type, sK3370: int > nat).
% 57.64/9.35 tff(func_def_3866, type, sK3371: int > nat).
% 57.64/9.35 tff(func_def_3867, type, sK3372: int > nat).
% 57.64/9.35 tff(func_def_3868, type, sK3373: int > int).
% 57.64/9.35 tff(func_def_3869, type, sK3374: int > nat).
% 57.64/9.35 tff(func_def_3870, type, sK3375: int > nat).
% 57.64/9.35 tff(func_def_3871, type, sK3376: real > real).
% 57.64/9.35 tff(func_def_3872, type, sK3377: real > real).
% 57.64/9.35 tff(func_def_3873, type, sK3378: real > real).
% 57.64/9.35 tff(func_def_3874, type, sK3379: real > real).
% 57.64/9.35 tff(func_def_3875, type, sK3380: real > real).
% 57.64/9.35 tff(func_def_3876, type, sK3381: complex > complex).
% 57.64/9.35 tff(func_def_3877, type, sK3382: complex > real).
% 57.64/9.35 tff(func_def_3878, type, sK3383: complex > real).
% 57.64/9.35 tff(func_def_3879, type, sK3384: complex > real).
% 57.64/9.35 tff(func_def_3880, type, sK3385: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 57.64/9.35 tff(func_def_3881, type, sK3386: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3882, type, sK3387: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 57.64/9.35 tff(func_def_3883, type, sK3388: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 57.64/9.35 tff(func_def_3884, type, sK3389: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 57.64/9.35 tff(func_def_3885, type, sK3390: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 57.64/9.35 tff(func_def_3886, type, sK3391: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X0)).
% 57.64/9.35 tff(func_def_3887, type, sK3392: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 57.64/9.35 tff(func_def_3888, type, sK3393: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3889, type, sK3394: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X0)).
% 57.64/9.35 tff(func_def_3890, type, sK3395: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 57.64/9.35 tff(func_def_3891, type, sK3396: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 57.64/9.35 tff(func_def_3892, type, sK3397: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X1)).
% 57.64/9.35 tff(func_def_3893, type, sK3398: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 57.64/9.35 tff(func_def_3894, type, sK3399: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3895, type, sK3400: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 57.64/9.35 tff(func_def_3896, type, sK3401: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3897, type, sK3402: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_3898, type, sK3403: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 57.64/9.35 tff(func_def_3899, type, sK3404: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 57.64/9.35 tff(func_def_3900, type, sK3405: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 57.64/9.35 tff(func_def_3901, type, sK3406: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 57.64/9.35 tff(func_def_3902, type, sK3407: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 57.64/9.35 tff(func_def_3903, type, sK3408: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 57.64/9.35 tff(func_def_3904, type, sK3409: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 57.64/9.35 tff(func_def_3905, type, sK3410: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 57.64/9.35 tff(func_def_3906, type, sK3411: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 57.64/9.35 tff(func_def_3907, type, sK3412: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 57.64/9.35 tff(func_def_3908, type, sK3413: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * real) > X1)).
% 57.64/9.35 tff(func_def_3909, type, sK3414: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,real)) > X1)).
% 57.64/9.35 tff(func_def_3910, type, sK3415: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * filter(X1)) > real)).
% 57.64/9.35 tff(func_def_3911, type, sK3416: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_3912, type, sK3417: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_3913, type, sK3418: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3914, type, sK3419: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3915, type, sK3420: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3916, type, sK3421: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3917, type, sK3422: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3918, type, sK3423: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_3919, type, sK3424: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 57.64/9.35 tff(func_def_3920, type, sK3425: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 57.64/9.35 tff(func_def_3921, type, sK3426: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3922, type, sK3427: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3923, type, sK3428: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3924, type, sK3429: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3925, type, sK3430: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1 * X1) > X0)).
% 57.64/9.35 tff(func_def_3926, type, sK3431: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3927, type, sK3432: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3928, type, sK3433: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3929, type, sK3434: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3930, type, sK3435: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3931, type, sK3436: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3932, type, sK3437: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3933, type, sK3438: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3934, type, sK3439: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_3935, type, sK3440: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3936, type, sK3441: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3937, type, sK3442: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3938, type, sK3443: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3939, type, sK3444: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3940, type, sK3445: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3941, type, sK3446: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3942, type, sK3447: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3943, type, sK3448: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3944, type, sK3449: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3945, type, sK3450: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3946, type, sK3451: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3947, type, sK3452: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3948, type, sK3453: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3949, type, sK3454: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3950, type, sK3455: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3951, type, sK3456: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_3952, type, sK3457: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X1)).
% 57.64/9.35 tff(func_def_3953, type, sK3458: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3954, type, sK3459: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3955, type, sK3460: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X1)).
% 57.64/9.35 tff(func_def_3956, type, sK3461: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_3957, type, sK3462: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_3958, type, sK3463: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3959, type, sK3464: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3960, type, sK3465: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3961, type, sK3466: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 57.64/9.35 tff(func_def_3962, type, sK3467: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3963, type, sK3468: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3964, type, sK3469: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > set(X1))).
% 57.64/9.35 tff(func_def_3965, type, sK3470: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 57.64/9.35 tff(func_def_3966, type, sK3471: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > set(X1))).
% 57.64/9.35 tff(func_def_3967, type, sK3472: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 57.64/9.35 tff(func_def_3968, type, sK3473: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1) * set(X1)) > X0)).
% 57.64/9.35 tff(func_def_3969, type, sK3474: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1)) > set(X1))).
% 57.64/9.35 tff(func_def_3970, type, sK3475: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,$o) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3971, type, sK3476: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3972, type, sK3477: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3973, type, sK3478: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3974, type, sK3479: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3975, type, sK3480: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3976, type, sK3481: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3977, type, sK3482: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3978, type, sK3483: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3979, type, sK3484: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3980, type, sK3485: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3981, type, sK3486: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3982, type, sK3487: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3983, type, sK3488: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3984, type, sK3489: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3985, type, sK3490: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3986, type, sK3491: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3987, type, sK3492: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_3988, type, sK3493: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3989, type, sK3494: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3990, type, sK3495: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3991, type, sK3496: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3992, type, sK3497: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3993, type, sK3498: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3994, type, sK3499: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3995, type, sK3500: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_3996, type, sK3501: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_3997, type, sK3502: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 57.64/9.35 tff(func_def_3998, type, sK3503: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_3999, type, sK3504: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_4000, type, sK3505: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_4001, type, sK3506: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4002, type, sK3507: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_4003, type, sK3508: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4004, type, sK3509: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4005, type, sK3510: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4006, type, sK3511: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4007, type, sK3512: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4008, type, sK3513: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4009, type, sK3514: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4010, type, sK3515: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4011, type, sK3516: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4012, type, sK3517: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4013, type, sK3518: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4014, type, sK3519: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4015, type, sK3520: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_4016, type, sK3521: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_4017, type, sK3522: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_4018, type, sK3523: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.35 tff(func_def_4019, type, sK3524: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4020, type, sK3525: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4021, type, sK3526: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4022, type, sK3527: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4023, type, sK3528: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4024, type, sK3529: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4025, type, sK3530: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4026, type, sK3531: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4027, type, sK3532: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4028, type, sK3533: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4029, type, sK3534: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_4030, type, sK3535: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4031, type, sK3536: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4032, type, sK3537: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_4033, type, sK3538: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_4034, type, sK3539: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 57.64/9.35 tff(func_def_4035, type, sK3540: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_4036, type, sK3541: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 57.64/9.35 tff(func_def_4037, type, sK3542: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_4038, type, sK3543: !>[X0: $tType, X1: $tType]:((fun(set(X1),$o) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4039, type, sK3544: !>[X0: $tType, X1: $tType]:((fun(set(X1),$o) * fun(X1,X0)) > set(X1))).
% 57.64/9.35 tff(func_def_4040, type, sK3545: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * X1) > X1)).
% 57.64/9.35 tff(func_def_4041, type, sK3546: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 57.64/9.35 tff(func_def_4042, type, sK3547: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 57.64/9.35 tff(func_def_4043, type, sK3548: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 57.64/9.35 tff(func_def_4044, type, sK3549: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 57.64/9.35 tff(func_def_4045, type, sK3550: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4046, type, sK3551: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4047, type, sK3552: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4048, type, sK3553: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4049, type, sK3554: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_4050, type, sK3555: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_4051, type, sK3556: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4052, type, sK3557: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4053, type, sK3558: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4054, type, sK3559: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4055, type, sK3560: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4056, type, sK3561: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4057, type, sK3562: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4058, type, sK3563: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4059, type, sK3564: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4060, type, sK3565: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4061, type, sK3566: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4062, type, sK3567: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4063, type, sK3568: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4064, type, sK3569: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4065, type, sK3570: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4066, type, sK3571: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4067, type, sK3572: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4068, type, sK3573: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4069, type, sK3574: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4070, type, sK3575: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4071, type, sK3576: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4072, type, sK3577: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4073, type, sK3578: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4074, type, sK3579: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4075, type, sK3580: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4076, type, sK3581: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4077, type, sK3582: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4078, type, sK3583: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4079, type, sK3584: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4080, type, sK3585: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4081, type, sK3586: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4082, type, sK3587: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4083, type, sK3588: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4084, type, sK3589: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4085, type, sK3590: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4086, type, sK3591: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4087, type, sK3592: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4088, type, sK3593: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4089, type, sK3594: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4090, type, sK3595: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4091, type, sK3596: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4092, type, sK3597: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4093, type, sK3598: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4094, type, sK3599: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4095, type, sK3600: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4096, type, sK3601: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4097, type, sK3602: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4098, type, sK3603: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4099, type, sK3604: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4100, type, sK3605: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4101, type, sK3606: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4102, type, sK3607: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4103, type, sK3608: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4104, type, sK3609: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4105, type, sK3610: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4106, type, sK3611: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4107, type, sK3612: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4108, type, sK3613: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4109, type, sK3614: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4110, type, sK3615: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4111, type, sK3616: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4112, type, sK3617: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4113, type, sK3618: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4114, type, sK3619: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4115, type, sK3620: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_4116, type, sK3621: fun(nat,real) > real).
% 57.64/9.35 tff(func_def_4117, type, sK3622: (fun(nat,real) * real) > nat).
% 57.64/9.35 tff(func_def_4118, type, sK3623: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4119, type, sK3624: (fun(nat,real) * fun(nat,nat)) > nat).
% 57.64/9.35 tff(func_def_4120, type, sK3625: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4121, type, sK3626: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4122, type, sK3627: (fun(nat,real) * nat) > nat).
% 57.64/9.35 tff(func_def_4123, type, sK3628: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4124, type, sK3629: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4125, type, sK3630: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4126, type, sK3631: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4127, type, sK3632: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4128, type, sK3633: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4129, type, sK3634: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4130, type, sK3635: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4131, type, sK3636: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4132, type, sK3637: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4133, type, sK3638: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4134, type, sK3639: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4135, type, sK3640: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4136, type, sK3641: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4137, type, sK3642: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4138, type, sK3643: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4139, type, sK3644: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4140, type, sK3645: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4141, type, sK3646: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4142, type, sK3647: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4143, type, sK3648: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4144, type, sK3649: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4145, type, sK3650: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4146, type, sK3651: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4147, type, sK3652: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4148, type, sK3653: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4149, type, sK3654: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4150, type, sK3655: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4151, type, sK3656: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4152, type, sK3657: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4153, type, sK3658: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4154, type, sK3659: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4155, type, sK3660: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4156, type, sK3661: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4157, type, sK3662: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4158, type, sK3663: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4159, type, sK3664: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4160, type, sK3665: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4161, type, sK3666: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4162, type, sK3667: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4163, type, sK3668: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4164, type, sK3669: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4165, type, sK3670: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4166, type, sK3671: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4167, type, sK3672: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4168, type, sK3673: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4169, type, sK3674: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4170, type, sK3675: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4171, type, sK3676: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4172, type, sK3677: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4173, type, sK3678: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4174, type, sK3679: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4175, type, sK3680: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4176, type, sK3681: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4177, type, sK3682: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4178, type, sK3683: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4179, type, sK3684: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4180, type, sK3685: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4181, type, sK3686: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4182, type, sK3687: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4183, type, sK3688: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4184, type, sK3689: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4185, type, sK3690: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4186, type, sK3691: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4187, type, sK3692: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4188, type, sK3693: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4189, type, sK3694: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4190, type, sK3695: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4191, type, sK3696: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4192, type, sK3697: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4193, type, sK3698: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4194, type, sK3699: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4195, type, sK3700: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4196, type, sK3701: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4197, type, sK3702: (list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_4198, type, sK3703: (list(vEBT_VEBT) * nat) > nat).
% 57.64/9.35 tff(func_def_4199, type, sK3704: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4200, type, sK3705: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4201, type, sK3706: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_4202, type, sK3707: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_4203, type, sK3708: !>[X0: $tType]:((set(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_4204, type, sK3709: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_4205, type, sK3710: !>[X0: $tType]:((set(X0)) > list(X0))).
% 57.64/9.35 tff(func_def_4206, type, sK3711: !>[X0: $tType]:((set(X0)) > fun(X0,nat))).
% 57.64/9.35 tff(func_def_4207, type, sK3712: !>[X0: $tType]:((set(X0)) > nat)).
% 57.64/9.35 tff(func_def_4208, type, sK3713: !>[X0: $tType]:((set(X0)) > nat)).
% 57.64/9.35 tff(func_def_4209, type, sK3714: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 57.64/9.35 tff(func_def_4210, type, sK3715: (real * nat) > real).
% 57.64/9.35 tff(func_def_4211, type, sK3716: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4212, type, sK3717: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4213, type, sK3718: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4214, type, sK3719: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4215, type, sK3720: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4216, type, sK3721: (list(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_4217, type, sK3722: (list(nat) * nat) > list(nat)).
% 57.64/9.35 tff(func_def_4218, type, sK3723: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4219, type, sK3724: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4220, type, sK3725: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4221, type, sK3726: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4222, type, sK3727: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4223, type, sK3728: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4224, type, sK3729: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4225, type, sK3730: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4226, type, sK3731: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4227, type, sK3732: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4228, type, sK3733: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4229, type, sK3734: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4230, type, sK3735: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4231, type, sK3736: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4232, type, sK3737: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4233, type, sK3738: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4234, type, sK3739: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4235, type, sK3740: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4236, type, sK3741: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4237, type, sK3742: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4238, type, sK3743: (list(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_4239, type, sK3744: (list(nat) * nat) > list(nat)).
% 57.64/9.35 tff(func_def_4240, type, sK3745: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4241, type, sK3746: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4242, type, sK3747: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4243, type, sK3748: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4244, type, sK3749: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4245, type, sK3750: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4246, type, sK3751: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4247, type, sK3752: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4248, type, sK3753: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4249, type, sK3754: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4250, type, sK3755: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4251, type, sK3756: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4252, type, sK3757: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4253, type, sK3758: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4254, type, sK3759: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4255, type, sK3760: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4256, type, sK3761: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4257, type, sK3762: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4258, type, sK3763: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4259, type, sK3764: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4260, type, sK3765: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4261, type, sK3766: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4262, type, sK3767: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4263, type, sK3768: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4264, type, sK3769: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4265, type, sK3770: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4266, type, sK3771: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4267, type, sK3772: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4268, type, sK3773: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4269, type, sK3774: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4270, type, sK3775: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4271, type, sK3776: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4272, type, sK3777: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4273, type, sK3778: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4274, type, sK3779: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4275, type, sK3780: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4276, type, sK3781: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4277, type, sK3782: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4278, type, sK3783: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4279, type, sK3784: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4280, type, sK3785: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.35 tff(func_def_4281, type, sK3786: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.35 tff(func_def_4282, type, sK3787: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.35 tff(func_def_4283, type, sK3788: !>[X0: $tType]:((set(list(X0))) > nat)).
% 57.64/9.35 tff(func_def_4284, type, sK3789: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.35 tff(func_def_4285, type, sK3790: (fun(nat,real) * real) > nat).
% 57.64/9.35 tff(func_def_4286, type, sK3791: fun(nat,real) > real).
% 57.64/9.35 tff(func_def_4287, type, sK3792: (fun(nat,real) * real) > nat).
% 57.64/9.35 tff(func_def_4288, type, sK3793: (fun(nat,real) * real) > nat).
% 57.64/9.35 tff(func_def_4289, type, sK3794: fun(nat,real) > real).
% 57.64/9.35 tff(func_def_4290, type, sK3795: (fun(nat,real) * real) > nat).
% 57.64/9.35 tff(func_def_4291, type, sK3796: !>[X0: $tType]:((option(X0)) > X0)).
% 57.64/9.35 tff(func_def_4292, type, sK3797: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4293, type, sK3798: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4294, type, sK3799: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4295, type, sK3800: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4296, type, sK3801: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4297, type, sK3802: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4298, type, sK3803: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4299, type, sK3804: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4300, type, sK3805: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4301, type, sK3806: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4302, type, sK3807: (option(nat) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4303, type, sK3808: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4304, type, sK3809: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4305, type, sK3810: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4306, type, sK3811: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4307, type, sK3812: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4308, type, sK3813: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4309, type, sK3814: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4310, type, sK3815: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4311, type, sK3816: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4312, type, sK3817: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4313, type, sK3818: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4314, type, sK3819: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4315, type, sK3820: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4316, type, sK3821: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4317, type, sK3822: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4318, type, sK3823: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4319, type, sK3824: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4320, type, sK3825: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4321, type, sK3826: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4322, type, sK3827: (option(nat) * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4323, type, sK3828: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4324, type, sK3829: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4325, type, sK3830: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4326, type, sK3831: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4327, type, sK3832: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4328, type, sK3833: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4329, type, sK3834: (vEBT_VEBT * option(nat)) > nat).
% 57.64/9.35 tff(func_def_4330, type, sK3835: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4331, type, sK3836: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4332, type, sK3837: (set(real) * fun(real,real)) > real).
% 57.64/9.35 tff(func_def_4333, type, sK3838: (set(real) * fun(real,real)) > real).
% 57.64/9.35 tff(func_def_4334, type, sK3839: (int * int) > int).
% 57.64/9.35 tff(func_def_4335, type, sK3840: (nat * nat) > nat).
% 57.64/9.35 tff(func_def_4336, type, sK3841: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4337, type, sK3842: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4338, type, sK3843: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4339, type, sK3844: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4340, type, sK3845: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4341, type, sK3846: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4342, type, sK3847: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4343, type, sK3848: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4344, type, sK3849: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4345, type, sK3850: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4346, type, sK3851: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4347, type, sK3852: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4348, type, sK3853: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.35 tff(func_def_4349, type, sK3854: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.35 tff(func_def_4350, type, sK3855: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4351, type, sK3856: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4352, type, sK3857: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4353, type, sK3858: fun(nat,real) > nat).
% 57.64/9.35 tff(func_def_4354, type, sK3859: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 57.64/9.35 tff(func_def_4355, type, sK3860: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4356, type, sK3861: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4357, type, sK3862: (fun(nat,real) * real) > fun(nat,int)).
% 57.64/9.35 tff(func_def_4358, type, sK3863: (real * real) > real).
% 57.64/9.35 tff(func_def_4359, type, sK3864: (real * real) > real).
% 57.64/9.35 tff(func_def_4360, type, sK3865: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 57.64/9.35 tff(func_def_4361, type, sK3866: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 57.64/9.35 tff(func_def_4362, type, sK3867: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * set(X1)) > fun(nat,X1))).
% 57.64/9.35 tff(func_def_4363, type, sK3868: !>[X0: $tType]:((X0 * set(X0) * fun(nat,X0)) > nat)).
% 57.64/9.35 tff(func_def_4364, type, sK3869: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 57.64/9.35 tff(func_def_4365, type, sK3870: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > X1)).
% 57.64/9.35 tff(func_def_4366, type, sK3871: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > nat)).
% 57.64/9.35 tff(func_def_4367, type, sK3872: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 57.64/9.35 tff(func_def_4368, type, sK3873: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 57.64/9.35 tff(func_def_4369, type, sK3874: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 57.64/9.35 tff(func_def_4370, type, sK3875: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 57.64/9.35 tff(func_def_4371, type, sK3876: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 57.64/9.35 tff(func_def_4372, type, sK3877: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 57.64/9.35 tff(func_def_4373, type, sK3878: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 57.64/9.35 tff(func_def_4374, type, sK3879: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 57.64/9.35 tff(func_def_4375, type, sK3880: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4376, type, sK3881: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4377, type, sK3882: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4378, type, sK3883: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0) > real)).
% 57.64/9.35 tff(func_def_4379, type, sK3884: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0 * real) > X1)).
% 57.64/9.35 tff(func_def_4380, type, sK3885: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * real) > X1)).
% 57.64/9.35 tff(func_def_4381, type, sK3886: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4382, type, sK3887: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1) > fun(X1,X0))).
% 57.64/9.35 tff(func_def_4383, type, sK3888: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > real)).
% 57.64/9.35 tff(func_def_4384, type, sK3889: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > X1)).
% 57.64/9.35 tff(func_def_4385, type, sK3890: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > real)).
% 57.64/9.35 tff(func_def_4386, type, sK3891: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4387, type, sK3892: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > fun(X0,X1))).
% 57.64/9.35 tff(func_def_4388, type, sK3893: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > real)).
% 57.64/9.35 tff(func_def_4389, type, sK3894: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real)) > X1)).
% 57.64/9.35 tff(func_def_4390, type, sK3895: !>[X0: $tType, X1: $tType]:((real * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4391, type, sK3896: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 57.64/9.35 tff(func_def_4392, type, sK3897: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 57.64/9.35 tff(func_def_4393, type, sK3898: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_4394, type, sK3899: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 57.64/9.35 tff(func_def_4395, type, sK3900: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 57.64/9.35 tff(func_def_4396, type, sK3901: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 57.64/9.35 tff(func_def_4397, type, sK3902: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4398, type, sK3903: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4399, type, sK3904: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X1 * X1) > X1)).
% 57.64/9.35 tff(func_def_4400, type, sK3905: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4401, type, sK3906: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4402, type, sK3907: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4403, type, sK3908: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_4404, type, sK3909: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4405, type, sK3910: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4406, type, sK3911: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4407, type, sK3912: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4408, type, sK3913: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 57.64/9.35 tff(func_def_4409, type, sK3914: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4410, type, sK3915: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_4411, type, sK3916: !>[X0: $tType, X1: $tType]:((X1 * set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4412, type, sK3917: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4413, type, sK3918: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 57.64/9.35 tff(func_def_4414, type, sK3919: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4415, type, sK3920: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4416, type, sK3921: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4417, type, sK3922: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4418, type, sK3923: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4419, type, sK3924: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4420, type, sK3925: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4421, type, sK3926: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 57.64/9.35 tff(func_def_4422, type, sK3927: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_4423, type, sK3928: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 57.64/9.35 tff(func_def_4424, type, sK3929: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 57.64/9.35 tff(func_def_4425, type, sK3930: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4426, type, sK3931: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 57.64/9.35 tff(func_def_4427, type, sK3932: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4428, type, sK3933: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4429, type, sK3934: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4430, type, sK3935: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4431, type, sK3936: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4432, type, sK3937: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4433, type, sK3938: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4434, type, sK3939: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.35 tff(func_def_4435, type, sK3940: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4436, type, sK3941: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4437, type, sK3942: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4438, type, sK3943: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4439, type, sK3944: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4440, type, sK3945: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4441, type, sK3946: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4442, type, sK3947: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4443, type, sK3948: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4444, type, sK3949: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4445, type, sK3950: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4446, type, sK3951: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4447, type, sK3952: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4448, type, sK3953: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4449, type, sK3954: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4450, type, sK3955: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4451, type, sK3956: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4452, type, sK3957: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4453, type, sK3958: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4454, type, sK3959: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4455, type, sK3960: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4456, type, sK3961: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4457, type, sK3962: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4458, type, sK3963: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4459, type, sK3964: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4460, type, sK3965: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4461, type, sK3966: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4462, type, sK3967: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 57.64/9.35 tff(func_def_4463, type, sK3968: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4464, type, sK3969: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4465, type, sK3970: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4466, type, sK3971: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4467, type, sK3972: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4468, type, sK3973: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4469, type, sK3974: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4470, type, sK3975: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.35 tff(func_def_4471, type, sK3976: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4472, type, sK3977: vEBT_VEBT > $o).
% 57.64/9.35 tff(func_def_4473, type, sK3978: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4474, type, sK3979: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4475, type, sK3980: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4476, type, sK3981: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4477, type, sK3982: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4478, type, sK3983: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4479, type, sK3984: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4480, type, sK3985: ($o * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4481, type, sK3986: ($o * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4482, type, sK3987: ($o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4483, type, sK3988: ($o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4484, type, sK3989: ($o * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4485, type, sK3990: ($o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4486, type, sK3991: ($o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4487, type, sK3992: ($o * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4488, type, sK3993: ($o * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4489, type, sK3994: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_4490, type, sK3995: (set(nat) * nat) > nat).
% 57.64/9.35 tff(func_def_4491, type, sK3996: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4492, type, sK3997: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4493, type, sK3998: (vEBT_VEBT * nat) > nat).
% 57.64/9.35 tff(func_def_4494, type, sK3999: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4495, type, sK4000: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4496, type, sK4001: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4497, type, sK4002: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4498, type, sK4003: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4499, type, sK4004: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.35 tff(func_def_4500, type, sK4005: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4501, type, sK4006: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4502, type, sK4007: vEBT_VEBT > nat).
% 57.64/9.35 tff(func_def_4503, type, sK4008: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4504, type, sK4009: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4505, type, sK4010: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4506, type, sK4011: (vEBT_VEBT * nat) > $o).
% 57.64/9.35 tff(func_def_4507, type, sK4012: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4508, type, sK4013: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4509, type, sK4014: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4510, type, sK4015: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4511, type, sK4016: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4512, type, sK4017: (nat * vEBT_VEBT) > nat).
% 57.64/9.35 tff(func_def_4513, type, sK4018: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.35 tff(func_def_4514, type, sK4019: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.35 tff(func_def_4515, type, sK4020: (nat * vEBT_VEBT) > $o).
% 57.64/9.35 tff(func_def_4516, type, sK4021: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4517, type, sK4022: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4518, type, sK4023: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4519, type, sK4024: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4520, type, sK4025: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4521, type, sK4026: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4522, type, sK4027: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4523, type, sK4028: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4524, type, sK4029: (set(nat) * nat) > nat).
% 57.64/9.36 tff(func_def_4525, type, sK4030: (set(nat) * nat) > nat).
% 57.64/9.36 tff(func_def_4526, type, sK4031: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.36 tff(func_def_4527, type, sK4032: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4528, type, sK4033: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4529, type, sK4034: fun(extended_enat,$o) > extended_enat).
% 57.64/9.36 tff(func_def_4530, type, sK4035: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4531, type, sK4036: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4532, type, sK4037: (nat * set(nat)) > nat).
% 57.64/9.36 tff(func_def_4533, type, sK4038: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4534, type, sK4039: !>[X0: $tType]:((set(filter(X0))) > set(filter(X0)))).
% 57.64/9.36 tff(func_def_4535, type, sK4040: fun(int,$o) > nat).
% 57.64/9.36 tff(func_def_4536, type, sK4041: fun(int,$o) > nat).
% 57.64/9.36 tff(func_def_4537, type, sK4042: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_4538, type, sK4043: fun(nat,nat) > nat).
% 57.64/9.36 tff(func_def_4539, type, sK4044: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4540, type, sK4045: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4541, type, sK4046: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4542, type, sK4047: (fun(nat,real) * real) > real).
% 57.64/9.36 tff(func_def_4543, type, sK4048: (fun(nat,real) * real) > nat).
% 57.64/9.36 tff(func_def_4544, type, sK4049: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4545, type, sK4050: (fun(nat,real) * fun(nat,real)) > real).
% 57.64/9.36 tff(func_def_4546, type, sK4051: (fun(nat,real) * fun(nat,real)) > nat).
% 57.64/9.36 tff(func_def_4547, type, sK4052: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4548, type, sK4053: fun(nat,real) > nat).
% 57.64/9.36 tff(func_def_4549, type, sK4054: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 57.64/9.36 tff(func_def_4550, type, sK4055: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4551, type, sK4056: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4552, type, sK4057: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 57.64/9.36 tff(func_def_4553, type, sK4058: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4554, type, sK4059: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 57.64/9.36 tff(func_def_4555, type, sK4060: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > option(X0))).
% 57.64/9.36 tff(func_def_4556, type, sK4061: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 57.64/9.36 tff(func_def_4557, type, sK4062: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4558, type, sK4063: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4559, type, sK4064: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 57.64/9.36 tff(func_def_4560, type, sK4065: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 57.64/9.36 tff(func_def_4561, type, sK4066: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 57.64/9.36 tff(func_def_4562, type, sK4067: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > option(X0))).
% 57.64/9.36 tff(func_def_4563, type, sK4068: fun(real,$o) > real).
% 57.64/9.36 tff(func_def_4564, type, sK4069: fun(real,$o) > real).
% 57.64/9.36 tff(func_def_4565, type, sK4070: fun(real,$o) > nat).
% 57.64/9.36 tff(func_def_4566, type, sK4071: fun(real,$o) > nat).
% 57.64/9.36 tff(func_def_4567, type, sK4072: fun(real,$o) > real).
% 57.64/9.36 tff(func_def_4568, type, sK4073: fun(real,$o) > real).
% 57.64/9.36 tff(func_def_4569, type, sK4074: (fun(nat,real) * fun(nat,real) * nat) > nat).
% 57.64/9.36 tff(func_def_4570, type, sK4075: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4571, type, sK4076: fun(num,$o) > num).
% 57.64/9.36 tff(func_def_4572, type, sK4077: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4573, type, sK4078: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4574, type, sK4079: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4575, type, sK4080: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_4576, type, sK4081: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_4577, type, sK4082: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4578, type, sK4083: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4579, type, sK4084: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4580, type, sK4085: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4581, type, sK4086: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4582, type, sK4087: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4583, type, sK4088: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4584, type, sK4089: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4585, type, sK4090: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4586, type, sK4091: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4587, type, sK4092: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(func_def_4588, type, sK4093: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(func_def_4589, type, sK4094: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4590, type, sK4095: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4591, type, sK4096: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4592, type, sK4097: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4593, type, sK4098: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_4594, type, sK4099: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4595, type, sK4100: (vEBT_VEBT * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4596, type, sK4101: (real * real) > real).
% 57.64/9.36 tff(func_def_4597, type, sK4102: (real * real) > rat).
% 57.64/9.36 tff(func_def_4598, type, sK4103: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4599, type, sK4104: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4600, type, sK4105: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4601, type, sK4106: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4602, type, sK4107: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4603, type, sK4108: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_4604, type, sK4109: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_4605, type, sK4110: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_4606, type, sK4111: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_4607, type, sK4112: (real * real) > nat).
% 57.64/9.36 tff(func_def_4608, type, sK4113: (real * real) > nat).
% 57.64/9.36 tff(func_def_4609, type, sK4114: (real * nat) > real).
% 57.64/9.36 tff(func_def_4610, type, sK4115: (real * nat) > real).
% 57.64/9.36 tff(func_def_4611, type, sK4116: (real * nat) > real).
% 57.64/9.36 tff(func_def_4612, type, sK4117: (real * real) > real).
% 57.64/9.36 tff(func_def_4613, type, sK4118: (real * real) > real).
% 57.64/9.36 tff(func_def_4614, type, sK4119: (real * real) > nat).
% 57.64/9.36 tff(func_def_4615, type, sK4120: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_4616, type, sK4121: (nat * real) > real).
% 57.64/9.36 tff(func_def_4617, type, sK4122: (nat * real) > real).
% 57.64/9.36 tff(func_def_4618, type, sK4123: (nat * real) > real).
% 57.64/9.36 tff(func_def_4619, type, sK4124: (nat * real) > real).
% 57.64/9.36 tff(func_def_4620, type, sK4125: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4621, type, sK4126: nat > nat).
% 57.64/9.36 tff(func_def_4622, type, sK4127: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4623, type, sK4128: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4624, type, sK4129: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4625, type, sK4130: !>[X0: $tType]:((list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4626, type, sK4131: !>[X0: $tType]:((list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4627, type, sK4132: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 57.64/9.36 tff(func_def_4628, type, sK4133: (set(nat) * nat) > nat).
% 57.64/9.36 tff(func_def_4629, type, sK4134: (set(nat) * nat) > nat).
% 57.64/9.36 tff(func_def_4630, type, sK4135: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.36 tff(func_def_4631, type, sK4136: !>[X0: $tType]:((list(X0)) > nat)).
% 57.64/9.36 tff(func_def_4632, type, sK4137: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4633, type, sK4138: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4634, type, sK4139: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4635, type, sK4140: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4636, type, sK4141: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4637, type, sK4142: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4638, type, sK4143: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4639, type, sK4144: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4640, type, sK4145: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4641, type, sK4146: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4642, type, sK4147: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4643, type, sK4148: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4644, type, sK4149: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4645, type, sK4150: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4646, type, sK4151: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4647, type, sK4152: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4648, type, sK4153: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4649, type, sK4154: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4650, type, sK4155: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4651, type, sK4156: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4652, type, sK4157: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4653, type, sK4158: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4654, type, sK4159: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4655, type, sK4160: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4656, type, sK4161: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4657, type, sK4162: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4658, type, sK4163: (nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4659, type, sK4164: (nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4660, type, sK4165: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4661, type, sK4166: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4662, type, sK4167: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4663, type, sK4168: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4664, type, sK4169: (list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4665, type, sK4170: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4666, type, sK4171: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.36 tff(func_def_4667, type, sK4172: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4668, type, sK4173: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4669, type, sK4174: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4670, type, sK4175: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4671, type, sK4176: (list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_4672, type, sK4177: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4673, type, sK4178: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.36 tff(func_def_4674, type, sK4179: !>[X0: $tType]:((set(X0)) > nat)).
% 57.64/9.36 tff(func_def_4675, type, sK4180: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 57.64/9.36 tff(func_def_4676, type, sK4181: !>[X0: $tType]:((option(X0)) > X0)).
% 57.64/9.36 tff(func_def_4677, type, sK4182: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4678, type, sK4183: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4679, type, sK4184: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4680, type, sK4185: (int * int) > int).
% 57.64/9.36 tff(func_def_4681, type, sK4186: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4682, type, sK4187: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4683, type, sK4188: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 57.64/9.36 tff(func_def_4684, type, sK4189: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4685, type, sK4190: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4686, type, sK4191: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4687, type, sK4192: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4688, type, sK4193: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_4689, type, sK4194: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4690, type, sK4195: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4691, type, sK4196: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4692, type, sK4197: !>[X0: $tType]:((set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4693, type, sK4198: !>[X0: $tType]:((option(X0)) > X0)).
% 57.64/9.36 tff(func_def_4694, type, sK4199: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4695, type, sK4200: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4696, type, sK4201: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4697, type, sK4202: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4698, type, sK4203: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4699, type, sK4204: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4700, type, sK4205: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4701, type, sK4206: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4702, type, sK4207: !>[X0: $tType]:((fun(option(X0),$o)) > X0)).
% 57.64/9.36 tff(func_def_4703, type, sK4208: !>[X0: $tType]:((fun(option(X0),$o)) > option(X0))).
% 57.64/9.36 tff(func_def_4704, type, sK4209: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4705, type, sK4210: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4706, type, sK4211: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4707, type, sK4212: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4708, type, sK4213: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4709, type, sK4214: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4710, type, sK4215: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_4711, type, sK4216: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_4712, type, sK4217: !>[X0: $tType]:((fun(option(X0),$o)) > option(X0))).
% 57.64/9.36 tff(func_def_4713, type, sK4218: !>[X0: $tType]:((fun(option(X0),$o)) > X0)).
% 57.64/9.36 tff(func_def_4714, type, sK4219: (set(int) * int) > int).
% 57.64/9.36 tff(func_def_4715, type, sK4220: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 57.64/9.36 tff(func_def_4716, type, sK4221: (int * int) > nat).
% 57.64/9.36 tff(func_def_4717, type, sK4222: (int * int) > nat).
% 57.64/9.36 tff(func_def_4718, type, sK4223: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4719, type, sK4224: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4720, type, sK4225: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4721, type, sK4226: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4722, type, sK4227: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > fun(nat,fun(X0,X0)))).
% 57.64/9.36 tff(func_def_4723, type, sK4228: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 57.64/9.36 tff(func_def_4724, type, sK4229: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 57.64/9.36 tff(func_def_4725, type, sK4230: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > X0)).
% 57.64/9.36 tff(func_def_4726, type, sK4231: !>[X0: $tType]:((nat) > list(X0))).
% 57.64/9.36 tff(func_def_4727, type, sK4232: (real * nat) > real).
% 57.64/9.36 tff(func_def_4728, type, sK4233: (real * nat) > real).
% 57.64/9.36 tff(func_def_4729, type, sK4234: (real * nat) > real).
% 57.64/9.36 tff(func_def_4730, type, sK4235: (real * nat) > real).
% 57.64/9.36 tff(func_def_4731, type, sK4236: (int * int) > int).
% 57.64/9.36 tff(func_def_4732, type, sK4237: (int * int) > int).
% 57.64/9.36 tff(func_def_4733, type, sK4238: (real * real) > real).
% 57.64/9.36 tff(func_def_4734, type, sK4239: (real * real) > real).
% 57.64/9.36 tff(func_def_4735, type, sK4240: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4736, type, sK4241: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4737, type, sK4242: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4738, type, sK4243: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4739, type, sK4244: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4740, type, sK4245: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4741, type, sK4246: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4742, type, sK4247: (nat * nat) > nat).
% 57.64/9.36 tff(func_def_4743, type, sK4248: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X2,fun(X1,X0)) * filter(X2)) > X1)).
% 57.64/9.36 tff(func_def_4744, type, sK4249: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * fun(X2,X0)) > X2)).
% 57.64/9.36 tff(func_def_4745, type, sK4250: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_4746, type, sK4251: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_4747, type, sK4252: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X2)).
% 57.64/9.36 tff(func_def_4748, type, sK4253: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_4749, type, sK4254: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 57.64/9.36 tff(func_def_4750, type, sK4255: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4751, type, sK4256: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 57.64/9.36 tff(func_def_4752, type, sK4257: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4753, type, sK4258: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_4754, type, sK4259: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4755, type, sK4260: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4756, type, sK4261: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4757, type, sK4262: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4758, type, sK4263: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4759, type, sK4264: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4760, type, sK4265: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4761, type, sK4266: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_4762, type, sK4267: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4763, type, sK4268: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4764, type, sK4269: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_4765, type, sK4270: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4766, type, sK4271: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4767, type, sK4272: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4768, type, sK4273: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4769, type, sK4274: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4770, type, sK4275: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_4771, type, sK4276: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 57.64/9.36 tff(func_def_4772, type, sK4277: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_4773, type, sK4278: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 57.64/9.36 tff(func_def_4774, type, sK4279: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 57.64/9.36 tff(func_def_4775, type, sK4280: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 57.64/9.36 tff(func_def_4776, type, sK4281: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 57.64/9.36 tff(func_def_4777, type, sK4282: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4778, type, sK4283: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4779, type, sK4284: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 57.64/9.36 tff(func_def_4780, type, sK4285: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_4781, type, sK4286: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_4782, type, sK4287: !>[X0: $tType]:((set(X0) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_4783, type, sK4288: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 57.64/9.36 tff(func_def_4784, type, sK4289: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_4785, type, sK4290: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4786, type, sK4291: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_4787, type, sK4292: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_4788, type, sK4293: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_4789, type, sK4294: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_4790, type, sK4295: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4791, type, sK4296: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4792, type, sK4297: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4793, type, sK4298: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4794, type, sK4299: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4795, type, sK4300: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4796, type, sK4301: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4797, type, sK4302: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4798, type, sK4303: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4799, type, sK4304: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4800, type, sK4305: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4801, type, sK4306: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.36 tff(func_def_4802, type, sK4307: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 57.64/9.36 tff(func_def_4803, type, sK4308: !>[X0: $tType]:((set(set(X0)) * nat) > set(X0))).
% 57.64/9.36 tff(func_def_4804, type, sK4309: (int * int * product_prod(int,int)) > int).
% 57.64/9.36 tff(func_def_4805, type, sK4310: (int * int * product_prod(int,int)) > int).
% 57.64/9.36 tff(func_def_4806, type, sK4311: (int * int * product_prod(int,int)) > int).
% 57.64/9.36 tff(func_def_4807, type, sK4312: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4808, type, sK4313: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4809, type, sK4314: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_4810, type, sK4315: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4811, type, sK4316: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_4812, type, sK4317: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_4813, type, sK4318: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4814, type, sK4319: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4815, type, sK4320: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4816, type, sK4321: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4817, type, sK4322: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4818, type, sK4323: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4819, type, sK4324: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4820, type, sK4325: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4821, type, sK4326: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4822, type, sK4327: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4823, type, sK4328: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4824, type, sK4329: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4825, type, sK4330: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4826, type, sK4331: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4827, type, sK4332: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4828, type, sK4333: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4829, type, sK4334: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4830, type, sK4335: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4831, type, sK4336: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4832, type, sK4337: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4833, type, sK4338: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4834, type, sK4339: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4835, type, sK4340: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4836, type, sK4341: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4837, type, sK4342: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4838, type, sK4343: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4839, type, sK4344: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4840, type, sK4345: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4841, type, sK4346: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4842, type, sK4347: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4843, type, sK4348: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4844, type, sK4349: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4845, type, sK4350: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4846, type, sK4351: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4847, type, sK4352: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4848, type, sK4353: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4849, type, sK4354: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4850, type, sK4355: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4851, type, sK4356: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4852, type, sK4357: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4853, type, sK4358: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4854, type, sK4359: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4855, type, sK4360: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4856, type, sK4361: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4857, type, sK4362: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4858, type, sK4363: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4859, type, sK4364: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4860, type, sK4365: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4861, type, sK4366: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4862, type, sK4367: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4863, type, sK4368: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4864, type, sK4369: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4865, type, sK4370: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4866, type, sK4371: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4867, type, sK4372: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4868, type, sK4373: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4869, type, sK4374: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4870, type, sK4375: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4871, type, sK4376: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4872, type, sK4377: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4873, type, sK4378: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4874, type, sK4379: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4875, type, sK4380: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4876, type, sK4381: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4877, type, sK4382: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4878, type, sK4383: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4879, type, sK4384: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4880, type, sK4385: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4881, type, sK4386: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4882, type, sK4387: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4883, type, sK4388: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4884, type, sK4389: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4885, type, sK4390: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4886, type, sK4391: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4887, type, sK4392: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4888, type, sK4393: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4889, type, sK4394: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4890, type, sK4395: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4891, type, sK4396: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4892, type, sK4397: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4893, type, sK4398: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4894, type, sK4399: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4895, type, sK4400: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4896, type, sK4401: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4897, type, sK4402: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4898, type, sK4403: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4899, type, sK4404: nat > nat).
% 57.64/9.36 tff(func_def_4900, type, sK4405: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4901, type, sK4406: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4902, type, sK4407: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4903, type, sK4408: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4904, type, sK4409: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4905, type, sK4410: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4906, type, sK4411: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4907, type, sK4412: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4908, type, sK4413: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4909, type, sK4414: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4910, type, sK4415: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4911, type, sK4416: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4912, type, sK4417: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4913, type, sK4418: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4914, type, sK4419: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4915, type, sK4420: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4916, type, sK4421: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4917, type, sK4422: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4918, type, sK4423: nat > nat).
% 57.64/9.36 tff(func_def_4919, type, sK4424: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4920, type, sK4425: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4921, type, sK4426: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4922, type, sK4427: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4923, type, sK4428: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4924, type, sK4429: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4925, type, sK4430: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4926, type, sK4431: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4927, type, sK4432: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4928, type, sK4433: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4929, type, sK4434: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4930, type, sK4435: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4931, type, sK4436: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4932, type, sK4437: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4933, type, sK4438: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4934, type, sK4439: (nat * nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4935, type, sK4440: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4936, type, sK4441: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4937, type, sK4442: (nat * nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4938, type, sK4443: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4939, type, sK4444: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4940, type, sK4445: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4941, type, sK4446: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4942, type, sK4447: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4943, type, sK4448: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4944, type, sK4449: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4945, type, sK4450: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4946, type, sK4451: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4947, type, sK4452: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4948, type, sK4453: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4949, type, sK4454: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4950, type, sK4455: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4951, type, sK4456: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4952, type, sK4457: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4953, type, sK4458: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4954, type, sK4459: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4955, type, sK4460: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4956, type, sK4461: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4957, type, sK4462: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4958, type, sK4463: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4959, type, sK4464: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4960, type, sK4465: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4961, type, sK4466: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4962, type, sK4467: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4963, type, sK4468: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4964, type, sK4469: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4965, type, sK4470: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4966, type, sK4471: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4967, type, sK4472: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4968, type, sK4473: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4969, type, sK4474: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_4970, type, sK4475: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4971, type, sK4476: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4972, type, sK4477: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4973, type, sK4478: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4974, type, sK4479: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4975, type, sK4480: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4976, type, sK4481: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4977, type, sK4482: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_4978, type, sK4483: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4979, type, sK4484: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_4980, type, sK4485: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4981, type, sK4486: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4982, type, sK4487: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4983, type, sK4488: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4984, type, sK4489: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4985, type, sK4490: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4986, type, sK4491: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4987, type, sK4492: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4988, type, sK4493: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_4989, type, sK4494: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4990, type, sK4495: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4991, type, sK4496: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4992, type, sK4497: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_4993, type, sK4498: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4994, type, sK4499: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4995, type, sK4500: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_4996, type, sK4501: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_4997, type, sK4502: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_4998, type, sK4503: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_4999, type, sK4504: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5000, type, sK4505: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5001, type, sK4506: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5002, type, sK4507: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5003, type, sK4508: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5004, type, sK4509: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5005, type, sK4510: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5006, type, sK4511: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5007, type, sK4512: nat > nat).
% 57.64/9.36 tff(func_def_5008, type, sK4513: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5009, type, sK4514: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5010, type, sK4515: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5011, type, sK4516: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5012, type, sK4517: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5013, type, sK4518: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5014, type, sK4519: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5015, type, sK4520: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5016, type, sK4521: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5017, type, sK4522: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5018, type, sK4523: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5019, type, sK4524: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5020, type, sK4525: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5021, type, sK4526: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5022, type, sK4527: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5023, type, sK4528: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5024, type, sK4529: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5025, type, sK4530: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5026, type, sK4531: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5027, type, sK4532: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5028, type, sK4533: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5029, type, sK4534: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5030, type, sK4535: nat > nat).
% 57.64/9.36 tff(func_def_5031, type, sK4536: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5032, type, sK4537: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5033, type, sK4538: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5034, type, sK4539: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5035, type, sK4540: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5036, type, sK4541: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5037, type, sK4542: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5038, type, sK4543: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5039, type, sK4544: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5040, type, sK4545: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5041, type, sK4546: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5042, type, sK4547: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5043, type, sK4548: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5044, type, sK4549: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5045, type, sK4550: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5046, type, sK4551: (nat * nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5047, type, sK4552: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5048, type, sK4553: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5049, type, sK4554: (nat * nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5050, type, sK4555: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5051, type, sK4556: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5052, type, sK4557: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5053, type, sK4558: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5054, type, sK4559: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5055, type, sK4560: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5056, type, sK4561: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5057, type, sK4562: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5058, type, sK4563: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5059, type, sK4564: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5060, type, sK4565: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5061, type, sK4566: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5062, type, sK4567: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5063, type, sK4568: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5064, type, sK4569: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5065, type, sK4570: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5066, type, sK4571: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5067, type, sK4572: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5068, type, sK4573: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5069, type, sK4574: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5070, type, sK4575: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5071, type, sK4576: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5072, type, sK4577: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5073, type, sK4578: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5074, type, sK4579: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5075, type, sK4580: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5076, type, sK4581: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5077, type, sK4582: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5078, type, sK4583: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5079, type, sK4584: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5080, type, sK4585: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5081, type, sK4586: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5082, type, sK4587: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5083, type, sK4588: (nat * nat * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5084, type, sK4589: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5085, type, sK4590: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5086, type, sK4591: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5087, type, sK4592: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5088, type, sK4593: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5089, type, sK4594: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5090, type, sK4595: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5091, type, sK4596: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5092, type, sK4597: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5093, type, sK4598: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5094, type, sK4599: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5095, type, sK4600: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5096, type, sK4601: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5097, type, sK4602: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5098, type, sK4603: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5099, type, sK4604: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5100, type, sK4605: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5101, type, sK4606: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5102, type, sK4607: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5103, type, sK4608: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5104, type, sK4609: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5105, type, sK4610: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5106, type, sK4611: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5107, type, sK4612: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5108, type, sK4613: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5109, type, sK4614: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5110, type, sK4615: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5111, type, sK4616: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5112, type, sK4617: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5113, type, sK4618: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5114, type, sK4619: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5115, type, sK4620: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5116, type, sK4621: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5117, type, sK4622: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5118, type, sK4623: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5119, type, sK4624: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5120, type, sK4625: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5121, type, sK4626: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5122, type, sK4627: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5123, type, sK4628: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5124, type, sK4629: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5125, type, sK4630: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5126, type, sK4631: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5127, type, sK4632: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5128, type, sK4633: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5129, type, sK4634: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5130, type, sK4635: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5131, type, sK4636: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5132, type, sK4637: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5133, type, sK4638: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5134, type, sK4639: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5135, type, sK4640: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5136, type, sK4641: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5137, type, sK4642: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5138, type, sK4643: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5139, type, sK4644: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5140, type, sK4645: nat > nat).
% 57.64/9.36 tff(func_def_5141, type, sK4646: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5142, type, sK4647: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5143, type, sK4648: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5144, type, sK4649: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5145, type, sK4650: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5146, type, sK4651: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5147, type, sK4652: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5148, type, sK4653: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5149, type, sK4654: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5150, type, sK4655: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5151, type, sK4656: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5152, type, sK4657: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5153, type, sK4658: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5154, type, sK4659: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5155, type, sK4660: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5156, type, sK4661: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5157, type, sK4662: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5158, type, sK4663: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5159, type, sK4664: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5160, type, sK4665: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5161, type, sK4666: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5162, type, sK4667: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5163, type, sK4668: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5164, type, sK4669: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5165, type, sK4670: (nat * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5166, type, sK4671: (nat * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5167, type, sK4672: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5168, type, sK4673: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5169, type, sK4674: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5170, type, sK4675: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5171, type, sK4676: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5172, type, sK4677: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5173, type, sK4678: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5174, type, sK4679: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5175, type, sK4680: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5176, type, sK4681: (vEBT_VEBT * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5177, type, sK4682: (vEBT_VEBT * nat * nat) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5178, type, sK4683: (vEBT_VEBT * nat * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5179, type, sK4684: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5180, type, sK4685: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5181, type, sK4686: num > num).
% 57.64/9.36 tff(func_def_5182, type, sK4687: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5183, type, sK4688: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5184, type, sK4689: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5185, type, sK4690: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5186, type, sK4691: num > num).
% 57.64/9.36 tff(func_def_5187, type, sK4692: (num * num) > num).
% 57.64/9.36 tff(func_def_5188, type, sK4693: (num * num) > num).
% 57.64/9.36 tff(func_def_5189, type, sK4694: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5190, type, sK4695: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5191, type, sK4696: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5192, type, sK4697: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5193, type, sK4698: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5194, type, sK4699: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5195, type, sK4700: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5196, type, sK4701: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5197, type, sK4702: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5198, type, sK4703: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5199, type, sK4704: (num * num) > num).
% 57.64/9.36 tff(func_def_5200, type, sK4705: (num * num) > num).
% 57.64/9.36 tff(func_def_5201, type, sK4706: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5202, type, sK4707: (num * num * num) > num).
% 57.64/9.36 tff(func_def_5203, type, sK4708: (vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5204, type, sK4709: (vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5205, type, sK4710: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5206, type, sK4711: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5207, type, sK4712: (vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5208, type, sK4713: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5209, type, sK4714: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5210, type, sK4715: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5211, type, sK4716: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5212, type, sK4717: nat > nat).
% 57.64/9.36 tff(func_def_5213, type, sK4718: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5214, type, sK4719: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5215, type, sK4720: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5216, type, sK4721: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5217, type, sK4722: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5218, type, sK4723: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5219, type, sK4724: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5220, type, sK4725: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5221, type, sK4726: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5222, type, sK4727: (vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5223, type, sK4728: (vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5224, type, sK4729: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5225, type, sK4730: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5226, type, sK4731: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5227, type, sK4732: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5228, type, sK4733: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5229, type, sK4734: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5230, type, sK4735: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5231, type, sK4736: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5232, type, sK4737: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5233, type, sK4738: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5234, type, sK4739: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5235, type, sK4740: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5236, type, sK4741: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5237, type, sK4742: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5238, type, sK4743: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5239, type, sK4744: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5240, type, sK4745: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5241, type, sK4746: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5242, type, sK4747: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5243, type, sK4748: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5244, type, sK4749: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5245, type, sK4750: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5246, type, sK4751: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5247, type, sK4752: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5248, type, sK4753: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5249, type, sK4754: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5250, type, sK4755: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5251, type, sK4756: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5252, type, sK4757: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5253, type, sK4758: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5254, type, sK4759: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5255, type, sK4760: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5256, type, sK4761: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5257, type, sK4762: nat > nat).
% 57.64/9.36 tff(func_def_5258, type, sK4763: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5259, type, sK4764: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5260, type, sK4765: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5261, type, sK4766: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5262, type, sK4767: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5263, type, sK4768: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5264, type, sK4769: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5265, type, sK4770: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5266, type, sK4771: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5267, type, sK4772: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5268, type, sK4773: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5269, type, sK4774: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5270, type, sK4775: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5271, type, sK4776: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5272, type, sK4777: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5273, type, sK4778: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5274, type, sK4779: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5275, type, sK4780: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5276, type, sK4781: nat > nat).
% 57.64/9.36 tff(func_def_5277, type, sK4782: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5278, type, sK4783: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5279, type, sK4784: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5280, type, sK4785: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5281, type, sK4786: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5282, type, sK4787: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5283, type, sK4788: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5284, type, sK4789: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5285, type, sK4790: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5286, type, sK4791: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5287, type, sK4792: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5288, type, sK4793: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5289, type, sK4794: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5290, type, sK4795: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5291, type, sK4796: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5292, type, sK4797: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5293, type, sK4798: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5294, type, sK4799: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5295, type, sK4800: (nat * option(nat) * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5296, type, sK4801: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5297, type, sK4802: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5298, type, sK4803: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5299, type, sK4804: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5300, type, sK4805: (option(nat) * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5301, type, sK4806: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5302, type, sK4807: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5303, type, sK4808: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5304, type, sK4809: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5305, type, sK4810: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5306, type, sK4811: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5307, type, sK4812: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5308, type, sK4813: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5309, type, sK4814: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5310, type, sK4815: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5311, type, sK4816: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5312, type, sK4817: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5313, type, sK4818: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5314, type, sK4819: (nat * option(nat) * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5315, type, sK4820: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5316, type, sK4821: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5317, type, sK4822: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5318, type, sK4823: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5319, type, sK4824: (option(nat) * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5320, type, sK4825: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5321, type, sK4826: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5322, type, sK4827: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5323, type, sK4828: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5324, type, sK4829: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5325, type, sK4830: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5326, type, sK4831: (vEBT_VEBT * nat * option(nat)) > nat).
% 57.64/9.36 tff(func_def_5327, type, sK4832: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5328, type, sK4833: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5329, type, sK4834: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5330, type, sK4835: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5331, type, sK4836: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5332, type, sK4837: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5333, type, sK4838: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5334, type, sK4839: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5335, type, sK4840: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5336, type, sK4841: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5337, type, sK4842: num > num).
% 57.64/9.36 tff(func_def_5338, type, sK4843: num > num).
% 57.64/9.36 tff(func_def_5339, type, sK4844: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5340, type, sK4845: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5341, type, sK4846: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5342, type, sK4847: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5343, type, sK4848: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5344, type, sK4849: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5345, type, sK4850: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5346, type, sK4851: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5347, type, sK4852: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5348, type, sK4853: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5349, type, sK4854: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5350, type, sK4855: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5351, type, sK4856: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5352, type, sK4857: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5353, type, sK4858: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 57.64/9.36 tff(func_def_5354, type, sK4859: !>[X0: $tType]:((fun(X0,X0) * X0) > nat)).
% 57.64/9.36 tff(func_def_5355, type, sK4860: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 57.64/9.36 tff(func_def_5356, type, sK4861: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 57.64/9.36 tff(func_def_5357, type, sK4862: !>[X0: $tType]:((set(filter(X0)) * fun(X0,$o)) > filter(X0))).
% 57.64/9.36 tff(func_def_5358, type, sK4863: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 57.64/9.36 tff(func_def_5359, type, sK4864: !>[X0: $tType]:((product_prod(X0,X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5360, type, sK4865: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5361, type, sK4866: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5362, type, sK4867: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5363, type, sK4868: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5364, type, sK4869: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5365, type, sK4870: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5366, type, sK4871: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5367, type, sK4872: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5368, type, sK4873: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5369, type, sK4874: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5370, type, sK4875: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5371, type, sK4876: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5372, type, sK4877: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5373, type, sK4878: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5374, type, sK4879: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5375, type, sK4880: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5376, type, sK4881: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 57.64/9.36 tff(func_def_5377, type, sK4882: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 57.64/9.36 tff(func_def_5378, type, sK4883: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5379, type, sK4884: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5380, type, sK4885: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5381, type, sK4886: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5382, type, sK4887: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5383, type, sK4888: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5384, type, sK4889: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5385, type, sK4890: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5386, type, sK4891: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5387, type, sK4892: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5388, type, sK4893: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5389, type, sK4894: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5390, type, sK4895: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5391, type, sK4896: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5392, type, sK4897: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5393, type, sK4898: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5394, type, sK4899: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5395, type, sK4900: num > num).
% 57.64/9.36 tff(func_def_5396, type, sK4901: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5397, type, sK4902: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5398, type, sK4903: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5399, type, sK4904: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5400, type, sK4905: num > num).
% 57.64/9.36 tff(func_def_5401, type, sK4906: num > num).
% 57.64/9.36 tff(func_def_5402, type, sK4907: num > num).
% 57.64/9.36 tff(func_def_5403, type, sK4908: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5404, type, sK4909: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5405, type, sK4910: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5406, type, sK4911: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5407, type, sK4912: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5408, type, sK4913: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5409, type, sK4914: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5410, type, sK4915: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5411, type, sK4916: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5412, type, sK4917: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5413, type, sK4918: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5414, type, sK4919: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5415, type, sK4920: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5416, type, sK4921: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5417, type, sK4922: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5418, type, sK4923: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5419, type, sK4924: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5420, type, sK4925: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5421, type, sK4926: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5422, type, sK4927: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5423, type, sK4928: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5424, type, sK4929: (option(num) * num * num) > num).
% 57.64/9.36 tff(func_def_5425, type, sK4930: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5426, type, sK4931: (option(num) * num) > num).
% 57.64/9.36 tff(func_def_5427, type, sK4932: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5428, type, sK4933: (num * num * option(num)) > num).
% 57.64/9.36 tff(func_def_5429, type, sK4934: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5430, type, sK4935: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2)) > X1)).
% 57.64/9.36 tff(func_def_5431, type, sK4936: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1))) > X0)).
% 57.64/9.36 tff(func_def_5432, type, sK4937: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * real) > X1)).
% 57.64/9.36 tff(func_def_5433, type, sK4938: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > X1)).
% 57.64/9.36 tff(func_def_5434, type, sK4939: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1) > X2)).
% 57.64/9.36 tff(func_def_5435, type, sK4940: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1) > X2)).
% 57.64/9.36 tff(func_def_5436, type, sK4941: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_5437, type, sK4942: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_5438, type, sK4943: !>[X0: $tType]:((list(list(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5439, type, sK4944: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5440, type, sK4945: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5441, type, sK4946: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5442, type, sK4947: (vEBT_VEBT * nat * $o) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5443, type, sK4948: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5444, type, sK4949: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5445, type, sK4950: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5446, type, sK4951: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5447, type, sK4952: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5448, type, sK4953: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5449, type, sK4954: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5450, type, sK4955: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5451, type, sK4956: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5452, type, sK4957: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5453, type, sK4958: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5454, type, sK4959: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5455, type, sK4960: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5456, type, sK4961: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5457, type, sK4962: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5458, type, sK4963: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5459, type, sK4964: vEBT_VEBT > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5460, type, sK4965: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5461, type, sK4966: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5462, type, sK4967: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5463, type, sK4968: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5464, type, sK4969: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5465, type, sK4970: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5466, type, sK4971: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 57.64/9.36 tff(func_def_5467, type, sK4972: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5468, type, sK4973: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5469, type, sK4974: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5470, type, sK4975: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5471, type, sK4976: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5472, type, sK4977: vEBT_VEBT > $o).
% 57.64/9.36 tff(func_def_5473, type, sK4978: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5474, type, sK4979: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5475, type, sK4980: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5476, type, sK4981: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5477, type, sK4982: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5478, type, sK4983: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5479, type, sK4984: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5480, type, sK4985: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5481, type, sK4986: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5482, type, sK4987: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5483, type, sK4988: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5484, type, sK4989: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5485, type, sK4990: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5486, type, sK4991: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5487, type, sK4992: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5488, type, sK4993: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5489, type, sK4994: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5490, type, sK4995: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5491, type, sK4996: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5492, type, sK4997: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5493, type, sK4998: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5494, type, sK4999: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5495, type, sK5000: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5496, type, sK5001: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5497, type, sK5002: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5498, type, sK5003: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5499, type, sK5004: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5500, type, sK5005: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5501, type, sK5006: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5502, type, sK5007: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5503, type, sK5008: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_5504, type, sK5009: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5505, type, sK5010: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5506, type, sK5011: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5507, type, sK5012: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5508, type, sK5013: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5509, type, sK5014: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5510, type, sK5015: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5511, type, sK5016: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5512, type, sK5017: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5513, type, sK5018: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5514, type, sK5019: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5515, type, sK5020: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5516, type, sK5021: vEBT_VEBT > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5517, type, sK5022: vEBT_VEBT > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5518, type, sK5023: vEBT_VEBT > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5519, type, sK5024: (nat * $o * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5520, type, sK5025: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5521, type, sK5026: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5522, type, sK5027: (nat * $o * vEBT_VEBT) > product_prod(nat,nat)).
% 57.64/9.36 tff(func_def_5523, type, sK5028: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5524, type, sK5029: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5525, type, sK5030: (nat * $o * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5526, type, sK5031: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5527, type, sK5032: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5528, type, sK5033: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5529, type, sK5034: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(func_def_5530, type, sK5035: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5531, type, sK5036: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5532, type, sK5037: (vEBT_VEBT * nat * $o) > nat).
% 57.64/9.36 tff(func_def_5533, type, sK5038: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 57.64/9.36 tff(func_def_5534, type, sK5039: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5535, type, sK5040: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5536, type, sK5041: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5537, type, sK5042: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,$o))).
% 57.64/9.36 tff(func_def_5538, type, sK5043: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5539, type, sK5044: !>[X0: $tType]:((set(set(X0)) * set(set(X0))) > set(X0))).
% 57.64/9.36 tff(func_def_5540, type, sK5045: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5541, type, sK5046: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5542, type, sK5047: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5543, type, sK5048: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_5544, type, sK5049: !>[X0: $tType]:((list(X0) * fun(X0,X0)) > X0)).
% 57.64/9.36 tff(func_def_5545, type, sK5050: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5546, type, sK5051: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5547, type, sK5052: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5548, type, sK5053: (real * fun(nat,real)) > real).
% 57.64/9.36 tff(func_def_5549, type, sK5054: !>[X0: $tType]:((list(list(X0)) * nat) > list(X0))).
% 57.64/9.36 tff(func_def_5550, type, sK5055: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 57.64/9.36 tff(func_def_5551, type, sK5056: !>[X0: $tType]:((fun(list(X0),$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5552, type, sK5057: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5553, type, sK5058: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5554, type, sK5059: (real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5555, type, sK5060: (real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5556, type, sK5061: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5557, type, sK5062: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5558, type, sK5063: (nat * fun(nat,int) * int) > nat).
% 57.64/9.36 tff(func_def_5559, type, sK5064: (nat * fun(nat,int)) > nat).
% 57.64/9.36 tff(func_def_5560, type, sK5065: (nat * fun(nat,int) * int) > nat).
% 57.64/9.36 tff(func_def_5561, type, sK5066: (nat * fun(nat,int)) > nat).
% 57.64/9.36 tff(func_def_5562, type, sK5067: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5563, type, sK5068: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 57.64/9.36 tff(func_def_5564, type, sK5069: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5565, type, sK5070: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5566, type, sK5071: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5567, type, sK5072: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5568, type, sK5073: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5569, type, sK5074: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5570, type, sK5075: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5571, type, sK5076: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5572, type, sK5077: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5573, type, sK5078: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5574, type, sK5079: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5575, type, sK5080: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 57.64/9.36 tff(func_def_5576, type, sK5081: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 57.64/9.36 tff(func_def_5577, type, sK5082: fun(nat,nat) > nat).
% 57.64/9.36 tff(func_def_5578, type, sK5083: fun(nat,nat) > nat).
% 57.64/9.36 tff(func_def_5579, type, sK5084: fun(nat,nat) > nat).
% 57.64/9.36 tff(func_def_5580, type, sK5085: fun(nat,nat) > nat).
% 57.64/9.36 tff(func_def_5581, type, sK5086: (fun(nat,nat) * nat) > nat).
% 57.64/9.36 tff(func_def_5582, type, sK5087: (fun(nat,nat) * nat) > nat).
% 57.64/9.36 tff(func_def_5583, type, sK5088: (nat * fun(nat,nat)) > nat).
% 57.64/9.36 tff(func_def_5584, type, sK5089: (nat * fun(nat,nat)) > nat).
% 57.64/9.36 tff(func_def_5585, type, sK5090: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5586, type, sK5091: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5587, type, sK5092: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5588, type, sK5093: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5589, type, sK5094: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5590, type, sK5095: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5591, type, sK5096: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5592, type, sK5097: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5593, type, sK5098: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5594, type, sK5099: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5595, type, sK5100: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5596, type, sK5101: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5597, type, sK5102: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5598, type, sK5103: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5599, type, sK5104: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5600, type, sK5105: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5601, type, sK5106: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5602, type, sK5107: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5603, type, sK5108: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5604, type, sK5109: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5605, type, sK5110: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5606, type, sK5111: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5607, type, sK5112: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 57.64/9.36 tff(func_def_5608, type, sK5113: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o)))) > fun(nat,X0))).
% 57.64/9.36 tff(func_def_5609, type, sK5114: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o)))) > X0)).
% 57.64/9.36 tff(func_def_5610, type, sK5115: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o)))) > nat)).
% 57.64/9.36 tff(func_def_5611, type, sK5116: (fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5612, type, sK5117: (fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5613, type, sK5118: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_5614, type, sK5119: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5615, type, sK5120: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_5616, type, sK5121: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5617, type, sK5122: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5618, type, sK5123: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5619, type, sK5124: fun(nat,$o) > nat).
% 57.64/9.36 tff(func_def_5620, type, sK5125: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_5621, type, sK5126: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5622, type, sK5127: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5623, type, sK5128: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5624, type, sK5129: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5625, type, sK5130: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5626, type, sK5131: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5627, type, sK5132: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5628, type, sK5133: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5629, type, sK5134: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5630, type, sK5135: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5631, type, sK5136: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5632, type, sK5137: (real * real * real) > real).
% 57.64/9.36 tff(func_def_5633, type, sK5138: (real * real * real) > real).
% 57.64/9.36 tff(func_def_5634, type, sK5139: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5635, type, sK5140: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5636, type, sK5141: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5637, type, sK5142: (fun(real,real) * real * real * real) > real).
% 57.64/9.36 tff(func_def_5638, type, sK5143: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5639, type, sK5144: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5640, type, sK5145: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5641, type, sK5146: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5642, type, sK5147: fun(real,fun(real,$o)) > real).
% 57.64/9.36 tff(func_def_5643, type, sK5148: fun(real,fun(real,$o)) > real).
% 57.64/9.36 tff(func_def_5644, type, sK5149: fun(real,fun(real,$o)) > real).
% 57.64/9.36 tff(func_def_5645, type, sK5150: (fun(real,fun(real,$o)) * real * real) > real).
% 57.64/9.36 tff(func_def_5646, type, sK5151: (fun(real,fun(real,$o)) * real * real) > real).
% 57.64/9.36 tff(func_def_5647, type, sK5152: (real * real * fun(real,fun(real,$o))) > real).
% 57.64/9.36 tff(func_def_5648, type, sK5153: (nat * set(nat)) > nat).
% 57.64/9.36 tff(func_def_5649, type, sK5154: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5650, type, sK5155: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5651, type, sK5156: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5652, type, sK5157: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5653, type, sK5158: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5654, type, sK5159: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5655, type, sK5160: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5656, type, sK5161: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5657, type, sK5162: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5658, type, sK5163: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5659, type, sK5164: fun(nat,fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5660, type, sK5165: (nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5661, type, sK5166: (nat * nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5662, type, sK5167: (nat * nat * fun(nat,$o)) > nat).
% 57.64/9.36 tff(func_def_5663, type, sK5168: (fun(int,fun(int,$o)) * int * int) > int).
% 57.64/9.36 tff(func_def_5664, type, sK5169: (fun(int,fun(int,$o)) * int * int) > int).
% 57.64/9.36 tff(func_def_5665, type, sK5170: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5666, type, sK5171: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5667, type, sK5172: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5668, type, sK5173: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5669, type, sK5174: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5670, type, sK5175: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5671, type, sK5176: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5672, type, sK5177: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5673, type, sK5178: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5674, type, sK5179: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5675, type, sK5180: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5676, type, sK5181: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5677, type, sK5182: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5678, type, sK5183: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5679, type, sK5184: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5680, type, sK5185: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5681, type, sK5186: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5682, type, sK5187: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5683, type, sK5188: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_5684, type, sK5189: (fun(int,$o) * fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5685, type, sK5190: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5686, type, sK5191: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5687, type, sK5192: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_5688, type, sK5193: (fun(int,$o) * fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5689, type, sK5194: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5690, type, sK5195: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5691, type, sK5196: (fun(int,fun(int,$o)) * int * int) > int).
% 57.64/9.36 tff(func_def_5692, type, sK5197: (fun(int,fun(int,$o)) * int * int) > int).
% 57.64/9.36 tff(func_def_5693, type, sK5198: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5694, type, sK5199: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5695, type, sK5200: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5696, type, sK5201: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5697, type, sK5202: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5698, type, sK5203: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5699, type, sK5204: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5700, type, sK5205: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5701, type, sK5206: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5702, type, sK5207: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5703, type, sK5208: fun(int,fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5704, type, sK5209: fun(int,fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5705, type, sK5210: fun(int,fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5706, type, sK5211: fun(int,fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5707, type, sK5212: !>[X0: $tType]:((list(X0) * list(X0)) > product_prod(X0,X0))).
% 57.64/9.36 tff(func_def_5708, type, sK5213: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5709, type, sK5214: (nat * nat * set(nat)) > nat).
% 57.64/9.36 tff(func_def_5710, type, sK5215: (nat * nat * set(nat)) > nat).
% 57.64/9.36 tff(func_def_5711, type, sK5216: (int * int * product_prod(int,int)) > int).
% 57.64/9.36 tff(func_def_5712, type, sK5217: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5713, type, sK5218: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5714, type, sK5219: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5715, type, sK5220: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5716, type, sK5221: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5717, type, sK5222: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5718, type, sK5223: (product_prod(int,int) * int * int) > int).
% 57.64/9.36 tff(func_def_5719, type, sK5224: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5720, type, sK5225: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5721, type, sK5226: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5722, type, sK5227: (nat * nat * vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_5723, type, sK5228: !>[X0: $tType]:((list(X0) * list(X0) * fun(nat,nat)) > nat)).
% 57.64/9.36 tff(func_def_5724, type, sK5229: !>[X0: $tType]:((list(X0) * list(X0)) > fun(nat,nat))).
% 57.64/9.36 tff(func_def_5725, type, sK5230: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5726, type, sK5231: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5727, type, sK5232: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5728, type, sK5233: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5729, type, sK5234: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5730, type, sK5235: !>[X0: $tType]:((product_prod(X0,X0) * set(product_prod(X0,X0))) > nat)).
% 57.64/9.36 tff(func_def_5731, type, sK5236: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 57.64/9.36 tff(func_def_5732, type, sK5237: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5733, type, sK5238: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5734, type, sK5239: !>[X0: $tType]:((X0 * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5735, type, sK5240: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5736, type, sK5241: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5737, type, sK5242: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5738, type, sK5243: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5739, type, sK5244: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5740, type, sK5245: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5741, type, sK5246: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 57.64/9.36 tff(func_def_5742, type, sK5247: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 57.64/9.36 tff(func_def_5743, type, sK5248: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5744, type, sK5249: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5745, type, sK5250: !>[X0: $tType]:((fun(X0,$o) * set(filter(X0))) > set(filter(X0)))).
% 57.64/9.36 tff(func_def_5746, type, sK5251: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 57.64/9.36 tff(func_def_5747, type, sK5252: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 57.64/9.36 tff(func_def_5748, type, sK5253: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5749, type, sK5254: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5750, type, sK5255: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 57.64/9.36 tff(func_def_5751, type, sK5256: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 57.64/9.36 tff(func_def_5752, type, sK5257: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5753, type, sK5258: (int * int * int) > int).
% 57.64/9.36 tff(func_def_5754, type, sK5259: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_5755, type, sK5260: !>[X0: $tType]:((set(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5756, type, sK5261: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > nat)).
% 57.64/9.36 tff(func_def_5757, type, sK5262: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5758, type, sK5263: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5759, type, sK5264: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > X0)).
% 57.64/9.36 tff(func_def_5760, type, sK5265: !>[X0: $tType]:((nat * fun(nat,fun(X0,$o)) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5761, type, sK5266: !>[X0: $tType]:((nat * fun(nat,fun(X0,$o))) > list(X0))).
% 57.64/9.36 tff(func_def_5762, type, sK5267: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5763, type, sK5268: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5764, type, sK5269: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5765, type, sK5270: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5766, type, sK5271: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5767, type, sK5272: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5768, type, sK5273: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5769, type, sK5274: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5770, type, sK5275: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5771, type, sK5276: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5772, type, sK5277: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5773, type, sK5278: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5774, type, sK5279: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5775, type, sK5280: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5776, type, sK5281: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5777, type, sK5282: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5778, type, sK5283: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5779, type, sK5284: (fun(int,$o) * int * int) > int).
% 57.64/9.36 tff(func_def_5780, type, sK5285: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5781, type, sK5286: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5782, type, sK5287: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5783, type, sK5288: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5784, type, sK5289: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5785, type, sK5290: (fun(real,$o) * real * nat) > real).
% 57.64/9.36 tff(func_def_5786, type, sK5291: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 57.64/9.36 tff(func_def_5787, type, sK5292: !>[X0: $tType]:((set(filter(X0)) * filter(X0)) > filter(X0))).
% 57.64/9.36 tff(func_def_5788, type, sK5293: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5789, type, sK5294: (fun(nat,$o) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5790, type, sK5295: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,$o))).
% 57.64/9.36 tff(func_def_5791, type, sK5296: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5792, type, sK5297: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5793, type, sK5298: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5794, type, sK5299: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5795, type, sK5300: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5796, type, sK5301: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5797, type, sK5302: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5798, type, sK5303: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5799, type, sK5304: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_5800, type, sK5305: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 57.64/9.36 tff(func_def_5801, type, sK5306: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_5802, type, sK5307: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 57.64/9.36 tff(func_def_5803, type, sK5308: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5804, type, sK5309: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5805, type, sK5310: (fun(real,real) * real) > real).
% 57.64/9.36 tff(func_def_5806, type, sK5311: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5807, type, sK5312: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_5808, type, sK5313: !>[X0: $tType]:((set(X0) * set(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5809, type, sK5314: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 57.64/9.36 tff(func_def_5810, type, sK5315: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X0,X1))).
% 57.64/9.36 tff(func_def_5811, type, sK5316: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5812, type, sK5317: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5813, type, sK5318: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5814, type, sK5319: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5815, type, sK5320: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5816, type, sK5321: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5817, type, sK5322: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5818, type, sK5323: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5819, type, sK5324: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5820, type, sK5325: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5821, type, sK5326: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5822, type, sK5327: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5823, type, sK5328: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 57.64/9.36 tff(func_def_5824, type, sK5329: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X0,X1))).
% 57.64/9.36 tff(func_def_5825, type, sK5330: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),$o)) > X1)).
% 57.64/9.36 tff(func_def_5826, type, sK5331: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),$o)) > X0)).
% 57.64/9.36 tff(func_def_5827, type, sK5332: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),$o)) > fun(X1,option(X0)))).
% 57.64/9.36 tff(func_def_5828, type, sK5333: !>[X0: $tType, X1: $tType]:((X0 * fun(X0,option(X1))) > X1)).
% 57.64/9.36 tff(func_def_5829, type, sK5334: (fun(real,real) * real * set(real)) > real).
% 57.64/9.36 tff(func_def_5830, type, sK5335: (fun(real,real) * real * set(real)) > real).
% 57.64/9.36 tff(func_def_5831, type, sK5336: (fun(real,real) * real * set(real)) > real).
% 57.64/9.36 tff(func_def_5832, type, sK5337: (fun(real,real) * real * set(real)) > real).
% 57.64/9.36 tff(func_def_5833, type, sK5338: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_5834, type, sK5339: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5835, type, sK5340: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5836, type, sK5341: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5837, type, sK5342: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5838, type, sK5343: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5839, type, sK5344: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 57.64/9.36 tff(func_def_5840, type, sK5345: fun(nat,fun(real,real)) > nat).
% 57.64/9.36 tff(func_def_5841, type, sK5346: fun(nat,fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5842, type, sK5347: (fun(nat,fun(real,real)) * real * nat) > nat).
% 57.64/9.36 tff(func_def_5843, type, sK5348: (fun(nat,fun(real,real)) * real * nat) > real).
% 57.64/9.36 tff(func_def_5844, type, sK5349: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 57.64/9.36 tff(func_def_5845, type, sK5350: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 57.64/9.36 tff(func_def_5846, type, sK5351: fun(nat,fun(real,real)) > nat).
% 57.64/9.36 tff(func_def_5847, type, sK5352: fun(nat,fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5848, type, sK5353: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5849, type, sK5354: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5850, type, sK5355: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5851, type, sK5356: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5852, type, sK5357: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5853, type, sK5358: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5854, type, sK5359: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5855, type, sK5360: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5856, type, sK5361: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5857, type, sK5362: !>[X0: $tType]:((nat * fun(X0,X0) * X0) > nat)).
% 57.64/9.36 tff(func_def_5858, type, sK5363: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 57.64/9.36 tff(func_def_5859, type, sK5364: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5860, type, sK5365: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5861, type, sK5366: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_5862, type, sK5367: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_5863, type, sK5368: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_5864, type, sK5369: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0)) * list(product_prod(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_5865, type, sK5370: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 57.64/9.36 tff(func_def_5866, type, sK5371: fun(nat,fun(real,real)) > nat).
% 57.64/9.36 tff(func_def_5867, type, sK5372: fun(nat,fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5868, type, sK5373: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0) > X0)).
% 57.64/9.36 tff(func_def_5869, type, sK5374: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * $o) > X0)).
% 57.64/9.36 tff(func_def_5870, type, sK5375: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * $o) > list(X0))).
% 57.64/9.36 tff(func_def_5871, type, sK5376: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5872, type, sK5377: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_5873, type, sK5378: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0) > X0)).
% 57.64/9.36 tff(func_def_5874, type, sK5379: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_5875, type, sK5380: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5876, type, sK5381: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5877, type, sK5382: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_5878, type, sK5383: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_5879, type, sK5384: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > X0)).
% 57.64/9.36 tff(func_def_5880, type, sK5385: !>[X0: $tType]:((set(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_5881, type, sK5386: !>[X0: $tType]:((set(set(X0)) * X0) > set(X0))).
% 57.64/9.36 tff(func_def_5882, type, sK5387: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5883, type, sK5388: (real * real * fun(real,real) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5884, type, sK5389: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_5885, type, sK5390: !>[X0: $tType]:((fun(X0,nat) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5886, type, sK5391: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5887, type, sK5392: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5888, type, sK5393: !>[X0: $tType]:((list(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_5889, type, sK5394: (fun(nat,int) * nat * nat) > nat).
% 57.64/9.36 tff(func_def_5890, type, sK5395: (nat * nat * fun(nat,int) * int) > nat).
% 57.64/9.36 tff(func_def_5891, type, sK5396: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_5892, type, sK5397: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5893, type, sK5398: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5894, type, sK5399: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5895, type, sK5400: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5896, type, sK5401: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5897, type, sK5402: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5898, type, sK5403: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5899, type, sK5404: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5900, type, sK5405: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5901, type, sK5406: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5902, type, sK5407: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5903, type, sK5408: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5904, type, sK5409: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5905, type, sK5410: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5906, type, sK5411: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5907, type, sK5412: (int * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5908, type, sK5413: !>[X0: $tType]:((list(X0) * fun(X0,$o) * nat) > nat)).
% 57.64/9.36 tff(func_def_5909, type, sK5414: !>[X0: $tType]:((nat * fun(X0,$o) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5910, type, sK5415: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > set(X0))).
% 57.64/9.36 tff(func_def_5911, type, sK5416: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > nat)).
% 57.64/9.36 tff(func_def_5912, type, sK5417: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 57.64/9.36 tff(func_def_5913, type, sK5418: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5914, type, sK5419: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5915, type, sK5420: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_5916, type, sK5421: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_5917, type, sK5422: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,$o))) > X1)).
% 57.64/9.36 tff(func_def_5918, type, sK5423: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_5919, type, sK5424: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_5920, type, sK5425: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 57.64/9.36 tff(func_def_5921, type, sK5426: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X1)).
% 57.64/9.36 tff(func_def_5922, type, sK5427: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_5923, type, sK5428: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),$o)) > X1)).
% 57.64/9.36 tff(func_def_5924, type, sK5429: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),$o)) > X0)).
% 57.64/9.36 tff(func_def_5925, type, sK5430: (fun(nat,$o) * nat) > nat).
% 57.64/9.36 tff(func_def_5926, type, sK5431: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_5927, type, sK5432: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5928, type, sK5433: (fun(real,fun(real,real)) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5929, type, sK5434: (real * real * fun(real,real) * fun(real,fun(real,real))) > real).
% 57.64/9.36 tff(func_def_5930, type, sK5435: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5931, type, sK5436: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5932, type, sK5437: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5933, type, sK5438: (real * fun(real,real) * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5934, type, sK5439: (real * fun(real,real) * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5935, type, sK5440: (real * fun(real,real) * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5936, type, sK5441: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5937, type, sK5442: (fun(real,real) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_5938, type, sK5443: (real * real * fun(real,real) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5939, type, sK5444: (nat * set(nat)) > nat).
% 57.64/9.36 tff(func_def_5940, type, sK5445: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5941, type, sK5446: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_5942, type, sK5447: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5943, type, sK5448: (fun(int,$o) * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5944, type, sK5449: (fun(int,$o) * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5945, type, sK5450: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5946, type, sK5451: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5947, type, sK5452: (fun(int,$o) * fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5948, type, sK5453: (int * fun(int,$o) * set(int)) > int).
% 57.64/9.36 tff(func_def_5949, type, sK5454: fun(int,$o) > int).
% 57.64/9.36 tff(func_def_5950, type, sK5455: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5951, type, sK5456: (fun(int,$o) * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5952, type, sK5457: (fun(int,$o) * set(int) * int) > int).
% 57.64/9.36 tff(func_def_5953, type, sK5458: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5954, type, sK5459: (int * fun(int,$o)) > int).
% 57.64/9.36 tff(func_def_5955, type, sK5460: (fun(int,$o) * fun(int,$o) * int) > int).
% 57.64/9.36 tff(func_def_5956, type, sK5461: (fun(nat,fun(real,real)) * real * nat) > nat).
% 57.64/9.36 tff(func_def_5957, type, sK5462: (fun(nat,fun(real,real)) * real * nat) > real).
% 57.64/9.36 tff(func_def_5958, type, sK5463: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5959, type, sK5464: (fun(nat,fun(real,real)) * real * nat) > nat).
% 57.64/9.36 tff(func_def_5960, type, sK5465: (fun(nat,fun(real,real)) * real * nat) > real).
% 57.64/9.36 tff(func_def_5961, type, sK5466: (real * fun(nat,fun(real,real)) * fun(real,real) * nat) > real).
% 57.64/9.36 tff(func_def_5962, type, sK5467: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5963, type, sK5468: (real * real * fun(real,real) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5964, type, sK5469: (fun(nat,fun(real,real)) * real * nat) > nat).
% 57.64/9.36 tff(func_def_5965, type, sK5470: (fun(nat,fun(real,real)) * real * nat) > real).
% 57.64/9.36 tff(func_def_5966, type, sK5471: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_5967, type, sK5472: (real * fun(real,real) * fun(nat,real) * nat) > real).
% 57.64/9.36 tff(func_def_5968, type, sK5473: !>[X0: $tType]:((set(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5969, type, sK5474: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5970, type, sK5475: !>[X0: $tType]:((nat * list(X0) * list(X0)) > nat)).
% 57.64/9.36 tff(func_def_5971, type, sK5476: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * product_prod(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_5972, type, sK5477: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * product_prod(X0,X1)) > X1)).
% 57.64/9.36 tff(func_def_5973, type, sK5478: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5974, type, sK5479: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 57.64/9.36 tff(func_def_5975, type, sK5480: !>[X0: $tType]:((fun(X0,$o) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_5976, type, sK5481: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5977, type, sK5482: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5978, type, sK5483: !>[X0: $tType, X1: $tType]:((X1 * product_prod(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_5979, type, sK5484: !>[X0: $tType, X1: $tType]:((X0 * product_prod(X0,X1)) > X1)).
% 57.64/9.36 tff(func_def_5980, type, sK5485: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * X0 * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_5981, type, sK5486: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X0) > X1)).
% 57.64/9.36 tff(func_def_5982, type, sK5487: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5983, type, sK5488: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5984, type, sK5489: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5985, type, sK5490: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5986, type, sK5491: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5987, type, sK5492: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5988, type, sK5493: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5989, type, sK5494: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5990, type, sK5495: !>[X0: $tType]:((X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_5991, type, sK5496: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_5992, type, sK5497: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 57.64/9.36 tff(func_def_5993, type, sK5498: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_5994, type, sK5499: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 57.64/9.36 tff(func_def_5995, type, sK5500: !>[X0: $tType]:((nat * X0 * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_5996, type, sK5501: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_5997, type, sK5502: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 57.64/9.36 tff(func_def_5998, type, sK5503: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > list(X1))).
% 57.64/9.36 tff(func_def_5999, type, sK5504: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > X0)).
% 57.64/9.36 tff(func_def_6000, type, sK5505: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 57.64/9.36 tff(func_def_6001, type, sK5506: !>[X0: $tType]:((nat * X0 * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6002, type, sK5507: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X1) > X0)).
% 57.64/9.36 tff(func_def_6003, type, sK5508: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * product_prod(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_6004, type, sK5509: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * product_prod(X0,X1)) > X1)).
% 57.64/9.36 tff(func_def_6005, type, sK5510: !>[X0: $tType]:((fun(X0,X0) * X0 * X0) > nat)).
% 57.64/9.36 tff(func_def_6006, type, sK5511: !>[X0: $tType]:((list(X0) * set(nat) * X0) > nat)).
% 57.64/9.36 tff(func_def_6007, type, sK5512: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6008, type, sK5513: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6009, type, sK5514: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6010, type, sK5515: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6011, type, sK5516: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6012, type, sK5517: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6013, type, sK5518: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6014, type, sK5519: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6015, type, sK5520: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6016, type, sK5521: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6017, type, sK5522: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6018, type, sK5523: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6019, type, sK5524: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6020, type, sK5525: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6021, type, sK5526: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6022, type, sK5527: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6023, type, sK5528: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X0)).
% 57.64/9.36 tff(func_def_6024, type, sK5529: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X1)).
% 57.64/9.36 tff(func_def_6025, type, sK5530: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X2)).
% 57.64/9.36 tff(func_def_6026, type, sK5531: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 57.64/9.36 tff(func_def_6027, type, sK5532: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,X0)) > X0)).
% 57.64/9.36 tff(func_def_6028, type, sK5533: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_6029, type, sK5534: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_6030, type, sK5535: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X1)).
% 57.64/9.36 tff(func_def_6031, type, sK5536: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6032, type, sK5537: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 57.64/9.36 tff(func_def_6033, type, sK5538: !>[X0: $tType]:((list(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6034, type, sK5539: !>[X0: $tType]:((list(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6035, type, sK5540: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_6036, type, sK5541: (nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_6037, type, sK5542: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6038, type, sK5543: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6039, type, sK5544: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,filter(X0)) * fun(X0,$o)) > X1)).
% 57.64/9.36 tff(func_def_6040, type, sK5545: !>[X0: $tType, X1: $tType]:((X1 * fun(X0,option(X1)) * set(X0)) > X0)).
% 57.64/9.36 tff(func_def_6041, type, sK5546: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6042, type, sK5547: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6043, type, sK5548: !>[X0: $tType]:((X0 * list(X0) * fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6044, type, sK5549: !>[X0: $tType]:((X0 * list(X0) * fun(X0,$o) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6045, type, sK5550: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 57.64/9.36 tff(func_def_6046, type, sK5551: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X1) > X0)).
% 57.64/9.36 tff(func_def_6047, type, sK5552: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X0)).
% 57.64/9.36 tff(func_def_6048, type, sK5553: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X0))).
% 57.64/9.36 tff(func_def_6049, type, sK5554: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X1)).
% 57.64/9.36 tff(func_def_6050, type, sK5555: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X1))).
% 57.64/9.36 tff(func_def_6051, type, sK5556: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 57.64/9.36 tff(func_def_6052, type, sK5557: !>[X0: $tType]:((list(X0) * nat * fun(nat,X0)) > nat)).
% 57.64/9.36 tff(func_def_6053, type, sK5558: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6054, type, sK5559: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6055, type, sK5560: !>[X0: $tType]:((option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6056, type, sK5561: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6057, type, sK5562: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6058, type, sK5563: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 57.64/9.36 tff(func_def_6059, type, sK5564: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 57.64/9.36 tff(func_def_6060, type, sK5565: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 57.64/9.36 tff(func_def_6061, type, sK5566: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6062, type, sK5567: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 57.64/9.36 tff(func_def_6063, type, sK5568: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 57.64/9.36 tff(func_def_6064, type, sK5569: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6065, type, sK5570: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6066, type, sK5571: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6067, type, sK5572: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6068, type, sK5573: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_6069, type, sK5574: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_6070, type, sK5575: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6071, type, sK5576: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6072, type, sK5577: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6073, type, sK5578: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6074, type, sK5579: !>[X0: $tType, X1: $tType]:((X0 * list(product_prod(X0,X1))) > X1)).
% 57.64/9.36 tff(func_def_6075, type, sK5580: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X1)).
% 57.64/9.36 tff(func_def_6076, type, sK5581: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X0)).
% 57.64/9.36 tff(func_def_6077, type, sK5582: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X1))).
% 57.64/9.36 tff(func_def_6078, type, sK5583: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X0))).
% 57.64/9.36 tff(func_def_6079, type, sK5584: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6080, type, sK5585: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6081, type, sK5586: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6082, type, sK5587: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6083, type, sK5588: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6084, type, sK5589: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 57.64/9.36 tff(func_def_6085, type, sK5590: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 57.64/9.36 tff(func_def_6086, type, sK5591: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 57.64/9.36 tff(func_def_6087, type, sK5592: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 57.64/9.36 tff(func_def_6088, type, sK5593: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6089, type, sK5594: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6090, type, sK5595: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6091, type, sK5596: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6092, type, sK5597: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6093, type, sK5598: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6094, type, sK5599: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6095, type, sK5600: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > X1)).
% 57.64/9.36 tff(func_def_6096, type, sK5601: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > X0)).
% 57.64/9.36 tff(func_def_6097, type, sK5602: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 57.64/9.36 tff(func_def_6098, type, sK5603: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6099, type, sK5604: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6100, type, sK5605: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * set(X1)) > X0)).
% 57.64/9.36 tff(func_def_6101, type, sK5606: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > X1)).
% 57.64/9.36 tff(func_def_6102, type, sK5607: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1)) * set(X1)) > X0)).
% 57.64/9.36 tff(func_def_6103, type, sK5608: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6104, type, sK5609: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6105, type, sK5610: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6106, type, sK5611: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_6107, type, sK5612: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_6108, type, sK5613: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6109, type, sK5614: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6110, type, sK5615: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_6111, type, sK5616: vEBT_VEBT > nat).
% 57.64/9.36 tff(func_def_6112, type, sK5617: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6113, type, sK5618: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X0,X1) * set(X1)) > X0)).
% 57.64/9.36 tff(func_def_6114, type, sK5619: (nat * fun(nat,nat)) > nat).
% 57.64/9.36 tff(func_def_6115, type, sK5620: (nat * fun(nat,nat)) > nat).
% 57.64/9.36 tff(func_def_6116, type, sK5621: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X2)).
% 57.64/9.36 tff(func_def_6117, type, sK5622: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X1)).
% 57.64/9.36 tff(func_def_6118, type, sK5623: (nat * real * fun(nat,fun(real,real))) > nat).
% 57.64/9.36 tff(func_def_6119, type, sK5624: (nat * real * fun(nat,fun(real,real))) > real).
% 57.64/9.36 tff(func_def_6120, type, sK5625: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6121, type, sK5626: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6122, type, sK5627: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6123, type, sK5628: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6124, type, sK5629: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6125, type, sK5630: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X2)).
% 57.64/9.36 tff(func_def_6126, type, sK5631: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X1)).
% 57.64/9.36 tff(func_def_6127, type, sK5632: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X0)).
% 57.64/9.36 tff(func_def_6128, type, sK5633: !>[X0: $tType]:((fun(X0,$o) * X0 * fun(X0,nat) * nat) > X0)).
% 57.64/9.36 tff(func_def_6129, type, sK5634: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_6130, type, sK5635: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 57.64/9.36 tff(func_def_6131, type, sK5636: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat) * nat) > X0)).
% 57.64/9.36 tff(func_def_6132, type, sK5637: (fun(real,real) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6133, type, sK5638: (real * real * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_6134, type, sK5639: !>[X0: $tType]:((set(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6135, type, sK5640: !>[X0: $tType]:((set(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6136, type, sK5641: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_6137, type, sK5642: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_6138, type, sK5643: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o)) * fun(X0,$o)) > X0)).
% 57.64/9.36 tff(func_def_6139, type, sK5644: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 57.64/9.36 tff(func_def_6140, type, sK5645: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > X0)).
% 57.64/9.36 tff(func_def_6141, type, sK5646: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > nat)).
% 57.64/9.36 tff(func_def_6142, type, sK5647: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > X0)).
% 57.64/9.36 tff(func_def_6143, type, sK5648: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > nat)).
% 57.64/9.36 tff(func_def_6144, type, sK5649: !>[X0: $tType]:((nat * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_6145, type, sK5650: !>[X0: $tType]:((nat * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_6146, type, sK5651: !>[X0: $tType]:((nat * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_6147, type, sK5652: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6148, type, sK5653: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6149, type, sK5654: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6150, type, sK5655: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6151, type, sK5656: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6152, type, sK5657: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6153, type, sK5658: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6154, type, sK5659: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * option(X0) * X1) > X0)).
% 57.64/9.36 tff(func_def_6155, type, sK5660: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6156, type, sK5661: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * list(X0) * list(X1)) > nat)).
% 57.64/9.36 tff(func_def_6157, type, sK5662: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X1,filter(X0)) * set(X1)) > set(X1))).
% 57.64/9.36 tff(func_def_6158, type, sK5663: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > product_prod(X1,X0))).
% 57.64/9.36 tff(func_def_6159, type, sK5664: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > nat)).
% 57.64/9.36 tff(func_def_6160, type, sK5665: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X1)).
% 57.64/9.36 tff(func_def_6161, type, sK5666: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X0)).
% 57.64/9.36 tff(func_def_6162, type, sK5667: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X1))).
% 57.64/9.36 tff(func_def_6163, type, sK5668: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X0))).
% 57.64/9.36 tff(func_def_6164, type, sK5669: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 57.64/9.36 tff(func_def_6165, type, sK5670: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * fun(nat,X0)) > nat)).
% 57.64/9.36 tff(func_def_6166, type, sK5671: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > fun(nat,X0))).
% 57.64/9.36 tff(func_def_6167, type, sK5672: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 57.64/9.36 tff(func_def_6168, type, sK5673: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_6169, type, sK5674: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 57.64/9.36 tff(func_def_6170, type, sK5675: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_6171, type, sK5676: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 57.64/9.36 tff(func_def_6172, type, sK5677: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_6173, type, sK5678: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_6174, type, sK5679: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 57.64/9.36 tff(func_def_6175, type, sK5680: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 57.64/9.36 tff(func_def_6176, type, sK5681: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 57.64/9.36 tff(func_def_6177, type, sK5682: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 57.64/9.36 tff(func_def_6178, type, sK5683: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 57.64/9.36 tff(func_def_6179, type, sK5684: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > X0)).
% 57.64/9.36 tff(func_def_6180, type, sK5685: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1)) > nat)).
% 57.64/9.36 tff(func_def_6181, type, sK5686: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 57.64/9.36 tff(func_def_6182, type, sK5687: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 57.64/9.36 tff(func_def_6183, type, sK5688: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,set(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6184, type, sK5689: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0) * set(X1)) > X0)).
% 57.64/9.36 tff(func_def_6185, type, sK5690: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6186, type, sK5691: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6187, type, sK5692: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6188, type, sK5693: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6189, type, sK5694: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 57.64/9.36 tff(func_def_6190, type, sK5695: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * fun(nat,X0)) > nat)).
% 57.64/9.36 tff(func_def_6191, type, sK5696: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * X0 * X0) > fun(nat,X0))).
% 57.64/9.36 tff(func_def_6192, type, sK5697: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X0 * X1) > X0)).
% 57.64/9.36 tff(func_def_6193, type, sK5698: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X0)).
% 57.64/9.36 tff(func_def_6194, type, sK5699: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X1)).
% 57.64/9.36 tff(func_def_6195, type, sK5700: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X2)).
% 57.64/9.36 tff(func_def_6196, type, sK5701: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X3)).
% 57.64/9.36 tff(func_def_6197, type, sK5702: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat) > X1)).
% 57.64/9.36 tff(func_def_6198, type, sK5703: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6199, type, sK5704: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6200, type, sK5705: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6201, type, sK5706: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,list(X0)) * fun(X1,list(X0))) > X1)).
% 57.64/9.36 tff(func_def_6202, type, sK5707: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X0,X1))).
% 57.64/9.36 tff(func_def_6203, type, sK5708: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 57.64/9.36 tff(func_def_6204, type, sK5709: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 57.64/9.36 tff(func_def_6205, type, sK5710: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 57.64/9.36 tff(func_def_6206, type, sK5711: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X0)).
% 57.64/9.36 tff(func_def_6207, type, sK5712: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X2)).
% 57.64/9.36 tff(func_def_6208, type, sK5713: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > X0)).
% 57.64/9.36 tff(func_def_6209, type, sK5714: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > list(X0))).
% 57.64/9.36 tff(func_def_6210, type, sK5715: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > X1)).
% 57.64/9.36 tff(func_def_6211, type, sK5716: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > list(X1))).
% 57.64/9.36 tff(func_def_6212, type, sK5717: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X0)).
% 57.64/9.36 tff(func_def_6213, type, sK5718: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X2)).
% 57.64/9.36 tff(func_def_6214, type, sK5719: (vEBT_VEBT * nat) > nat).
% 57.64/9.36 tff(func_def_6215, type, sK5720: !>[X0: $tType, X1: $tType]:((list(X1) * X0 * list(X0) * set(product_prod(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_6216, type, sK5721: !>[X0: $tType, X1: $tType]:((list(X1) * X0 * list(X0) * set(product_prod(X1,X0))) > list(X1))).
% 57.64/9.36 tff(func_def_6217, type, sK5722: !>[X0: $tType, X1: $tType]:((X1 * list(X1) * list(X0) * set(product_prod(X1,X0))) > X0)).
% 57.64/9.36 tff(func_def_6218, type, sK5723: !>[X0: $tType, X1: $tType]:((X1 * list(X1) * list(X0) * set(product_prod(X1,X0))) > list(X0))).
% 57.64/9.36 tff(func_def_6219, type, sK5724: !>[X0: $tType]:((nat * set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 57.64/9.36 tff(func_def_6220, type, sK5725: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > nat).
% 57.64/9.36 tff(func_def_6221, type, sK5726: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > real).
% 57.64/9.36 tff(func_def_6222, type, sK5727: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > real).
% 57.64/9.36 tff(func_def_6223, type, sK5728: (fun(real,fun(nat,real)) * real * real) > real).
% 57.64/9.36 tff(func_def_6224, type, sK5729: (fun(real,fun(nat,real)) * fun(real,fun(nat,real)) * real) > nat).
% 57.64/9.36 tff(func_def_6225, type, sK5730: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6226, type, sK5731: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * fun(X0,X1)) > X0)).
% 57.64/9.36 tff(func_def_6227, type, sK5732: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6228, type, sK5733: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6229, type, sK5734: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X1)) * fun(X1,X0)) > X2)).
% 57.64/9.36 tff(func_def_6230, type, sK5735: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6231, type, sK5736: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 57.64/9.36 tff(func_def_6232, type, sK5737: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X2)).
% 57.64/9.36 tff(func_def_6233, type, sK5738: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X1)).
% 57.64/9.36 tff(func_def_6234, type, sK5739: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2) > X0)).
% 57.64/9.36 tff(func_def_6235, type, sK5740: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2) > X1)).
% 57.64/9.36 tff(func_def_6236, type, sK5741: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X3)).
% 57.64/9.36 tff(func_def_6237, type, sK5742: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X2)).
% 57.64/9.36 tff(func_def_6238, type, sK5743: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X1)).
% 57.64/9.36 tff(func_def_6239, type, sK5744: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X0)).
% 57.64/9.36 tff(func_def_6240, type, sK5745: (fun(real,real) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6241, type, sK5746: (fun(real,real) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6242, type, sK5747: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6243, type, sK5748: (fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6244, type, sK5749: (real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real)) > real).
% 57.64/9.36 tff(func_def_6245, type, sK5750: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 57.64/9.36 tff(func_def_6246, type, sK5751: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 57.64/9.36 tff(func_def_6247, type, sK5752: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6248, type, sK5753: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 57.64/9.36 tff(func_def_6249, type, sK5754: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 57.64/9.36 tff(func_def_6250, type, sK5755: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6251, type, sK5756: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 57.64/9.36 tff(func_def_6252, type, sK5757: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 57.64/9.36 tff(func_def_6253, type, sK5758: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X0)).
% 57.64/9.36 tff(func_def_6254, type, sK5759: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X2)).
% 57.64/9.36 tff(func_def_6255, type, sK5760: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2) > X1)).
% 57.64/9.36 tff(func_def_6256, type, sK5761: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2) > X0)).
% 57.64/9.36 tff(func_def_6257, type, sK5762: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > fun(nat,fun(X0,X0)))).
% 57.64/9.36 tff(func_def_6258, type, sK5763: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > nat)).
% 57.64/9.36 tff(func_def_6259, type, sK5764: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > nat)).
% 57.64/9.36 tff(func_def_6260, type, sK5765: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > X0)).
% 57.64/9.36 tff(func_def_6261, type, sK5766: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 57.64/9.36 tff(func_def_6262, type, sK5767: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0)) > X0)).
% 57.64/9.36 tff(func_def_6263, type, sK5768: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0)) > X0)).
% 57.64/9.36 tff(func_def_6264, type, sK5769: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X0)).
% 57.64/9.36 tff(func_def_6265, type, sK5770: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X1)).
% 57.64/9.36 tff(func_def_6266, type, sK5771: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X2)).
% 57.64/9.36 tff(func_def_6267, type, sK5772: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X3)).
% 57.64/9.36 tff(func_def_6268, type, sK5773: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X4)).
% 57.64/9.36 tff(func_def_6269, type, sK5774: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1)) > list(X1))).
% 57.64/9.36 tff(func_def_6270, type, sK5775: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X1)).
% 57.64/9.36 tff(func_def_6271, type, sK5776: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X1))).
% 57.64/9.36 tff(func_def_6272, type, sK5777: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X0)).
% 57.64/9.36 tff(func_def_6273, type, sK5778: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X0))).
% 57.64/9.36 tff(func_def_6274, type, sK5779: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X2)).
% 57.64/9.36 tff(func_def_6275, type, sK5780: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X2))).
% 57.64/9.36 tff(func_def_6276, type, sK5781: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X1)).
% 57.64/9.36 tff(func_def_6277, type, sK5782: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X0)).
% 57.64/9.36 tff(func_def_6278, type, sK5783: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 57.64/9.36 tff(func_def_6279, type, sK5784: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 57.64/9.36 tff(func_def_6280, type, sK5785: !>[X0: $tType, X1: $tType]:((X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0)))) > X1)).
% 57.64/9.36 tff(func_def_6281, type, sK5786: !>[X0: $tType, X1: $tType]:((X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0)))) > X0)).
% 57.64/9.36 tff(func_def_6282, type, sK5787: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6283, type, sK5788: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_6284, type, sK5789: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6285, type, sK5790: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6286, type, sK5791: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_6287, type, sK5792: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.36 tff(func_def_6288, type, sK5793: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6289, type, sK5794: list(vEBT_VEBT) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6290, type, sK5795: list(vEBT_VEBT) > nat).
% 57.64/9.36 tff(func_def_6291, type, sK5796: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6292, type, sK5797: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6293, type, sK5798: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 57.64/9.36 tff(func_def_6294, type, sK5799: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 57.64/9.36 tff(func_def_6295, type, sK5800: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 57.64/9.36 tff(func_def_6296, type, sK5801: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6297, type, sK5802: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6298, type, sK5803: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1))) > X2)).
% 57.64/9.36 tff(func_def_6299, type, sK5804: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X2)).
% 57.64/9.36 tff(func_def_6300, type, sK5805: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X1)).
% 57.64/9.36 tff(func_def_6301, type, sK5806: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X4)).
% 57.64/9.36 tff(func_def_6302, type, sK5807: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X3)).
% 57.64/9.36 tff(func_def_6303, type, sK5808: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X2)).
% 57.64/9.36 tff(func_def_6304, type, sK5809: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X1)).
% 57.64/9.36 tff(func_def_6305, type, sK5810: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X0)).
% 57.64/9.36 tff(func_def_6306, type, sK5811: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 57.64/9.36 tff(func_def_6307, type, sK5812: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 57.64/9.36 tff(func_def_6308, type, sK5813: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 57.64/9.36 tff(func_def_6309, type, sK5814: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 57.64/9.36 tff(func_def_6310, type, sK5815: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 57.64/9.36 tff(func_def_6311, type, sK5816: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 57.64/9.36 tff(func_def_6312, type, sK5817: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1) > X2)).
% 57.64/9.36 tff(func_def_6313, type, sK5818: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0)) > X2)).
% 57.64/9.36 tff(func_def_6314, type, sK5819: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6315, type, sK5820: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6316, type, sK5821: (list(vEBT_VEBT) * nat) > nat).
% 57.64/9.36 tff(func_def_6317, type, sK5822: !>[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)).
% 57.64/9.36 tff(func_def_6318, type, sK5823: !>[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)).
% 57.64/9.36 tff(func_def_6319, type, sK5824: !>[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)).
% 57.64/9.36 tff(func_def_6320, type, sK5825: !>[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)).
% 57.64/9.36 tff(func_def_6321, type, sK5826: !>[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)).
% 57.64/9.36 tff(func_def_6322, type, sK5827: !>[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)).
% 57.64/9.36 tff(func_def_6323, type, sK5828: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X1)).
% 57.64/9.36 tff(func_def_6324, type, sK5829: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 57.64/9.36 tff(func_def_6325, type, sK5830: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1) * fun(X1,set(X0))) > X1)).
% 57.64/9.36 tff(func_def_6326, type, sK5831: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 57.64/9.36 tff(func_def_6327, type, sK5832: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 57.64/9.36 tff(func_def_6328, type, sK5833: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 57.64/9.36 tff(func_def_6329, type, sK5834: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 57.64/9.36 tff(func_def_6330, type, sK5835: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6331, type, sK5836: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 57.64/9.36 tff(func_def_6332, type, sK5837: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6333, type, sK5838: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 57.64/9.36 tff(func_def_6334, type, sK5839: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6335, type, sK5840: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 57.64/9.36 tff(func_def_6336, type, sK5841: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6337, type, sK5842: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 57.64/9.36 tff(func_def_6338, type, sK5843: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 57.64/9.36 tff(func_def_6339, type, sK5844: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 57.64/9.36 tff(func_def_6340, type, sK5845: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X5)).
% 57.64/9.36 tff(func_def_6341, type, sK5846: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X4)).
% 57.64/9.36 tff(func_def_6342, type, sK5847: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X3)).
% 57.64/9.36 tff(func_def_6343, type, sK5848: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X2)).
% 57.64/9.36 tff(func_def_6344, type, sK5849: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X1)).
% 57.64/9.36 tff(func_def_6345, type, sK5850: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X0)).
% 57.64/9.36 tff(func_def_6346, type, sK5851: !>[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)).
% 57.64/9.36 tff(func_def_6347, type, sK5852: !>[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)).
% 57.64/9.36 tff(func_def_6348, type, sK5853: !>[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)).
% 57.64/9.36 tff(func_def_6349, type, sK5854: !>[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)).
% 57.64/9.36 tff(func_def_6350, type, sK5855: !>[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)).
% 57.64/9.36 tff(func_def_6351, type, sK5856: !>[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)).
% 57.64/9.36 tff(func_def_6352, type, sK5857: !>[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)).
% 57.64/9.36 tff(func_def_6353, type, sK5858: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6354, type, sK5859: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > X1)).
% 57.64/9.36 tff(func_def_6355, type, sK5860: !>[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)).
% 57.64/9.36 tff(func_def_6356, type, sK5861: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * X1) > X3)).
% 57.64/9.36 tff(func_def_6357, type, sK5862: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 57.64/9.36 tff(func_def_6358, type, sK5863: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 57.64/9.36 tff(func_def_6359, type, sK5864: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X3)).
% 57.64/9.36 tff(func_def_6360, type, sK5865: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X3))).
% 57.64/9.36 tff(func_def_6361, type, sK5866: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X2)).
% 57.64/9.36 tff(func_def_6362, type, sK5867: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X2))).
% 57.64/9.36 tff(func_def_6363, type, sK5868: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X1)).
% 57.64/9.36 tff(func_def_6364, type, sK5869: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X1))).
% 57.64/9.36 tff(func_def_6365, type, sK5870: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X0)).
% 57.64/9.36 tff(func_def_6366, type, sK5871: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X0))).
% 57.64/9.36 tff(func_def_6367, type, sK5872: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X6)).
% 57.64/9.36 tff(func_def_6368, type, sK5873: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X5)).
% 57.64/9.36 tff(func_def_6369, type, sK5874: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X4)).
% 57.64/9.36 tff(func_def_6370, type, sK5875: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X3)).
% 57.64/9.36 tff(func_def_6371, type, sK5876: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X2)).
% 57.64/9.36 tff(func_def_6372, type, sK5877: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X1)).
% 57.64/9.36 tff(func_def_6373, type, sK5878: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X0)).
% 57.64/9.36 tff(func_def_6374, type, sK5879: real).
% 57.64/9.36 tff(pred_def_1, type, bounded_lattice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_2, type, type: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_3, type, size: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_4, type, dvd: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_5, type, one: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_6, type, idom: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_7, type, ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_8, type, plus: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_9, type, zero: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_10, type, numeral: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_11, type, power: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_12, type, field: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_13, type, ring_gcd: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_14, type, minus: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_15, type, abs_if: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_16, type, ring_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_17, type, uminus: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_18, type, ord: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_19, type, inverse: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_20, type, semiring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_21, type, ring_char_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_22, type, neg_numeral: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_23, type, order: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_24, type, comm_ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_25, type, mult_zero: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_26, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_27, type, semiring_gcd: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_28, type, group_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_29, type, lattice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_30, type, no_bot: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_31, type, no_top: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_32, type, semiring_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_33, type, semiring_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_34, type, monoid_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_35, type, comm_ring_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_36, type, idom_divide: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_37, type, idom_modulo: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_38, type, ln: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_39, type, monoid_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_40, type, linorder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_41, type, preorder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_42, type, ring_parity: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_43, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_44, type, ordered_ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_45, type, zero_neq_one: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_46, type, field_char_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_47, type, ab_group_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_48, type, semiring_char_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_49, type, order_bot: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_50, type, order_top: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_51, type, wellorder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_52, type, comm_semiring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_53, type, zero_less_one: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_54, type, division_ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_55, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_56, type, semigroup_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_57, type, semiring_numeral: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_58, type, semidom_divide: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_59, type, semidom_modulo: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_60, type, semigroup_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_61, type, dense_order: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_62, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_63, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_64, type, linordered_idom: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_65, type, linordered_ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_66, type, semiring_modulo: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_67, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_68, type, semiring_parity: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_69, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_70, type, ordered_semiring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_71, type, linordered_field: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_72, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_73, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_74, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_75, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_76, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_77, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_78, type, semilattice_inf: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_79, type, semilattice_sup: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_80, type, dense_linorder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_81, type, linordered_semidom: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_82, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_83, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_84, type, linordered_semiring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_85, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_86, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_87, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_88, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_89, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_90, type, topological_t2_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_91, type, topological_t3_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_92, type, topological_t4_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_93, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_94, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_95, type, real_V6936659425649961206t_norm: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_96, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_97, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_98, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_99, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_100, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_101, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_102, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_103, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_104, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_105, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_106, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_107, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_108, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_109, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_110, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_111, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_112, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_113, type, real_V6157519004096292374lgebra: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_114, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_115, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_116, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_117, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_118, type, euclid5891614535332579305n_ring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_119, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_120, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_121, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_122, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_123, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_124, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_125, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_126, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_127, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_128, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_129, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_130, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_131, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_132, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_133, type, topolo4987421752381908075d_mult: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_134, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_135, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_136, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_137, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_138, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_139, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_140, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_141, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_142, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_143, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_144, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_145, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_146, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_147, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_148, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_149, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_150, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_151, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_152, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_153, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_154, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_155, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_156, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_157, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_158, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_159, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_160, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_161, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_162, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_163, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_164, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_165, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_166, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_167, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_168, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_169, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_170, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_171, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_172, type, boolea2506097494486148201lgebra: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_173, type, boolea3799213064322606851m_diff: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0))) > $o)).
% 57.64/9.36 tff(pred_def_174, type, differentiable: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_175, type, has_derivative: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,X1) * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_176, type, has_field_derivative: !>[X0: $tType]:((fun(X0,X0) * X0 * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_177, type, eucl_rel_int: (int * int * product_prod(int,int)) > $o).
% 57.64/9.36 tff(pred_def_178, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod(X0,X0)) > $o)).
% 57.64/9.36 tff(pred_def_179, type, eventually: !>[X0: $tType]:((fun(X0,$o) * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_180, type, filterlim: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1) * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_181, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1))) > $o)).
% 57.64/9.36 tff(pred_def_182, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 57.64/9.36 tff(pred_def_183, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 57.64/9.36 tff(pred_def_184, type, finite_finite: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_185, type, bij_betw: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_186, type, inj_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_187, type, strict_mono_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_188, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 * X1) > $o)).
% 57.64/9.36 tff(pred_def_189, type, semila1105856199041335345_order: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > $o)).
% 57.64/9.36 tff(pred_def_190, type, bfun: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 57.64/9.36 tff(pred_def_191, type, distinct: !>[X0: $tType]:((list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_192, type, folding_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0)) > $o)).
% 57.64/9.36 tff(pred_def_193, type, sorted_wrt: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_194, type, ring_1_iszero: !>[X0: $tType]:((X0) > $o)).
% 57.64/9.36 tff(pred_def_195, type, order_antimono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_196, type, order_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_197, type, order_strict_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_198, type, ratrel: (product_prod(int,int) * product_prod(int,int)) > $o).
% 57.64/9.36 tff(pred_def_199, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_200, type, real_V4916620083959148203axioms: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_201, type, dvd_dvd: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_202, type, summable: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_203, type, sums: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 57.64/9.36 tff(pred_def_204, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_205, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_206, type, topological_monoseq: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_207, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_208, type, topolo7761053866217962861closed: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_209, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_210, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_211, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_212, type, vEBT_V5917875025757280293ildren: (nat * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_213, type, vEBT_VEBT_membermima: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_214, type, vEBT_V5719532721284313246member: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_215, type, vEBT_VEBT_valid: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_216, type, vEBT_invar_vebt: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_217, type, vEBT_VEBT_minNull: vEBT_VEBT > $o).
% 57.64/9.36 tff(pred_def_218, type, vEBT_VEBT_greater: (option(nat) * option(nat)) > $o).
% 57.64/9.36 tff(pred_def_219, type, vEBT_VEBT_less: (option(nat) * option(nat)) > $o).
% 57.64/9.36 tff(pred_def_220, type, vEBT_VEBT_lesseq: (option(nat) * option(nat)) > $o).
% 57.64/9.36 tff(pred_def_221, type, vEBT_VEBT_max_in_set: (set(nat) * nat) > $o).
% 57.64/9.36 tff(pred_def_222, type, vEBT_VEBT_min_in_set: (set(nat) * nat) > $o).
% 57.64/9.36 tff(pred_def_223, type, vEBT_is_pred_in_set: (set(nat) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_224, type, vEBT_is_succ_in_set: (set(nat) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_225, type, member: !>[X0: $tType]:((X0 * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_226, type, iG437: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_227, type, iG438: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_228, type, iG439: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.36 tff(pred_def_229, type, iG440: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.36 tff(pred_def_230, type, iG441: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_231, type, iG442: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_232, type, iG443: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_233, type, iG444: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_234, type, iG445: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.36 tff(pred_def_235, type, iG446: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 57.64/9.36 tff(pred_def_236, type, iG447: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_237, type, iG448: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_238, type, iG802: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_239, type, iG803: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_240, type, iG805: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_241, type, iG810: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_242, type, iG811: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_243, type, iG813: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_244, type, iG817: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_245, type, iG819: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_246, type, iG825: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_247, type, iG827: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_248, type, iG842: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_249, type, iG843: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_250, type, iG845: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_251, type, iG850: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_252, type, iG851: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_253, type, iG853: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_254, type, iG855: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_255, type, iG857: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_256, type, iG859: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_257, type, iG861: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_258, type, iG933: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_259, type, iG934: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_260, type, iG936: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_261, type, iG937: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_262, type, iG938: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_263, type, iG939: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_264, type, iG940: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_265, type, iG945: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_266, type, iG946: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_267, type, iG948: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_268, type, iG949: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_269, type, iG950: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_270, type, iG951: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_271, type, iG952: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_272, type, iG955: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_273, type, iG956: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_274, type, iG958: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_275, type, iG959: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_276, type, iG960: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_277, type, iG961: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_278, type, iG962: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_279, type, iG967: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_280, type, iG968: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_281, type, iG970: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_282, type, iG971: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_283, type, iG972: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_284, type, iG973: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_285, type, iG974: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_286, type, iG983: (int * nat) > $o).
% 57.64/9.36 tff(pred_def_287, type, iG984: (int * nat) > $o).
% 57.64/9.36 tff(pred_def_288, type, iG985: (int * nat) > $o).
% 57.64/9.36 tff(pred_def_289, type, iG1477: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_290, type, iG1478: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_291, type, iG1480: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_292, type, iG1495: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_293, type, iG1497: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_294, type, iG1503: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_295, type, iG1509: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_296, type, iG1510: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_297, type, iG1512: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_298, type, iG1513: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_299, type, iG1514: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_300, type, iG1515: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_301, type, iG1516: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_302, type, iG1537: (nat * $o) > $o).
% 57.64/9.36 tff(pred_def_303, type, iG1538: (nat * $o * $o) > $o).
% 57.64/9.36 tff(pred_def_304, type, iG1568: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_305, type, iG1569: (int * int * int) > $o).
% 57.64/9.36 tff(pred_def_306, type, iG1570: (int * int * int) > $o).
% 57.64/9.36 tff(pred_def_307, type, iG1598: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_308, type, iG1600: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_309, type, iG1772: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_310, type, iG1781: (real * real * real) > $o).
% 57.64/9.36 tff(pred_def_311, type, iG1782: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_312, type, sP1845: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_313, type, sP1846: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_314, type, sP1847: vEBT_VEBT > $o).
% 57.64/9.36 tff(pred_def_315, type, sP1848: !>[X0: $tType]:((real * X0) > $o)).
% 57.64/9.36 tff(pred_def_316, type, sP1849: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_317, type, sP1850: !>[X0: $tType]:((real * X0) > $o)).
% 57.64/9.36 tff(pred_def_318, type, sP1851: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_319, type, sP1852: !>[X0: $tType]:((X0 * X0 * real) > $o)).
% 57.64/9.36 tff(pred_def_320, type, sP1853: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_321, type, sP1854: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_322, type, sP1855: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_323, type, sP1856: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_324, type, sP1857: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_325, type, sP1858: !>[X0: $tType]:((X0 * fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_326, type, sP1859: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_327, type, sP1860: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_328, type, sP1861: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_329, type, sP1862: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_330, type, sP1863: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_331, type, sP1864: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_332, type, sP1865: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_333, type, sP1866: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_334, type, sP1867: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_335, type, sP1868: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_336, type, sP1869: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_337, type, sP1870: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_338, type, sP1871: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_339, type, sP1872: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_340, type, sP1873: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_341, type, sP1874: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_342, type, sP1875: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_343, type, sP1876: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_344, type, sP1877: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_345, type, sP1878: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_346, type, sP1879: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_347, type, sP1880: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_348, type, sP1881: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_349, type, sP1882: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_350, type, sP1883: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_351, type, sP1884: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_352, type, sP1885: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_353, type, sP1886: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_354, type, sP1887: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_355, type, sP1888: !>[X0: $tType]:((fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_356, type, sP1889: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_357, type, sP1890: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_358, type, sP1891: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_359, type, sP1892: !>[X0: $tType]:((nat * nat * X0) > $o)).
% 57.64/9.36 tff(pred_def_360, type, sP1893: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_361, type, sP1894: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_362, type, sP1895: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_363, type, sP1896: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_364, type, sP1897: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_365, type, sP1898: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_366, type, sP1899: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_367, type, sP1900: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_368, type, sP1901: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_369, type, sP1902: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_370, type, sP1903: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_371, type, sP1904: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_372, type, sP1905: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_373, type, sP1906: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_374, type, sP1907: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_375, type, sP1908: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_376, type, sP1909: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_377, type, sP1910: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_378, type, sP1911: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_379, type, sP1912: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_380, type, sP1913: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_381, type, sP1914: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_382, type, sP1915: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 57.64/9.36 tff(pred_def_383, type, sP1916: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 57.64/9.36 tff(pred_def_384, type, sP1917: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 57.64/9.36 tff(pred_def_385, type, sP1918: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_386, type, sP1919: !>[X0: $tType]:((X0 * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_387, type, sP1920: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_388, type, sP1921: !>[X0: $tType]:((X0 * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_389, type, sP1922: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_390, type, sP1923: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_391, type, sP1924: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_392, type, sP1925: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_393, type, sP1926: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_394, type, sP1927: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_395, type, sP1928: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_396, type, sP1929: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_397, type, sP1930: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_398, type, sP1931: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_399, type, sP1932: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_400, type, sP1933: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_401, type, sP1934: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_402, type, sP1935: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_403, type, sP1936: !>[X0: $tType]:((X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_404, type, sP1937: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_405, type, sP1938: !>[X0: $tType]:((X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_406, type, sP1939: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_407, type, sP1940: !>[X0: $tType]:((X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_408, type, sP1941: !>[X0: $tType]:((X0 * num) > $o)).
% 57.64/9.36 tff(pred_def_409, type, sP1942: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_410, type, sP1943: !>[X0: $tType]:((X0 * num) > $o)).
% 57.64/9.36 tff(pred_def_411, type, sP1944: !>[X0: $tType]:((fun(nat,X0) * nat) > $o)).
% 57.64/9.36 tff(pred_def_412, type, sP1945: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_413, type, sP1946: !>[X0: $tType]:((X0 * fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_414, type, sP1947: !>[X0: $tType]:((list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_415, type, sP1948: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_416, type, sP1949: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_417, type, sP1950: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_418, type, sP1951: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_419, type, sP1952: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_420, type, sP1953: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_421, type, sP1954: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_422, type, sP1955: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_423, type, sP1956: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_424, type, sP1957: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_425, type, sP1958: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 57.64/9.36 tff(pred_def_426, type, sP1959: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_427, type, sP1960: !>[X0: $tType]:((fun(X0,real) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_428, type, sP1961: !>[X0: $tType]:((fun(X0,$o) * $o) > $o)).
% 57.64/9.36 tff(pred_def_429, type, sP1962: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_430, type, sP1963: !>[X0: $tType]:((fun(X0,$o) * $o) > $o)).
% 57.64/9.36 tff(pred_def_431, type, sP1964: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_432, type, sP1965: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_433, type, sP1966: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_434, type, sP1967: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_435, type, sP1968: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_436, type, sP1969: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_437, type, sP1970: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_438, type, sP1971: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_439, type, sP1972: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_440, type, sP1973: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_441, type, sP1974: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_442, type, sP1975: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_443, type, sP1976: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_444, type, sP1977: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_445, type, sP1978: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_446, type, sP1979: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_447, type, sP1980: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_448, type, sP1981: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_449, type, sP1982: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_450, type, sP1983: !>[X0: $tType]:((list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o))) > $o)).
% 57.64/9.36 tff(pred_def_451, type, sP1984: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_452, type, sP1985: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 57.64/9.36 tff(pred_def_453, type, sP1986: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_454, type, sP1987: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > $o)).
% 57.64/9.36 tff(pred_def_455, type, sP1988: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_456, type, sP1989: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_457, type, sP1990: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_458, type, sP1991: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_459, type, sP1992: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_460, type, sP1993: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_461, type, sP1994: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_462, type, sP1995: !>[X0: $tType]:($o)).
% 57.64/9.36 tff(pred_def_463, type, sP1996: set(real) > $o).
% 57.64/9.36 tff(pred_def_464, type, sP1997: real > $o).
% 57.64/9.36 tff(pred_def_465, type, sP1998: real > $o).
% 57.64/9.36 tff(pred_def_466, type, sP1999: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > $o)).
% 57.64/9.36 tff(pred_def_467, type, sP2000: !>[X0: $tType, X1: $tType]:($o)).
% 57.64/9.36 tff(pred_def_468, type, sP2001: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_469, type, sP2002: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_470, type, sP2003: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_471, type, sP2004: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_472, type, sP2005: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_473, type, sP2006: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1)) > $o)).
% 57.64/9.36 tff(pred_def_474, type, sP2007: !>[X0: $tType, X1: $tType]:($o)).
% 57.64/9.36 tff(pred_def_475, type, sP2008: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_476, type, sP2009: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > $o)).
% 57.64/9.36 tff(pred_def_477, type, sP2010: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_478, type, sP2011: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_479, type, sP2012: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_480, type, sP2013: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_481, type, sP2014: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > $o)).
% 57.64/9.36 tff(pred_def_482, type, sP2015: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_483, type, sP2016: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_484, type, sP2017: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_485, type, sP2018: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_486, type, sP2019: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_487, type, sP2020: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_488, type, sP2021: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_489, type, sP2022: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_490, type, sP2023: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_491, type, sP2024: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_492, type, sP2025: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_493, type, sP2026: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_494, type, sP2027: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_495, type, sP2028: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_496, type, sP2029: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_497, type, sP2030: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_498, type, sP2031: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_499, type, sP2032: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_500, type, sP2033: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_501, type, sP2034: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_502, type, sP2035: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_503, type, sP2036: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_504, type, sP2037: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_505, type, sP2038: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_506, type, sP2039: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_507, type, sP2040: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_508, type, sP2041: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_509, type, sP2042: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_510, type, sP2043: (nat * list(nat)) > $o).
% 57.64/9.36 tff(pred_def_511, type, sP2044: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_512, type, sP2045: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_513, type, sP2046: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_514, type, sP2047: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_515, type, sP2048: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_516, type, sP2049: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_517, type, sP2050: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_518, type, sP2051: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_519, type, sP2052: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_520, type, sP2053: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_521, type, sP2054: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_522, type, sP2055: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_523, type, sP2056: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_524, type, sP2057: !>[X0: $tType]:((list(list(X0))) > $o)).
% 57.64/9.36 tff(pred_def_525, type, sP2058: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_526, type, sP2059: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_527, type, sP2060: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_528, type, sP2061: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_529, type, sP2062: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_530, type, sP2063: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_531, type, sP2064: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_532, type, sP2065: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 57.64/9.36 tff(pred_def_533, type, sP2066: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 57.64/9.36 tff(pred_def_534, type, sP2067: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > $o)).
% 57.64/9.36 tff(pred_def_535, type, sP2068: !>[X0: $tType, X1: $tType]:($o)).
% 57.64/9.36 tff(pred_def_536, type, sP2069: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_537, type, sP2070: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1 * fun(X1,X0)) > $o)).
% 57.64/9.36 tff(pred_def_538, type, sP2071: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_539, type, sP2072: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_540, type, sP2073: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 57.64/9.36 tff(pred_def_541, type, sP2074: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > $o)).
% 57.64/9.36 tff(pred_def_542, type, sP2075: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 57.64/9.36 tff(pred_def_543, type, sP2076: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > $o)).
% 57.64/9.36 tff(pred_def_544, type, sP2077: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 57.64/9.36 tff(pred_def_545, type, sP2078: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_546, type, sP2079: !>[X0: $tType, X1: $tType]:($o)).
% 57.64/9.36 tff(pred_def_547, type, sP2080: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_548, type, sP2081: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_549, type, sP2082: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_550, type, sP2083: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_551, type, sP2084: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_552, type, sP2085: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_553, type, sP2086: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_554, type, sP2087: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_555, type, sP2088: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_556, type, sP2089: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_557, type, sP2090: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_558, type, sP2091: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_559, type, sP2092: fun(real,$o) > $o).
% 57.64/9.36 tff(pred_def_560, type, sP2093: fun(int,$o) > $o).
% 57.64/9.36 tff(pred_def_561, type, sP2094: fun(nat,$o) > $o).
% 57.64/9.36 tff(pred_def_562, type, sP2095: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_563, type, sP2096: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_564, type, sP2097: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_565, type, sP2098: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_566, type, sP2099: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_567, type, sP2100: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_568, type, sP2101: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_569, type, sP2102: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_570, type, sP2103: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_571, type, sP2104: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_572, type, sP2105: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_573, type, sP2106: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_574, type, sP2107: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_575, type, sP2108: (vEBT_VEBT * nat) > $o).
% 57.64/9.36 tff(pred_def_576, type, sP2109: !>[X0: $tType]:((list(list(X0))) > $o)).
% 57.64/9.36 tff(pred_def_577, type, sP2110: !>[X0: $tType]:((list(list(X0))) > $o)).
% 57.64/9.36 tff(pred_def_578, type, sP2111: (int * int) > $o).
% 57.64/9.36 tff(pred_def_579, type, sP2112: (int * int) > $o).
% 57.64/9.36 tff(pred_def_580, type, sP2113: (int * int) > $o).
% 57.64/9.36 tff(pred_def_581, type, sP2114: !>[X0: $tType]:((set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_582, type, sP2115: (nat * nat) > $o).
% 57.64/9.36 tff(pred_def_583, type, sP2116: (nat * nat) > $o).
% 57.64/9.36 tff(pred_def_584, type, sP2117: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_585, type, sP2118: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_586, type, sP2119: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_587, type, sP2120: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_588, type, sP2121: (int * int) > $o).
% 57.64/9.36 tff(pred_def_589, type, sP2122: (int * int) > $o).
% 57.64/9.36 tff(pred_def_590, type, sP2123: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_591, type, sP2124: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_592, type, sP2125: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_593, type, sP2126: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_594, type, sP2127: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_595, type, sP2128: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_596, type, sP2129: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_597, type, sP2130: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_598, type, sP2131: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_599, type, sP2132: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_600, type, sP2133: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_601, type, sP2134: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_602, type, sP2135: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_603, type, sP2136: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 57.64/9.36 tff(pred_def_604, type, sP2137: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_605, type, sP2138: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 57.64/9.36 tff(pred_def_606, type, sP2139: !>[X0: $tType]:((set(set(X0))) > $o)).
% 57.64/9.36 tff(pred_def_607, type, sP2140: (int * int * product_prod(int,int)) > $o).
% 57.64/9.36 tff(pred_def_608, type, sP2141: (int * int * product_prod(int,int)) > $o).
% 57.64/9.36 tff(pred_def_609, type, sP2142: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_610, type, sP2143: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_611, type, sP2144: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_612, type, sP2145: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_613, type, sP2146: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_614, type, sP2147: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_615, type, sP2148: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_616, type, sP2149: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_617, type, sP2150: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_618, type, sP2151: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_619, type, sP2152: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_620, type, sP2153: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_621, type, sP2154: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_622, type, sP2155: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_623, type, sP2156: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_624, type, sP2157: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_625, type, sP2158: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_626, type, sP2159: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_627, type, sP2160: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_628, type, sP2161: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_629, type, sP2162: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_630, type, sP2163: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_631, type, sP2164: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_632, type, sP2165: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_633, type, sP2166: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_634, type, sP2167: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_635, type, sP2168: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_636, type, sP2169: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_637, type, sP2170: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_638, type, sP2171: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_639, type, sP2172: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_640, type, sP2173: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_641, type, sP2174: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_642, type, sP2175: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_643, type, sP2176: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_644, type, sP2177: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_645, type, sP2178: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_646, type, sP2179: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_647, type, sP2180: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_648, type, sP2181: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_649, type, sP2182: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_650, type, sP2183: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_651, type, sP2184: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_652, type, sP2185: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_653, type, sP2186: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_654, type, sP2187: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_655, type, sP2188: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_656, type, sP2189: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_657, type, sP2190: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_658, type, sP2191: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_659, type, sP2192: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_660, type, sP2193: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_661, type, sP2194: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_662, type, sP2195: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_663, type, sP2196: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_664, type, sP2197: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_665, type, sP2198: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_666, type, sP2199: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_667, type, sP2200: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_668, type, sP2201: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_669, type, sP2202: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_670, type, sP2203: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_671, type, sP2204: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_672, type, sP2205: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_673, type, sP2206: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_674, type, sP2207: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_675, type, sP2208: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_676, type, sP2209: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_677, type, sP2210: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_678, type, sP2211: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_679, type, sP2212: (vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_680, type, sP2213: (vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_681, type, sP2214: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_682, type, sP2215: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_683, type, sP2216: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_684, type, sP2217: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_685, type, sP2218: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_686, type, sP2219: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_687, type, sP2220: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_688, type, sP2221: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_689, type, sP2222: (nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_690, type, sP2223: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_691, type, sP2224: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_692, type, sP2225: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_693, type, sP2226: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_694, type, sP2227: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_695, type, sP2228: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_696, type, sP2229: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_697, type, sP2230: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_698, type, sP2231: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_699, type, sP2232: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_700, type, sP2233: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_701, type, sP2234: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_702, type, sP2235: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_703, type, sP2236: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_704, type, sP2237: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_705, type, sP2238: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_706, type, sP2239: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_707, type, sP2240: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_708, type, sP2241: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_709, type, sP2242: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_710, type, sP2243: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_711, type, sP2244: (num * num * num) > $o).
% 57.64/9.36 tff(pred_def_712, type, sP2245: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_713, type, sP2246: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_714, type, sP2247: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_715, type, sP2248: (vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_716, type, sP2249: (vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_717, type, sP2250: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_718, type, sP2251: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_719, type, sP2252: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_720, type, sP2253: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_721, type, sP2254: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_722, type, sP2255: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_723, type, sP2256: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_724, type, sP2257: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_725, type, sP2258: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_726, type, sP2259: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_727, type, sP2260: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_728, type, sP2261: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_729, type, sP2262: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_730, type, sP2263: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_731, type, sP2264: (option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_732, type, sP2265: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_733, type, sP2266: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_734, type, sP2267: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_735, type, sP2268: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_736, type, sP2269: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_737, type, sP2270: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_738, type, sP2271: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_739, type, sP2272: (option(nat) * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_740, type, sP2273: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_741, type, sP2274: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_742, type, sP2275: (nat * option(nat) * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_743, type, sP2276: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_744, type, sP2277: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_745, type, sP2278: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_746, type, sP2279: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_747, type, sP2280: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_748, type, sP2281: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_749, type, sP2282: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_750, type, sP2283: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_751, type, sP2284: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_752, type, sP2285: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_753, type, sP2286: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_754, type, sP2287: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_755, type, sP2288: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_756, type, sP2289: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_757, type, sP2290: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_758, type, sP2291: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_759, type, sP2292: !>[X0: $tType]:((set(filter(X0))) > $o)).
% 57.64/9.36 tff(pred_def_760, type, sP2293: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_761, type, sP2294: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_762, type, sP2295: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_763, type, sP2296: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_764, type, sP2297: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_765, type, sP2298: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_766, type, sP2299: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_767, type, sP2300: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_768, type, sP2301: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_769, type, sP2302: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_770, type, sP2303: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_771, type, sP2304: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_772, type, sP2305: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_773, type, sP2306: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_774, type, sP2307: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_775, type, sP2308: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_776, type, sP2309: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_777, type, sP2310: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_778, type, sP2311: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_779, type, sP2312: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_780, type, sP2313: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_781, type, sP2314: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_782, type, sP2315: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_783, type, sP2316: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_784, type, sP2317: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_785, type, sP2318: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_786, type, sP2319: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_787, type, sP2320: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_788, type, sP2321: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_789, type, sP2322: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_790, type, sP2323: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_791, type, sP2324: (option(num) * num * num) > $o).
% 57.64/9.36 tff(pred_def_792, type, sP2325: (int * int * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_793, type, sP2326: (int * int * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_794, type, sP2327: (int * int * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_795, type, sP2328: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_796, type, sP2329: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * option(product_prod(nat,nat)) * $o) > $o).
% 57.64/9.36 tff(pred_def_797, type, sP2330: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_798, type, sP2331: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_799, type, sP2332: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * option(product_prod(nat,nat)) * $o) > $o).
% 57.64/9.36 tff(pred_def_800, type, sP2333: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_801, type, sP2334: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_802, type, sP2335: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_803, type, sP2336: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_804, type, sP2337: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_805, type, sP2338: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_806, type, sP2339: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_807, type, sP2340: (nat * nat * list(vEBT_VEBT) * nat * nat * $o) > $o).
% 57.64/9.36 tff(pred_def_808, type, sP2341: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_809, type, sP2342: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_810, type, sP2343: ($o * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_811, type, sP2344: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_812, type, sP2345: (nat * nat * nat * $o) > $o).
% 57.64/9.36 tff(pred_def_813, type, sP2346: (nat * nat * list(vEBT_VEBT) * nat * nat * $o) > $o).
% 57.64/9.36 tff(pred_def_814, type, sP2347: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_815, type, sP2348: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_816, type, sP2349: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_817, type, sP2350: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_818, type, sP2351: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_819, type, sP2352: !>[X0: $tType]:((option(X0) * option(X0)) > $o)).
% 57.64/9.36 tff(pred_def_820, type, sP2353: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_821, type, sP2354: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_822, type, sP2355: ($o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_823, type, sP2356: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_824, type, sP2357: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_825, type, sP2358: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_826, type, sP2359: (nat * $o * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_827, type, sP2360: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_828, type, sP2361: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_829, type, sP2362: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > $o)).
% 57.64/9.36 tff(pred_def_830, type, sP2363: (fun(nat,nat) * nat) > $o).
% 57.64/9.36 tff(pred_def_831, type, sP2364: (fun(int,$o) * int) > $o).
% 57.64/9.36 tff(pred_def_832, type, sP2365: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_833, type, sP2366: (real * real * fun(real,real)) > $o).
% 57.64/9.36 tff(pred_def_834, type, sP2367: (fun(real,real) * real * real * real * real) > $o).
% 57.64/9.36 tff(pred_def_835, type, sP2368: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_836, type, sP2369: (fun(real,fun(real,$o)) * real) > $o).
% 57.64/9.36 tff(pred_def_837, type, sP2370: fun(real,fun(real,$o)) > $o).
% 57.64/9.36 tff(pred_def_838, type, sP2371: (fun(nat,$o) * nat) > $o).
% 57.64/9.36 tff(pred_def_839, type, sP2372: fun(nat,fun(nat,$o)) > $o).
% 57.64/9.36 tff(pred_def_840, type, sP2373: (fun(int,fun(int,$o)) * int * int) > $o).
% 57.64/9.36 tff(pred_def_841, type, sP2374: (int * int * fun(int,fun(int,$o))) > $o).
% 57.64/9.36 tff(pred_def_842, type, sP2375: (fun(int,fun(int,$o)) * int * int) > $o).
% 57.64/9.36 tff(pred_def_843, type, sP2376: (int * int * fun(int,fun(int,$o))) > $o).
% 57.64/9.36 tff(pred_def_844, type, sP2377: (real * nat * real) > $o).
% 57.64/9.36 tff(pred_def_845, type, sP2378: (real * nat * real) > $o).
% 57.64/9.36 tff(pred_def_846, type, sP2379: (nat * nat * set(nat)) > $o).
% 57.64/9.36 tff(pred_def_847, type, sP2380: (nat * nat * set(nat)) > $o).
% 57.64/9.36 tff(pred_def_848, type, sP2381: (product_prod(int,int) * int * int) > $o).
% 57.64/9.36 tff(pred_def_849, type, sP2382: (product_prod(int,int) * int * int) > $o).
% 57.64/9.36 tff(pred_def_850, type, sP2383: (int * int * product_prod(int,int)) > $o).
% 57.64/9.36 tff(pred_def_851, type, sP2384: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_852, type, sP2385: (nat * nat * vEBT_VEBT) > $o).
% 57.64/9.36 tff(pred_def_853, type, sP2386: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_854, type, sP2387: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_855, type, sP2388: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_856, type, sP2389: (int * int * int) > $o).
% 57.64/9.36 tff(pred_def_857, type, sP2390: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > $o)).
% 57.64/9.36 tff(pred_def_858, type, sP2391: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_859, type, sP2392: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_860, type, sP2393: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_861, type, sP2394: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_862, type, sP2395: (fun(int,$o) * int * int) > $o).
% 57.64/9.36 tff(pred_def_863, type, sP2396: (fun(int,$o) * int * int) > $o).
% 57.64/9.36 tff(pred_def_864, type, sP2397: (int * int * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_865, type, sP2398: (fun(int,$o) * int * int) > $o).
% 57.64/9.36 tff(pred_def_866, type, sP2399: (fun(int,$o) * int * int) > $o).
% 57.64/9.36 tff(pred_def_867, type, sP2400: (int * int * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_868, type, sP2401: (fun(nat,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_869, type, sP2402: (fun(nat,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_870, type, sP2403: (fun(nat,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_871, type, sP2404: (fun(real,$o) * real * nat) > $o).
% 57.64/9.36 tff(pred_def_872, type, sP2405: (fun(nat,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_873, type, sP2406: (fun(nat,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_874, type, sP2407: (fun(int,$o) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_875, type, sP2408: ($o * int * $o * int) > $o).
% 57.64/9.36 tff(pred_def_876, type, sP2409: ($o * int * $o * int) > $o).
% 57.64/9.36 tff(pred_def_877, type, sP2410: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_878, type, sP2411: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_879, type, sP2412: (fun(nat,fun(real,real)) * real * nat) > $o).
% 57.64/9.36 tff(pred_def_880, type, sP2413: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_881, type, sP2414: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0 * $o) > $o)).
% 57.64/9.36 tff(pred_def_882, type, sP2415: !>[X0: $tType]:(($o * list(X0) * fun(X0,fun(X0,$o))) > $o)).
% 57.64/9.36 tff(pred_def_883, type, sP2416: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0 * $o) > $o)).
% 57.64/9.36 tff(pred_def_884, type, sP2417: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_885, type, sP2418: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_886, type, sP2419: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_887, type, sP2420: !>[X0: $tType]:((set(set(X0)) * X0 * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_888, type, sP2421: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > $o)).
% 57.64/9.36 tff(pred_def_889, type, sP2422: (fun(nat,int) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_890, type, sP2423: (int * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_891, type, sP2424: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_892, type, sP2425: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_893, type, sP2426: (int * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_894, type, sP2427: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_895, type, sP2428: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_896, type, sP2429: (int * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_897, type, sP2430: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_898, type, sP2431: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_899, type, sP2432: (int * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_900, type, sP2433: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_901, type, sP2434: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_902, type, sP2435: !>[X0: $tType]:((list(X0) * fun(X0,$o) * nat) > $o)).
% 57.64/9.36 tff(pred_def_903, type, sP2436: (fun(real,fun(real,real)) * fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_904, type, sP2437: (real * fun(real,real) * real * fun(real,real)) > $o).
% 57.64/9.36 tff(pred_def_905, type, sP2438: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_906, type, sP2439: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_907, type, sP2440: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_908, type, sP2441: (fun(real,real) * fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_909, type, sP2442: (fun(int,$o) * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_910, type, sP2443: (int * set(int) * fun(int,$o) * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_911, type, sP2444: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_912, type, sP2445: (fun(int,$o) * set(int) * int) > $o).
% 57.64/9.36 tff(pred_def_913, type, sP2446: (int * set(int) * fun(int,$o) * fun(int,$o)) > $o).
% 57.64/9.36 tff(pred_def_914, type, sP2447: (int * fun(int,$o) * set(int)) > $o).
% 57.64/9.36 tff(pred_def_915, type, sP2448: (fun(nat,fun(real,real)) * real * nat) > $o).
% 57.64/9.36 tff(pred_def_916, type, sP2449: (fun(nat,fun(real,real)) * real * nat) > $o).
% 57.64/9.36 tff(pred_def_917, type, sP2450: (fun(nat,fun(real,real)) * real * nat) > $o).
% 57.64/9.36 tff(pred_def_918, type, sP2451: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_919, type, sP2452: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_920, type, sP2453: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > $o)).
% 57.64/9.36 tff(pred_def_921, type, sP2454: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_922, type, sP2455: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_923, type, sP2456: (nat * nat * int * int) > $o).
% 57.64/9.36 tff(pred_def_924, type, sP2457: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > $o)).
% 57.64/9.36 tff(pred_def_925, type, sP2458: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > $o)).
% 57.64/9.36 tff(pred_def_926, type, sP2459: (nat * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_927, type, sP2460: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_928, type, sP2461: !>[X0: $tType]:((option(X0) * option(X0) * option(X0)) > $o)).
% 57.64/9.36 tff(pred_def_929, type, sP2462: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > $o)).
% 57.64/9.36 tff(pred_def_930, type, sP2463: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > $o)).
% 57.64/9.36 tff(pred_def_931, type, sP2464: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > $o)).
% 57.64/9.36 tff(pred_def_932, type, sP2465: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > $o)).
% 57.64/9.36 tff(pred_def_933, type, sP2466: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > $o)).
% 57.64/9.36 tff(pred_def_934, type, sP2467: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > $o)).
% 57.64/9.36 tff(pred_def_935, type, sP2468: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > $o)).
% 57.64/9.36 tff(pred_def_936, type, sP2469: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_937, type, sP2470: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_938, type, sP2471: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_939, type, sP2472: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > $o)).
% 57.64/9.36 tff(pred_def_940, type, sP2473: (fun(real,real) * fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_941, type, sP2474: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > $o)).
% 57.64/9.36 tff(pred_def_942, type, sP2475: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_943, type, sP2476: !>[X0: $tType]:((X0 * fun(X0,fun(X0,$o)) * X0 * nat) > $o)).
% 57.64/9.36 tff(pred_def_944, type, sP2477: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_945, type, sP2478: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_946, type, sP2479: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_947, type, sP2480: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > $o)).
% 57.64/9.36 tff(pred_def_948, type, sP2481: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_949, type, sP2482: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_950, type, sP2483: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,$o) * X0) > $o)).
% 57.64/9.36 tff(pred_def_951, type, sP2484: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_952, type, sP2485: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > $o).
% 57.64/9.36 tff(pred_def_953, type, sP2486: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_954, type, sP2487: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_955, type, sP2488: (fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_956, type, sP2489: (fun(real,real) * fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_957, type, sP2490: (fun(real,real) * fun(real,real) * real * real) > $o).
% 57.64/9.36 tff(pred_def_958, type, sP2491: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 57.64/9.36 tff(pred_def_959, type, sP2492: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 57.64/9.36 tff(pred_def_960, type, sP2493: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_961, type, sP2494: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_962, type, sP2495: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_963, type, sP2496: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_964, type, sP2497: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_965, type, sP2498: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0) * list(X0)) > $o)).
% 57.64/9.36 tff(pred_def_966, type, sP2499: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,$o) * X1) > $o)).
% 57.64/9.36 tff(pred_def_967, type, sP2500: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,$o) * X1) > $o)).
% 57.64/9.36 tff(pred_def_968, type, sP2501: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 57.64/9.36 tff(pred_def_969, type, sP2502: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_970, type, sP2503: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_971, type, sP2504: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_972, type, sP2505: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_973, type, sP2506: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 57.64/9.36 tff(pred_def_974, type, sP2507: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_975, type, sP2508: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_976, type, sP2509: (list(vEBT_VEBT) * nat * nat) > $o).
% 57.64/9.36 tff(pred_def_977, type, sP2510: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_978, type, sP2511: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 57.64/9.36 tff(pred_def_979, type, sP2512: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,option(X0)) * X0 * X1 * X0) > $o)).
% 57.64/9.36 tff(pred_def_980, type, sP2513: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 57.64/9.36 tff(pred_def_981, type, sP2514: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > $o)).
% 57.64/9.36 tff(pred_def_982, type, sP2515: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > $o)).
% 57.64/9.36 tff(pred_def_983, type, sP2516: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set(X2) * set(X0) * fun(X0,set(X1)) * fun(X1,X3) * fun(X2,set(X3))) > $o)).
% 57.64/9.36 tff(pred_def_984, type, sP2517: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > $o)).
% 57.64/9.36 tff(f119608,plain,(
% 57.64/9.36 $false),
% 57.64/9.36 inference(avatar_sat_refutation,[],[f78451,f78456,f78461,f78466,f78471,f78476,f78481,f78486,f78491,f78496,f78501,f78506,f78511,f78516,f78521,f78526,f78531,f78536,f78541,f78546,f78551,f78556,f78561,f78566,f78571,f78576,f78581,f78586,f78591,f78596,f78601,f78606,f78611,f78616,f78621,f78626,f78631,f78636,f78641,f78646,f78651,f78656,f78661,f78666,f78671,f78676,f78681,f78686,f78691,f78696,f78701,f78706,f78711,f78716,f78721,f78726,f78731,f78736,f78741,f78746,f78751,f78756,f78761,f78766,f78771,f78776,f78781,f78786,f78791,f78796,f78801,f78806,f78811,f78816,f78821,f78826,f78831,f78836,f78841,f78846,f78851,f78856,f78861,f78866,f78871,f78876,f78881,f78886,f78891,f78896,f78901,f78906,f78911,f78916,f78921,f78926,f78931,f78936,f78941,f78946,f78951,f78956,f78961,f78966,f78971,f78976,f78981,f78986,f78991,f78996,f79001,f79006,f79011,f79016,f79021,f79026,f79031,f79036,f79041,f79046,f79051,f79056,f79061,f79066,f79071,f79076,f79081,f79086,f79091,f79096,f79101,f79106,f79111,f79116,f79121,f79126,f79131,f79136,f79141,f79146,f79151,f79156,f79161,f79166,f79171,f79176,f79181,f79186,f79191,f79196,f79201,f79206,f79211,f79216,f79221,f79226,f79231,f79236,f79241,f79246,f79251,f79256,f79261,f79266,f79271,f79276,f79281,f79286,f79291,f79296,f79301,f79306,f79311,f79316,f79321,f79326,f79331,f79336,f79341,f79346,f79351,f79356,f79361,f79366,f79371,f79376,f79381,f79386,f79391,f79396,f79401,f79406,f79411,f79416,f79421,f79426,f79431,f79436,f79441,f79446,f79451,f79456,f79461,f79466,f79471,f79476,f79481,f79486,f79491,f79496,f79501,f79506,f79511,f79516,f79521,f79526,f79531,f79536,f79541,f79546,f79551,f79556,f79561,f79566,f79571,f79576,f79581,f79586,f79591,f79596,f79601,f79606,f79611,f79616,f79621,f79626,f79631,f79636,f79641,f79646,f79651,f79656,f79661,f79666,f79671,f79676,f79681,f79686,f79691,f79696,f79701,f79706,f79711,f79716,f79721,f79726,f79731,f79736,f79741,f79746,f79751,f79756,f79761,f79766,f79771,f79776,f79781,f79786,f79791,f79796,f79801,f79806,f79811,f79816,f79821,f79826,f79831,f79836,f79841,f79846,f79851,f79856,f79861,f79866,f79871,f79876,f79881,f79886,f79891,f79896,f79901,f79906,f79911,f79916,f79921,f79926,f79931,f79936,f79941,f79946,f79951,f79956,f79961,f79966,f79971,f79976,f79981,f79986,f79991,f79996,f80001,f80006,f80011,f80016,f80021,f80026,f80031,f80036,f80041,f80046,f80051,f80056,f80061,f80066,f80071,f80076,f80081,f80086,f80091,f80096,f80101,f80106,f80111,f80116,f80121,f80126,f80131,f80136,f80141,f80146,f80151,f80156,f80161,f80166,f80171,f80176,f80181,f80186,f80191,f80196,f80201,f80206,f80211,f80216,f80221,f80226,f80231,f80236,f80241,f80246,f80251,f80256,f80261,f80266,f80271,f80276,f80281,f80286,f80291,f80296,f80301,f80306,f80311,f80316,f80321,f80326,f80331,f80336,f80341,f80346,f80351,f80356,f80361,f80366,f80371,f80376,f80381,f80386,f80391,f80396,f80401,f80406,f80411,f80416,f80421,f80426,f80431,f80436,f80441,f80446,f80451,f80456,f80461,f80466,f80471,f80476,f80481,f80486,f80491,f80496,f80501,f80506,f80511,f80516,f80521,f80526,f80531,f80536,f80541,f80546,f80551,f80556,f80561,f80566,f80571,f80576,f80581,f80586,f80591,f80596,f80601,f80606,f80611,f80616,f80621,f80626,f80631,f80636,f80641,f80646,f80651,f80656,f80661,f80666,f80671,f80676,f80681,f80686,f80691,f80696,f80701,f80706,f80711,f80716,f80721,f80726,f80731,f80736,f80741,f80746,f80751,f80756,f80761,f80766,f80771,f80776,f80781,f80786,f80791,f80796,f80801,f80806,f80811,f80816,f80821,f80826,f80831,f80836,f80841,f80846,f80851,f80856,f80861,f80866,f80871,f80876,f80881,f80886,f80891,f80896,f80901,f80906,f80911,f80916,f80921,f80926,f80931,f80936,f80941,f80946,f80951,f80956,f80961,f80966,f80971,f80976,f80981,f80986,f80991,f80996,f81001,f81006,f81011,f81016,f81021,f81026,f81031,f81036,f81041,f81046,f81051,f81056,f81061,f81066,f81071,f81076,f81081,f81086,f81091,f81096,f81101,f81106,f81111,f81116,f81121,f81126,f81131,f81136,f81141,f81146,f81151,f81156,f81161,f81166,f81171,f81176,f81181,f81186,f81191,f81196,f81201,f81206,f81211,f81216,f81221,f81226,f81231,f81236,f81241,f81246,f81251,f81256,f81261,f81266,f81271,f81276,f81281,f81286,f81291,f81296,f81301,f81306,f81311,f81316,f81321,f81326,f81331,f81336,f81341,f81346,f81351,f81356,f81361,f81366,f81371,f81376,f81381,f81386,f81391,f81396,f81401,f81406,f81411,f81416,f81421,f81426,f81431,f81436,f81441,f81446,f81451,f81456,f81461,f81466,f81471,f81476,f81481,f81486,f81491,f81496,f81501,f81506,f81511,f81516,f81521,f81526,f81531,f81536,f81541,f81546,f81551,f81556,f81561,f81566,f81571,f81576,f81581,f81586,f81591,f81596,f81601,f81606,f81611,f81616,f81621,f81626,f81631,f81636,f81641,f81646,f81651,f81656,f81661,f81666,f81671,f81676,f81681,f81686,f81691,f81696,f81701,f81706,f81711,f81716,f81721,f81726,f81731,f81736,f81741,f81746,f81751,f81756,f81761,f81766,f81771,f81776,f81781,f81786,f81791,f81796,f81801,f81806,f81811,f81816,f81821,f81826,f81831,f81836,f81841,f81846,f81851,f81856,f81861,f81866,f81871,f81876,f81881,f81886,f81891,f81896,f81901,f81906,f81911,f81916,f81921,f81926,f81931,f81936,f81941,f81946,f81951,f81956,f81961,f81966,f81971,f81976,f81981,f81986,f81991,f81996,f82001,f82006,f82011,f82016,f82021,f82026,f82031,f82036,f82041,f82046,f82051,f82055,f82059,f82063,f82067,f82071,f82075,f82079,f82083,f82087,f82091,f82095,f82099,f82103,f82107,f82111,f82115,f82119,f82123,f82127,f82131,f82135,f82139,f82143,f82147,f82151,f82155,f82159,f82163,f82167,f82171,f82175,f82179,f82183,f82187,f82191,f82195,f82199,f82203,f82207,f82212,f82217,f82222,f82226,f82230,f82234,f82238,f82242,f82246,f82250,f82254,f82258,f82262,f82266,f82270,f82274,f82278,f82282,f82286,f82290,f82294,f82298,f82302,f82306,f82310,f82314,f82318,f82322,f82326,f82330,f82334,f82338,f82342,f82346,f82350,f82354,f82358,f82362,f82366,f82370,f82374,f82378,f82382,f82386,f82390,f82394,f82398,f82402,f82406,f82410,f82414,f82418,f82422,f82426,f82430,f82434,f82438,f82442,f82446,f82450,f82454,f82458,f82463,f82468,f82473,f82478,f82483,f82488,f82493,f82498,f82503,f82508,f82513,f82518,f82523,f82528,f82533,f82538,f82543,f82548,f82553,f82558,f82563,f82568,f82573,f82578,f82583,f82588,f82593,f82598,f82603,f82608,f82613,f82618,f82623,f82628,f82633,f82638,f82644,f82649,f82654,f82659,f82664,f82669,f82674,f82679,f82684,f82689,f82694,f82700,f82705,f82710,f82715,f82720,f82725,f82730,f82735,f82740,f82745,f82750,f82755,f82760,f82765,f82770,f82776,f82781,f82786,f82791,f82796,f82801,f82806,f82811,f82816,f82821,f82826,f82831,f82836,f82841,f82846,f82851,f82856,f82861,f82866,f82871,f82876,f82881,f82886,f82891,f82896,f82901,f82906,f82911,f82916,f82921,f82926,f82931,f82936,f82941,f82946,f82951,f82956,f82961,f82966,f82971,f82976,f82981,f82986,f82991,f82996,f83001,f83006,f83011,f83016,f83021,f83026,f83031,f83036,f83041,f83046,f83051,f83056,f83061,f83066,f83071,f83076,f83081,f83086,f83091,f83096,f83101,f83106,f83111,f83116,f83121,f83126,f83131,f83136,f83141,f83146,f83151,f83156,f83161,f83166,f83171,f83176,f83181,f83186,f83191,f83196,f83201,f83206,f83211,f83216,f83221,f83226,f83231,f83236,f83241,f83246,f83251,f83256,f83261,f83266,f83271,f83276,f83281,f83286,f83291,f83296,f83301,f83306,f83311,f83316,f83321,f83326,f83331,f83336,f83341,f83346,f83351,f83356,f83361,f83366,f83371,f83376,f83381,f83386,f83391,f83396,f83401,f83406,f83411,f83416,f83421,f83426,f83431,f83436,f83441,f83446,f83451,f83456,f83461,f83466,f83471,f83476,f83481,f83486,f83491,f83496,f83501,f83506,f83511,f83516,f83521,f83526,f83531,f83536,f83541,f83546,f83551,f83556,f83561,f83566,f83571,f83576,f83581,f83586,f83591,f83596,f83601,f83606,f83611,f83616,f83621,f83626,f83631,f83636,f83641,f83646,f83651,f83656,f83661,f83666,f83671,f83676,f83681,f83686,f83691,f83696,f83701,f83706,f83711,f83716,f83721,f83726,f83731,f83736,f83741,f83746,f83751,f83756,f83761,f83766,f83771,f83776,f83781,f83786,f83791,f83796,f83801,f83806,f83811,f83816,f83821,f83826,f83831,f83836,f83841,f83846,f83851,f83856,f83861,f83866,f83871,f83876,f83881,f83886,f83891,f83896,f83901,f83906,f83911,f83916,f83921,f83926,f83931,f83936,f83941,f83946,f83951,f83956,f83961,f83966,f83971,f83976,f83981,f83986,f83991,f83996,f84001,f84006,f84011,f84016,f84021,f84026,f84031,f84036,f84041,f84046,f84051,f84056,f84061,f84066,f84071,f84076,f84081,f84086,f84091,f84096,f84101,f84106,f84111,f84116,f84121,f84126,f84131,f84136,f84141,f84146,f84151,f84156,f84161,f84166,f84171,f84176,f84181,f84186,f84191,f84196,f84201,f84206,f84211,f84216,f84221,f84226,f84231,f84236,f84241,f84246,f84251,f84256,f84261,f84266,f84271,f84276,f84281,f84286,f84291,f84296,f84301,f84306,f84311,f84316,f84321,f84326,f84331,f84336,f84341,f84346,f84351,f84356,f84361,f84366,f84371,f84376,f84381,f84386,f84391,f84396,f84401,f84406,f84411,f84416,f84421,f84426,f84431,f84436,f84441,f84446,f84451,f84456,f84461,f84466,f84471,f84476,f84481,f84486,f84491,f84496,f84501,f84506,f84511,f84516,f84521,f84526,f84531,f84536,f84541,f84546,f84551,f84556,f84561,f84566,f84571,f84576,f84581,f84586,f84591,f84596,f84601,f84606,f84611,f84616,f84621,f84626,f84631,f84636,f84641,f84646,f84651,f84656,f84661,f84666,f84671,f84676,f84681,f84686,f84691,f84696,f84701,f84706,f84711,f84716,f84721,f84726,f84731,f84736,f84741,f84746,f84751,f84756,f84761,f84766,f84771,f84776,f84781,f84786,f84791,f84796,f84801,f84806,f84811,f84816,f84821,f84826,f84831,f84836,f84841,f84846,f84851,f84856,f84861,f84866,f84871,f84876,f84881,f84886,f84891,f84896,f84901,f84906,f84911,f84916,f84921,f84926,f84931,f84936,f84941,f84946,f84951,f84956,f84961,f84966,f84971,f84976,f84981,f84986,f84990,f84994,f84998,f85002,f85006,f85010,f85014,f85018,f85022,f85026,f85031,f85036,f85041,f85046,f85051,f85056,f85061,f85066,f85070,f85080,f85105,f85136,f85181,f85228,f85328,f85333,f85338,f85343,f85348,f85353,f85358,f85363,f85368,f85373,f85378,f85383,f85388,f85393,f85398,f85403,f85408,f85413,f85418,f85423,f85428,f85433,f85438,f85443,f85448,f85453,f85458,f85463,f85468,f85473,f85478,f85483,f85488,f85493,f85498,f85503,f85508,f85513,f85518,f85523,f85528,f85533,f85538,f85543,f85548,f85553,f85558,f85563,f85568,f85573,f85578,f85583,f85588,f85593,f85598,f85604,f85609,f85614,f85618,f85622,f85626,f85630,f85635,f85639,f85644,f85649,f85654,f85659,f85665,f85670,f85675,f85680,f85685,f85689,f85693,f85697,f85702,f85707,f85713,f85719,f85725,f85731,f85735,f85741,f85745,f85750,f85755,f85761,f85767,f85773,f85779,f85785,f85790,f85795,f85800,f85805,f85810,f85814,f85818,f85822,f85826,f85830,f85834,f85838,f85842,f85847,f85851,f85856,f85860,f85864,f85868,f85872,f85876,f85880,f85886,f85892,f85899,f85903,f85910,f85917,f85924,f85931,f85938,f85943,f85950,f85957,f85964,f85971,f85976,f85980,f85989,f85996,f86008,f86020,f86032,f86043,f86047,f86053,f86060,f86065,f86070,f86076,f86082,f86088,f86095,f86100,f86109,f86117,f86123,f86129,f86135,f86141,f86148,f86154,f86159,f86164,f86170,f86175,f86184,f86188,f86192,f86196,f86200,f86205,f86210,f86215,f86220,f86225,f86230,f86235,f86240,f86245,f86249,f86253,f86258,f86263,f86268,f86273,f86278,f86282,f86286,f86290,f86294,f86298,f86303,f86308,f86313,f86318,f86322,f86326,f86330,f86334,f86339,f86344,f86349,f86354,f86359,f86375,f86380,f86389,f86395,f86400,f86407,f86412,f86417,f86422,f86427,f86431,f86435,f86439,f86443,f86447,f86451,f86455,f86460,f86464,f86468,f86472,f86476,f86480,f86484,f86488,f86492,f86496,f86500,f86505,f86509,f86513,f86517,f86521,f86525,f86529,f86533,f86537,f86541,f86545,f86550,f86554,f86558,f86562,f86566,f86570,f86574,f86578,f86582,f86586,f86590,f86595,f86599,f86603,f86607,f86612,f86616,f86621,f86626,f86630,f86634,f86638,f86644,f86648,f86653,f86657,f86661,f86665,f86669,f86673,f86677,f86681,f86685,f86690,f86694,f86698,f86702,f86706,f86710,f86714,f86718,f86722,f86726,f86731,f86736,f86741,f86746,f86750,f86754,f86758,f86762,f86766,f86770,f86774,f86779,f86786,f86791,f86798,f86805,f86812,f86819,f86825,f86830,f86836,f86842,f86848,f86853,f86858,f86864,f86868,f87449,f87465,f87470,f87480,f87486,f87502,f87506,f87511,f87536,f87541,f87546,f87551,f87556,f87561,f87566,f87571,f87575,f87579,f87584,f87589,f87594,f87601,f87616,f87622,f87626,f87630,f87634,f87638,f87642,f87646,f87650,f87654,f87659,f87663,f87667,f87671,f87675,f87679,f87683,f87687,f87691,f87695,f87699,f87704,f87708,f87712,f87716,f87720,f87724,f87728,f87732,f87736,f87740,f87744,f87749,f87753,f87757,f87761,f87765,f87769,f87773,f87777,f87782,f87786,f87790,f87795,f87799,f87803,f87807,f87811,f87815,f87819,f87823,f87827,f87832,f87836,f87841,f87845,f87849,f87853,f87857,f87861,f87865,f87869,f87873,f87877,f87881,f87886,f87890,f87894,f87898,f87903,f87907,f87911,f87915,f87919,f87923,f87927,f87932,f87936,f87940,f87944,f87948,f87952,f87956,f87960,f87964,f87968,f87972,f87977,f87981,f87985,f87989,f87993,f87997,f88001,f88005,f88009,f88013,f88017,f88022,f88026,f88030,f88034,f88038,f88042,f88046,f88050,f88054,f88058,f88062,f88067,f88071,f88075,f88079,f88083,f88087,f88091,f88095,f88099,f88103,f88107,f88112,f88116,f88120,f88124,f88128,f88132,f88136,f88140,f88144,f88148,f88152,f88157,f88161,f88165,f88169,f88173,f88177,f88181,f88185,f88189,f88193,f88197,f88202,f88206,f88210,f88214,f88218,f88222,f88226,f88230,f88234,f88238,f88242,f88247,f88251,f88255,f88259,f88263,f88267,f88271,f88275,f88279,f88283,f88287,f88292,f88296,f88300,f88304,f88308,f88312,f88316,f88320,f88324,f88328,f88332,f88337,f88341,f88345,f88349,f88353,f88357,f88361,f88365,f88369,f88373,f88377,f88382,f88386,f88390,f88394,f88398,f88402,f88406,f88410,f88414,f88418,f88422,f88427,f88431,f88435,f88439,f88443,f88447,f88451,f88455,f88459,f88463,f88467,f88472,f88476,f88480,f88484,f88488,f88492,f88496,f88500,f88504,f88508,f88512,f88517,f88521,f88525,f88529,f88533,f88537,f88541,f88545,f88549,f88553,f88557,f88562,f88566,f88570,f88574,f88578,f88582,f88586,f88590,f88594,f88598,f88602,f88607,f88611,f88615,f88619,f88623,f88627,f88631,f88635,f88639,f88643,f88647,f88652,f88656,f88660,f88664,f88668,f88672,f88676,f88680,f88684,f88688,f88692,f88697,f88701,f88705,f88709,f88713,f88717,f88721,f88725,f88729,f88733,f88737,f88742,f88746,f88750,f88754,f88758,f88762,f88766,f88770,f88774,f88778,f88782,f88787,f88791,f88795,f88799,f88803,f88807,f88811,f88815,f88819,f88823,f88827,f88832,f88836,f88840,f88844,f88848,f88852,f88856,f88860,f88864,f88868,f88872,f88877,f88881,f88885,f88889,f88893,f88897,f88901,f88905,f88909,f88913,f88917,f88922,f88926,f88930,f88934,f88938,f88942,f88946,f88950,f88954,f88958,f88962,f88967,f88971,f88975,f88979,f88983,f88987,f88991,f88995,f88999,f89003,f89007,f89012,f89016,f89020,f89024,f89028,f89032,f89036,f89040,f89044,f89048,f89052,f89057,f89061,f89065,f89069,f89073,f89077,f89081,f89085,f89089,f89093,f89097,f89102,f89106,f89110,f89114,f89118,f89122,f89126,f89130,f89134,f89138,f89142,f89147,f89151,f89155,f89159,f89163,f89167,f89171,f89175,f89179,f89183,f89187,f89192,f89196,f89200,f89204,f89208,f89212,f89216,f89220,f89224,f89228,f89232,f89237,f89241,f89245,f89249,f89253,f89257,f89261,f89265,f89269,f89273,f89277,f89282,f89286,f89290,f89294,f89298,f89302,f89306,f89310,f89314,f89318,f89322,f89326,f89330,f89334,f89338,f89342,f89346,f89350,f89354,f89358,f89362,f89367,f89371,f89375,f89379,f89383,f89387,f89391,f89395,f89399,f89403,f89407,f89412,f89416,f89420,f89424,f89428,f89432,f89436,f89440,f89444,f89448,f89452,f89457,f89461,f89465,f89469,f89473,f89477,f89481,f89485,f89489,f89493,f89497,f89502,f89506,f89510,f89514,f89518,f89522,f89526,f89530,f89534,f89538,f89542,f89547,f89551,f89555,f89559,f89563,f89567,f89571,f89575,f89579,f89583,f89587,f89592,f89596,f89600,f89604,f89608,f89612,f89616,f89620,f89624,f89628,f89632,f89637,f89641,f89645,f89649,f89653,f89657,f89661,f89665,f89669,f89673,f89677,f89682,f89686,f89690,f89694,f89698,f89702,f89706,f89710,f89714,f89718,f89722,f89727,f89731,f89735,f89739,f89743,f89747,f89751,f89755,f89759,f89763,f89767,f89772,f89776,f89780,f89784,f89788,f89792,f89796,f89800,f89804,f89808,f89812,f89817,f89821,f89825,f89829,f89833,f89837,f89841,f89845,f89849,f89853,f89857,f89862,f89866,f89870,f89874,f89878,f89882,f89886,f89891,f89898,f89901,f89908,f89916,f89925,f89930,f89935,f89939,f89943,f89947,f89952,f89956,f89960,f89964,f89968,f89972,f89976,f89980,f89984,f89988,f89992,f89997,f90001,f90005,f90009,f90013,f90017,f90021,f90025,f90029,f90033,f90037,f90042,f90046,f90050,f90054,f90058,f90062,f90066,f90070,f90074,f90078,f90082,f90087,f90091,f90095,f90099,f90103,f90107,f90111,f90115,f90119,f90123,f90127,f90132,f90136,f90140,f90144,f90148,f90152,f90156,f90160,f90164,f90168,f90172,f90177,f90181,f90185,f90189,f90193,f90197,f90201,f90205,f90209,f90213,f90217,f90222,f90226,f90230,f90234,f90238,f90242,f90246,f90250,f90254,f90258,f90262,f90267,f90271,f90276,f90281,f90290,f90297,f90302,f90312,f90313,f90319,f90335,f90340,f90344,f90348,f90352,f90359,f90363,f90372,f90377,f90382,f90387,f90392,f90397,f90402,f90406,f90410,f90414,f90418,f90422,f90426,f90430,f90434,f90438,f90442,f90447,f90451,f90455,f90459,f90463,f90467,f90471,f90475,f90479,f90483,f90487,f90492,f90496,f90500,f90504,f90508,f90513,f90518,f90523,f90528,f90533,f90538,f90544,f90548,f90553,f90557,f90561,f90565,f90569,f90574,f90579,f90584,f90589,f90595,f90599,f90604,f90609,f90614,f90619,f90624,f90629,f90634,f90639,f90644,f90650,f90655,f90660,f90665,f90670,f90675,f90680,f90686,f90693,f90700,f90706,f90711,f90715,f90720,f90725,f90730,f90735,f90740,f90745,f90750,f90755,f90760,f90766,f90770,f90775,f90780,f90785,f90790,f90795,f90800,f90805,f90810,f90815,f90821,f90825,f90830,f90835,f90840,f90845,f90850,f90855,f90860,f90865,f90870,f90876,f90880,f90885,f90915,f90950,f90985,f91010,f91021,f91049,f91057,f91092,f91105,f91128,f91163,f91198,f91233,f91268,f91303,f91338,f91373,f91408,f91443,f91478,f91513,f91548,f91583,f91618,f91653,f91688,f91723,f91758,f91793,f91828,f91863,f91898,f91933,f91968,f92003,f92038,f92073,f92108,f92143,f92178,f92213,f92248,f92283,f92318,f92353,f92388,f92423,f92458,f92493,f92528,f92563,f92596,f92631,f92657,f92674,f92688,f92693,f92697,f92702,f92712,f92716,f92720,f92724,f92728,f92732,f92736,f92783,f92787,f92791,f92795,f92799,f92803,f92807,f92811,f92819,f92823,f92827,f92831,f92835,f92839,f92843,f92847,f92851,f92855,f92859,f92863,f92867,f92871,f92875,f92880,f92886,f92891,f92895,f92899,f92903,f92907,f92911,f92915,f92919,f92923,f92927,f92931,f92935,f92939,f92943,f92947,f92951,f92955,f92959,f92963,f92967,f92971,f92975,f92979,f92983,f92987,f92991,f92995,f92999,f93003,f93007,f93011,f93015,f93019,f93023,f93030,f93073,f93083,f93087,f93091,f93095,f93099,f93103,f93107,f93111,f93115,f93119,f93124,f93129,f93134,f93139,f93144,f93148,f93152,f93156,f93160,f93164,f93168,f93172,f93176,f93180,f93184,f93188,f93192,f93196,f93200,f93204,f93208,f93212,f93216,f93220,f93224,f93228,f93232,f93236,f93240,f93244,f93248,f93252,f93256,f93260,f93264,f93268,f93272,f93276,f93280,f93284,f93288,f93292,f93296,f93300,f93304,f93308,f93312,f93316,f93320,f93324,f93328,f93332,f93336,f93340,f93344,f93348,f93352,f93356,f93360,f93364,f93368,f93372,f93376,f93380,f93384,f93388,f93392,f93396,f93400,f93404,f93408,f93412,f93416,f93420,f93424,f93428,f93432,f93436,f93440,f93444,f93448,f93452,f93456,f93460,f93464,f93468,f93472,f93476,f93480,f93484,f93488,f93492,f93496,f93501,f93506,f93511,f93515,f93519,f93524,f93529,f93534,f93539,f93544,f93549,f93554,f93559,f93564,f93568,f93572,f93576,f93580,f93584,f93588,f93592,f93596,f93600,f93604,f93608,f93612,f93616,f93621,f93626,f93631,f93636,f93641,f93646,f93651,f93656,f93662,f93667,f93672,f93676,f93681,f93686,f93691,f93696,f93702,f93707,f93712,f93717,f93722,f93727,f93733,f93739,f93745,f93751,f93757,f93763,f93769,f93775,f93780,f93785,f93790,f93795,f93800,f93805,f93810,f93815,f93820,f93825,f93830,f93835,f93840,f93845,f93850,f93855,f93860,f93865,f93870,f93875,f93880,f93885,f93890,f93895,f93900,f93905,f93910,f93915,f93920,f93925,f93930,f93935,f93940,f93945,f93950,f93955,f93960,f93965,f93970,f93975,f93980,f93985,f93990,f93995,f94000,f94005,f94010,f94015,f94020,f94025,f94030,f94035,f94040,f94045,f94050,f94055,f94060,f94065,f94070,f94075,f94080,f94085,f94090,f94095,f94100,f94105,f94110,f94115,f94120,f94125,f94130,f94135,f94140,f94145,f94150,f94155,f94160,f94165,f94170,f94331,f94335,f94339,f94343,f94347,f94351,f94355,f94359,f94363,f94367,f94371,f94375,f94415,f94419,f94423,f94427,f94431,f94435,f94439,f94443,f94447,f94451,f94455,f94459,f94463,f94467,f94471,f94475,f94479,f94483,f94487,f94491,f94495,f94499,f94503,f94507,f94511,f94515,f94519,f94523,f94527,f94531,f94535,f94539,f94543,f94547,f94551,f94555,f94559,f94563,f94567,f94571,f94575,f94579,f94583,f94587,f94591,f94595,f94599,f94603,f94607,f94611,f94615,f94619,f94623,f94627,f94631,f94635,f94639,f94643,f94647,f94651,f94655,f94659,f94663,f94667,f94671,f94675,f94679,f94683,f94687,f94691,f94695,f94699,f94703,f94707,f94711,f94715,f94719,f94723,f94727,f94731,f94735,f94739,f94743,f94747,f94751,f94755,f94759,f94763,f94767,f94771,f94775,f94779,f94783,f94787,f94791,f94795,f94799,f94803,f94807,f94811,f94815,f94819,f94823,f94827,f94831,f94835,f94839,f94934,f94938,f94942,f94946,f94950,f94954,f94959,f94964,f94969,f94973,f94977,f94981,f94985,f94989,f94993,f94997,f95001,f95005,f95009,f95013,f95017,f95021,f95025,f95029,f95033,f95037,f95041,f95045,f95049,f95053,f95057,f95061,f95065,f95069,f95078,f95088,f95095,f95104,f95110,f95115,f95120,f95124,f95128,f95134,f95138,f95142,f95146,f95150,f95154,f95158,f95162,f95166,f95170,f95174,f95178,f95182,f95186,f95190,f95194,f95198,f95202,f95206,f95210,f95214,f95218,f95222,f95226,f95230,f95234,f95238,f95242,f95246,f95250,f95254,f95258,f95262,f95266,f95270,f95274,f95278,f95282,f95286,f95290,f95294,f95298,f95302,f95306,f95310,f95314,f95318,f95322,f95326,f95330,f95334,f95338,f95342,f95346,f95350,f95354,f95358,f95362,f95366,f95370,f95374,f95378,f95382,f95386,f95390,f95394,f95398,f95402,f95406,f95410,f95414,f95418,f95422,f95426,f95430,f95434,f95438,f95442,f95446,f95451,f95456,f95461,f95466,f95470,f95475,f95480,f95485,f95490,f95494,f95498,f95502,f95506,f95510,f95515,f95520,f95525,f95530,f95534,f95538,f95543,f95549,f95556,f95564,f95569,f95575,f95581,f95588,f95593,f95599,f95604,f95609,f95614,f95618,f95623,f95628,f95633,f95637,f95641,f95645,f95650,f95655,f95660,f95665,f95670,f95676,f95680,f95685,f95690,f95704,f95708,f95712,f96118,f96218,f96222,f96226,f96230,f96250,f96254,f96258,f96262,f96281,f96285,f96289,f96293,f96303,f96307,f96312,f96317,f96322,f96327,f96333,f96337,f96341,f96353,f96357,f96361,f96365,f96369,f96373,f96377,f96381,f96464,f96468,f96472,f96476,f96480,f96484,f96488,f96492,f96496,f96500,f96504,f96508,f96512,f96516,f96520,f96525,f96529,f96534,f96539,f96543,f96547,f96551,f96555,f96559,f96563,f96567,f96571,f96575,f96579,f96583,f96587,f96591,f96595,f96599,f96603,f96607,f96611,f96615,f96619,f96623,f96627,f96631,f96635,f96639,f96643,f96647,f96651,f96655,f96659,f96663,f96667,f96671,f96675,f96679,f96683,f96687,f96691,f96695,f96699,f96703,f96707,f96711,f96715,f96719,f96723,f96727,f96731,f96735,f96739,f96743,f96747,f96751,f96755,f96759,f96763,f96767,f96771,f96775,f96779,f96783,f96787,f96791,f96795,f96799,f96803,f96807,f96811,f96815,f96819,f96823,f96827,f96831,f96835,f96839,f96843,f96848,f96853,f96858,f96863,f96868,f96873,f96877,f96881,f96885,f96890,f96895,f96900,f96905,f96909,f96913,f96917,f96921,f96925,f96929,f96933,f96937,f96941,f96945,f96949,f96953,f96957,f96962,f96967,f96972,f96977,f96982,f96987,f96992,f96997,f97002,f97007,f97015,f97020,f97029,f97034,f97039,f97044,f97050,f97056,f97060,f97066,f97070,f97075,f97080,f97084,f97088,f97093,f97098,f97103,f97108,f97113,f97118,f97150,f97157,f97161,f97285,f97289,f97293,f97297,f97301,f97305,f97378,f97382,f97386,f97390,f97394,f97398,f97402,f97406,f97410,f97414,f97418,f97422,f97426,f97431,f97435,f97439,f97443,f97448,f97452,f97456,f97460,f97464,f97468,f97472,f97532,f97536,f97540,f97544,f97548,f97552,f97557,f97562,f97567,f97572,f97577,f97582,f97587,f97592,f97597,f97602,f97607,f97612,f97617,f97622,f97627,f97632,f97637,f97641,f97645,f97649,f97653,f97657,f97661,f97665,f97669,f97673,f97677,f97681,f97685,f97689,f97693,f97697,f97701,f97705,f97709,f97713,f97717,f97721,f97725,f97729,f97733,f97737,f97741,f97745,f97749,f97753,f97757,f97761,f97765,f97769,f97773,f97777,f97781,f97785,f97789,f97793,f97797,f97801,f97805,f97809,f97813,f97817,f97821,f97825,f97829,f97833,f97837,f97841,f97845,f97849,f97853,f97857,f97861,f97865,f97869,f97873,f97877,f97881,f97885,f97889,f97893,f97897,f97901,f97905,f97909,f97913,f97917,f97921,f97925,f97929,f97933,f97937,f97941,f97945,f97949,f97953,f97957,f97961,f97965,f97969,f97973,f97977,f97981,f97985,f97989,f97993,f97997,f98001,f98005,f98009,f98013,f98017,f98021,f98025,f98029,f98033,f98037,f98041,f98045,f98049,f98054,f98059,f98065,f98072,f98076,f98080,f98084,f98088,f98092,f98096,f98100,f98104,f98108,f98113,f98118,f98123,f98128,f98133,f98138,f98143,f98149,f98154,f98159,f98164,f98169,f98173,f98177,f98182,f98187,f98192,f98197,f98201,f98205,f98212,f98218,f98223,f98227,f98233,f98239,f98245,f98250,f98256,f98261,f98266,f98270,f98276,f98282,f98288,f98294,f98300,f98306,f98312,f98318,f98323,f98328,f98333,f98338,f98343,f98348,f98353,f98359,f98365,f98370,f98375,f98379,f98383,f98387,f98391,f98395,f98399,f98403,f98407,f98411,f98415,f98419,f98423,f98427,f98431,f98435,f98439,f98829,f98833,f98837,f98841,f98845,f98849,f98853,f98857,f98865,f98869,f98873,f98877,f98895,f98900,f98904,f98910,f98914,f98918,f98922,f98926,f98930,f98945,f98949,f98953,f98957,f98961,f98965,f98969,f98973,f98977,f98981,f98985,f98989,f98993,f98997,f99001,f99005,f99009,f99013,f99017,f99188,f99192,f99196,f99200,f99204,f99209,f99214,f99218,f99222,f99227,f99232,f99236,f99240,f99244,f99248,f99252,f99256,f99260,f99264,f99268,f99272,f99276,f99280,f99284,f99288,f99292,f99296,f99300,f99304,f99308,f99312,f99316,f99320,f99324,f99328,f99332,f99336,f99340,f99344,f99348,f99352,f99356,f99360,f99364,f99368,f99372,f99376,f99380,f99384,f99388,f99392,f99396,f99400,f99404,f99408,f99412,f99416,f99420,f99424,f99428,f99432,f99436,f99440,f99444,f99448,f99452,f99457,f99465,f99469,f99473,f99477,f99481,f99485,f99489,f99493,f99497,f99501,f99505,f99509,f99513,f99517,f99521,f99525,f99529,f99533,f99537,f99541,f99545,f99549,f99553,f99557,f99561,f99565,f99569,f99573,f99577,f99581,f99585,f99589,f99593,f99597,f99601,f99605,f99609,f99613,f99617,f99621,f99625,f99629,f99633,f99637,f99641,f99645,f99649,f99654,f99660,f99666,f99672,f99678,f99684,f99690,f99696,f99702,f99708,f99714,f99720,f99726,f99732,f99738,f99744,f99749,f99753,f99757,f99761,f99765,f99769,f99773,f99777,f99781,f99785,f99789,f99793,f99797,f99801,f99805,f99810,f99816,f99822,f99828,f99834,f99840,f99846,f99852,f99858,f99864,f99869,f99874,f99880,f99886,f99891,f99896,f99901,f99906,f99910,f99915,f99919,f99924,f99928,f99933,f99938,f99943,f99948,f99952,f99957,f99962,f99967,f99972,f99977,f99982,f99987,f99992,f99997,f100002,f100007,f100013,f100017,f100021,f100040,f100086,f100187,f100214,f100274,f100284,f100288,f100314,f100346,f100353,f100359,f100365,f100371,f100395,f100448,f100458,f100463,f100467,f100471,f100476,f100482,f100486,f100494,f100499,f100503,f100507,f100511,f100516,f100522,f100526,f100530,f100534,f100538,f100542,f100546,f100550,f100554,f100555,f100593,f100628,f100642,f100665,f100671,f100692,f100706,f100710,f100711,f100755,f100801,f100806,f100811,f100815,f100819,f100823,f100827,f100831,f100836,f100842,f100848,f100852,f100856,f100860,f100864,f100869,f100874,f100878,f100882,f100886,f100890,f100894,f100898,f100902,f100907,f100912,f100917,f100922,f100926,f100930,f100934,f100938,f100942,f100946,f100950,f100954,f100958,f100962,f100966,f100970,f100974,f100978,f100982,f100986,f100990,f100994,f100998,f101002,f101006,f101010,f101014,f101018,f101022,f101026,f101030,f101034,f101038,f101042,f101046,f101050,f101054,f101058,f101062,f101066,f101070,f101074,f101078,f101082,f101086,f101090,f101094,f101098,f101102,f101106,f101110,f101114,f101118,f101122,f101126,f101130,f101134,f101138,f101142,f101146,f101150,f101156,f101160,f101164,f101168,f101172,f101176,f101180,f101184,f101188,f101192,f101197,f101201,f101205,f101209,f101213,f101217,f101221,f101225,f101229,f101233,f101237,f101241,f101245,f101249,f101253,f101257,f101261,f101265,f101269,f101273,f101277,f101281,f101285,f101289,f101293,f101297,f101301,f101305,f101309,f101313,f101318,f101322,f101326,f101330,f101334,f101338,f101342,f101346,f101350,f101354,f101359,f101363,f101367,f101371,f101375,f101379,f101383,f101387,f101391,f101395,f101399,f101404,f101408,f101412,f101416,f101420,f101424,f101428,f101432,f101436,f101440,f101444,f101449,f101453,f101457,f101461,f101465,f101469,f101473,f101477,f101483,f101490,f101495,f101499,f101503,f101508,f101512,f101516,f101520,f101524,f101528,f101532,f101536,f101541,f101545,f101549,f101553,f101557,f101561,f101565,f101569,f101574,f101580,f101586,f101591,f101596,f101600,f101604,f101610,f101615,f101619,f101624,f101629,f101634,f101638,f101644,f101648,f101653,f101658,f101663,f101668,f101677,f101683,f101687,f101691,f101696,f101702,f101706,f101711,f101720,f101726,f101737,f101743,f101751,f101755,f101759,f101764,f101769,f101774,f101779,f101784,f101789,f101794,f101799,f101805,f101809,f101814,f101819,f101824,f101889,f101894,f101898,f101902,f101923,f101927,f101936,f101962,f101966,f102005,f102089,f102216,f102267,f102276,f102374,f102388,f102473,f102477,f102481,f102486,f102493,f102497,f102501,f102506,f102510,f102514,f102522,f102526,f102530,f102534,f102538,f102542,f102556,f102579,f102583,f102587,f102591,f102601,f102605,f102609,f102613,f102618,f102622,f102626,f102630,f102634,f102638,f102642,f102646,f102650,f102674,f102737,f102807,f102829,f102837,f102841,f102846,f102851,f102855,f102860,f102864,f102868,f102873,f102878,f102884,f102891,f102895,f102899,f102903,f102907,f102912,f102916,f102920,f102924,f102928,f102932,f102936,f102940,f102944,f102948,f102952,f102957,f102961,f102965,f102969,f102973,f102977,f102981,f102985,f102989,f102993,f102997,f103002,f103006,f103010,f103014,f103018,f103022,f103026,f103030,f103034,f103038,f103042,f103047,f103051,f103055,f103059,f103063,f103067,f103071,f103075,f103079,f103083,f103087,f103091,f103095,f103099,f103103,f103107,f103111,f103115,f103119,f103124,f103138,f103143,f103147,f103151,f103155,f103159,f103163,f103167,f103171,f103178,f103182,f103186,f103190,f103194,f103198,f103202,f103206,f103210,f103214,f103221,f103225,f103229,f103233,f103237,f103241,f103245,f103249,f103253,f103257,f103264,f103268,f103272,f103276,f103280,f103284,f103288,f103292,f103296,f103300,f103307,f103311,f103315,f103319,f103323,f103327,f103331,f103335,f103339,f103343,f103350,f103354,f103358,f103362,f103366,f103370,f103374,f103378,f103382,f103386,f103393,f103397,f103401,f103405,f103409,f103413,f103417,f103421,f103425,f103429,f103436,f103440,f103444,f103448,f103452,f103456,f103460,f103464,f103468,f103472,f103479,f103483,f103487,f103491,f103495,f103499,f103503,f103507,f103511,f103515,f103522,f103526,f103530,f103534,f103538,f103542,f103546,f103550,f103554,f103558,f103565,f103569,f103573,f103577,f103581,f103585,f103589,f103593,f103597,f103601,f103607,f103611,f103615,f103619,f103623,f103627,f103631,f103635,f103639,f103643,f103653,f103657,f103661,f103665,f103669,f103673,f103677,f103681,f103685,f103689,f103694,f103698,f103702,f103706,f103710,f103714,f103718,f103722,f103726,f103730,f103735,f103739,f103743,f103747,f103751,f103755,f103759,f103763,f103767,f103771,f103776,f103780,f103784,f103788,f103792,f103796,f103800,f103804,f103808,f103812,f103817,f103821,f103825,f103829,f103833,f103837,f103841,f103845,f103850,f103857,f103865,f103869,f103873,f103878,f103882,f103886,f103890,f103894,f103898,f103902,f103907,f103911,f103916,f103920,f103925,f103931,f103936,f103941,f103946,f103950,f103956,f103961,f103966,f103971,f103975,f103980,f103985,f103990,f103995,f104001,f104011,f104018,f104029,f104036,f104043,f104047,f104052,f104056,f104060,f104065,f104070,f104075,f104079,f104084,f104089,f104094,f104099,f104104,f104109,f104113,f104145,f104161,f104173,f104176,f104181,f104186,f104245,f104279,f104287,f104301,f104428,f104467,f104527,f104612,f104680,f104692,f104735,f104752,f104757,f104762,f104767,f104772,f104777,f104789,f104968,f105012,f105018,f105030,f105034,f105039,f105043,f105047,f105068,f105072,f105076,f105082,f105118,f105124,f105142,f105146,f105152,f105165,f105169,f105175,f105181,f105184,f105190,f105215,f105221,f105225,f105228,f105233,f105251,f105256,f105278,f105283,f105287,f105293,f105298,f105302,f105306,f105310,f105335,f105427,f105435,f105439,f105443,f105447,f105451,f105529,f105535,f105541,f105545,f105549,f105553,f105557,f105561,f105565,f105570,f105574,f105578,f105582,f105586,f105590,f105594,f105598,f105602,f105606,f105610,f105615,f105619,f105623,f105628,f105633,f105641,f105648,f105653,f105657,f105661,f105666,f105670,f105674,f105678,f105682,f105686,f105690,f105694,f105698,f105702,f105706,f105711,f105715,f105719,f105723,f105727,f105731,f105735,f105739,f105743,f105747,f105751,f105756,f105760,f105764,f105768,f105772,f105776,f105780,f105784,f105788,f105792,f105796,f105801,f105805,f105809,f105813,f105817,f105821,f105825,f105829,f105833,f105837,f105841,f105846,f105850,f105854,f105858,f105862,f105866,f105870,f105874,f105878,f105882,f105886,f105891,f105895,f105899,f105903,f105907,f105911,f105915,f105919,f105923,f105927,f105931,f105936,f105940,f105944,f105948,f105952,f105956,f105961,f105968,f105973,f105981,f105985,f105989,f105993,f105997,f106001,f106005,f106010,f106016,f106021,f106026,f106030,f106034,f106038,f106042,f106046,f106054,f106060,f106064,f106065,f106070,f106074,f106078,f106082,f106086,f106090,f106094,f106098,f106102,f106106,f106112,f106116,f106120,f106124,f106128,f106132,f106136,f106140,f106144,f106148,f106154,f106158,f106162,f106166,f106170,f106174,f106178,f106182,f106187,f106192,f106198,f106202,f106206,f106210,f106214,f106218,f106222,f106226,f106230,f106234,f106240,f106244,f106248,f106252,f106256,f106260,f106264,f106268,f106272,f106276,f106282,f106286,f106290,f106294,f106299,f106304,f106310,f106315,f106321,f106326,f106332,f106337,f106341,f106345,f106349,f106354,f106359,f106364,f106370,f106376,f106381,f106387,f106391,f106396,f106400,f106404,f106408,f106412,f106419,f106423,f106428,f106434,f106438,f106443,f106447,f106454,f106463,f106471,f106479,f106483,f106487,f106493,f106499,f106503,f106509,f106515,f106521,f106526,f106531,f106537,f106570,f106599,f106610,f106649,f106751,f106909,f107159,f107405,f107642,f107715,f107719,f107723,f107727,f107732,f107748,f107752,f107756,f107760,f107764,f107768,f107772,f107803,f107809,f107813,f107833,f107896,f107900,f107904,f107908,f107913,f107933,f108006,f108010,f108014,f108019,f108023,f108027,f108031,f108035,f108039,f108043,f108047,f108051,f108055,f108059,f108064,f108068,f108072,f108076,f108080,f108084,f108088,f108092,f108096,f108100,f108104,f108109,f108113,f108117,f108122,f108128,f108132,f108136,f108140,f108144,f108148,f108152,f108156,f108160,f108164,f108168,f108172,f108176,f108180,f108184,f108188,f108192,f108196,f108200,f108204,f108208,f108212,f108216,f108220,f108224,f108228,f108232,f108236,f108240,f108244,f108248,f108252,f108256,f108260,f108264,f108268,f108272,f108276,f108280,f108284,f108288,f108292,f108296,f108300,f108304,f108308,f108313,f108317,f108321,f108327,f108331,f108342,f108346,f108350,f108354,f108358,f108362,f108366,f108370,f108375,f108379,f108383,f108387,f108391,f108395,f108399,f108403,f108407,f108411,f108415,f108420,f108424,f108428,f108432,f108436,f108440,f108445,f108449,f108453,f108457,f108461,f108466,f108471,f108475,f108479,f108483,f108487,f108491,f108495,f108499,f108503,f108507,f108511,f108515,f108519,f108523,f108527,f108531,f108535,f108539,f108543,f108547,f108551,f108555,f108559,f108563,f108567,f108571,f108575,f108579,f108583,f108587,f108591,f108595,f108599,f108603,f108607,f108611,f108615,f108619,f108623,f108627,f108631,f108635,f108639,f108644,f108649,f108653,f108657,f108661,f108665,f108669,f108673,f108677,f108681,f108686,f108691,f108696,f108700,f108706,f108710,f108714,f108718,f108723,f108727,f108731,f108735,f108739,f108743,f108747,f108751,f108755,f108759,f108763,f108767,f108771,f108776,f108782,f108787,f108792,f108797,f108803,f108810,f108814,f108818,f108823,f108828,f108834,f108838,f108842,f108847,f108851,f108855,f108861,f108865,f108871,f108876,f108883,f108892,f108896,f108900,f108904,f108909,f108913,f108917,f108922,f108928,f108936,f108943,f108947,f108951,f108957,f108971,f108977,f108982,f108992,f108997,f109001,f109005,f109009,f109016,f109021,f109027,f109038,f109044,f109048,f109054,f109064,f109070,f109075,f109080,f109084,f109088,f109093,f109098,f109116,f109867,f109923,f110127,f110253,f110331,f110337,f110445,f110469,f110570,f110574,f110578,f110582,f110642,f110719,f110723,f110746,f110766,f110790,f110794,f110798,f110807,f110812,f110816,f110821,f110825,f110829,f110835,f110846,f110995,f111000,f111148,f111168,f111172,f111176,f111180,f111184,f111188,f111192,f111196,f111200,f111204,f111208,f111215,f111230,f111237,f111243,f111250,f111286,f111293,f111299,f111306,f111322,f111329,f111335,f111342,f111358,f111365,f111371,f111378,f111415,f111423,f111429,f111436,f111453,f111460,f111466,f111471,f111495,f111500,f111506,f111511,f111525,f111530,f111544,f111548,f111552,f111556,f111560,f111564,f111568,f111572,f111576,f111580,f111584,f111588,f111592,f111596,f111600,f111604,f111608,f111612,f111616,f111620,f111624,f111628,f111632,f111636,f111640,f111644,f111648,f111652,f111656,f111660,f111664,f111668,f111672,f111676,f111680,f111684,f111688,f111692,f111696,f111700,f111704,f111708,f111712,f111716,f111720,f111724,f111728,f111732,f111736,f111740,f111744,f111748,f111752,f111756,f111760,f111764,f111768,f111772,f111776,f111780,f111791,f111795,f111799,f111803,f111807,f111811,f111815,f111819,f111823,f111827,f111838,f111842,f111846,f111850,f111854,f111858,f111862,f111866,f111870,f111874,f111885,f111889,f111893,f111897,f111901,f111905,f111909,f111913,f111917,f111921,f111925,f111929,f111933,f111937,f111941,f111945,f111949,f111953,f111957,f111961,f111966,f111970,f111974,f111978,f111982,f111986,f111990,f111994,f111998,f112002,f112006,f112010,f112014,f112018,f112022,f112026,f112030,f112034,f112038,f112042,f112047,f112051,f112055,f112059,f112063,f112067,f112071,f112075,f112079,f112083,f112088,f112092,f112096,f112100,f112104,f112108,f112112,f112116,f112120,f112124,f112130,f112134,f112138,f112142,f112146,f112150,f112154,f112158,f112162,f112166,f112172,f112176,f112180,f112184,f112188,f112192,f112196,f112200,f112204,f112208,f112213,f112217,f112221,f112225,f112229,f112233,f112237,f112241,f112245,f112249,f112254,f112258,f112262,f112266,f112270,f112274,f112278,f112282,f112286,f112290,f112295,f112299,f112303,f112307,f112311,f112315,f112319,f112323,f112327,f112331,f112336,f112340,f112344,f112348,f112352,f112356,f112360,f112364,f112368,f112372,f112377,f112381,f112385,f112389,f112393,f112397,f112401,f112405,f112409,f112413,f112419,f112423,f112428,f112436,f112440,f112444,f112448,f112452,f112456,f112460,f112464,f112468,f112472,f112476,f112481,f112486,f112490,f112494,f112498,f112502,f112506,f112510,f112514,f112518,f112522,f112526,f112530,f112535,f112539,f112543,f112548,f112553,f112560,f112601,f112606,f112611,f112615,f112619,f112624,f112629,f112633,f112637,f112641,f112645,f112650,f112655,f112659,f112665,f112669,f112686,f112692,f112709,f112715,f112726,f112730,f112736,f112740,f112744,f112751,f112762,f112768,f112776,f112782,f112787,f112799,f112804,f112810,f112827,f112831,f112835,f112841,f112848,f112854,f112863,f112869,f112873,f112879,f112883,f112893,f112898,f112902,f112906,f112910,f112914,f112918,f112922,f112926,f112930,f112935,f112939,f112945,f112949,f113002,f113161,f113412,f113532,f114697,f115031,f115070,f115123,f115169,f115404,f115544,f115549,f115554,f115559,f115576,f115618,f115961,f116052,f116152,f116156,f116160,f116252,f116282,f116290,f116332,f116370,f116389,f116394,f116398,f116433,f116475,f116479,f116484,f116488,f116496,f116502,f116510,f116516,f116524,f116530,f116539,f116543,f116549,f116557,f116563,f116571,f116577,f116585,f116590,f116596,f116604,f116610,f116618,f116624,f116632,f118074,f118080,f118086,f118092,f118098,f118102,f118106,f118112,f118122,f118128,f118134,f118140,f118146,f118152,f118162,f118168,f118174,f118180,f118186,f118192,f118211,f118217,f118221,f118240,f118244,f118248,f118252,f118256,f118260,f118264,f118268,f118272,f118276,f118280,f118284,f118288,f118292,f118296,f118300,f118304,f118308,f118312,f118316,f118320,f118324,f118328,f118332,f118336,f118340,f118344,f118348,f118352,f118356,f118360,f118364,f118368,f118372,f118376,f118380,f118384,f118388,f118392,f118396,f118400,f118404,f118408,f118412,f118416,f118420,f118424,f118428,f118432,f118436,f118440,f118444,f118448,f118452,f118456,f118460,f118464,f118468,f118472,f118476,f118480,f118484,f118488,f118492,f118496,f118501,f118510,f118514,f118518,f118522,f118526,f118530,f118534,f118538,f118542,f118546,f118550,f118554,f118558,f118562,f118566,f118570,f118574,f118578,f118582,f118586,f118590,f118594,f118598,f118602,f118606,f118610,f118614,f118618,f118622,f118626,f118630,f118634,f118638,f118642,f118646,f118650,f118654,f118658,f118662,f118666,f118670,f118674,f118678,f118682,f118686,f118690,f118694,f118698,f118702,f118706,f118710,f118714,f118718,f118722,f118726,f118730,f118734,f118738,f118742,f118746,f118750,f118754,f118758,f118762,f118766,f118770,f118774,f118778,f118783,f118787,f118791,f118795,f118799,f118803,f118807,f118811,f118815,f118819,f118823,f118827,f118831,f118835,f118839,f118843,f118847,f118851,f118855,f118859,f118863,f118867,f118871,f118875,f118879,f118883,f118887,f118891,f118896,f118900,f118904,f118908,f118912,f118916,f118920,f118924,f118928,f118932,f118936,f118940,f118944,f118948,f118952,f118957,f118962,f118967,f118972,f118976,f118983,f118987,f118995,f118999,f119003,f119007,f119011,f119015,f119019,f119023,f119027,f119031,f119035,f119039,f119043,f119047,f119051,f119056,f119060,f119064,f119068,f119072,f119200,f119344,f119486,f119607])).
% 57.64/9.36 tff(f119607,plain,(
% 57.64/9.36 ~spl5880_5402),
% 57.64/9.36 inference(avatar_contradiction_clause,[],[f119606])).
% 57.64/9.36 tff(f119606,plain,(
% 57.64/9.36 $false | ~spl5880_5402),
% 57.64/9.36 inference(equality_resolution,[],[f118216])).
% 57.64/9.36 tff(f118216,plain,(
% 57.64/9.36 ( ! [X0 : nat,X1 : nat] : (X0 != X1) ) | ~spl5880_5402),
% 57.64/9.36 inference(avatar_component_clause,[],[f118215])).
% 57.64/9.36 tff(f118215,plain,(
% 57.64/9.36 spl5880_5402 <=> ! [X0 : nat,X1 : nat] : X0 != X1),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5402])])).
% 57.64/9.36 tff(f119486,plain,(
% 57.64/9.36 spl5880_5610 | ~spl5880_4678 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f117152,f114695,f106748,f119484])).
% 57.64/9.36 tff(f119484,plain,(
% 57.64/9.36 spl5880_5610 <=> ! [X0 : nat] : sP2116(X0,iG271)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5610])])).
% 57.64/9.36 tff(f106748,plain,(
% 57.64/9.36 spl5880_4678 <=> sP2116(iG717($true),iG271)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4678])])).
% 57.64/9.36 tff(f114695,plain,(
% 57.64/9.36 spl5880_5330 <=> ! [X0 : nat,X1 : nat] : X0 = X1),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5330])])).
% 57.64/9.36 tff(f117152,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (sP2116(X0,iG271)) ) | (~spl5880_4678 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f106750,f114696])).
% 57.64/9.36 tff(f114696,plain,(
% 57.64/9.36 ( ! [X0 : nat,X1 : nat] : (X0 = X1) ) | ~spl5880_5330),
% 57.64/9.36 inference(avatar_component_clause,[],[f114695])).
% 57.64/9.36 tff(f106750,plain,(
% 57.64/9.36 sP2116(iG717($true),iG271) | ~spl5880_4678),
% 57.64/9.36 inference(avatar_component_clause,[],[f106748])).
% 57.64/9.36 tff(f119344,plain,(
% 57.64/9.36 spl5880_5609 | ~spl5880_4677 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f117151,f114695,f106646,f119342])).
% 57.64/9.36 tff(f119342,plain,(
% 57.64/9.36 spl5880_5609 <=> ! [X0 : nat] : sP2116(iG271,X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5609])])).
% 57.64/9.36 tff(f106646,plain,(
% 57.64/9.36 spl5880_4677 <=> sP2116(iG271,iG717($true))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4677])])).
% 57.64/9.36 tff(f117151,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (sP2116(iG271,X0)) ) | (~spl5880_4677 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f106648,f114696])).
% 57.64/9.36 tff(f106648,plain,(
% 57.64/9.36 sP2116(iG271,iG717($true)) | ~spl5880_4677),
% 57.64/9.36 inference(avatar_component_clause,[],[f106646])).
% 57.64/9.36 tff(f119200,plain,(
% 57.64/9.36 spl5880_5608 | ~spl5880_4676 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f117150,f114695,f106607,f119198])).
% 57.64/9.36 tff(f119198,plain,(
% 57.64/9.36 spl5880_5608 <=> ! [X0 : nat] : sP2115(X0,iG271)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5608])])).
% 57.64/9.36 tff(f106607,plain,(
% 57.64/9.36 spl5880_4676 <=> sP2115(iG717($true),iG271)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4676])])).
% 57.64/9.36 tff(f117150,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (sP2115(X0,iG271)) ) | (~spl5880_4676 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f106609,f114696])).
% 57.64/9.36 tff(f106609,plain,(
% 57.64/9.36 sP2115(iG717($true),iG271) | ~spl5880_4676),
% 57.64/9.36 inference(avatar_component_clause,[],[f106607])).
% 57.64/9.36 tff(f119072,plain,(
% 57.64/9.36 spl5880_5607 | ~spl5880_4675 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f117149,f114695,f106596,f119070])).
% 57.64/9.36 tff(f119070,plain,(
% 57.64/9.36 spl5880_5607 <=> ! [X0 : nat] : sP2115(iG271,X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5607])])).
% 57.64/9.36 tff(f106596,plain,(
% 57.64/9.36 spl5880_4675 <=> sP2115(iG271,iG717($true))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4675])])).
% 57.64/9.36 tff(f117149,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (sP2115(iG271,X0)) ) | (~spl5880_4675 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f106598,f114696])).
% 57.64/9.36 tff(f106598,plain,(
% 57.64/9.36 sP2115(iG271,iG717($true)) | ~spl5880_4675),
% 57.64/9.36 inference(avatar_component_clause,[],[f106596])).
% 57.64/9.36 tff(f119068,plain,(
% 57.64/9.36 spl5880_5606),
% 57.64/9.36 inference(avatar_split_clause,[],[f75780,f119066])).
% 57.64/9.36 tff(f119066,plain,(
% 57.64/9.36 spl5880_5606 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),aTP_Lamp_aby(num,option(num)),sK4919(X0,X1)) = X0 | ~sP2310(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5606])])).
% 57.64/9.36 tff(f75780,plain,(
% 57.64/9.36 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),aTP_Lamp_aby(num,option(num)),sK4919(X0,X1)) = X0 | ~sP2310(X0,X1,X2)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f61247,f50399])).
% 57.64/9.36 tff(f50399,plain,(
% 57.64/9.36 ( ! [X0 : num] : (aa(num,option(num),aTP_Lamp_aby(num,option(num)),X0) = aa(num,option(num),some(num),aa(num,num,bit1,X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22925])).
% 57.64/9.36 tff(f22925,plain,(
% 57.64/9.36 ! [X0 : num] : aa(num,option(num),aTP_Lamp_aby(num,option(num)),X0) = aa(num,option(num),some(num),aa(num,num,bit1,X0))),
% 57.64/9.36 inference(rectify,[],[f8216])).
% 57.64/9.36 tff(f8216,axiom,(
% 57.64/9.36 ! [X105 : num] : aa(num,option(num),aTP_Lamp_aby(num,option(num)),X105) = aa(num,option(num),some(num),aa(num,num,bit1,X105))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8215_ATP_Olambda__35)).
% 57.64/9.36 tff(f61247,plain,(
% 57.64/9.36 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,sK4919(X0,X1))) = X0 | ~sP2310(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f43803])).
% 57.64/9.36 tff(f43803,plain,(
% 57.64/9.36 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4919(X0,X1))))) & aa(num,option(num),some(num),aa(num,num,bit1,sK4919(X0,X1))) = X0 & aa(num,num,bit0,sK4919(X0,X1)) = X1) & one2 = X2) | ~sP2310(X0,X1,X2))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4919])],[f43801,f43802])).
% 57.64/9.36 tff(f43802,plain,(
% 57.64/9.36 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4919(X0,X1))))) & aa(num,option(num),some(num),aa(num,num,bit1,sK4919(X0,X1))) = X0 & aa(num,num,bit0,sK4919(X0,X1)) = X1))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f43801,plain,(
% 57.64/9.36 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP2310(X0,X1,X2))),
% 57.64/9.36 inference(rectify,[],[f43800])).
% 57.64/9.36 tff(f43800,plain,(
% 57.64/9.36 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2310(X2,X1,X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f37625])).
% 57.64/9.36 tff(f37625,plain,(
% 57.64/9.36 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2310(X2,X1,X0))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2310])])).
% 57.64/9.36 tff(f119064,plain,(
% 57.64/9.36 spl5880_5605),
% 57.64/9.36 inference(avatar_split_clause,[],[f75768,f119062])).
% 57.64/9.36 tff(f119062,plain,(
% 57.64/9.36 spl5880_5605 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),aTP_Lamp_aby(num,option(num)),sK4895(X0,X1)) = X0 | ~sP2294(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5605])])).
% 57.64/9.36 tff(f75768,plain,(
% 57.64/9.36 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),aTP_Lamp_aby(num,option(num)),sK4895(X0,X1)) = X0 | ~sP2294(X0,X1,X2)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f61187,f50399])).
% 57.64/9.36 tff(f61187,plain,(
% 57.64/9.36 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,sK4895(X0,X1))) = X0 | ~sP2294(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f43729])).
% 57.64/9.36 tff(f43729,plain,(
% 57.64/9.36 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),aa(num,num,bit1,sK4895(X0,X1))) = X0 & aa(num,num,bit0,sK4895(X0,X1)) = X1) & one2 = X2) | ~sP2294(X0,X1,X2))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4895])],[f43727,f43728])).
% 57.64/9.36 tff(f43728,plain,(
% 57.64/9.36 ! [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,sK4895(X0,X1))) = X0 & aa(num,num,bit0,sK4895(X0,X1)) = X1))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f43727,plain,(
% 57.64/9.36 ! [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) | ~sP2294(X0,X1,X2))),
% 57.64/9.36 inference(rectify,[],[f43726])).
% 57.64/9.36 tff(f43726,plain,(
% 57.64/9.36 ! [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) | ~sP2294(X2,X1,X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f37607])).
% 57.64/9.36 tff(f37607,plain,(
% 57.64/9.36 ! [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) | ~sP2294(X2,X1,X0))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2294])])).
% 57.64/9.36 tff(f119060,plain,(
% 57.64/9.36 spl5880_5604),
% 57.64/9.36 inference(avatar_split_clause,[],[f74940,f119058])).
% 57.64/9.36 tff(f119058,plain,(
% 57.64/9.36 spl5880_5604 <=> ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : X0] : member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aTP_Lamp_ms(X0,product_prod(X0,X0)),X1),transitive_rtrancl(X0,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5604])])).
% 57.64/9.36 tff(f74940,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aTP_Lamp_ms(X0,product_prod(X0,X0)),X1),transitive_rtrancl(X0,X2))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f60092,f56901])).
% 57.64/9.36 tff(f56901,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X1) = aa(X0,product_prod(X0,X0),aTP_Lamp_ms(X0,product_prod(X0,X0)),X1)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f25454])).
% 57.64/9.36 tff(f25454,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0] : aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X1) = aa(X0,product_prod(X0,X0),aTP_Lamp_ms(X0,product_prod(X0,X0)),X1)),
% 57.64/9.36 inference(rectify,[],[f8197])).
% 57.64/9.36 tff(f8197,axiom,(
% 57.64/9.36 ! [X1 : $tType,X105 : X1] : aa(X1,product_prod(X1,X1),aTP_Lamp_ms(X1,product_prod(X1,X1)),X105) = aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X105),X105)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8196_ATP_Olambda__16)).
% 57.64/9.36 tff(f60092,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X1),transitive_rtrancl(X0,X2))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f26325])).
% 57.64/9.36 tff(f26325,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : set(product_prod(X0,X0))] : member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X1),transitive_rtrancl(X0,X2))),
% 57.64/9.36 inference(rectify,[],[f7650])).
% 57.64/9.36 tff(f7650,axiom,(
% 57.64/9.36 ! [X0 : $tType,X11 : X0,X92 : set(product_prod(X0,X0))] : member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X11),X11),transitive_rtrancl(X0,X92))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7649_rtrancl_Ortrancl__refl)).
% 57.64/9.36 tff(f119056,plain,(
% 57.64/9.36 spl5880_5603),
% 57.64/9.36 inference(avatar_split_clause,[],[f73533,f119054])).
% 57.64/9.36 tff(f119054,plain,(
% 57.64/9.36 spl5880_5603 <=> ! [X0 : fun(nat,$o)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),sK4082(X0))) | ~sP2094(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5603])])).
% 57.64/9.36 tff(f73533,plain,(
% 57.64/9.36 ( ! [X0 : fun(nat,$o)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),sK4082(X0))) | ~sP2094(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f58870,f67338])).
% 57.64/9.36 tff(f67338,plain,(
% 57.64/9.36 zero_zero(nat) = iG894($true)),
% 57.64/9.36 inference(equality_resolution,[],[f47961])).
% 57.64/9.36 tff(f47961,plain,(
% 57.64/9.36 ( ! [X1 : $o] : (zero_zero(nat) = iG894(X1) | ($true != X1)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27781])).
% 57.64/9.36 tff(f27781,plain,(
% 57.64/9.36 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG894(X0) | ($true = X0)) & ! [X1 : $o] : (zero_zero(nat) = iG894(X1) | ($true != X1))),
% 57.64/9.36 inference(ennf_transformation,[],[f21814])).
% 57.64/9.36 tff(f21814,plain,(
% 57.64/9.36 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG894(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG894(X1))),
% 57.64/9.36 inference(flattening,[],[f21813])).
% 57.64/9.36 tff(f21813,plain,(
% 57.64/9.36 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG894(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG894(X1))),
% 57.64/9.36 inference(rectify,[],[f15494])).
% 57.64/9.36 tff(f15494,plain,(
% 57.64/9.36 ! [X2 : $o] : (~($true = X2) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG894(X2)) & ! [X2 : $o] : (($true = X2) => zero_zero(nat) = iG894(X2))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG894])])).
% 57.64/9.36 tff(f58870,plain,(
% 57.64/9.36 ( ! [X0 : fun(nat,$o)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),sK4082(X0))) | ~sP2094(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f42188])).
% 57.64/9.36 tff(f42188,plain,(
% 57.64/9.36 ! [X0 : fun(nat,$o)] : ((($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4082(X0)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),sK4082(X0))) & ($true = aa(nat,$o,X0,sK4082(X0)))) | ~sP2094(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4082])],[f42186,f42187])).
% 57.64/9.36 tff(f42187,plain,(
% 57.64/9.36 ! [X0 : fun(nat,$o)] : (? [X1 : nat] : (($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) & ($true = aa(nat,$o,X0,X1))) => (($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4082(X0)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),sK4082(X0))) & ($true = aa(nat,$o,X0,sK4082(X0)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f42186,plain,(
% 57.64/9.36 ! [X0 : fun(nat,$o)] : (? [X1 : nat] : (($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) & ($true = aa(nat,$o,X0,X1))) | ~sP2094(X0))),
% 57.64/9.36 inference(rectify,[],[f42185])).
% 57.64/9.36 tff(f42185,plain,(
% 57.64/9.36 ! [X0 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)) & ($true = aa(nat,$o,X0,X2))) | ~sP2094(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f37351])).
% 57.64/9.36 tff(f37351,plain,(
% 57.64/9.36 ! [X0 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)) & ($true = aa(nat,$o,X0,X2))) | ~sP2094(X0))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2094])])).
% 57.64/9.36 tff(f119051,plain,(
% 57.64/9.36 spl5880_5602),
% 57.64/9.36 inference(avatar_split_clause,[],[f73242,f119049])).
% 57.64/9.36 tff(f119049,plain,(
% 57.64/9.36 spl5880_5602 <=> ! [X0 : nat] : (vEBT_vebt_buildup(X0) = vEBT_vebt_buildup(iG894($true)) | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5602])])).
% 57.64/9.36 tff(f73242,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (vEBT_vebt_buildup(X0) = vEBT_vebt_buildup(iG894($true)) | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f68184,f69846])).
% 57.64/9.36 tff(f69846,plain,(
% 57.64/9.36 vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG894($true))),
% 57.64/9.36 inference(forward_demodulation,[],[f50167,f67338])).
% 57.64/9.36 tff(f50167,plain,(
% 57.64/9.36 vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 57.64/9.36 inference(cnf_transformation,[],[f9828])).
% 57.64/9.36 tff(f9828,plain,(
% 57.64/9.36 vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 57.64/9.36 inference(fool_elimination,[],[f1035])).
% 57.64/9.36 tff(f1035,axiom,(
% 57.64/9.36 vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1034_vebt__buildup_Osimps_I1_J)).
% 57.64/9.36 tff(f68184,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | vEBT_Leaf($false,$false) = vEBT_vebt_buildup(X0) | sP2051(vEBT_vebt_buildup(X0),X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f58178])).
% 57.64/9.36 tff(f58178,plain,(
% 57.64/9.36 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG885(sK3763(X0,X1)) = X1 | vEBT_Leaf($false,$false) = X1 | sP2051(X1,X0) | vEBT_vebt_buildup(X0) != X1) )),
% 57.64/9.36 inference(cnf_transformation,[],[f41662])).
% 57.64/9.36 tff(f41662,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : ((iG885(sK3763(X0,X1)) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,sK3763(X0,X1))) = X0) | (vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | sP2051(X1,X0) | vEBT_vebt_buildup(X0) != X1)),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3763])],[f37284,f41661])).
% 57.64/9.36 tff(f41661,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat] : (iG885(X2) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) => (iG885(sK3763(X0,X1)) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,sK3763(X0,X1))) = X0))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f37284,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat] : (iG885(X2) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | sP2051(X1,X0) | vEBT_vebt_buildup(X0) != X1)),
% 57.64/9.36 inference(definition_folding,[],[f33804,f37283])).
% 57.64/9.36 tff(f37283,plain,(
% 57.64/9.36 ! [X1 : vEBT_VEBT,X0 : nat] : ((vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0) | ~sP2051(X1,X0))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2051])])).
% 57.64/9.36 tff(f33804,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat] : (iG885(X2) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | (vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0) | vEBT_vebt_buildup(X0) != X1)),
% 57.64/9.36 inference(flattening,[],[f33803])).
% 57.64/9.36 tff(f33803,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (((? [X2 : nat] : (iG885(X2) = X1 & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)) | (vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0)) | vEBT_vebt_buildup(X0) != X1)),
% 57.64/9.36 inference(ennf_transformation,[],[f15480])).
% 57.64/9.36 tff(f15480,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(X0) = X1 => ((zero_zero(nat) = X0 => vEBT_Leaf($false,$false) != X1) => ((aa(nat,nat,suc,zero_zero(nat)) = X0 => vEBT_Leaf($false,$false) != X1) => ~! [X2 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0 => iG885(X2) != X1))))),
% 57.64/9.36 inference(fool_elimination,[],[f15476,f15479,f15478,f15477])).
% 57.64/9.36 tff(f15477,plain,(
% 57.64/9.36 ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG883(X2)),
% 57.64/9.36 introduced(fool_let_definition,[new_symbols(definition,[lG883])])).
% 57.64/9.36 tff(f15478,plain,(
% 57.64/9.36 ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG884(X2)),
% 57.64/9.36 introduced(fool_let_definition,[new_symbols(definition,[lG884])])).
% 57.64/9.36 tff(f15479,plain,(
% 57.64/9.36 ! [X2 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG884(X2))),vEBT_vebt_buildup(lG884(X2))),vEBT_vebt_buildup(aa(nat,nat,suc,lG884(X2)))) = iG885(X2)) & ! [X2 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG883(X2)),vEBT_vebt_buildup(lG883(X2))),vEBT_vebt_buildup(lG883(X2))) = iG885(X2))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG885])])).
% 57.64/9.36 tff(f15476,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(X0) = X1 => ((zero_zero(nat) = X0 => X1 != vEBT_Leaf($false,$false)) => ((aa(nat,nat,suc,zero_zero(nat)) = X0 => X1 != vEBT_Leaf($false,$false)) => ~! [X2 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0 => X1 != $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))), $let(half231: nat, half231 := divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),half231),vEBT_vebt_buildup(half231)),vEBT_vebt_buildup(half231))),$let(half232: nat, half232 := divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,half232)),vEBT_vebt_buildup(half232)),vEBT_vebt_buildup(aa(nat,nat,suc,half232)))))))))),
% 57.64/9.36 inference(rectify,[],[f2230])).
% 57.64/9.36 tff(f2230,axiom,(
% 57.64/9.36 ! [X9 : nat,X18 : vEBT_VEBT] : (vEBT_vebt_buildup(X9) = X18 => ((zero_zero(nat) = X9 => X18 != vEBT_Leaf($false,$false)) => ((aa(nat,nat,suc,zero_zero(nat)) = X9 => X18 != vEBT_Leaf($false,$false)) => ~! [X136 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X136)) = X9 => X18 != $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X136))), $let(half231: nat, half231 := divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X136)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X136)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),half231),vEBT_vebt_buildup(half231)),vEBT_vebt_buildup(half231))),$let(half232: nat, half232 := divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X136)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X136)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,half232)),vEBT_vebt_buildup(half232)),vEBT_vebt_buildup(aa(nat,nat,suc,half232)))))))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2229_vebt__buildup_Oelims)).
% 57.64/9.36 tff(f119047,plain,(
% 57.64/9.36 spl5880_5601),
% 57.64/9.36 inference(avatar_split_clause,[],[f72218,f119045])).
% 57.64/9.36 tff(f119045,plain,(
% 57.64/9.36 spl5880_5601 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,pi)),cos(real,X0)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5601])])).
% 57.64/9.36 tff(f72218,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,pi)),cos(real,X0)))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f72217,f69747])).
% 57.64/9.36 tff(f69747,plain,(
% 57.64/9.36 cos(real,pi) = aa(real,real,uminus_uminus(real),im(imaginary_unit))),
% 57.64/9.36 inference(forward_demodulation,[],[f50050,f50004])).
% 57.64/9.36 tff(f50004,plain,(
% 57.64/9.36 one_one(real) = im(imaginary_unit)),
% 57.64/9.36 inference(cnf_transformation,[],[f5241])).
% 57.64/9.36 tff(f5241,axiom,(
% 57.64/9.36 one_one(real) = im(imaginary_unit)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5240_imaginary__unit_Osimps_I2_J)).
% 57.64/9.36 tff(f50050,plain,(
% 57.64/9.36 aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi)),
% 57.64/9.36 inference(cnf_transformation,[],[f3494])).
% 57.64/9.36 tff(f3494,axiom,(
% 57.64/9.36 aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3493_cos__pi)).
% 57.64/9.36 tff(f72217,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),im(imaginary_unit))),cos(real,X0)))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f56661,f50004])).
% 57.64/9.36 tff(f56661,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),cos(real,X0)))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f14507])).
% 57.64/9.36 tff(f14507,plain,(
% 57.64/9.36 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),cos(real,X0)))),
% 57.64/9.36 inference(fool_elimination,[],[f14506])).
% 57.64/9.36 tff(f14506,plain,(
% 57.64/9.36 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),cos(real,X0))),
% 57.64/9.36 inference(rectify,[],[f3570])).
% 57.64/9.36 tff(f3570,axiom,(
% 57.64/9.36 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),cos(real,X9))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3569_cos__ge__minus__one)).
% 57.64/9.36 tff(f119043,plain,(
% 57.64/9.36 spl5880_5600),
% 57.64/9.36 inference(avatar_split_clause,[],[f72216,f119041])).
% 57.64/9.36 tff(f119041,plain,(
% 57.64/9.36 spl5880_5600 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,pi)),sin(real,X0)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5600])])).
% 57.64/9.36 tff(f72216,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,pi)),sin(real,X0)))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f72215,f69747])).
% 57.64/9.36 tff(f72215,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),im(imaginary_unit))),sin(real,X0)))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f56660,f50004])).
% 57.64/9.36 tff(f56660,plain,(
% 57.64/9.36 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),sin(real,X0)))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f14505])).
% 57.64/9.36 tff(f14505,plain,(
% 57.64/9.36 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),sin(real,X0)))),
% 57.64/9.36 inference(fool_elimination,[],[f14504])).
% 57.64/9.36 tff(f14504,plain,(
% 57.64/9.36 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),sin(real,X0))),
% 57.64/9.36 inference(rectify,[],[f3566])).
% 57.64/9.36 tff(f3566,axiom,(
% 57.64/9.36 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),one_one(real))),sin(real,X9))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3565_sin__ge__minus__one)).
% 57.64/9.36 tff(f119039,plain,(
% 57.64/9.36 spl5880_5599),
% 57.64/9.36 inference(avatar_split_clause,[],[f71449,f119037])).
% 57.64/9.36 tff(f119037,plain,(
% 57.64/9.36 spl5880_5599 <=> ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = real_V7770717601297561774m_norm(X0,cos(X0,X1)) | zero_zero(X0) != sin(X0,X1) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5599])])).
% 57.64/9.36 tff(f71449,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = real_V7770717601297561774m_norm(X0,cos(X0,X1)) | zero_zero(X0) != sin(X0,X1) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f55875,f50004])).
% 57.64/9.36 tff(f55875,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (one_one(real) = real_V7770717601297561774m_norm(X0,cos(X0,X1)) | zero_zero(X0) != sin(X0,X1) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f32476])).
% 57.64/9.36 tff(f32476,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : (one_one(real) = real_V7770717601297561774m_norm(X0,cos(X0,X1)) | zero_zero(X0) != sin(X0,X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 57.64/9.36 inference(flattening,[],[f32475])).
% 57.64/9.36 tff(f32475,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : (one_one(real) = real_V7770717601297561774m_norm(X0,cos(X0,X1)) | zero_zero(X0) != sin(X0,X1)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 57.64/9.36 inference(ennf_transformation,[],[f25051])).
% 57.64/9.36 tff(f25051,plain,(
% 57.64/9.36 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : (zero_zero(X0) = sin(X0,X1) => one_one(real) = real_V7770717601297561774m_norm(X0,cos(X0,X1))))),
% 57.64/9.36 inference(rectify,[],[f3536])).
% 57.64/9.36 tff(f3536,axiom,(
% 57.64/9.36 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : (zero_zero(X0) = sin(X0,X9) => one_one(real) = real_V7770717601297561774m_norm(X0,cos(X0,X9))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3535_sin__zero__norm__cos__one)).
% 57.64/9.36 tff(f119035,plain,(
% 57.64/9.36 spl5880_5598),
% 57.64/9.36 inference(avatar_split_clause,[],[f71096,f119033])).
% 57.64/9.36 tff(f119033,plain,(
% 57.64/9.36 spl5880_5598 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG894($true)) | ~power(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5598])])).
% 57.64/9.36 tff(f71096,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG894($true)) | ~power(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f54538,f67338])).
% 57.64/9.36 tff(f54538,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)) | ~power(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f31267])).
% 57.64/9.36 tff(f31267,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)) | ~power(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24602])).
% 57.64/9.36 tff(f24602,plain,(
% 57.64/9.36 ! [X0 : $tType] : (power(X0) => ! [X1 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)))),
% 57.64/9.36 inference(rectify,[],[f1235])).
% 57.64/9.36 tff(f1235,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (power(X0) => ! [X11 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X11),zero_zero(nat)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1234_power__0)).
% 57.64/9.36 tff(f119031,plain,(
% 57.64/9.36 spl5880_5597 | ~spl5880_4047 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f117138,f114695,f101964,f119029])).
% 57.64/9.36 tff(f119029,plain,(
% 57.64/9.36 spl5880_5597 <=> ! [X0 : nat,X1 : vEBT_VEBT] : ~vEBT_invar_vebt(X1,X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5597])])).
% 57.64/9.36 tff(f101964,plain,(
% 57.64/9.36 spl5880_4047 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,iG717($true))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4047])])).
% 57.64/9.36 tff(f117138,plain,(
% 57.64/9.36 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(X1,X0)) ) | (~spl5880_4047 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f101965,f114696])).
% 57.64/9.36 tff(f101965,plain,(
% 57.64/9.36 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG717($true))) ) | ~spl5880_4047),
% 57.64/9.36 inference(avatar_component_clause,[],[f101964])).
% 57.64/9.36 tff(f119027,plain,(
% 57.64/9.36 spl5880_5596),
% 57.64/9.36 inference(avatar_split_clause,[],[f70750,f119025])).
% 57.64/9.36 tff(f119025,plain,(
% 57.64/9.36 spl5880_5596 <=> ! [X0 : $tType,X1 : nat] : (iG577(X0,one_one(X0),X1) = aa(X0,X0,abs_abs(X0),iG577(X0,one_one(X0),X1)) | ~linordered_idom(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5596])])).
% 57.64/9.36 tff(f70750,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : nat] : (iG577(X0,one_one(X0),X1) = aa(X0,X0,abs_abs(X0),iG577(X0,one_one(X0),X1)) | ~linordered_idom(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f53223,f67555])).
% 57.64/9.36 tff(f67555,plain,(
% 57.64/9.36 ( ! [X3 : $tType,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,one_one(X3),X5)) )),
% 57.64/9.36 inference(equality_resolution,[],[f48612])).
% 57.64/9.36 tff(f48612,plain,(
% 57.64/9.36 ( ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,X4,X5) | one_one(X3) != X4) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27929])).
% 57.64/9.36 tff(f27929,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : nat] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG577(X0,X1,X2) | one_one(X0) = X1) & ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,X4,X5) | one_one(X3) != X4)),
% 57.64/9.36 inference(ennf_transformation,[],[f22247])).
% 57.64/9.36 tff(f22247,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG577(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,X4,X5))),
% 57.64/9.36 inference(flattening,[],[f22246])).
% 57.64/9.36 tff(f22246,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG577(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,X4,X5))),
% 57.64/9.36 inference(rectify,[],[f13695])).
% 57.64/9.36 tff(f13695,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG577(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X2) = iG577(X0,X1,X2))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG577])])).
% 57.64/9.36 tff(f53223,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = aa(X0,X0,abs_abs(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~linordered_idom(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f30202])).
% 57.64/9.36 tff(f30202,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = aa(X0,X0,abs_abs(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~linordered_idom(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24135])).
% 57.64/9.36 tff(f24135,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = aa(X0,X0,abs_abs(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 57.64/9.36 inference(rectify,[],[f3089])).
% 57.64/9.36 tff(f3089,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (linordered_idom(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X8) = aa(X0,X0,abs_abs(X0),aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3088_abs__of__nat)).
% 57.64/9.36 tff(f119023,plain,(
% 57.64/9.36 spl5880_5595),
% 57.64/9.36 inference(avatar_split_clause,[],[f70715,f119021])).
% 57.64/9.36 tff(f119021,plain,(
% 57.64/9.36 spl5880_5595 <=> ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,iG894($true))) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5595])])).
% 57.64/9.36 tff(f70715,plain,(
% 57.64/9.36 ( ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,iG894($true))) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f67828,f67338])).
% 57.64/9.36 tff(f67828,plain,(
% 57.64/9.36 ( ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,zero_zero(nat))) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f52745])).
% 57.64/9.36 tff(f52745,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X1)) | zero_zero(nat) != X1 | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39336])).
% 57.64/9.36 tff(f39336,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : nat] : ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X1)) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X1)))) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f29894])).
% 57.64/9.36 tff(f29894,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X1)) <=> zero_zero(nat) = X1) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24024])).
% 57.64/9.36 tff(f24024,plain,(
% 57.64/9.36 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X1)) <=> zero_zero(nat) = X1))),
% 57.64/9.36 inference(rectify,[],[f3050])).
% 57.64/9.36 tff(f3050,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),bit_se2239418461657761734s_mask(X0,X8)) <=> zero_zero(nat) = X8))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3049_semiring__bit__operations__class_Oeven__mask__iff)).
% 57.64/9.36 tff(f119019,plain,(
% 57.64/9.36 spl5880_5594),
% 57.64/9.36 inference(avatar_split_clause,[],[f70557,f119017])).
% 57.64/9.36 tff(f119017,plain,(
% 57.64/9.36 spl5880_5594 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG296(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5594])])).
% 57.64/9.36 tff(f70557,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG296(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f70556,f65842])).
% 57.64/9.36 tff(f65842,plain,(
% 57.64/9.36 ( ! [X0 : code_integer] : (iG296(X0) = lG696(X0)) )),
% 57.64/9.36 inference(definition_unfolding,[],[f50606,f48362])).
% 57.64/9.36 tff(f48362,plain,(
% 57.64/9.36 ( ! [X0 : code_integer] : (code_nat_of_integer(X0) = lG696(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f14752])).
% 57.64/9.36 tff(f14752,plain,(
% 57.64/9.36 ! [X0 : code_integer] : code_nat_of_integer(X0) = lG696(X0)),
% 57.64/9.36 introduced(fool_let_definition,[new_symbols(definition,[lG696])])).
% 57.64/9.36 tff(f50606,plain,(
% 57.64/9.36 ( ! [X0 : code_integer] : (code_nat_of_integer(X0) = iG296(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f9905])).
% 57.64/9.36 tff(f9905,plain,(
% 57.64/9.36 ! [X0 : code_integer] : code_nat_of_integer(X0) = iG296(X0)),
% 57.64/9.36 inference(fool_elimination,[],[f9903,f9904])).
% 57.64/9.36 tff(f9904,plain,(
% 57.64/9.36 ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_ls(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG296(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => zero_zero(nat) = iG296(X0))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG296])])).
% 57.64/9.36 tff(f9903,plain,(
% 57.64/9.36 ! [X0 : code_integer] : code_nat_of_integer(X0) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer)), zero_zero(nat),aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_ls(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))))),
% 57.64/9.36 inference(rectify,[],[f5457])).
% 57.64/9.36 tff(f5457,axiom,(
% 57.64/9.36 ! [X24 : code_integer] : code_nat_of_integer(X24) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X24),zero_zero(code_integer)), zero_zero(nat),aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_ls(code_integer,fun(code_integer,nat))),code_divmod_integer(X24,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5456_nat__of__integer__code)).
% 57.64/9.36 tff(f70556,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,lG696(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f52361,f69903])).
% 57.64/9.36 tff(f69903,plain,(
% 57.64/9.36 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = lG696(aa(num,code_integer,code_positive,X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f65785,f50019])).
% 57.64/9.36 tff(f50019,plain,(
% 57.64/9.36 numeral_numeral(code_integer) = code_positive),
% 57.64/9.36 inference(cnf_transformation,[],[f5440])).
% 57.64/9.36 tff(f5440,axiom,(
% 57.64/9.36 numeral_numeral(code_integer) = code_positive),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5439_Code__Numeral_Opositive__def)).
% 57.64/9.36 tff(f65785,plain,(
% 57.64/9.36 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = lG696(aa(num,code_integer,numeral_numeral(code_integer),X0))) )),
% 57.64/9.36 inference(definition_unfolding,[],[f50293,f48362])).
% 57.64/9.36 tff(f50293,plain,(
% 57.64/9.36 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = code_nat_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22822])).
% 57.64/9.36 tff(f22822,plain,(
% 57.64/9.36 ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = code_nat_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X0))),
% 57.64/9.36 inference(rectify,[],[f5460])).
% 57.64/9.36 tff(f5460,axiom,(
% 57.64/9.36 ! [X24 : num] : aa(num,nat,numeral_numeral(nat),X24) = code_nat_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X24))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5459_nat__of__integer__code__post_I3_J)).
% 57.64/9.36 tff(f52361,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f29549])).
% 57.64/9.36 tff(f29549,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : num] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f23764])).
% 57.64/9.36 tff(f23764,plain,(
% 57.64/9.36 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)))),
% 57.64/9.36 inference(rectify,[],[f2928])).
% 57.64/9.36 tff(f2928,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X14 : num] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X14)),one_one(X0)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2927_take__bit__numeral__1)).
% 57.64/9.36 tff(f119015,plain,(
% 57.64/9.36 spl5880_5593),
% 57.64/9.36 inference(avatar_split_clause,[],[f70516,f119013])).
% 57.64/9.36 tff(f119013,plain,(
% 57.64/9.36 spl5880_5593 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(X0,iG577(X0,one_one(X0),X1),iG577(X0,one_one(X0),X2)) | ~dvd_dvd(nat,X1,X2) | ~euclid5411537665997757685th_nat(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5593])])).
% 57.64/9.36 tff(f70516,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(X0,iG577(X0,one_one(X0),X1),iG577(X0,one_one(X0),X2)) | ~dvd_dvd(nat,X1,X2) | ~euclid5411537665997757685th_nat(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f70515,f67555])).
% 57.64/9.36 tff(f70515,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),iG577(X0,one_one(X0),X2)) | ~dvd_dvd(nat,X1,X2) | ~euclid5411537665997757685th_nat(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f52057,f67555])).
% 57.64/9.36 tff(f52057,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),aa(nat,X0,semiring_1_of_nat(X0),X2)) | ~dvd_dvd(nat,X1,X2) | ~euclid5411537665997757685th_nat(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39189])).
% 57.64/9.36 tff(f39189,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : ((dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),aa(nat,X0,semiring_1_of_nat(X0),X2)) | ~dvd_dvd(nat,X1,X2)) & (dvd_dvd(nat,X1,X2) | ~dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),aa(nat,X0,semiring_1_of_nat(X0),X2)))) | ~euclid5411537665997757685th_nat(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f29313])).
% 57.64/9.36 tff(f29313,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : (dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),aa(nat,X0,semiring_1_of_nat(X0),X2)) <=> dvd_dvd(nat,X1,X2)) | ~euclid5411537665997757685th_nat(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f23612])).
% 57.64/9.36 tff(f23612,plain,(
% 57.64/9.36 ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X1 : nat,X2 : nat] : (dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),aa(nat,X0,semiring_1_of_nat(X0),X2)) <=> dvd_dvd(nat,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f3166])).
% 57.64/9.36 tff(f3166,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X15 : nat,X8 : nat] : (dvd_dvd(X0,aa(nat,X0,semiring_1_of_nat(X0),X15),aa(nat,X0,semiring_1_of_nat(X0),X8)) <=> dvd_dvd(nat,X15,X8)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3165_of__nat__dvd__iff)).
% 57.64/9.36 tff(f119011,plain,(
% 57.64/9.36 spl5880_5592),
% 57.64/9.36 inference(avatar_split_clause,[],[f70364,f119009])).
% 57.64/9.36 tff(f119009,plain,(
% 57.64/9.36 spl5880_5592 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,iG296(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5592])])).
% 57.64/9.36 tff(f70364,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,iG296(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f70363,f65842])).
% 57.64/9.36 tff(f70363,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,lG696(aa(num,code_integer,code_positive,X1))),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f51128,f69903])).
% 57.64/9.36 tff(f51128,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f28494])).
% 57.64/9.36 tff(f28494,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : num] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f23274])).
% 57.64/9.36 tff(f23274,plain,(
% 57.64/9.36 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : num] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1)),one_one(X0)))),
% 57.64/9.36 inference(rectify,[],[f2255])).
% 57.64/9.36 tff(f2255,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X24 : num] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X24)),one_one(X0)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2254_signed__take__bit__numeral__of__1)).
% 57.64/9.36 tff(f119007,plain,(
% 57.64/9.36 spl5880_5591),
% 57.64/9.36 inference(avatar_split_clause,[],[f70345,f119005])).
% 57.64/9.36 tff(f119005,plain,(
% 57.64/9.36 spl5880_5591 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,iG894($true))) | ~real_V8999393235501362500lgebra(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5591])])).
% 57.64/9.36 tff(f70345,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,iG894($true))) | ~real_V8999393235501362500lgebra(X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f51063,f67338])).
% 57.64/9.36 tff(f51063,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))) | ~real_V8999393235501362500lgebra(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f28426])).
% 57.64/9.36 tff(f28426,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))) | ~real_V8999393235501362500lgebra(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f23231])).
% 57.64/9.36 tff(f23231,plain,(
% 57.64/9.36 ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X1 : fun(nat,X0)] : sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))))),
% 57.64/9.36 inference(rectify,[],[f3818])).
% 57.64/9.36 tff(f3818,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X11 : fun(nat,X0)] : sums(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X11),aa(nat,X0,X11,zero_zero(nat))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3817_powser__sums__zero)).
% 57.64/9.36 tff(f119003,plain,(
% 57.64/9.36 spl5880_5590),
% 57.64/9.36 inference(avatar_split_clause,[],[f70176,f119001])).
% 57.64/9.36 tff(f119001,plain,(
% 57.64/9.36 spl5880_5590 <=> ! [X0 : real] : aa(real,real,cot(real),X0) = aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5590])])).
% 57.64/9.36 tff(f70176,plain,(
% 57.64/9.36 ( ! [X0 : real] : (aa(real,real,cot(real),X0) = aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f70175,f70111])).
% 57.64/9.36 tff(f70111,plain,(
% 57.64/9.36 ( ! [X0 : real] : (aa(real,real,cot(real),X0) = aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),iG303(imaginary_unit)),X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f50520,f65754])).
% 57.64/9.36 tff(f65754,plain,(
% 57.64/9.36 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = iG303(imaginary_unit)),
% 57.64/9.36 inference(definition_unfolding,[],[f50073,f50610])).
% 57.64/9.36 tff(f50610,plain,(
% 57.64/9.36 ( ! [X0 : complex] : (arg(X0) = iG303(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f9920])).
% 57.64/9.36 tff(f9920,plain,(
% 57.64/9.36 ! [X0 : complex] : arg(X0) = iG303(X0)),
% 57.64/9.36 inference(fool_elimination,[],[f9918,f9919])).
% 57.64/9.36 tff(f9919,plain,(
% 57.64/9.36 ! [X0 : complex] : (~zero_zero(complex) = X0 => fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0)) & ! [X0 : complex] : (zero_zero(complex) = X0 => zero_zero(real) = iG303(X0))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG303])])).
% 57.64/9.36 tff(f9918,plain,(
% 57.64/9.36 ! [X0 : complex] : arg(X0) = $ite(zero_zero(complex) = X0, zero_zero(real),fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)))),
% 57.64/9.36 inference(rectify,[],[f4803])).
% 57.64/9.36 tff(f4803,axiom,(
% 57.64/9.36 ! [X21 : complex] : arg(X21) = $ite(zero_zero(complex) = X21, zero_zero(real),fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X21)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4802_Arg__def)).
% 57.64/9.36 tff(f50073,plain,(
% 57.64/9.36 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 57.64/9.36 inference(cnf_transformation,[],[f4232])).
% 57.64/9.36 tff(f4232,axiom,(
% 57.64/9.36 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4231_Arg__ii)).
% 57.64/9.36 tff(f50520,plain,(
% 57.64/9.36 ( ! [X0 : real] : (aa(real,real,cot(real),X0) = aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f23043])).
% 57.64/9.36 tff(f23043,plain,(
% 57.64/9.36 ! [X0 : real] : aa(real,real,cot(real),X0) = aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0))),
% 57.64/9.36 inference(rectify,[],[f4499])).
% 57.64/9.36 tff(f4499,axiom,(
% 57.64/9.36 ! [X9 : real] : aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X9)) = aa(real,real,cot(real),X9)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4498_tan__cot_H)).
% 57.64/9.36 tff(f70175,plain,(
% 57.64/9.36 ( ! [X0 : real] : (aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X0)) = aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),iG303(imaginary_unit)),X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f50551,f65754])).
% 57.64/9.36 tff(f50551,plain,(
% 57.64/9.36 ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0)) = aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f23074])).
% 57.64/9.36 tff(f23074,plain,(
% 57.64/9.36 ! [X0 : real] : aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0)) = aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X0))),
% 57.64/9.36 inference(rectify,[],[f4440])).
% 57.64/9.36 tff(f4440,axiom,(
% 57.64/9.36 ! [X9 : real] : aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X9)) = aa(real,real,inverse_inverse(real),aa(real,real,tan(real),X9))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4439_tan__cot)).
% 57.64/9.36 tff(f118999,plain,(
% 57.64/9.36 spl5880_5589),
% 57.64/9.36 inference(avatar_split_clause,[],[f69967,f118997])).
% 57.64/9.36 tff(f118997,plain,(
% 57.64/9.36 spl5880_5589 <=> ! [X0 : num] : bit_and_not_num(aa(num,num,bit0,X0),one2) = aa(num,option(num),aTP_Lamp_abu(num,option(num)),X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5589])])).
% 57.64/9.36 tff(f69967,plain,(
% 57.64/9.36 ( ! [X0 : num] : (bit_and_not_num(aa(num,num,bit0,X0),one2) = aa(num,option(num),aTP_Lamp_abu(num,option(num)),X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f50398,f50374])).
% 57.64/9.36 tff(f50374,plain,(
% 57.64/9.36 ( ! [X0 : num] : (bit_and_not_num(aa(num,num,bit0,X0),one2) = aa(num,option(num),some(num),aa(num,num,bit0,X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22901])).
% 57.64/9.36 tff(f22901,plain,(
% 57.64/9.36 ! [X0 : num] : bit_and_not_num(aa(num,num,bit0,X0),one2) = aa(num,option(num),some(num),aa(num,num,bit0,X0))),
% 57.64/9.36 inference(rectify,[],[f7384])).
% 57.64/9.36 tff(f7384,axiom,(
% 57.64/9.36 ! [X15 : num] : bit_and_not_num(aa(num,num,bit0,X15),one2) = aa(num,option(num),some(num),aa(num,num,bit0,X15))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7383_and__not__num_Osimps_I4_J)).
% 57.64/9.36 tff(f50398,plain,(
% 57.64/9.36 ( ! [X0 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X0)) = aa(num,option(num),aTP_Lamp_abu(num,option(num)),X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22924])).
% 57.64/9.36 tff(f22924,plain,(
% 57.64/9.36 ! [X0 : num] : aa(num,option(num),some(num),aa(num,num,bit0,X0)) = aa(num,option(num),aTP_Lamp_abu(num,option(num)),X0)),
% 57.64/9.36 inference(rectify,[],[f8217])).
% 57.64/9.36 tff(f8217,axiom,(
% 57.64/9.36 ! [X105 : num] : aa(num,option(num),aTP_Lamp_abu(num,option(num)),X105) = aa(num,option(num),some(num),aa(num,num,bit0,X105))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8216_ATP_Olambda__36)).
% 57.64/9.36 tff(f118995,plain,(
% 57.64/9.36 spl5880_5588),
% 57.64/9.36 inference(avatar_split_clause,[],[f69956,f118993])).
% 57.64/9.36 tff(f118993,plain,(
% 57.64/9.36 spl5880_5588 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),zero_zero(int)),X0) = iG1564(zero_zero(int),X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5588])])).
% 57.64/9.36 tff(f69956,plain,(
% 57.64/9.36 ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),zero_zero(int)),X0) = iG1564(zero_zero(int),X0)) )),
% 57.64/9.36 inference(forward_demodulation,[],[f50378,f66895])).
% 57.64/9.36 tff(f66895,plain,(
% 57.64/9.36 ( ! [X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG1564(zero_zero(int),X3)) )),
% 57.64/9.36 inference(equality_resolution,[],[f46619])).
% 57.64/9.36 tff(f46619,plain,(
% 57.64/9.36 ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG1564(X2,X3) | zero_zero(int) != X2) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27477])).
% 57.64/9.36 tff(f27477,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG1564(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG1564(X2,X3) | zero_zero(int) != X2)),
% 57.64/9.36 inference(ennf_transformation,[],[f20894])).
% 57.64/9.36 tff(f20894,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG1564(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,int,uminus_uminus(int),X3) = iG1564(X2,X3))),
% 57.64/9.36 inference(flattening,[],[f20893])).
% 57.64/9.36 tff(f20893,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG1564(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,int,uminus_uminus(int),X3) = iG1564(X2,X3))),
% 57.64/9.36 inference(rectify,[],[f19112])).
% 57.64/9.36 tff(f19112,plain,(
% 57.64/9.36 ! [X3 : int,X2 : int] : (~zero_zero(int) = X3 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X2)),one_one(int)) = iG1564(X3,X2)) & ! [X3 : int,X2 : int] : (zero_zero(int) = X3 => aa(int,int,uminus_uminus(int),X2) = iG1564(X3,X2))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1564])])).
% 57.64/9.36 tff(f50378,plain,(
% 57.64/9.36 ( ! [X0 : int] : (aa(int,int,uminus_uminus(int),X0) = aa(int,int,aa(int,fun(int,int),minus_minus(int),zero_zero(int)),X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22905])).
% 57.64/9.36 tff(f22905,plain,(
% 57.64/9.36 ! [X0 : int] : aa(int,int,uminus_uminus(int),X0) = aa(int,int,aa(int,fun(int,int),minus_minus(int),zero_zero(int)),X0)),
% 57.64/9.36 inference(rectify,[],[f2484])).
% 57.64/9.36 tff(f2484,axiom,(
% 57.64/9.36 ! [X14 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),zero_zero(int)),X14) = aa(int,int,uminus_uminus(int),X14)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2483_minus__int__code_I2_J)).
% 57.64/9.36 tff(f118987,plain,(
% 57.64/9.36 spl5880_5587 | spl5880_4980 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f116943,f114695,f110997,f118985])).
% 57.64/9.36 tff(f118985,plain,(
% 57.64/9.36 spl5880_5587 <=> ! [X0 : nat] : ~ring_1_iszero(nat,X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5587])])).
% 57.64/9.36 tff(f110997,plain,(
% 57.64/9.36 spl5880_4980 <=> ring_1_iszero(nat,iG271)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4980])])).
% 57.64/9.36 tff(f116943,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (~ring_1_iszero(nat,X0)) ) | (spl5880_4980 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f110999,f114696])).
% 57.64/9.36 tff(f110999,plain,(
% 57.64/9.36 ~ring_1_iszero(nat,iG271) | spl5880_4980),
% 57.64/9.36 inference(avatar_component_clause,[],[f110997])).
% 57.64/9.36 tff(f118983,plain,(
% 57.64/9.36 spl5880_5586 | ~spl5880_638 | ~spl5880_1408 | ~spl5880_2533 | ~spl5880_3159 | ~spl5880_3482 | ~spl5880_5330 | ~spl5880_5585),
% 57.64/9.36 inference(avatar_split_clause,[],[f118979,f118974,f114695,f98199,f96541,f92861,f85606,f81633,f118981])).
% 57.64/9.36 tff(f118981,plain,(
% 57.64/9.36 spl5880_5586 <=> ! [X0 : nat] : zero_zero(real) = aa(nat,real,aTP_Lamp_tu(nat,real),X0)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5586])])).
% 57.64/9.36 tff(f81633,plain,(
% 57.64/9.36 spl5880_638 <=> semiring_1(real)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_638])])).
% 57.64/9.36 tff(f85606,plain,(
% 57.64/9.36 spl5880_1408 <=> one_one(real) = im(imaginary_unit)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_1408])])).
% 57.64/9.36 tff(f92861,plain,(
% 57.64/9.36 spl5880_2533 <=> ! [X2 : $tType] : zero_zero(X2) = iG546(X2,iG717($true))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_2533])])).
% 57.64/9.36 tff(f96541,plain,(
% 57.64/9.36 spl5880_3159 <=> ! [X0 : nat] : zero_zero(real) = aa(real,real,root(X0),zero_zero(real))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_3159])])).
% 57.64/9.36 tff(f98199,plain,(
% 57.64/9.36 spl5880_3482 <=> ! [X0 : $tType,X1 : nat] : (iG546(X0,X1) = iG577(X0,one_one(X0),X1) | ~semiring_1(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_3482])])).
% 57.64/9.36 tff(f118974,plain,(
% 57.64/9.36 spl5880_5585 <=> ! [X0 : nat] : aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),iG577(real,im(imaginary_unit),X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5585])])).
% 57.64/9.36 tff(f118979,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (zero_zero(real) = aa(nat,real,aTP_Lamp_tu(nat,real),X0)) ) | (~spl5880_638 | ~spl5880_1408 | ~spl5880_2533 | ~spl5880_3159 | ~spl5880_3482 | ~spl5880_5330 | ~spl5880_5585)),
% 57.64/9.36 inference(forward_demodulation,[],[f118978,f96542])).
% 57.64/9.36 tff(f96542,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (zero_zero(real) = aa(real,real,root(X0),zero_zero(real))) ) | ~spl5880_3159),
% 57.64/9.36 inference(avatar_component_clause,[],[f96541])).
% 57.64/9.36 tff(f118978,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(real,real,root(X0),zero_zero(real)) = aa(nat,real,aTP_Lamp_tu(nat,real),X0)) ) | (~spl5880_638 | ~spl5880_1408 | ~spl5880_2533 | ~spl5880_3482 | ~spl5880_5330 | ~spl5880_5585)),
% 57.64/9.36 inference(forward_demodulation,[],[f118977,f117096])).
% 57.64/9.36 tff(f117096,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : nat] : (zero_zero(X1) = iG546(X1,X0)) ) | (~spl5880_2533 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f92862,f114696])).
% 57.64/9.36 tff(f92862,plain,(
% 57.64/9.36 ( ! [X2 : $tType] : (zero_zero(X2) = iG546(X2,iG717($true))) ) | ~spl5880_2533),
% 57.64/9.36 inference(avatar_component_clause,[],[f92861])).
% 57.64/9.36 tff(f118977,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),iG546(real,X0))) ) | (~spl5880_638 | ~spl5880_1408 | ~spl5880_3482 | ~spl5880_5585)),
% 57.64/9.36 inference(forward_demodulation,[],[f118975,f98890])).
% 57.64/9.36 tff(f98890,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG577(real,im(imaginary_unit),X0) = iG546(real,X0)) ) | (~spl5880_638 | ~spl5880_1408 | ~spl5880_3482)),
% 57.64/9.36 inference(forward_demodulation,[],[f98885,f85608])).
% 57.64/9.36 tff(f85608,plain,(
% 57.64/9.36 one_one(real) = im(imaginary_unit) | ~spl5880_1408),
% 57.64/9.36 inference(avatar_component_clause,[],[f85606])).
% 57.64/9.36 tff(f98885,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG577(real,one_one(real),X0) = iG546(real,X0)) ) | (~spl5880_638 | ~spl5880_3482)),
% 57.64/9.36 inference(resolution,[],[f98200,f81635])).
% 57.64/9.36 tff(f81635,plain,(
% 57.64/9.36 semiring_1(real) | ~spl5880_638),
% 57.64/9.36 inference(avatar_component_clause,[],[f81633])).
% 57.64/9.36 tff(f98200,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : nat] : (~semiring_1(X0) | iG546(X0,X1) = iG577(X0,one_one(X0),X1)) ) | ~spl5880_3482),
% 57.64/9.36 inference(avatar_component_clause,[],[f98199])).
% 57.64/9.36 tff(f118975,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),iG577(real,im(imaginary_unit),X0))) ) | ~spl5880_5585),
% 57.64/9.36 inference(avatar_component_clause,[],[f118974])).
% 57.64/9.36 tff(f118976,plain,(
% 57.64/9.36 spl5880_5585),
% 57.64/9.36 inference(avatar_split_clause,[],[f69948,f118974])).
% 57.64/9.36 tff(f69948,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),iG577(real,im(imaginary_unit),X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f69947,f50004])).
% 57.64/9.36 tff(f69947,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),iG577(real,one_one(real),X0))) )),
% 57.64/9.36 inference(forward_demodulation,[],[f50368,f67555])).
% 57.64/9.36 tff(f50368,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),aa(nat,real,semiring_1_of_nat(real),X0))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22895])).
% 57.64/9.36 tff(f22895,plain,(
% 57.64/9.36 ! [X0 : nat] : aa(nat,real,aTP_Lamp_tu(nat,real),X0) = aa(real,real,root(X0),aa(nat,real,semiring_1_of_nat(real),X0))),
% 57.64/9.36 inference(rectify,[],[f8195])).
% 57.64/9.36 tff(f8195,axiom,(
% 57.64/9.36 ! [X105 : nat] : aa(nat,real,aTP_Lamp_tu(nat,real),X105) = aa(real,real,root(X105),aa(nat,real,semiring_1_of_nat(real),X105))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8194_ATP_Olambda__14)).
% 57.64/9.36 tff(f118972,plain,(
% 57.64/9.36 spl5880_5584),
% 57.64/9.36 inference(avatar_split_clause,[],[f69800,f118969])).
% 57.64/9.36 tff(f118969,plain,(
% 57.64/9.36 spl5880_5584 <=> top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,iG894($true)),set_ord_greaterThan(nat,iG894($true)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5584])])).
% 57.64/9.36 tff(f69800,plain,(
% 57.64/9.36 top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,iG894($true)),set_ord_greaterThan(nat,iG894($true)))),
% 57.64/9.36 inference(forward_demodulation,[],[f69799,f67338])).
% 57.64/9.36 tff(f69799,plain,(
% 57.64/9.36 top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),set_ord_greaterThan(nat,iG894($true)))),
% 57.64/9.36 inference(forward_demodulation,[],[f50113,f69771])).
% 57.64/9.36 tff(f69771,plain,(
% 57.64/9.36 aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,iG894($true))),
% 57.64/9.36 inference(forward_demodulation,[],[f50082,f67338])).
% 57.64/9.36 tff(f50082,plain,(
% 57.64/9.36 aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat))),
% 57.64/9.36 inference(cnf_transformation,[],[f6417])).
% 57.64/9.36 tff(f6417,axiom,(
% 57.64/9.36 aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6416_greaterThan__0)).
% 57.64/9.36 tff(f50113,plain,(
% 57.64/9.36 top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))))),
% 57.64/9.36 inference(cnf_transformation,[],[f5989])).
% 57.64/9.36 tff(f5989,axiom,(
% 57.64/9.36 top_top(set(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5988_UNIV__nat__eq)).
% 57.64/9.36 tff(f118967,plain,(
% 57.64/9.36 spl5880_5583),
% 57.64/9.36 inference(avatar_split_clause,[],[f69773,f118964])).
% 57.64/9.36 tff(f118964,plain,(
% 57.64/9.36 spl5880_5583 <=> code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),code_Target_positive)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5583])])).
% 57.64/9.36 tff(f69773,plain,(
% 57.64/9.36 code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),code_Target_positive)),
% 57.64/9.36 inference(forward_demodulation,[],[f50084,f50021])).
% 57.64/9.36 tff(f50021,plain,(
% 57.64/9.36 numeral_numeral(int) = code_Target_positive),
% 57.64/9.36 inference(cnf_transformation,[],[f5215])).
% 57.64/9.36 tff(f5215,axiom,(
% 57.64/9.36 numeral_numeral(int) = code_Target_positive),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5214_Code__Target__Int_Opositive__def)).
% 57.64/9.36 tff(f50084,plain,(
% 57.64/9.36 code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 57.64/9.36 inference(cnf_transformation,[],[f5713])).
% 57.64/9.36 tff(f5713,axiom,(
% 57.64/9.36 code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5712_Code__Target__Int_Onegative__def)).
% 57.64/9.36 tff(f118962,plain,(
% 57.64/9.36 spl5880_5582),
% 57.64/9.36 inference(avatar_split_clause,[],[f69772,f118959])).
% 57.64/9.36 tff(f118959,plain,(
% 57.64/9.36 spl5880_5582 <=> code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),code_positive)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5582])])).
% 57.64/9.36 tff(f69772,plain,(
% 57.64/9.36 code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),code_positive)),
% 57.64/9.36 inference(forward_demodulation,[],[f50083,f50019])).
% 57.64/9.36 tff(f50083,plain,(
% 57.64/9.36 code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),numeral_numeral(code_integer))),
% 57.64/9.36 inference(cnf_transformation,[],[f5706])).
% 57.64/9.36 tff(f5706,axiom,(
% 57.64/9.36 code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),numeral_numeral(code_integer))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5705_Code__Numeral_Onegative__def)).
% 57.64/9.36 tff(f118957,plain,(
% 57.64/9.36 spl5880_5581),
% 57.64/9.36 inference(avatar_split_clause,[],[f69771,f118954])).
% 57.64/9.36 tff(f118954,plain,(
% 57.64/9.36 spl5880_5581 <=> aa(set(nat),set(nat),image(nat,nat,suc),top_top(set(nat))) = set_ord_greaterThan(nat,iG894($true))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5581])])).
% 57.64/9.36 tff(f118952,plain,(
% 57.64/9.36 spl5880_5580),
% 57.64/9.36 inference(avatar_split_clause,[],[f68765,f118950])).
% 57.64/9.36 tff(f118950,plain,(
% 57.64/9.36 spl5880_5580 <=> ! [X0 : $tType,X2 : set(X0)] : ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X2),X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5580])])).
% 57.64/9.36 tff(f68765,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X2),X2))) )),
% 57.64/9.36 inference(equality_resolution,[],[f62437])).
% 57.64/9.36 tff(f62437,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : set(X0),X1 : set(X0)] : (X1 != X2 | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44686])).
% 57.64/9.36 tff(f44686,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2)) | X1 = X2 | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2))) & ((X1 != X2 & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2))) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2))))),
% 57.64/9.36 inference(flattening,[],[f44685])).
% 57.64/9.36 tff(f44685,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2)) | (X1 = X2 | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2)))) & ((X1 != X2 & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2))) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2))))),
% 57.64/9.36 inference(nnf_transformation,[],[f18767])).
% 57.64/9.36 tff(f18767,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2)) <=> (X1 != X2 & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2))))),
% 57.64/9.36 inference(fool_elimination,[],[f18766])).
% 57.64/9.36 tff(f18766,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X2) <=> (X1 != X2 & aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X2)))),
% 57.64/9.36 inference(rectify,[],[f1360])).
% 57.64/9.36 tff(f1360,axiom,(
% 57.64/9.36 ! [X0 : $tType,X27 : set(X0),X75 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X27),X75) <=> (X27 != X75 & aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X27),X75)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1359_psubset__eq)).
% 57.64/9.36 tff(f118948,plain,(
% 57.64/9.36 spl5880_5579),
% 57.64/9.36 inference(avatar_split_clause,[],[f68334,f118946])).
% 57.64/9.36 tff(f118946,plain,(
% 57.64/9.36 spl5880_5579 <=> ! [X2 : int,X1 : int] : zero_zero(int) = modulo_modulo(int,aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2),X1)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5579])])).
% 57.64/9.36 tff(f68334,plain,(
% 57.64/9.36 ( ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2),X1)) )),
% 57.64/9.36 inference(equality_resolution,[],[f59436])).
% 57.64/9.36 tff(f59436,plain,(
% 57.64/9.36 ( ! [X2 : int,X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) | aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) )),
% 57.64/9.36 inference(cnf_transformation,[],[f42418])).
% 57.64/9.36 tff(f42418,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (aa(int,int,aa(int,fun(int,int),times_times(int),X1),sK4185(X0,X1)) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4185])],[f42416,f42417])).
% 57.64/9.36 tff(f42417,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : (? [X3 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X3) = X0 => aa(int,int,aa(int,fun(int,int),times_times(int),X1),sK4185(X0,X1)) = X0)),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f42416,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (? [X3 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X3) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 57.64/9.36 inference(rectify,[],[f42415])).
% 57.64/9.36 tff(f42415,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (? [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 57.64/9.36 inference(nnf_transformation,[],[f26209])).
% 57.64/9.36 tff(f26209,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) <=> ? [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) = X0)),
% 57.64/9.36 inference(rectify,[],[f1599])).
% 57.64/9.36 tff(f1599,axiom,(
% 57.64/9.36 ! [X15 : int,X10 : int] : (zero_zero(int) = modulo_modulo(int,X15,X10) <=> ? [X187 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X10),X187) = X15)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1598_zmod__eq__0__iff)).
% 57.64/9.36 tff(f118944,plain,(
% 57.64/9.36 spl5880_5578),
% 57.64/9.36 inference(avatar_split_clause,[],[f68043,f118942])).
% 57.64/9.36 tff(f118942,plain,(
% 57.64/9.36 spl5880_5578 <=> ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2870(X0,X3))) | ~linorder(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5578])])).
% 57.64/9.36 tff(f68043,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2870(X0,X3))) | ~linorder(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54935])).
% 57.64/9.36 tff(f54935,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2870(X0,X1))) | ~linorder(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f40021])).
% 57.64/9.36 tff(f40021,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2870(X0,X1)))) | ~linorder(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2870])],[f31638,f40020])).
% 57.64/9.36 tff(f40020,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))) => ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2870(X0,X1)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f31638,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))) | ~linorder(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f12818])).
% 57.64/9.36 tff(f12818,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) => X1 != X3))),
% 57.64/9.36 inference(fool_elimination,[],[f12817])).
% 57.64/9.36 tff(f12817,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2) => X1 != X3))),
% 57.64/9.36 inference(rectify,[],[f1734])).
% 57.64/9.36 tff(f1734,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : ? [X74 : X0] : ! [X50 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X50),X74) => X7 != X50))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1733_minf_I3_J)).
% 57.64/9.36 tff(f118940,plain,(
% 57.64/9.36 spl5880_5577),
% 57.64/9.36 inference(avatar_split_clause,[],[f68042,f118938])).
% 57.64/9.36 tff(f118938,plain,(
% 57.64/9.36 spl5880_5577 <=> ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2869(X0,X3)),X3)) | ~linorder(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5577])])).
% 57.64/9.36 tff(f68042,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2869(X0,X3)),X3)) | ~linorder(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54934])).
% 57.64/9.36 tff(f54934,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2869(X0,X1)),X3)) | ~linorder(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f40019])).
% 57.64/9.36 tff(f40019,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2869(X0,X1)),X3))) | ~linorder(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2869])],[f31637,f40018])).
% 57.64/9.36 tff(f40018,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))) => ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2869(X0,X1)),X3))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f31637,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))) | ~linorder(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f12816])).
% 57.64/9.36 tff(f12816,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) => X1 != X3))),
% 57.64/9.36 inference(fool_elimination,[],[f12815])).
% 57.64/9.36 tff(f12815,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3) => X1 != X3))),
% 57.64/9.36 inference(rectify,[],[f1728])).
% 57.64/9.36 tff(f1728,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : ? [X74 : X0] : ! [X50 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X74),X50) => X7 != X50))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1727_pinf_I4_J)).
% 57.64/9.36 tff(f118936,plain,(
% 57.64/9.36 spl5880_5576 | ~spl5880_4564 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f116929,f114695,f106023,f118934])).
% 57.64/9.36 tff(f118934,plain,(
% 57.64/9.36 spl5880_5576 <=> ! [X0 : nat] : iG1477(X0,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5576])])).
% 57.64/9.36 tff(f106023,plain,(
% 57.64/9.36 spl5880_4564 <=> iG1477(iG271,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4564])])).
% 57.64/9.36 tff(f116929,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG1477(X0,$true)) ) | (~spl5880_4564 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f106025,f114696])).
% 57.64/9.36 tff(f106025,plain,(
% 57.64/9.36 iG1477(iG271,$true) | ~spl5880_4564),
% 57.64/9.36 inference(avatar_component_clause,[],[f106023])).
% 57.64/9.36 tff(f118932,plain,(
% 57.64/9.36 spl5880_5575),
% 57.64/9.36 inference(avatar_split_clause,[],[f68041,f118930])).
% 57.64/9.36 tff(f118930,plain,(
% 57.64/9.36 spl5880_5575 <=> ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2868(X0,X3)),X3)) | ~linorder(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5575])])).
% 57.64/9.36 tff(f68041,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2868(X0,X3)),X3)) | ~linorder(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54933])).
% 57.64/9.36 tff(f54933,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2868(X0,X1)),X3)) | ~linorder(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f40017])).
% 57.64/9.36 tff(f40017,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2868(X0,X1)),X3))) | ~linorder(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2868])],[f31636,f40016])).
% 57.64/9.36 tff(f40016,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))) => ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2868(X0,X1)),X3))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f31636,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))) | ~linorder(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f12814])).
% 57.64/9.36 tff(f12814,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) => X1 != X3))),
% 57.64/9.36 inference(fool_elimination,[],[f12813])).
% 57.64/9.36 tff(f12813,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3) => X1 != X3))),
% 57.64/9.36 inference(rectify,[],[f1727])).
% 57.64/9.36 tff(f1727,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : ? [X74 : X0] : ! [X50 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X74),X50) => X7 != X50))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1726_pinf_I3_J)).
% 57.64/9.36 tff(f118928,plain,(
% 57.64/9.36 spl5880_5574),
% 57.64/9.36 inference(avatar_split_clause,[],[f68040,f118926])).
% 57.64/9.36 tff(f118926,plain,(
% 57.64/9.36 spl5880_5574 <=> ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2867(X0,X3))) | ~linorder(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5574])])).
% 57.64/9.36 tff(f68040,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2867(X0,X3))) | ~linorder(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54932])).
% 57.64/9.36 tff(f54932,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2867(X0,X1))) | ~linorder(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f40015])).
% 57.64/9.36 tff(f40015,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2867(X0,X1)))) | ~linorder(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2867])],[f31635,f40014])).
% 57.64/9.36 tff(f40014,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))) => ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2867(X0,X1)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f31635,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))) | ~linorder(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f12812])).
% 57.64/9.36 tff(f12812,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) => X1 != X3))),
% 57.64/9.36 inference(fool_elimination,[],[f12811])).
% 57.64/9.36 tff(f12811,plain,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2) => X1 != X3))),
% 57.64/9.36 inference(rectify,[],[f1735])).
% 57.64/9.36 tff(f1735,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : ? [X74 : X0] : ! [X50 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X50),X74) => X7 != X50))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1734_minf_I4_J)).
% 57.64/9.36 tff(f118924,plain,(
% 57.64/9.36 spl5880_5573),
% 57.64/9.36 inference(avatar_split_clause,[],[f68003,f118922])).
% 57.64/9.36 tff(f118922,plain,(
% 57.64/9.36 spl5880_5573 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~semiri3467727345109120633visors(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5573])])).
% 57.64/9.36 tff(f68003,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~semiri3467727345109120633visors(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54457])).
% 57.64/9.36 tff(f54457,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) != X1 | ~semiri3467727345109120633visors(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39914])).
% 57.64/9.36 tff(f39914,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) | ~semiri3467727345109120633visors(X0))),
% 57.64/9.36 inference(flattening,[],[f39913])).
% 57.64/9.36 tff(f39913,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) = X1) | zero_zero(X0) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) | ~semiri3467727345109120633visors(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f31210])).
% 57.64/9.36 tff(f31210,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)) | ~semiri3467727345109120633visors(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24562])).
% 57.64/9.36 tff(f24562,plain,(
% 57.64/9.36 ! [X0 : $tType] : (semiri3467727345109120633visors(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)))),
% 57.64/9.36 inference(rectify,[],[f853])).
% 57.64/9.36 tff(f853,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (semiri3467727345109120633visors(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12) = zero_zero(X0) <=> (zero_zero(X0) = X12 | zero_zero(X0) = X11)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_852_mult__eq__0__iff)).
% 57.64/9.36 tff(f118920,plain,(
% 57.64/9.36 spl5880_5572),
% 57.64/9.36 inference(avatar_split_clause,[],[f68002,f118918])).
% 57.64/9.36 tff(f118918,plain,(
% 57.64/9.36 spl5880_5572 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~semiri3467727345109120633visors(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5572])])).
% 57.64/9.36 tff(f68002,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~semiri3467727345109120633visors(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f54458])).
% 57.64/9.36 tff(f54458,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) != X2 | ~semiri3467727345109120633visors(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39914])).
% 57.64/9.36 tff(f118916,plain,(
% 57.64/9.36 spl5880_5571),
% 57.64/9.36 inference(avatar_split_clause,[],[f67898,f118914])).
% 57.64/9.36 tff(f118914,plain,(
% 57.64/9.36 spl5880_5571 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5571])])).
% 57.64/9.36 tff(f67898,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~ring_15535105094025558882visors(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f53556])).
% 57.64/9.36 tff(f53556,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | zero_zero(X0) != X1 | ~ring_15535105094025558882visors(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39629])).
% 57.64/9.36 tff(f39629,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | (one_one(X0) != X2 & zero_zero(X0) != X1)) & (one_one(X0) = X2 | zero_zero(X0) = X1 | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X1)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(flattening,[],[f39628])).
% 57.64/9.36 tff(f39628,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | (one_one(X0) != X2 & zero_zero(X0) != X1)) & ((one_one(X0) = X2 | zero_zero(X0) = X1) | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X1)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f30404])).
% 57.64/9.36 tff(f30404,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 <=> (one_one(X0) = X2 | zero_zero(X0) = X1)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24186])).
% 57.64/9.36 tff(f24186,plain,(
% 57.64/9.36 ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 <=> (one_one(X0) = X2 | zero_zero(X0) = X1)))),
% 57.64/9.36 inference(rectify,[],[f923])).
% 57.64/9.36 tff(f923,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X17 : X0,X11 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11) = X17 <=> (one_one(X0) = X11 | zero_zero(X0) = X17)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_922_mult__cancel__left2)).
% 57.64/9.36 tff(f118912,plain,(
% 57.64/9.36 spl5880_5570),
% 57.64/9.36 inference(avatar_split_clause,[],[f67894,f118910])).
% 57.64/9.36 tff(f118910,plain,(
% 57.64/9.36 spl5880_5570 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5570])])).
% 57.64/9.36 tff(f67894,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~ring_15535105094025558882visors(X0)) )),
% 57.64/9.36 inference(equality_resolution,[],[f53550])).
% 57.64/9.36 tff(f53550,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | zero_zero(X0) != X2 | ~ring_15535105094025558882visors(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f39625])).
% 57.64/9.36 tff(f39625,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | (one_one(X0) != X1 & zero_zero(X0) != X2)) & (one_one(X0) = X1 | zero_zero(X0) = X2 | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X2)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(flattening,[],[f39624])).
% 57.64/9.36 tff(f39624,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | (one_one(X0) != X1 & zero_zero(X0) != X2)) & ((one_one(X0) = X1 | zero_zero(X0) = X2) | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X2)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(nnf_transformation,[],[f30402])).
% 57.64/9.36 tff(f30402,plain,(
% 57.64/9.36 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 <=> (one_one(X0) = X1 | zero_zero(X0) = X2)) | ~ring_15535105094025558882visors(X0))),
% 57.64/9.36 inference(ennf_transformation,[],[f24184])).
% 57.64/9.36 tff(f24184,plain,(
% 57.64/9.36 ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 <=> (one_one(X0) = X1 | zero_zero(X0) = X2)))),
% 57.64/9.36 inference(rectify,[],[f925])).
% 57.64/9.36 tff(f925,axiom,(
% 57.64/9.36 ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X11 : X0,X17 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17) = X17 <=> (one_one(X0) = X11 | zero_zero(X0) = X17)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_924_mult__cancel__right2)).
% 57.64/9.36 tff(f118908,plain,(
% 57.64/9.36 spl5880_5569),
% 57.64/9.36 inference(avatar_split_clause,[],[f66898,f118906])).
% 57.64/9.36 tff(f118906,plain,(
% 57.64/9.36 spl5880_5569 <=> ! [X4 : $tType,X6 : list(X4),X7 : X4] : aa(nat,X4,nth(X4,aa(list(X4),list(X4),cons(X4,X7),X6)),zero_zero(nat)) = X7),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5569])])).
% 57.64/9.36 tff(f66898,plain,(
% 57.64/9.36 ( ! [X4 : $tType,X6 : list(X4),X7 : X4] : (aa(nat,X4,nth(X4,aa(list(X4),list(X4),cons(X4,X7),X6)),zero_zero(nat)) = X7) )),
% 57.64/9.36 inference(equality_resolution,[],[f65283])).
% 57.64/9.36 tff(f65283,plain,(
% 57.64/9.36 ( ! [X4 : $tType,X6 : list(X4),X7 : X4,X5 : nat] : (aa(nat,X4,nth(X4,aa(list(X4),list(X4),cons(X4,X7),X6)),X5) = X7 | zero_zero(nat) != X5) )),
% 57.64/9.36 inference(definition_unfolding,[],[f46641,f62792])).
% 57.64/9.36 tff(f62792,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : list(X0),X3 : nat,X1 : X0] : (aa(nat,X0,nth(X0,aa(list(X0),list(X0),cons(X0,X1),X2)),X3) = iG1555(X0,X3,X2,X1)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f18982])).
% 57.64/9.36 tff(f18982,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat] : aa(nat,X0,nth(X0,aa(list(X0),list(X0),cons(X0,X1),X2)),X3) = iG1555(X0,X3,X2,X1)),
% 57.64/9.36 inference(fool_elimination,[],[f18980,f18981])).
% 57.64/9.36 tff(f18981,plain,(
% 57.64/9.36 ! [X0 : $tType,X3 : nat,X2 : list(X0),X1 : X0] : (~zero_zero(nat) = X3 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))) = iG1555(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : nat,X2 : list(X0),X1 : X0] : (zero_zero(nat) = X3 => iG1555(X0,X3,X2,X1) = X1)),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1555])])).
% 57.64/9.36 tff(f18980,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat] : aa(nat,X0,nth(X0,aa(list(X0),list(X0),cons(X0,X1),X2)),X3) = $ite(zero_zero(nat) = X3, X1,aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))))),
% 57.64/9.36 inference(rectify,[],[f6818])).
% 57.64/9.36 tff(f6818,axiom,(
% 57.64/9.36 ! [X0 : $tType,X9 : X0,X64 : list(X0),X8 : nat] : aa(nat,X0,nth(X0,aa(list(X0),list(X0),cons(X0,X9),X64)),X8) = $ite(zero_zero(nat) = X8, X9,aa(nat,X0,nth(X0,X64),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6817_nth__Cons_H)).
% 57.64/9.36 tff(f46641,plain,(
% 57.64/9.36 ( ! [X4 : $tType,X6 : list(X4),X7 : X4,X5 : nat] : (iG1555(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27486])).
% 57.64/9.36 tff(f27486,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1555(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (iG1555(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 57.64/9.36 inference(ennf_transformation,[],[f20908])).
% 57.64/9.36 tff(f20908,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1555(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => iG1555(X4,X5,X6,X7) = X7)),
% 57.64/9.36 inference(flattening,[],[f20907])).
% 57.64/9.36 tff(f20907,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1555(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => iG1555(X4,X5,X6,X7) = X7)),
% 57.64/9.36 inference(rectify,[],[f18981])).
% 57.64/9.36 tff(f118904,plain,(
% 57.64/9.36 spl5880_5568),
% 57.64/9.36 inference(avatar_split_clause,[],[f66842,f118902])).
% 57.64/9.36 tff(f118902,plain,(
% 57.64/9.36 spl5880_5568 <=> ! [X9 : nat,X7 : list(vEBT_VEBT),X6 : nat,X8 : nat] : (iG1782(X6,X6,X7,X8,X9) | member(vEBT_VEBT,sK2519(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5568])])).
% 57.64/9.36 tff(f66842,plain,(
% 57.64/9.36 ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT)] : (iG1782(X6,X6,X7,X8,X9) | member(vEBT_VEBT,sK2519(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) )),
% 57.64/9.36 inference(equality_resolution,[],[f46222])).
% 57.64/9.36 tff(f46222,plain,(
% 57.64/9.36 ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1782(X5,X6,X7,X8,X9) | member(vEBT_VEBT,sK2519(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) | X5 != X6) )),
% 57.64/9.36 inference(cnf_transformation,[],[f37993])).
% 57.64/9.36 tff(f37993,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (((iG1782(X5,X6,X7,X8,X9) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),sK2520(X7))) & member(vEBT_VEBT,sK2519(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | ~iG1782(X5,X6,X7,X8,X9))) | X5 != X6)),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2519,sK2520])],[f37990,f37992,f37991])).
% 57.64/9.36 tff(f37991,plain,(
% 57.64/9.36 ! [X7 : list(vEBT_VEBT)] : (? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) => (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),X11)) & member(vEBT_VEBT,sK2519(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f37992,plain,(
% 57.64/9.36 ! [X7 : list(vEBT_VEBT)] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),X11)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),sK2520(X7))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f37990,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (((iG1782(X5,X6,X7,X8,X9) | ? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | ~iG1782(X5,X6,X7,X8,X9))) | X5 != X6)),
% 57.64/9.36 inference(rectify,[],[f37989])).
% 57.64/9.36 tff(f37989,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (((iG1782(X6,X7,X8,X9,X10) | ? [X11 : vEBT_VEBT] : (? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) & member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) | ~iG1782(X6,X7,X8,X9,X10))) | X6 != X7)),
% 57.64/9.36 inference(nnf_transformation,[],[f36961])).
% 57.64/9.36 tff(f36961,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1782(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 57.64/9.36 inference(definition_folding,[],[f27328,f36960,f36959])).
% 57.64/9.36 tff(f36959,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1845(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1845])])).
% 57.64/9.36 tff(f36960,plain,(
% 57.64/9.36 ! [X4 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat,X0 : nat] : ((iG1782(X0,X1,X2,X3,X4) <=> sP1845(X0,X1,X2,X3,X4)) | ~sP1846(X4,X3,X2,X1,X0))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1846])])).
% 57.64/9.36 tff(f27328,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((iG1782(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0))) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1782(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 57.64/9.36 inference(flattening,[],[f27327])).
% 57.64/9.36 tff(f27327,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((iG1782(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0))) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1782(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 57.64/9.36 inference(ennf_transformation,[],[f20562])).
% 57.64/9.36 tff(f20562,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (X0 != X1 => (iG1782(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) => (vEBT_V5917875025757280293ildren(X3,X2,X5) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (X6 = X7 => (iG1782(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)) => ~? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)))))),
% 57.64/9.36 inference(flattening,[],[f20561])).
% 57.64/9.36 tff(f20561,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~X0 = X1 => (iG1782(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) => (vEBT_V5917875025757280293ildren(X3,X2,X5) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (X6 = X7 => (iG1782(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)) => ~? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)))))),
% 57.64/9.36 inference(rectify,[],[f20298])).
% 57.64/9.36 tff(f20298,plain,(
% 57.64/9.36 ! [X6 : nat,X5 : nat,X1 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~X5 = X6 => (iG1782(X6,X5,X1,X3,X0) <=> (! [X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) => (vEBT_V5917875025757280293ildren(X3,X1,X9) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X9),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X9))))) & vEBT_V5917875025757280293ildren(X3,X1,X6)))) & ! [X6 : nat,X5 : nat,X1 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (X5 = X6 => (iG1782(X6,X5,X1,X3,X0) <=> ! [X7 : vEBT_VEBT] : (member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)) => ~? [X8 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)))))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1782])])).
% 57.64/9.36 tff(f118900,plain,(
% 57.64/9.36 spl5880_5567),
% 57.64/9.36 inference(avatar_split_clause,[],[f66575,f118898])).
% 57.64/9.36 tff(f118898,plain,(
% 57.64/9.36 spl5880_5567 <=> ! [X1 : $tType,X0 : $tType,X4 : X1,X3 : fun(X1,X0),X2 : X0] : aa(X1,X0,X3,X4) = iG1579(X0,X1,aa(X1,option(X1),some(X1),X4),X3,X2)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5567])])).
% 57.64/9.36 tff(f66575,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : X1] : (aa(X1,X0,X3,X4) = iG1579(X0,X1,aa(X1,option(X1),some(X1),X4),X3,X2)) )),
% 57.64/9.36 inference(definition_unfolding,[],[f63609,f63657])).
% 57.64/9.36 tff(f63657,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : option(X1)] : (case_option(X0,X1,X2,X3,X4) = iG1579(X0,X1,X4,X3,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f19484])).
% 57.64/9.36 tff(f19484,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : option(X1)] : case_option(X0,X1,X2,X3,X4) = iG1579(X0,X1,X4,X3,X2)),
% 57.64/9.36 inference(fool_elimination,[],[f19482,f19483])).
% 57.64/9.36 tff(f19483,plain,(
% 57.64/9.36 ! [X0 : $tType,X4 : option(X1),X1 : $tType,X3 : fun(X1,X0),X2 : X0] : (~none(X1) = X4 => aa(X1,X0,X3,aa(option(X1),X1,the2(X1),X4)) = iG1579(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : option(X1),X1 : $tType,X3 : fun(X1,X0),X2 : X0] : (none(X1) = X4 => iG1579(X0,X1,X4,X3,X2) = X2)),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1579])])).
% 57.64/9.36 tff(f19482,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : option(X1)] : case_option(X0,X1,X2,X3,X4) = $ite(none(X1) = X4, X2,aa(X1,X0,X3,aa(option(X1),X1,the2(X1),X4)))),
% 57.64/9.36 inference(rectify,[],[f7362])).
% 57.64/9.36 tff(f7362,axiom,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X230 : X0,X293 : fun(X1,X0),X97 : option(X1)] : case_option(X0,X1,X230,X293,X97) = $ite(none(X1) = X97, X230,aa(X1,X0,X293,aa(option(X1),X1,the2(X1),X97)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7361_option_Ocase__eq__if)).
% 57.64/9.36 tff(f63609,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : X1] : (aa(X1,X0,X3,X4) = case_option(X0,X1,X2,X3,aa(X1,option(X1),some(X1),X4))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27007])).
% 57.64/9.36 tff(f27007,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : fun(X1,X0),X4 : X1] : aa(X1,X0,X3,X4) = case_option(X0,X1,X2,X3,aa(X1,option(X1),some(X1),X4))),
% 57.64/9.36 inference(rectify,[],[f7360])).
% 57.64/9.36 tff(f7360,axiom,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X230 : X0,X293 : fun(X1,X0),X38 : X1] : case_option(X0,X1,X230,X293,aa(X1,option(X1),some(X1),X38)) = aa(X1,X0,X293,X38)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7359_option_Osimps_I5_J)).
% 57.64/9.36 tff(f118896,plain,(
% 57.64/9.36 spl5880_5566),
% 57.64/9.36 inference(avatar_split_clause,[],[f65751,f118893])).
% 57.64/9.36 tff(f118893,plain,(
% 57.64/9.36 spl5880_5566 <=> aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5566])])).
% 57.64/9.36 tff(f65751,plain,(
% 57.64/9.36 aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)),
% 57.64/9.36 inference(definition_unfolding,[],[f50034,f50301])).
% 57.64/9.36 tff(f50301,plain,(
% 57.64/9.36 ( ! [X0 : num] : (inc(X0) = aa(num,num,aa(num,fun(num,num),plus_plus(num),X0),one2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f22830])).
% 57.64/9.36 tff(f22830,plain,(
% 57.64/9.36 ! [X0 : num] : inc(X0) = aa(num,num,aa(num,fun(num,num),plus_plus(num),X0),one2)),
% 57.64/9.36 inference(rectify,[],[f3195])).
% 57.64/9.36 tff(f3195,axiom,(
% 57.64/9.36 ! [X9 : num] : inc(X9) = aa(num,num,aa(num,fun(num,num),plus_plus(num),X9),one2)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3194_add__One)).
% 57.64/9.36 tff(f50034,plain,(
% 57.64/9.36 aa(num,num,bit0,one2) = inc(one2)),
% 57.64/9.36 inference(cnf_transformation,[],[f3190])).
% 57.64/9.36 tff(f3190,axiom,(
% 57.64/9.36 aa(num,num,bit0,one2) = inc(one2)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3189_inc_Osimps_I1_J)).
% 57.64/9.36 tff(f118891,plain,(
% 57.64/9.36 spl5880_5565 | ~spl5880_4554 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f116928,f114695,f105978,f118889])).
% 57.64/9.36 tff(f118889,plain,(
% 57.64/9.36 spl5880_5565 <=> ! [X0 : nat] : iG1509(X0,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5565])])).
% 57.64/9.36 tff(f105978,plain,(
% 57.64/9.36 spl5880_4554 <=> iG1509(iG271,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4554])])).
% 57.64/9.36 tff(f116928,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG1509(X0,$true)) ) | (~spl5880_4554 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f105980,f114696])).
% 57.64/9.36 tff(f105980,plain,(
% 57.64/9.36 iG1509(iG271,$true) | ~spl5880_4554),
% 57.64/9.36 inference(avatar_component_clause,[],[f105978])).
% 57.64/9.36 tff(f118887,plain,(
% 57.64/9.36 spl5880_5564),
% 57.64/9.36 inference(avatar_split_clause,[],[f65256,f118885])).
% 57.64/9.36 tff(f118885,plain,(
% 57.64/9.36 spl5880_5564 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,option(X0)),X2 : X3,X1 : set(X3)] : (none(X0) = aa(X3,option(X0),restrict_map(X3,X0,X4,X1),X2) | member(X3,X2,X1))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5564])])).
% 57.64/9.36 tff(f65256,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,option(X0))] : (none(X0) = aa(X3,option(X0),restrict_map(X3,X0,X4,X1),X2) | member(X3,X2,X1)) )),
% 57.64/9.36 inference(definition_unfolding,[],[f46578,f63660])).
% 57.64/9.36 tff(f63660,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,option(X1)),X3 : set(X0),X4 : X0] : (aa(X0,option(X1),restrict_map(X0,X1,X2,X3),X4) = iG1582(X1,X0,X3,X4,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f19493])).
% 57.64/9.36 tff(f19493,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,option(X1)),X3 : set(X0),X4 : X0] : aa(X0,option(X1),restrict_map(X0,X1,X2,X3),X4) = iG1582(X1,X0,X3,X4,X2)),
% 57.64/9.36 inference(fool_elimination,[],[f19491,f19492])).
% 57.64/9.36 tff(f19492,plain,(
% 57.64/9.36 ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,option(X1))] : (~member(X0,X4,X3) => none(X1) = iG1582(X1,X0,X3,X4,X2)) & ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,option(X1))] : (member(X0,X4,X3) => aa(X0,option(X1),X2,X4) = iG1582(X1,X0,X3,X4,X2))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1582])])).
% 57.64/9.36 tff(f19491,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,option(X1)),X3 : set(X0),X4 : X0] : aa(X0,option(X1),restrict_map(X0,X1,X2,X3),X4) = $ite(member(X0,X4,X3), aa(X0,option(X1),X2,X4),none(X1))),
% 57.64/9.36 inference(rectify,[],[f7356])).
% 57.64/9.36 tff(f7356,axiom,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X15 : fun(X0,option(X1)),X27 : set(X0),X50 : X0] : aa(X0,option(X1),restrict_map(X0,X1,X15,X27),X50) = $ite(member(X0,X50,X27), aa(X0,option(X1),X15,X50),none(X1))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7355_restrict__map__def)).
% 57.64/9.36 tff(f46578,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,option(X0))] : (none(X0) = iG1582(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f27465])).
% 57.64/9.36 tff(f27465,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,option(X0))] : (none(X0) = iG1582(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,option(X5))] : (aa(X8,option(X5),X9,X7) = iG1582(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 57.64/9.36 inference(ennf_transformation,[],[f20864])).
% 57.64/9.36 tff(f20864,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,option(X0))] : (~member(X3,X2,X1) => none(X0) = iG1582(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,option(X5))] : (member(X8,X7,X6) => aa(X8,option(X5),X9,X7) = iG1582(X5,X8,X6,X7,X9))),
% 57.64/9.36 inference(flattening,[],[f20863])).
% 57.64/9.36 tff(f20863,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,option(X0))] : (~member(X3,X2,X1) => none(X0) = iG1582(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,option(X5))] : (member(X8,X7,X6) => aa(X8,option(X5),X9,X7) = iG1582(X5,X8,X6,X7,X9))),
% 57.64/9.36 inference(rectify,[],[f19492])).
% 57.64/9.36 tff(f118883,plain,(
% 57.64/9.36 spl5880_5563),
% 57.64/9.36 inference(avatar_split_clause,[],[f64224,f118881])).
% 57.64/9.36 tff(f118881,plain,(
% 57.64/9.36 spl5880_5563 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : nat,X1 : fun(X0,fun(X0,$o))] : (aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X2) = X3 | ~sP2484(X0,X1,X2,X3,X4))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5563])])).
% 57.64/9.36 tff(f64224,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : fun(X0,fun(X0,$o)),X4 : X0] : (aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X2) = X3 | ~sP2484(X0,X1,X2,X3,X4)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45771])).
% 57.64/9.36 tff(f45771,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : nat,X3 : X0,X4 : X0] : ((sP2484(X0,X1,X2,X3,X4) | ! [X5 : fun(nat,X0)] : ((($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X5,sK5695(X0,X1,X2,X5))),aa(nat,X0,X5,aa(nat,nat,suc,sK5695(X0,X1,X2,X5))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5695(X0,X1,X2,X5)),X2))) | aa(nat,X0,X5,X2) != X3 | aa(nat,X0,X5,zero_zero(nat)) != X4)) & ((! [X8 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X8)),aa(nat,X0,sK5696(X0,X1,X2,X3,X4),aa(nat,nat,suc,X8)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X2) = X3 & aa(nat,X0,sK5696(X0,X1,X2,X3,X4),zero_zero(nat)) = X4) | ~sP2484(X0,X1,X2,X3,X4)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5695,sK5696])],[f45768,f45770,f45769])).
% 57.64/9.36 tff(f45769,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : nat,X5 : fun(nat,X0)] : (? [X6 : nat] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) => (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X5,sK5695(X0,X1,X2,X5))),aa(nat,X0,X5,aa(nat,nat,suc,sK5695(X0,X1,X2,X5))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5695(X0,X1,X2,X5)),X2))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f45770,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : nat,X3 : X0,X4 : X0] : (? [X7 : fun(nat,X0)] : (! [X8 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X7,X8)),aa(nat,X0,X7,aa(nat,nat,suc,X8)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X0,X7,X2) = X3 & aa(nat,X0,X7,zero_zero(nat)) = X4) => (! [X8 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X8)),aa(nat,X0,sK5696(X0,X1,X2,X3,X4),aa(nat,nat,suc,X8)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X0,sK5696(X0,X1,X2,X3,X4),X2) = X3 & aa(nat,X0,sK5696(X0,X1,X2,X3,X4),zero_zero(nat)) = X4))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f45768,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : nat,X3 : X0,X4 : X0] : ((sP2484(X0,X1,X2,X3,X4) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | aa(nat,X0,X5,X2) != X3 | aa(nat,X0,X5,zero_zero(nat)) != X4)) & (? [X7 : fun(nat,X0)] : (! [X8 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,aa(nat,X0,X7,X8)),aa(nat,X0,X7,aa(nat,nat,suc,X8)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X0,X7,X2) = X3 & aa(nat,X0,X7,zero_zero(nat)) = X4) | ~sP2484(X0,X1,X2,X3,X4)))),
% 57.64/9.36 inference(rectify,[],[f45767])).
% 57.64/9.36 tff(f45767,plain,(
% 57.64/9.36 ! [X0 : $tType,X2 : fun(X0,fun(X0,$o)),X1 : nat,X4 : X0,X3 : X0] : ((sP2484(X0,X2,X1,X4,X3) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) | aa(nat,X0,X5,X1) != X4 | aa(nat,X0,X5,zero_zero(nat)) != X3)) & (? [X5 : fun(nat,X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(nat,X0,X5,X1) = X4 & aa(nat,X0,X5,zero_zero(nat)) = X3) | ~sP2484(X0,X2,X1,X4,X3)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37900])).
% 57.64/9.36 tff(f37900,plain,(
% 57.64/9.36 ! [X0 : $tType,X2 : fun(X0,fun(X0,$o)),X1 : nat,X4 : X0,X3 : X0] : (sP2484(X0,X2,X1,X4,X3) <=> ? [X5 : fun(nat,X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(nat,X0,X5,X1) = X4 & aa(nat,X0,X5,zero_zero(nat)) = X3))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2484])])).
% 57.64/9.36 tff(f118879,plain,(
% 57.64/9.36 spl5880_5562),
% 57.64/9.36 inference(avatar_split_clause,[],[f64117,f118877])).
% 57.64/9.36 tff(f118877,plain,(
% 57.64/9.36 spl5880_5562 <=> ! [X1 : $tType,X4 : X1,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : nat] : (aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X2) = X3 | ~sP2481(X1,X0,X2,X3,X4))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5562])])).
% 57.64/9.36 tff(f64117,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X2 : nat,X3 : X1,X0 : set(product_prod(X1,X1)),X4 : X1] : (aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X2) = X3 | ~sP2481(X1,X0,X2,X3,X4)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45683])).
% 57.64/9.36 tff(f45683,plain,(
% 57.64/9.36 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : nat,X3 : X1,X4 : X1] : ((sP2481(X1,X0,X2,X3,X4) | ! [X5 : fun(nat,X1)] : ((~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X5,sK5670(X1,X0,X2,X5))),aa(nat,X1,X5,aa(nat,nat,suc,sK5670(X1,X0,X2,X5)))),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5670(X1,X0,X2,X5)),X2))) | aa(nat,X1,X5,X2) != X3 | aa(nat,X1,X5,zero_zero(nat)) != X4)) & ((! [X8 : nat] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X8)),aa(nat,X1,sK5671(X1,X0,X2,X3,X4),aa(nat,nat,suc,X8))),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X2) = X3 & aa(nat,X1,sK5671(X1,X0,X2,X3,X4),zero_zero(nat)) = X4) | ~sP2481(X1,X0,X2,X3,X4)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5670,sK5671])],[f45680,f45682,f45681])).
% 57.64/9.36 tff(f45681,plain,(
% 57.64/9.36 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : nat,X5 : fun(nat,X1)] : (? [X6 : nat] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X5,X6)),aa(nat,X1,X5,aa(nat,nat,suc,X6))),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) => (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X5,sK5670(X1,X0,X2,X5))),aa(nat,X1,X5,aa(nat,nat,suc,sK5670(X1,X0,X2,X5)))),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5670(X1,X0,X2,X5)),X2))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f45682,plain,(
% 57.64/9.36 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : nat,X3 : X1,X4 : X1] : (? [X7 : fun(nat,X1)] : (! [X8 : nat] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X7,X8)),aa(nat,X1,X7,aa(nat,nat,suc,X8))),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X1,X7,X2) = X3 & aa(nat,X1,X7,zero_zero(nat)) = X4) => (! [X8 : nat] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X8)),aa(nat,X1,sK5671(X1,X0,X2,X3,X4),aa(nat,nat,suc,X8))),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X1,sK5671(X1,X0,X2,X3,X4),X2) = X3 & aa(nat,X1,sK5671(X1,X0,X2,X3,X4),zero_zero(nat)) = X4))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f45680,plain,(
% 57.64/9.36 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : nat,X3 : X1,X4 : X1] : ((sP2481(X1,X0,X2,X3,X4) | ! [X5 : fun(nat,X1)] : (? [X6 : nat] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X5,X6)),aa(nat,X1,X5,aa(nat,nat,suc,X6))),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | aa(nat,X1,X5,X2) != X3 | aa(nat,X1,X5,zero_zero(nat)) != X4)) & (? [X7 : fun(nat,X1)] : (! [X8 : nat] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),aa(nat,X1,X7,X8)),aa(nat,X1,X7,aa(nat,nat,suc,X8))),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X2))) & aa(nat,X1,X7,X2) = X3 & aa(nat,X1,X7,zero_zero(nat)) = X4) | ~sP2481(X1,X0,X2,X3,X4)))),
% 57.64/9.36 inference(rectify,[],[f45679])).
% 57.64/9.36 tff(f45679,plain,(
% 57.64/9.36 ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : ((sP2481(X0,X4,X3,X2,X1) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6))),X4) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X3))) | aa(nat,X0,X5,X3) != X2 | aa(nat,X0,X5,zero_zero(nat)) != X1)) & (? [X5 : fun(nat,X0)] : (! [X6 : nat] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6))),X4) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X3))) & aa(nat,X0,X5,X3) = X2 & aa(nat,X0,X5,zero_zero(nat)) = X1) | ~sP2481(X0,X4,X3,X2,X1)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37894])).
% 57.64/9.36 tff(f37894,plain,(
% 57.64/9.36 ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : (sP2481(X0,X4,X3,X2,X1) <=> ? [X5 : fun(nat,X0)] : (! [X6 : nat] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6))),X4) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X3))) & aa(nat,X0,X5,X3) = X2 & aa(nat,X0,X5,zero_zero(nat)) = X1))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2481])])).
% 57.64/9.36 tff(f118875,plain,(
% 57.64/9.36 spl5880_5561),
% 57.64/9.36 inference(avatar_split_clause,[],[f64051,f118873])).
% 57.64/9.36 tff(f118873,plain,(
% 57.64/9.36 spl5880_5561 <=> ! [X4 : int,X0 : nat,X3 : int,X2 : int,X1 : int] : (X2 = X4 | aa(int,int,bit_concat_bit(X0,X1),X2) != aa(int,int,bit_concat_bit(X0,X3),X4))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5561])])).
% 57.64/9.36 tff(f64051,plain,(
% 57.64/9.36 ( ! [X2 : int,X3 : int,X0 : nat,X1 : int,X4 : int] : (X2 = X4 | aa(int,int,bit_concat_bit(X0,X1),X2) != aa(int,int,bit_concat_bit(X0,X3),X4)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45623])).
% 57.64/9.36 tff(f45623,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : int,X2 : int,X3 : int,X4 : int] : ((aa(int,int,bit_concat_bit(X0,X1),X2) = aa(int,int,bit_concat_bit(X0,X3),X4) | X2 != X4 | aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) != aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X3)) & ((X2 = X4 & aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X3)) | aa(int,int,bit_concat_bit(X0,X1),X2) != aa(int,int,bit_concat_bit(X0,X3),X4)))),
% 57.64/9.36 inference(flattening,[],[f45622])).
% 57.64/9.36 tff(f45622,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : int,X2 : int,X3 : int,X4 : int] : ((aa(int,int,bit_concat_bit(X0,X1),X2) = aa(int,int,bit_concat_bit(X0,X3),X4) | (X2 != X4 | aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) != aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X3))) & ((X2 = X4 & aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X3)) | aa(int,int,bit_concat_bit(X0,X1),X2) != aa(int,int,bit_concat_bit(X0,X3),X4)))),
% 57.64/9.36 inference(nnf_transformation,[],[f27143])).
% 57.64/9.36 tff(f27143,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : int,X2 : int,X3 : int,X4 : int] : (aa(int,int,bit_concat_bit(X0,X1),X2) = aa(int,int,bit_concat_bit(X0,X3),X4) <=> (X2 = X4 & aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X3)))),
% 57.64/9.36 inference(rectify,[],[f2964])).
% 57.64/9.36 tff(f2964,axiom,(
% 57.64/9.36 ! [X8 : nat,X24 : int,X14 : int,X92 : int,X55 : int] : (aa(int,int,bit_concat_bit(X8,X24),X14) = aa(int,int,bit_concat_bit(X8,X92),X55) <=> (X14 = X55 & aa(int,int,bit_se2584673776208193580ke_bit(int,X8),X24) = aa(int,int,bit_se2584673776208193580ke_bit(int,X8),X92)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2963_concat__bit__eq__iff)).
% 57.64/9.36 tff(f118871,plain,(
% 57.64/9.36 spl5880_5560),
% 57.64/9.36 inference(avatar_split_clause,[],[f64046,f118869])).
% 57.64/9.36 tff(f118869,plain,(
% 57.64/9.36 spl5880_5560 <=> ! [X0 : $tType,X2 : list(X0),X4 : X0,X3 : nat,X1 : X0] : (X1 = X4 | aa(list(X0),list(X0),cons(X0,X1),X2) != replicate(X0,X3,X4))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5560])])).
% 57.64/9.36 tff(f64046,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : list(X0),X3 : nat,X1 : X0,X4 : X0] : (X1 = X4 | aa(list(X0),list(X0),cons(X0,X1),X2) != replicate(X0,X3,X4)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45621])).
% 57.64/9.36 tff(f45621,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat,X4 : X0] : ((aa(list(X0),list(X0),cons(X0,X1),X2) = replicate(X0,X3,X4) | replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) != X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3)) | X1 != X4) & ((replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3)) & X1 = X4) | aa(list(X0),list(X0),cons(X0,X1),X2) != replicate(X0,X3,X4)))),
% 57.64/9.36 inference(flattening,[],[f45620])).
% 57.64/9.36 tff(f45620,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat,X4 : X0] : ((aa(list(X0),list(X0),cons(X0,X1),X2) = replicate(X0,X3,X4) | (replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) != X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3)) | X1 != X4)) & ((replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3)) & X1 = X4) | aa(list(X0),list(X0),cons(X0,X1),X2) != replicate(X0,X3,X4)))),
% 57.64/9.36 inference(nnf_transformation,[],[f19747])).
% 57.64/9.36 tff(f19747,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat,X4 : X0] : (aa(list(X0),list(X0),cons(X0,X1),X2) = replicate(X0,X3,X4) <=> (replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3)) & X1 = X4))),
% 57.64/9.36 inference(fool_elimination,[],[f19746])).
% 57.64/9.36 tff(f19746,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : nat,X4 : X0] : (aa(list(X0),list(X0),cons(X0,X1),X2) = replicate(X0,X3,X4) <=> (replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat)),X1) = X2 & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X3) & X1 = X4))),
% 57.64/9.36 inference(rectify,[],[f6822])).
% 57.64/9.36 tff(f6822,axiom,(
% 57.64/9.36 ! [X0 : $tType,X9 : X0,X64 : list(X0),X8 : nat,X18 : X0] : (replicate(X0,X8,X18) = aa(list(X0),list(X0),cons(X0,X9),X64) <=> (replicate(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat)),X9) = X64 & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X8) & X9 = X18))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6821_Cons__replicate__eq)).
% 57.64/9.36 tff(f118867,plain,(
% 57.64/9.36 spl5880_5559),
% 57.64/9.36 inference(avatar_split_clause,[],[f64043,f118865])).
% 57.64/9.36 tff(f118865,plain,(
% 57.64/9.36 spl5880_5559 <=> ! [X1 : $tType,X0 : $tType,X4 : set(X1),X3 : X1,X2 : fun(X1,X0)] : (inj_on(X1,X0,X2,X4) | ~inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5559])])).
% 57.64/9.36 tff(f64043,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X1,X4 : set(X1)] : (inj_on(X1,X0,X2,X4) | ~inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45619])).
% 57.64/9.36 tff(f45619,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : X1,X4 : set(X1)] : ((inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4)) | member(X0,aa(X1,X0,X2,X3),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X4),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) | ~inj_on(X1,X0,X2,X4)) & ((~member(X0,aa(X1,X0,X2,X3),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X4),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) & inj_on(X1,X0,X2,X4)) | ~inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4))))),
% 57.64/9.36 inference(flattening,[],[f45618])).
% 57.64/9.36 tff(f45618,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : X1,X4 : set(X1)] : ((inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4)) | (member(X0,aa(X1,X0,X2,X3),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X4),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) | ~inj_on(X1,X0,X2,X4))) & ((~member(X0,aa(X1,X0,X2,X3),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X4),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) & inj_on(X1,X0,X2,X4)) | ~inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4))))),
% 57.64/9.36 inference(nnf_transformation,[],[f27142])).
% 57.64/9.36 tff(f27142,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : X1,X4 : set(X1)] : (inj_on(X1,X0,X2,aa(set(X1),set(X1),insert(X1,X3),X4)) <=> (~member(X0,aa(X1,X0,X2,X3),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X4),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) & inj_on(X1,X0,X2,X4)))),
% 57.64/9.36 inference(rectify,[],[f6939])).
% 57.64/9.36 tff(f6939,axiom,(
% 57.64/9.36 ! [X1 : $tType,X0 : $tType,X30 : fun(X0,X1),X11 : X0,X27 : set(X0)] : (inj_on(X0,X1,X30,aa(set(X0),set(X0),insert(X0,X11),X27)) <=> (~member(X1,aa(X0,X1,X30,X11),aa(set(X0),set(X1),image(X0,X1,X30),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X11),bot_bot(set(X0)))))) & inj_on(X0,X1,X30,X27)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6938_inj__on__insert)).
% 57.64/9.36 tff(f118863,plain,(
% 57.64/9.36 spl5880_5558),
% 57.64/9.36 inference(avatar_split_clause,[],[f63377,f118861])).
% 57.64/9.36 tff(f118861,plain,(
% 57.64/9.36 spl5880_5558 <=> ! [X0 : nat,X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : (vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3) | ~iG1568(X1,X0,X3))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5558])])).
% 57.64/9.36 tff(f63377,plain,(
% 57.64/9.36 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3) | ~iG1568(X1,X0,X3)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f45215])).
% 57.64/9.36 tff(f45215,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ((vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3) | ~iG1568(X1,X0,X3)) & (iG1568(X1,X0,X3) | ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3)))),
% 57.64/9.36 inference(nnf_transformation,[],[f19331])).
% 57.64/9.36 tff(f19331,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : (vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3) <=> iG1568(X1,X0,X3))),
% 57.64/9.36 inference(fool_elimination,[],[f19328,f19330,f19329])).
% 57.64/9.36 tff(f19329,plain,(
% 57.64/9.36 ! [X3 : nat,X0 : nat] : vEBT_VEBT_high(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1567(X3,X0)),
% 57.64/9.36 introduced(fool_let_definition,[new_symbols(definition,[lG1567])])).
% 57.64/9.36 tff(f19330,plain,(
% 57.64/9.36 ! [X1 : list(vEBT_VEBT),X0 : nat,X3 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1567(X3,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X1))) => (iG1568(X1,X0,X3) <=> $false)) & ! [X1 : list(vEBT_VEBT),X0 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1567(X3,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X1))) => (iG1568(X1,X0,X3) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),lG1567(X3,X0)),vEBT_VEBT_low(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 57.64/9.36 introduced(fool_ite_definition,[new_symbols(definition,[iG1568])])).
% 57.64/9.36 tff(f19328,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : (vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X0),X1,X2),X3) <=> $let(pos168: nat, pos168 := vEBT_VEBT_high(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos168),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X1)), vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),pos168),vEBT_VEBT_low(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))),
% 57.64/9.36 inference(rectify,[],[f1555])).
% 57.64/9.36 tff(f1555,axiom,(
% 57.64/9.36 ! [X16 : nat,X57 : list(vEBT_VEBT),X161 : vEBT_VEBT,X9 : nat] : (vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X57,X161),X9) <=> $let(pos168: nat, pos168 := vEBT_VEBT_high(X9,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos168),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X57)), vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X57),pos168),vEBT_VEBT_low(X9,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1554_VEBT__internal_Omembermima_Osimps_I5_J)).
% 57.64/9.36 tff(f118859,plain,(
% 57.64/9.36 spl5880_5557),
% 57.64/9.36 inference(avatar_split_clause,[],[f62628,f118857])).
% 57.64/9.36 tff(f118857,plain,(
% 57.64/9.36 spl5880_5557 <=> ! [X2 : list(vEBT_VEBT),X0 : product_prod(nat,nat),X1 : nat,X3 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5557])])).
% 57.64/9.36 tff(f62628,plain,(
% 57.64/9.36 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : product_prod(nat,nat),X1 : nat] : (~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f26724])).
% 57.64/9.36 tff(f26724,plain,(
% 57.64/9.36 ! [X0 : product_prod(nat,nat),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))),
% 57.64/9.36 inference(rectify,[],[f708])).
% 57.64/9.36 tff(f708,axiom,(
% 57.64/9.36 ! [X101 : product_prod(nat,nat),X77 : nat,X114 : list(vEBT_VEBT),X125 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X101),X77,X114,X125))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_707_VEBT__internal_OminNull_Osimps_I5_J)).
% 57.64/9.36 tff(f118855,plain,(
% 57.64/9.36 spl5880_5556),
% 57.64/9.36 inference(avatar_split_clause,[],[f62398,f118853])).
% 57.64/9.36 tff(f118853,plain,(
% 57.64/9.36 spl5880_5556 <=> ! [X0 : $tType,X2 : set(X0),X1 : set(X0)] : (finite_finite(X0,X2) | ($true != aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5556])])).
% 57.64/9.36 tff(f62398,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : set(X0),X1 : set(X0)] : (finite_finite(X0,X2) | ($true != aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44657])).
% 57.64/9.36 tff(f44657,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : ((($true = aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2)) | ~finite_finite(X0,X2) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1))) & ((finite_finite(X0,X2) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1))) | ($true != aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2))))),
% 57.64/9.36 inference(flattening,[],[f44656])).
% 57.64/9.36 tff(f44656,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : ((($true = aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2)) | (~finite_finite(X0,X2) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1)))) & ((finite_finite(X0,X2) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1))) | ($true != aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2))))),
% 57.64/9.36 inference(nnf_transformation,[],[f18743])).
% 57.64/9.36 tff(f18743,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : (($true = aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2)) <=> (finite_finite(X0,X2) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1))))),
% 57.64/9.36 inference(fool_elimination,[],[f18742])).
% 57.64/9.36 tff(f18742,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0),X2 : set(X0)] : (aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X1),X2) <=> (finite_finite(X0,X2) & aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),X1)))),
% 57.64/9.36 inference(rectify,[],[f8273])).
% 57.64/9.36 tff(f8273,axiom,(
% 57.64/9.36 ! [X0 : $tType,X105 : set(X0),X448 : set(X0)] : (aa(set(X0),$o,aTP_Lamp_mv(set(X0),fun(set(X0),$o),X105),X448) <=> (finite_finite(X0,X448) & aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X448),X105)))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8272_ATP_Olambda__92)).
% 57.64/9.36 tff(f118851,plain,(
% 57.64/9.36 spl5880_5555),
% 57.64/9.36 inference(avatar_split_clause,[],[f62292,f118849])).
% 57.64/9.36 tff(f118849,plain,(
% 57.64/9.36 spl5880_5555 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (member(X1,sK5276(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2)) | ~sP2393(X1,X0,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5555])])).
% 57.64/9.36 tff(f62292,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (member(X1,sK5276(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2)) | ~sP2393(X1,X0,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44583])).
% 57.64/9.36 tff(f44583,plain,(
% 57.64/9.36 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2393(X1,X0,X2) | ! [X3 : X1] : (($true != aa(X1,$o,X0,X3)) | ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X2)))) & ((($true = aa(X1,$o,X0,sK5276(X1,X0,X2))) & member(X1,sK5276(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))) | ~sP2393(X1,X0,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5276])],[f44581,f44582])).
% 57.64/9.36 tff(f44582,plain,(
% 57.64/9.36 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X4 : X1] : (($true = aa(X1,$o,X0,X4)) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X2))) => (($true = aa(X1,$o,X0,sK5276(X1,X0,X2))) & member(X1,sK5276(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44581,plain,(
% 57.64/9.36 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2393(X1,X0,X2) | ! [X3 : X1] : (($true != aa(X1,$o,X0,X3)) | ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X2)))) & (? [X4 : X1] : (($true = aa(X1,$o,X0,X4)) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X2))) | ~sP2393(X1,X0,X2)))),
% 57.64/9.36 inference(rectify,[],[f44580])).
% 57.64/9.36 tff(f44580,plain,(
% 57.64/9.36 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : ((sP2393(X0,X2,X1) | ! [X3 : X0] : (($true != aa(X0,$o,X2,X3)) | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)))) & (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | ~sP2393(X0,X2,X1)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37744])).
% 57.64/9.36 tff(f37744,plain,(
% 57.64/9.36 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : (sP2393(X0,X2,X1) <=> ? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2393])])).
% 57.64/9.36 tff(f118847,plain,(
% 57.64/9.36 spl5880_5554 | ~spl5880_4545 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f116927,f114695,f105933,f118845])).
% 57.64/9.36 tff(f118845,plain,(
% 57.64/9.36 spl5880_5554 <=> ! [X0 : nat] : iG1537(X0,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5554])])).
% 57.64/9.36 tff(f105933,plain,(
% 57.64/9.36 spl5880_4545 <=> iG1537(iG271,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4545])])).
% 57.64/9.36 tff(f116927,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG1537(X0,$true)) ) | (~spl5880_4545 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f105935,f114696])).
% 57.64/9.36 tff(f105935,plain,(
% 57.64/9.36 iG1537(iG271,$true) | ~spl5880_4545),
% 57.64/9.36 inference(avatar_component_clause,[],[f105933])).
% 57.64/9.36 tff(f118843,plain,(
% 57.64/9.36 spl5880_5553),
% 57.64/9.36 inference(avatar_split_clause,[],[f62282,f118841])).
% 57.64/9.36 tff(f118841,plain,(
% 57.64/9.36 spl5880_5553 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (member(X1,sK5271(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2)) | ~sP2391(X1,X0,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5553])])).
% 57.64/9.36 tff(f62282,plain,(
% 57.64/9.36 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (member(X1,sK5271(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2)) | ~sP2391(X1,X0,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44573])).
% 57.64/9.36 tff(f44573,plain,(
% 57.64/9.36 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2391(X1,X0,X2) | ! [X3 : X1] : (($true != aa(X1,$o,X0,X3)) | ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X2)))) & ((($true = aa(X1,$o,X0,sK5271(X1,X0,X2))) & member(X1,sK5271(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))) | ~sP2391(X1,X0,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5271])],[f44571,f44572])).
% 57.64/9.36 tff(f44572,plain,(
% 57.64/9.36 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X4 : X1] : (($true = aa(X1,$o,X0,X4)) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X2))) => (($true = aa(X1,$o,X0,sK5271(X1,X0,X2))) & member(X1,sK5271(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44571,plain,(
% 57.64/9.36 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2391(X1,X0,X2) | ! [X3 : X1] : (($true != aa(X1,$o,X0,X3)) | ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X2)))) & (? [X4 : X1] : (($true = aa(X1,$o,X0,X4)) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X2))) | ~sP2391(X1,X0,X2)))),
% 57.64/9.36 inference(rectify,[],[f44570])).
% 57.64/9.36 tff(f44570,plain,(
% 57.64/9.36 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : ((sP2391(X0,X2,X1) | ! [X3 : X0] : (($true != aa(X0,$o,X2,X3)) | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)))) & (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | ~sP2391(X0,X2,X1)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37741])).
% 57.64/9.36 tff(f37741,plain,(
% 57.64/9.36 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : (sP2391(X0,X2,X1) <=> ? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2391])])).
% 57.64/9.36 tff(f118839,plain,(
% 57.64/9.36 spl5880_5552),
% 57.64/9.36 inference(avatar_split_clause,[],[f62088,f118837])).
% 57.64/9.36 tff(f118837,plain,(
% 57.64/9.36 spl5880_5552 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~sP2385(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5552])])).
% 57.64/9.36 tff(f62088,plain,(
% 57.64/9.36 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~sP2385(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44402])).
% 57.64/9.36 tff(f44402,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((sP2385(X0,X1,X2) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK5227(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK5227(X0,X1,X2))) & ($true = aa(nat,$o,vEBT_vebt_member(X2),sK5227(X0,X1,X2)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X0))) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X0))) | ~sP2385(X0,X1,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5227])],[f44400,f44401])).
% 57.64/9.36 tff(f44401,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X3))) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK5227(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK5227(X0,X1,X2))) & ($true = aa(nat,$o,vEBT_vebt_member(X2),sK5227(X0,X1,X2)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44400,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((sP2385(X0,X1,X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X0))) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X0))) | ~sP2385(X0,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f44399])).
% 57.64/9.36 tff(f44399,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((sP2385(X2,X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))) | ~sP2385(X2,X1,X0)))),
% 57.64/9.36 inference(flattening,[],[f44398])).
% 57.64/9.36 tff(f44398,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((sP2385(X2,X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2)))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))) | ~sP2385(X2,X1,X0)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37730])).
% 57.64/9.36 tff(f37730,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (sP2385(X2,X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2385])])).
% 57.64/9.36 tff(f118835,plain,(
% 57.64/9.36 spl5880_5551),
% 57.64/9.36 inference(avatar_split_clause,[],[f62080,f118833])).
% 57.64/9.36 tff(f118833,plain,(
% 57.64/9.36 spl5880_5551 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~sP2384(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5551])])).
% 57.64/9.36 tff(f62080,plain,(
% 57.64/9.36 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~sP2384(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44396])).
% 57.64/9.36 tff(f44396,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((sP2384(X0,X1,X2) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5226(X0,X1,X2)),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5226(X0,X1,X2)),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),sK5226(X0,X1,X2)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X0))) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X0))) | ~sP2384(X0,X1,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5226])],[f44394,f44395])).
% 57.64/9.36 tff(f44395,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X3))) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5226(X0,X1,X2)),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5226(X0,X1,X2)),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),sK5226(X0,X1,X2)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44394,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((sP2384(X0,X1,X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X0))) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X2),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X2),X0))) | ~sP2384(X0,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f44393])).
% 57.64/9.36 tff(f44393,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((sP2384(X2,X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))) | ~sP2384(X2,X1,X0)))),
% 57.64/9.36 inference(flattening,[],[f44392])).
% 57.64/9.36 tff(f44392,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((sP2384(X2,X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2)))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))) | ~sP2384(X2,X1,X0)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37728])).
% 57.64/9.36 tff(f37728,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (sP2384(X2,X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2384])])).
% 57.64/9.36 tff(f118831,plain,(
% 57.64/9.36 spl5880_5550),
% 57.64/9.36 inference(avatar_split_clause,[],[f62054,f118829])).
% 57.64/9.36 tff(f118829,plain,(
% 57.64/9.36 spl5880_5550 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2382(X2,X1,X0) | sP2381(X2,X1,X0) | sK5216(X0,X1,X2) = X0 | ~sP2383(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5550])])).
% 57.64/9.36 tff(f62054,plain,(
% 57.64/9.36 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2382(X2,X1,X0) | sP2381(X2,X1,X0) | sK5216(X0,X1,X2) = X0 | ~sP2383(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44378])).
% 57.64/9.36 tff(f44378,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP2383(X0,X1,X2) | (~sP2382(X2,X1,X0) & ~sP2381(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))) & (sP2382(X2,X1,X0) | sP2381(X2,X1,X0) | (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),sK5216(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK5216(X0,X1,X2) = X0) | ~sP2383(X0,X1,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5216])],[f44376,f44377])).
% 57.64/9.36 tff(f44377,plain,(
% 57.64/9.36 ! [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)),sK5216(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK5216(X0,X1,X2) = X0))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44376,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP2383(X0,X1,X2) | (~sP2382(X2,X1,X0) & ~sP2381(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))) & (sP2382(X2,X1,X0) | sP2381(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) | ~sP2383(X0,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f44375])).
% 57.64/9.36 tff(f44375,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP2383(X0,X1,X2) | (~sP2382(X2,X1,X0) & ~sP2381(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))) & (sP2382(X2,X1,X0) | sP2381(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) | ~sP2383(X0,X1,X2)))),
% 57.64/9.36 inference(flattening,[],[f44374])).
% 57.64/9.36 tff(f44374,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP2383(X0,X1,X2) | (~sP2382(X2,X1,X0) & ~sP2381(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))) & ((sP2382(X2,X1,X0) | sP2381(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)) | ~sP2383(X0,X1,X2)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37726])).
% 57.64/9.36 tff(f37726,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (sP2383(X0,X1,X2) <=> (sP2382(X2,X1,X0) | sP2381(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)))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2383])])).
% 57.64/9.36 tff(f118827,plain,(
% 57.64/9.36 spl5880_5549),
% 57.64/9.36 inference(avatar_split_clause,[],[f62047,f118825])).
% 57.64/9.36 tff(f118825,plain,(
% 57.64/9.36 spl5880_5549 <=> ! [X2 : set(nat),X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~sP2380(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5549])])).
% 57.64/9.36 tff(f62047,plain,(
% 57.64/9.36 ( ! [X2 : set(nat),X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~sP2380(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44372])).
% 57.64/9.36 tff(f44372,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : ((sP2380(X0,X1,X2) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5215(X0,X1,X2)),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5215(X0,X1,X2)),X1)) & member(nat,sK5215(X0,X1,X2),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~member(nat,X0,X2)) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) | ~member(nat,X4,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) & member(nat,X0,X2)) | ~sP2380(X0,X1,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5215])],[f44370,f44371])).
% 57.64/9.36 tff(f44371,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & member(nat,X3,X2)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5215(X0,X1,X2)),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5215(X0,X1,X2)),X1)) & member(nat,sK5215(X0,X1,X2),X2)))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44370,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : ((sP2380(X0,X1,X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & member(nat,X3,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | ~member(nat,X0,X2)) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) | ~member(nat,X4,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) & member(nat,X0,X2)) | ~sP2380(X0,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f44369])).
% 57.64/9.36 tff(f44369,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : ((sP2380(X2,X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & member(nat,X3,X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ~member(nat,X2,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)) | ~sP2380(X2,X1,X0)))),
% 57.64/9.36 inference(flattening,[],[f44368])).
% 57.64/9.36 tff(f44368,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : ((sP2380(X2,X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & member(nat,X3,X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ~member(nat,X2,X0))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)) | ~sP2380(X2,X1,X0)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37722])).
% 57.64/9.36 tff(f37722,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : (sP2380(X2,X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2380])])).
% 57.64/9.36 tff(f118823,plain,(
% 57.64/9.36 spl5880_5548),
% 57.64/9.36 inference(avatar_split_clause,[],[f62039,f118821])).
% 57.64/9.36 tff(f118821,plain,(
% 57.64/9.36 spl5880_5548 <=> ! [X2 : set(nat),X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~sP2379(X0,X1,X2))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5548])])).
% 57.64/9.36 tff(f62039,plain,(
% 57.64/9.36 ( ! [X2 : set(nat),X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~sP2379(X0,X1,X2)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44366])).
% 57.64/9.36 tff(f44366,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : ((sP2379(X0,X1,X2) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK5214(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK5214(X0,X1,X2))) & member(nat,sK5214(X0,X1,X2),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~member(nat,X0,X2)) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) | ~member(nat,X4,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) & member(nat,X0,X2)) | ~sP2379(X0,X1,X2)))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5214])],[f44364,f44365])).
% 57.64/9.36 tff(f44365,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & member(nat,X3,X2)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK5214(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK5214(X0,X1,X2))) & member(nat,sK5214(X0,X1,X2),X2)))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44364,plain,(
% 57.64/9.36 ! [X0 : nat,X1 : nat,X2 : set(nat)] : ((sP2379(X0,X1,X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & member(nat,X3,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~member(nat,X0,X2)) & ((! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) | ~member(nat,X4,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) & member(nat,X0,X2)) | ~sP2379(X0,X1,X2)))),
% 57.64/9.36 inference(rectify,[],[f44363])).
% 57.64/9.36 tff(f44363,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : ((sP2379(X2,X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & member(nat,X3,X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) | ~member(nat,X2,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)) | ~sP2379(X2,X1,X0)))),
% 57.64/9.36 inference(flattening,[],[f44362])).
% 57.64/9.36 tff(f44362,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : ((sP2379(X2,X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & member(nat,X3,X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) | ~member(nat,X2,X0))) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)) | ~sP2379(X2,X1,X0)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37720])).
% 57.64/9.36 tff(f37720,plain,(
% 57.64/9.36 ! [X2 : nat,X1 : nat,X0 : set(nat)] : (sP2379(X2,X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2379])])).
% 57.64/9.36 tff(f118819,plain,(
% 57.64/9.36 spl5880_5547),
% 57.64/9.36 inference(avatar_split_clause,[],[f61717,f118817])).
% 57.64/9.36 tff(f118817,plain,(
% 57.64/9.36 spl5880_5547 <=> ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5157(X0)),sK5158(X0))) | ~sP2372(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5547])])).
% 57.64/9.36 tff(f61717,plain,(
% 57.64/9.36 ( ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5157(X0)),sK5158(X0))) | ~sP2372(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44243])).
% 57.64/9.36 tff(f44243,plain,(
% 57.64/9.36 ! [X0 : fun(nat,fun(nat,$o))] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5157(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5157(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5157(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5156(X0)),sK5157(X0)))) | ~sP2372(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5156,sK5157,sK5158])],[f44241,f44242])).
% 57.64/9.36 tff(f44242,plain,(
% 57.64/9.36 ! [X0 : fun(nat,fun(nat,$o))] : (? [X1 : nat,X2 : nat,X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,X1),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,X1),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2))) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5157(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5157(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5157(X0)),sK5158(X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5156(X0)),sK5157(X0)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44241,plain,(
% 57.64/9.36 ! [X0 : fun(nat,fun(nat,$o))] : (? [X1 : nat,X2 : nat,X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,X1),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,X1),X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2))) | ~sP2372(X0))),
% 57.64/9.36 inference(rectify,[],[f44240])).
% 57.64/9.36 tff(f44240,plain,(
% 57.64/9.36 ! [X2 : fun(nat,fun(nat,$o))] : (? [X4 : nat,X5 : nat,X6 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X2,X4),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X2,X5),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X2,X4),X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) | ~sP2372(X2))),
% 57.64/9.36 inference(nnf_transformation,[],[f37709])).
% 57.64/9.36 tff(f37709,plain,(
% 57.64/9.36 ! [X2 : fun(nat,fun(nat,$o))] : (? [X4 : nat,X5 : nat,X6 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X2,X4),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X2,X5),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),X2,X4),X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) | ~sP2372(X2))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2372])])).
% 57.64/9.36 tff(f118815,plain,(
% 57.64/9.36 spl5880_5546),
% 57.64/9.36 inference(avatar_split_clause,[],[f61716,f118813])).
% 57.64/9.36 tff(f118813,plain,(
% 57.64/9.36 spl5880_5546 <=> ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5156(X0)),sK5157(X0))) | ~sP2372(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5546])])).
% 57.64/9.36 tff(f61716,plain,(
% 57.64/9.36 ( ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5156(X0)),sK5157(X0))) | ~sP2372(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44243])).
% 57.64/9.36 tff(f118811,plain,(
% 57.64/9.36 spl5880_5545),
% 57.64/9.36 inference(avatar_split_clause,[],[f61700,f118809])).
% 57.64/9.36 tff(f118809,plain,(
% 57.64/9.36 spl5880_5545 <=> ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5148(X0)),sK5149(X0))) | ~sP2370(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5545])])).
% 57.64/9.36 tff(f61700,plain,(
% 57.64/9.36 ( ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5148(X0)),sK5149(X0))) | ~sP2370(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44224])).
% 57.64/9.36 tff(f44224,plain,(
% 57.64/9.36 ! [X0 : fun(real,fun(real,$o))] : ((($true != aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5148(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5147(X0)),sK5148(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5148(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5148(X0)))) | ~sP2370(X0))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5147,sK5148,sK5149])],[f44222,f44223])).
% 57.64/9.36 tff(f44223,plain,(
% 57.64/9.36 ! [X0 : fun(real,fun(real,$o))] : (? [X1 : real,X2 : real,X3 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),X0,X1),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,X2),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,X1),X2))) => (($true != aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5148(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5147(X0)),sK5148(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5148(X0)),sK5149(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5148(X0)))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f44222,plain,(
% 57.64/9.36 ! [X0 : fun(real,fun(real,$o))] : (? [X1 : real,X2 : real,X3 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),X0,X1),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,X2),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),X0,X1),X2))) | ~sP2370(X0))),
% 57.64/9.36 inference(rectify,[],[f44221])).
% 57.64/9.36 tff(f44221,plain,(
% 57.64/9.36 ! [X2 : fun(real,fun(real,$o))] : (? [X3 : real,X4 : real,X5 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),X2,X3),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X4)) & ($true = aa(real,$o,aa(real,fun(real,$o),X2,X4),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),X2,X3),X4))) | ~sP2370(X2))),
% 57.64/9.36 inference(nnf_transformation,[],[f37705])).
% 57.64/9.36 tff(f37705,plain,(
% 57.64/9.36 ! [X2 : fun(real,fun(real,$o))] : (? [X3 : real,X4 : real,X5 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),X2,X3),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X4)) & ($true = aa(real,$o,aa(real,fun(real,$o),X2,X4),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),X2,X3),X4))) | ~sP2370(X2))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2370])])).
% 57.64/9.36 tff(f118807,plain,(
% 57.64/9.36 spl5880_5544),
% 57.64/9.36 inference(avatar_split_clause,[],[f61699,f118805])).
% 57.64/9.36 tff(f118805,plain,(
% 57.64/9.36 spl5880_5544 <=> ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5147(X0)),sK5148(X0))) | ~sP2370(X0))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5544])])).
% 57.64/9.36 tff(f61699,plain,(
% 57.64/9.36 ( ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5147(X0)),sK5148(X0))) | ~sP2370(X0)) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44224])).
% 57.64/9.36 tff(f118803,plain,(
% 57.64/9.36 spl5880_5543 | ~spl5880_4534 | ~spl5880_5330),
% 57.64/9.36 inference(avatar_split_clause,[],[f116926,f114695,f105888,f118801])).
% 57.64/9.36 tff(f118801,plain,(
% 57.64/9.36 spl5880_5543 <=> ! [X0 : nat] : iG802(X0,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5543])])).
% 57.64/9.36 tff(f105888,plain,(
% 57.64/9.36 spl5880_4534 <=> iG802(iG271,$true)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_4534])])).
% 57.64/9.36 tff(f116926,plain,(
% 57.64/9.36 ( ! [X0 : nat] : (iG802(X0,$true)) ) | (~spl5880_4534 | ~spl5880_5330)),
% 57.64/9.36 inference(superposition,[],[f105890,f114696])).
% 57.64/9.36 tff(f105890,plain,(
% 57.64/9.36 iG802(iG271,$true) | ~spl5880_4534),
% 57.64/9.36 inference(avatar_component_clause,[],[f105888])).
% 57.64/9.36 tff(f118799,plain,(
% 57.64/9.36 spl5880_5542),
% 57.64/9.36 inference(avatar_split_clause,[],[f61530,f118797])).
% 57.64/9.36 tff(f118797,plain,(
% 57.64/9.36 spl5880_5542 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),$o)] : (($true = aa(list(X0),$o,X1,X2)) | ($true != aa(list(X0),$o,X1,sK5056(X0,X1))))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5542])])).
% 57.64/9.36 tff(f61530,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),$o)] : (($true = aa(list(X0),$o,X1,X2)) | ($true != aa(list(X0),$o,X1,sK5056(X0,X1)))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f44060])).
% 57.64/9.36 tff(f44060,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(list(X0),$o),X2 : list(X0)] : (($true = aa(list(X0),$o,X1,X2)) | (($true != aa(list(X0),$o,X1,sK5056(X0,X1))) & ! [X4 : list(X0)] : (($true = aa(list(X0),$o,X1,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),sK5056(X0,X1)))))))),
% 57.64/9.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5056])],[f35425,f44059])).
% 57.64/9.36 tff(f44059,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(list(X0),$o)] : (? [X3 : list(X0)] : (($true != aa(list(X0),$o,X1,X3)) & ! [X4 : list(X0)] : (($true = aa(list(X0),$o,X1,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))))) => (($true != aa(list(X0),$o,X1,sK5056(X0,X1))) & ! [X4 : list(X0)] : (($true = aa(list(X0),$o,X1,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),sK5056(X0,X1)))))))),
% 57.64/9.36 introduced(choice_axiom,[])).
% 57.64/9.36 tff(f35425,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(list(X0),$o),X2 : list(X0)] : (($true = aa(list(X0),$o,X1,X2)) | ? [X3 : list(X0)] : (($true != aa(list(X0),$o,X1,X3)) & ! [X4 : list(X0)] : (($true = aa(list(X0),$o,X1,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))))))),
% 57.64/9.36 inference(ennf_transformation,[],[f18057])).
% 57.64/9.36 tff(f18057,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(list(X0),$o),X2 : list(X0)] : (! [X3 : list(X0)] : (! [X4 : list(X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))) => ($true = aa(list(X0),$o,X1,X4))) => ($true = aa(list(X0),$o,X1,X3))) => ($true = aa(list(X0),$o,X1,X2)))),
% 57.64/9.36 inference(fool_elimination,[],[f18056])).
% 57.64/9.36 tff(f18056,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : fun(list(X0),$o),X2 : list(X0)] : (! [X3 : list(X0)] : (! [X4 : list(X0)] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3)) => aa(list(X0),$o,X1,X4)) => aa(list(X0),$o,X1,X3)) => aa(list(X0),$o,X1,X2))),
% 57.64/9.36 inference(rectify,[],[f744])).
% 57.64/9.36 tff(f744,axiom,(
% 57.64/9.36 ! [X0 : $tType,X26 : fun(list(X0),$o),X64 : list(X0)] : (! [X126 : list(X0)] : (! [X128 : list(X0)] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X128)),aa(list(X0),nat,size_size(list(X0)),X126)) => aa(list(X0),$o,X26,X128)) => aa(list(X0),$o,X26,X126)) => aa(list(X0),$o,X26,X64))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_743_length__induct)).
% 57.64/9.36 tff(f118795,plain,(
% 57.64/9.36 spl5880_5541),
% 57.64/9.36 inference(avatar_split_clause,[],[f61468,f118793])).
% 57.64/9.36 tff(f118793,plain,(
% 57.64/9.36 spl5880_5541 <=> ! [X0 : $tType,X2 : option(X0),X1 : option(X0)] : (X1 = X2 | sP2352(X0,X2,X1) | none(X0) = X2 | none(X0) = X1)),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5541])])).
% 57.64/9.36 tff(f61468,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : option(X0),X1 : option(X0)] : (X1 = X2 | sP2352(X0,X2,X1) | none(X0) = X2 | none(X0) = X1) )),
% 57.64/9.36 inference(cnf_transformation,[],[f43987])).
% 57.64/9.36 tff(f43987,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : option(X0),X2 : option(X0)] : (X1 = X2 | sP2352(X0,X2,X1) | ((none(X0) != X2 | none(X0) != X1) & (none(X0) = X2 | none(X0) = X1)))),
% 57.64/9.36 inference(nnf_transformation,[],[f37677])).
% 57.64/9.36 tff(f37677,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : option(X0),X2 : option(X0)] : (X1 = X2 | sP2352(X0,X2,X1) | (none(X0) = X1 <~> none(X0) = X2))),
% 57.64/9.36 inference(definition_folding,[],[f35400,f37676])).
% 57.64/9.36 tff(f37676,plain,(
% 57.64/9.36 ! [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) | ~sP2352(X0,X2,X1))),
% 57.64/9.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2352])])).
% 57.64/9.36 tff(f35400,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : option(X0),X2 : option(X0)] : (X1 = X2 | (aa(option(X0),X0,the2(X0),X1) != aa(option(X0),X0,the2(X0),X2) & none(X0) != X2 & none(X0) != X1) | (none(X0) = X1 <~> none(X0) = X2))),
% 57.64/9.36 inference(flattening,[],[f35399])).
% 57.64/9.36 tff(f35399,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : option(X0),X2 : option(X0)] : ((X1 = X2 | ((aa(option(X0),X0,the2(X0),X1) != aa(option(X0),X0,the2(X0),X2) & none(X0) != X2) & none(X0) != X1)) | (none(X0) = X1 <~> none(X0) = X2))),
% 57.64/9.36 inference(ennf_transformation,[],[f26637])).
% 57.64/9.36 tff(f26637,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : option(X0),X2 : option(X0)] : ((none(X0) = X1 <=> none(X0) = X2) => ((none(X0) != X1 => (none(X0) != X2 => aa(option(X0),X0,the2(X0),X1) = aa(option(X0),X0,the2(X0),X2))) => X1 = X2))),
% 57.64/9.36 inference(rectify,[],[f645])).
% 57.64/9.36 tff(f645,axiom,(
% 57.64/9.36 ! [X0 : $tType,X97 : option(X0),X108 : option(X0)] : ((none(X0) = X97 <=> none(X0) = X108) => ((none(X0) != X97 => (none(X0) != X108 => aa(option(X0),X0,the2(X0),X97) = aa(option(X0),X0,the2(X0),X108))) => X97 = X108))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_644_option_Oexpand)).
% 57.64/9.36 tff(f118791,plain,(
% 57.64/9.36 spl5880_5540),
% 57.64/9.36 inference(avatar_split_clause,[],[f61135,f118789])).
% 57.64/9.36 tff(f118789,plain,(
% 57.64/9.36 spl5880_5540 <=> ! [X0 : $tType,X2 : list(X0),X1 : X0] : (remove1(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5540])])).
% 57.64/9.36 tff(f61135,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (remove1(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f35256])).
% 57.64/9.36 tff(f35256,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (remove1(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)))),
% 57.64/9.36 inference(ennf_transformation,[],[f26578])).
% 57.64/9.36 tff(f26578,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => remove1(X0,X1,X2) = X2)),
% 57.64/9.36 inference(rectify,[],[f5667])).
% 57.64/9.36 tff(f5667,axiom,(
% 57.64/9.36 ! [X0 : $tType,X9 : X0,X64 : list(X0)] : (~member(X0,X9,aa(list(X0),set(X0),set2(X0),X64)) => remove1(X0,X9,X64) = X64)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5666_remove1__idem)).
% 57.64/9.36 tff(f118787,plain,(
% 57.64/9.36 spl5880_5539),
% 57.64/9.36 inference(avatar_split_clause,[],[f61134,f118785])).
% 57.64/9.36 tff(f118785,plain,(
% 57.64/9.36 spl5880_5539 <=> ! [X0 : $tType,X2 : list(X0),X1 : X0] : (removeAll(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5539])])).
% 57.64/9.36 tff(f61134,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (removeAll(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f35255])).
% 57.64/9.36 tff(f35255,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (removeAll(X0,X1,X2) = X2 | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)))),
% 57.64/9.36 inference(ennf_transformation,[],[f26577])).
% 57.64/9.36 tff(f26577,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => removeAll(X0,X1,X2) = X2)),
% 57.64/9.36 inference(rectify,[],[f5813])).
% 57.64/9.36 tff(f5813,axiom,(
% 57.64/9.36 ! [X0 : $tType,X9 : X0,X64 : list(X0)] : (~member(X0,X9,aa(list(X0),set(X0),set2(X0),X64)) => removeAll(X0,X9,X64) = X64)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5812_removeAll__id)).
% 57.64/9.36 tff(f118783,plain,(
% 57.64/9.36 spl5880_5538),
% 57.64/9.36 inference(avatar_split_clause,[],[f59995,f118781])).
% 57.64/9.36 tff(f118781,plain,(
% 57.64/9.36 spl5880_5538 <=> ! [X0 : $tType,X1 : set(X0)] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X1))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5538])])).
% 57.64/9.36 tff(f59995,plain,(
% 57.64/9.36 ( ! [X0 : $tType,X1 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X1))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f17000])).
% 57.64/9.36 tff(f17000,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0)] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X1))),
% 57.64/9.36 inference(fool_elimination,[],[f16999])).
% 57.64/9.36 tff(f16999,plain,(
% 57.64/9.36 ! [X0 : $tType,X1 : set(X0)] : aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X1)),
% 57.64/9.36 inference(rectify,[],[f1373])).
% 57.64/9.36 tff(f1373,axiom,(
% 57.64/9.36 ! [X0 : $tType,X27 : set(X0)] : aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X27),X27)),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1372_subset__refl)).
% 57.64/9.36 tff(f118778,plain,(
% 57.64/9.36 spl5880_5537),
% 57.64/9.36 inference(avatar_split_clause,[],[f59994,f118776])).
% 57.64/9.36 tff(f118776,plain,(
% 57.64/9.36 spl5880_5537 <=> ! [X0 : real,X1 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),powr(real,X0,X1)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5537])])).
% 57.64/9.36 tff(f59994,plain,(
% 57.64/9.36 ( ! [X0 : real,X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),powr(real,X0,X1)))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f16998])).
% 57.64/9.36 tff(f16998,plain,(
% 57.64/9.36 ! [X0 : real,X1 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),powr(real,X0,X1)))),
% 57.64/9.36 inference(fool_elimination,[],[f16997])).
% 57.64/9.36 tff(f16997,plain,(
% 57.64/9.36 ! [X0 : real,X1 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),powr(real,X0,X1))),
% 57.64/9.36 inference(rectify,[],[f3541])).
% 57.64/9.36 tff(f3541,axiom,(
% 57.64/9.36 ! [X9 : real,X18 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),powr(real,X9,X18))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3540_powr__ge__pzero)).
% 57.64/9.36 tff(f118774,plain,(
% 57.64/9.36 spl5880_5536),
% 57.64/9.36 inference(avatar_split_clause,[],[f59993,f118772])).
% 57.64/9.36 tff(f118772,plain,(
% 57.64/9.36 spl5880_5536 <=> ! [X0 : int,X1 : int] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_gcd(int,X0,X1)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5536])])).
% 57.64/9.36 tff(f59993,plain,(
% 57.64/9.36 ( ! [X0 : int,X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_gcd(int,X0,X1)))) )),
% 57.64/9.36 inference(cnf_transformation,[],[f16996])).
% 57.64/9.36 tff(f16996,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_gcd(int,X0,X1)))),
% 57.64/9.36 inference(fool_elimination,[],[f16995])).
% 57.64/9.36 tff(f16995,plain,(
% 57.64/9.36 ! [X0 : int,X1 : int] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_gcd(int,X0,X1))),
% 57.64/9.36 inference(rectify,[],[f5627])).
% 57.64/9.36 tff(f5627,axiom,(
% 57.64/9.36 ! [X9 : int,X18 : int] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_gcd(int,X9,X18))),
% 57.64/9.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5626_gcd__ge__0__int)).
% 57.64/9.36 tff(f118770,plain,(
% 57.64/9.36 spl5880_5535),
% 57.64/9.36 inference(avatar_split_clause,[],[f59800,f118768])).
% 57.64/9.36 tff(f118768,plain,(
% 57.64/9.36 spl5880_5535 <=> ! [X0 : int,X1 : int] : (sP2121(X0,X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)))),
% 57.64/9.36 introduced(avatar_definition,[new_symbols(naming,[spl5880_5535])])).
% 57.64/9.36 tff(f59800,plain,(
% 57.64/9.36 ( ! [X0 : int,X1 : int] : (sP2121(X0,X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42683])).
% 57.64/9.37 tff(f42683,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((sP2121(X0,X1) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) | zero_zero(int) != X0) & ~dvd_dvd(int,X0,X1))) & (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & zero_zero(int) = X0) | dvd_dvd(int,X0,X1) | ~sP2121(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f42682])).
% 57.64/9.37 tff(f42682,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((sP2121(X1,X0) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) != X1) & ~dvd_dvd(int,X1,X0))) & (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | dvd_dvd(int,X1,X0) | ~sP2121(X1,X0)))),
% 57.64/9.37 inference(flattening,[],[f42681])).
% 57.64/9.37 tff(f42681,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((sP2121(X1,X0) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) != X1) & ~dvd_dvd(int,X1,X0))) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | dvd_dvd(int,X1,X0)) | ~sP2121(X1,X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f37392])).
% 57.64/9.37 tff(f37392,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : (sP2121(X1,X0) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | dvd_dvd(int,X1,X0)))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2121])])).
% 57.64/9.37 tff(f118766,plain,(
% 57.64/9.37 spl5880_5534),
% 57.64/9.37 inference(avatar_split_clause,[],[f59533,f118764])).
% 57.64/9.37 tff(f118764,plain,(
% 57.64/9.37 spl5880_5534 <=> ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP2113(X1,X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5534])])).
% 57.64/9.37 tff(f59533,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP2113(X1,X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42479])).
% 57.64/9.37 tff(f42479,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP2113(X1,X0)) & (sP2113(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1)))),
% 57.64/9.37 inference(nnf_transformation,[],[f37377])).
% 57.64/9.37 tff(f37377,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) <=> sP2113(X1,X0))),
% 57.64/9.37 inference(definition_folding,[],[f26236,f37376])).
% 57.64/9.37 tff(f37376,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : (sP2113(X1,X0) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2113])])).
% 57.64/9.37 tff(f26236,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)))),
% 57.64/9.37 inference(rectify,[],[f2482])).
% 57.64/9.37 tff(f2482,axiom,(
% 57.64/9.37 ! [X15 : int,X8 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X15),X8) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X8 & aa(int,int,uminus_uminus(int),one_one(int)) = X15) | (one_one(int) = X8 & one_one(int) = X15)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2481_zmult__eq__1__iff)).
% 57.64/9.37 tff(f118762,plain,(
% 57.64/9.37 spl5880_5533),
% 57.64/9.37 inference(avatar_split_clause,[],[f59532,f118760])).
% 57.64/9.37 tff(f118760,plain,(
% 57.64/9.37 spl5880_5533 <=> ! [X0 : int,X1 : int] : (sP2113(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5533])])).
% 57.64/9.37 tff(f59532,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (sP2113(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42479])).
% 57.64/9.37 tff(f118758,plain,(
% 57.64/9.37 spl5880_5532 | ~spl5880_4523 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116925,f114695,f105843,f118756])).
% 57.64/9.37 tff(f118756,plain,(
% 57.64/9.37 spl5880_5532 <=> ! [X0 : nat] : iG810(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5532])])).
% 57.64/9.37 tff(f105843,plain,(
% 57.64/9.37 spl5880_4523 <=> iG810(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4523])])).
% 57.64/9.37 tff(f116925,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG810(X0,$true)) ) | (~spl5880_4523 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105845,f114696])).
% 57.64/9.37 tff(f105845,plain,(
% 57.64/9.37 iG810(iG271,$true) | ~spl5880_4523),
% 57.64/9.37 inference(avatar_component_clause,[],[f105843])).
% 57.64/9.37 tff(f118754,plain,(
% 57.64/9.37 spl5880_5531),
% 57.64/9.37 inference(avatar_split_clause,[],[f59518,f118752])).
% 57.64/9.37 tff(f118752,plain,(
% 57.64/9.37 spl5880_5531 <=> ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5531])])).
% 57.64/9.37 tff(f59518,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42469])).
% 57.64/9.37 tff(f42469,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : ((bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),X1) | nil(X0) != X1) & (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1)))),
% 57.64/9.37 inference(nnf_transformation,[],[f26232])).
% 57.64/9.37 tff(f26232,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),X1) <=> nil(X0) = X1)),
% 57.64/9.37 inference(rectify,[],[f6763])).
% 57.64/9.37 tff(f6763,axiom,(
% 57.64/9.37 ! [X0 : $tType,X64 : list(X0)] : (aa(list(X0),set(X0),set2(X0),X64) = bot_bot(set(X0)) <=> nil(X0) = X64)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6762_set__empty2)).
% 57.64/9.37 tff(f118750,plain,(
% 57.64/9.37 spl5880_5530),
% 57.64/9.37 inference(avatar_split_clause,[],[f59268,f118748])).
% 57.64/9.37 tff(f118748,plain,(
% 57.64/9.37 spl5880_5530 <=> ! [X0 : $tType,X1 : list(X0)] : (member(X0,sK4130(X0,X1),aa(list(X0),set(X0),set2(X0),sK4129(X0,X1))) | distinct(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5530])])).
% 57.64/9.37 tff(f59268,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (member(X0,sK4130(X0,X1),aa(list(X0),set(X0),set2(X0),sK4129(X0,X1))) | distinct(X0,X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42283])).
% 57.64/9.37 tff(f42283,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),cons(X0,X3),X4)) != X1 | ~distinct(X0,X2) | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X2)))) & ((append(X0,sK4129(X0,X1),aa(list(X0),list(X0),cons(X0,sK4130(X0,X1)),sK4131(X0,X1))) = X1 & distinct(X0,sK4129(X0,X1)) & member(X0,sK4130(X0,X1),aa(list(X0),set(X0),set2(X0),sK4129(X0,X1)))) | distinct(X0,X1)))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4129,sK4130,sK4131])],[f42281,f42282])).
% 57.64/9.37 tff(f42282,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (? [X5 : list(X0),X6 : X0,X7 : list(X0)] : (append(X0,X5,aa(list(X0),list(X0),cons(X0,X6),X7)) = X1 & distinct(X0,X5) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))) => (append(X0,sK4129(X0,X1),aa(list(X0),list(X0),cons(X0,sK4130(X0,X1)),sK4131(X0,X1))) = X1 & distinct(X0,sK4129(X0,X1)) & member(X0,sK4130(X0,X1),aa(list(X0),set(X0),set2(X0),sK4129(X0,X1)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f42281,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),cons(X0,X3),X4)) != X1 | ~distinct(X0,X2) | ~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),cons(X0,X6),X7)) = X1 & distinct(X0,X5) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))) | distinct(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f42280])).
% 57.64/9.37 tff(f42280,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),cons(X0,X3),X4)) != X1 | ~distinct(X0,X2) | ~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),cons(X0,X3),X4)) = X1 & distinct(X0,X2) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))) | distinct(X0,X1)))),
% 57.64/9.37 inference(nnf_transformation,[],[f26198])).
% 57.64/9.37 tff(f26198,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,X1) <=> ? [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),cons(X0,X3),X4)) = X1 & distinct(X0,X2) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))))),
% 57.64/9.37 inference(rectify,[],[f6851])).
% 57.64/9.37 tff(f6851,axiom,(
% 57.64/9.37 ! [X0 : $tType,X389 : list(X0)] : (~distinct(X0,X389) <=> ? [X129 : list(X0),X102 : X0,X375 : list(X0)] : (append(X0,X129,aa(list(X0),list(X0),cons(X0,X102),X375)) = X389 & distinct(X0,X129) & member(X0,X102,aa(list(X0),set(X0),set2(X0),X129))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6850_not__distinct__conv__prefix)).
% 57.64/9.37 tff(f118746,plain,(
% 57.64/9.37 spl5880_5529),
% 57.64/9.37 inference(avatar_split_clause,[],[f58839,f118744])).
% 57.64/9.37 tff(f118744,plain,(
% 57.64/9.37 spl5880_5529 <=> ! [X0 : fun(real,$o)] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK4068(X0)),sK4069(X0))) | ~sP2092(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5529])])).
% 57.64/9.37 tff(f58839,plain,(
% 57.64/9.37 ( ! [X0 : fun(real,$o)] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK4068(X0)),sK4069(X0))) | ~sP2092(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f42157])).
% 57.64/9.37 tff(f42157,plain,(
% 57.64/9.37 ! [X0 : fun(real,$o)] : ((($true != aa(real,$o,X0,sK4069(X0))) & ($true = aa(real,$o,X0,sK4068(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK4068(X0)),sK4069(X0)))) | ~sP2092(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4068,sK4069])],[f42155,f42156])).
% 57.64/9.37 tff(f42156,plain,(
% 57.64/9.37 ! [X0 : fun(real,$o)] : (? [X1 : real,X2 : real] : (($true != aa(real,$o,X0,X2)) & ($true = aa(real,$o,X0,X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X2))) => (($true != aa(real,$o,X0,sK4069(X0))) & ($true = aa(real,$o,X0,sK4068(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK4068(X0)),sK4069(X0)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f42155,plain,(
% 57.64/9.37 ! [X0 : fun(real,$o)] : (? [X1 : real,X2 : real] : (($true != aa(real,$o,X0,X2)) & ($true = aa(real,$o,X0,X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X2))) | ~sP2092(X0))),
% 57.64/9.37 inference(rectify,[],[f42154])).
% 57.64/9.37 tff(f42154,plain,(
% 57.64/9.37 ! [X0 : fun(real,$o)] : (? [X2 : real,X3 : real] : (($true != aa(real,$o,X0,X3)) & ($true = aa(real,$o,X0,X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X3))) | ~sP2092(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37347])).
% 57.64/9.37 tff(f37347,plain,(
% 57.64/9.37 ! [X0 : fun(real,$o)] : (? [X2 : real,X3 : real] : (($true != aa(real,$o,X0,X3)) & ($true = aa(real,$o,X0,X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X3))) | ~sP2092(X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2092])])).
% 57.64/9.37 tff(f118742,plain,(
% 57.64/9.37 spl5880_5528),
% 57.64/9.37 inference(avatar_split_clause,[],[f58574,f118740])).
% 57.64/9.37 tff(f118740,plain,(
% 57.64/9.37 spl5880_5528 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,$o),X0 : fun(X2,X1),X3 : fun(X1,X2)] : (($true = aa(X2,$o,X4,sK3910(X1,X2,X0,X3,X4))) | ~sP2076(X1,X2,X0,X3,X4))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5528])])).
% 57.64/9.37 tff(f58574,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X0 : fun(X2,X1),X4 : fun(X2,$o)] : (($true = aa(X2,$o,X4,sK3910(X1,X2,X0,X3,X4))) | ~sP2076(X1,X2,X0,X3,X4)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41924])).
% 57.64/9.37 tff(f41924,plain,(
% 57.64/9.37 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,$o)] : ((sK3910(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK3910(X1,X2,X0,X3,X4))) & ($true = aa(X2,$o,X4,sK3910(X1,X2,X0,X3,X4)))) | ~sP2076(X1,X2,X0,X3,X4))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3910])],[f41922,f41923])).
% 57.64/9.37 tff(f41923,plain,(
% 57.64/9.37 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X1,X2),X4 : fun(X2,$o)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & ($true = aa(X2,$o,X4,X5))) => (sK3910(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK3910(X1,X2,X0,X3,X4))) & ($true = aa(X2,$o,X4,sK3910(X1,X2,X0,X3,X4)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41922,plain,(
% 57.64/9.37 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,$o)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & ($true = aa(X2,$o,X4,X5))) | ~sP2076(X1,X2,X0,X3,X4))),
% 57.64/9.37 inference(rectify,[],[f41921])).
% 57.64/9.37 tff(f41921,plain,(
% 57.64/9.37 ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,$o)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & ($true = aa(X0,$o,X4,X9))) | ~sP2076(X1,X0,X5,X3,X4))),
% 57.64/9.37 inference(nnf_transformation,[],[f37325])).
% 57.64/9.37 tff(f37325,plain,(
% 57.64/9.37 ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,$o)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & ($true = aa(X0,$o,X4,X9))) | ~sP2076(X1,X0,X5,X3,X4))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2076])])).
% 57.64/9.37 tff(f118738,plain,(
% 57.64/9.37 spl5880_5527),
% 57.64/9.37 inference(avatar_split_clause,[],[f58564,f118736])).
% 57.64/9.37 tff(f118736,plain,(
% 57.64/9.37 spl5880_5527 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,$o),X0 : fun(X2,X1),X3 : fun(X1,X2)] : (($true = aa(X2,$o,X4,sK3905(X1,X2,X0,X3,X4))) | ~sP2074(X1,X2,X0,X3,X4))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5527])])).
% 57.64/9.37 tff(f58564,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X0 : fun(X2,X1),X4 : fun(X2,$o)] : (($true = aa(X2,$o,X4,sK3905(X1,X2,X0,X3,X4))) | ~sP2074(X1,X2,X0,X3,X4)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41912])).
% 57.64/9.37 tff(f41912,plain,(
% 57.64/9.37 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,$o)] : ((sK3905(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK3905(X1,X2,X0,X3,X4))) & ($true = aa(X2,$o,X4,sK3905(X1,X2,X0,X3,X4)))) | ~sP2074(X1,X2,X0,X3,X4))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3905])],[f41910,f41911])).
% 57.64/9.37 tff(f41911,plain,(
% 57.64/9.37 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X1,X2),X4 : fun(X2,$o)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & ($true = aa(X2,$o,X4,X5))) => (sK3905(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK3905(X1,X2,X0,X3,X4))) & ($true = aa(X2,$o,X4,sK3905(X1,X2,X0,X3,X4)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41910,plain,(
% 57.64/9.37 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,$o)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & ($true = aa(X2,$o,X4,X5))) | ~sP2074(X1,X2,X0,X3,X4))),
% 57.64/9.37 inference(rectify,[],[f41909])).
% 57.64/9.37 tff(f41909,plain,(
% 57.64/9.37 ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,$o)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & ($true = aa(X0,$o,X4,X9))) | ~sP2074(X1,X0,X5,X3,X4))),
% 57.64/9.37 inference(nnf_transformation,[],[f37322])).
% 57.64/9.37 tff(f37322,plain,(
% 57.64/9.37 ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,$o)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & ($true = aa(X0,$o,X4,X9))) | ~sP2074(X1,X0,X5,X3,X4))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2074])])).
% 57.64/9.37 tff(f118734,plain,(
% 57.64/9.37 spl5880_5526),
% 57.64/9.37 inference(avatar_split_clause,[],[f58493,f118732])).
% 57.64/9.37 tff(f118732,plain,(
% 57.64/9.37 spl5880_5526 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0),X2 : X1] : (sP2070(X0,X1,X3,X4,X2,X5) | ~topolo1002775350975398744n_open(X1,X3) | ~member(X1,X2,X3) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5526])])).
% 57.64/9.37 tff(f58493,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0)] : (sP2070(X0,X1,X3,X4,X2,X5) | ~topolo1002775350975398744n_open(X1,X3) | ~member(X1,X2,X3) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f37316])).
% 57.64/9.37 tff(f37316,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0)] : (sP2070(X0,X1,X3,X4,X2,X5) | ~topolo1002775350975398744n_open(X1,X3) | ~member(X1,X2,X3)) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 57.64/9.37 inference(definition_folding,[],[f34116,f37315,f37314])).
% 57.64/9.37 tff(f37314,plain,(
% 57.64/9.37 ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : (sP2069(X1,X0,X5,X2,X4,X3) <=> (? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) & real_V3181309239436604168linear(X1,X0,X5)))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2069])])).
% 57.64/9.37 tff(f37315,plain,(
% 57.64/9.37 ! [X3 : set(X1),X4 : fun(X1,X0),X2 : X1,X5 : fun(X1,X0),X0 : $tType,X1 : $tType] : ((has_derivative(X1,X0,X4,X5,topolo174197925503356063within(X1,X2,X3)) <=> sP2069(X1,X0,X5,X2,X4,X3)) | ~sP2070(X0,X1,X3,X4,X2,X5))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2070])])).
% 57.64/9.37 tff(f34116,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0)] : ((has_derivative(X1,X0,X4,X5,topolo174197925503356063within(X1,X2,X3)) <=> (? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) & real_V3181309239436604168linear(X1,X0,X5))) | ~topolo1002775350975398744n_open(X1,X3) | ~member(X1,X2,X3)) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 57.64/9.37 inference(flattening,[],[f34115])).
% 57.64/9.37 tff(f34115,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0)] : (((has_derivative(X1,X0,X4,X5,topolo174197925503356063within(X1,X2,X3)) <=> (? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) & real_V3181309239436604168linear(X1,X0,X5))) | ~topolo1002775350975398744n_open(X1,X3)) | ~member(X1,X2,X3)) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 57.64/9.37 inference(ennf_transformation,[],[f26108])).
% 57.64/9.37 tff(f26108,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : X1,X3 : set(X1),X4 : fun(X1,X0),X5 : fun(X1,X0)] : (member(X1,X2,X3) => (topolo1002775350975398744n_open(X1,X3) => (has_derivative(X1,X0,X4,X5,topolo174197925503356063within(X1,X2,X3)) <=> (? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3) => aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)))) & real_V3181309239436604168linear(X1,X0,X5))))))),
% 57.64/9.37 inference(rectify,[],[f6354])).
% 57.64/9.37 tff(f6354,axiom,(
% 57.64/9.37 ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X9 : X0,X93 : set(X0),X30 : fun(X0,X1),X281 : fun(X0,X1)] : (member(X0,X9,X93) => (topolo1002775350975398744n_open(X0,X93) => (has_derivative(X0,X1,X30,X281,topolo174197925503356063within(X0,X9,X93)) <=> (? [X284 : fun(X0,X1)] : (filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),X284),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X345 : X0] : (member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X9),X345),X93) => aa(X0,X1,X30,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X9),X345)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X30,X9)),aa(X0,X1,X281,X345))),aa(X0,X1,X284,X345)))) & real_V3181309239436604168linear(X0,X1,X281))))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6353_has__derivative__at__within__iff__Ex)).
% 57.64/9.37 tff(f118730,plain,(
% 57.64/9.37 spl5880_5525),
% 57.64/9.37 inference(avatar_split_clause,[],[f58227,f118728])).
% 57.64/9.37 tff(f118728,plain,(
% 57.64/9.37 spl5880_5525 <=> ! [X0 : $tType,X1 : list(X0)] : (member(X0,hd(X0,X1),aa(list(X0),set(X0),set2(X0),X1)) | nil(X0) = X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5525])])).
% 57.64/9.37 tff(f58227,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (member(X0,hd(X0,X1),aa(list(X0),set(X0),set2(X0),X1)) | nil(X0) = X1) )),
% 57.64/9.37 inference(cnf_transformation,[],[f33836])).
% 57.64/9.37 tff(f33836,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (member(X0,hd(X0,X1),aa(list(X0),set(X0),set2(X0),X1)) | nil(X0) = X1)),
% 57.64/9.37 inference(ennf_transformation,[],[f25985])).
% 57.64/9.37 tff(f25985,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => member(X0,hd(X0,X1),aa(list(X0),set(X0),set2(X0),X1)))),
% 57.64/9.37 inference(rectify,[],[f7866])).
% 57.64/9.37 tff(f7866,axiom,(
% 57.64/9.37 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) != X11 => member(X0,hd(X0,X11),aa(list(X0),set(X0),set2(X0),X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7865_list_Oset__sel_I1_J)).
% 57.64/9.37 tff(f118726,plain,(
% 57.64/9.37 spl5880_5524),
% 57.64/9.37 inference(avatar_split_clause,[],[f57981,f118724])).
% 57.64/9.37 tff(f118724,plain,(
% 57.64/9.37 spl5880_5524 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1)) = X1 | ~sP2027(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5524])])).
% 57.64/9.37 tff(f57981,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1)) = X1 | ~sP2027(X0,X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41512])).
% 57.64/9.37 tff(f41512,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = case_option($o,product_prod(nat,nat),bG839(sK3636(X0,X1),sK3637(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3635(X0,X1)),sK3636(X0,X1)),sK3637(X0,X1)),lG837(sK3635(X0,X1))),lG838(sK3635(X0,X1)))),sK3634(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3636(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(sK3635(X0,X1))) & vEBT_VEBT_valid(sK3637(X0,X1),lG838(sK3635(X0,X1))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG837(sK3635(X0,X1))) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3636(X0,X1)))) & sK3635(X0,X1) = X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1))),X0))) & vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1)) = X1) | ~sP2027(X0,X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3634,sK3635,sK3636,sK3637])],[f41510,f41511])).
% 57.64/9.37 tff(f41511,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG839(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG837(X3)),lG838(X3))),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(X3)) & vEBT_VEBT_valid(X5,lG838(X3)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG837(X3)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X0 = X3 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,X3,X4,X5)),X0))) & vEBT_Node(X2,X3,X4,X5) = X1) => (($true = case_option($o,product_prod(nat,nat),bG839(sK3636(X0,X1),sK3637(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3635(X0,X1)),sK3636(X0,X1)),sK3637(X0,X1)),lG837(sK3635(X0,X1))),lG838(sK3635(X0,X1)))),sK3634(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3636(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(sK3635(X0,X1))) & vEBT_VEBT_valid(sK3637(X0,X1),lG838(sK3635(X0,X1))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG837(sK3635(X0,X1))) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3636(X0,X1)))) & sK3635(X0,X1) = X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1))),X0))) & vEBT_Node(sK3634(X0,X1),sK3635(X0,X1),sK3636(X0,X1),sK3637(X0,X1)) = X1))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41510,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG839(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG837(X3)),lG838(X3))),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(X3)) & vEBT_VEBT_valid(X5,lG838(X3)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG837(X3)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X0 = X3 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,X3,X4,X5)),X0))) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP2027(X0,X1))),
% 57.64/9.37 inference(rectify,[],[f41509])).
% 57.64/9.37 tff(f41509,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG839(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG837(X5)),lG838(X5))),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(X5)) & vEBT_VEBT_valid(X7,lG838(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG837(X5)) | ~member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) & X1 = X5 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X4,X5,X6,X7)),X1))) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2027(X1,X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37249])).
% 57.64/9.37 tff(f37249,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG839(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG837(X5)),lG838(X5))),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG838(X5)) & vEBT_VEBT_valid(X7,lG838(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG837(X5)) | ~member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) & X1 = X5 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X4,X5,X6,X7)),X1))) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2027(X1,X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2027])])).
% 57.64/9.37 tff(f118722,plain,(
% 57.64/9.37 spl5880_5523),
% 57.64/9.37 inference(avatar_split_clause,[],[f57973,f118720])).
% 57.64/9.37 tff(f118720,plain,(
% 57.64/9.37 spl5880_5523 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3628(X0,X1),sK3629(X0,X1),sK3630(X0,X1),sK3631(X0,X1)) = X1 | ~sP2026(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5523])])).
% 57.64/9.37 tff(f57973,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3628(X0,X1),sK3629(X0,X1),sK3630(X0,X1),sK3631(X0,X1)) = X1 | ~sP2026(X0,X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41506])).
% 57.64/9.37 tff(f41506,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = case_option($o,product_prod(nat,nat),bG832(sK3630(X0,X1),sK3631(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3629(X0,X1)),sK3630(X0,X1)),sK3631(X0,X1)),lG830(sK3629(X0,X1))),lG831(sK3629(X0,X1)))),sK3628(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3630(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(sK3629(X0,X1))) & vEBT_VEBT_valid(sK3631(X0,X1),lG831(sK3629(X0,X1))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG830(sK3629(X0,X1))) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3630(X0,X1)))) & sK3629(X0,X1) = X0 & vEBT_Node(sK3628(X0,X1),sK3629(X0,X1),sK3630(X0,X1),sK3631(X0,X1)) = X1) | ~sP2026(X0,X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3628,sK3629,sK3630,sK3631])],[f41504,f41505])).
% 57.64/9.37 tff(f41505,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG832(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG830(X3)),lG831(X3))),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(X3)) & vEBT_VEBT_valid(X5,lG831(X3)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG830(X3)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X0 = X3 & vEBT_Node(X2,X3,X4,X5) = X1) => (($true = case_option($o,product_prod(nat,nat),bG832(sK3630(X0,X1),sK3631(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3629(X0,X1)),sK3630(X0,X1)),sK3631(X0,X1)),lG830(sK3629(X0,X1))),lG831(sK3629(X0,X1)))),sK3628(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3630(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(sK3629(X0,X1))) & vEBT_VEBT_valid(sK3631(X0,X1),lG831(sK3629(X0,X1))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG830(sK3629(X0,X1))) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3630(X0,X1)))) & sK3629(X0,X1) = X0 & vEBT_Node(sK3628(X0,X1),sK3629(X0,X1),sK3630(X0,X1),sK3631(X0,X1)) = X1))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41504,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG832(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG830(X3)),lG831(X3))),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(X3)) & vEBT_VEBT_valid(X5,lG831(X3)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG830(X3)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X0 = X3 & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP2026(X0,X1))),
% 57.64/9.37 inference(rectify,[],[f41503])).
% 57.64/9.37 tff(f41503,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG830(X5)) | ~member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) & X1 = X5 & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2026(X1,X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37247])).
% 57.64/9.37 tff(f37247,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG830(X5)) | ~member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) & X1 = X5 & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2026(X1,X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2026])])).
% 57.64/9.37 tff(f118718,plain,(
% 57.64/9.37 spl5880_5522),
% 57.64/9.37 inference(avatar_split_clause,[],[f57916,f118716])).
% 57.64/9.37 tff(f118716,plain,(
% 57.64/9.37 spl5880_5522 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1)) = X1 | ~sP2018(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5522])])).
% 57.64/9.37 tff(f57916,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1)) = X1 | ~sP2018(X0,X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41435])).
% 57.64/9.37 tff(f41435,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (((($true != case_option($o,product_prod(nat,nat),bG799(sK3565(X0,X1),sK3566(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3564(X0,X1)),sK3565(X0,X1)),sK3566(X0,X1)),lG797(sK3564(X0,X1))),lG798(sK3564(X0,X1)))),sK3563(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3565(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(sK3564(X0,X1))) | ~vEBT_VEBT_valid(sK3566(X0,X1),lG798(sK3564(X0,X1))) | (~vEBT_VEBT_valid(sK3567(X0,X1),lG797(sK3564(X0,X1))) & member(vEBT_VEBT,sK3567(X0,X1),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3565(X0,X1)))) | sK3564(X0,X1) != X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1))),X0))) & vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1)) = X1) | ~sP2018(X0,X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3563,sK3564,sK3565,sK3566,sK3567])],[f41432,f41434,f41433])).
% 57.64/9.37 tff(f41433,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG799(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG797(X3)),lG798(X3))),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(X3)) | ~vEBT_VEBT_valid(X5,lG798(X3)) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG797(X3)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) | X0 != X3) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,X3,X4,X5)),X0))) & vEBT_Node(X2,X3,X4,X5) = X1) => ((($true != case_option($o,product_prod(nat,nat),bG799(sK3565(X0,X1),sK3566(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3564(X0,X1)),sK3565(X0,X1)),sK3566(X0,X1)),lG797(sK3564(X0,X1))),lG798(sK3564(X0,X1)))),sK3563(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3565(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(sK3564(X0,X1))) | ~vEBT_VEBT_valid(sK3566(X0,X1),lG798(sK3564(X0,X1))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG797(sK3564(X0,X1))) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3565(X0,X1)))) | sK3564(X0,X1) != X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1))),X0))) & vEBT_Node(sK3563(X0,X1),sK3564(X0,X1),sK3565(X0,X1),sK3566(X0,X1)) = X1))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41434,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG797(sK3564(X0,X1))) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3565(X0,X1)))) => (~vEBT_VEBT_valid(sK3567(X0,X1),lG797(sK3564(X0,X1))) & member(vEBT_VEBT,sK3567(X0,X1),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3565(X0,X1)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41432,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG799(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG797(X3)),lG798(X3))),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(X3)) | ~vEBT_VEBT_valid(X5,lG798(X3)) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG797(X3)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) | X0 != X3) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,X3,X4,X5)),X0))) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP2018(X0,X1))),
% 57.64/9.37 inference(rectify,[],[f41431])).
% 57.64/9.37 tff(f41431,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG799(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG797(X5)),lG798(X5))),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(X5)) | ~vEBT_VEBT_valid(X7,lG798(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG797(X5)) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) | X1 != X5) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X4,X5,X6,X7)),X1))) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2018(X1,X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37235])).
% 57.64/9.37 tff(f37235,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG799(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG797(X5)),lG798(X5))),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG798(X5)) | ~vEBT_VEBT_valid(X7,lG798(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG797(X5)) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) | X1 != X5) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X4,X5,X6,X7)),X1))) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2018(X1,X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2018])])).
% 57.64/9.37 tff(f118714,plain,(
% 57.64/9.37 spl5880_5521 | ~spl5880_4512 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116924,f114695,f105798,f118712])).
% 57.64/9.37 tff(f118712,plain,(
% 57.64/9.37 spl5880_5521 <=> ! [X0 : nat] : iG842(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5521])])).
% 57.64/9.37 tff(f105798,plain,(
% 57.64/9.37 spl5880_4512 <=> iG842(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4512])])).
% 57.64/9.37 tff(f116924,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG842(X0,$true)) ) | (~spl5880_4512 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105800,f114696])).
% 57.64/9.37 tff(f105800,plain,(
% 57.64/9.37 iG842(iG271,$true) | ~spl5880_4512),
% 57.64/9.37 inference(avatar_component_clause,[],[f105798])).
% 57.64/9.37 tff(f118710,plain,(
% 57.64/9.37 spl5880_5520),
% 57.64/9.37 inference(avatar_split_clause,[],[f57911,f118708])).
% 57.64/9.37 tff(f118708,plain,(
% 57.64/9.37 spl5880_5520 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3556(X0,X1),sK3557(X0,X1),sK3558(X0,X1),sK3559(X0,X1)) = X1 | ~sP2017(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5520])])).
% 57.64/9.37 tff(f57911,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK3556(X0,X1),sK3557(X0,X1),sK3558(X0,X1),sK3559(X0,X1)) = X1 | ~sP2017(X0,X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41428])).
% 57.64/9.37 tff(f41428,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (((($true != case_option($o,product_prod(nat,nat),bG792(sK3558(X0,X1),sK3559(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3557(X0,X1)),sK3558(X0,X1)),sK3559(X0,X1)),lG790(sK3557(X0,X1))),lG791(sK3557(X0,X1)))),sK3556(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3558(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG791(sK3557(X0,X1))) | ~vEBT_VEBT_valid(sK3559(X0,X1),lG791(sK3557(X0,X1))) | (~vEBT_VEBT_valid(sK3560(X0,X1),lG790(sK3557(X0,X1))) & member(vEBT_VEBT,sK3560(X0,X1),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3558(X0,X1)))) | sK3557(X0,X1) != X0) & vEBT_Node(sK3556(X0,X1),sK3557(X0,X1),sK3558(X0,X1),sK3559(X0,X1)) = X1) | ~sP2017(X0,X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3556,sK3557,sK3558,sK3559,sK3560])],[f41425,f41427,f41426])).
% 57.64/9.37 tff(f41426,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG790(X3)),lG791(X3))),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG791(X3)) | ~vEBT_VEBT_valid(X5,lG791(X3)) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG790(X3)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) | X0 != X3) & vEBT_Node(X2,X3,X4,X5) = X1) => ((($true != case_option($o,product_prod(nat,nat),bG792(sK3558(X0,X1),sK3559(X0,X1)),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),sK3557(X0,X1)),sK3558(X0,X1)),sK3559(X0,X1)),lG790(sK3557(X0,X1))),lG791(sK3557(X0,X1)))),sK3556(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3558(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG791(sK3557(X0,X1))) | ~vEBT_VEBT_valid(sK3559(X0,X1),lG791(sK3557(X0,X1))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG790(sK3557(X0,X1))) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3558(X0,X1)))) | sK3557(X0,X1) != X0) & vEBT_Node(sK3556(X0,X1),sK3557(X0,X1),sK3558(X0,X1),sK3559(X0,X1)) = X1))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41427,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG790(sK3557(X0,X1))) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3558(X0,X1)))) => (~vEBT_VEBT_valid(sK3560(X0,X1),lG790(sK3557(X0,X1))) & member(vEBT_VEBT,sK3560(X0,X1),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3558(X0,X1)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41425,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X4,X5),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X3),X4),X5),lG790(X3)),lG791(X3))),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG791(X3)) | ~vEBT_VEBT_valid(X5,lG791(X3)) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG790(X3)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) | X0 != X3) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP2017(X0,X1))),
% 57.64/9.37 inference(rectify,[],[f41424])).
% 57.64/9.37 tff(f41424,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG791(X5)) | ~vEBT_VEBT_valid(X7,lG791(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG790(X5)) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2017(X1,X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37233])).
% 57.64/9.37 tff(f37233,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) | ~vEBT_VEBT_valid(X7,lG791(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG790(X5)) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP2017(X1,X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2017])])).
% 57.64/9.37 tff(f118706,plain,(
% 57.64/9.37 spl5880_5519),
% 57.64/9.37 inference(avatar_split_clause,[],[f57907,f118704])).
% 57.64/9.37 tff(f118704,plain,(
% 57.64/9.37 spl5880_5519 <=> ! [X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X2 : set(X1)] : (inj_on(X1,X0,X3,X2) | member(X1,sK3555(X1,X2),X2) | sP2016(X0,X1,X3,X2) | ~order(X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5519])])).
% 57.64/9.37 tff(f57907,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | member(X1,sK3555(X1,X2),X2) | sP2016(X0,X1,X3,X2) | ~order(X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41423])).
% 57.64/9.37 tff(f41423,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK3555(X1,X2)),sK3554(X1,X2))) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK3554(X1,X2)),sK3555(X1,X2))) & member(X1,sK3555(X1,X2),X2) & member(X1,sK3554(X1,X2),X2)) | sP2016(X0,X1,X3,X2)) | ~order(X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3554,sK3555])],[f41421,f41422])).
% 57.64/9.37 tff(f41422,plain,(
% 57.64/9.37 ! [X1 : $tType,X2 : set(X1)] : (? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X5),X4)) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X5)) & member(X1,X5,X2) & member(X1,X4,X2)) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK3555(X1,X2)),sK3554(X1,X2))) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK3554(X1,X2)),sK3555(X1,X2))) & member(X1,sK3555(X1,X2),X2) & member(X1,sK3554(X1,X2),X2)))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f41421,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | ? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X5),X4)) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X5)) & member(X1,X5,X2) & member(X1,X4,X2)) | sP2016(X0,X1,X3,X2)) | ~order(X1))),
% 57.64/9.37 inference(rectify,[],[f37232])).
% 57.64/9.37 tff(f37232,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | ? [X6 : X1,X7 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X6)) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7)) & member(X1,X7,X2) & member(X1,X6,X2)) | sP2016(X0,X1,X3,X2)) | ~order(X1))),
% 57.64/9.37 inference(definition_folding,[],[f33694,f37231])).
% 57.64/9.37 tff(f37231,plain,(
% 57.64/9.37 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : set(X1)] : (? [X4 : X1,X5 : X1] : (aa(X1,X0,X3,X5) = aa(X1,X0,X3,X4) & member(X1,X5,X2) & member(X1,X4,X2) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5))) | ~sP2016(X0,X1,X3,X2))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2016])])).
% 57.64/9.37 tff(f33694,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | ? [X6 : X1,X7 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X6)) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7)) & member(X1,X7,X2) & member(X1,X6,X2)) | ? [X4 : X1,X5 : X1] : (aa(X1,X0,X3,X5) = aa(X1,X0,X3,X4) & member(X1,X5,X2) & member(X1,X4,X2) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)))) | ~order(X1))),
% 57.64/9.37 inference(flattening,[],[f33693])).
% 57.64/9.37 tff(f33693,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : ((inj_on(X1,X0,X3,X2) | ? [X6 : X1,X7 : X1] : (((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X6)) & ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7))) & member(X1,X7,X2)) & member(X1,X6,X2))) | ? [X4 : X1,X5 : X1] : (((aa(X1,X0,X3,X5) = aa(X1,X0,X3,X4) & member(X1,X5,X2)) & member(X1,X4,X2)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)))) | ~order(X1))),
% 57.64/9.37 inference(ennf_transformation,[],[f15296])).
% 57.64/9.37 tff(f15296,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (order(X1) => ! [X2 : set(X1),X3 : fun(X1,X0)] : (! [X4 : X1,X5 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) => (member(X1,X4,X2) => (member(X1,X5,X2) => aa(X1,X0,X3,X5) != aa(X1,X0,X3,X4)))) => (! [X6 : X1,X7 : X1] : (member(X1,X6,X2) => (member(X1,X7,X2) => (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X6)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7))))) => inj_on(X1,X0,X3,X2))))),
% 57.64/9.37 inference(fool_elimination,[],[f15295])).
% 57.64/9.37 tff(f15295,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (order(X1) => ! [X2 : set(X1),X3 : fun(X1,X0)] : (! [X4 : X1,X5 : X1] : (aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5) => (member(X1,X4,X2) => (member(X1,X5,X2) => aa(X1,X0,X3,X5) != aa(X1,X0,X3,X4)))) => (! [X6 : X1,X7 : X1] : (member(X1,X6,X2) => (member(X1,X7,X2) => (aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X6) | aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7)))) => inj_on(X1,X0,X3,X2))))),
% 57.64/9.37 inference(rectify,[],[f6959])).
% 57.64/9.37 tff(f6959,axiom,(
% 57.64/9.37 ! [X1 : $tType,X0 : $tType] : (order(X0) => ! [X27 : set(X0),X30 : fun(X0,X1)] : (! [X29 : X0,X52 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X29),X52) => (member(X0,X29,X27) => (member(X0,X52,X27) => aa(X0,X1,X30,X29) != aa(X0,X1,X30,X52)))) => (! [X29 : X0,X52 : X0] : (member(X0,X29,X27) => (member(X0,X52,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X52),X29) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X29),X52)))) => inj_on(X0,X1,X30,X27))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6958_linorder__inj__onI)).
% 57.64/9.37 tff(f118702,plain,(
% 57.64/9.37 spl5880_5518),
% 57.64/9.37 inference(avatar_split_clause,[],[f57906,f118700])).
% 57.64/9.37 tff(f118700,plain,(
% 57.64/9.37 spl5880_5518 <=> ! [X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X2 : set(X1)] : (inj_on(X1,X0,X3,X2) | member(X1,sK3554(X1,X2),X2) | sP2016(X0,X1,X3,X2) | ~order(X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5518])])).
% 57.64/9.37 tff(f57906,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : fun(X1,X0)] : (inj_on(X1,X0,X3,X2) | member(X1,sK3554(X1,X2),X2) | sP2016(X0,X1,X3,X2) | ~order(X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41423])).
% 57.64/9.37 tff(f118698,plain,(
% 57.64/9.37 spl5880_5517),
% 57.64/9.37 inference(avatar_split_clause,[],[f57508,f118696])).
% 57.64/9.37 tff(f118696,plain,(
% 57.64/9.37 spl5880_5517 <=> ! [X1 : $tType,X0 : $tType,X3 : fun(X0,X1),X2 : set(X0)] : (sP2001(X1,X0,X3,X2) | member(X0,sK3443(X0,X1,X2,X3),X2) | ~finite_finite(X0,X2) | ~ordere6911136660526730532id_add(X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5517])])).
% 57.64/9.37 tff(f57508,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : $tType,X2 : set(X0),X3 : fun(X0,X1)] : (sP2001(X1,X0,X3,X2) | member(X0,sK3443(X0,X1,X2,X3),X2) | ~finite_finite(X0,X2) | ~ordere6911136660526730532id_add(X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f41146])).
% 57.64/9.37 tff(f41146,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : fun(X0,X1)] : (sP2001(X1,X0,X3,X2) | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,sK3443(X0,X1,X2,X3)))) & member(X0,sK3443(X0,X1,X2,X3),X2)) | ~finite_finite(X0,X2)) | ~ordere6911136660526730532id_add(X1))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3443])],[f37204,f41145])).
% 57.64/9.37 tff(f41145,plain,(
% 57.64/9.37 ! [X1 : $tType,X0 : $tType,X2 : set(X0),X3 : fun(X0,X1)] : (? [X4 : X0] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4))) & member(X0,X4,X2)) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,sK3443(X0,X1,X2,X3)))) & member(X0,sK3443(X0,X1,X2,X3),X2)))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f37204,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : fun(X0,X1)] : (sP2001(X1,X0,X3,X2) | ? [X4 : X0] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4))) & member(X0,X4,X2)) | ~finite_finite(X0,X2)) | ~ordere6911136660526730532id_add(X1))),
% 57.64/9.37 inference(definition_folding,[],[f33394,f37203])).
% 57.64/9.37 tff(f37203,plain,(
% 57.64/9.37 ! [X3 : fun(X0,X1),X1 : $tType,X0 : $tType,X2 : set(X0)] : ((zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X3),X2) <=> ! [X5 : X0] : (zero_zero(X1) = aa(X0,X1,X3,X5) | ~member(X0,X5,X2))) | ~sP2001(X1,X0,X3,X2))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2001])])).
% 57.64/9.37 tff(f33394,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : fun(X0,X1)] : ((zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X3),X2) <=> ! [X5 : X0] : (zero_zero(X1) = aa(X0,X1,X3,X5) | ~member(X0,X5,X2))) | ? [X4 : X0] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4))) & member(X0,X4,X2)) | ~finite_finite(X0,X2)) | ~ordere6911136660526730532id_add(X1))),
% 57.64/9.37 inference(flattening,[],[f33393])).
% 57.64/9.37 tff(f33393,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : fun(X0,X1)] : (((zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X3),X2) <=> ! [X5 : X0] : (zero_zero(X1) = aa(X0,X1,X3,X5) | ~member(X0,X5,X2))) | ? [X4 : X0] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4))) & member(X0,X4,X2))) | ~finite_finite(X0,X2)) | ~ordere6911136660526730532id_add(X1))),
% 57.64/9.37 inference(ennf_transformation,[],[f15044])).
% 57.64/9.37 tff(f15044,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (ordere6911136660526730532id_add(X1) => ! [X2 : set(X0),X3 : fun(X0,X1)] : (finite_finite(X0,X2) => (! [X4 : X0] : (member(X0,X4,X2) => ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4)))) => (zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X3),X2) <=> ! [X5 : X0] : (member(X0,X5,X2) => zero_zero(X1) = aa(X0,X1,X3,X5))))))),
% 57.64/9.37 inference(fool_elimination,[],[f15043])).
% 57.64/9.37 tff(f15043,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (ordere6911136660526730532id_add(X1) => ! [X2 : set(X0),X3 : fun(X0,X1)] : (finite_finite(X0,X2) => (! [X4 : X0] : (member(X0,X4,X2) => aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X3,X4))) => (zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X3),X2) <=> ! [X5 : X0] : (member(X0,X5,X2) => zero_zero(X1) = aa(X0,X1,X3,X5))))))),
% 57.64/9.37 inference(rectify,[],[f2853])).
% 57.64/9.37 tff(f2853,axiom,(
% 57.64/9.37 ! [X0 : $tType,X1 : $tType] : (ordere6911136660526730532id_add(X1) => ! [X27 : set(X0),X30 : fun(X0,X1)] : (finite_finite(X0,X27) => (! [X29 : X0] : (member(X0,X29,X27) => aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),aa(X0,X1,X30,X29))) => (zero_zero(X1) = aa(set(X0),X1,groups7311177749621191930dd_sum(X0,X1,X30),X27) <=> ! [X65 : X0] : (member(X0,X65,X27) => aa(X0,X1,X30,X65) = zero_zero(X1))))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2852_sum__nonneg__eq__0__iff)).
% 57.64/9.37 tff(f118694,plain,(
% 57.64/9.37 spl5880_5516),
% 57.64/9.37 inference(avatar_split_clause,[],[f57197,f118692])).
% 57.64/9.37 tff(f118692,plain,(
% 57.64/9.37 spl5880_5516 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK3385(X0,X1))) | ($true != aa(X0,$o,X1,fChoice(X0,X1))))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5516])])).
% 57.64/9.37 tff(f57197,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK3385(X0,X1))) | ($true != aa(X0,$o,X1,fChoice(X0,X1)))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40994])).
% 57.64/9.37 tff(f40994,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : ((($true = aa(X0,$o,X1,fChoice(X0,X1))) | ! [X2 : X0] : ($true != aa(X0,$o,X1,X2))) & (($true = aa(X0,$o,X1,sK3385(X0,X1))) | ($true != aa(X0,$o,X1,fChoice(X0,X1)))))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3385])],[f40992,f40993])).
% 57.64/9.37 tff(f40993,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X3 : X0] : ($true = aa(X0,$o,X1,X3)) => ($true = aa(X0,$o,X1,sK3385(X0,X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f40992,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : ((($true = aa(X0,$o,X1,fChoice(X0,X1))) | ! [X2 : X0] : ($true != aa(X0,$o,X1,X2))) & (? [X3 : X0] : ($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,X1,fChoice(X0,X1)))))),
% 57.64/9.37 inference(rectify,[],[f40991])).
% 57.64/9.37 tff(f40991,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : ((($true = aa(X0,$o,X1,fChoice(X0,X1))) | ! [X2 : X0] : ($true != aa(X0,$o,X1,X2))) & (? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) | ($true != aa(X0,$o,X1,fChoice(X0,X1)))))),
% 57.64/9.37 inference(nnf_transformation,[],[f14658])).
% 57.64/9.37 tff(f14658,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,fChoice(X0,X1))) <=> ? [X2 : X0] : ($true = aa(X0,$o,X1,X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f14657])).
% 57.64/9.37 tff(f14657,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (aa(X0,$o,X1,fChoice(X0,X1)) = ? [X2 : X0] : aa(X0,$o,X1,X2))),
% 57.64/9.37 inference(rectify,[],[f9822])).
% 57.64/9.37 tff(f9822,axiom,(
% 57.64/9.37 ! [X0 : $tType,X26 : fun(X0,$o)] : (aa(X0,$o,X26,fChoice(X0,X26)) = ? [X341 : X0] : aa(X0,$o,X26,X341))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fChoice_1_1_T)).
% 57.64/9.37 tff(f118690,plain,(
% 57.64/9.37 spl5880_5515),
% 57.64/9.37 inference(avatar_split_clause,[],[f56747,f118688])).
% 57.64/9.37 tff(f118688,plain,(
% 57.64/9.37 spl5880_5515 <=> ! [X0 : $tType,X1 : set(X0)] : aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_a(set(X0),fun(X0,$o),X1)) = X1),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5515])])).
% 57.64/9.37 tff(f56747,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_a(set(X0),fun(X0,$o),X1)) = X1) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25300])).
% 57.64/9.37 tff(f25300,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : set(X0)] : aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_a(set(X0),fun(X0,$o),X1)) = X1),
% 57.64/9.37 inference(rectify,[],[f46])).
% 57.64/9.37 tff(f46,axiom,(
% 57.64/9.37 ! [X0 : $tType,X27 : set(X0)] : aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_a(set(X0),fun(X0,$o),X27)) = X27),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_Collect__mem__eq)).
% 57.64/9.37 tff(f118686,plain,(
% 57.64/9.37 spl5880_5514),
% 57.64/9.37 inference(avatar_split_clause,[],[f56746,f118684])).
% 57.64/9.37 tff(f118684,plain,(
% 57.64/9.37 spl5880_5514 <=> ! [X0 : $tType,X1 : set(X0)] : ~member(option(X0),none(X0),aa(set(X0),set(option(X0)),image(X0,option(X0),some(X0)),X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5514])])).
% 57.64/9.37 tff(f56746,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (~member(option(X0),none(X0),aa(set(X0),set(option(X0)),image(X0,option(X0),some(X0)),X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25299])).
% 57.64/9.37 tff(f25299,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : set(X0)] : ~member(option(X0),none(X0),aa(set(X0),set(option(X0)),image(X0,option(X0),some(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f4915])).
% 57.64/9.37 tff(f4915,axiom,(
% 57.64/9.37 ! [X0 : $tType,X27 : set(X0)] : ~member(option(X0),none(X0),aa(set(X0),set(option(X0)),image(X0,option(X0),some(X0)),X27))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4914_None__notin__image__Some)).
% 57.64/9.37 tff(f118682,plain,(
% 57.64/9.37 spl5880_5513),
% 57.64/9.37 inference(avatar_split_clause,[],[f56656,f118680])).
% 57.64/9.37 tff(f118680,plain,(
% 57.64/9.37 spl5880_5513 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,suc,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5513])])).
% 57.64/9.37 tff(f56656,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,suc,X0)))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f14497])).
% 57.64/9.37 tff(f14497,plain,(
% 57.64/9.37 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,suc,X0)))),
% 57.64/9.37 inference(fool_elimination,[],[f14496])).
% 57.64/9.37 tff(f14496,plain,(
% 57.64/9.37 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,suc,X0))),
% 57.64/9.37 inference(rectify,[],[f85])).
% 57.64/9.37 tff(f85,axiom,(
% 57.64/9.37 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),aa(nat,nat,suc,X8))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_lessI)).
% 57.64/9.37 tff(f118678,plain,(
% 57.64/9.37 spl5880_5512),
% 57.64/9.37 inference(avatar_split_clause,[],[f56655,f118676])).
% 57.64/9.37 tff(f118676,plain,(
% 57.64/9.37 spl5880_5512 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sinh(real,X0)),cosh(real,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5512])])).
% 57.64/9.37 tff(f56655,plain,(
% 57.64/9.37 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sinh(real,X0)),cosh(real,X0)))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f14495])).
% 57.64/9.37 tff(f14495,plain,(
% 57.64/9.37 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sinh(real,X0)),cosh(real,X0)))),
% 57.64/9.37 inference(fool_elimination,[],[f14494])).
% 57.64/9.37 tff(f14494,plain,(
% 57.64/9.37 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sinh(real,X0)),cosh(real,X0))),
% 57.64/9.37 inference(rectify,[],[f4463])).
% 57.64/9.37 tff(f4463,axiom,(
% 57.64/9.37 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sinh(real,X9)),cosh(real,X9))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4462_sinh__le__cosh__real)).
% 57.64/9.37 tff(f118674,plain,(
% 57.64/9.37 spl5880_5511),
% 57.64/9.37 inference(avatar_split_clause,[],[f56654,f118672])).
% 57.64/9.37 tff(f118672,plain,(
% 57.64/9.37 spl5880_5511 <=> ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit0,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5511])])).
% 57.64/9.37 tff(f56654,plain,(
% 57.64/9.37 ( ! [X0 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit0,X0)))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f14493])).
% 57.64/9.37 tff(f14493,plain,(
% 57.64/9.37 ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit0,X0)))),
% 57.64/9.37 inference(fool_elimination,[],[f14492])).
% 57.64/9.37 tff(f14492,plain,(
% 57.64/9.37 ! [X0 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit0,X0))),
% 57.64/9.37 inference(rectify,[],[f95])).
% 57.64/9.37 tff(f95,axiom,(
% 57.64/9.37 ! [X8 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit0,X8))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_semiring__norm_I76_J)).
% 57.64/9.37 tff(f118670,plain,(
% 57.64/9.37 spl5880_5510 | ~spl5880_4501 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116923,f114695,f105753,f118668])).
% 57.64/9.37 tff(f118668,plain,(
% 57.64/9.37 spl5880_5510 <=> ! [X0 : nat] : iG850(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5510])])).
% 57.64/9.37 tff(f105753,plain,(
% 57.64/9.37 spl5880_4501 <=> iG850(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4501])])).
% 57.64/9.37 tff(f116923,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG850(X0,$true)) ) | (~spl5880_4501 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105755,f114696])).
% 57.64/9.37 tff(f105755,plain,(
% 57.64/9.37 iG850(iG271,$true) | ~spl5880_4501),
% 57.64/9.37 inference(avatar_component_clause,[],[f105753])).
% 57.64/9.37 tff(f118666,plain,(
% 57.64/9.37 spl5880_5509),
% 57.64/9.37 inference(avatar_split_clause,[],[f56653,f118664])).
% 57.64/9.37 tff(f118664,plain,(
% 57.64/9.37 spl5880_5509 <=> ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5509])])).
% 57.64/9.37 tff(f56653,plain,(
% 57.64/9.37 ( ! [X0 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit1,X0)))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f14491])).
% 57.64/9.37 tff(f14491,plain,(
% 57.64/9.37 ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit1,X0)))),
% 57.64/9.37 inference(fool_elimination,[],[f14490])).
% 57.64/9.37 tff(f14490,plain,(
% 57.64/9.37 ! [X0 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit1,X0))),
% 57.64/9.37 inference(rectify,[],[f614])).
% 57.64/9.37 tff(f614,axiom,(
% 57.64/9.37 ! [X8 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less(num),one2),aa(num,num,bit1,X8))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_613_semiring__norm_I77_J)).
% 57.64/9.37 tff(f118662,plain,(
% 57.64/9.37 spl5880_5508),
% 57.64/9.37 inference(avatar_split_clause,[],[f56614,f118660])).
% 57.64/9.37 tff(f118660,plain,(
% 57.64/9.37 spl5880_5508 <=> ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5508])])).
% 57.64/9.37 tff(f56614,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25243])).
% 57.64/9.37 tff(f25243,plain,(
% 57.64/9.37 ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))),
% 57.64/9.37 inference(flattening,[],[f14437])).
% 57.64/9.37 tff(f14437,plain,(
% 57.64/9.37 ! [X0 : nat] : ~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))),
% 57.64/9.37 inference(fool_elimination,[],[f14436])).
% 57.64/9.37 tff(f14436,plain,(
% 57.64/9.37 ! [X0 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0)),
% 57.64/9.37 inference(rectify,[],[f224])).
% 57.64/9.37 tff(f224,axiom,(
% 57.64/9.37 ! [X8 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X8)),X8)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_Suc__n__not__le__n)).
% 57.64/9.37 tff(f118658,plain,(
% 57.64/9.37 spl5880_5507),
% 57.64/9.37 inference(avatar_split_clause,[],[f56612,f118656])).
% 57.64/9.37 tff(f118656,plain,(
% 57.64/9.37 spl5880_5507 <=> ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X0)),one2))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5507])])).
% 57.64/9.37 tff(f56612,plain,(
% 57.64/9.37 ( ! [X0 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X0)),one2))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25241])).
% 57.64/9.37 tff(f25241,plain,(
% 57.64/9.37 ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X0)),one2))),
% 57.64/9.37 inference(flattening,[],[f14433])).
% 57.64/9.37 tff(f14433,plain,(
% 57.64/9.37 ! [X0 : num] : ~($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X0)),one2))),
% 57.64/9.37 inference(fool_elimination,[],[f14432])).
% 57.64/9.37 tff(f14432,plain,(
% 57.64/9.37 ! [X0 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X0)),one2)),
% 57.64/9.37 inference(rectify,[],[f350])).
% 57.64/9.37 tff(f350,axiom,(
% 57.64/9.37 ! [X15 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit0,X15)),one2)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_semiring__norm_I69_J)).
% 57.64/9.37 tff(f118654,plain,(
% 57.64/9.37 spl5880_5506),
% 57.64/9.37 inference(avatar_split_clause,[],[f56611,f118652])).
% 57.64/9.37 tff(f118652,plain,(
% 57.64/9.37 spl5880_5506 <=> ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X0)),one2))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5506])])).
% 57.64/9.37 tff(f56611,plain,(
% 57.64/9.37 ( ! [X0 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X0)),one2))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25240])).
% 57.64/9.37 tff(f25240,plain,(
% 57.64/9.37 ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X0)),one2))),
% 57.64/9.37 inference(flattening,[],[f14431])).
% 57.64/9.37 tff(f14431,plain,(
% 57.64/9.37 ! [X0 : num] : ~($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X0)),one2))),
% 57.64/9.37 inference(fool_elimination,[],[f14430])).
% 57.64/9.37 tff(f14430,plain,(
% 57.64/9.37 ! [X0 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X0)),one2)),
% 57.64/9.37 inference(rectify,[],[f613])).
% 57.64/9.37 tff(f613,axiom,(
% 57.64/9.37 ! [X15 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),aa(num,num,bit1,X15)),one2)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_612_semiring__norm_I70_J)).
% 57.64/9.37 tff(f118650,plain,(
% 57.64/9.37 spl5880_5505),
% 57.64/9.37 inference(avatar_split_clause,[],[f55721,f118648])).
% 57.64/9.37 tff(f118648,plain,(
% 57.64/9.37 spl5880_5505 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : X1] : (filterlim(nat,X1,sK3034(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP1991(X1,X0,X2,X3))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5505])])).
% 57.64/9.37 tff(f55721,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,$o)] : (filterlim(nat,X1,sK3034(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP1991(X1,X0,X2,X3)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40477])).
% 57.64/9.37 tff(f40477,plain,(
% 57.64/9.37 ! [X0 : fun(X1,$o),X1 : $tType,X2 : X1,X3 : X1] : ((~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),sK3034(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK3034(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,sK3034(X1,X0,X2,X3)) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,sK3034(X1,X0,X2,X3),X5)),X2)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),aa(nat,X1,sK3034(X1,X0,X2,X3),X6)))) | ~sP1991(X1,X0,X2,X3))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3034])],[f40475,f40476])).
% 57.64/9.37 tff(f40476,plain,(
% 57.64/9.37 ! [X1 : $tType,X0 : fun(X1,$o),X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,X4) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X4,X5)),X2)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),aa(nat,X1,X4,X6)))) => (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),sK3034(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK3034(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,sK3034(X1,X0,X2,X3)) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,sK3034(X1,X0,X2,X3),X5)),X2)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),aa(nat,X1,sK3034(X1,X0,X2,X3),X6)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f40475,plain,(
% 57.64/9.37 ! [X0 : fun(X1,$o),X1 : $tType,X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,X4) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X4,X5)),X2)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),aa(nat,X1,X4,X6)))) | ~sP1991(X1,X0,X2,X3))),
% 57.64/9.37 inference(rectify,[],[f40474])).
% 57.64/9.37 tff(f40474,plain,(
% 57.64/9.37 ! [X3 : fun(X0,$o),X0 : $tType,X2 : X0,X1 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,$o),aTP_Lamp_xz(fun(X0,$o),fun(fun(nat,X0),fun(nat,$o)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) & order_mono(nat,X0,X4) & ! [X6 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP1991(X0,X3,X2,X1))),
% 57.64/9.37 inference(nnf_transformation,[],[f37186])).
% 57.64/9.37 tff(f37186,plain,(
% 57.64/9.37 ! [X3 : fun(X0,$o),X0 : $tType,X2 : X0,X1 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,$o),aTP_Lamp_xz(fun(X0,$o),fun(fun(nat,X0),fun(nat,$o)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) & order_mono(nat,X0,X4) & ! [X6 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP1991(X0,X3,X2,X1))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1991])])).
% 57.64/9.37 tff(f118646,plain,(
% 57.64/9.37 spl5880_5504),
% 57.64/9.37 inference(avatar_split_clause,[],[f55715,f118644])).
% 57.64/9.37 tff(f118644,plain,(
% 57.64/9.37 spl5880_5504 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : X1] : (filterlim(nat,X1,sK3033(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP1990(X1,X0,X2,X3))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5504])])).
% 57.64/9.37 tff(f55715,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,$o)] : (filterlim(nat,X1,sK3033(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP1990(X1,X0,X2,X3)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40473])).
% 57.64/9.37 tff(f40473,plain,(
% 57.64/9.37 ! [X0 : fun(X1,$o),X1 : $tType,X2 : X1,X3 : X1] : ((~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),sK3033(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK3033(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,sK3033(X1,X0,X2,X3)) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,sK3033(X1,X0,X2,X3),X5)),X3)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,sK3033(X1,X0,X2,X3),X6)))) | ~sP1990(X1,X0,X2,X3))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3033])],[f40471,f40472])).
% 57.64/9.37 tff(f40472,plain,(
% 57.64/9.37 ! [X1 : $tType,X0 : fun(X1,$o),X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X4) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X4,X5)),X3)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X4,X6)))) => (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),sK3033(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK3033(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,sK3033(X1,X0,X2,X3)) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,sK3033(X1,X0,X2,X3),X5)),X3)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,sK3033(X1,X0,X2,X3),X6)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f40471,plain,(
% 57.64/9.37 ! [X0 : fun(X1,$o),X1 : $tType,X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,$o),aTP_Lamp_xz(fun(X1,$o),fun(fun(nat,X1),fun(nat,$o)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X4) & ! [X5 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X4,X5)),X3)) & ! [X6 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X4,X6)))) | ~sP1990(X1,X0,X2,X3))),
% 57.64/9.37 inference(rectify,[],[f40470])).
% 57.64/9.37 tff(f40470,plain,(
% 57.64/9.37 ! [X3 : fun(X0,$o),X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,$o),aTP_Lamp_xz(fun(X0,$o),fun(fun(nat,X0),fun(nat,$o)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X1),at_top(nat)) & order_antimono(nat,X0,X4) & ! [X6 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP1990(X0,X3,X1,X2))),
% 57.64/9.37 inference(nnf_transformation,[],[f37184])).
% 57.64/9.37 tff(f37184,plain,(
% 57.64/9.37 ! [X3 : fun(X0,$o),X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,$o),aTP_Lamp_xz(fun(X0,$o),fun(fun(nat,X0),fun(nat,$o)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X1),at_top(nat)) & order_antimono(nat,X0,X4) & ! [X6 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP1990(X0,X3,X1,X2))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1990])])).
% 57.64/9.37 tff(f118642,plain,(
% 57.64/9.37 spl5880_5503),
% 57.64/9.37 inference(avatar_split_clause,[],[f55633,f118640])).
% 57.64/9.37 tff(f118640,plain,(
% 57.64/9.37 spl5880_5503 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : X0,X1 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) | ~sP1988(X0,X4,X3,X2,X1) | ~sP1989(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5503])])).
% 57.64/9.37 tff(f55633,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) | ~sP1988(X0,X4,X3,X2,X1) | ~sP1989(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40404])).
% 57.64/9.37 tff(f40404,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : ((set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) | ~sP1988(X0,X4,X3,X2,X1)) & (sP1988(X0,X4,X3,X2,X1) | set_or1337092689740270186AtMost(X0,X1,X2) != set_or1337092689740270186AtMost(X0,X3,X4))) | ~sP1989(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37182])).
% 57.64/9.37 tff(f37182,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) <=> sP1988(X0,X4,X3,X2,X1)) | ~sP1989(X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1989])])).
% 57.64/9.37 tff(f118638,plain,(
% 57.64/9.37 spl5880_5502),
% 57.64/9.37 inference(avatar_split_clause,[],[f55632,f118636])).
% 57.64/9.37 tff(f118636,plain,(
% 57.64/9.37 spl5880_5502 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : X0,X1 : X0] : (sP1988(X0,X4,X3,X2,X1) | set_or1337092689740270186AtMost(X0,X1,X2) != set_or1337092689740270186AtMost(X0,X3,X4) | ~sP1989(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5502])])).
% 57.64/9.37 tff(f55632,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (sP1988(X0,X4,X3,X2,X1) | set_or1337092689740270186AtMost(X0,X1,X2) != set_or1337092689740270186AtMost(X0,X3,X4) | ~sP1989(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40404])).
% 57.64/9.37 tff(f118634,plain,(
% 57.64/9.37 spl5880_5501),
% 57.64/9.37 inference(avatar_split_clause,[],[f55210,f118632])).
% 57.64/9.37 tff(f118632,plain,(
% 57.64/9.37 spl5880_5501 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : X0,X1 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) | ~sP1975(X0,X4,X2,X3,X1) | ~sP1976(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5501])])).
% 57.64/9.37 tff(f55210,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) | ~sP1975(X0,X4,X2,X3,X1) | ~sP1976(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40191])).
% 57.64/9.37 tff(f40191,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : ((set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) | ~sP1975(X0,X4,X2,X3,X1)) & (sP1975(X0,X4,X2,X3,X1) | set_or3652927894154168847AtMost(X0,X1,X2) != set_or3652927894154168847AtMost(X0,X3,X4))) | ~sP1976(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f37163])).
% 57.64/9.37 tff(f37163,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) <=> sP1975(X0,X4,X2,X3,X1)) | ~sP1976(X0))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1976])])).
% 57.64/9.37 tff(f118630,plain,(
% 57.64/9.37 spl5880_5500),
% 57.64/9.37 inference(avatar_split_clause,[],[f55209,f118628])).
% 57.64/9.37 tff(f118628,plain,(
% 57.64/9.37 spl5880_5500 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : X0,X1 : X0] : (sP1975(X0,X4,X2,X3,X1) | set_or3652927894154168847AtMost(X0,X1,X2) != set_or3652927894154168847AtMost(X0,X3,X4) | ~sP1976(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5500])])).
% 57.64/9.37 tff(f55209,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (sP1975(X0,X4,X2,X3,X1) | set_or3652927894154168847AtMost(X0,X1,X2) != set_or3652927894154168847AtMost(X0,X3,X4) | ~sP1976(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f40191])).
% 57.64/9.37 tff(f118626,plain,(
% 57.64/9.37 spl5880_5499 | ~spl5880_4490 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116922,f114695,f105708,f118624])).
% 57.64/9.37 tff(f118624,plain,(
% 57.64/9.37 spl5880_5499 <=> ! [X0 : nat] : iG933(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5499])])).
% 57.64/9.37 tff(f105708,plain,(
% 57.64/9.37 spl5880_4490 <=> iG933(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4490])])).
% 57.64/9.37 tff(f116922,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG933(X0,$true)) ) | (~spl5880_4490 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105710,f114696])).
% 57.64/9.37 tff(f105710,plain,(
% 57.64/9.37 iG933(iG271,$true) | ~spl5880_4490),
% 57.64/9.37 inference(avatar_component_clause,[],[f105708])).
% 57.64/9.37 tff(f118622,plain,(
% 57.64/9.37 spl5880_5498),
% 57.64/9.37 inference(avatar_split_clause,[],[f54893,f118620])).
% 57.64/9.37 tff(f118620,plain,(
% 57.64/9.37 spl5880_5498 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK2853(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5498])])).
% 57.64/9.37 tff(f54893,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK2853(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39979])).
% 57.64/9.37 tff(f39979,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : list(X0)] : (sK2853(X0,X1) = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,sK2853(X0,X1)) & sorted_wrt(X0,ord_less_eq(X0),sK2853(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK2853(X0,X1)) = X1) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2853])],[f31614,f39978])).
% 57.64/9.37 tff(f39978,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) => (! [X3 : list(X0)] : (sK2853(X0,X1) = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,sK2853(X0,X1)) & sorted_wrt(X0,ord_less_eq(X0),sK2853(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK2853(X0,X1)) = X1))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f31614,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(flattening,[],[f31613])).
% 57.64/9.37 tff(f31613,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | (~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1)) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24835])).
% 57.64/9.37 tff(f24835,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => ? [X2 : list(X0)] : (! [X3 : list(X0)] : ((distinct(X0,X3) & sorted_wrt(X0,ord_less_eq(X0),X3) & aa(list(X0),set(X0),set2(X0),X3) = X1) => X2 = X3) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1)))),
% 57.64/9.37 inference(rectify,[],[f8066])).
% 57.64/9.37 tff(f8066,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X27 : set(X0)] : (finite_finite(X0,X27) => ? [X29 : list(X0)] : (! [X49 : list(X0)] : ((distinct(X0,X49) & sorted_wrt(X0,ord_less_eq(X0),X49) & aa(list(X0),set(X0),set2(X0),X49) = X27) => X29 = X49) & distinct(X0,X29) & sorted_wrt(X0,ord_less_eq(X0),X29) & aa(list(X0),set(X0),set2(X0),X29) = X27)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8065_finite__sorted__distinct__unique)).
% 57.64/9.37 tff(f118618,plain,(
% 57.64/9.37 spl5880_5497),
% 57.64/9.37 inference(avatar_split_clause,[],[f54891,f118616])).
% 57.64/9.37 tff(f118616,plain,(
% 57.64/9.37 spl5880_5497 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK2852(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5497])])).
% 57.64/9.37 tff(f54891,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK2852(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39977])).
% 57.64/9.37 tff(f39977,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : ((aa(set(X0),nat,finite_card(X0),X1) = aa(list(X0),nat,size_size(list(X0)),sK2852(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK2852(X0,X1)) = X1 & sorted_wrt(X0,ord_less(X0),sK2852(X0,X1))) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2852])],[f31612,f39976])).
% 57.64/9.37 tff(f39976,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1 & sorted_wrt(X0,ord_less(X0),X2)) => (aa(set(X0),nat,finite_card(X0),X1) = aa(list(X0),nat,size_size(list(X0)),sK2852(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK2852(X0,X1)) = X1 & sorted_wrt(X0,ord_less(X0),sK2852(X0,X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f31612,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1 & sorted_wrt(X0,ord_less(X0),X2)) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(flattening,[],[f31611])).
% 57.64/9.37 tff(f31611,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : ((aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1) & sorted_wrt(X0,ord_less(X0),X2)) | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24834])).
% 57.64/9.37 tff(f24834,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => ~! [X2 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X2) => (aa(list(X0),set(X0),set2(X0),X2) = X1 => aa(list(X0),nat,size_size(list(X0)),X2) != aa(set(X0),nat,finite_card(X0),X1)))))),
% 57.64/9.37 inference(rectify,[],[f8081])).
% 57.64/9.37 tff(f8081,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X27 : set(X0)] : (finite_finite(X0,X27) => ~! [X239 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X239) => (aa(list(X0),set(X0),set2(X0),X239) = X27 => aa(set(X0),nat,finite_card(X0),X27) != aa(list(X0),nat,size_size(list(X0)),X239)))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8080_sorted__list__of__set_Ofinite__set__strict__sorted)).
% 57.64/9.37 tff(f118614,plain,(
% 57.64/9.37 spl5880_5496),
% 57.64/9.37 inference(avatar_split_clause,[],[f54889,f118612])).
% 57.64/9.37 tff(f118612,plain,(
% 57.64/9.37 spl5880_5496 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),linord4507533701916653071of_set(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5496])])).
% 57.64/9.37 tff(f54889,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),linord4507533701916653071of_set(X0,X1)) = X1 | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31610])).
% 57.64/9.37 tff(f31610,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),linord4507533701916653071of_set(X0,X1)) = X1 | ~finite_finite(X0,X1)) | ~linorder(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24833])).
% 57.64/9.37 tff(f24833,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => aa(list(X0),set(X0),set2(X0),linord4507533701916653071of_set(X0,X1)) = X1))),
% 57.64/9.37 inference(rectify,[],[f7136])).
% 57.64/9.37 tff(f7136,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linorder(X0) => ! [X27 : set(X0)] : (finite_finite(X0,X27) => aa(list(X0),set(X0),set2(X0),linord4507533701916653071of_set(X0,X27)) = X27))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7135_sorted__list__of__set_Oset__sorted__key__list__of__set)).
% 57.64/9.37 tff(f118610,plain,(
% 57.64/9.37 spl5880_5495),
% 57.64/9.37 inference(avatar_split_clause,[],[f54764,f118608])).
% 57.64/9.37 tff(f118608,plain,(
% 57.64/9.37 spl5880_5495 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) | ~dvd_dvd(X0,X2,X1) | ~comm_monoid_mult(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5495])])).
% 57.64/9.37 tff(f54764,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) | ~dvd_dvd(X0,X2,X1) | ~comm_monoid_mult(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39952])).
% 57.64/9.37 tff(f39952,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) | ~dvd_dvd(X0,X2,X1)) & (dvd_dvd(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)))) | ~comm_monoid_mult(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f31483])).
% 57.64/9.37 tff(f31483,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) <=> dvd_dvd(X0,X2,X1)) | ~comm_monoid_mult(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12704])).
% 57.64/9.37 tff(f12704,plain,(
% 57.64/9.37 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) <=> dvd_dvd(X0,X2,X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f12703])).
% 57.64/9.37 tff(f12703,plain,(
% 57.64/9.37 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2) <=> dvd_dvd(X0,X2,X1)))),
% 57.64/9.37 inference(rectify,[],[f8387])).
% 57.64/9.37 tff(f8387,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X105 : X0,X448 : X0] : (aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X105),X448) <=> dvd_dvd(X0,X448,X105)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8386_ATP_Olambda__206)).
% 57.64/9.37 tff(f118606,plain,(
% 57.64/9.37 spl5880_5494),
% 57.64/9.37 inference(avatar_split_clause,[],[f54763,f118604])).
% 57.64/9.37 tff(f118604,plain,(
% 57.64/9.37 spl5880_5494 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) | ~comm_monoid_mult(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5494])])).
% 57.64/9.37 tff(f54763,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_az(X0,fun(X0,$o),X1),X2)) | ~comm_monoid_mult(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39952])).
% 57.64/9.37 tff(f118602,plain,(
% 57.64/9.37 spl5880_5493),
% 57.64/9.37 inference(avatar_split_clause,[],[f54634,f118600])).
% 57.64/9.37 tff(f118600,plain,(
% 57.64/9.37 spl5880_5493 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5493])])).
% 57.64/9.37 tff(f54634,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31352])).
% 57.64/9.37 tff(f31352,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24662])).
% 57.64/9.37 tff(f24662,plain,(
% 57.64/9.37 ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f495])).
% 57.64/9.37 tff(f495,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (monoid_mult(X0) => ! [X8 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X8))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_494_power__one)).
% 57.64/9.37 tff(f118598,plain,(
% 57.64/9.37 spl5880_5492),
% 57.64/9.37 inference(avatar_split_clause,[],[f54581,f118596])).
% 57.64/9.37 tff(f118596,plain,(
% 57.64/9.37 spl5880_5492 <=> ! [X0 : $tType,X2 : num,X1 : num] : (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5492])])).
% 57.64/9.37 tff(f54581,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : num,X1 : num] : (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39943])).
% 57.64/9.37 tff(f39943,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num,X2 : num] : ((aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) | X1 != X2) & (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1))) | ~semiring_char_0(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f31304])).
% 57.64/9.37 tff(f31304,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) <=> X1 = X2) | ~semiring_char_0(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24626])).
% 57.64/9.37 tff(f24626,plain,(
% 57.64/9.37 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) <=> X1 = X2))),
% 57.64/9.37 inference(rectify,[],[f21])).
% 57.64/9.37 tff(f21,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X15 : num,X8 : num] : (aa(num,X0,numeral_numeral(X0),X15) = aa(num,X0,numeral_numeral(X0),X8) <=> X8 = X15))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_numeral__eq__iff)).
% 57.64/9.37 tff(f118594,plain,(
% 57.64/9.37 spl5880_5491),
% 57.64/9.37 inference(avatar_split_clause,[],[f54462,f118592])).
% 57.64/9.37 tff(f118592,plain,(
% 57.64/9.37 spl5880_5491 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5491])])).
% 57.64/9.37 tff(f54462,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31214])).
% 57.64/9.37 tff(f31214,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24565])).
% 57.64/9.37 tff(f24565,plain,(
% 57.64/9.37 ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f855])).
% 57.64/9.37 tff(f855,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (mult_zero(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X11))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_854_mult__zero__left)).
% 57.64/9.37 tff(f118590,plain,(
% 57.64/9.37 spl5880_5490),
% 57.64/9.37 inference(avatar_split_clause,[],[f54461,f118588])).
% 57.64/9.37 tff(f118588,plain,(
% 57.64/9.37 spl5880_5490 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5490])])).
% 57.64/9.37 tff(f54461,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31213])).
% 57.64/9.37 tff(f31213,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24564])).
% 57.64/9.37 tff(f24564,plain,(
% 57.64/9.37 ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f854])).
% 57.64/9.37 tff(f854,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (mult_zero(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_853_mult__zero__right)).
% 57.64/9.37 tff(f118586,plain,(
% 57.64/9.37 spl5880_5489),
% 57.64/9.37 inference(avatar_split_clause,[],[f54265,f118584])).
% 57.64/9.37 tff(f118584,plain,(
% 57.64/9.37 spl5880_5489 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5489])])).
% 57.64/9.37 tff(f54265,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)) = $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31076])).
% 57.64/9.37 tff(f31076,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12460])).
% 57.64/9.37 tff(f12460,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12459])).
% 57.64/9.37 tff(f12459,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f1070])).
% 57.64/9.37 tff(f1070,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1069_le__numeral__extra_I3_J)).
% 57.64/9.37 tff(f118582,plain,(
% 57.64/9.37 spl5880_5488 | ~spl5880_4479 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116921,f114695,f105663,f118580])).
% 57.64/9.37 tff(f118580,plain,(
% 57.64/9.37 spl5880_5488 <=> ! [X0 : nat] : iG945(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5488])])).
% 57.64/9.37 tff(f105663,plain,(
% 57.64/9.37 spl5880_4479 <=> iG945(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4479])])).
% 57.64/9.37 tff(f116921,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG945(X0,$true)) ) | (~spl5880_4479 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105665,f114696])).
% 57.64/9.37 tff(f105665,plain,(
% 57.64/9.37 iG945(iG271,$true) | ~spl5880_4479),
% 57.64/9.37 inference(avatar_component_clause,[],[f105663])).
% 57.64/9.37 tff(f118578,plain,(
% 57.64/9.37 spl5880_5487),
% 57.64/9.37 inference(avatar_split_clause,[],[f54264,f118576])).
% 57.64/9.37 tff(f118576,plain,(
% 57.64/9.37 spl5880_5487 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5487])])).
% 57.64/9.37 tff(f54264,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31075])).
% 57.64/9.37 tff(f31075,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12458])).
% 57.64/9.37 tff(f12458,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12457])).
% 57.64/9.37 tff(f12457,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f1166])).
% 57.64/9.37 tff(f1166,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1165_linordered__nonzero__semiring__class_Ozero__le__one)).
% 57.64/9.37 tff(f118574,plain,(
% 57.64/9.37 spl5880_5486),
% 57.64/9.37 inference(avatar_split_clause,[],[f54263,f118572])).
% 57.64/9.37 tff(f118572,plain,(
% 57.64/9.37 spl5880_5486 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5486])])).
% 57.64/9.37 tff(f54263,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31074])).
% 57.64/9.37 tff(f31074,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12456])).
% 57.64/9.37 tff(f12456,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12455])).
% 57.64/9.37 tff(f12455,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f518])).
% 57.64/9.37 tff(f518,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_517_le__numeral__extra_I4_J)).
% 57.64/9.37 tff(f118570,plain,(
% 57.64/9.37 spl5880_5485),
% 57.64/9.37 inference(avatar_split_clause,[],[f54262,f118568])).
% 57.64/9.37 tff(f118568,plain,(
% 57.64/9.37 spl5880_5485 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5485])])).
% 57.64/9.37 tff(f54262,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31073])).
% 57.64/9.37 tff(f31073,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12454])).
% 57.64/9.37 tff(f12454,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12453])).
% 57.64/9.37 tff(f12453,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f1197])).
% 57.64/9.37 tff(f1197,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1196_less__numeral__extra_I1_J)).
% 57.64/9.37 tff(f118566,plain,(
% 57.64/9.37 spl5880_5484),
% 57.64/9.37 inference(avatar_split_clause,[],[f54208,f118564])).
% 57.64/9.37 tff(f118564,plain,(
% 57.64/9.37 spl5880_5484 <=> ! [X0 : $tType,X1 : list(X0)] : (sP1947(X0,X1) | member(X0,sK2785(X0,X1),aa(list(X0),set(X0),set2(X0),X1)) | ~ordere6911136660526730532id_add(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5484])])).
% 57.64/9.37 tff(f54208,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (sP1947(X0,X1) | member(X0,sK2785(X0,X1),aa(list(X0),set(X0),set2(X0),X1)) | ~ordere6911136660526730532id_add(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39779])).
% 57.64/9.37 tff(f39779,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : list(X0)] : (sP1947(X0,X1) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),sK2785(X0,X1))) & member(X0,sK2785(X0,X1),aa(list(X0),set(X0),set2(X0),X1)))) | ~ordere6911136660526730532id_add(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2785])],[f37119,f39778])).
% 57.64/9.37 tff(f39778,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) => (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),sK2785(X0,X1))) & member(X0,sK2785(X0,X1),aa(list(X0),set(X0),set2(X0),X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f37119,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : list(X0)] : (sP1947(X0,X1) | ? [X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) | ~ordere6911136660526730532id_add(X0))),
% 57.64/9.37 inference(definition_folding,[],[f31014,f37118])).
% 57.64/9.37 tff(f37118,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : list(X0)] : ((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)))) | ~sP1947(X0,X1))),
% 57.64/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1947])])).
% 57.64/9.37 tff(f31014,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)))) | ? [X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) | ~ordere6911136660526730532id_add(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12368])).
% 57.64/9.37 tff(f12368,plain,(
% 57.64/9.37 ! [X0 : $tType] : (ordere6911136660526730532id_add(X0) => ! [X1 : list(X0)] : (! [X2 : X0] : (member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2))) => (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)) => zero_zero(X0) = X3))))),
% 57.64/9.37 inference(fool_elimination,[],[f12367])).
% 57.64/9.37 tff(f12367,plain,(
% 57.64/9.37 ! [X0 : $tType] : (ordere6911136660526730532id_add(X0) => ! [X1 : list(X0)] : (! [X2 : X0] : (member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) => (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)) => zero_zero(X0) = X3))))),
% 57.64/9.37 inference(rectify,[],[f7958])).
% 57.64/9.37 tff(f7958,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (ordere6911136660526730532id_add(X0) => ! [X64 : list(X0)] : (! [X29 : X0] : (member(X0,X29,aa(list(X0),set(X0),set2(X0),X64)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X29)) => (zero_zero(X0) = groups8242544230860333062m_list(X0,X64) <=> ! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X64)) => zero_zero(X0) = X65))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7957_sum__list__nonneg__eq__0__iff)).
% 57.64/9.37 tff(f118562,plain,(
% 57.64/9.37 spl5880_5483),
% 57.64/9.37 inference(avatar_split_clause,[],[f54198,f118560])).
% 57.64/9.37 tff(f118560,plain,(
% 57.64/9.37 spl5880_5483 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5483])])).
% 57.64/9.37 tff(f54198,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31008])).
% 57.64/9.37 tff(f31008,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24504])).
% 57.64/9.37 tff(f24504,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)) != $true))),
% 57.64/9.37 inference(flattening,[],[f12364])).
% 57.64/9.37 tff(f12364,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~(aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12363])).
% 57.64/9.37 tff(f12363,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f1167])).
% 57.64/9.37 tff(f1167,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1166_not__one__le__zero)).
% 57.64/9.37 tff(f118558,plain,(
% 57.64/9.37 spl5880_5482),
% 57.64/9.37 inference(avatar_split_clause,[],[f54197,f118556])).
% 57.64/9.37 tff(f118556,plain,(
% 57.64/9.37 spl5880_5482 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5482])])).
% 57.64/9.37 tff(f54197,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31007])).
% 57.64/9.37 tff(f31007,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24503])).
% 57.64/9.37 tff(f24503,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)) != $true))),
% 57.64/9.37 inference(flattening,[],[f12362])).
% 57.64/9.37 tff(f12362,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12361])).
% 57.64/9.37 tff(f12361,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f1075])).
% 57.64/9.37 tff(f1075,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1074_less__numeral__extra_I3_J)).
% 57.64/9.37 tff(f118554,plain,(
% 57.64/9.37 spl5880_5481),
% 57.64/9.37 inference(avatar_split_clause,[],[f54196,f118552])).
% 57.64/9.37 tff(f118552,plain,(
% 57.64/9.37 spl5880_5481 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5481])])).
% 57.64/9.37 tff(f54196,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31006])).
% 57.64/9.37 tff(f31006,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24502])).
% 57.64/9.37 tff(f24502,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)) != $true))),
% 57.64/9.37 inference(flattening,[],[f12360])).
% 57.64/9.37 tff(f12360,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12359])).
% 57.64/9.37 tff(f12359,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f1195])).
% 57.64/9.37 tff(f1195,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1194_not__one__less__zero)).
% 57.64/9.37 tff(f118550,plain,(
% 57.64/9.37 spl5880_5480),
% 57.64/9.37 inference(avatar_split_clause,[],[f54195,f118548])).
% 57.64/9.37 tff(f118548,plain,(
% 57.64/9.37 spl5880_5480 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5480])])).
% 57.64/9.37 tff(f54195,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)) != $true) | ~linord181362715937106298miring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f31005])).
% 57.64/9.37 tff(f31005,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)) != $true) | ~linord181362715937106298miring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24501])).
% 57.64/9.37 tff(f24501,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)) != $true))),
% 57.64/9.37 inference(flattening,[],[f12358])).
% 57.64/9.37 tff(f12358,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12357])).
% 57.64/9.37 tff(f12357,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f519])).
% 57.64/9.37 tff(f519,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_518_less__numeral__extra_I4_J)).
% 57.64/9.37 tff(f118546,plain,(
% 57.64/9.37 spl5880_5479),
% 57.64/9.37 inference(avatar_split_clause,[],[f54184,f118544])).
% 57.64/9.37 tff(f118544,plain,(
% 57.64/9.37 spl5880_5479 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1 | ~semidom_divide(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5479])])).
% 57.64/9.37 tff(f54184,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1 | ~semidom_divide(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30993])).
% 57.64/9.37 tff(f30993,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1) | ~semidom_divide(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24495])).
% 57.64/9.37 tff(f24495,plain,(
% 57.64/9.37 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0,X2 : set(X0)] : (zero_zero(X0) != X1 => inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))),
% 57.64/9.37 inference(rectify,[],[f6944])).
% 57.64/9.37 tff(f6944,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (semidom_divide(X0) => ! [X11 : X0,X27 : set(X0)] : (zero_zero(X0) != X11 => inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X27)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6943_inj__on__mult)).
% 57.64/9.37 tff(f118542,plain,(
% 57.64/9.37 spl5880_5478),
% 57.64/9.37 inference(avatar_split_clause,[],[f54084,f118540])).
% 57.64/9.37 tff(f118540,plain,(
% 57.64/9.37 spl5880_5478 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5478])])).
% 57.64/9.37 tff(f54084,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30911])).
% 57.64/9.37 tff(f30911,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12314])).
% 57.64/9.37 tff(f12314,plain,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12313])).
% 57.64/9.37 tff(f12313,plain,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f1165])).
% 57.64/9.37 tff(f1165,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1164_zero__less__one__class_Ozero__le__one)).
% 57.64/9.37 tff(f118538,plain,(
% 57.64/9.37 spl5880_5477 | ~spl5880_4469 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116919,f114695,f105612,f118536])).
% 57.64/9.37 tff(f118536,plain,(
% 57.64/9.37 spl5880_5477 <=> ! [X0 : nat] : iG955(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5477])])).
% 57.64/9.37 tff(f105612,plain,(
% 57.64/9.37 spl5880_4469 <=> iG955(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4469])])).
% 57.64/9.37 tff(f116919,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG955(X0,$true)) ) | (~spl5880_4469 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105614,f114696])).
% 57.64/9.37 tff(f105614,plain,(
% 57.64/9.37 iG955(iG271,$true) | ~spl5880_4469),
% 57.64/9.37 inference(avatar_component_clause,[],[f105612])).
% 57.64/9.37 tff(f118534,plain,(
% 57.64/9.37 spl5880_5476),
% 57.64/9.37 inference(avatar_split_clause,[],[f54083,f118532])).
% 57.64/9.37 tff(f118532,plain,(
% 57.64/9.37 spl5880_5476 <=> ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5476])])).
% 57.64/9.37 tff(f54083,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30910])).
% 57.64/9.37 tff(f30910,plain,(
% 57.64/9.37 ! [X0 : $tType] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true) | ~zero_less_one(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f12312])).
% 57.64/9.37 tff(f12312,plain,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)) = $true))),
% 57.64/9.37 inference(fool_elimination,[],[f12311])).
% 57.64/9.37 tff(f12311,plain,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 inference(rectify,[],[f1196])).
% 57.64/9.37 tff(f1196,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (zero_less_one(X0) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),one_one(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1195_zero__less__one)).
% 57.64/9.37 tff(f118530,plain,(
% 57.64/9.37 spl5880_5475),
% 57.64/9.37 inference(avatar_split_clause,[],[f53861,f118528])).
% 57.64/9.37 tff(f118528,plain,(
% 57.64/9.37 spl5880_5475 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5475])])).
% 57.64/9.37 tff(f53861,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30676])).
% 57.64/9.37 tff(f30676,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24331])).
% 57.64/9.37 tff(f24331,plain,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1))),
% 57.64/9.37 inference(rectify,[],[f2037])).
% 57.64/9.37 tff(f2037,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X9 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X9),X9) = neg_numeral_dbl(X0,X9))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2036_dbl__def)).
% 57.64/9.37 tff(f118526,plain,(
% 57.64/9.37 spl5880_5474),
% 57.64/9.37 inference(avatar_split_clause,[],[f53860,f118524])).
% 57.64/9.37 tff(f118524,plain,(
% 57.64/9.37 spl5880_5474 <=> ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5474])])).
% 57.64/9.37 tff(f53860,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30675])).
% 57.64/9.37 tff(f30675,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24330])).
% 57.64/9.37 tff(f24330,plain,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 57.64/9.37 inference(rectify,[],[f2607])).
% 57.64/9.37 tff(f2607,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X24 : num] : neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X24)) = aa(num,X0,numeral_numeral(X0),bitM(X24)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2606_dbl__dec__simps_I5_J)).
% 57.64/9.37 tff(f118522,plain,(
% 57.64/9.37 spl5880_5473),
% 57.64/9.37 inference(avatar_split_clause,[],[f53859,f118520])).
% 57.64/9.37 tff(f118520,plain,(
% 57.64/9.37 spl5880_5473 <=> ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_sub(X0,aa(num,num,bit0,X1),one2) | ~neg_numeral(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5473])])).
% 57.64/9.37 tff(f53859,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_sub(X0,aa(num,num,bit0,X1),one2) | ~neg_numeral(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f30674])).
% 57.64/9.37 tff(f30674,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_sub(X0,aa(num,num,bit0,X1),one2) | ~neg_numeral(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24329])).
% 57.64/9.37 tff(f24329,plain,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_sub(X0,aa(num,num,bit0,X1),one2))),
% 57.64/9.37 inference(rectify,[],[f5750])).
% 57.64/9.37 tff(f5750,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (neg_numeral(X0) => ! [X24 : num] : aa(num,X0,numeral_numeral(X0),bitM(X24)) = neg_numeral_sub(X0,aa(num,num,bit0,X24),one2))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5749_sub__num__simps_I4_J)).
% 57.64/9.37 tff(f118518,plain,(
% 57.64/9.37 spl5880_5472),
% 57.64/9.37 inference(avatar_split_clause,[],[f53790,f118516])).
% 57.64/9.37 tff(f118516,plain,(
% 57.64/9.37 spl5880_5472 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5472])])).
% 57.64/9.37 tff(f53790,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39707])).
% 57.64/9.37 tff(f39707,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) | X1 != X2) & (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1))) | ~group_add(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f30611])).
% 57.64/9.37 tff(f30611,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2) | ~group_add(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24290])).
% 57.64/9.37 tff(f24290,plain,(
% 57.64/9.37 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2))),
% 57.64/9.37 inference(rectify,[],[f2310])).
% 57.64/9.37 tff(f2310,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,X0,uminus_uminus(X0),X11) = aa(X0,X0,uminus_uminus(X0),X12) <=> X11 = X12))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2309_neg__equal__iff__equal)).
% 57.64/9.37 tff(f118514,plain,(
% 57.64/9.37 spl5880_5471),
% 57.64/9.37 inference(avatar_split_clause,[],[f52910,f118512])).
% 57.64/9.37 tff(f118512,plain,(
% 57.64/9.37 spl5880_5471 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2720(X0,X1))) | ~no_top(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5471])])).
% 57.64/9.37 tff(f52910,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2720(X0,X1))) | ~no_top(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39382])).
% 57.64/9.37 tff(f39382,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2720(X0,X1))) | ~no_top(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2720])],[f30017,f39381])).
% 57.64/9.37 tff(f39381,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2720(X0,X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f30017,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ~no_top(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11448])).
% 57.64/9.37 tff(f11448,plain,(
% 57.64/9.37 ! [X0 : $tType] : (no_top(X0) => ! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f11447])).
% 57.64/9.37 tff(f11447,plain,(
% 57.64/9.37 ! [X0 : $tType] : (no_top(X0) => ! [X1 : X0] : ? [X2 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2))),
% 57.64/9.37 inference(rectify,[],[f2088])).
% 57.64/9.37 tff(f2088,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (no_top(X0) => ! [X9 : X0] : ? [X51 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X9),X51))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2087_gt__ex)).
% 57.64/9.37 tff(f118510,plain,(
% 57.64/9.37 spl5880_5470),
% 57.64/9.37 inference(avatar_split_clause,[],[f52857,f118508])).
% 57.64/9.37 tff(f118508,plain,(
% 57.64/9.37 spl5880_5470 <=> ! [X0 : $tType,X3 : X0,X2 : nat,X1 : nat] : (aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),bit_se8732182000553998342ip_bit(X0,X2,X3)) = iG463(X0,X2,X1,X3) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5470])])).
% 57.64/9.37 tff(f52857,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),bit_se8732182000553998342ip_bit(X0,X2,X3)) = iG463(X0,X2,X1,X3) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29978])).
% 57.64/9.37 tff(f29978,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : nat,X2 : nat,X3 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),bit_se8732182000553998342ip_bit(X0,X2,X3)) = iG463(X0,X2,X1,X3) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11382])).
% 57.64/9.37 tff(f11382,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : nat,X3 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),bit_se8732182000553998342ip_bit(X0,X2,X3)) = iG463(X0,X2,X1,X3))),
% 57.64/9.37 inference(fool_elimination,[],[f11380,f11381])).
% 57.64/9.37 tff(f11381,plain,(
% 57.64/9.37 ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => bit_se8732182000553998342ip_bit(X0,X2,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3)) = iG463(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3) = iG463(X0,X2,X1,X3))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG463])])).
% 57.64/9.37 tff(f11380,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : nat,X3 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),bit_se8732182000553998342ip_bit(X0,X2,X3)) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2), aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3),bit_se8732182000553998342ip_bit(X0,X2,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3))))),
% 57.64/9.37 inference(rectify,[],[f2983])).
% 57.64/9.37 tff(f2983,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat,X15 : nat,X11 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),bit_se8732182000553998342ip_bit(X0,X15,X11)) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X15), aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),X11),bit_se8732182000553998342ip_bit(X0,X15,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),X11))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2982_take__bit__flip__bit__eq)).
% 57.64/9.37 tff(f118501,plain,(
% 57.64/9.37 spl5880_5469 | ~spl5880_1515 | ~spl5880_5330 | ~spl5880_5468),
% 57.64/9.37 inference(avatar_split_clause,[],[f118497,f118494,f114695,f86202,f118499])).
% 57.64/9.37 tff(f118499,plain,(
% 57.64/9.37 spl5880_5469 <=> ! [X0 : $tType,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5469])])).
% 57.64/9.37 tff(f86202,plain,(
% 57.64/9.37 spl5880_1515 <=> ($true = bG450(iG717($true)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1515])])).
% 57.64/9.37 tff(f118494,plain,(
% 57.64/9.37 spl5880_5468 <=> ! [X0 : $tType,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),bG450(X1)) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5468])])).
% 57.64/9.37 tff(f118497,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~bit_se359711467146920520ations(X0)) ) | (~spl5880_1515 | ~spl5880_5330 | ~spl5880_5468)),
% 57.64/9.37 inference(forward_demodulation,[],[f118495,f117073])).
% 57.64/9.37 tff(f117073,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (($true = bG450(X0))) ) | (~spl5880_1515 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f86204,f114696])).
% 57.64/9.37 tff(f86204,plain,(
% 57.64/9.37 ($true = bG450(iG717($true))) | ~spl5880_1515),
% 57.64/9.37 inference(avatar_component_clause,[],[f86202])).
% 57.64/9.37 tff(f118495,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),bG450(X1)) | ~bit_se359711467146920520ations(X0)) ) | ~spl5880_5468),
% 57.64/9.37 inference(avatar_component_clause,[],[f118494])).
% 57.64/9.37 tff(f118496,plain,(
% 57.64/9.37 spl5880_5468),
% 57.64/9.37 inference(avatar_split_clause,[],[f52737,f118494])).
% 57.64/9.37 tff(f52737,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),bG450(X1)) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29888])).
% 57.64/9.37 tff(f29888,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : nat] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),bG450(X1)) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11335])).
% 57.64/9.37 tff(f11335,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),bG450(X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f11333,f11334])).
% 57.64/9.37 tff(f11334,plain,(
% 57.64/9.37 ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG450(X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG450])])).
% 57.64/9.37 tff(f11333,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),zero_zero(nat) = X1))),
% 57.64/9.37 inference(rectify,[],[f5537])).
% 57.64/9.37 tff(f5537,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),one_one(X0)) = aa($o,X0,zero_neq_one_of_bool(X0),zero_zero(nat) = X8))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5536_drop__bit__of__1)).
% 57.64/9.37 tff(f118492,plain,(
% 57.64/9.37 spl5880_5467 | ~spl5880_4458 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116918,f114695,f105567,f118490])).
% 57.64/9.37 tff(f118490,plain,(
% 57.64/9.37 spl5880_5467 <=> ! [X0 : nat] : iG967(X0,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5467])])).
% 57.64/9.37 tff(f105567,plain,(
% 57.64/9.37 spl5880_4458 <=> iG967(iG271,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4458])])).
% 57.64/9.37 tff(f116918,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG967(X0,$true)) ) | (~spl5880_4458 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f105569,f114696])).
% 57.64/9.37 tff(f105569,plain,(
% 57.64/9.37 iG967(iG271,$true) | ~spl5880_4458),
% 57.64/9.37 inference(avatar_component_clause,[],[f105567])).
% 57.64/9.37 tff(f118488,plain,(
% 57.64/9.37 spl5880_5466),
% 57.64/9.37 inference(avatar_split_clause,[],[f52724,f118486])).
% 57.64/9.37 tff(f118486,plain,(
% 57.64/9.37 spl5880_5466 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5466])])).
% 57.64/9.37 tff(f52724,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29875])).
% 57.64/9.37 tff(f29875,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24011])).
% 57.64/9.37 tff(f24011,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f2586])).
% 57.64/9.37 tff(f2586,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X11))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2585_zero__and__eq)).
% 57.64/9.37 tff(f118484,plain,(
% 57.64/9.37 spl5880_5465),
% 57.64/9.37 inference(avatar_split_clause,[],[f52723,f118482])).
% 57.64/9.37 tff(f118482,plain,(
% 57.64/9.37 spl5880_5465 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5465])])).
% 57.64/9.37 tff(f52723,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29874])).
% 57.64/9.37 tff(f29874,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f24010])).
% 57.64/9.37 tff(f24010,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f2585])).
% 57.64/9.37 tff(f2585,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X11),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2584_and__zero__eq)).
% 57.64/9.37 tff(f118480,plain,(
% 57.64/9.37 spl5880_5464),
% 57.64/9.37 inference(avatar_split_clause,[],[f52697,f118478])).
% 57.64/9.37 tff(f118478,plain,(
% 57.64/9.37 spl5880_5464 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~iG444(X0,X3,X1,X2) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5464])])).
% 57.64/9.37 tff(f52697,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~iG444(X0,X3,X1,X2) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39330])).
% 57.64/9.37 tff(f39330,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~iG444(X0,X3,X1,X2)) & (iG444(X0,X3,X1,X2) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) != X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29852])).
% 57.64/9.37 tff(f29852,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> iG444(X0,X3,X1,X2)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11317])).
% 57.64/9.37 tff(f11317,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> iG444(X0,X3,X1,X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f11315,f11316])).
% 57.64/9.37 tff(f11316,plain,(
% 57.64/9.37 ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != X3 => (iG444(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X3 => (iG444(X0,X3,X1,X2) <=> aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG444])])).
% 57.64/9.37 tff(f11315,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> $ite(zero_zero(X0) != X3, aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3),zero_zero(X0) = X1)))),
% 57.64/9.37 inference(rectify,[],[f2512])).
% 57.64/9.37 tff(f2512,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0,X12 : X0,X17 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X12,X17)) = X11 <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17) = aa(X0,X0,uminus_uminus(X0),X12),zero_zero(X0) = X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2511_eq__minus__divide__eq)).
% 57.64/9.37 tff(f118476,plain,(
% 57.64/9.37 spl5880_5463),
% 57.64/9.37 inference(avatar_split_clause,[],[f52695,f118474])).
% 57.64/9.37 tff(f118474,plain,(
% 57.64/9.37 spl5880_5463 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~iG443(X0,X2,X3,X1) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5463])])).
% 57.64/9.37 tff(f52695,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~iG443(X0,X2,X3,X1) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39329])).
% 57.64/9.37 tff(f39329,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~iG443(X0,X2,X3,X1)) & (iG443(X0,X2,X3,X1) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) != X3)) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29851])).
% 57.64/9.37 tff(f29851,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> iG443(X0,X2,X3,X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11314])).
% 57.64/9.37 tff(f11314,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> iG443(X0,X2,X3,X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f11312,f11313])).
% 57.64/9.37 tff(f11313,plain,(
% 57.64/9.37 ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != X2 => (iG443(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != X2 => (iG443(X0,X2,X3,X1) <=> aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG443])])).
% 57.64/9.37 tff(f11312,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> $ite(zero_zero(X0) != X2, aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2),zero_zero(X0) = X3)))),
% 57.64/9.37 inference(rectify,[],[f2511])).
% 57.64/9.37 tff(f2511,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X12 : X0,X17 : X0,X11 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X12,X17)) = X11 <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17) = aa(X0,X0,uminus_uminus(X0),X12),zero_zero(X0) = X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2510_minus__divide__eq__eq)).
% 57.64/9.37 tff(f118472,plain,(
% 57.64/9.37 spl5880_5462),
% 57.64/9.37 inference(avatar_split_clause,[],[f52693,f118470])).
% 57.64/9.37 tff(f118470,plain,(
% 57.64/9.37 spl5880_5462 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~iG442(X0,X3,X1,X2) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5462])])).
% 57.64/9.37 tff(f52693,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~iG442(X0,X3,X1,X2) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39328])).
% 57.64/9.37 tff(f39328,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : ((divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~iG442(X0,X3,X1,X2)) & (iG442(X0,X3,X1,X2) | divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) != X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29850])).
% 57.64/9.37 tff(f29850,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> iG442(X0,X3,X1,X2)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11311])).
% 57.64/9.37 tff(f11311,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> iG442(X0,X3,X1,X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f11309,f11310])).
% 57.64/9.37 tff(f11310,plain,(
% 57.64/9.37 ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) => (iG442(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) => (iG442(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG442])])).
% 57.64/9.37 tff(f11309,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> $ite(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) = X1)))),
% 57.64/9.37 inference(rectify,[],[f991])).
% 57.64/9.37 tff(f991,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0,X12 : X0,X20 : num] : (divide_divide(X0,X12,aa(num,X0,numeral_numeral(X0),X20)) = X11 <=> $ite(aa(num,X0,numeral_numeral(X0),X20) != zero_zero(X0), aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),aa(num,X0,numeral_numeral(X0),X20)) = X12,zero_zero(X0) = X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_990_eq__divide__eq__numeral1_I1_J)).
% 57.64/9.37 tff(f118468,plain,(
% 57.64/9.37 spl5880_5461),
% 57.64/9.37 inference(avatar_split_clause,[],[f52691,f118466])).
% 57.64/9.37 tff(f118466,plain,(
% 57.64/9.37 spl5880_5461 <=> ! [X0 : $tType,X3 : X0,X2 : num,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~iG441(X0,X2,X3,X1) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5461])])).
% 57.64/9.37 tff(f52691,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~iG441(X0,X2,X3,X1) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39327])).
% 57.64/9.37 tff(f39327,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : ((divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~iG441(X0,X2,X3,X1)) & (iG441(X0,X2,X3,X1) | divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) != X3)) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29849])).
% 57.64/9.37 tff(f29849,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> iG441(X0,X2,X3,X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11308])).
% 57.64/9.37 tff(f11308,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> iG441(X0,X2,X3,X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f11306,f11307])).
% 57.64/9.37 tff(f11307,plain,(
% 57.64/9.37 ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2) => (iG441(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2) => (iG441(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG441])])).
% 57.64/9.37 tff(f11306,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> $ite(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) = X3)))),
% 57.64/9.37 inference(rectify,[],[f992])).
% 57.64/9.37 tff(f992,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X12 : X0,X20 : num,X11 : X0] : (divide_divide(X0,X12,aa(num,X0,numeral_numeral(X0),X20)) = X11 <=> $ite(aa(num,X0,numeral_numeral(X0),X20) != zero_zero(X0), aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),aa(num,X0,numeral_numeral(X0),X20)) = X12,zero_zero(X0) = X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_991_divide__eq__eq__numeral1_I1_J)).
% 57.64/9.37 tff(f118464,plain,(
% 57.64/9.37 spl5880_5460),
% 57.64/9.37 inference(avatar_split_clause,[],[f52689,f118462])).
% 57.64/9.37 tff(f118462,plain,(
% 57.64/9.37 spl5880_5460 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~iG440(X0,X2,X3,X1) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5460])])).
% 57.64/9.37 tff(f52689,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~iG440(X0,X2,X3,X1) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39326])).
% 57.64/9.37 tff(f39326,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : ((divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~iG440(X0,X2,X3,X1)) & (iG440(X0,X2,X3,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3))) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29848])).
% 57.64/9.37 tff(f29848,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> iG440(X0,X2,X3,X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11305])).
% 57.64/9.37 tff(f11305,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> iG440(X0,X2,X3,X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f11303,f11304])).
% 57.64/9.37 tff(f11304,plain,(
% 57.64/9.37 ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~zero_zero(X0) != X2 => (iG440(X0,X2,X3,X1) <=> zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (zero_zero(X0) != X2 => (iG440(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG440])])).
% 57.64/9.37 tff(f11303,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> $ite(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) = aa(num,X0,numeral_numeral(X0),X3))))),
% 57.64/9.37 inference(rectify,[],[f1341])).
% 57.64/9.37 tff(f1341,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X12 : X0,X17 : X0,X20 : num] : (aa(num,X0,numeral_numeral(X0),X20) = divide_divide(X0,X12,X17) <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X20)),X17) = X12,aa(num,X0,numeral_numeral(X0),X20) = zero_zero(X0))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1340_divide__eq__eq__numeral_I1_J)).
% 57.64/9.37 tff(f118460,plain,(
% 57.64/9.37 spl5880_5459),
% 57.64/9.37 inference(avatar_split_clause,[],[f52688,f118458])).
% 57.64/9.37 tff(f118458,plain,(
% 57.64/9.37 spl5880_5459 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (iG440(X0,X2,X3,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5459])])).
% 57.64/9.37 tff(f52688,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (iG440(X0,X2,X3,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39326])).
% 57.64/9.37 tff(f118456,plain,(
% 57.64/9.37 spl5880_5458),
% 57.64/9.37 inference(avatar_split_clause,[],[f52687,f118454])).
% 57.64/9.37 tff(f118454,plain,(
% 57.64/9.37 spl5880_5458 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~iG439(X0,X3,X1,X2) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5458])])).
% 57.64/9.37 tff(f52687,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~iG439(X0,X3,X1,X2) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39325])).
% 57.64/9.37 tff(f39325,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : ((aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~iG439(X0,X3,X1,X2)) & (iG439(X0,X3,X1,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3))) | ~division_ring(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29847])).
% 57.64/9.37 tff(f29847,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> iG439(X0,X3,X1,X2)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11302])).
% 57.64/9.37 tff(f11302,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> iG439(X0,X3,X1,X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f11300,f11301])).
% 57.64/9.37 tff(f11301,plain,(
% 57.64/9.37 ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~zero_zero(X0) != X3 => (iG439(X0,X3,X1,X2) <=> zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (zero_zero(X0) != X3 => (iG439(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG439])])).
% 57.64/9.37 tff(f11300,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> $ite(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) = aa(num,X0,numeral_numeral(X0),X1))))),
% 57.64/9.37 inference(rectify,[],[f1340])).
% 57.64/9.37 tff(f1340,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X20 : num,X12 : X0,X17 : X0] : (aa(num,X0,numeral_numeral(X0),X20) = divide_divide(X0,X12,X17) <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X20)),X17) = X12,aa(num,X0,numeral_numeral(X0),X20) = zero_zero(X0))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1339_eq__divide__eq__numeral_I1_J)).
% 57.64/9.37 tff(f118452,plain,(
% 57.64/9.37 spl5880_5457),
% 57.64/9.37 inference(avatar_split_clause,[],[f52686,f118450])).
% 57.64/9.37 tff(f118450,plain,(
% 57.64/9.37 spl5880_5457 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : num] : (iG439(X0,X3,X1,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5457])])).
% 57.64/9.37 tff(f52686,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : num] : (iG439(X0,X3,X1,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39325])).
% 57.64/9.37 tff(f118448,plain,(
% 57.64/9.37 spl5880_5456 | ~spl5880_721 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116886,f114695,f82048,f118446])).
% 57.64/9.37 tff(f118446,plain,(
% 57.64/9.37 spl5880_5456 <=> ! [X0 : nat] : vEBT_invar_vebt(summary,X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5456])])).
% 57.64/9.37 tff(f82048,plain,(
% 57.64/9.37 spl5880_721 <=> vEBT_invar_vebt(summary,m)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_721])])).
% 57.64/9.37 tff(f116886,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (vEBT_invar_vebt(summary,X0)) ) | (~spl5880_721 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f82050,f114696])).
% 57.64/9.37 tff(f82050,plain,(
% 57.64/9.37 vEBT_invar_vebt(summary,m) | ~spl5880_721),
% 57.64/9.37 inference(avatar_component_clause,[],[f82048])).
% 57.64/9.37 tff(f118444,plain,(
% 57.64/9.37 spl5880_5455),
% 57.64/9.37 inference(avatar_split_clause,[],[f52638,f118442])).
% 57.64/9.37 tff(f118442,plain,(
% 57.64/9.37 spl5880_5455 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X2) != aa(X0,X0,inverse_inverse(X0),X1) | ~division_ring(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5455])])).
% 57.64/9.37 tff(f52638,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X2) != aa(X0,X0,inverse_inverse(X0),X1) | ~division_ring(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29805])).
% 57.64/9.37 tff(f29805,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X2) != aa(X0,X0,inverse_inverse(X0),X1)) | ~division_ring(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23968])).
% 57.64/9.37 tff(f23968,plain,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,inverse_inverse(X0),X2) = aa(X0,X0,inverse_inverse(X0),X1) => X1 = X2))),
% 57.64/9.37 inference(rectify,[],[f4348])).
% 57.64/9.37 tff(f4348,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,X0,inverse_inverse(X0),X11) = aa(X0,X0,inverse_inverse(X0),X12) => X11 = X12))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4347_inverse__eq__imp__eq)).
% 57.64/9.37 tff(f118440,plain,(
% 57.64/9.37 spl5880_5454),
% 57.64/9.37 inference(avatar_split_clause,[],[f52496,f118438])).
% 57.64/9.37 tff(f118438,plain,(
% 57.64/9.37 spl5880_5454 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3) | ~field(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5454])])).
% 57.64/9.37 tff(f52496,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3) | ~field(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39308])).
% 57.64/9.37 tff(f39308,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | (X2 != X3 & zero_zero(X0) != X1)) & (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3))) | ~field(X0))),
% 57.64/9.37 inference(flattening,[],[f39307])).
% 57.64/9.37 tff(f39307,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | (X2 != X3 & zero_zero(X0) != X1)) & ((X2 = X3 | zero_zero(X0) = X1) | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3))) | ~field(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29659])).
% 57.64/9.37 tff(f29659,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) <=> (X2 = X3 | zero_zero(X0) = X1)) | ~field(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23859])).
% 57.64/9.37 tff(f23859,plain,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) <=> (X2 = X3 | zero_zero(X0) = X1)))),
% 57.64/9.37 inference(rectify,[],[f877])).
% 57.64/9.37 tff(f877,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X17 : X0,X11 : X0,X12 : X0] : (divide_divide(X0,X17,X11) = divide_divide(X0,X17,X12) <=> (X11 = X12 | zero_zero(X0) = X17)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_876_divide__cancel__left)).
% 57.64/9.37 tff(f118436,plain,(
% 57.64/9.37 spl5880_5453),
% 57.64/9.37 inference(avatar_split_clause,[],[f52493,f118434])).
% 57.64/9.37 tff(f118434,plain,(
% 57.64/9.37 spl5880_5453 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2) | ~field(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5453])])).
% 57.64/9.37 tff(f52493,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2) | ~field(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39306])).
% 57.64/9.37 tff(f39306,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | (X1 != X3 & zero_zero(X0) != X2)) & (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2))) | ~field(X0))),
% 57.64/9.37 inference(flattening,[],[f39305])).
% 57.64/9.37 tff(f39305,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | (X1 != X3 & zero_zero(X0) != X2)) & ((X1 = X3 | zero_zero(X0) = X2) | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2))) | ~field(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29658])).
% 57.64/9.37 tff(f29658,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) <=> (X1 = X3 | zero_zero(X0) = X2)) | ~field(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23858])).
% 57.64/9.37 tff(f23858,plain,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) <=> (X1 = X3 | zero_zero(X0) = X2)))),
% 57.64/9.37 inference(rectify,[],[f876])).
% 57.64/9.37 tff(f876,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (divide_divide(X0,X12,X17) = divide_divide(X0,X11,X17) <=> (X11 = X12 | zero_zero(X0) = X17)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_875_divide__cancel__right)).
% 57.64/9.37 tff(f118432,plain,(
% 57.64/9.37 spl5880_5452),
% 57.64/9.37 inference(avatar_split_clause,[],[f52444,f118430])).
% 57.64/9.37 tff(f118430,plain,(
% 57.64/9.37 spl5880_5452 <=> ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1 | ~field(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5452])])).
% 57.64/9.37 tff(f52444,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1 | ~field(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39294])).
% 57.64/9.37 tff(f39294,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ((inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1) & (zero_zero(X0) != X1 | ~inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))))) | ~field(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29620])).
% 57.64/9.37 tff(f29620,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1) | ~field(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23823])).
% 57.64/9.37 tff(f23823,plain,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1))),
% 57.64/9.37 inference(rectify,[],[f6938])).
% 57.64/9.37 tff(f6938,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (field(X0) => ! [X11 : X0] : (inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X11),top_top(set(X0))) <=> zero_zero(X0) != X11))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6937_inj__divide__right)).
% 57.64/9.37 tff(f118428,plain,(
% 57.64/9.37 spl5880_5451),
% 57.64/9.37 inference(avatar_split_clause,[],[f52340,f118426])).
% 57.64/9.37 tff(f118426,plain,(
% 57.64/9.37 spl5880_5451 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,divide_divide(X0,X2,X1),X3) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5451])])).
% 57.64/9.37 tff(f52340,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,divide_divide(X0,X2,X1),X3) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39274])).
% 57.64/9.37 tff(f39274,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((dvd_dvd(X0,divide_divide(X0,X2,X1),X3) | ~dvd_dvd(X0,X2,X3)) & (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,divide_divide(X0,X2,X1),X3))) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29534])).
% 57.64/9.37 tff(f29534,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((dvd_dvd(X0,divide_divide(X0,X2,X1),X3) <=> dvd_dvd(X0,X2,X3)) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23751])).
% 57.64/9.37 tff(f23751,plain,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => (dvd_dvd(X0,divide_divide(X0,X2,X1),X3) <=> dvd_dvd(X0,X2,X3))))),
% 57.64/9.37 inference(rectify,[],[f2015])).
% 57.64/9.37 tff(f2015,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X12 : X0,X11 : X0,X17 : X0] : (dvd_dvd(X0,X12,one_one(X0)) => (dvd_dvd(X0,divide_divide(X0,X11,X12),X17) <=> dvd_dvd(X0,X11,X17))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2014_div__unit__dvd__iff)).
% 57.64/9.37 tff(f118424,plain,(
% 57.64/9.37 spl5880_5450),
% 57.64/9.37 inference(avatar_split_clause,[],[f52339,f118422])).
% 57.64/9.37 tff(f118422,plain,(
% 57.64/9.37 spl5880_5450 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,divide_divide(X0,X2,X1),X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5450])])).
% 57.64/9.37 tff(f52339,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,divide_divide(X0,X2,X1),X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39274])).
% 57.64/9.37 tff(f118420,plain,(
% 57.64/9.37 spl5880_5449),
% 57.64/9.37 inference(avatar_split_clause,[],[f52338,f118418])).
% 57.64/9.37 tff(f118418,plain,(
% 57.64/9.37 spl5880_5449 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5449])])).
% 57.64/9.37 tff(f52338,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39273])).
% 57.64/9.37 tff(f39273,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) | ~dvd_dvd(X0,X2,X3)) & (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X2,divide_divide(X0,X3,X1)))) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29533])).
% 57.64/9.37 tff(f29533,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) <=> dvd_dvd(X0,X2,X3)) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23750])).
% 57.64/9.37 tff(f23750,plain,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => (dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) <=> dvd_dvd(X0,X2,X3))))),
% 57.64/9.37 inference(rectify,[],[f2014])).
% 57.64/9.37 tff(f2014,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X12 : X0,X11 : X0,X17 : X0] : (dvd_dvd(X0,X12,one_one(X0)) => (dvd_dvd(X0,X11,divide_divide(X0,X17,X12)) <=> dvd_dvd(X0,X11,X17))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2013_dvd__div__unit__iff)).
% 57.64/9.37 tff(f118416,plain,(
% 57.64/9.37 spl5880_5448),
% 57.64/9.37 inference(avatar_split_clause,[],[f52337,f118414])).
% 57.64/9.37 tff(f118414,plain,(
% 57.64/9.37 spl5880_5448 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5448])])).
% 57.64/9.37 tff(f52337,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X2,divide_divide(X0,X3,X1)) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39273])).
% 57.64/9.37 tff(f118412,plain,(
% 57.64/9.37 spl5880_5447),
% 57.64/9.37 inference(avatar_split_clause,[],[f52290,f118410])).
% 57.64/9.37 tff(f118410,plain,(
% 57.64/9.37 spl5880_5447 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5447])])).
% 57.64/9.37 tff(f52290,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39252])).
% 57.64/9.37 tff(f39252,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((zero_zero(X0) = divide_divide(X0,X2,X1) | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1))) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29499])).
% 57.64/9.37 tff(f29499,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X2,X1) <=> zero_zero(X0) = X2) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23727])).
% 57.64/9.37 tff(f23727,plain,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => (zero_zero(X0) = divide_divide(X0,X2,X1) <=> zero_zero(X0) = X2)))),
% 57.64/9.37 inference(rectify,[],[f2049])).
% 57.64/9.37 tff(f2049,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X12 : X0,X11 : X0] : (dvd_dvd(X0,X12,one_one(X0)) => (divide_divide(X0,X11,X12) = zero_zero(X0) <=> zero_zero(X0) = X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2048_unit__div__eq__0__iff)).
% 57.64/9.37 tff(f118408,plain,(
% 57.64/9.37 spl5880_5446),
% 57.64/9.37 inference(avatar_split_clause,[],[f52279,f118406])).
% 57.64/9.37 tff(f118406,plain,(
% 57.64/9.37 spl5880_5446 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,one_one(X0),divide_divide(X0,one_one(X0),X1)) = X1 | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5446])])).
% 57.64/9.37 tff(f52279,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,one_one(X0),divide_divide(X0,one_one(X0),X1)) = X1 | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29483])).
% 57.64/9.37 tff(f29483,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : (divide_divide(X0,one_one(X0),divide_divide(X0,one_one(X0),X1)) = X1 | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23716])).
% 57.64/9.37 tff(f23716,plain,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => divide_divide(X0,one_one(X0),divide_divide(X0,one_one(X0),X1)) = X1))),
% 57.64/9.37 inference(rectify,[],[f1911])).
% 57.64/9.37 tff(f1911,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X11 : X0] : (dvd_dvd(X0,X11,one_one(X0)) => divide_divide(X0,one_one(X0),divide_divide(X0,one_one(X0),X11)) = X11))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1910_unit__div__1__div__1)).
% 57.64/9.37 tff(f118404,plain,(
% 57.64/9.37 spl5880_5445 | ~spl5880_3772 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116885,f114695,f100445,f118402])).
% 57.64/9.37 tff(f118402,plain,(
% 57.64/9.37 spl5880_5445 <=> ! [X0 : nat] : vEBT_VEBT_valid(summary,X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5445])])).
% 57.64/9.37 tff(f100445,plain,(
% 57.64/9.37 spl5880_3772 <=> vEBT_VEBT_valid(summary,m)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3772])])).
% 57.64/9.37 tff(f116885,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (vEBT_VEBT_valid(summary,X0)) ) | (~spl5880_3772 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f100447,f114696])).
% 57.64/9.37 tff(f100447,plain,(
% 57.64/9.37 vEBT_VEBT_valid(summary,m) | ~spl5880_3772),
% 57.64/9.37 inference(avatar_component_clause,[],[f100445])).
% 57.64/9.37 tff(f118400,plain,(
% 57.64/9.37 spl5880_5444),
% 57.64/9.37 inference(avatar_split_clause,[],[f52216,f118398])).
% 57.64/9.37 tff(f118398,plain,(
% 57.64/9.37 spl5880_5444 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (modulo_modulo(X0,X3,X1) = modulo_modulo(X0,modulo_modulo(X0,X3,X2),X1) | ~dvd_dvd(X0,X1,X2) | ~euclid4440199948858584721cancel(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5444])])).
% 57.64/9.37 tff(f52216,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (modulo_modulo(X0,X3,X1) = modulo_modulo(X0,modulo_modulo(X0,X3,X2),X1) | ~dvd_dvd(X0,X1,X2) | ~euclid4440199948858584721cancel(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f29416])).
% 57.64/9.37 tff(f29416,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (modulo_modulo(X0,X3,X1) = modulo_modulo(X0,modulo_modulo(X0,X3,X2),X1) | ~dvd_dvd(X0,X1,X2)) | ~euclid4440199948858584721cancel(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23680])).
% 57.64/9.37 tff(f23680,plain,(
% 57.64/9.37 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,X2) => modulo_modulo(X0,X3,X1) = modulo_modulo(X0,modulo_modulo(X0,X3,X2),X1)))),
% 57.64/9.37 inference(rectify,[],[f1981])).
% 57.64/9.37 tff(f1981,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X17 : X0,X12 : X0,X11 : X0] : (dvd_dvd(X0,X17,X12) => modulo_modulo(X0,X11,X17) = modulo_modulo(X0,modulo_modulo(X0,X11,X12),X17)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1980_mod__mod__cancel)).
% 57.64/9.37 tff(f118396,plain,(
% 57.64/9.37 spl5880_5443),
% 57.64/9.37 inference(avatar_split_clause,[],[f52012,f118394])).
% 57.64/9.37 tff(f118394,plain,(
% 57.64/9.37 spl5880_5443 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2706(X0,X1)),X1)) | ~no_bot(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5443])])).
% 57.64/9.37 tff(f52012,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2706(X0,X1)),X1)) | ~no_bot(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39185])).
% 57.64/9.37 tff(f39185,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2706(X0,X1)),X1)) | ~no_bot(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2706])],[f29271,f39184])).
% 57.64/9.37 tff(f39184,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2706(X0,X1)),X1)))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f29271,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ~no_bot(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11080])).
% 57.64/9.37 tff(f11080,plain,(
% 57.64/9.37 ! [X0 : $tType] : (no_bot(X0) => ! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f11079])).
% 57.64/9.37 tff(f11079,plain,(
% 57.64/9.37 ! [X0 : $tType] : (no_bot(X0) => ! [X1 : X0] : ? [X2 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1))),
% 57.64/9.37 inference(rectify,[],[f2087])).
% 57.64/9.37 tff(f2087,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (no_bot(X0) => ! [X9 : X0] : ? [X52 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X52),X9))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2086_lt__ex)).
% 57.64/9.37 tff(f118392,plain,(
% 57.64/9.37 spl5880_5442),
% 57.64/9.37 inference(avatar_split_clause,[],[f52010,f118390])).
% 57.64/9.37 tff(f118390,plain,(
% 57.64/9.37 spl5880_5442 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,X2)) | ($true != aa(X0,$o,X1,sK2705(X0,X1))) | ~wellorder(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5442])])).
% 57.64/9.37 tff(f52010,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,X2)) | ($true != aa(X0,$o,X1,sK2705(X0,X1))) | ~wellorder(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39183])).
% 57.64/9.37 tff(f39183,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (($true = aa(X0,$o,X1,X2)) | (($true != aa(X0,$o,X1,sK2705(X0,X1))) & ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),sK2705(X0,X1)))))) | ~wellorder(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2705])],[f29269,f39182])).
% 57.64/9.37 tff(f39182,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)))) => (($true != aa(X0,$o,X1,sK2705(X0,X1))) & ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),sK2705(X0,X1))))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f29269,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (($true = aa(X0,$o,X1,X2)) | ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))))) | ~wellorder(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f11076])).
% 57.64/9.37 tff(f11076,plain,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,$o),X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) => ($true = aa(X0,$o,X1,X4))) => ($true = aa(X0,$o,X1,X3))) => ($true = aa(X0,$o,X1,X2))))),
% 57.64/9.37 inference(fool_elimination,[],[f11075])).
% 57.64/9.37 tff(f11075,plain,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,$o),X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3) => aa(X0,$o,X1,X4)) => aa(X0,$o,X1,X3)) => aa(X0,$o,X1,X2)))),
% 57.64/9.37 inference(rectify,[],[f2094])).
% 57.64/9.37 tff(f2094,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X26 : fun(X0,$o),X11 : X0] : (! [X29 : X0] : (! [X49 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X49),X29) => aa(X0,$o,X26,X49)) => aa(X0,$o,X26,X29)) => aa(X0,$o,X26,X11)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2093_less__induct)).
% 57.64/9.37 tff(f118388,plain,(
% 57.64/9.37 spl5880_5441),
% 57.64/9.37 inference(avatar_split_clause,[],[f52003,f118386])).
% 57.64/9.37 tff(f118386,plain,(
% 57.64/9.37 spl5880_5441 <=> ! [X0 : $tType,X1 : fun(X0,$o),X7 : X0] : (($true = aa(X0,$o,X1,sK2704(X0,X1))) | ($true != aa(X0,$o,X1,X7)) | ~wellorder(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5441])])).
% 57.64/9.37 tff(f52003,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : fun(X0,$o),X7 : X0] : (($true = aa(X0,$o,X1,sK2704(X0,X1))) | ($true != aa(X0,$o,X1,X7)) | ~wellorder(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f39181])).
% 57.64/9.37 tff(f39181,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((($true = aa(X0,$o,X1,sK2702(X0,X1))) | ! [X3 : X0] : ((($true = aa(X0,$o,X1,sK2703(X0,X1,X3))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2703(X0,X1,X3)),X3))) | ($true != aa(X0,$o,X1,X3)))) & ((! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),sK2704(X0,X1)))) & ($true = aa(X0,$o,X1,sK2704(X0,X1)))) | ! [X7 : X0] : ($true != aa(X0,$o,X1,X7)))) | ~wellorder(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2702,sK2703,sK2704])],[f39177,f39180,f39179,f39178])).
% 57.64/9.37 tff(f39178,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) => ($true = aa(X0,$o,X1,sK2702(X0,X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f39179,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o),X3 : X0] : (? [X4 : X0] : (($true = aa(X0,$o,X1,X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) => (($true = aa(X0,$o,X1,sK2703(X0,X1,X3))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2703(X0,X1,X3)),X3))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f39180,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X5 : X0] : (! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X5))) & ($true = aa(X0,$o,X1,X5))) => (! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),sK2704(X0,X1)))) & ($true = aa(X0,$o,X1,sK2704(X0,X1)))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f39177,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) | ! [X3 : X0] : (? [X4 : X0] : (($true = aa(X0,$o,X1,X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) | ($true != aa(X0,$o,X1,X3)))) & (? [X5 : X0] : (! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X5))) & ($true = aa(X0,$o,X1,X5))) | ! [X7 : X0] : ($true != aa(X0,$o,X1,X7)))) | ~wellorder(X0))),
% 57.64/9.37 inference(rectify,[],[f39176])).
% 57.64/9.37 tff(f39176,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) | ! [X3 : X0] : (? [X4 : X0] : (($true = aa(X0,$o,X1,X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) | ($true != aa(X0,$o,X1,X3)))) & (? [X3 : X0] : (! [X4 : X0] : (($true != aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) & ($true = aa(X0,$o,X1,X3))) | ! [X2 : X0] : ($true != aa(X0,$o,X1,X2)))) | ~wellorder(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f29266])).
% 57.64/9.37 tff(f29266,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : (? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) <=> ? [X3 : X0] : (! [X4 : X0] : (($true != aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) & ($true = aa(X0,$o,X1,X3)))) | ~wellorder(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23572])).
% 57.64/9.37 tff(f23572,plain,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,$o)] : (? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) => ($true != aa(X0,$o,X1,X4))) & ($true = aa(X0,$o,X1,X3)))))),
% 57.64/9.37 inference(flattening,[],[f11074])).
% 57.64/9.37 tff(f11074,plain,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,$o)] : (? [X2 : X0] : ($true = aa(X0,$o,X1,X2)) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) => ~($true = aa(X0,$o,X1,X4))) & ($true = aa(X0,$o,X1,X3)))))),
% 57.64/9.37 inference(fool_elimination,[],[f11073])).
% 57.64/9.37 tff(f11073,plain,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,$o)] : (? [X2 : X0] : aa(X0,$o,X1,X2) <=> ? [X3 : X0] : (! [X4 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3) => ~aa(X0,$o,X1,X4)) & aa(X0,$o,X1,X3))))),
% 57.64/9.37 inference(rectify,[],[f2099])).
% 57.64/9.37 tff(f2099,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (wellorder(X0) => ! [X26 : fun(X0,$o)] : (? [X23 : X0] : aa(X0,$o,X26,X23) <=> ? [X193 : X0] : (! [X165 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X165),X193) => ~aa(X0,$o,X26,X165)) & aa(X0,$o,X26,X193))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2098_exists__least__iff)).
% 57.64/9.37 tff(f118384,plain,(
% 57.64/9.37 spl5880_5440),
% 57.64/9.37 inference(avatar_split_clause,[],[f51424,f118382])).
% 57.64/9.37 tff(f118382,plain,(
% 57.64/9.37 spl5880_5440 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2639(X0,X1)),X1)) | ~linordered_field(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5440])])).
% 57.64/9.37 tff(f51424,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2639(X0,X1)),X1)) | ~linordered_field(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38970])).
% 57.64/9.37 tff(f38970,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2639(X0,X1)),X1)) | ~linordered_field(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2639])],[f28757,f38969])).
% 57.64/9.37 tff(f38969,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2639(X0,X1)),X1)))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f28757,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ~linordered_field(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f10613])).
% 57.64/9.37 tff(f10613,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)))),
% 57.64/9.37 inference(fool_elimination,[],[f10612])).
% 57.64/9.37 tff(f10612,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1))),
% 57.64/9.37 inference(rectify,[],[f138])).
% 57.64/9.37 tff(f138,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X50 : X0] : ? [X52 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X52),X50))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_linordered__field__no__lb)).
% 57.64/9.37 tff(f118380,plain,(
% 57.64/9.37 spl5880_5439),
% 57.64/9.37 inference(avatar_split_clause,[],[f51423,f118378])).
% 57.64/9.37 tff(f118378,plain,(
% 57.64/9.37 spl5880_5439 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2638(X0,X1))) | ~linordered_field(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5439])])).
% 57.64/9.37 tff(f51423,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2638(X0,X1))) | ~linordered_field(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38968])).
% 57.64/9.37 tff(f38968,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2638(X0,X1))) | ~linordered_field(X0))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2638])],[f28756,f38967])).
% 57.64/9.37 tff(f38967,plain,(
% 57.64/9.37 ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),sK2638(X0,X1))))),
% 57.64/9.37 introduced(choice_axiom,[])).
% 57.64/9.37 tff(f28756,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ~linordered_field(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f10611])).
% 57.64/9.37 tff(f10611,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))),
% 57.64/9.37 inference(fool_elimination,[],[f10610])).
% 57.64/9.37 tff(f10610,plain,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2))),
% 57.64/9.37 inference(rectify,[],[f137])).
% 57.64/9.37 tff(f137,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (linordered_field(X0) => ! [X50 : X0] : ? [X51 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X50),X51))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_linordered__field__no__ub)).
% 57.64/9.37 tff(f118376,plain,(
% 57.64/9.37 spl5880_5438),
% 57.64/9.37 inference(avatar_split_clause,[],[f51231,f118374])).
% 57.64/9.37 tff(f118374,plain,(
% 57.64/9.37 spl5880_5438 <=> ! [X0 : $tType,X1 : X0] : (finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_jv(X0,fun(X0,$o),X1))) | ~archim2362893244070406136eiling(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5438])])).
% 57.64/9.37 tff(f51231,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_jv(X0,fun(X0,$o),X1))) | ~archim2362893244070406136eiling(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f28588])).
% 57.64/9.37 tff(f28588,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_jv(X0,fun(X0,$o),X1))) | ~archim2362893244070406136eiling(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23356])).
% 57.64/9.37 tff(f23356,plain,(
% 57.64/9.37 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_jv(X0,fun(X0,$o),X1))))),
% 57.64/9.37 inference(rectify,[],[f4883])).
% 57.64/9.37 tff(f4883,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X11 : X0] : finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_jv(X0,fun(X0,$o),X11))))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4882_finite__abs__int__segment)).
% 57.64/9.37 tff(f118372,plain,(
% 57.64/9.37 spl5880_5437),
% 57.64/9.37 inference(avatar_split_clause,[],[f51200,f118370])).
% 57.64/9.37 tff(f118370,plain,(
% 57.64/9.37 spl5880_5437 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) != aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5437])])).
% 57.64/9.37 tff(f51200,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) != aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38918])).
% 57.64/9.37 tff(f38918,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2) | X1 != X2) & (X1 = X2 | aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) != aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2))) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f28564])).
% 57.64/9.37 tff(f28564,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2) <=> X1 = X2) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23338])).
% 57.64/9.37 tff(f23338,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X2) <=> X1 = X2))),
% 57.64/9.37 inference(rectify,[],[f5033])).
% 57.64/9.37 tff(f5033,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0,X18 : X0] : (aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X9) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X18) <=> X9 = X18))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5032_bit_Ocompl__eq__compl__iff)).
% 57.64/9.37 tff(f118368,plain,(
% 57.64/9.37 spl5880_5436),
% 57.64/9.37 inference(avatar_split_clause,[],[f51130,f118366])).
% 57.64/9.37 tff(f118366,plain,(
% 57.64/9.37 spl5880_5436 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5436])])).
% 57.64/9.37 tff(f51130,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f28496])).
% 57.64/9.37 tff(f28496,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23276])).
% 57.64/9.37 tff(f23276,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f2587])).
% 57.64/9.37 tff(f2587,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X9))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2586_bit_Oconj__zero__left)).
% 57.64/9.37 tff(f118364,plain,(
% 57.64/9.37 spl5880_5435),
% 57.64/9.37 inference(avatar_split_clause,[],[f51129,f118362])).
% 57.64/9.37 tff(f118362,plain,(
% 57.64/9.37 spl5880_5435 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5435])])).
% 57.64/9.37 tff(f51129,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f28495])).
% 57.64/9.37 tff(f28495,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23275])).
% 57.64/9.37 tff(f23275,plain,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)))),
% 57.64/9.37 inference(rectify,[],[f2588])).
% 57.64/9.37 tff(f2588,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X9),zero_zero(X0)))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2587_bit_Oconj__zero__right)).
% 57.64/9.37 tff(f118360,plain,(
% 57.64/9.37 spl5880_5434 | ~spl5880_3778 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116884,f114695,f100479,f118358])).
% 57.64/9.37 tff(f118358,plain,(
% 57.64/9.37 spl5880_5434 <=> ! [X0 : nat] : sP2108(summary,X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5434])])).
% 57.64/9.37 tff(f100479,plain,(
% 57.64/9.37 spl5880_3778 <=> sP2108(summary,m)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3778])])).
% 57.64/9.37 tff(f116884,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (sP2108(summary,X0)) ) | (~spl5880_3778 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f100481,f114696])).
% 57.64/9.37 tff(f100481,plain,(
% 57.64/9.37 sP2108(summary,m) | ~spl5880_3778),
% 57.64/9.37 inference(avatar_component_clause,[],[f100479])).
% 57.64/9.37 tff(f118356,plain,(
% 57.64/9.37 spl5880_5433),
% 57.64/9.37 inference(avatar_split_clause,[],[f50656,f118354])).
% 57.64/9.37 tff(f118354,plain,(
% 57.64/9.37 spl5880_5433 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5433])])).
% 57.64/9.37 tff(f50656,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f28151])).
% 57.64/9.37 tff(f28151,plain,(
% 57.64/9.37 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0))),
% 57.64/9.37 inference(ennf_transformation,[],[f23128])).
% 57.64/9.37 tff(f23128,plain,(
% 57.64/9.37 ! [X0 : $tType] : (comm_monoid_diff(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1))),
% 57.64/9.37 inference(rectify,[],[f868])).
% 57.64/9.37 tff(f868,axiom,(
% 57.64/9.37 ! [X0 : $tType] : (comm_monoid_diff(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X11))),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_867_zero__diff)).
% 57.64/9.37 tff(f118352,plain,(
% 57.64/9.37 spl5880_5432),
% 57.64/9.37 inference(avatar_split_clause,[],[f50360,f118350])).
% 57.64/9.37 tff(f118350,plain,(
% 57.64/9.37 spl5880_5432 <=> ! [X0 : real] : sin(real,X0) = sin(real,aa(real,real,aa(real,fun(real,real),minus_minus(real),pi),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5432])])).
% 57.64/9.37 tff(f50360,plain,(
% 57.64/9.37 ( ! [X0 : real] : (sin(real,X0) = sin(real,aa(real,real,aa(real,fun(real,real),minus_minus(real),pi),X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f22887])).
% 57.64/9.37 tff(f22887,plain,(
% 57.64/9.37 ! [X0 : real] : sin(real,X0) = sin(real,aa(real,real,aa(real,fun(real,real),minus_minus(real),pi),X0))),
% 57.64/9.37 inference(rectify,[],[f3487])).
% 57.64/9.37 tff(f3487,axiom,(
% 57.64/9.37 ! [X9 : real] : sin(real,aa(real,real,aa(real,fun(real,real),minus_minus(real),pi),X9)) = sin(real,X9)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3486_sin__pi__minus)).
% 57.64/9.37 tff(f118348,plain,(
% 57.64/9.37 spl5880_5431),
% 57.64/9.37 inference(avatar_split_clause,[],[f50358,f118346])).
% 57.64/9.37 tff(f118346,plain,(
% 57.64/9.37 spl5880_5431 <=> ! [X0 : nat] : aa(num,option(num),some(num),one2) = aa(nat,option(num),aTP_Lamp_abw(nat,option(num)),X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5431])])).
% 57.64/9.37 tff(f50358,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (aa(num,option(num),some(num),one2) = aa(nat,option(num),aTP_Lamp_abw(nat,option(num)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f22885])).
% 57.64/9.37 tff(f22885,plain,(
% 57.64/9.37 ! [X0 : nat] : aa(num,option(num),some(num),one2) = aa(nat,option(num),aTP_Lamp_abw(nat,option(num)),X0)),
% 57.64/9.37 inference(rectify,[],[f8229])).
% 57.64/9.37 tff(f8229,axiom,(
% 57.64/9.37 ! [X105 : nat] : aa(num,option(num),some(num),one2) = aa(nat,option(num),aTP_Lamp_abw(nat,option(num)),X105)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8228_ATP_Olambda__48)).
% 57.64/9.37 tff(f118344,plain,(
% 57.64/9.37 spl5880_5430),
% 57.64/9.37 inference(avatar_split_clause,[],[f49191,f118342])).
% 57.64/9.37 tff(f118342,plain,(
% 57.64/9.37 spl5880_5430 <=> ! [X1 : nat] : (zero_zero(real) = iG297(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5430])])).
% 57.64/9.37 tff(f49191,plain,(
% 57.64/9.37 ( ! [X1 : nat] : (zero_zero(real) = iG297(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f28111])).
% 57.64/9.37 tff(f28111,plain,(
% 57.64/9.37 ! [X0 : nat] : (divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG297(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X1 : nat] : (zero_zero(real) = iG297(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))),
% 57.64/9.37 inference(ennf_transformation,[],[f22678])).
% 57.64/9.37 tff(f22678,plain,(
% 57.64/9.37 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG297(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(real) = iG297(X1))),
% 57.64/9.37 inference(flattening,[],[f22677])).
% 57.64/9.37 tff(f22677,plain,(
% 57.64/9.37 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG297(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(real) = iG297(X1))),
% 57.64/9.37 inference(rectify,[],[f9907])).
% 57.64/9.37 tff(f9907,plain,(
% 57.64/9.37 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG297(X0)) & ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG297(X0))),
% 57.64/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG297])])).
% 57.64/9.37 tff(f118340,plain,(
% 57.64/9.37 spl5880_5429),
% 57.64/9.37 inference(avatar_split_clause,[],[f48980,f118338])).
% 57.64/9.37 tff(f118338,plain,(
% 57.64/9.37 spl5880_5429 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG407(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5429])])).
% 57.64/9.37 tff(f48980,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG407(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38663])).
% 57.64/9.37 tff(f38663,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG407(X1,X0))) & (($true = bG407(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22504])).
% 57.64/9.37 tff(f22504,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG407(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11097])).
% 57.64/9.37 tff(f11097,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG407(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG407])])).
% 57.64/9.37 tff(f118336,plain,(
% 57.64/9.37 spl5880_5428),
% 57.64/9.37 inference(avatar_split_clause,[],[f48979,f118334])).
% 57.64/9.37 tff(f118334,plain,(
% 57.64/9.37 spl5880_5428 <=> ! [X1 : $tType,X0 : X1] : (($true = bG407(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5428])])).
% 57.64/9.37 tff(f48979,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG407(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38663])).
% 57.64/9.37 tff(f118332,plain,(
% 57.64/9.37 spl5880_5427),
% 57.64/9.37 inference(avatar_split_clause,[],[f48967,f118330])).
% 57.64/9.37 tff(f118330,plain,(
% 57.64/9.37 spl5880_5427 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG413(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5427])])).
% 57.64/9.37 tff(f48967,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG413(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38656])).
% 57.64/9.37 tff(f38656,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG413(X1,X0))) & (($true = bG413(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22498])).
% 57.64/9.37 tff(f22498,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG413(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11137])).
% 57.64/9.37 tff(f11137,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG413(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG413])])).
% 57.64/9.37 tff(f118328,plain,(
% 57.64/9.37 spl5880_5426),
% 57.64/9.37 inference(avatar_split_clause,[],[f48966,f118326])).
% 57.64/9.37 tff(f118326,plain,(
% 57.64/9.37 spl5880_5426 <=> ! [X1 : $tType,X0 : X1] : (($true = bG413(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5426])])).
% 57.64/9.37 tff(f48966,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG413(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38656])).
% 57.64/9.37 tff(f118324,plain,(
% 57.64/9.37 spl5880_5425),
% 57.64/9.37 inference(avatar_split_clause,[],[f48947,f118322])).
% 57.64/9.37 tff(f118322,plain,(
% 57.64/9.37 spl5880_5425 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG423(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5425])])).
% 57.64/9.37 tff(f48947,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG423(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38654])).
% 57.64/9.37 tff(f38654,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG423(X1,X0))) & (($true = bG423(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22480])).
% 57.64/9.37 tff(f22480,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG423(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11205])).
% 57.64/9.37 tff(f11205,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG423(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG423])])).
% 57.64/9.37 tff(f118320,plain,(
% 57.64/9.37 spl5880_5424),
% 57.64/9.37 inference(avatar_split_clause,[],[f48946,f118318])).
% 57.64/9.37 tff(f118318,plain,(
% 57.64/9.37 spl5880_5424 <=> ! [X1 : $tType,X0 : X1] : (($true = bG423(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5424])])).
% 57.64/9.37 tff(f48946,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG423(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38654])).
% 57.64/9.37 tff(f118316,plain,(
% 57.64/9.37 spl5880_5423 | ~spl5880_2364 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116881,f114695,f90473,f118314])).
% 57.64/9.37 tff(f118314,plain,(
% 57.64/9.37 spl5880_5423 <=> ! [X0 : int,X1 : nat] : iG983(X0,X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5423])])).
% 57.64/9.37 tff(f90473,plain,(
% 57.64/9.37 spl5880_2364 <=> ! [X0 : int] : iG983(X0,aa(int,nat,nat2,X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2364])])).
% 57.64/9.37 tff(f116881,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : nat] : (iG983(X0,X1)) ) | (~spl5880_2364 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f90474,f114696])).
% 57.64/9.37 tff(f90474,plain,(
% 57.64/9.37 ( ! [X0 : int] : (iG983(X0,aa(int,nat,nat2,X0))) ) | ~spl5880_2364),
% 57.64/9.37 inference(avatar_component_clause,[],[f90473])).
% 57.64/9.37 tff(f118312,plain,(
% 57.64/9.37 spl5880_5422),
% 57.64/9.37 inference(avatar_split_clause,[],[f48900,f118310])).
% 57.64/9.37 tff(f118310,plain,(
% 57.64/9.37 spl5880_5422 <=> ! [X1 : $tType,X0 : num,X3 : X1,X2 : X1] : (zero_zero(X1) = X2 | ~iG441(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5422])])).
% 57.64/9.37 tff(f48900,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG441(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38649])).
% 57.64/9.37 tff(f38649,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG441(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG441(X1,X0,X2,X3))) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG441(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG441(X5,X4,X6,X7))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 57.64/9.37 inference(nnf_transformation,[],[f28001])).
% 57.64/9.37 tff(f28001,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG441(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG441(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 57.64/9.37 inference(ennf_transformation,[],[f22447])).
% 57.64/9.37 tff(f22447,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) => (iG441(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG441(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 57.64/9.37 inference(flattening,[],[f22446])).
% 57.64/9.37 tff(f22446,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) => (iG441(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG441(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 57.64/9.37 inference(rectify,[],[f11307])).
% 57.64/9.37 tff(f118308,plain,(
% 57.64/9.37 spl5880_5421),
% 57.64/9.37 inference(avatar_split_clause,[],[f48896,f118306])).
% 57.64/9.37 tff(f118306,plain,(
% 57.64/9.37 spl5880_5421 <=> ! [X1 : $tType,X0 : num,X3 : X1,X2 : X1] : (zero_zero(X1) = X2 | ~iG442(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5421])])).
% 57.64/9.37 tff(f48896,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG442(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38648])).
% 57.64/9.37 tff(f38648,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG442(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG442(X1,X0,X2,X3))) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG442(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG442(X5,X4,X6,X7))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 57.64/9.37 inference(nnf_transformation,[],[f28000])).
% 57.64/9.37 tff(f28000,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG442(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG442(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 57.64/9.37 inference(ennf_transformation,[],[f22445])).
% 57.64/9.37 tff(f22445,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) => (iG442(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG442(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 57.64/9.37 inference(flattening,[],[f22444])).
% 57.64/9.37 tff(f22444,plain,(
% 57.64/9.37 ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) => (iG442(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG442(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 57.64/9.37 inference(rectify,[],[f11310])).
% 57.64/9.37 tff(f118304,plain,(
% 57.64/9.37 spl5880_5420),
% 57.64/9.37 inference(avatar_split_clause,[],[f48869,f118302])).
% 57.64/9.37 tff(f118302,plain,(
% 57.64/9.37 spl5880_5420 <=> ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG449(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5420])])).
% 57.64/9.37 tff(f48869,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG449(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38641])).
% 57.64/9.37 tff(f38641,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG449(X1,X0))) & (($true = bG449(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22431])).
% 57.64/9.37 tff(f22431,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG449(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11331])).
% 57.64/9.37 tff(f11331,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG449(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG449])])).
% 57.64/9.37 tff(f118300,plain,(
% 57.64/9.37 spl5880_5419),
% 57.64/9.37 inference(avatar_split_clause,[],[f48868,f118298])).
% 57.64/9.37 tff(f118298,plain,(
% 57.64/9.37 spl5880_5419 <=> ! [X1 : $tType,X0 : X1] : (($true = bG449(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5419])])).
% 57.64/9.37 tff(f48868,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG449(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38641])).
% 57.64/9.37 tff(f118296,plain,(
% 57.64/9.37 spl5880_5418),
% 57.64/9.37 inference(avatar_split_clause,[],[f48865,f118294])).
% 57.64/9.37 tff(f118294,plain,(
% 57.64/9.37 spl5880_5418 <=> ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG451(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5418])])).
% 57.64/9.37 tff(f48865,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG451(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38639])).
% 57.64/9.37 tff(f38639,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG451(X1,X0))) & (($true = bG451(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22429])).
% 57.64/9.37 tff(f22429,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG451(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11337])).
% 57.64/9.37 tff(f11337,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG451(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG451])])).
% 57.64/9.37 tff(f118292,plain,(
% 57.64/9.37 spl5880_5417),
% 57.64/9.37 inference(avatar_split_clause,[],[f48864,f118290])).
% 57.64/9.37 tff(f118290,plain,(
% 57.64/9.37 spl5880_5417 <=> ! [X1 : $tType,X0 : X1] : (($true = bG451(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5417])])).
% 57.64/9.37 tff(f48864,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG451(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38639])).
% 57.64/9.37 tff(f118288,plain,(
% 57.64/9.37 spl5880_5416),
% 57.64/9.37 inference(avatar_split_clause,[],[f48863,f118286])).
% 57.64/9.37 tff(f118286,plain,(
% 57.64/9.37 spl5880_5416 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG452(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5416])])).
% 57.64/9.37 tff(f48863,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG452(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38638])).
% 57.64/9.37 tff(f38638,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG452(X1,X0))) & (($true = bG452(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22428])).
% 57.64/9.37 tff(f22428,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG452(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11338])).
% 57.64/9.37 tff(f11338,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG452(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG452])])).
% 57.64/9.37 tff(f118284,plain,(
% 57.64/9.37 spl5880_5415),
% 57.64/9.37 inference(avatar_split_clause,[],[f48862,f118282])).
% 57.64/9.37 tff(f118282,plain,(
% 57.64/9.37 spl5880_5415 <=> ! [X1 : $tType,X0 : X1] : (($true = bG452(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5415])])).
% 57.64/9.37 tff(f48862,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG452(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38638])).
% 57.64/9.37 tff(f118280,plain,(
% 57.64/9.37 spl5880_5414),
% 57.64/9.37 inference(avatar_split_clause,[],[f48861,f118278])).
% 57.64/9.37 tff(f118278,plain,(
% 57.64/9.37 spl5880_5414 <=> ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG453(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5414])])).
% 57.64/9.37 tff(f48861,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG453(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38637])).
% 57.64/9.37 tff(f38637,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG453(X1,X0))) & (($true = bG453(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22427])).
% 57.64/9.37 tff(f22427,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG453(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11341])).
% 57.64/9.37 tff(f11341,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG453(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG453])])).
% 57.64/9.37 tff(f118276,plain,(
% 57.64/9.37 spl5880_5413),
% 57.64/9.37 inference(avatar_split_clause,[],[f48860,f118274])).
% 57.64/9.37 tff(f118274,plain,(
% 57.64/9.37 spl5880_5413 <=> ! [X1 : $tType,X0 : X1] : (($true = bG453(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5413])])).
% 57.64/9.37 tff(f48860,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG453(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38637])).
% 57.64/9.37 tff(f118272,plain,(
% 57.64/9.37 spl5880_5412 | ~spl5880_2365 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116880,f114695,f90477,f118270])).
% 57.64/9.37 tff(f118270,plain,(
% 57.64/9.37 spl5880_5412 <=> ! [X0 : int,X1 : nat] : iG984(X0,X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5412])])).
% 57.64/9.37 tff(f90477,plain,(
% 57.64/9.37 spl5880_2365 <=> ! [X1 : int] : iG984(X1,aa(int,nat,nat2,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2365])])).
% 57.64/9.37 tff(f116880,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : nat] : (iG984(X0,X1)) ) | (~spl5880_2365 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f90478,f114696])).
% 57.64/9.37 tff(f90478,plain,(
% 57.64/9.37 ( ! [X1 : int] : (iG984(X1,aa(int,nat,nat2,X1))) ) | ~spl5880_2365),
% 57.64/9.37 inference(avatar_component_clause,[],[f90477])).
% 57.64/9.37 tff(f118268,plain,(
% 57.64/9.37 spl5880_5411),
% 57.64/9.37 inference(avatar_split_clause,[],[f48859,f118266])).
% 57.64/9.37 tff(f118266,plain,(
% 57.64/9.37 spl5880_5411 <=> ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG454(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5411])])).
% 57.64/9.37 tff(f48859,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG454(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38636])).
% 57.64/9.37 tff(f38636,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG454(X1,X0))) & (($true = bG454(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22426])).
% 57.64/9.37 tff(f22426,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG454(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11344])).
% 57.64/9.37 tff(f11344,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG454(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG454])])).
% 57.64/9.37 tff(f118264,plain,(
% 57.64/9.37 spl5880_5410),
% 57.64/9.37 inference(avatar_split_clause,[],[f48858,f118262])).
% 57.64/9.37 tff(f118262,plain,(
% 57.64/9.37 spl5880_5410 <=> ! [X1 : $tType,X0 : X1] : (($true = bG454(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5410])])).
% 57.64/9.37 tff(f48858,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG454(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38636])).
% 57.64/9.37 tff(f118260,plain,(
% 57.64/9.37 spl5880_5409),
% 57.64/9.37 inference(avatar_split_clause,[],[f48857,f118258])).
% 57.64/9.37 tff(f118258,plain,(
% 57.64/9.37 spl5880_5409 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG455(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5409])])).
% 57.64/9.37 tff(f48857,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG455(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38635])).
% 57.64/9.37 tff(f38635,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG455(X1,X0))) & (($true = bG455(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22425])).
% 57.64/9.37 tff(f22425,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG455(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11345])).
% 57.64/9.37 tff(f11345,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG455(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG455])])).
% 57.64/9.37 tff(f118256,plain,(
% 57.64/9.37 spl5880_5408),
% 57.64/9.37 inference(avatar_split_clause,[],[f48856,f118254])).
% 57.64/9.37 tff(f118254,plain,(
% 57.64/9.37 spl5880_5408 <=> ! [X1 : $tType,X0 : X1] : (($true = bG455(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5408])])).
% 57.64/9.37 tff(f48856,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG455(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38635])).
% 57.64/9.37 tff(f118252,plain,(
% 57.64/9.37 spl5880_5407),
% 57.64/9.37 inference(avatar_split_clause,[],[f48855,f118250])).
% 57.64/9.37 tff(f118250,plain,(
% 57.64/9.37 spl5880_5407 <=> ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG456(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5407])])).
% 57.64/9.37 tff(f48855,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG456(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38634])).
% 57.64/9.37 tff(f38634,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG456(X1,X0))) & (($true = bG456(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22424])).
% 57.64/9.37 tff(f22424,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG456(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11348])).
% 57.64/9.37 tff(f11348,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG456(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG456])])).
% 57.64/9.37 tff(f118248,plain,(
% 57.64/9.37 spl5880_5406),
% 57.64/9.37 inference(avatar_split_clause,[],[f48854,f118246])).
% 57.64/9.37 tff(f118246,plain,(
% 57.64/9.37 spl5880_5406 <=> ! [X1 : $tType,X0 : X1] : (($true = bG456(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5406])])).
% 57.64/9.37 tff(f48854,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG456(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38634])).
% 57.64/9.37 tff(f118244,plain,(
% 57.64/9.37 spl5880_5405),
% 57.64/9.37 inference(avatar_split_clause,[],[f48834,f118242])).
% 57.64/9.37 tff(f118242,plain,(
% 57.64/9.37 spl5880_5405 <=> ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG466(X1,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5405])])).
% 57.64/9.37 tff(f48834,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG466(X1,X0))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38630])).
% 57.64/9.37 tff(f38630,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG466(X1,X0))) & (($true = bG466(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 57.64/9.37 inference(nnf_transformation,[],[f22407])).
% 57.64/9.37 tff(f22407,plain,(
% 57.64/9.37 ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG466(X1,X0)))),
% 57.64/9.37 inference(rectify,[],[f11390])).
% 57.64/9.37 tff(f11390,plain,(
% 57.64/9.37 ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG466(X0,X1)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG466])])).
% 57.64/9.37 tff(f118240,plain,(
% 57.64/9.37 spl5880_5404),
% 57.64/9.37 inference(avatar_split_clause,[],[f48833,f118238])).
% 57.64/9.37 tff(f118238,plain,(
% 57.64/9.37 spl5880_5404 <=> ! [X1 : $tType,X0 : X1] : (($true = bG466(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5404])])).
% 57.64/9.37 tff(f48833,plain,(
% 57.64/9.37 ( ! [X1 : $tType,X0 : X1] : (($true = bG466(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38630])).
% 57.64/9.37 tff(f118221,plain,(
% 57.64/9.37 spl5880_5403 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5401),
% 57.64/9.37 inference(avatar_split_clause,[],[f118213,f118209,f111730,f86419,f79998,f118219])).
% 57.64/9.37 tff(f118219,plain,(
% 57.64/9.37 spl5880_5403 <=> ! [X0 : int,X1 : int] : (dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true = bG669(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5403])])).
% 57.64/9.37 tff(f79998,plain,(
% 57.64/9.37 spl5880_311 <=> neg_numeral(int)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_311])])).
% 57.64/9.37 tff(f86419,plain,(
% 57.64/9.37 spl5880_1558 <=> numeral_numeral(int) = code_Target_positive),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1558])])).
% 57.64/9.37 tff(f111730,plain,(
% 57.64/9.37 spl5880_5071 <=> ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)) = neg_numeral_dbl(X0,one_one(X0)) | ~neg_numeral(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5071])])).
% 57.64/9.37 tff(f118209,plain,(
% 57.64/9.37 spl5880_5401 <=> ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5401])])).
% 57.64/9.37 tff(f118213,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true = bG669(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5401)),
% 57.64/9.37 inference(forward_demodulation,[],[f118212,f113486])).
% 57.64/9.37 tff(f113486,plain,(
% 57.64/9.37 aa(num,int,code_Target_positive,aa(num,num,bit0,one2)) = neg_numeral_dbl(int,one_one(int)) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071)),
% 57.64/9.37 inference(forward_demodulation,[],[f113483,f86421])).
% 57.64/9.37 tff(f86421,plain,(
% 57.64/9.37 numeral_numeral(int) = code_Target_positive | ~spl5880_1558),
% 57.64/9.37 inference(avatar_component_clause,[],[f86419])).
% 57.64/9.37 tff(f113483,plain,(
% 57.64/9.37 aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)) = neg_numeral_dbl(int,one_one(int)) | (~spl5880_311 | ~spl5880_5071)),
% 57.64/9.37 inference(resolution,[],[f111731,f80000])).
% 57.64/9.37 tff(f80000,plain,(
% 57.64/9.37 neg_numeral(int) | ~spl5880_311),
% 57.64/9.37 inference(avatar_component_clause,[],[f79998])).
% 57.64/9.37 tff(f111731,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : (~neg_numeral(X0) | aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)) = neg_numeral_dbl(X0,one_one(X0))) ) | ~spl5880_5071),
% 57.64/9.37 inference(avatar_component_clause,[],[f111730])).
% 57.64/9.37 tff(f118212,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true = bG669(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5401)),
% 57.64/9.37 inference(forward_demodulation,[],[f118210,f86421])).
% 57.64/9.37 tff(f118210,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5401),
% 57.64/9.37 inference(avatar_component_clause,[],[f118209])).
% 57.64/9.37 tff(f118217,plain,(
% 57.64/9.37 spl5880_5402 | ~spl5880_2245 | ~spl5880_5330),
% 57.64/9.37 inference(avatar_split_clause,[],[f116845,f114695,f89945,f118215])).
% 57.64/9.37 tff(f89945,plain,(
% 57.64/9.37 spl5880_2245 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2245])])).
% 57.64/9.37 tff(f116845,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : nat] : (X0 != X1) ) | (~spl5880_2245 | ~spl5880_5330)),
% 57.64/9.37 inference(superposition,[],[f89946,f114696])).
% 57.64/9.37 tff(f89946,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != X0) ) | ~spl5880_2245),
% 57.64/9.37 inference(avatar_component_clause,[],[f89945])).
% 57.64/9.37 tff(f118211,plain,(
% 57.64/9.37 spl5880_5401),
% 57.64/9.37 inference(avatar_split_clause,[],[f48423,f118209])).
% 57.64/9.37 tff(f48423,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38538])).
% 57.64/9.37 tff(f38538,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG669(X0,X1))) & (($true = bG669(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(flattening,[],[f38537])).
% 57.64/9.37 tff(f38537,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG669(X0,X1))) & (($true = bG669(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f22108])).
% 57.64/9.37 tff(f22108,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG669(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f14689])).
% 57.64/9.37 tff(f14689,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG669(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG669])])).
% 57.64/9.37 tff(f118192,plain,(
% 57.64/9.37 spl5880_5400 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5399),
% 57.64/9.37 inference(avatar_split_clause,[],[f118188,f118184,f111730,f86419,f79998,f118190])).
% 57.64/9.37 tff(f118190,plain,(
% 57.64/9.37 spl5880_5400 <=> ! [X0 : int,X1 : int] : (dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true = bG669(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5400])])).
% 57.64/9.37 tff(f118184,plain,(
% 57.64/9.37 spl5880_5399 <=> ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5399])])).
% 57.64/9.37 tff(f118188,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true = bG669(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5399)),
% 57.64/9.37 inference(forward_demodulation,[],[f118187,f113486])).
% 57.64/9.37 tff(f118187,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X1) | ($true = bG669(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5399)),
% 57.64/9.37 inference(forward_demodulation,[],[f118185,f86421])).
% 57.64/9.37 tff(f118185,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) ) | ~spl5880_5399),
% 57.64/9.37 inference(avatar_component_clause,[],[f118184])).
% 57.64/9.37 tff(f118186,plain,(
% 57.64/9.37 spl5880_5399),
% 57.64/9.37 inference(avatar_split_clause,[],[f48422,f118184])).
% 57.64/9.37 tff(f48422,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (($true = bG669(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38538])).
% 57.64/9.37 tff(f118180,plain,(
% 57.64/9.37 spl5880_5398 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5397),
% 57.64/9.37 inference(avatar_split_clause,[],[f118176,f118172,f111730,f86419,f79998,f118178])).
% 57.64/9.37 tff(f118178,plain,(
% 57.64/9.37 spl5880_5398 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG670(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5398])])).
% 57.64/9.37 tff(f118172,plain,(
% 57.64/9.37 spl5880_5397 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG670(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5397])])).
% 57.64/9.37 tff(f118176,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG670(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5397)),
% 57.64/9.37 inference(forward_demodulation,[],[f118175,f113486])).
% 57.64/9.37 tff(f118175,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG670(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5397)),
% 57.64/9.37 inference(forward_demodulation,[],[f118173,f86421])).
% 57.64/9.37 tff(f118173,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG670(X0,X1))) ) | ~spl5880_5397),
% 57.64/9.37 inference(avatar_component_clause,[],[f118172])).
% 57.64/9.37 tff(f118174,plain,(
% 57.64/9.37 spl5880_5397),
% 57.64/9.37 inference(avatar_split_clause,[],[f48421,f118172])).
% 57.64/9.37 tff(f48421,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG670(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38536])).
% 57.64/9.37 tff(f38536,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG670(X0,X1))) & (($true = bG670(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38535])).
% 57.64/9.37 tff(f38535,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG670(X0,X1))) & (($true = bG670(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f22107])).
% 57.64/9.37 tff(f22107,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG670(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f14692])).
% 57.64/9.37 tff(f14692,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG670(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG670])])).
% 57.64/9.37 tff(f118168,plain,(
% 57.64/9.37 spl5880_5396 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5395),
% 57.64/9.37 inference(avatar_split_clause,[],[f118164,f118160,f111730,f86419,f79998,f118166])).
% 57.64/9.37 tff(f118166,plain,(
% 57.64/9.37 spl5880_5396 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG670(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5396])])).
% 57.64/9.37 tff(f118160,plain,(
% 57.64/9.37 spl5880_5395 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG670(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5395])])).
% 57.64/9.37 tff(f118164,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG670(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5395)),
% 57.64/9.37 inference(forward_demodulation,[],[f118163,f113486])).
% 57.64/9.37 tff(f118163,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X1) | ($true != bG670(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5395)),
% 57.64/9.37 inference(forward_demodulation,[],[f118161,f86421])).
% 57.64/9.37 tff(f118161,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG670(X0,X1))) ) | ~spl5880_5395),
% 57.64/9.37 inference(avatar_component_clause,[],[f118160])).
% 57.64/9.37 tff(f118162,plain,(
% 57.64/9.37 spl5880_5395),
% 57.64/9.37 inference(avatar_split_clause,[],[f48420,f118160])).
% 57.64/9.37 tff(f48420,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG670(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38536])).
% 57.64/9.37 tff(f118152,plain,(
% 57.64/9.37 spl5880_5394 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5393),
% 57.64/9.37 inference(avatar_split_clause,[],[f118148,f118144,f111730,f86419,f79998,f118150])).
% 57.64/9.37 tff(f118150,plain,(
% 57.64/9.37 spl5880_5394 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG671(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5394])])).
% 57.64/9.37 tff(f118144,plain,(
% 57.64/9.37 spl5880_5393 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG671(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5393])])).
% 57.64/9.37 tff(f118148,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG671(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5393)),
% 57.64/9.37 inference(forward_demodulation,[],[f118147,f113486])).
% 57.64/9.37 tff(f118147,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG671(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5393)),
% 57.64/9.37 inference(forward_demodulation,[],[f118145,f86421])).
% 57.64/9.37 tff(f118145,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG671(X0,X1))) ) | ~spl5880_5393),
% 57.64/9.37 inference(avatar_component_clause,[],[f118144])).
% 57.64/9.37 tff(f118146,plain,(
% 57.64/9.37 spl5880_5393),
% 57.64/9.37 inference(avatar_split_clause,[],[f48418,f118144])).
% 57.64/9.37 tff(f48418,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG671(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38534])).
% 57.64/9.37 tff(f38534,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG671(X0,X1))) & (($true = bG671(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38533])).
% 57.64/9.37 tff(f38533,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG671(X0,X1))) & (($true = bG671(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f22106])).
% 57.64/9.37 tff(f22106,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG671(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f14693])).
% 57.64/9.37 tff(f14693,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG671(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG671])])).
% 57.64/9.37 tff(f118140,plain,(
% 57.64/9.37 spl5880_5392 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5391),
% 57.64/9.37 inference(avatar_split_clause,[],[f118136,f118132,f111730,f86419,f79998,f118138])).
% 57.64/9.37 tff(f118138,plain,(
% 57.64/9.37 spl5880_5392 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG671(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5392])])).
% 57.64/9.37 tff(f118132,plain,(
% 57.64/9.37 spl5880_5391 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG671(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5391])])).
% 57.64/9.37 tff(f118136,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG671(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5391)),
% 57.64/9.37 inference(forward_demodulation,[],[f118135,f113486])).
% 57.64/9.37 tff(f118135,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X1) | ($true != bG671(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5391)),
% 57.64/9.37 inference(forward_demodulation,[],[f118133,f86421])).
% 57.64/9.37 tff(f118133,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG671(X0,X1))) ) | ~spl5880_5391),
% 57.64/9.37 inference(avatar_component_clause,[],[f118132])).
% 57.64/9.37 tff(f118134,plain,(
% 57.64/9.37 spl5880_5391),
% 57.64/9.37 inference(avatar_split_clause,[],[f48417,f118132])).
% 57.64/9.37 tff(f48417,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG671(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38534])).
% 57.64/9.37 tff(f118128,plain,(
% 57.64/9.37 spl5880_5390 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5389),
% 57.64/9.37 inference(avatar_split_clause,[],[f118124,f118120,f111730,f86419,f79998,f118126])).
% 57.64/9.37 tff(f118126,plain,(
% 57.64/9.37 spl5880_5390 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG676(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5390])])).
% 57.64/9.37 tff(f118120,plain,(
% 57.64/9.37 spl5880_5389 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG676(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5389])])).
% 57.64/9.37 tff(f118124,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG676(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5389)),
% 57.64/9.37 inference(forward_demodulation,[],[f118123,f113486])).
% 57.64/9.37 tff(f118123,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG676(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5389)),
% 57.64/9.37 inference(forward_demodulation,[],[f118121,f86421])).
% 57.64/9.37 tff(f118121,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG676(X0,X1))) ) | ~spl5880_5389),
% 57.64/9.37 inference(avatar_component_clause,[],[f118120])).
% 57.64/9.37 tff(f118122,plain,(
% 57.64/9.37 spl5880_5389),
% 57.64/9.37 inference(avatar_split_clause,[],[f48405,f118120])).
% 57.64/9.37 tff(f48405,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG676(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38532])).
% 57.64/9.37 tff(f38532,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG676(X0,X1))) & (($true = bG676(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38531])).
% 57.64/9.37 tff(f38531,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG676(X0,X1))) & (($true = bG676(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f22099])).
% 57.64/9.37 tff(f22099,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG676(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f14702])).
% 57.64/9.37 tff(f14702,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG676(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG676])])).
% 57.64/9.37 tff(f118112,plain,(
% 57.64/9.37 spl5880_5388 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5387),
% 57.64/9.37 inference(avatar_split_clause,[],[f118108,f118104,f111730,f86419,f79998,f118110])).
% 57.64/9.37 tff(f118110,plain,(
% 57.64/9.37 spl5880_5388 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG676(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5388])])).
% 57.64/9.37 tff(f118104,plain,(
% 57.64/9.37 spl5880_5387 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG676(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5387])])).
% 57.64/9.37 tff(f118108,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG676(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5387)),
% 57.64/9.37 inference(forward_demodulation,[],[f118107,f113486])).
% 57.64/9.37 tff(f118107,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X1) | ($true != bG676(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5387)),
% 57.64/9.37 inference(forward_demodulation,[],[f118105,f86421])).
% 57.64/9.37 tff(f118105,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG676(X0,X1))) ) | ~spl5880_5387),
% 57.64/9.37 inference(avatar_component_clause,[],[f118104])).
% 57.64/9.37 tff(f118106,plain,(
% 57.64/9.37 spl5880_5387),
% 57.64/9.37 inference(avatar_split_clause,[],[f48404,f118104])).
% 57.64/9.37 tff(f48404,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG676(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38532])).
% 57.64/9.37 tff(f118102,plain,(
% 57.64/9.37 spl5880_5386),
% 57.64/9.37 inference(avatar_split_clause,[],[f48380,f118100])).
% 57.64/9.37 tff(f118100,plain,(
% 57.64/9.37 spl5880_5386 <=> ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG686(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5386])])).
% 57.64/9.37 tff(f48380,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG686(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38526])).
% 57.64/9.37 tff(f38526,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat] : (((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ($true != bG686(X0,X1))) & (($true = bG686(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38525])).
% 57.64/9.37 tff(f38525,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat] : (((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ($true != bG686(X0,X1))) & (($true = bG686(X0,X1)) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f22084])).
% 57.64/9.37 tff(f22084,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) <=> ($true = bG686(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f14728])).
% 57.64/9.37 tff(f14728,plain,(
% 57.64/9.37 ! [X1 : nat,X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) <=> ($true = bG686(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG686])])).
% 57.64/9.37 tff(f118098,plain,(
% 57.64/9.37 spl5880_5385),
% 57.64/9.37 inference(avatar_split_clause,[],[f48379,f118096])).
% 57.64/9.37 tff(f118096,plain,(
% 57.64/9.37 spl5880_5385 <=> ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG686(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5385])])).
% 57.64/9.37 tff(f48379,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG686(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38526])).
% 57.64/9.37 tff(f118092,plain,(
% 57.64/9.37 spl5880_5384 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5383),
% 57.64/9.37 inference(avatar_split_clause,[],[f118088,f118084,f111730,f86419,f79998,f118090])).
% 57.64/9.37 tff(f118090,plain,(
% 57.64/9.37 spl5880_5384 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG978(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5384])])).
% 57.64/9.37 tff(f118084,plain,(
% 57.64/9.37 spl5880_5383 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG978(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5383])])).
% 57.64/9.37 tff(f118088,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X0) | ($true != bG978(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5383)),
% 57.64/9.37 inference(forward_demodulation,[],[f118087,f113486])).
% 57.64/9.37 tff(f118087,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG978(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5383)),
% 57.64/9.37 inference(forward_demodulation,[],[f118085,f86421])).
% 57.64/9.37 tff(f118085,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG978(X0,X1))) ) | ~spl5880_5383),
% 57.64/9.37 inference(avatar_component_clause,[],[f118084])).
% 57.64/9.37 tff(f118086,plain,(
% 57.64/9.37 spl5880_5383),
% 57.64/9.37 inference(avatar_split_clause,[],[f47766,f118084])).
% 57.64/9.37 tff(f47766,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG978(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38313])).
% 57.64/9.37 tff(f38313,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG978(X0,X1))) & (($true = bG978(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38312])).
% 57.64/9.37 tff(f38312,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG978(X0,X1))) & (($true = bG978(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21664])).
% 57.64/9.37 tff(f21664,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG978(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f16522])).
% 57.64/9.37 tff(f16522,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG978(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG978])])).
% 57.64/9.37 tff(f118080,plain,(
% 57.64/9.37 spl5880_5382 | ~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5381),
% 57.64/9.37 inference(avatar_split_clause,[],[f118076,f118072,f111730,f86419,f79998,f118078])).
% 57.64/9.37 tff(f118078,plain,(
% 57.64/9.37 spl5880_5382 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG978(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5382])])).
% 57.64/9.37 tff(f118072,plain,(
% 57.64/9.37 spl5880_5381 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG978(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5381])])).
% 57.64/9.37 tff(f118076,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,neg_numeral_dbl(int,one_one(int)),X1) | ($true != bG978(X0,X1))) ) | (~spl5880_311 | ~spl5880_1558 | ~spl5880_5071 | ~spl5880_5381)),
% 57.64/9.37 inference(forward_demodulation,[],[f118075,f113486])).
% 57.64/9.37 tff(f118075,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X1) | ($true != bG978(X0,X1))) ) | (~spl5880_1558 | ~spl5880_5381)),
% 57.64/9.37 inference(forward_demodulation,[],[f118073,f86421])).
% 57.64/9.37 tff(f118073,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG978(X0,X1))) ) | ~spl5880_5381),
% 57.64/9.37 inference(avatar_component_clause,[],[f118072])).
% 57.64/9.37 tff(f118074,plain,(
% 57.64/9.37 spl5880_5381),
% 57.64/9.37 inference(avatar_split_clause,[],[f47765,f118072])).
% 57.64/9.37 tff(f47765,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG978(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38313])).
% 57.64/9.37 tff(f116632,plain,(
% 57.64/9.37 spl5880_5380 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5379),
% 57.64/9.37 inference(avatar_split_clause,[],[f116628,f116622,f113530,f101036,f96116,f92857,f86419,f81628,f116630])).
% 57.64/9.37 tff(f116630,plain,(
% 57.64/9.37 spl5880_5380 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG979(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5380])])).
% 57.64/9.37 tff(f81628,plain,(
% 57.64/9.37 spl5880_637 <=> semiring_1(int)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_637])])).
% 57.64/9.37 tff(f92857,plain,(
% 57.64/9.37 spl5880_2532 <=> ! [X2 : $tType] : one_one(X2) = iG547(X2,iG717($true))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2532])])).
% 57.64/9.37 tff(f96116,plain,(
% 57.64/9.37 spl5880_3110 <=> ! [X0 : num] : num_of_nat(iG296(aa(num,code_integer,code_positive,X0))) = X0),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3110])])).
% 57.64/9.37 tff(f101036,plain,(
% 57.64/9.37 spl5880_3858 <=> ! [X0 : $tType,X1 : nat] : (aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = iG547(X0,X1) | ~semiring_1(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3858])])).
% 57.64/9.37 tff(f113530,plain,(
% 57.64/9.37 spl5880_5329 <=> ! [X0 : nat] : h79 = X0),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5329])])).
% 57.64/9.37 tff(f116622,plain,(
% 57.64/9.37 spl5880_5379 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG979(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5379])])).
% 57.64/9.37 tff(f116628,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG979(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5379)),
% 57.64/9.37 inference(forward_demodulation,[],[f116627,f114185])).
% 57.64/9.37 tff(f114185,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : (one_one(X0) = iG547(X0,h79)) ) | (~spl5880_2532 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f92858,f113531])).
% 57.64/9.37 tff(f113531,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (h79 = X0) ) | ~spl5880_5329),
% 57.64/9.37 inference(avatar_component_clause,[],[f113530])).
% 57.64/9.37 tff(f92858,plain,(
% 57.64/9.37 ( ! [X2 : $tType] : (one_one(X2) = iG547(X2,iG717($true))) ) | ~spl5880_2532),
% 57.64/9.37 inference(avatar_component_clause,[],[f92857])).
% 57.64/9.37 tff(f116627,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X0) | ($true != bG979(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5379)),
% 57.64/9.37 inference(forward_demodulation,[],[f116626,f102156])).
% 57.64/9.37 tff(f102156,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (iG547(int,X0) = aa(num,int,code_Target_positive,num_of_nat(X0))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3858)),
% 57.64/9.37 inference(forward_demodulation,[],[f102153,f86421])).
% 57.64/9.37 tff(f102153,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (aa(num,int,numeral_numeral(int),num_of_nat(X0)) = iG547(int,X0)) ) | (~spl5880_637 | ~spl5880_3858)),
% 57.64/9.37 inference(resolution,[],[f101037,f81630])).
% 57.64/9.37 tff(f81630,plain,(
% 57.64/9.37 semiring_1(int) | ~spl5880_637),
% 57.64/9.37 inference(avatar_component_clause,[],[f81628])).
% 57.64/9.37 tff(f101037,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : nat] : (~semiring_1(X0) | aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = iG547(X0,X1)) ) | ~spl5880_3858),
% 57.64/9.37 inference(avatar_component_clause,[],[f101036])).
% 57.64/9.37 tff(f116626,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X0) | ($true != bG979(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5379)),
% 57.64/9.37 inference(forward_demodulation,[],[f116625,f86421])).
% 57.64/9.37 tff(f116625,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X0) | ($true != bG979(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5379)),
% 57.64/9.37 inference(forward_demodulation,[],[f116623,f114017])).
% 57.64/9.37 tff(f114017,plain,(
% 57.64/9.37 ( ! [X0 : num] : (num_of_nat(h79) = X0) ) | (~spl5880_3110 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f96117,f113531])).
% 57.64/9.37 tff(f96117,plain,(
% 57.64/9.37 ( ! [X0 : num] : (num_of_nat(iG296(aa(num,code_integer,code_positive,X0))) = X0) ) | ~spl5880_3110),
% 57.64/9.37 inference(avatar_component_clause,[],[f96116])).
% 57.64/9.37 tff(f116623,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG979(X0,X1))) ) | ~spl5880_5379),
% 57.64/9.37 inference(avatar_component_clause,[],[f116622])).
% 57.64/9.37 tff(f116624,plain,(
% 57.64/9.37 spl5880_5379),
% 57.64/9.37 inference(avatar_split_clause,[],[f47763,f116622])).
% 57.64/9.37 tff(f47763,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG979(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38311])).
% 57.64/9.37 tff(f38311,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG979(X0,X1))) & (($true = bG979(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38310])).
% 57.64/9.37 tff(f38310,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG979(X0,X1))) & (($true = bG979(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21663])).
% 57.64/9.37 tff(f21663,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG979(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f16523])).
% 57.64/9.37 tff(f16523,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG979(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG979])])).
% 57.64/9.37 tff(f116618,plain,(
% 57.64/9.37 spl5880_5378 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5377),
% 57.64/9.37 inference(avatar_split_clause,[],[f116614,f116608,f113530,f101036,f96116,f92857,f86419,f81628,f116616])).
% 57.64/9.37 tff(f116616,plain,(
% 57.64/9.37 spl5880_5378 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG979(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5378])])).
% 57.64/9.37 tff(f116608,plain,(
% 57.64/9.37 spl5880_5377 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG979(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5377])])).
% 57.64/9.37 tff(f116614,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG979(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5377)),
% 57.64/9.37 inference(forward_demodulation,[],[f116613,f114185])).
% 57.64/9.37 tff(f116613,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X1) | ($true != bG979(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5377)),
% 57.64/9.37 inference(forward_demodulation,[],[f116612,f102156])).
% 57.64/9.37 tff(f116612,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X1) | ($true != bG979(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5377)),
% 57.64/9.37 inference(forward_demodulation,[],[f116611,f86421])).
% 57.64/9.37 tff(f116611,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X1) | ($true != bG979(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5377)),
% 57.64/9.37 inference(forward_demodulation,[],[f116609,f114017])).
% 57.64/9.37 tff(f116609,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG979(X0,X1))) ) | ~spl5880_5377),
% 57.64/9.37 inference(avatar_component_clause,[],[f116608])).
% 57.64/9.37 tff(f116610,plain,(
% 57.64/9.37 spl5880_5377),
% 57.64/9.37 inference(avatar_split_clause,[],[f47762,f116608])).
% 57.64/9.37 tff(f47762,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG979(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38311])).
% 57.64/9.37 tff(f116604,plain,(
% 57.64/9.37 spl5880_5376 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5375),
% 57.64/9.37 inference(avatar_split_clause,[],[f116600,f116594,f113530,f101036,f96116,f92857,f86419,f81628,f116602])).
% 57.64/9.37 tff(f116602,plain,(
% 57.64/9.37 spl5880_5376 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1457(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5376])])).
% 57.64/9.37 tff(f116594,plain,(
% 57.64/9.37 spl5880_5375 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1457(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5375])])).
% 57.64/9.37 tff(f116600,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1457(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5375)),
% 57.64/9.37 inference(forward_demodulation,[],[f116599,f114185])).
% 57.64/9.37 tff(f116599,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X0) | ($true != bG1457(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5375)),
% 57.64/9.37 inference(forward_demodulation,[],[f116598,f102156])).
% 57.64/9.37 tff(f116598,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X0) | ($true != bG1457(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5375)),
% 57.64/9.37 inference(forward_demodulation,[],[f116597,f86421])).
% 57.64/9.37 tff(f116597,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X0) | ($true != bG1457(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5375)),
% 57.64/9.37 inference(forward_demodulation,[],[f116595,f114017])).
% 57.64/9.37 tff(f116595,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1457(X0,X1))) ) | ~spl5880_5375),
% 57.64/9.37 inference(avatar_component_clause,[],[f116594])).
% 57.64/9.37 tff(f116596,plain,(
% 57.64/9.37 spl5880_5375),
% 57.64/9.37 inference(avatar_split_clause,[],[f46854,f116594])).
% 57.64/9.37 tff(f46854,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1457(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38097])).
% 57.64/9.37 tff(f38097,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1457(X0,X1))) & (($true = bG1457(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38096])).
% 57.64/9.37 tff(f38096,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1457(X0,X1))) & (($true = bG1457(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21052])).
% 57.64/9.37 tff(f21052,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG1457(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f17893])).
% 57.64/9.37 tff(f17893,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG1457(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG1457])])).
% 57.64/9.37 tff(f116590,plain,(
% 57.64/9.37 spl5880_5374 | ~spl5880_4793 | ~spl5880_4804 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114536,f113530,f108417,f108372,f116587])).
% 57.64/9.37 tff(f116587,plain,(
% 57.64/9.37 spl5880_5374 <=> sn76 = sn96),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5374])])).
% 57.64/9.37 tff(f108372,plain,(
% 57.64/9.37 spl5880_4793 <=> sn96 = lG1811(summary,h93)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4793])])).
% 57.64/9.37 tff(f108417,plain,(
% 57.64/9.37 spl5880_4804 <=> sn76 = lG1811(summary,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4804])])).
% 57.64/9.37 tff(f114536,plain,(
% 57.64/9.37 sn76 = sn96 | (~spl5880_4793 | ~spl5880_4804 | ~spl5880_5329)),
% 57.64/9.37 inference(forward_demodulation,[],[f114013,f113629])).
% 57.64/9.37 tff(f113629,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (sn76 = lG1811(summary,X0)) ) | (~spl5880_4804 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f108419,f113531])).
% 57.64/9.37 tff(f108419,plain,(
% 57.64/9.37 sn76 = lG1811(summary,h79) | ~spl5880_4804),
% 57.64/9.37 inference(avatar_component_clause,[],[f108417])).
% 57.64/9.37 tff(f114013,plain,(
% 57.64/9.37 sn96 = lG1811(summary,h79) | (~spl5880_4793 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f108374,f113531])).
% 57.64/9.37 tff(f108374,plain,(
% 57.64/9.37 sn96 = lG1811(summary,h93) | ~spl5880_4793),
% 57.64/9.37 inference(avatar_component_clause,[],[f108372])).
% 57.64/9.37 tff(f116585,plain,(
% 57.64/9.37 spl5880_5373 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5372),
% 57.64/9.37 inference(avatar_split_clause,[],[f116581,f116575,f113530,f101036,f96116,f92857,f86419,f81628,f116583])).
% 57.64/9.37 tff(f116583,plain,(
% 57.64/9.37 spl5880_5373 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1457(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5373])])).
% 57.64/9.37 tff(f116575,plain,(
% 57.64/9.37 spl5880_5372 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1457(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5372])])).
% 57.64/9.37 tff(f116581,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1457(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5372)),
% 57.64/9.37 inference(forward_demodulation,[],[f116580,f114185])).
% 57.64/9.37 tff(f116580,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X1) | ($true != bG1457(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5372)),
% 57.64/9.37 inference(forward_demodulation,[],[f116579,f102156])).
% 57.64/9.37 tff(f116579,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X1) | ($true != bG1457(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5372)),
% 57.64/9.37 inference(forward_demodulation,[],[f116578,f86421])).
% 57.64/9.37 tff(f116578,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X1) | ($true != bG1457(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5372)),
% 57.64/9.37 inference(forward_demodulation,[],[f116576,f114017])).
% 57.64/9.37 tff(f116576,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1457(X0,X1))) ) | ~spl5880_5372),
% 57.64/9.37 inference(avatar_component_clause,[],[f116575])).
% 57.64/9.37 tff(f116577,plain,(
% 57.64/9.37 spl5880_5372),
% 57.64/9.37 inference(avatar_split_clause,[],[f46853,f116575])).
% 57.64/9.37 tff(f46853,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1457(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38097])).
% 57.64/9.37 tff(f116571,plain,(
% 57.64/9.37 spl5880_5371 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5370),
% 57.64/9.37 inference(avatar_split_clause,[],[f116567,f116561,f113530,f101036,f96116,f92857,f86419,f81628,f116569])).
% 57.64/9.37 tff(f116569,plain,(
% 57.64/9.37 spl5880_5371 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1458(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5371])])).
% 57.64/9.37 tff(f116561,plain,(
% 57.64/9.37 spl5880_5370 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1458(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5370])])).
% 57.64/9.37 tff(f116567,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1458(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5370)),
% 57.64/9.37 inference(forward_demodulation,[],[f116566,f114185])).
% 57.64/9.37 tff(f116566,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X0) | ($true != bG1458(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5370)),
% 57.64/9.37 inference(forward_demodulation,[],[f116565,f102156])).
% 57.64/9.37 tff(f116565,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X0) | ($true != bG1458(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5370)),
% 57.64/9.37 inference(forward_demodulation,[],[f116564,f86421])).
% 57.64/9.37 tff(f116564,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X0) | ($true != bG1458(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5370)),
% 57.64/9.37 inference(forward_demodulation,[],[f116562,f114017])).
% 57.64/9.37 tff(f116562,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1458(X0,X1))) ) | ~spl5880_5370),
% 57.64/9.37 inference(avatar_component_clause,[],[f116561])).
% 57.64/9.37 tff(f116563,plain,(
% 57.64/9.37 spl5880_5370),
% 57.64/9.37 inference(avatar_split_clause,[],[f46851,f116561])).
% 57.64/9.37 tff(f46851,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1458(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38095])).
% 57.64/9.37 tff(f38095,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1458(X0,X1))) & (($true = bG1458(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38094])).
% 57.64/9.37 tff(f38094,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1458(X0,X1))) & (($true = bG1458(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21051])).
% 57.64/9.37 tff(f21051,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG1458(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f17894])).
% 57.64/9.37 tff(f17894,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG1458(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG1458])])).
% 57.64/9.37 tff(f116557,plain,(
% 57.64/9.37 spl5880_5369 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5368),
% 57.64/9.37 inference(avatar_split_clause,[],[f116553,f116547,f113530,f101036,f96116,f92857,f86419,f81628,f116555])).
% 57.64/9.37 tff(f116555,plain,(
% 57.64/9.37 spl5880_5369 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1458(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5369])])).
% 57.64/9.37 tff(f116547,plain,(
% 57.64/9.37 spl5880_5368 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1458(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5368])])).
% 57.64/9.37 tff(f116553,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1458(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5368)),
% 57.64/9.37 inference(forward_demodulation,[],[f116552,f114185])).
% 57.64/9.37 tff(f116552,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X1) | ($true != bG1458(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5368)),
% 57.64/9.37 inference(forward_demodulation,[],[f116551,f102156])).
% 57.64/9.37 tff(f116551,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X1) | ($true != bG1458(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5368)),
% 57.64/9.37 inference(forward_demodulation,[],[f116550,f86421])).
% 57.64/9.37 tff(f116550,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X1) | ($true != bG1458(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5368)),
% 57.64/9.37 inference(forward_demodulation,[],[f116548,f114017])).
% 57.64/9.37 tff(f116548,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1458(X0,X1))) ) | ~spl5880_5368),
% 57.64/9.37 inference(avatar_component_clause,[],[f116547])).
% 57.64/9.37 tff(f116549,plain,(
% 57.64/9.37 spl5880_5368),
% 57.64/9.37 inference(avatar_split_clause,[],[f46850,f116547])).
% 57.64/9.37 tff(f46850,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1458(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38095])).
% 57.64/9.37 tff(f116543,plain,(
% 57.64/9.37 spl5880_5367 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5365),
% 57.64/9.37 inference(avatar_split_clause,[],[f116534,f116528,f113530,f101036,f96116,f92857,f86419,f81628,f116541])).
% 57.64/9.37 tff(f116541,plain,(
% 57.64/9.37 spl5880_5367 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1460(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5367])])).
% 57.64/9.37 tff(f116528,plain,(
% 57.64/9.37 spl5880_5365 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1460(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5365])])).
% 57.64/9.37 tff(f116534,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1460(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5365)),
% 57.64/9.37 inference(forward_demodulation,[],[f116533,f114185])).
% 57.64/9.37 tff(f116533,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X0) | ($true != bG1460(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5365)),
% 57.64/9.37 inference(forward_demodulation,[],[f116532,f102156])).
% 57.64/9.37 tff(f116532,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X0) | ($true != bG1460(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5365)),
% 57.64/9.37 inference(forward_demodulation,[],[f116531,f86421])).
% 57.64/9.37 tff(f116531,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X0) | ($true != bG1460(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5365)),
% 57.64/9.37 inference(forward_demodulation,[],[f116529,f114017])).
% 57.64/9.37 tff(f116529,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1460(X0,X1))) ) | ~spl5880_5365),
% 57.64/9.37 inference(avatar_component_clause,[],[f116528])).
% 57.64/9.37 tff(f116539,plain,(
% 57.64/9.37 spl5880_5366 | ~spl5880_4783 | ~spl5880_4804 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114534,f113530,f108417,f108324,f116536])).
% 57.64/9.37 tff(f116536,plain,(
% 57.64/9.37 spl5880_5366 <=> sn76 = sn89),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5366])])).
% 57.64/9.37 tff(f108324,plain,(
% 57.64/9.37 spl5880_4783 <=> sn89 = lG1811(summary,h86)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4783])])).
% 57.64/9.37 tff(f114534,plain,(
% 57.64/9.37 sn76 = sn89 | (~spl5880_4783 | ~spl5880_4804 | ~spl5880_5329)),
% 57.64/9.37 inference(forward_demodulation,[],[f114009,f113629])).
% 57.64/9.37 tff(f114009,plain,(
% 57.64/9.37 sn89 = lG1811(summary,h79) | (~spl5880_4783 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f108326,f113531])).
% 57.64/9.37 tff(f108326,plain,(
% 57.64/9.37 sn89 = lG1811(summary,h86) | ~spl5880_4783),
% 57.64/9.37 inference(avatar_component_clause,[],[f108324])).
% 57.64/9.37 tff(f116530,plain,(
% 57.64/9.37 spl5880_5365),
% 57.64/9.37 inference(avatar_split_clause,[],[f46845,f116528])).
% 57.64/9.37 tff(f46845,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1460(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38093])).
% 57.64/9.37 tff(f38093,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1460(X0,X1))) & (($true = bG1460(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38092])).
% 57.64/9.37 tff(f38092,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1460(X0,X1))) & (($true = bG1460(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21049])).
% 57.64/9.37 tff(f21049,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG1460(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f17898])).
% 57.64/9.37 tff(f17898,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG1460(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG1460])])).
% 57.64/9.37 tff(f116524,plain,(
% 57.64/9.37 spl5880_5364 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5363),
% 57.64/9.37 inference(avatar_split_clause,[],[f116520,f116514,f113530,f101036,f96116,f92857,f86419,f81628,f116522])).
% 57.64/9.37 tff(f116522,plain,(
% 57.64/9.37 spl5880_5364 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1460(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5364])])).
% 57.64/9.37 tff(f116514,plain,(
% 57.64/9.37 spl5880_5363 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1460(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5363])])).
% 57.64/9.37 tff(f116520,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1460(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5363)),
% 57.64/9.37 inference(forward_demodulation,[],[f116519,f114185])).
% 57.64/9.37 tff(f116519,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X1) | ($true != bG1460(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5363)),
% 57.64/9.37 inference(forward_demodulation,[],[f116518,f102156])).
% 57.64/9.37 tff(f116518,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X1) | ($true != bG1460(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5363)),
% 57.64/9.37 inference(forward_demodulation,[],[f116517,f86421])).
% 57.64/9.37 tff(f116517,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X1) | ($true != bG1460(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5363)),
% 57.64/9.37 inference(forward_demodulation,[],[f116515,f114017])).
% 57.64/9.37 tff(f116515,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1460(X0,X1))) ) | ~spl5880_5363),
% 57.64/9.37 inference(avatar_component_clause,[],[f116514])).
% 57.64/9.37 tff(f116516,plain,(
% 57.64/9.37 spl5880_5363),
% 57.64/9.37 inference(avatar_split_clause,[],[f46844,f116514])).
% 57.64/9.37 tff(f46844,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1460(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38093])).
% 57.64/9.37 tff(f116510,plain,(
% 57.64/9.37 spl5880_5362 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5361),
% 57.64/9.37 inference(avatar_split_clause,[],[f116506,f116500,f113530,f101036,f96116,f92857,f86419,f81628,f116508])).
% 57.64/9.37 tff(f116508,plain,(
% 57.64/9.37 spl5880_5362 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1461(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5362])])).
% 57.64/9.37 tff(f116500,plain,(
% 57.64/9.37 spl5880_5361 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1461(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5361])])).
% 57.64/9.37 tff(f116506,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X0) | ($true != bG1461(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5361)),
% 57.64/9.37 inference(forward_demodulation,[],[f116505,f114185])).
% 57.64/9.37 tff(f116505,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X0) | ($true != bG1461(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5361)),
% 57.64/9.37 inference(forward_demodulation,[],[f116504,f102156])).
% 57.64/9.37 tff(f116504,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X0) | ($true != bG1461(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5361)),
% 57.64/9.37 inference(forward_demodulation,[],[f116503,f86421])).
% 57.64/9.37 tff(f116503,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X0) | ($true != bG1461(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5361)),
% 57.64/9.37 inference(forward_demodulation,[],[f116501,f114017])).
% 57.64/9.37 tff(f116501,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1461(X0,X1))) ) | ~spl5880_5361),
% 57.64/9.37 inference(avatar_component_clause,[],[f116500])).
% 57.64/9.37 tff(f116502,plain,(
% 57.64/9.37 spl5880_5361),
% 57.64/9.37 inference(avatar_split_clause,[],[f46842,f116500])).
% 57.64/9.37 tff(f46842,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG1461(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38091])).
% 57.64/9.37 tff(f38091,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1461(X0,X1))) & (($true = bG1461(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 57.64/9.37 inference(flattening,[],[f38090])).
% 57.64/9.37 tff(f38090,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG1461(X0,X1))) & (($true = bG1461(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 57.64/9.37 inference(nnf_transformation,[],[f21048])).
% 57.64/9.37 tff(f21048,plain,(
% 57.64/9.37 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG1461(X0,X1)))),
% 57.64/9.37 inference(rectify,[],[f17899])).
% 57.64/9.37 tff(f17899,plain,(
% 57.64/9.37 ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG1461(X1,X0)))),
% 57.64/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG1461])])).
% 57.64/9.37 tff(f116496,plain,(
% 57.64/9.37 spl5880_5360 | ~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5359),
% 57.64/9.37 inference(avatar_split_clause,[],[f116492,f116486,f113530,f101036,f96116,f92857,f86419,f81628,f116494])).
% 57.64/9.37 tff(f116494,plain,(
% 57.64/9.37 spl5880_5360 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1461(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5360])])).
% 57.64/9.37 tff(f116486,plain,(
% 57.64/9.37 spl5880_5359 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1461(X0,X1)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5359])])).
% 57.64/9.37 tff(f116492,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,one_one(int),X1) | ($true != bG1461(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_2532 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5359)),
% 57.64/9.37 inference(forward_demodulation,[],[f116491,f114185])).
% 57.64/9.37 tff(f116491,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,iG547(int,h79),X1) | ($true != bG1461(X0,X1))) ) | (~spl5880_637 | ~spl5880_1558 | ~spl5880_3110 | ~spl5880_3858 | ~spl5880_5329 | ~spl5880_5359)),
% 57.64/9.37 inference(forward_demodulation,[],[f116490,f102156])).
% 57.64/9.37 tff(f116490,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,num_of_nat(h79)),X1) | ($true != bG1461(X0,X1))) ) | (~spl5880_1558 | ~spl5880_3110 | ~spl5880_5329 | ~spl5880_5359)),
% 57.64/9.37 inference(forward_demodulation,[],[f116489,f86421])).
% 57.64/9.37 tff(f116489,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),num_of_nat(h79)),X1) | ($true != bG1461(X0,X1))) ) | (~spl5880_3110 | ~spl5880_5329 | ~spl5880_5359)),
% 57.64/9.37 inference(forward_demodulation,[],[f116487,f114017])).
% 57.64/9.37 tff(f116487,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1461(X0,X1))) ) | ~spl5880_5359),
% 57.64/9.37 inference(avatar_component_clause,[],[f116486])).
% 57.64/9.37 tff(f116488,plain,(
% 57.64/9.37 spl5880_5359),
% 57.64/9.37 inference(avatar_split_clause,[],[f46841,f116486])).
% 57.64/9.37 tff(f46841,plain,(
% 57.64/9.37 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG1461(X0,X1))) )),
% 57.64/9.37 inference(cnf_transformation,[],[f38091])).
% 57.64/9.37 tff(f116484,plain,(
% 57.64/9.37 spl5880_5358 | ~spl5880_4678 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114257,f113530,f106748,f116481])).
% 57.64/9.37 tff(f116481,plain,(
% 57.64/9.37 spl5880_5358 <=> sP2116(h79,iG271)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5358])])).
% 57.64/9.37 tff(f114257,plain,(
% 57.64/9.37 sP2116(h79,iG271) | (~spl5880_4678 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f106750,f113531])).
% 57.64/9.37 tff(f116479,plain,(
% 57.64/9.37 spl5880_5357),
% 57.64/9.37 inference(avatar_split_clause,[],[f46214,f116477])).
% 57.64/9.37 tff(f116477,plain,(
% 57.64/9.37 spl5880_5357 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (iG1782(X4,X3,X2,X1,X0) | ~sP1845(X4,X3,X2,X1,X0) | ~sP1846(X0,X1,X2,X3,X4))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5357])])).
% 57.64/9.37 tff(f46214,plain,(
% 57.64/9.37 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (iG1782(X4,X3,X2,X1,X0) | ~sP1845(X4,X3,X2,X1,X0) | ~sP1846(X0,X1,X2,X3,X4)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f37983])).
% 57.64/9.37 tff(f37983,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (((iG1782(X4,X3,X2,X1,X0) | ~sP1845(X4,X3,X2,X1,X0)) & (sP1845(X4,X3,X2,X1,X0) | ~iG1782(X4,X3,X2,X1,X0))) | ~sP1846(X0,X1,X2,X3,X4))),
% 57.64/9.37 inference(rectify,[],[f37982])).
% 57.64/9.37 tff(f37982,plain,(
% 57.64/9.37 ! [X4 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat,X0 : nat] : (((iG1782(X0,X1,X2,X3,X4) | ~sP1845(X0,X1,X2,X3,X4)) & (sP1845(X0,X1,X2,X3,X4) | ~iG1782(X0,X1,X2,X3,X4))) | ~sP1846(X4,X3,X2,X1,X0))),
% 57.64/9.37 inference(nnf_transformation,[],[f36960])).
% 57.64/9.37 tff(f116475,plain,(
% 57.64/9.37 spl5880_5356),
% 57.64/9.37 inference(avatar_split_clause,[],[f46213,f116473])).
% 57.64/9.37 tff(f116473,plain,(
% 57.64/9.37 spl5880_5356 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (sP1845(X4,X3,X2,X1,X0) | ~iG1782(X4,X3,X2,X1,X0) | ~sP1846(X0,X1,X2,X3,X4))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5356])])).
% 57.64/9.37 tff(f46213,plain,(
% 57.64/9.37 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1845(X4,X3,X2,X1,X0) | ~iG1782(X4,X3,X2,X1,X0) | ~sP1846(X0,X1,X2,X3,X4)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f37983])).
% 57.64/9.37 tff(f116433,plain,(
% 57.64/9.37 spl5880_5355 | ~spl5880_4677 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114256,f113530,f106646,f116430])).
% 57.64/9.37 tff(f116430,plain,(
% 57.64/9.37 spl5880_5355 <=> sP2116(iG271,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5355])])).
% 57.64/9.37 tff(f114256,plain,(
% 57.64/9.37 sP2116(iG271,h79) | (~spl5880_4677 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f106648,f113531])).
% 57.64/9.37 tff(f116398,plain,(
% 57.64/9.37 spl5880_5354 | ~spl5880_1544 | ~spl5880_5312),
% 57.64/9.37 inference(avatar_split_clause,[],[f112894,f112891,f86336,f116396])).
% 57.64/9.37 tff(f116396,plain,(
% 57.64/9.37 spl5880_5354 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG717($true),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5354])])).
% 57.64/9.37 tff(f86336,plain,(
% 57.64/9.37 spl5880_1544 <=> iG894($true) = iG717($true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1544])])).
% 57.64/9.37 tff(f112891,plain,(
% 57.64/9.37 spl5880_5312 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5312])])).
% 57.64/9.37 tff(f112894,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG717($true),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1)) ) | (~spl5880_1544 | ~spl5880_5312)),
% 57.64/9.37 inference(forward_demodulation,[],[f112892,f86338])).
% 57.64/9.37 tff(f86338,plain,(
% 57.64/9.37 iG894($true) = iG717($true) | ~spl5880_1544),
% 57.64/9.37 inference(avatar_component_clause,[],[f86336])).
% 57.64/9.37 tff(f112892,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1)) ) | ~spl5880_5312),
% 57.64/9.37 inference(avatar_component_clause,[],[f112891])).
% 57.64/9.37 tff(f116394,plain,(
% 57.64/9.37 spl5880_5353 | ~spl5880_4676 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114255,f113530,f106607,f116391])).
% 57.64/9.37 tff(f116391,plain,(
% 57.64/9.37 spl5880_5353 <=> sP2115(h79,iG271)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5353])])).
% 57.64/9.37 tff(f114255,plain,(
% 57.64/9.37 sP2115(h79,iG271) | (~spl5880_4676 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f106609,f113531])).
% 57.64/9.37 tff(f116389,plain,(
% 57.64/9.37 spl5880_5352 | ~spl5880_1544 | ~spl5880_5311),
% 57.64/9.37 inference(avatar_split_clause,[],[f112884,f112881,f86336,f116387])).
% 57.64/9.37 tff(f116387,plain,(
% 57.64/9.37 spl5880_5352 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG717($true),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5352])])).
% 57.64/9.37 tff(f112881,plain,(
% 57.64/9.37 spl5880_5311 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5311])])).
% 57.64/9.37 tff(f112884,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG717($true),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1)) ) | (~spl5880_1544 | ~spl5880_5311)),
% 57.64/9.37 inference(forward_demodulation,[],[f112882,f86338])).
% 57.64/9.37 tff(f112882,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1)) ) | ~spl5880_5311),
% 57.64/9.37 inference(avatar_component_clause,[],[f112881])).
% 57.64/9.37 tff(f116370,plain,(
% 57.64/9.37 spl5880_5351 | ~spl5880_1544 | ~spl5880_5298),
% 57.64/9.37 inference(avatar_split_clause,[],[f112800,f112797,f86336,f116368])).
% 57.64/9.37 tff(f116368,plain,(
% 57.64/9.37 spl5880_5351 <=> ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),iG717($true)) | nil(X0) = X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5351])])).
% 57.64/9.37 tff(f112797,plain,(
% 57.64/9.37 spl5880_5298 <=> ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),iG894($true)) | nil(X0) = X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5298])])).
% 57.64/9.37 tff(f112800,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),iG717($true)) | nil(X0) = X1) ) | (~spl5880_1544 | ~spl5880_5298)),
% 57.64/9.37 inference(forward_demodulation,[],[f112798,f86338])).
% 57.64/9.37 tff(f112798,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),iG894($true)) | nil(X0) = X1) ) | ~spl5880_5298),
% 57.64/9.37 inference(avatar_component_clause,[],[f112797])).
% 57.64/9.37 tff(f116332,plain,(
% 57.64/9.37 spl5880_5350 | ~spl5880_1544 | ~spl5880_5277),
% 57.64/9.37 inference(avatar_split_clause,[],[f112646,f112643,f86336,f116330])).
% 57.64/9.37 tff(f116330,plain,(
% 57.64/9.37 spl5880_5350 <=> ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),$true)),iG717($true))) | ~bit_semiring_bits(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5350])])).
% 57.64/9.37 tff(f112643,plain,(
% 57.64/9.37 spl5880_5277 <=> ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),$true)),iG894($true))) | ~bit_semiring_bits(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5277])])).
% 57.64/9.37 tff(f112646,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),$true)),iG717($true))) | ~bit_semiring_bits(X0)) ) | (~spl5880_1544 | ~spl5880_5277)),
% 57.64/9.37 inference(forward_demodulation,[],[f112644,f86338])).
% 57.64/9.37 tff(f112644,plain,(
% 57.64/9.37 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),$true)),iG894($true))) | ~bit_semiring_bits(X0)) ) | ~spl5880_5277),
% 57.64/9.37 inference(avatar_component_clause,[],[f112643])).
% 57.64/9.37 tff(f116290,plain,(
% 57.64/9.37 spl5880_5349 | ~spl5880_4675 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114254,f113530,f106596,f116287])).
% 57.64/9.37 tff(f116287,plain,(
% 57.64/9.37 spl5880_5349 <=> sP2115(iG271,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5349])])).
% 57.64/9.37 tff(f114254,plain,(
% 57.64/9.37 sP2115(iG271,h79) | (~spl5880_4675 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f106598,f113531])).
% 57.64/9.37 tff(f116282,plain,(
% 57.64/9.37 spl5880_5348 | ~spl5880_1426 | ~spl5880_5271),
% 57.64/9.37 inference(avatar_split_clause,[],[f112620,f112617,f85691,f116280])).
% 57.64/9.37 tff(f116280,plain,(
% 57.64/9.37 spl5880_5348 <=> ! [X0 : num] : aa(num,int,code_Target_positive,X0) = aa(nat,int,semiring_1_of_nat(int),iG296(aa(num,code_integer,code_positive,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5348])])).
% 57.64/9.37 tff(f85691,plain,(
% 57.64/9.37 spl5880_1426 <=> ! [X0 : code_integer] : iG296(X0) = lG696(X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1426])])).
% 57.64/9.37 tff(f112617,plain,(
% 57.64/9.37 spl5880_5271 <=> ! [X0 : num] : aa(num,int,code_Target_positive,X0) = aa(nat,int,semiring_1_of_nat(int),lG696(aa(num,code_integer,code_positive,X0)))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5271])])).
% 57.64/9.37 tff(f112620,plain,(
% 57.64/9.37 ( ! [X0 : num] : (aa(num,int,code_Target_positive,X0) = aa(nat,int,semiring_1_of_nat(int),iG296(aa(num,code_integer,code_positive,X0)))) ) | (~spl5880_1426 | ~spl5880_5271)),
% 57.64/9.37 inference(forward_demodulation,[],[f112618,f85692])).
% 57.64/9.37 tff(f85692,plain,(
% 57.64/9.37 ( ! [X0 : code_integer] : (iG296(X0) = lG696(X0)) ) | ~spl5880_1426),
% 57.64/9.37 inference(avatar_component_clause,[],[f85691])).
% 57.64/9.37 tff(f112618,plain,(
% 57.64/9.37 ( ! [X0 : num] : (aa(num,int,code_Target_positive,X0) = aa(nat,int,semiring_1_of_nat(int),lG696(aa(num,code_integer,code_positive,X0)))) ) | ~spl5880_5271),
% 57.64/9.37 inference(avatar_component_clause,[],[f112617])).
% 57.64/9.37 tff(f116252,plain,(
% 57.64/9.37 spl5880_5347 | ~spl5880_4047 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114240,f113530,f101964,f116250])).
% 57.64/9.37 tff(f116250,plain,(
% 57.64/9.37 spl5880_5347 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5347])])).
% 57.64/9.37 tff(f114240,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,h79)) ) | (~spl5880_4047 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101965,f113531])).
% 57.64/9.37 tff(f116160,plain,(
% 57.64/9.37 spl5880_5346 | ~spl5880_1443 | ~spl5880_5248),
% 57.64/9.37 inference(avatar_split_clause,[],[f112482,f112479,f85782,f116158])).
% 57.64/9.37 tff(f116158,plain,(
% 57.64/9.37 spl5880_5346 <=> ! [X3 : $tType,X5 : X3] : bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,iG717($true),X5))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5346])])).
% 57.64/9.37 tff(f85782,plain,(
% 57.64/9.37 spl5880_1443 <=> zero_zero(nat) = iG717($true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1443])])).
% 57.64/9.37 tff(f112479,plain,(
% 57.64/9.37 spl5880_5248 <=> ! [X3 : $tType,X5 : X3] : bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,zero_zero(nat),X5))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5248])])).
% 57.64/9.37 tff(f112482,plain,(
% 57.64/9.37 ( ! [X3 : $tType,X5 : X3] : (bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,iG717($true),X5))) ) | (~spl5880_1443 | ~spl5880_5248)),
% 57.64/9.37 inference(forward_demodulation,[],[f112480,f85784])).
% 57.64/9.37 tff(f85784,plain,(
% 57.64/9.37 zero_zero(nat) = iG717($true) | ~spl5880_1443),
% 57.64/9.37 inference(avatar_component_clause,[],[f85782])).
% 57.64/9.37 tff(f112480,plain,(
% 57.64/9.37 ( ! [X3 : $tType,X5 : X3] : (bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,zero_zero(nat),X5))) ) | ~spl5880_5248),
% 57.64/9.37 inference(avatar_component_clause,[],[f112479])).
% 57.64/9.37 tff(f116156,plain,(
% 57.64/9.37 spl5880_5345 | ~spl5880_1443 | ~spl5880_5247),
% 57.64/9.37 inference(avatar_split_clause,[],[f112477,f112474,f85782,f116154])).
% 57.64/9.37 tff(f116154,plain,(
% 57.64/9.37 spl5880_5345 <=> ! [X4 : $tType,X6 : list(X4),X7 : X4] : nil(X4) = take(X4,iG717($true),aa(list(X4),list(X4),cons(X4,X7),X6))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5345])])).
% 57.64/9.37 tff(f112474,plain,(
% 57.64/9.37 spl5880_5247 <=> ! [X4 : $tType,X6 : list(X4),X7 : X4] : nil(X4) = take(X4,zero_zero(nat),aa(list(X4),list(X4),cons(X4,X7),X6))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5247])])).
% 57.64/9.37 tff(f112477,plain,(
% 57.64/9.37 ( ! [X4 : $tType,X6 : list(X4),X7 : X4] : (nil(X4) = take(X4,iG717($true),aa(list(X4),list(X4),cons(X4,X7),X6))) ) | (~spl5880_1443 | ~spl5880_5247)),
% 57.64/9.37 inference(forward_demodulation,[],[f112475,f85784])).
% 57.64/9.37 tff(f112475,plain,(
% 57.64/9.37 ( ! [X4 : $tType,X6 : list(X4),X7 : X4] : (nil(X4) = take(X4,zero_zero(nat),aa(list(X4),list(X4),cons(X4,X7),X6))) ) | ~spl5880_5247),
% 57.64/9.37 inference(avatar_component_clause,[],[f112474])).
% 57.64/9.37 tff(f116152,plain,(
% 57.64/9.37 spl5880_5344 | ~spl5880_4045 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114133,f113530,f101933,f116149])).
% 57.64/9.37 tff(f116149,plain,(
% 57.64/9.37 spl5880_5344 <=> iG1477(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5344])])).
% 57.64/9.37 tff(f101933,plain,(
% 57.64/9.37 spl5880_4045 <=> iG1477(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4045])])).
% 57.64/9.37 tff(f114133,plain,(
% 57.64/9.37 iG1477(h79,$true) | (~spl5880_4045 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101935,f113531])).
% 57.64/9.37 tff(f101935,plain,(
% 57.64/9.37 iG1477(iG714($true),$true) | ~spl5880_4045),
% 57.64/9.37 inference(avatar_component_clause,[],[f101933])).
% 57.64/9.37 tff(f116052,plain,(
% 57.64/9.37 spl5880_5343 | ~spl5880_4040 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114132,f113530,f101891,f116049])).
% 57.64/9.37 tff(f116049,plain,(
% 57.64/9.37 spl5880_5343 <=> iG1509(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5343])])).
% 57.64/9.37 tff(f101891,plain,(
% 57.64/9.37 spl5880_4040 <=> iG1509(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4040])])).
% 57.64/9.37 tff(f114132,plain,(
% 57.64/9.37 iG1509(h79,$true) | (~spl5880_4040 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101893,f113531])).
% 57.64/9.37 tff(f101893,plain,(
% 57.64/9.37 iG1509(iG714($true),$true) | ~spl5880_4040),
% 57.64/9.37 inference(avatar_component_clause,[],[f101891])).
% 57.64/9.37 tff(f115961,plain,(
% 57.64/9.37 spl5880_5342 | ~spl5880_4034 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114131,f113530,f101802,f115958])).
% 57.64/9.37 tff(f115958,plain,(
% 57.64/9.37 spl5880_5342 <=> iG1537(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5342])])).
% 57.64/9.37 tff(f101802,plain,(
% 57.64/9.37 spl5880_4034 <=> iG1537(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4034])])).
% 57.64/9.37 tff(f114131,plain,(
% 57.64/9.37 iG1537(h79,$true) | (~spl5880_4034 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101804,f113531])).
% 57.64/9.37 tff(f101804,plain,(
% 57.64/9.37 iG1537(iG714($true),$true) | ~spl5880_4034),
% 57.64/9.37 inference(avatar_component_clause,[],[f101802])).
% 57.64/9.37 tff(f115618,plain,(
% 57.64/9.37 spl5880_5341 | ~spl5880_4023 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114130,f113530,f101748,f115615])).
% 57.64/9.37 tff(f115615,plain,(
% 57.64/9.37 spl5880_5341 <=> iG802(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5341])])).
% 57.64/9.37 tff(f101748,plain,(
% 57.64/9.37 spl5880_4023 <=> iG802(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4023])])).
% 57.64/9.37 tff(f114130,plain,(
% 57.64/9.37 iG802(h79,$true) | (~spl5880_4023 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101750,f113531])).
% 57.64/9.37 tff(f101750,plain,(
% 57.64/9.37 iG802(iG714($true),$true) | ~spl5880_4023),
% 57.64/9.37 inference(avatar_component_clause,[],[f101748])).
% 57.64/9.37 tff(f115576,plain,(
% 57.64/9.37 spl5880_5340 | ~spl5880_4014 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114128,f113530,f101699,f115573])).
% 57.64/9.37 tff(f115573,plain,(
% 57.64/9.37 spl5880_5340 <=> iG810(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5340])])).
% 57.64/9.37 tff(f101699,plain,(
% 57.64/9.37 spl5880_4014 <=> iG810(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4014])])).
% 57.64/9.37 tff(f114128,plain,(
% 57.64/9.37 iG810(h79,$true) | (~spl5880_4014 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101701,f113531])).
% 57.64/9.37 tff(f101701,plain,(
% 57.64/9.37 iG810(iG714($true),$true) | ~spl5880_4014),
% 57.64/9.37 inference(avatar_component_clause,[],[f101699])).
% 57.64/9.37 tff(f115559,plain,(
% 57.64/9.37 spl5880_5339 | ~spl5880_4002 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114127,f113530,f101641,f115556])).
% 57.64/9.37 tff(f115556,plain,(
% 57.64/9.37 spl5880_5339 <=> iG842(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5339])])).
% 57.64/9.37 tff(f101641,plain,(
% 57.64/9.37 spl5880_4002 <=> iG842(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4002])])).
% 57.64/9.37 tff(f114127,plain,(
% 57.64/9.37 iG842(h79,$true) | (~spl5880_4002 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101643,f113531])).
% 57.64/9.37 tff(f101643,plain,(
% 57.64/9.37 iG842(iG714($true),$true) | ~spl5880_4002),
% 57.64/9.37 inference(avatar_component_clause,[],[f101641])).
% 57.64/9.37 tff(f115554,plain,(
% 57.64/9.37 spl5880_5338 | ~spl5880_3991 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114126,f113530,f101588,f115551])).
% 57.64/9.37 tff(f115551,plain,(
% 57.64/9.37 spl5880_5338 <=> iG850(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5338])])).
% 57.64/9.37 tff(f101588,plain,(
% 57.64/9.37 spl5880_3991 <=> iG850(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3991])])).
% 57.64/9.37 tff(f114126,plain,(
% 57.64/9.37 iG850(h79,$true) | (~spl5880_3991 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101590,f113531])).
% 57.64/9.37 tff(f101590,plain,(
% 57.64/9.37 iG850(iG714($true),$true) | ~spl5880_3991),
% 57.64/9.37 inference(avatar_component_clause,[],[f101588])).
% 57.64/9.37 tff(f115549,plain,(
% 57.64/9.37 spl5880_5337 | ~spl5880_3980 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114125,f113530,f101538,f115546])).
% 57.64/9.37 tff(f115546,plain,(
% 57.64/9.37 spl5880_5337 <=> iG933(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5337])])).
% 57.64/9.37 tff(f101538,plain,(
% 57.64/9.37 spl5880_3980 <=> iG933(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3980])])).
% 57.64/9.37 tff(f114125,plain,(
% 57.64/9.37 iG933(h79,$true) | (~spl5880_3980 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101540,f113531])).
% 57.64/9.37 tff(f101540,plain,(
% 57.64/9.37 iG933(iG714($true),$true) | ~spl5880_3980),
% 57.64/9.37 inference(avatar_component_clause,[],[f101538])).
% 57.64/9.37 tff(f115544,plain,(
% 57.64/9.37 spl5880_5336 | ~spl5880_3969 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114124,f113530,f101492,f115541])).
% 57.64/9.37 tff(f115541,plain,(
% 57.64/9.37 spl5880_5336 <=> iG945(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5336])])).
% 57.64/9.37 tff(f101492,plain,(
% 57.64/9.37 spl5880_3969 <=> iG945(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3969])])).
% 57.64/9.37 tff(f114124,plain,(
% 57.64/9.37 iG945(h79,$true) | (~spl5880_3969 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101494,f113531])).
% 57.64/9.37 tff(f101494,plain,(
% 57.64/9.37 iG945(iG714($true),$true) | ~spl5880_3969),
% 57.64/9.37 inference(avatar_component_clause,[],[f101492])).
% 57.64/9.37 tff(f115404,plain,(
% 57.64/9.37 spl5880_5335 | ~spl5880_3959 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114123,f113530,f101446,f115401])).
% 57.64/9.37 tff(f115401,plain,(
% 57.64/9.37 spl5880_5335 <=> iG955(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5335])])).
% 57.64/9.37 tff(f101446,plain,(
% 57.64/9.37 spl5880_3959 <=> iG955(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3959])])).
% 57.64/9.37 tff(f114123,plain,(
% 57.64/9.37 iG955(h79,$true) | (~spl5880_3959 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101448,f113531])).
% 57.64/9.37 tff(f101448,plain,(
% 57.64/9.37 iG955(iG714($true),$true) | ~spl5880_3959),
% 57.64/9.37 inference(avatar_component_clause,[],[f101446])).
% 57.64/9.37 tff(f115169,plain,(
% 57.64/9.37 spl5880_5334 | ~spl5880_3948 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f114122,f113530,f101401,f115166])).
% 57.64/9.37 tff(f115166,plain,(
% 57.64/9.37 spl5880_5334 <=> iG967(h79,$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5334])])).
% 57.64/9.37 tff(f101401,plain,(
% 57.64/9.37 spl5880_3948 <=> iG967(iG714($true),$true)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3948])])).
% 57.64/9.37 tff(f114122,plain,(
% 57.64/9.37 iG967(h79,$true) | (~spl5880_3948 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f101403,f113531])).
% 57.64/9.37 tff(f101403,plain,(
% 57.64/9.37 iG967(iG714($true),$true) | ~spl5880_3948),
% 57.64/9.37 inference(avatar_component_clause,[],[f101401])).
% 57.64/9.37 tff(f115123,plain,(
% 57.64/9.37 spl5880_5333 | ~spl5880_2364 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f113985,f113530,f90473,f115121])).
% 57.64/9.37 tff(f115121,plain,(
% 57.64/9.37 spl5880_5333 <=> ! [X0 : int] : iG983(X0,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5333])])).
% 57.64/9.37 tff(f113985,plain,(
% 57.64/9.37 ( ! [X0 : int] : (iG983(X0,h79)) ) | (~spl5880_2364 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f90474,f113531])).
% 57.64/9.37 tff(f115070,plain,(
% 57.64/9.37 spl5880_5332 | ~spl5880_2365 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f113984,f113530,f90477,f115068])).
% 57.64/9.37 tff(f115068,plain,(
% 57.64/9.37 spl5880_5332 <=> ! [X0 : int] : iG984(X0,h79)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5332])])).
% 57.64/9.37 tff(f113984,plain,(
% 57.64/9.37 ( ! [X0 : int] : (iG984(X0,h79)) ) | (~spl5880_2365 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f90478,f113531])).
% 57.64/9.37 tff(f115031,plain,(
% 57.64/9.37 spl5880_5331 | ~spl5880_2245 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f113914,f113530,f89945,f115029])).
% 57.64/9.37 tff(f115029,plain,(
% 57.64/9.37 spl5880_5331 <=> ! [X0 : nat] : h79 != X0),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5331])])).
% 57.64/9.37 tff(f113914,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (h79 != X0) ) | (~spl5880_2245 | ~spl5880_5329)),
% 57.64/9.37 inference(superposition,[],[f89946,f113531])).
% 57.64/9.37 tff(f114697,plain,(
% 57.64/9.37 spl5880_5330 | ~spl5880_5329),
% 57.64/9.37 inference(avatar_split_clause,[],[f113622,f113530,f114695])).
% 57.64/9.37 tff(f113622,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : nat] : (X0 = X1) ) | ~spl5880_5329),
% 57.64/9.37 inference(superposition,[],[f113531,f113531])).
% 57.64/9.37 tff(f113532,plain,(
% 57.64/9.37 spl5880_5329 | ~spl5880_3090 | ~spl5880_4986 | ~spl5880_5328),
% 57.64/9.37 inference(avatar_split_clause,[],[f113470,f113410,f111182,f95611,f113530])).
% 57.64/9.37 tff(f95611,plain,(
% 57.64/9.37 spl5880_3090 <=> vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),na)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3090])])).
% 57.64/9.37 tff(f111182,plain,(
% 57.64/9.37 spl5880_4986 <=> ! [X0 : $tType,X4 : X0,X3 : list(X0),X2 : nat,X1 : nat] : (aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4) | X1 = X2)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4986])])).
% 57.64/9.37 tff(f113410,plain,(
% 57.64/9.37 spl5880_5328 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (h79 = X0 | ~vEBT_invar_vebt(iG1593(vEBT_VEBT,h79,X0,treeList,X1),na))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5328])])).
% 57.64/9.37 tff(f113470,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (~vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),na) | h79 = X0) ) | (~spl5880_4986 | ~spl5880_5328)),
% 57.64/9.37 inference(duplicate_literal_removal,[],[f113469])).
% 57.64/9.37 tff(f113469,plain,(
% 57.64/9.37 ( ! [X0 : nat] : (~vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),na) | h79 = X0 | h79 = X0) ) | (~spl5880_4986 | ~spl5880_5328)),
% 57.64/9.37 inference(superposition,[],[f113411,f111183])).
% 57.64/9.37 tff(f111183,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X2 : nat,X3 : list(X0),X1 : nat,X4 : X0] : (aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4) | X1 = X2) ) | ~spl5880_4986),
% 57.64/9.37 inference(avatar_component_clause,[],[f111182])).
% 57.64/9.37 tff(f113411,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(iG1593(vEBT_VEBT,h79,X0,treeList,X1),na) | h79 = X0) ) | ~spl5880_5328),
% 57.64/9.37 inference(avatar_component_clause,[],[f113410])).
% 57.64/9.37 tff(f113412,plain,(
% 57.64/9.37 spl5880_5328 | ~spl5880_2855 | ~spl5880_5326),
% 57.64/9.37 inference(avatar_split_clause,[],[f113329,f113000,f94529,f113410])).
% 57.64/9.37 tff(f94529,plain,(
% 57.64/9.37 spl5880_2855 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1811(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2855])])).
% 57.64/9.37 tff(f113000,plain,(
% 57.64/9.37 spl5880_5326 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(lG1811(iG1593(vEBT_VEBT,h79,X0,treeList,X1),l78),na) | h79 = X0)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5326])])).
% 57.64/9.37 tff(f113329,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (h79 = X0 | ~vEBT_invar_vebt(iG1593(vEBT_VEBT,h79,X0,treeList,X1),na)) ) | (~spl5880_2855 | ~spl5880_5326)),
% 57.64/9.37 inference(resolution,[],[f113001,f94530])).
% 57.64/9.37 tff(f94530,plain,(
% 57.64/9.37 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1811(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl5880_2855),
% 57.64/9.37 inference(avatar_component_clause,[],[f94529])).
% 57.64/9.37 tff(f113001,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(lG1811(iG1593(vEBT_VEBT,h79,X0,treeList,X1),l78),na) | h79 = X0) ) | ~spl5880_5326),
% 57.64/9.37 inference(avatar_component_clause,[],[f113000])).
% 57.64/9.37 tff(f113161,plain,(
% 57.64/9.37 ~spl5880_5327 | ~spl5880_4556 | ~spl5880_5029),
% 57.64/9.37 inference(avatar_split_clause,[],[f113156,f111562,f105987,f113158])).
% 57.64/9.37 tff(f113158,plain,(
% 57.64/9.37 spl5880_5327 <=> canoni5634975068530333245id_add(real)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5327])])).
% 57.64/9.37 tff(f105987,plain,(
% 57.64/9.37 spl5880_4556 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3376(X0)),X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4556])])).
% 57.64/9.37 tff(f111562,plain,(
% 57.64/9.37 spl5880_5029 <=> ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5029])])).
% 57.64/9.37 tff(f113156,plain,(
% 57.64/9.37 ~canoni5634975068530333245id_add(real) | (~spl5880_4556 | ~spl5880_5029)),
% 57.64/9.37 inference(trivial_inequality_removal,[],[f113153])).
% 57.64/9.37 tff(f113153,plain,(
% 57.64/9.37 ($true != $true) | ~canoni5634975068530333245id_add(real) | (~spl5880_4556 | ~spl5880_5029)),
% 57.64/9.37 inference(superposition,[],[f111563,f105988])).
% 57.64/9.37 tff(f105988,plain,(
% 57.64/9.37 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3376(X0)),X0))) ) | ~spl5880_4556),
% 57.64/9.37 inference(avatar_component_clause,[],[f105987])).
% 57.64/9.37 tff(f111563,plain,(
% 57.64/9.37 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0)) ) | ~spl5880_5029),
% 57.64/9.37 inference(avatar_component_clause,[],[f111562])).
% 57.64/9.37 tff(f113002,plain,(
% 57.64/9.37 spl5880_5326 | spl5880_719 | ~spl5880_2573 | ~spl5880_4986),
% 57.64/9.37 inference(avatar_split_clause,[],[f112986,f111182,f93028,f82038,f113000])).
% 57.64/9.37 tff(f82038,plain,(
% 57.64/9.37 spl5880_719 <=> vEBT_invar_vebt(lG1826(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_719])])).
% 57.64/9.37 tff(f93028,plain,(
% 57.64/9.37 spl5880_2573 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1826(X0,X1) = lG1811(X0,X1)),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_2573])])).
% 57.64/9.37 tff(f112986,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(lG1811(iG1593(vEBT_VEBT,h79,X0,treeList,X1),l78),na) | h79 = X0) ) | (spl5880_719 | ~spl5880_2573 | ~spl5880_4986)),
% 57.64/9.37 inference(forward_demodulation,[],[f112972,f93029])).
% 57.64/9.37 tff(f93029,plain,(
% 57.64/9.37 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1826(X0,X1) = lG1811(X0,X1)) ) | ~spl5880_2573),
% 57.64/9.37 inference(avatar_component_clause,[],[f93028])).
% 57.64/9.37 tff(f112972,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~vEBT_invar_vebt(lG1826(iG1593(vEBT_VEBT,h79,X0,treeList,X1),l78),na) | h79 = X0) ) | (spl5880_719 | ~spl5880_4986)),
% 57.64/9.37 inference(superposition,[],[f82040,f111183])).
% 57.64/9.37 tff(f82040,plain,(
% 57.64/9.37 ~vEBT_invar_vebt(lG1826(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na) | spl5880_719),
% 57.64/9.37 inference(avatar_component_clause,[],[f82038])).
% 57.64/9.37 tff(f112949,plain,(
% 57.64/9.37 spl5880_5325),
% 57.64/9.37 inference(avatar_split_clause,[],[f77459,f112947])).
% 57.64/9.37 tff(f112947,plain,(
% 57.64/9.37 spl5880_5325 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X2),X1)) | ~sP2459(X0,X1,X2))),
% 57.64/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5325])])).
% 57.64/9.37 tff(f77459,plain,(
% 57.64/9.37 ( ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X2),X1)) | ~sP2459(X0,X1,X2)) )),
% 57.64/9.37 inference(forward_demodulation,[],[f63700,f56791])).
% 57.64/9.37 tff(f56791,plain,(
% 57.64/9.37 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X0) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X0),X1)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f25344])).
% 57.64/9.37 tff(f25344,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X0) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X0),X1)),
% 57.64/9.37 inference(rectify,[],[f8381])).
% 57.64/9.37 tff(f8381,axiom,(
% 57.64/9.37 ! [X105 : nat,X448 : nat] : aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X105),X448) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X448),X105)),
% 57.64/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8380_ATP_Olambda__200)).
% 57.64/9.37 tff(f63700,plain,(
% 57.64/9.37 ( ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) | ~sP2459(X0,X1,X2)) )),
% 57.64/9.37 inference(cnf_transformation,[],[f45402])).
% 57.64/9.37 tff(f45402,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat,X2 : nat] : (((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5541(X0,X1,X2))),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK5540(X0,X1,X2)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5540(X0,X1,X2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK5541(X0,X1,X2))),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)) | ~sP2459(X0,X1,X2))),
% 57.64/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5540,sK5541])],[f45400,f45401])).
% 57.64/9.37 tff(f45401,plain,(
% 57.64/9.37 ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X4)),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)) => ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5541(X0,X1,X2))),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK5540(X0,X1,X2)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5540(X0,X1,X2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK5541(X0,X1,X2))),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f45400,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X4)),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)) | ~sP2459(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f45399])).
% 58.08/9.37 tff(f45399,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat,X2 : nat] : (? [X5 : nat,X6 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X6)),X0) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X6)),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)) | ~sP2459(X0,X1,X2))),
% 58.08/9.37 inference(nnf_transformation,[],[f37852])).
% 58.08/9.37 tff(f37852,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat,X2 : nat] : (? [X5 : nat,X6 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X6)),X0) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X6)),X0)) & dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)) & dvd_dvd(nat,X0,X1)) | ~sP2459(X0,X1,X2))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2459])])).
% 58.08/9.37 tff(f112945,plain,(
% 58.08/9.37 spl5880_5324 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5323),
% 58.08/9.37 inference(avatar_split_clause,[],[f112941,f112937,f103044,f86300,f112943])).
% 58.08/9.37 tff(f112943,plain,(
% 58.08/9.37 spl5880_5324 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG271)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5324])])).
% 58.08/9.37 tff(f86300,plain,(
% 58.08/9.37 spl5880_1536 <=> iG1228($true) = iG714($true)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1536])])).
% 58.08/9.37 tff(f103044,plain,(
% 58.08/9.37 spl5880_4145 <=> iG271 = iG714($true)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4145])])).
% 58.08/9.37 tff(f112937,plain,(
% 58.08/9.37 spl5880_5323 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG1228($true))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5323])])).
% 58.08/9.37 tff(f112941,plain,(
% 58.08/9.37 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG271)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5323)),
% 58.08/9.37 inference(forward_demodulation,[],[f112940,f103045])).
% 58.08/9.37 tff(f103045,plain,(
% 58.08/9.37 iG271 = iG714($true) | ~spl5880_4145),
% 58.08/9.37 inference(avatar_component_clause,[],[f103044])).
% 58.08/9.37 tff(f112940,plain,(
% 58.08/9.37 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG714($true))) ) | (~spl5880_1536 | ~spl5880_5323)),
% 58.08/9.37 inference(forward_demodulation,[],[f112938,f86302])).
% 58.08/9.37 tff(f86302,plain,(
% 58.08/9.37 iG1228($true) = iG714($true) | ~spl5880_1536),
% 58.08/9.37 inference(avatar_component_clause,[],[f86300])).
% 58.08/9.37 tff(f112938,plain,(
% 58.08/9.37 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG1228($true))) ) | ~spl5880_5323),
% 58.08/9.37 inference(avatar_component_clause,[],[f112937])).
% 58.08/9.37 tff(f112939,plain,(
% 58.08/9.37 spl5880_5323),
% 58.08/9.37 inference(avatar_split_clause,[],[f76763,f112937])).
% 58.08/9.37 tff(f76763,plain,(
% 58.08/9.37 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = aa(nat,nat,suc,iG1228($true))) )),
% 58.08/9.37 inference(forward_demodulation,[],[f62634,f69765])).
% 58.08/9.37 tff(f69765,plain,(
% 58.08/9.37 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG1228($true))),
% 58.08/9.37 inference(forward_demodulation,[],[f50076,f67101])).
% 58.08/9.37 tff(f67101,plain,(
% 58.08/9.37 one_one(nat) = iG1228($true)),
% 58.08/9.37 inference(equality_resolution,[],[f47276])).
% 58.08/9.37 tff(f47276,plain,(
% 58.08/9.37 ( ! [X1 : $o] : (one_one(nat) = iG1228(X1) | ($true != X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f27633])).
% 58.08/9.37 tff(f27633,plain,(
% 58.08/9.37 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1228(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG1228(X1) | ($true != X1))),
% 58.08/9.37 inference(ennf_transformation,[],[f21353])).
% 58.08/9.37 tff(f21353,plain,(
% 58.08/9.37 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1228(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1228(X1))),
% 58.08/9.37 inference(flattening,[],[f21352])).
% 58.08/9.37 tff(f21352,plain,(
% 58.08/9.37 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1228(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1228(X1))),
% 58.08/9.37 inference(rectify,[],[f17576])).
% 58.08/9.37 tff(f17576,plain,(
% 58.08/9.37 ! [X8 : $o] : (~($true = X8) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1228(X8)) & ! [X8 : $o] : (($true = X8) => one_one(nat) = iG1228(X8))),
% 58.08/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG1228])])).
% 58.08/9.37 tff(f50076,plain,(
% 58.08/9.37 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat))),
% 58.08/9.37 inference(cnf_transformation,[],[f508])).
% 58.08/9.37 tff(f508,axiom,(
% 58.08/9.37 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_507_Suc__1)).
% 58.08/9.37 tff(f62634,plain,(
% 58.08/9.37 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f26730])).
% 58.08/9.37 tff(f26730,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.37 inference(rectify,[],[f749])).
% 58.08/9.37 tff(f749,axiom,(
% 58.08/9.37 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT,X9 : nat] : aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = vEBT_T_m_e_m_b_e_r(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110),X9)),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_748_T_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_Osimps_I2_J)).
% 58.08/9.37 tff(f112935,plain,(
% 58.08/9.37 spl5880_5322 | ~spl5880_4896 | ~spl5880_5306),
% 58.08/9.37 inference(avatar_split_clause,[],[f112858,f112852,f108807,f112932])).
% 58.08/9.37 tff(f112932,plain,(
% 58.08/9.37 spl5880_5322 <=> sP2114($o,top_top(set($o)))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5322])])).
% 58.08/9.37 tff(f108807,plain,(
% 58.08/9.37 spl5880_4896 <=> aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG271)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_4896])])).
% 58.08/9.37 tff(f112852,plain,(
% 58.08/9.37 spl5880_5306 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG271) | sP2114(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5306])])).
% 58.08/9.37 tff(f112858,plain,(
% 58.08/9.37 sP2114($o,top_top(set($o))) | (~spl5880_4896 | ~spl5880_5306)),
% 58.08/9.37 inference(trivial_inequality_removal,[],[f112856])).
% 58.08/9.37 tff(f112856,plain,(
% 58.08/9.37 aa(nat,nat,suc,iG271) != aa(nat,nat,suc,iG271) | sP2114($o,top_top(set($o))) | (~spl5880_4896 | ~spl5880_5306)),
% 58.08/9.37 inference(superposition,[],[f112853,f108809])).
% 58.08/9.37 tff(f108809,plain,(
% 58.08/9.37 aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG271) | ~spl5880_4896),
% 58.08/9.37 inference(avatar_component_clause,[],[f108807])).
% 58.08/9.37 tff(f112853,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG271) | sP2114(X0,X1)) ) | ~spl5880_5306),
% 58.08/9.37 inference(avatar_component_clause,[],[f112852])).
% 58.08/9.37 tff(f112930,plain,(
% 58.08/9.37 spl5880_5321),
% 58.08/9.37 inference(avatar_split_clause,[],[f76760,f112928])).
% 58.08/9.37 tff(f112928,plain,(
% 58.08/9.37 spl5880_5321 <=> ! [X0 : $tType,X3 : num,X2 : fun(nat,X0),X1 : X0] : aa(nat,X0,X2,lG1553(X3)) = iG1545(X0,iG296(aa(num,code_integer,code_positive,X3)),X2,X1)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5321])])).
% 58.08/9.37 tff(f76760,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : num,X1 : X0] : (aa(nat,X0,X2,lG1553(X3)) = iG1545(X0,iG296(aa(num,code_integer,code_positive,X3)),X2,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f76759,f65842])).
% 58.08/9.37 tff(f76759,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : num,X1 : X0] : (aa(nat,X0,X2,lG1553(X3)) = iG1545(X0,lG696(aa(num,code_integer,code_positive,X3)),X2,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f76758,f69903])).
% 58.08/9.37 tff(f76758,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : num,X1 : X0] : (iG1545(X0,aa(num,nat,numeral_numeral(nat),X3),X2,X1) = aa(nat,X0,X2,lG1553(X3))) )),
% 58.08/9.37 inference(forward_demodulation,[],[f66428,f65286])).
% 58.08/9.37 tff(f65286,plain,(
% 58.08/9.37 ( ! [X0 : num] : (lG1586(X0) = lG1553(X0)) )),
% 58.08/9.37 inference(definition_unfolding,[],[f46645,f46570])).
% 58.08/9.37 tff(f46570,plain,(
% 58.08/9.37 ( ! [X0 : num] : (pred_numeral(X0) = lG1586(X0)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f20856])).
% 58.08/9.37 tff(f20856,plain,(
% 58.08/9.37 ! [X0 : num] : pred_numeral(X0) = lG1586(X0)),
% 58.08/9.37 inference(rectify,[],[f19504])).
% 58.08/9.37 tff(f19504,plain,(
% 58.08/9.37 ! [X3 : num] : pred_numeral(X3) = lG1586(X3)),
% 58.08/9.37 introduced(fool_let_definition,[new_symbols(definition,[lG1586])])).
% 58.08/9.37 tff(f46645,plain,(
% 58.08/9.37 ( ! [X0 : num] : (pred_numeral(X0) = lG1553(X0)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f20911])).
% 58.08/9.37 tff(f20911,plain,(
% 58.08/9.37 ! [X0 : num] : pred_numeral(X0) = lG1553(X0)),
% 58.08/9.37 inference(rectify,[],[f18975])).
% 58.08/9.37 tff(f18975,plain,(
% 58.08/9.37 ! [X3 : num] : pred_numeral(X3) = lG1553(X3)),
% 58.08/9.37 introduced(fool_let_definition,[new_symbols(definition,[lG1553])])).
% 58.08/9.37 tff(f66428,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : num,X1 : X0] : (iG1545(X0,aa(num,nat,numeral_numeral(nat),X3),X2,X1) = aa(nat,X0,X2,lG1586(X3))) )),
% 58.08/9.37 inference(definition_unfolding,[],[f62627,f62782,f46570])).
% 58.08/9.37 tff(f62782,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : nat,X1 : X0] : (case_nat(X0,X1,X2,X3) = iG1545(X0,X3,X2,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f18952])).
% 58.08/9.37 tff(f18952,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0),X3 : nat] : case_nat(X0,X1,X2,X3) = iG1545(X0,X3,X2,X1)),
% 58.08/9.37 inference(fool_elimination,[],[f18950,f18951])).
% 58.08/9.37 tff(f18951,plain,(
% 58.08/9.37 ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : (~zero_zero(nat) = X3 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))) = iG1545(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : (zero_zero(nat) = X3 => iG1545(X0,X3,X2,X1) = X1)),
% 58.08/9.37 introduced(fool_ite_definition,[new_symbols(definition,[iG1545])])).
% 58.08/9.37 tff(f18950,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0),X3 : nat] : case_nat(X0,X1,X2,X3) = $ite(zero_zero(nat) = X3, X1,aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))))),
% 58.08/9.37 inference(rectify,[],[f5502])).
% 58.08/9.37 tff(f5502,axiom,(
% 58.08/9.37 ! [X0 : $tType,X9 : X0,X30 : fun(nat,X0),X8 : nat] : case_nat(X0,X9,X30,X8) = $ite(zero_zero(nat) = X8, X9,aa(nat,X0,X30,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5501_Nitpick_Ocase__nat__unfold)).
% 58.08/9.37 tff(f62627,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : num,X1 : X0] : (case_nat(X0,X1,X2,aa(num,nat,numeral_numeral(nat),X3)) = aa(nat,X0,X2,pred_numeral(X3))) )),
% 58.08/9.37 inference(cnf_transformation,[],[f26723])).
% 58.08/9.37 tff(f26723,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0),X3 : num] : case_nat(X0,X1,X2,aa(num,nat,numeral_numeral(nat),X3)) = aa(nat,X0,X2,pred_numeral(X3))),
% 58.08/9.37 inference(rectify,[],[f5487])).
% 58.08/9.37 tff(f5487,axiom,(
% 58.08/9.37 ! [X0 : $tType,X11 : X0,X30 : fun(nat,X0),X16 : num] : case_nat(X0,X11,X30,aa(num,nat,numeral_numeral(nat),X16)) = aa(nat,X0,X30,pred_numeral(X16))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5486_case__nat__numeral)).
% 58.08/9.37 tff(f112926,plain,(
% 58.08/9.37 spl5880_5320),
% 58.08/9.37 inference(avatar_split_clause,[],[f75817,f112924])).
% 58.08/9.37 tff(f112924,plain,(
% 58.08/9.37 spl5880_5320 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,X1,iG1564(zero_zero(int),X0)))) | ~sP2326(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5320])])).
% 58.08/9.37 tff(f75817,plain,(
% 58.08/9.37 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,X1,iG1564(zero_zero(int),X0)))) | ~sP2326(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61360,f66895])).
% 58.08/9.37 tff(f61360,plain,(
% 58.08/9.37 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,X1,aa(int,int,uminus_uminus(int),X0)))) | ~sP2326(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43868])).
% 58.08/9.37 tff(f43868,plain,(
% 58.08/9.37 ! [X0 : int,X1 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X1,aa(int,int,uminus_uminus(int),X0)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | ~sP2326(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43867])).
% 58.08/9.37 tff(f43867,plain,(
% 58.08/9.37 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X0,aa(int,int,uminus_uminus(int),X1)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2326(X1,X0,X2))),
% 58.08/9.37 inference(nnf_transformation,[],[f37643])).
% 58.08/9.37 tff(f37643,plain,(
% 58.08/9.37 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X0,aa(int,int,uminus_uminus(int),X1)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2326(X1,X0,X2))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2326])])).
% 58.08/9.37 tff(f112922,plain,(
% 58.08/9.37 spl5880_5319),
% 58.08/9.37 inference(avatar_split_clause,[],[f75816,f112920])).
% 58.08/9.37 tff(f112920,plain,(
% 58.08/9.37 spl5880_5319 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,iG1564(zero_zero(int),X1),X0))) | ~sP2327(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5319])])).
% 58.08/9.37 tff(f75816,plain,(
% 58.08/9.37 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,iG1564(zero_zero(int),X1),X0))) | ~sP2327(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61357,f66895])).
% 58.08/9.37 tff(f61357,plain,(
% 58.08/9.37 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,aa(int,int,uminus_uminus(int),X1),X0))) | ~sP2327(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43866])).
% 58.08/9.37 tff(f43866,plain,(
% 58.08/9.37 ! [X0 : int,X1 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,aa(int,int,uminus_uminus(int),X1),X0))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),zero_zero(int)))) | ~sP2327(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43865])).
% 58.08/9.37 tff(f43865,plain,(
% 58.08/9.37 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,aa(int,int,uminus_uminus(int),X0),X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | ~sP2327(X1,X0,X2))),
% 58.08/9.37 inference(nnf_transformation,[],[f37644])).
% 58.08/9.37 tff(f37644,plain,(
% 58.08/9.37 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,aa(int,int,uminus_uminus(int),X0),X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | ~sP2327(X1,X0,X2))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2327])])).
% 58.08/9.37 tff(f112918,plain,(
% 58.08/9.37 spl5880_5318),
% 58.08/9.37 inference(avatar_split_clause,[],[f75775,f112916])).
% 58.08/9.37 tff(f112916,plain,(
% 58.08/9.37 spl5880_5318 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4912(X0,X1,X2)),one2) = X0 | ~sP2315(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5318])])).
% 58.08/9.37 tff(f75775,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4912(X0,X1,X2)),one2) = X0 | ~sP2315(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61227,f50374])).
% 58.08/9.37 tff(f61227,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4912(X0,X1,X2))) = X0 | ~sP2315(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43781])).
% 58.08/9.37 tff(f43781,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4912(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4912(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4912(X0,X1,X2)) = X2) | ~sP2315(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4912])],[f43779,f43780])).
% 58.08/9.37 tff(f43780,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4912(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4912(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4912(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43779,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP2315(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43778])).
% 58.08/9.37 tff(f43778,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP2315(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37630])).
% 58.08/9.37 tff(f37630,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2315(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2315])])).
% 58.08/9.37 tff(f112914,plain,(
% 58.08/9.37 spl5880_5317),
% 58.08/9.37 inference(avatar_split_clause,[],[f75763,f112912])).
% 58.08/9.37 tff(f112912,plain,(
% 58.08/9.37 spl5880_5317 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4888(X0,X1,X2)),one2) = X0 | ~sP2299(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5317])])).
% 58.08/9.37 tff(f75763,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4888(X0,X1,X2)),one2) = X0 | ~sP2299(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61172,f50374])).
% 58.08/9.37 tff(f61172,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4888(X0,X1,X2))) = X0 | ~sP2299(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43707])).
% 58.08/9.37 tff(f43707,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK4888(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4888(X0,X1,X2)) = X2) | ~sP2299(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4888])],[f43705,f43706])).
% 58.08/9.37 tff(f43706,plain,(
% 58.08/9.37 ! [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,sK4888(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4888(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43705,plain,(
% 58.08/9.37 ! [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) | ~sP2299(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43704])).
% 58.08/9.37 tff(f43704,plain,(
% 58.08/9.37 ! [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) | ~sP2299(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37612])).
% 58.08/9.37 tff(f37612,plain,(
% 58.08/9.37 ! [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) | ~sP2299(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2299])])).
% 58.08/9.37 tff(f112910,plain,(
% 58.08/9.37 spl5880_5316),
% 58.08/9.37 inference(avatar_split_clause,[],[f75731,f112908])).
% 58.08/9.37 tff(f112908,plain,(
% 58.08/9.37 spl5880_5316 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4853(X0,X1,X2)),one2) = X0 | ~sP2287(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5316])])).
% 58.08/9.37 tff(f75731,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4853(X0,X1,X2)),one2) = X0 | ~sP2287(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61075,f50374])).
% 58.08/9.37 tff(f61075,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4853(X0,X1,X2))) = X0 | ~sP2287(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43635])).
% 58.08/9.37 tff(f43635,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4853(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4853(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4853(X0,X1,X2)) = X2) | ~sP2287(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4853])],[f43633,f43634])).
% 58.08/9.37 tff(f43634,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4853(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4853(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4853(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43633,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP2287(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43632])).
% 58.08/9.37 tff(f43632,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2287(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37598])).
% 58.08/9.37 tff(f37598,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2287(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2287])])).
% 58.08/9.37 tff(f112906,plain,(
% 58.08/9.37 spl5880_5315),
% 58.08/9.37 inference(avatar_split_clause,[],[f75728,f112904])).
% 58.08/9.37 tff(f112904,plain,(
% 58.08/9.37 spl5880_5315 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4848(X0,X1,X2)),one2) = X0 | ~sP2290(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5315])])).
% 58.08/9.37 tff(f75728,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4848(X0,X1,X2)),one2) = X0 | ~sP2290(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61063,f50374])).
% 58.08/9.37 tff(f61063,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4848(X0,X1,X2))) = X0 | ~sP2290(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43621])).
% 58.08/9.37 tff(f43621,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4848(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4848(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4848(X0,X1,X2)) = X2) | ~sP2290(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4848])],[f43619,f43620])).
% 58.08/9.37 tff(f43620,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4848(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4848(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4848(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43619,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP2290(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43618])).
% 58.08/9.37 tff(f43618,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2))) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP2290(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37601])).
% 58.08/9.37 tff(f37601,plain,(
% 58.08/9.37 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2290(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2290])])).
% 58.08/9.37 tff(f112902,plain,(
% 58.08/9.37 spl5880_5314),
% 58.08/9.37 inference(avatar_split_clause,[],[f75725,f112900])).
% 58.08/9.37 tff(f112900,plain,(
% 58.08/9.37 spl5880_5314 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4841(X0,X1,X2)),one2) = X0 | ~sP2279(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5314])])).
% 58.08/9.37 tff(f75725,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4841(X0,X1,X2)),one2) = X0 | ~sP2279(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61044,f50374])).
% 58.08/9.37 tff(f61044,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4841(X0,X1,X2))) = X0 | ~sP2279(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43598])).
% 58.08/9.37 tff(f43598,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK4841(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4841(X0,X1,X2)) = X2) | ~sP2279(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4841])],[f43596,f43597])).
% 58.08/9.37 tff(f43597,plain,(
% 58.08/9.37 ! [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,sK4841(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4841(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43596,plain,(
% 58.08/9.37 ! [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) | ~sP2279(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43595])).
% 58.08/9.37 tff(f43595,plain,(
% 58.08/9.37 ! [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) | ~sP2279(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37589])).
% 58.08/9.37 tff(f37589,plain,(
% 58.08/9.37 ! [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) | ~sP2279(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2279])])).
% 58.08/9.37 tff(f112898,plain,(
% 58.08/9.37 spl5880_5313),
% 58.08/9.37 inference(avatar_split_clause,[],[f75722,f112896])).
% 58.08/9.37 tff(f112896,plain,(
% 58.08/9.37 spl5880_5313 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4836(X0,X1,X2)),one2) = X0 | ~sP2282(X0,X1,X2))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5313])])).
% 58.08/9.37 tff(f75722,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4836(X0,X1,X2)),one2) = X0 | ~sP2282(X0,X1,X2)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f61035,f50374])).
% 58.08/9.37 tff(f61035,plain,(
% 58.08/9.37 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4836(X0,X1,X2))) = X0 | ~sP2282(X0,X1,X2)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43584])).
% 58.08/9.37 tff(f43584,plain,(
% 58.08/9.37 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK4836(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4836(X0,X1,X2)) = X2) | ~sP2282(X0,X1,X2))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4836])],[f43582,f43583])).
% 58.08/9.37 tff(f43583,plain,(
% 58.08/9.37 ! [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,sK4836(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK4836(X0,X1,X2)) = X2))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43582,plain,(
% 58.08/9.37 ! [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) | ~sP2282(X0,X1,X2))),
% 58.08/9.37 inference(rectify,[],[f43581])).
% 58.08/9.37 tff(f43581,plain,(
% 58.08/9.37 ! [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) | ~sP2282(X2,X1,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37592])).
% 58.08/9.37 tff(f37592,plain,(
% 58.08/9.37 ! [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) | ~sP2282(X2,X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2282])])).
% 58.08/9.37 tff(f112893,plain,(
% 58.08/9.37 spl5880_5312),
% 58.08/9.37 inference(avatar_split_clause,[],[f75510,f112891])).
% 58.08/9.37 tff(f75510,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f60782,f67338])).
% 58.08/9.37 tff(f60782,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X1 | ~sP2212(X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43268])).
% 58.08/9.37 tff(f43268,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : ((vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X0 & vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X1) | ~sP2212(X0,X1))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4609,sK4610,sK4611])],[f43266,f43267])).
% 58.08/9.37 tff(f43267,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (vEBT_Node(X2,zero_zero(nat),X3,X4) = X0 & vEBT_Node(X2,zero_zero(nat),X3,X4) = X1) => (vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X0 & vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X1))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43266,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (vEBT_Node(X2,zero_zero(nat),X3,X4) = X0 & vEBT_Node(X2,zero_zero(nat),X3,X4) = X1) | ~sP2212(X0,X1))),
% 58.08/9.37 inference(rectify,[],[f43265])).
% 58.08/9.37 tff(f43265,plain,(
% 58.08/9.37 ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X5,zero_zero(nat),X6,X7) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2212(X2,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37510])).
% 58.08/9.37 tff(f37510,plain,(
% 58.08/9.37 ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X5,zero_zero(nat),X6,X7) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2212(X2,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2212])])).
% 58.08/9.37 tff(f112883,plain,(
% 58.08/9.37 spl5880_5311),
% 58.08/9.37 inference(avatar_split_clause,[],[f75509,f112881])).
% 58.08/9.37 tff(f75509,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),iG894($true),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f60783,f67338])).
% 58.08/9.37 tff(f60783,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4609(X0,X1),zero_zero(nat),sK4610(X0,X1),sK4611(X0,X1)) = X0 | ~sP2212(X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43268])).
% 58.08/9.37 tff(f112879,plain,(
% 58.08/9.37 spl5880_5310 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5309),
% 58.08/9.37 inference(avatar_split_clause,[],[f112875,f112871,f103044,f86300,f112877])).
% 58.08/9.37 tff(f112877,plain,(
% 58.08/9.37 spl5880_5310 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG271,sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5310])])).
% 58.08/9.37 tff(f112871,plain,(
% 58.08/9.37 spl5880_5309 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5309])])).
% 58.08/9.37 tff(f112875,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG271,sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5309)),
% 58.08/9.37 inference(forward_demodulation,[],[f112874,f103045])).
% 58.08/9.37 tff(f112874,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG714($true),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) ) | (~spl5880_1536 | ~spl5880_5309)),
% 58.08/9.37 inference(forward_demodulation,[],[f112872,f86302])).
% 58.08/9.37 tff(f112872,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) ) | ~spl5880_5309),
% 58.08/9.37 inference(avatar_component_clause,[],[f112871])).
% 58.08/9.37 tff(f112873,plain,(
% 58.08/9.37 spl5880_5309),
% 58.08/9.37 inference(avatar_split_clause,[],[f75508,f112871])).
% 58.08/9.37 tff(f75508,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f75507,f69743])).
% 58.08/9.37 tff(f69743,plain,(
% 58.08/9.37 iG1228($true) = aa(nat,nat,suc,iG894($true))),
% 58.08/9.37 inference(forward_demodulation,[],[f69742,f67101])).
% 58.08/9.37 tff(f69742,plain,(
% 58.08/9.37 one_one(nat) = aa(nat,nat,suc,iG894($true))),
% 58.08/9.37 inference(forward_demodulation,[],[f50042,f67338])).
% 58.08/9.37 tff(f50042,plain,(
% 58.08/9.37 one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 58.08/9.37 inference(cnf_transformation,[],[f1248])).
% 58.08/9.37 tff(f1248,axiom,(
% 58.08/9.37 one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1247_One__nat__def)).
% 58.08/9.37 tff(f75507,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,iG894($true)),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f60780,f67338])).
% 58.08/9.37 tff(f60780,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X1 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43264])).
% 58.08/9.37 tff(f43264,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : ((vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X0 & vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X1) | ~sP2213(X0,X1))),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4606,sK4607,sK4608])],[f43262,f43263])).
% 58.08/9.37 tff(f43263,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X0 & vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1) => (vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X0 & vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X1))),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f43262,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X0 & vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1) | ~sP2213(X0,X1))),
% 58.08/9.37 inference(rectify,[],[f43261])).
% 58.08/9.37 tff(f43261,plain,(
% 58.08/9.37 ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2213(X2,X0))),
% 58.08/9.37 inference(nnf_transformation,[],[f37511])).
% 58.08/9.37 tff(f37511,plain,(
% 58.08/9.37 ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2213(X2,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2213])])).
% 58.08/9.37 tff(f112869,plain,(
% 58.08/9.37 spl5880_5308 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5307),
% 58.08/9.37 inference(avatar_split_clause,[],[f112865,f112861,f103044,f86300,f112867])).
% 58.08/9.37 tff(f112867,plain,(
% 58.08/9.37 spl5880_5308 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG271,sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5308])])).
% 58.08/9.37 tff(f112861,plain,(
% 58.08/9.37 spl5880_5307 <=> ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5307])])).
% 58.08/9.37 tff(f112865,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG271,sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5307)),
% 58.08/9.37 inference(forward_demodulation,[],[f112864,f103045])).
% 58.08/9.37 tff(f112864,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG714($true),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) ) | (~spl5880_1536 | ~spl5880_5307)),
% 58.08/9.37 inference(forward_demodulation,[],[f112862,f86302])).
% 58.08/9.37 tff(f112862,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) ) | ~spl5880_5307),
% 58.08/9.37 inference(avatar_component_clause,[],[f112861])).
% 58.08/9.37 tff(f112863,plain,(
% 58.08/9.37 spl5880_5307),
% 58.08/9.37 inference(avatar_split_clause,[],[f75506,f112861])).
% 58.08/9.37 tff(f75506,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),iG1228($true),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f75505,f69743])).
% 58.08/9.37 tff(f75505,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,iG894($true)),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f60781,f67338])).
% 58.08/9.37 tff(f60781,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : vEBT_VEBT] : (vEBT_Node(sK4606(X0,X1),aa(nat,nat,suc,zero_zero(nat)),sK4607(X0,X1),sK4608(X0,X1)) = X0 | ~sP2213(X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f43264])).
% 58.08/9.37 tff(f112854,plain,(
% 58.08/9.37 spl5880_5306 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5305),
% 58.08/9.37 inference(avatar_split_clause,[],[f112850,f112846,f103044,f86300,f112852])).
% 58.08/9.37 tff(f112846,plain,(
% 58.08/9.37 spl5880_5305 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG1228($true)) | sP2114(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5305])])).
% 58.08/9.37 tff(f112850,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG271) | sP2114(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5305)),
% 58.08/9.37 inference(forward_demodulation,[],[f112849,f103045])).
% 58.08/9.37 tff(f112849,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG714($true)) | sP2114(X0,X1)) ) | (~spl5880_1536 | ~spl5880_5305)),
% 58.08/9.37 inference(forward_demodulation,[],[f112847,f86302])).
% 58.08/9.37 tff(f112847,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG1228($true)) | sP2114(X0,X1)) ) | ~spl5880_5305),
% 58.08/9.37 inference(avatar_component_clause,[],[f112846])).
% 58.08/9.37 tff(f112848,plain,(
% 58.08/9.37 spl5880_5305),
% 58.08/9.37 inference(avatar_split_clause,[],[f74420,f112846])).
% 58.08/9.37 tff(f74420,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) != aa(nat,nat,suc,iG1228($true)) | sP2114(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f59578,f69765])).
% 58.08/9.37 tff(f59578,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (sP2114(X0,X1) | aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) != aa(set(X0),nat,finite_card(X0),X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f42511])).
% 58.08/9.37 tff(f42511,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) | ~sP2114(X0,X1)) & (sP2114(X0,X1) | aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) != aa(set(X0),nat,finite_card(X0),X1)))),
% 58.08/9.37 inference(nnf_transformation,[],[f37379])).
% 58.08/9.37 tff(f37379,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) <=> sP2114(X0,X1))),
% 58.08/9.37 inference(definition_folding,[],[f34952,f37378])).
% 58.08/9.37 tff(f37378,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (sP2114(X0,X1) <=> ? [X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | X2 = X4 | ~member(X0,X4,X1)) & X2 != X3 & member(X0,X3,X1)) & member(X0,X2,X1)))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2114])])).
% 58.08/9.37 tff(f34952,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) <=> ? [X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | X2 = X4 | ~member(X0,X4,X1)) & X2 != X3 & member(X0,X3,X1)) & member(X0,X2,X1)))),
% 58.08/9.37 inference(flattening,[],[f34951])).
% 58.08/9.37 tff(f34951,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) <=> ? [X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : ((X3 = X4 | X2 = X4) | ~member(X0,X4,X1)) & X2 != X3 & member(X0,X3,X1)) & member(X0,X2,X1)))),
% 58.08/9.37 inference(ennf_transformation,[],[f26247])).
% 58.08/9.37 tff(f26247,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) <=> ? [X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (X3 = X4 | X2 = X4)) & X2 != X3 & member(X0,X3,X1)) & member(X0,X2,X1)))),
% 58.08/9.37 inference(rectify,[],[f5354])).
% 58.08/9.37 tff(f5354,axiom,(
% 58.08/9.37 ! [X0 : $tType,X93 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X93) <=> ? [X65 : X0] : (? [X210 : X0] : (! [X291 : X0] : (member(X0,X291,X93) => (X210 = X291 | X65 = X291)) & X65 != X210 & member(X0,X210,X93)) & member(X0,X65,X93)))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5353_card__2__iff_H)).
% 58.08/9.37 tff(f112841,plain,(
% 58.08/9.37 spl5880_5304 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5303),
% 58.08/9.37 inference(avatar_split_clause,[],[f112837,f112833,f103044,f86300,f112839])).
% 58.08/9.37 tff(f112839,plain,(
% 58.08/9.37 spl5880_5304 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG271) | ~sP2114(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5304])])).
% 58.08/9.37 tff(f112833,plain,(
% 58.08/9.37 spl5880_5303 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG1228($true)) | ~sP2114(X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5303])])).
% 58.08/9.37 tff(f112837,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG271) | ~sP2114(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5303)),
% 58.08/9.37 inference(forward_demodulation,[],[f112836,f103045])).
% 58.08/9.37 tff(f112836,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG714($true)) | ~sP2114(X0,X1)) ) | (~spl5880_1536 | ~spl5880_5303)),
% 58.08/9.37 inference(forward_demodulation,[],[f112834,f86302])).
% 58.08/9.37 tff(f112834,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG1228($true)) | ~sP2114(X0,X1)) ) | ~spl5880_5303),
% 58.08/9.37 inference(avatar_component_clause,[],[f112833])).
% 58.08/9.37 tff(f112835,plain,(
% 58.08/9.37 spl5880_5303),
% 58.08/9.37 inference(avatar_split_clause,[],[f74419,f112833])).
% 58.08/9.37 tff(f74419,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),X1) = aa(nat,nat,suc,iG1228($true)) | ~sP2114(X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f59579,f69765])).
% 58.08/9.37 tff(f59579,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set(X0),nat,finite_card(X0),X1) | ~sP2114(X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f42511])).
% 58.08/9.37 tff(f112831,plain,(
% 58.08/9.37 spl5880_5302),
% 58.08/9.37 inference(avatar_split_clause,[],[f74406,f112829])).
% 58.08/9.37 tff(f112829,plain,(
% 58.08/9.37 spl5880_5302 <=> ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X0),X1)) | ~dvd_dvd(nat,X0,X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5302])])).
% 58.08/9.37 tff(f74406,plain,(
% 58.08/9.37 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X0),X1)) | ~dvd_dvd(nat,X0,X1)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f59562,f56793])).
% 58.08/9.37 tff(f56793,plain,(
% 58.08/9.37 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = aa(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X0),X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f25346])).
% 58.08/9.37 tff(f25346,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = aa(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X0),X1)),
% 58.08/9.37 inference(rectify,[],[f8377])).
% 58.08/9.37 tff(f8377,axiom,(
% 58.08/9.37 ! [X105 : nat,X448 : nat] : aa(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X105),X448) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X448),X105)),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8376_ATP_Olambda__196)).
% 58.08/9.37 tff(f59562,plain,(
% 58.08/9.37 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)) | ~dvd_dvd(nat,X0,X1)) )),
% 58.08/9.37 inference(cnf_transformation,[],[f42498])).
% 58.08/9.37 tff(f42498,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat] : ((dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)) | (~dvd_dvd(nat,X0,X1) & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)))) & (dvd_dvd(nat,X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | ~dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0))))),
% 58.08/9.37 inference(flattening,[],[f42497])).
% 58.08/9.37 tff(f42497,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat] : ((dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)) | (~dvd_dvd(nat,X0,X1) & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)))) & ((dvd_dvd(nat,X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) | ~dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0))))),
% 58.08/9.37 inference(nnf_transformation,[],[f16622])).
% 58.08/9.37 tff(f16622,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)) <=> (dvd_dvd(nat,X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))))),
% 58.08/9.37 inference(fool_elimination,[],[f16621])).
% 58.08/9.37 tff(f16621,plain,(
% 58.08/9.37 ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)) <=> (dvd_dvd(nat,X0,X1) | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)))),
% 58.08/9.37 inference(rectify,[],[f2030])).
% 58.08/9.37 tff(f2030,axiom,(
% 58.08/9.37 ! [X15 : nat,X8 : nat] : (dvd_dvd(nat,X15,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),X15)) <=> (dvd_dvd(nat,X15,X8) | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X15)))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2029_dvd__minus__self)).
% 58.08/9.37 tff(f112827,plain,(
% 58.08/9.37 spl5880_5301),
% 58.08/9.37 inference(avatar_split_clause,[],[f74364,f112824])).
% 58.08/9.37 tff(f112824,plain,(
% 58.08/9.37 spl5880_5301 <=> bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),bot_bot(extended_enat)),bot_bot(extended_enat))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5301])])).
% 58.08/9.37 tff(f74364,plain,(
% 58.08/9.37 bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),bot_bot(extended_enat)),bot_bot(extended_enat))),
% 58.08/9.37 inference(forward_demodulation,[],[f68368,f50006])).
% 58.08/9.37 tff(f50006,plain,(
% 58.08/9.37 zero_zero(extended_enat) = bot_bot(extended_enat)),
% 58.08/9.37 inference(cnf_transformation,[],[f2277])).
% 58.08/9.37 tff(f2277,axiom,(
% 58.08/9.37 zero_zero(extended_enat) = bot_bot(extended_enat)),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2276_bot__enat__def)).
% 58.08/9.37 tff(f68368,plain,(
% 58.08/9.37 zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),zero_zero(extended_enat)),zero_zero(extended_enat))),
% 58.08/9.37 inference(equality_resolution,[],[f68367])).
% 58.08/9.37 tff(f68367,plain,(
% 58.08/9.37 ( ! [X0 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),zero_zero(extended_enat)) | zero_zero(extended_enat) != X0) )),
% 58.08/9.37 inference(equality_resolution,[],[f59536])).
% 58.08/9.37 tff(f59536,plain,(
% 58.08/9.37 ( ! [X0 : extended_enat,X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1) | zero_zero(extended_enat) != X1 | zero_zero(extended_enat) != X0) )),
% 58.08/9.37 inference(cnf_transformation,[],[f42481])).
% 58.08/9.37 tff(f42481,plain,(
% 58.08/9.37 ! [X0 : extended_enat,X1 : extended_enat] : ((zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1) | zero_zero(extended_enat) != X1 | zero_zero(extended_enat) != X0) & ((zero_zero(extended_enat) = X1 & zero_zero(extended_enat) = X0) | zero_zero(extended_enat) != aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1)))),
% 58.08/9.37 inference(flattening,[],[f42480])).
% 58.08/9.37 tff(f42480,plain,(
% 58.08/9.37 ! [X0 : extended_enat,X1 : extended_enat] : ((zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1) | (zero_zero(extended_enat) != X1 | zero_zero(extended_enat) != X0)) & ((zero_zero(extended_enat) = X1 & zero_zero(extended_enat) = X0) | zero_zero(extended_enat) != aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1)))),
% 58.08/9.37 inference(nnf_transformation,[],[f26237])).
% 58.08/9.37 tff(f26237,plain,(
% 58.08/9.37 ! [X0 : extended_enat,X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X0),X1) <=> (zero_zero(extended_enat) = X1 & zero_zero(extended_enat) = X0))),
% 58.08/9.37 inference(rectify,[],[f1587])).
% 58.08/9.37 tff(f1587,axiom,(
% 58.08/9.37 ! [X15 : extended_enat,X8 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),plus_plus(extended_enat),X15),X8) <=> (zero_zero(extended_enat) = X8 & zero_zero(extended_enat) = X15))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1586_iadd__is__0)).
% 58.08/9.37 tff(f112810,plain,(
% 58.08/9.37 spl5880_5300 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5299),
% 58.08/9.37 inference(avatar_split_clause,[],[f112806,f112802,f103044,f86300,f112808])).
% 58.08/9.37 tff(f112808,plain,(
% 58.08/9.37 spl5880_5300 <=> ! [X0 : $tType] : dvd_dvd(nat,aa(nat,nat,suc,iG271),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5300])])).
% 58.08/9.37 tff(f112802,plain,(
% 58.08/9.37 spl5880_5299 <=> ! [X0 : $tType] : dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5299])])).
% 58.08/9.37 tff(f112806,plain,(
% 58.08/9.37 ( ! [X0 : $tType] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5299)),
% 58.08/9.37 inference(forward_demodulation,[],[f112805,f103045])).
% 58.08/9.37 tff(f112805,plain,(
% 58.08/9.37 ( ! [X0 : $tType] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))) ) | (~spl5880_1536 | ~spl5880_5299)),
% 58.08/9.37 inference(forward_demodulation,[],[f112803,f86302])).
% 58.08/9.37 tff(f112803,plain,(
% 58.08/9.37 ( ! [X0 : $tType] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))) ) | ~spl5880_5299),
% 58.08/9.37 inference(avatar_component_clause,[],[f112802])).
% 58.08/9.37 tff(f112804,plain,(
% 58.08/9.37 spl5880_5299),
% 58.08/9.37 inference(avatar_split_clause,[],[f73376,f112802])).
% 58.08/9.37 tff(f73376,plain,(
% 58.08/9.37 ( ! [X0 : $tType] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))) )),
% 58.08/9.37 inference(forward_demodulation,[],[f68228,f69765])).
% 58.08/9.37 tff(f68228,plain,(
% 58.08/9.37 ( ! [X0 : $tType] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(set(X0),nat,finite_card(X0),bot_bot(set(X0))))) )),
% 58.08/9.37 inference(equality_resolution,[],[f58323])).
% 58.08/9.37 tff(f58323,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : set(X0)] : (bot_bot(set(X0)) != X1 | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(set(X0),nat,finite_card(X0),X1))) )),
% 58.08/9.37 inference(cnf_transformation,[],[f33912])).
% 58.08/9.37 tff(f33912,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (bot_bot(set(X0)) != X1 | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(set(X0),nat,finite_card(X0),X1)))),
% 58.08/9.37 inference(ennf_transformation,[],[f26027])).
% 58.08/9.37 tff(f26027,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : set(X0)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(set(X0),nat,finite_card(X0),X1)) => bot_bot(set(X0)) != X1)),
% 58.08/9.37 inference(rectify,[],[f5400])).
% 58.08/9.37 tff(f5400,axiom,(
% 58.08/9.37 ! [X0 : $tType,X27 : set(X0)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(set(X0),nat,finite_card(X0),X27)) => bot_bot(set(X0)) != X27)),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5399_odd__card__imp__not__empty)).
% 58.08/9.37 tff(f112799,plain,(
% 58.08/9.37 spl5880_5298),
% 58.08/9.37 inference(avatar_split_clause,[],[f73272,f112797])).
% 58.08/9.37 tff(f73272,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),iG894($true)) | nil(X0) = X1) )),
% 58.08/9.37 inference(forward_demodulation,[],[f58226,f67338])).
% 58.08/9.37 tff(f58226,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : list(X0)] : (aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1) | nil(X0) = X1) )),
% 58.08/9.37 inference(cnf_transformation,[],[f33835])).
% 58.08/9.37 tff(f33835,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : list(X0)] : (aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1) | nil(X0) = X1)),
% 58.08/9.37 inference(ennf_transformation,[],[f25984])).
% 58.08/9.37 tff(f25984,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1))),
% 58.08/9.37 inference(rectify,[],[f7868])).
% 58.08/9.37 tff(f7868,axiom,(
% 58.08/9.37 ! [X0 : $tType,X64 : list(X0)] : (nil(X0) != X64 => hd(X0,X64) = aa(nat,X0,nth(X0,X64),zero_zero(nat)))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7867_hd__conv__nth)).
% 58.08/9.37 tff(f112787,plain,(
% 58.08/9.37 spl5880_5297 | ~spl5880_1487 | ~spl5880_5017),
% 58.08/9.37 inference(avatar_split_clause,[],[f111480,f111469,f86041,f112784])).
% 58.08/9.37 tff(f112784,plain,(
% 58.08/9.37 spl5880_5297 <=> ($true = bG319(zero_zero(int)))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5297])])).
% 58.08/9.37 tff(f86041,plain,(
% 58.08/9.37 spl5880_1487 <=> ! [X0 : int] : dvd_dvd(int,X0,zero_zero(int))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_1487])])).
% 58.08/9.37 tff(f111469,plain,(
% 58.08/9.37 spl5880_5017 <=> ! [X0 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true = bG319(X0)))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5017])])).
% 58.08/9.37 tff(f111480,plain,(
% 58.08/9.37 ($true = bG319(zero_zero(int))) | (~spl5880_1487 | ~spl5880_5017)),
% 58.08/9.37 inference(resolution,[],[f111470,f86042])).
% 58.08/9.37 tff(f86042,plain,(
% 58.08/9.37 ( ! [X0 : int] : (dvd_dvd(int,X0,zero_zero(int))) ) | ~spl5880_1487),
% 58.08/9.37 inference(avatar_component_clause,[],[f86041])).
% 58.08/9.37 tff(f111470,plain,(
% 58.08/9.37 ( ! [X0 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true = bG319(X0))) ) | ~spl5880_5017),
% 58.08/9.37 inference(avatar_component_clause,[],[f111469])).
% 58.08/9.37 tff(f112782,plain,(
% 58.08/9.37 spl5880_5296 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5295),
% 58.08/9.37 inference(avatar_split_clause,[],[f112778,f112774,f103044,f86300,f112780])).
% 58.08/9.37 tff(f112780,plain,(
% 58.08/9.37 spl5880_5296 <=> ! [X0 : vEBT_VEBT] : (iG271 = vEBT_T_m_i_n_N_u_l_l(X0) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5296])])).
% 58.08/9.37 tff(f112774,plain,(
% 58.08/9.37 spl5880_5295 <=> ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_N_u_l_l(X0) = iG1228($true) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5295])])).
% 58.08/9.37 tff(f112778,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (iG271 = vEBT_T_m_i_n_N_u_l_l(X0) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5295)),
% 58.08/9.37 inference(forward_demodulation,[],[f112777,f103045])).
% 58.08/9.37 tff(f112777,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_N_u_l_l(X0) = iG714($true) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) ) | (~spl5880_1536 | ~spl5880_5295)),
% 58.08/9.37 inference(forward_demodulation,[],[f112775,f86302])).
% 58.08/9.37 tff(f112775,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_N_u_l_l(X0) = iG1228($true) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) ) | ~spl5880_5295),
% 58.08/9.37 inference(avatar_component_clause,[],[f112774])).
% 58.08/9.37 tff(f112776,plain,(
% 58.08/9.37 spl5880_5295),
% 58.08/9.37 inference(avatar_split_clause,[],[f73230,f112774])).
% 58.08/9.37 tff(f73230,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_N_u_l_l(X0) = iG1228($true) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f69162,f67101])).
% 58.08/9.37 tff(f69162,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_i_n_N_u_l_l(X0) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) )),
% 58.08/9.37 inference(duplicate_literal_removal,[],[f68177])).
% 58.08/9.37 tff(f68177,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_i_n_N_u_l_l(X0) | one_one(nat) = vEBT_T_m_i_n_N_u_l_l(X0) | sP2046(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2045(vEBT_T_m_i_n_N_u_l_l(X0),X0) | sP2044(vEBT_T_m_i_n_N_u_l_l(X0),X0)) )),
% 58.08/9.37 inference(equality_resolution,[],[f58157])).
% 58.08/9.37 tff(f58157,plain,(
% 58.08/9.37 ( ! [X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X1 | sP2046(X1,X0) | sP2045(X1,X0) | sP2044(X1,X0) | vEBT_T_m_i_n_N_u_l_l(X0) != X1) )),
% 58.08/9.37 inference(cnf_transformation,[],[f41641])).
% 58.08/9.37 tff(f41641,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3747(X0)),sK3748(X0),sK3749(X0),sK3750(X0)) = X0) | (one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK3751(X0),sK3752(X0),sK3753(X0)) = X0) | sP2046(X1,X0) | sP2045(X1,X0) | sP2044(X1,X0) | vEBT_T_m_i_n_N_u_l_l(X0) != X1)),
% 58.08/9.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3747,sK3748,sK3749,sK3750,sK3751,sK3752,sK3753])],[f41638,f41640,f41639])).
% 58.08/9.37 tff(f41639,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X0 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3747(X0)),sK3748(X0),sK3749(X0),sK3750(X0)) = X0)),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f41640,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT] : (? [X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X6,X7,X8) = X0 => vEBT_Node(none(product_prod(nat,nat)),sK3751(X0),sK3752(X0),sK3753(X0)) = X0)),
% 58.08/9.37 introduced(choice_axiom,[])).
% 58.08/9.37 tff(f41638,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X0) | (one_one(nat) = X1 & ? [X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X6,X7,X8) = X0) | sP2046(X1,X0) | sP2045(X1,X0) | sP2044(X1,X0) | vEBT_T_m_i_n_N_u_l_l(X0) != X1)),
% 58.08/9.37 inference(rectify,[],[f37277])).
% 58.08/9.37 tff(f37277,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : product_prod(nat,nat),X8 : 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)),X7),X8,X9,X10) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | sP2046(X1,X0) | sP2045(X1,X0) | sP2044(X1,X0) | vEBT_T_m_i_n_N_u_l_l(X0) != X1)),
% 58.08/9.37 inference(definition_folding,[],[f33800,f37276,f37275,f37274])).
% 58.08/9.37 tff(f37274,plain,(
% 58.08/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0) | ~sP2044(X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2044])])).
% 58.08/9.37 tff(f37275,plain,(
% 58.08/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & ? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X0) | ~sP2045(X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2045])])).
% 58.08/9.37 tff(f37276,plain,(
% 58.08/9.37 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & ? [X3 : $o] : vEBT_Leaf(bG878(X3),$true) = X0) | ~sP2046(X1,X0))),
% 58.08/9.37 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2046])])).
% 58.08/9.37 tff(f33800,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : product_prod(nat,nat),X8 : 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)),X7),X8,X9,X10) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | (one_one(nat) = X1 & ? [X3 : $o] : vEBT_Leaf(bG878(X3),$true) = X0) | (one_one(nat) = X1 & ? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X0) | (one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0) | vEBT_T_m_i_n_N_u_l_l(X0) != X1)),
% 58.08/9.37 inference(flattening,[],[f33799])).
% 58.08/9.37 tff(f33799,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : ((((((one_one(nat) = X1 & ? [X7 : product_prod(nat,nat),X8 : 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)),X7),X8,X9,X10) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0)) | (one_one(nat) = X1 & ? [X3 : $o] : vEBT_Leaf(bG878(X3),$true) = X0)) | (one_one(nat) = X1 & ? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X0)) | (one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0)) | vEBT_T_m_i_n_N_u_l_l(X0) != X1)),
% 58.08/9.37 inference(ennf_transformation,[],[f15469])).
% 58.08/9.37 tff(f15469,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_i_n_N_u_l_l(X0) = X1 => ((vEBT_Leaf($false,$false) = X0 => one_one(nat) != X1) => ((? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X0 => one_one(nat) != X1) => ((? [X3 : $o] : vEBT_Leaf(bG878(X3),$true) = X0 => one_one(nat) != X1) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : product_prod(nat,nat),X8 : 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)),X7),X8,X9,X10) = X0 => one_one(nat) != X1))))))),
% 58.08/9.37 inference(fool_elimination,[],[f15466,f15468,f15467])).
% 58.08/9.37 tff(f15467,plain,(
% 58.08/9.37 ! [X2 : $o] : (($true = X2) <=> ($true = bG877(X2)))),
% 58.08/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG877])])).
% 58.08/9.37 tff(f15468,plain,(
% 58.08/9.37 ! [X3 : $o] : (($true = X3) <=> ($true = bG878(X3)))),
% 58.08/9.37 introduced(fool_formula_definition,[new_symbols(definition,[bG878])])).
% 58.08/9.37 tff(f15466,plain,(
% 58.08/9.37 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_i_n_N_u_l_l(X0) = X1 => ((X0 = vEBT_Leaf($false,$false) => one_one(nat) != X1) => ((? [X2] : X0 = vEBT_Leaf($true,X2) => one_one(nat) != X1) => ((? [X3] : X0 = vEBT_Leaf(X3,$true) => one_one(nat) != X1) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : product_prod(nat,nat),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10) = X0 => one_one(nat) != X1))))))),
% 58.08/9.37 inference(rectify,[],[f1476])).
% 58.08/9.37 tff(f1476,axiom,(
% 58.08/9.37 ! [X9 : vEBT_VEBT,X18 : nat] : (vEBT_T_m_i_n_N_u_l_l(X9) = X18 => ((X9 = vEBT_Leaf($false,$false) => one_one(nat) != X18) => ((? [X116 : $o] : X9 = vEBT_Leaf($true,X116) => one_one(nat) != X18) => ((? [X115 : $o] : X9 = vEBT_Leaf(X115,$true) => one_one(nat) != X18) => ((? [X117 : nat,X145 : list(vEBT_VEBT),X146 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X117,X145,X146) = X9 => one_one(nat) != X18) => ~(? [X170 : product_prod(nat,nat),X171 : nat,X172 : list(vEBT_VEBT),X173 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X170),X171,X172,X173) = X9 => one_one(nat) != X18))))))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1475_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Oelims)).
% 58.08/9.37 tff(f112768,plain,(
% 58.08/9.37 spl5880_5294 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5293),
% 58.08/9.37 inference(avatar_split_clause,[],[f112764,f112760,f103044,f86300,f112766])).
% 58.08/9.37 tff(f112766,plain,(
% 58.08/9.37 spl5880_5294 <=> ! [X0 : $tType,X1 : X0] : iG271 = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5294])])).
% 58.08/9.37 tff(f112760,plain,(
% 58.08/9.37 spl5880_5293 <=> ! [X0 : $tType,X1 : X0] : aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = iG1228($true)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5293])])).
% 58.08/9.37 tff(f112764,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (iG271 = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5293)),
% 58.08/9.37 inference(forward_demodulation,[],[f112763,f103045])).
% 58.08/9.37 tff(f112763,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_5293)),
% 58.08/9.37 inference(forward_demodulation,[],[f112761,f86302])).
% 58.08/9.37 tff(f112761,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = iG1228($true)) ) | ~spl5880_5293),
% 58.08/9.37 inference(avatar_component_clause,[],[f112760])).
% 58.08/9.37 tff(f112762,plain,(
% 58.08/9.37 spl5880_5293),
% 58.08/9.37 inference(avatar_split_clause,[],[f72272,f112760])).
% 58.08/9.37 tff(f72272,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = iG1228($true)) )),
% 58.08/9.37 inference(forward_demodulation,[],[f72271,f69743])).
% 58.08/9.37 tff(f72271,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = aa(nat,nat,suc,iG894($true))) )),
% 58.08/9.37 inference(forward_demodulation,[],[f56767,f67338])).
% 58.08/9.37 tff(f56767,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : X0] : (aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))) )),
% 58.08/9.37 inference(cnf_transformation,[],[f25320])).
% 58.08/9.37 tff(f25320,plain,(
% 58.08/9.37 ! [X0 : $tType,X1 : X0] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))),
% 58.08/9.37 inference(rectify,[],[f1247])).
% 58.08/9.37 tff(f1247,axiom,(
% 58.08/9.37 ! [X0 : $tType,X38 : X0] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X38))),
% 58.08/9.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1246_option_Osize_I4_J)).
% 58.08/9.37 tff(f112751,plain,(
% 58.08/9.37 spl5880_5292 | ~spl5880_592 | ~spl5880_1536 | ~spl5880_3004 | ~spl5880_4145 | ~spl5880_5291),
% 58.08/9.37 inference(avatar_split_clause,[],[f112747,f112742,f103044,f95232,f86300,f81403,f112749])).
% 58.08/9.37 tff(f112749,plain,(
% 58.08/9.37 spl5880_5292 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG271),iG513(nat,X0)))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5292])])).
% 58.08/9.37 tff(f81403,plain,(
% 58.08/9.37 spl5880_592 <=> semiring_char_0(nat)),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_592])])).
% 58.08/9.37 tff(f95232,plain,(
% 58.08/9.37 spl5880_3004 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG513(X0,X1) | ~semiring_char_0(X0))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_3004])])).
% 58.08/9.37 tff(f112742,plain,(
% 58.08/9.37 spl5880_5291 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG1228($true)),semiring_char_0_fact(nat,X0)))),
% 58.08/9.37 introduced(avatar_definition,[new_symbols(naming,[spl5880_5291])])).
% 58.08/9.37 tff(f112747,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG271),iG513(nat,X0)))) ) | (~spl5880_592 | ~spl5880_1536 | ~spl5880_3004 | ~spl5880_4145 | ~spl5880_5291)),
% 58.08/9.37 inference(forward_demodulation,[],[f112746,f103045])).
% 58.08/9.37 tff(f112746,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG714($true)),iG513(nat,X0)))) ) | (~spl5880_592 | ~spl5880_1536 | ~spl5880_3004 | ~spl5880_5291)),
% 58.08/9.37 inference(forward_demodulation,[],[f112745,f86302])).
% 58.08/9.37 tff(f112745,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG1228($true)),iG513(nat,X0)))) ) | (~spl5880_592 | ~spl5880_3004 | ~spl5880_5291)),
% 58.08/9.37 inference(forward_demodulation,[],[f112743,f96192])).
% 58.08/9.37 tff(f96192,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (semiring_char_0_fact(nat,X0) = iG513(nat,X0)) ) | (~spl5880_592 | ~spl5880_3004)),
% 58.08/9.37 inference(resolution,[],[f95233,f81405])).
% 58.08/9.37 tff(f81405,plain,(
% 58.08/9.37 semiring_char_0(nat) | ~spl5880_592),
% 58.08/9.37 inference(avatar_component_clause,[],[f81403])).
% 58.08/9.37 tff(f95233,plain,(
% 58.08/9.37 ( ! [X0 : $tType,X1 : nat] : (~semiring_char_0(X0) | semiring_char_0_fact(X0,X1) = iG513(X0,X1)) ) | ~spl5880_3004),
% 58.08/9.37 inference(avatar_component_clause,[],[f95232])).
% 58.08/9.37 tff(f112743,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG1228($true)),semiring_char_0_fact(nat,X0)))) ) | ~spl5880_5291),
% 58.08/9.37 inference(avatar_component_clause,[],[f112742])).
% 58.08/9.37 tff(f112744,plain,(
% 58.08/9.37 spl5880_5291),
% 58.08/9.37 inference(avatar_split_clause,[],[f72214,f112742])).
% 58.08/9.37 tff(f72214,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG1228($true)),semiring_char_0_fact(nat,X0)))) )),
% 58.08/9.37 inference(forward_demodulation,[],[f72213,f69743])).
% 58.08/9.37 tff(f72213,plain,(
% 58.08/9.37 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,iG894($true))),semiring_char_0_fact(nat,X0)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f56659,f67338])).
% 58.08/9.38 tff(f56659,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14503])).
% 58.08/9.38 tff(f14503,plain,(
% 58.08/9.38 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14502])).
% 58.08/9.38 tff(f14502,plain,(
% 58.08/9.38 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X0))),
% 58.08/9.38 inference(rectify,[],[f3742])).
% 58.08/9.38 tff(f3742,axiom,(
% 58.08/9.38 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X8))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3741_fact__ge__Suc__0__nat)).
% 58.08/9.38 tff(f112740,plain,(
% 58.08/9.38 spl5880_5290),
% 58.08/9.38 inference(avatar_split_clause,[],[f72210,f112738])).
% 58.08/9.38 tff(f112738,plain,(
% 58.08/9.38 spl5880_5290 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X0)),im(imaginary_unit)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5290])])).
% 58.08/9.38 tff(f72210,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X0)),im(imaginary_unit)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f56651,f50004])).
% 58.08/9.38 tff(f56651,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X0)),one_one(real)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14487])).
% 58.08/9.38 tff(f14487,plain,(
% 58.08/9.38 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X0)),one_one(real)))),
% 58.08/9.38 inference(fool_elimination,[],[f14486])).
% 58.08/9.38 tff(f14486,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X0)),one_one(real))),
% 58.08/9.38 inference(rectify,[],[f3547])).
% 58.08/9.38 tff(f3547,axiom,(
% 58.08/9.38 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),cos(real,X9)),one_one(real))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3546_cos__le__one)).
% 58.08/9.38 tff(f112736,plain,(
% 58.08/9.38 spl5880_5289),
% 58.08/9.38 inference(avatar_split_clause,[],[f72209,f112734])).
% 58.08/9.38 tff(f112734,plain,(
% 58.08/9.38 spl5880_5289 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X0)),im(imaginary_unit)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5289])])).
% 58.08/9.38 tff(f72209,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X0)),im(imaginary_unit)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f56650,f50004])).
% 58.08/9.38 tff(f56650,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X0)),one_one(real)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14485])).
% 58.08/9.38 tff(f14485,plain,(
% 58.08/9.38 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X0)),one_one(real)))),
% 58.08/9.38 inference(fool_elimination,[],[f14484])).
% 58.08/9.38 tff(f14484,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X0)),one_one(real))),
% 58.08/9.38 inference(rectify,[],[f3546])).
% 58.08/9.38 tff(f3546,axiom,(
% 58.08/9.38 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sin(real,X9)),one_one(real))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3545_sin__le__one)).
% 58.08/9.38 tff(f112730,plain,(
% 58.08/9.38 spl5880_5288),
% 58.08/9.38 inference(avatar_split_clause,[],[f72207,f112728])).
% 58.08/9.38 tff(f112728,plain,(
% 58.08/9.38 spl5880_5288 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),im(imaginary_unit)),cosh(real,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5288])])).
% 58.08/9.38 tff(f72207,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),im(imaginary_unit)),cosh(real,X0)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f56646,f50004])).
% 58.08/9.38 tff(f56646,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),one_one(real)),cosh(real,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14477])).
% 58.08/9.38 tff(f14477,plain,(
% 58.08/9.38 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),one_one(real)),cosh(real,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14476])).
% 58.08/9.38 tff(f14476,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),one_one(real)),cosh(real,X0))),
% 58.08/9.38 inference(rectify,[],[f4474])).
% 58.08/9.38 tff(f4474,axiom,(
% 58.08/9.38 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),one_one(real)),cosh(real,X9))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4473_cosh__real__ge__1)).
% 58.08/9.38 tff(f112726,plain,(
% 58.08/9.38 spl5880_5287),
% 58.08/9.38 inference(avatar_split_clause,[],[f71359,f112724])).
% 58.08/9.38 tff(f112724,plain,(
% 58.08/9.38 spl5880_5287 <=> ! [X0 : real] : (im(imaginary_unit) = aa(real,real,abs_abs(real),cos(real,X0)) | zero_zero(real) != sin(real,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5287])])).
% 58.08/9.38 tff(f71359,plain,(
% 58.08/9.38 ( ! [X0 : real] : (im(imaginary_unit) = aa(real,real,abs_abs(real),cos(real,X0)) | zero_zero(real) != sin(real,X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f55679,f50004])).
% 58.08/9.38 tff(f55679,plain,(
% 58.08/9.38 ( ! [X0 : real] : (one_one(real) = aa(real,real,abs_abs(real),cos(real,X0)) | zero_zero(real) != sin(real,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f32181])).
% 58.08/9.38 tff(f32181,plain,(
% 58.08/9.38 ! [X0 : real] : (one_one(real) = aa(real,real,abs_abs(real),cos(real,X0)) | zero_zero(real) != sin(real,X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24942])).
% 58.08/9.38 tff(f24942,plain,(
% 58.08/9.38 ! [X0 : real] : (zero_zero(real) = sin(real,X0) => one_one(real) = aa(real,real,abs_abs(real),cos(real,X0)))),
% 58.08/9.38 inference(rectify,[],[f3537])).
% 58.08/9.38 tff(f3537,axiom,(
% 58.08/9.38 ! [X9 : real] : (zero_zero(real) = sin(real,X9) => one_one(real) = aa(real,real,abs_abs(real),cos(real,X9)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3536_sin__zero__abs__cos__one)).
% 58.08/9.38 tff(f112715,plain,(
% 58.08/9.38 spl5880_5286 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5285),
% 58.08/9.38 inference(avatar_split_clause,[],[f112711,f112707,f103044,f86300,f112713])).
% 58.08/9.38 tff(f112713,plain,(
% 58.08/9.38 spl5880_5286 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG271) = X1 | ~monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5286])])).
% 58.08/9.38 tff(f112707,plain,(
% 58.08/9.38 spl5880_5285 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG1228($true)) = X1 | ~monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5285])])).
% 58.08/9.38 tff(f112711,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG271) = X1 | ~monoid_mult(X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5285)),
% 58.08/9.38 inference(forward_demodulation,[],[f112710,f103045])).
% 58.08/9.38 tff(f112710,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG714($true)) = X1 | ~monoid_mult(X0)) ) | (~spl5880_1536 | ~spl5880_5285)),
% 58.08/9.38 inference(forward_demodulation,[],[f112708,f86302])).
% 58.08/9.38 tff(f112708,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG1228($true)) = X1 | ~monoid_mult(X0)) ) | ~spl5880_5285),
% 58.08/9.38 inference(avatar_component_clause,[],[f112707])).
% 58.08/9.38 tff(f112709,plain,(
% 58.08/9.38 spl5880_5285),
% 58.08/9.38 inference(avatar_split_clause,[],[f71186,f112707])).
% 58.08/9.38 tff(f71186,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),iG1228($true)) = X1 | ~monoid_mult(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f54631,f67101])).
% 58.08/9.38 tff(f54631,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1 | ~monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31349])).
% 58.08/9.38 tff(f31349,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1 | ~monoid_mult(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24659])).
% 58.08/9.38 tff(f24659,plain,(
% 58.08/9.38 ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1)),
% 58.08/9.38 inference(rectify,[],[f496])).
% 58.08/9.38 tff(f496,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (monoid_mult(X0) => ! [X11 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X11),one_one(nat)) = X11)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_495_power__one__right)).
% 58.08/9.38 tff(f112692,plain,(
% 58.08/9.38 spl5880_5284 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5283),
% 58.08/9.38 inference(avatar_split_clause,[],[f112688,f112684,f103044,f86300,f112690])).
% 58.08/9.38 tff(f112690,plain,(
% 58.08/9.38 spl5880_5284 <=> ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5284])])).
% 58.08/9.38 tff(f112684,plain,(
% 58.08/9.38 spl5880_5283 <=> ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5283])])).
% 58.08/9.38 tff(f112688,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5283)),
% 58.08/9.38 inference(forward_demodulation,[],[f112687,f103045])).
% 58.08/9.38 tff(f112687,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_5283)),
% 58.08/9.38 inference(forward_demodulation,[],[f112685,f86302])).
% 58.08/9.38 tff(f112685,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2)) ) | ~spl5880_5283),
% 58.08/9.38 inference(avatar_component_clause,[],[f112684])).
% 58.08/9.38 tff(f112686,plain,(
% 58.08/9.38 spl5880_5283),
% 58.08/9.38 inference(avatar_split_clause,[],[f70806,f112684])).
% 58.08/9.38 tff(f70806,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | zero_zero(X1) = X0 | ~sP1940(X1,X0,X2)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f53435,f69765])).
% 58.08/9.38 tff(f53435,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (zero_zero(X1) = X0 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) | ~sP1940(X1,X0,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39582])).
% 58.08/9.38 tff(f39582,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : nat] : ((sP1940(X1,X0,X2) | ((zero_zero(X1) != X0 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X0),zero_zero(X1))) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))) & ((zero_zero(X1) = X0 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X0),zero_zero(X1))) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | ~sP1940(X1,X0,X2)))),
% 58.08/9.38 inference(rectify,[],[f39581])).
% 58.08/9.38 tff(f39581,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP1940(X0,X1,X2) | ((zero_zero(X0) != X1 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))) & ((zero_zero(X0) = X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | ~sP1940(X0,X1,X2)))),
% 58.08/9.38 inference(flattening,[],[f39580])).
% 58.08/9.38 tff(f39580,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP1940(X0,X1,X2) | ((zero_zero(X0) != X1 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))) & (((zero_zero(X0) = X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | ~sP1940(X0,X1,X2)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37105])).
% 58.08/9.38 tff(f37105,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : (sP1940(X0,X1,X2) <=> ((zero_zero(X0) = X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1940])])).
% 58.08/9.38 tff(f112669,plain,(
% 58.08/9.38 spl5880_5282 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5280),
% 58.08/9.38 inference(avatar_split_clause,[],[f112661,f112657,f103044,f86300,f112667])).
% 58.08/9.38 tff(f112667,plain,(
% 58.08/9.38 spl5880_5282 <=> ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5282])])).
% 58.08/9.38 tff(f112657,plain,(
% 58.08/9.38 spl5880_5280 <=> ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5280])])).
% 58.08/9.38 tff(f112661,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5280)),
% 58.08/9.38 inference(forward_demodulation,[],[f112660,f103045])).
% 58.08/9.38 tff(f112660,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0) ) | (~spl5880_1536 | ~spl5880_5280)),
% 58.08/9.38 inference(forward_demodulation,[],[f112658,f86302])).
% 58.08/9.38 tff(f112658,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0) ) | ~spl5880_5280),
% 58.08/9.38 inference(avatar_component_clause,[],[f112657])).
% 58.08/9.38 tff(f112665,plain,(
% 58.08/9.38 spl5880_5281 | ~spl5880_3186 | ~spl5880_4976),
% 58.08/9.38 inference(avatar_split_clause,[],[f111139,f110827,f96649,f112663])).
% 58.08/9.38 tff(f112663,plain,(
% 58.08/9.38 spl5880_5281 <=> ! [X0 : nat] : finite_finite(nat,set_ord_lessThan(nat,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5281])])).
% 58.08/9.38 tff(f96649,plain,(
% 58.08/9.38 spl5880_3186 <=> ! [X0 : $tType,X1 : list(X0)] : finite_finite(X0,aa(list(X0),set(X0),set2(X0),X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_3186])])).
% 58.08/9.38 tff(f110827,plain,(
% 58.08/9.38 spl5880_4976 <=> ! [X0 : nat] : set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG717($true)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_4976])])).
% 58.08/9.38 tff(f111139,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (finite_finite(nat,set_ord_lessThan(nat,X0))) ) | (~spl5880_3186 | ~spl5880_4976)),
% 58.08/9.38 inference(superposition,[],[f96650,f110828])).
% 58.08/9.38 tff(f110828,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG717($true)))) ) | ~spl5880_4976),
% 58.08/9.38 inference(avatar_component_clause,[],[f110827])).
% 58.08/9.38 tff(f96650,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : list(X0)] : (finite_finite(X0,aa(list(X0),set(X0),set2(X0),X1))) ) | ~spl5880_3186),
% 58.08/9.38 inference(avatar_component_clause,[],[f96649])).
% 58.08/9.38 tff(f112659,plain,(
% 58.08/9.38 spl5880_5280),
% 58.08/9.38 inference(avatar_split_clause,[],[f70792,f112657])).
% 58.08/9.38 tff(f70792,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1938(X1,X0,X2) | zero_zero(X1) = X0) )),
% 58.08/9.38 inference(forward_demodulation,[],[f53423,f69765])).
% 58.08/9.38 tff(f53423,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (sP1938(X1,X0,X2) | zero_zero(X1) = X0 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39575])).
% 58.08/9.38 tff(f39575,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : nat] : ((sP1938(X1,X0,X2) | ((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (zero_zero(X1) = X0 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & zero_zero(nat) != X2)) & ((($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X1) != X0 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2 | ~sP1938(X1,X0,X2)))),
% 58.08/9.38 inference(rectify,[],[f39574])).
% 58.08/9.38 tff(f39574,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP1938(X0,X1,X2) | ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (zero_zero(X0) = X1 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & zero_zero(nat) != X2)) & ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2 | ~sP1938(X0,X1,X2)))),
% 58.08/9.38 inference(flattening,[],[f39573])).
% 58.08/9.38 tff(f39573,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP1938(X0,X1,X2) | ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & (zero_zero(X0) = X1 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) & zero_zero(nat) != X2)) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2) | ~sP1938(X0,X1,X2)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37102])).
% 58.08/9.38 tff(f37102,plain,(
% 58.08/9.38 ! [X1 : X0,X0 : $tType,X2 : nat] : (sP1938(X0,X1,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1938])])).
% 58.08/9.38 tff(f112655,plain,(
% 58.08/9.38 spl5880_5279),
% 58.08/9.38 inference(avatar_split_clause,[],[f70574,f112653])).
% 58.08/9.38 tff(f112653,plain,(
% 58.08/9.38 spl5880_5279 <=> ! [X0 : $tType,X1 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG296(aa(num,code_integer,code_positive,X1)))) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5279])])).
% 58.08/9.38 tff(f70574,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG296(aa(num,code_integer,code_positive,X1)))) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f70573,f65842])).
% 58.08/9.38 tff(f70573,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),lG696(aa(num,code_integer,code_positive,X1)))) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f52381,f69903])).
% 58.08/9.38 tff(f52381,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f29568])).
% 58.08/9.38 tff(f29568,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : num] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f23782])).
% 58.08/9.38 tff(f23782,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))))),
% 58.08/9.38 inference(flattening,[],[f11208])).
% 58.08/9.38 tff(f11208,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : ~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f11207])).
% 58.08/9.38 tff(f11207,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1)))),
% 58.08/9.38 inference(rectify,[],[f4524])).
% 58.08/9.38 tff(f4524,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : num] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X8)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4523_bit__numeral__simps_I1_J)).
% 58.08/9.38 tff(f112650,plain,(
% 58.08/9.38 spl5880_5278),
% 58.08/9.38 inference(avatar_split_clause,[],[f70572,f112648])).
% 58.08/9.38 tff(f112648,plain,(
% 58.08/9.38 spl5880_5278 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5278])])).
% 58.08/9.38 tff(f70572,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f52379,f67338])).
% 58.08/9.38 tff(f52379,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39283])).
% 58.08/9.38 tff(f39283,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)))) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f29567])).
% 58.08/9.38 tff(f29567,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) <=> zero_zero(nat) = X1) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f23781])).
% 58.08/9.38 tff(f23781,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) <=> zero_zero(nat) = X1))),
% 58.08/9.38 inference(rectify,[],[f2935])).
% 58.08/9.38 tff(f2935,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),one_one(X0)) <=> zero_zero(nat) = X8))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2934_take__bit__of__1__eq__0__iff)).
% 58.08/9.38 tff(f112645,plain,(
% 58.08/9.38 spl5880_5277),
% 58.08/9.38 inference(avatar_split_clause,[],[f70552,f112643])).
% 58.08/9.38 tff(f70552,plain,(
% 58.08/9.38 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),$true)),iG894($true))) | ~bit_semiring_bits(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f70551,f67677])).
% 58.08/9.38 tff(f67677,plain,(
% 58.08/9.38 ($true = bG415($true))),
% 58.08/9.38 inference(equality_resolution,[],[f48962])).
% 58.08/9.38 tff(f48962,plain,(
% 58.08/9.38 ( ! [X0 : $o] : (($true = bG415(X0)) | ($true != X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f38655])).
% 58.08/9.38 tff(f38655,plain,(
% 58.08/9.38 ! [X0 : $o] : ((($true = X0) | ($true != bG415(X0))) & (($true = bG415(X0)) | ($true != X0)))),
% 58.08/9.38 inference(nnf_transformation,[],[f22495])).
% 58.08/9.38 tff(f22495,plain,(
% 58.08/9.38 ! [X0 : $o] : (($true = X0) <=> ($true = bG415(X0)))),
% 58.08/9.38 inference(rectify,[],[f11145])).
% 58.08/9.38 tff(f11145,plain,(
% 58.08/9.38 ! [X1 : $o] : (($true = X1) <=> ($true = bG415(X1)))),
% 58.08/9.38 introduced(fool_formula_definition,[new_symbols(definition,[bG415])])).
% 58.08/9.38 tff(f70551,plain,(
% 58.08/9.38 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415($true))),iG894($true))) | ~bit_semiring_bits(X0)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f67771,f67338])).
% 58.08/9.38 tff(f67771,plain,(
% 58.08/9.38 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415($true))),zero_zero(nat))) | ~bit_semiring_bits(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f67770])).
% 58.08/9.38 tff(f67770,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : $o] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),zero_zero(nat))) | ($true != X1) | ~bit_semiring_bits(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f52170])).
% 58.08/9.38 tff(f52170,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : nat,X1 : $o] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)) | zero_zero(nat) != X2 | ($true != X1) | ~bit_semiring_bits(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39235])).
% 58.08/9.38 tff(f39235,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : $o,X2 : nat] : ((($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)) | zero_zero(nat) != X2 | ($true != X1)) & ((zero_zero(nat) = X2 & ($true = X1)) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)))) | ~bit_semiring_bits(X0))),
% 58.08/9.38 inference(flattening,[],[f39234])).
% 58.08/9.38 tff(f39234,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : $o,X2 : nat] : ((($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)) | (zero_zero(nat) != X2 | ($true != X1))) & ((zero_zero(nat) = X2 & ($true = X1)) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)))) | ~bit_semiring_bits(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f29381])).
% 58.08/9.38 tff(f29381,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : $o,X2 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)) <=> (zero_zero(nat) = X2 & ($true = X1))) | ~bit_semiring_bits(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f11146])).
% 58.08/9.38 tff(f11146,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : $o,X2 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),bG415(X1))),X2)) <=> (zero_zero(nat) = X2 & ($true = X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f11144,f11145])).
% 58.08/9.38 tff(f11144,plain,(
% 58.08/9.38 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : $o,X2 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),X1)),X2) <=> (zero_zero(nat) = X2 & X1)))),
% 58.08/9.38 inference(rectify,[],[f4527])).
% 58.08/9.38 tff(f4527,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X12 : $o,X8 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa($o,X0,zero_neq_one_of_bool(X0),X12)),X8) <=> (zero_zero(nat) = X8 & X12)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4526_bit__of__bool__iff)).
% 58.08/9.38 tff(f112641,plain,(
% 58.08/9.38 spl5880_5276),
% 58.08/9.38 inference(avatar_split_clause,[],[f70164,f112639])).
% 58.08/9.38 tff(f112639,plain,(
% 58.08/9.38 spl5880_5276 <=> ! [X0 : real] : aa(real,real,cot(real),X0) = divide_divide(real,im(imaginary_unit),aa(real,real,tan(real),X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5276])])).
% 58.08/9.38 tff(f70164,plain,(
% 58.08/9.38 ( ! [X0 : real] : (aa(real,real,cot(real),X0) = divide_divide(real,im(imaginary_unit),aa(real,real,tan(real),X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f70163,f70111])).
% 58.08/9.38 tff(f70163,plain,(
% 58.08/9.38 ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),iG303(imaginary_unit)),X0)) = divide_divide(real,im(imaginary_unit),aa(real,real,tan(real),X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f70162,f65754])).
% 58.08/9.38 tff(f70162,plain,(
% 58.08/9.38 ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0)) = divide_divide(real,im(imaginary_unit),aa(real,real,tan(real),X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f50546,f50004])).
% 58.08/9.38 tff(f50546,plain,(
% 58.08/9.38 ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0)) = divide_divide(real,one_one(real),aa(real,real,tan(real),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f23069])).
% 58.08/9.38 tff(f23069,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X0)) = divide_divide(real,one_one(real),aa(real,real,tan(real),X0))),
% 58.08/9.38 inference(rectify,[],[f3711])).
% 58.08/9.38 tff(f3711,axiom,(
% 58.08/9.38 ! [X18 : real] : divide_divide(real,one_one(real),aa(real,real,tan(real),X18)) = aa(real,real,tan(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),X18))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3710_tan__inverse)).
% 58.08/9.38 tff(f112637,plain,(
% 58.08/9.38 spl5880_5275),
% 58.08/9.38 inference(avatar_split_clause,[],[f70084,f112635])).
% 58.08/9.38 tff(f112635,plain,(
% 58.08/9.38 spl5880_5275 <=> ! [X0 : num] : quotient_of(aa(num,rat,numeral_numeral(rat),X0)) = quotient_of(of_int(aa(num,int,code_Target_positive,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5275])])).
% 58.08/9.38 tff(f70084,plain,(
% 58.08/9.38 ( ! [X0 : num] : (quotient_of(aa(num,rat,numeral_numeral(rat),X0)) = quotient_of(of_int(aa(num,int,code_Target_positive,X0)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f70083,f50418])).
% 58.08/9.38 tff(f50418,plain,(
% 58.08/9.38 ( ! [X0 : int] : (quotient_of(of_int(X0)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),one_one(int))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22944])).
% 58.08/9.38 tff(f22944,plain,(
% 58.08/9.38 ! [X0 : int] : quotient_of(of_int(X0)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),one_one(int))),
% 58.08/9.38 inference(rectify,[],[f5516])).
% 58.08/9.38 tff(f5516,axiom,(
% 58.08/9.38 ! [X11 : int] : quotient_of(of_int(X11)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X11),one_one(int))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5515_quotient__of__int)).
% 58.08/9.38 tff(f70083,plain,(
% 58.08/9.38 ( ! [X0 : num] : (quotient_of(aa(num,rat,numeral_numeral(rat),X0)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,code_Target_positive,X0)),one_one(int))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f50495,f50021])).
% 58.08/9.38 tff(f50495,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X0)),one_one(int)) = quotient_of(aa(num,rat,numeral_numeral(rat),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f23019])).
% 58.08/9.38 tff(f23019,plain,(
% 58.08/9.38 ! [X0 : num] : aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X0)),one_one(int)) = quotient_of(aa(num,rat,numeral_numeral(rat),X0))),
% 58.08/9.38 inference(rectify,[],[f5505])).
% 58.08/9.38 tff(f5505,axiom,(
% 58.08/9.38 ! [X24 : num] : quotient_of(aa(num,rat,numeral_numeral(rat),X24)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X24)),one_one(int))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5504_quotient__of__number_I3_J)).
% 58.08/9.38 tff(f112633,plain,(
% 58.08/9.38 spl5880_5274),
% 58.08/9.38 inference(avatar_split_clause,[],[f69962,f112631])).
% 58.08/9.38 tff(f112631,plain,(
% 58.08/9.38 spl5880_5274 <=> ! [X0 : nat] : iG1564(zero_zero(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),iG1564(zero_zero(int),one_one(int)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5274])])).
% 58.08/9.38 tff(f69962,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (iG1564(zero_zero(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),iG1564(zero_zero(int),one_one(int)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f50383,f66895])).
% 58.08/9.38 tff(f50383,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),aa(int,int,uminus_uminus(int),one_one(int)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22910])).
% 58.08/9.38 tff(f22910,plain,(
% 58.08/9.38 ! [X0 : nat] : aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),aa(int,int,uminus_uminus(int),one_one(int)))),
% 58.08/9.38 inference(rectify,[],[f5534])).
% 58.08/9.38 tff(f5534,axiom,(
% 58.08/9.38 ! [X8 : nat] : aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X8),aa(int,int,uminus_uminus(int),one_one(int)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5533_drop__bit__minus__one)).
% 58.08/9.38 tff(f112629,plain,(
% 58.08/9.38 spl5880_5273 | ~spl5880_638 | ~spl5880_1408 | ~spl5880_3482 | ~spl5880_5272),
% 58.08/9.38 inference(avatar_split_clause,[],[f112625,f112622,f98199,f85606,f81633,f112627])).
% 58.08/9.38 tff(f112627,plain,(
% 58.08/9.38 spl5880_5273 <=> ! [X0 : nat] : aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,im(imaginary_unit),iG546(real,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5273])])).
% 58.08/9.38 tff(f112622,plain,(
% 58.08/9.38 spl5880_5272 <=> ! [X0 : nat] : aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,im(imaginary_unit),iG577(real,im(imaginary_unit),X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5272])])).
% 58.08/9.38 tff(f112625,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,im(imaginary_unit),iG546(real,X0))) ) | (~spl5880_638 | ~spl5880_1408 | ~spl5880_3482 | ~spl5880_5272)),
% 58.08/9.38 inference(forward_demodulation,[],[f112623,f98890])).
% 58.08/9.38 tff(f112623,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,im(imaginary_unit),iG577(real,im(imaginary_unit),X0))) ) | ~spl5880_5272),
% 58.08/9.38 inference(avatar_component_clause,[],[f112622])).
% 58.08/9.38 tff(f112624,plain,(
% 58.08/9.38 spl5880_5272),
% 58.08/9.38 inference(avatar_split_clause,[],[f69943,f112622])).
% 58.08/9.38 tff(f69943,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,im(imaginary_unit),iG577(real,im(imaginary_unit),X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f69942,f50004])).
% 58.08/9.38 tff(f69942,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_ub(nat,real),X0) = divide_divide(real,one_one(real),iG577(real,one_one(real),X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f50359,f67555])).
% 58.08/9.38 tff(f50359,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X0)) = aa(nat,real,aTP_Lamp_ub(nat,real),X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22886])).
% 58.08/9.38 tff(f22886,plain,(
% 58.08/9.38 ! [X0 : nat] : divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X0)) = aa(nat,real,aTP_Lamp_ub(nat,real),X0)),
% 58.08/9.38 inference(rectify,[],[f8201])).
% 58.08/9.38 tff(f8201,axiom,(
% 58.08/9.38 ! [X105 : nat] : aa(nat,real,aTP_Lamp_ub(nat,real),X105) = divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X105))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8200_ATP_Olambda__20)).
% 58.08/9.38 tff(f112619,plain,(
% 58.08/9.38 spl5880_5271),
% 58.08/9.38 inference(avatar_split_clause,[],[f69941,f112617])).
% 58.08/9.38 tff(f69941,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(num,int,code_Target_positive,X0) = aa(nat,int,semiring_1_of_nat(int),lG696(aa(num,code_integer,code_positive,X0)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f69940,f50021])).
% 58.08/9.38 tff(f69940,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),lG696(aa(num,code_integer,code_positive,X0)))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f50357,f69903])).
% 58.08/9.38 tff(f50357,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22884])).
% 58.08/9.38 tff(f22884,plain,(
% 58.08/9.38 ! [X0 : num] : aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X0))),
% 58.08/9.38 inference(rectify,[],[f3167])).
% 58.08/9.38 tff(f3167,axiom,(
% 58.08/9.38 ! [X8 : num] : aa(num,int,numeral_numeral(int),X8) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X8))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3166_int__ops_I3_J)).
% 58.08/9.38 tff(f112615,plain,(
% 58.08/9.38 spl5880_5270),
% 58.08/9.38 inference(avatar_split_clause,[],[f69931,f112613])).
% 58.08/9.38 tff(f112613,plain,(
% 58.08/9.38 spl5880_5270 <=> ! [X0 : num] : aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) = lG1553(aa(num,num,bit1,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5270])])).
% 58.08/9.38 tff(f69931,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) = lG1553(aa(num,num,bit1,X0))) )),
% 58.08/9.38 inference(forward_demodulation,[],[f65793,f65286])).
% 58.08/9.38 tff(f65793,plain,(
% 58.08/9.38 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) = lG1586(aa(num,num,bit1,X0))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f50350,f46570])).
% 58.08/9.38 tff(f50350,plain,(
% 58.08/9.38 ( ! [X0 : num] : (pred_numeral(aa(num,num,bit1,X0)) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22877])).
% 58.08/9.38 tff(f22877,plain,(
% 58.08/9.38 ! [X0 : num] : pred_numeral(aa(num,num,bit1,X0)) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0))),
% 58.08/9.38 inference(rectify,[],[f2383])).
% 58.08/9.38 tff(f2383,axiom,(
% 58.08/9.38 ! [X24 : num] : pred_numeral(aa(num,num,bit1,X24)) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X24))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2382_pred__numeral__simps_I3_J)).
% 58.08/9.38 tff(f112611,plain,(
% 58.08/9.38 spl5880_5269),
% 58.08/9.38 inference(avatar_split_clause,[],[f69810,f112608])).
% 58.08/9.38 tff(f112608,plain,(
% 58.08/9.38 spl5880_5269 <=> filterlim(real,real,aTP_Lamp_te(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,iG303(imaginary_unit),top_top(set(real))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5269])])).
% 58.08/9.38 tff(f69810,plain,(
% 58.08/9.38 filterlim(real,real,aTP_Lamp_te(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,iG303(imaginary_unit),top_top(set(real))))),
% 58.08/9.38 inference(forward_demodulation,[],[f50124,f65754])).
% 58.08/9.38 tff(f50124,plain,(
% 58.08/9.38 filterlim(real,real,aTP_Lamp_te(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real))))),
% 58.08/9.38 inference(cnf_transformation,[],[f6245])).
% 58.08/9.38 tff(f6245,axiom,(
% 58.08/9.38 filterlim(real,real,aTP_Lamp_te(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6244_LIM__cos__div__sin)).
% 58.08/9.38 tff(f112606,plain,(
% 58.08/9.38 spl5880_5268),
% 58.08/9.38 inference(avatar_split_clause,[],[f69797,f112603])).
% 58.08/9.38 tff(f112603,plain,(
% 58.08/9.38 spl5880_5268 <=> filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,cos(real,pi),set_ord_greaterThan(real,cos(real,pi))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5268])])).
% 58.08/9.38 tff(f69797,plain,(
% 58.08/9.38 filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,cos(real,pi),set_ord_greaterThan(real,cos(real,pi))))),
% 58.08/9.38 inference(forward_demodulation,[],[f69796,f69747])).
% 58.08/9.38 tff(f69796,plain,(
% 58.08/9.38 filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)))))),
% 58.08/9.38 inference(forward_demodulation,[],[f50109,f50004])).
% 58.08/9.38 tff(f50109,plain,(
% 58.08/9.38 filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),one_one(real)))))),
% 58.08/9.38 inference(cnf_transformation,[],[f6421])).
% 58.08/9.38 tff(f6421,axiom,(
% 58.08/9.38 filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),set_ord_greaterThan(real,aa(real,real,uminus_uminus(real),one_one(real)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6420_artanh__real__at__right__1)).
% 58.08/9.38 tff(f112601,plain,(
% 58.08/9.38 spl5880_5267),
% 58.08/9.38 inference(avatar_split_clause,[],[f69766,f112598])).
% 58.08/9.38 tff(f112598,plain,(
% 58.08/9.38 spl5880_5267 <=> filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,im(imaginary_unit),set_ord_greaterThan(real,im(imaginary_unit))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5267])])).
% 58.08/9.38 tff(f69766,plain,(
% 58.08/9.38 filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,im(imaginary_unit),set_ord_greaterThan(real,im(imaginary_unit))))),
% 58.08/9.38 inference(forward_demodulation,[],[f50077,f50004])).
% 58.08/9.38 tff(f50077,plain,(
% 58.08/9.38 filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real))))),
% 58.08/9.38 inference(cnf_transformation,[],[f6411])).
% 58.08/9.38 tff(f6411,axiom,(
% 58.08/9.38 filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6410_tendsto__arcosh__at__left__1)).
% 58.08/9.38 tff(f112560,plain,(
% 58.08/9.38 spl5880_5266 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5265),
% 58.08/9.38 inference(avatar_split_clause,[],[f112555,f112550,f103044,f86300,f112557])).
% 58.08/9.38 tff(f112557,plain,(
% 58.08/9.38 spl5880_5266 <=> aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG271)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5266])])).
% 58.08/9.38 tff(f112550,plain,(
% 58.08/9.38 spl5880_5265 <=> aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG1228($true))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5265])])).
% 58.08/9.38 tff(f112555,plain,(
% 58.08/9.38 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG271) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5265)),
% 58.08/9.38 inference(forward_demodulation,[],[f112554,f103045])).
% 58.08/9.38 tff(f112554,plain,(
% 58.08/9.38 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG714($true)) | (~spl5880_1536 | ~spl5880_5265)),
% 58.08/9.38 inference(forward_demodulation,[],[f112552,f86302])).
% 58.08/9.38 tff(f112552,plain,(
% 58.08/9.38 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,iG1228($true)) | ~spl5880_5265),
% 58.08/9.38 inference(avatar_component_clause,[],[f112550])).
% 58.08/9.38 tff(f112553,plain,(
% 58.08/9.38 spl5880_5265),
% 58.08/9.38 inference(avatar_split_clause,[],[f69765,f112550])).
% 58.08/9.38 tff(f112548,plain,(
% 58.08/9.38 spl5880_5264),
% 58.08/9.38 inference(avatar_split_clause,[],[f69731,f112545])).
% 58.08/9.38 tff(f112545,plain,(
% 58.08/9.38 spl5880_5264 <=> im(imaginary_unit) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),one_one(complex)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5264])])).
% 58.08/9.38 tff(f69731,plain,(
% 58.08/9.38 im(imaginary_unit) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),one_one(complex)))),
% 58.08/9.38 inference(forward_demodulation,[],[f65744,f50004])).
% 58.08/9.38 tff(f65744,plain,(
% 58.08/9.38 one_one(real) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),one_one(complex)))),
% 58.08/9.38 inference(definition_unfolding,[],[f50016,f50332])).
% 58.08/9.38 tff(f50332,plain,(
% 58.08/9.38 ( ! [X0 : complex] : (re(X0) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22860])).
% 58.08/9.38 tff(f22860,plain,(
% 58.08/9.38 ! [X0 : complex] : re(X0) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))),
% 58.08/9.38 inference(rectify,[],[f5235])).
% 58.08/9.38 tff(f5235,axiom,(
% 58.08/9.38 ! [X21 : complex] : re(X21) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X21))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5234_Im__i__times)).
% 58.08/9.38 tff(f50016,plain,(
% 58.08/9.38 one_one(real) = re(one_one(complex))),
% 58.08/9.38 inference(cnf_transformation,[],[f5221])).
% 58.08/9.38 tff(f5221,axiom,(
% 58.08/9.38 one_one(real) = re(one_one(complex))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5220_one__complex_Osimps_I1_J)).
% 58.08/9.38 tff(f112543,plain,(
% 58.08/9.38 spl5880_5263),
% 58.08/9.38 inference(avatar_split_clause,[],[f69586,f112541])).
% 58.08/9.38 tff(f112541,plain,(
% 58.08/9.38 spl5880_5263 <=> ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,iG1564(zero_zero(int),X2)) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5263])])).
% 58.08/9.38 tff(f69586,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,iG1564(zero_zero(int),X2)) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f65626,f66895])).
% 58.08/9.38 tff(f65626,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,aa(int,int,uminus_uminus(int),X2)) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f48446,f57202])).
% 58.08/9.38 tff(f57202,plain,(
% 58.08/9.38 ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,aa(int,int,uminus_uminus(int),X1)) = iG659(X1,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14670])).
% 58.08/9.38 tff(f14670,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : modulo_modulo(int,X0,aa(int,int,uminus_uminus(int),X1)) = iG659(X1,X0)),
% 58.08/9.38 inference(fool_elimination,[],[f14668,f14669])).
% 58.08/9.38 tff(f14669,plain,(
% 58.08/9.38 ! [X1 : int,X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,X1) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X0,X1)),X1) = iG659(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) => zero_zero(int) = iG659(X1,X0))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG659])])).
% 58.08/9.38 tff(f14668,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : modulo_modulo(int,X0,aa(int,int,uminus_uminus(int),X1)) = $ite(zero_zero(int) = modulo_modulo(int,X0,X1), zero_zero(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X0,X1)),X1))),
% 58.08/9.38 inference(rectify,[],[f2523])).
% 58.08/9.38 tff(f2523,axiom,(
% 58.08/9.38 ! [X11 : int,X12 : int] : modulo_modulo(int,X11,aa(int,int,uminus_uminus(int),X12)) = $ite(zero_zero(int) = modulo_modulo(int,X11,X12), zero_zero(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X11,X12)),X12))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2522_zmod__zminus2__eq__if)).
% 58.08/9.38 tff(f48446,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG659(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27883])).
% 58.08/9.38 tff(f27883,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG659(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG659(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.38 inference(ennf_transformation,[],[f22126])).
% 58.08/9.38 tff(f22126,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG659(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG659(X2,X3))),
% 58.08/9.38 inference(flattening,[],[f22125])).
% 58.08/9.38 tff(f22125,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG659(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG659(X2,X3))),
% 58.08/9.38 inference(rectify,[],[f14669])).
% 58.08/9.38 tff(f112539,plain,(
% 58.08/9.38 spl5880_5262),
% 58.08/9.38 inference(avatar_split_clause,[],[f69584,f112537])).
% 58.08/9.38 tff(f112537,plain,(
% 58.08/9.38 spl5880_5262 <=> ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,iG1564(zero_zero(int),X3),X2) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5262])])).
% 58.08/9.38 tff(f69584,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,iG1564(zero_zero(int),X3),X2) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(forward_demodulation,[],[f65624,f66895])).
% 58.08/9.38 tff(f65624,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,aa(int,int,uminus_uminus(int),X3),X2) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f48444,f57203])).
% 58.08/9.38 tff(f57203,plain,(
% 58.08/9.38 ( ! [X0 : int,X1 : int] : (modulo_modulo(int,aa(int,int,uminus_uminus(int),X0),X1) = iG660(X1,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14673])).
% 58.08/9.38 tff(f14673,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : modulo_modulo(int,aa(int,int,uminus_uminus(int),X0),X1) = iG660(X1,X0)),
% 58.08/9.38 inference(fool_elimination,[],[f14671,f14672])).
% 58.08/9.38 tff(f14672,plain,(
% 58.08/9.38 ! [X1 : int,X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,X1) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),modulo_modulo(int,X0,X1)) = iG660(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) => zero_zero(int) = iG660(X1,X0))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG660])])).
% 58.08/9.38 tff(f14671,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : modulo_modulo(int,aa(int,int,uminus_uminus(int),X0),X1) = $ite(zero_zero(int) = modulo_modulo(int,X0,X1), zero_zero(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),modulo_modulo(int,X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f2524])).
% 58.08/9.38 tff(f2524,axiom,(
% 58.08/9.38 ! [X11 : int,X12 : int] : modulo_modulo(int,aa(int,int,uminus_uminus(int),X11),X12) = $ite(zero_zero(int) = modulo_modulo(int,X11,X12), zero_zero(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),X12),modulo_modulo(int,X11,X12)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2523_zmod__zminus1__eq__if)).
% 58.08/9.38 tff(f48444,plain,(
% 58.08/9.38 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG660(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27882])).
% 58.08/9.38 tff(f27882,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG660(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG660(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.38 inference(ennf_transformation,[],[f22124])).
% 58.08/9.38 tff(f22124,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG660(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG660(X2,X3))),
% 58.08/9.38 inference(flattening,[],[f22123])).
% 58.08/9.38 tff(f22123,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG660(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG660(X2,X3))),
% 58.08/9.38 inference(rectify,[],[f14672])).
% 58.08/9.38 tff(f112535,plain,(
% 58.08/9.38 spl5880_5261),
% 58.08/9.38 inference(avatar_split_clause,[],[f69208,f112533])).
% 58.08/9.38 tff(f112533,plain,(
% 58.08/9.38 spl5880_5261 <=> ! [X10 : nat,X9 : list(vEBT_VEBT),X11 : nat,X6 : nat,X8 : nat,X7 : vEBT_VEBT] : (none(nat) != lG1839(lG1811(X7,X6)) | iG1813(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5261])])).
% 58.08/9.38 tff(f69208,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (none(nat) != lG1839(lG1811(X7,X6)) | iG1813(X6,X7,X8,X9,X10,X11) = X11) )),
% 58.08/9.38 inference(forward_demodulation,[],[f65074,f65054])).
% 58.08/9.38 tff(f65054,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT] : (lG1842(X0) = lG1839(X0)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46112,f46107])).
% 58.08/9.38 tff(f46107,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT] : (vEBT_vebt_maxt(X0) = lG1842(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f20482])).
% 58.08/9.38 tff(f20482,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT] : vEBT_vebt_maxt(X0) = lG1842(X0)),
% 58.08/9.38 inference(rectify,[],[f20424])).
% 58.08/9.38 tff(f20424,plain,(
% 58.08/9.38 ! [X11 : vEBT_VEBT] : vEBT_vebt_maxt(X11) = lG1842(X11)),
% 58.08/9.38 introduced(fool_let_definition,[new_symbols(definition,[lG1842])])).
% 58.08/9.38 tff(f46112,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT] : (vEBT_vebt_maxt(X0) = lG1839(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f20487])).
% 58.08/9.38 tff(f20487,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT] : vEBT_vebt_maxt(X0) = lG1839(X0)),
% 58.08/9.38 inference(rectify,[],[f20419])).
% 58.08/9.38 tff(f20419,plain,(
% 58.08/9.38 ! [X8 : vEBT_VEBT] : vEBT_vebt_maxt(X8) = lG1839(X8)),
% 58.08/9.38 introduced(fool_let_definition,[new_symbols(definition,[lG1839])])).
% 58.08/9.38 tff(f65074,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (iG1813(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1842(lG1811(X7,X6))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46155,f65039])).
% 58.08/9.38 tff(f65039,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1812(X0,X1) = lG1842(lG1811(X0,X1))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46157,f46107])).
% 58.08/9.38 tff(f46157,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_maxt(lG1811(X0,X1)) = lG1812(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f20532])).
% 58.08/9.38 tff(f20532,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_maxt(lG1811(X0,X1)) = lG1812(X0,X1)),
% 58.08/9.38 inference(rectify,[],[f20360])).
% 58.08/9.38 tff(f20360,plain,(
% 58.08/9.38 ! [X7 : vEBT_VEBT,X4 : nat] : vEBT_vebt_maxt(lG1811(X7,X4)) = lG1812(X7,X4)),
% 58.08/9.38 introduced(fool_let_definition,[new_symbols(definition,[lG1812])])).
% 58.08/9.38 tff(f46155,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (iG1813(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1812(X7,X6)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27324])).
% 58.08/9.38 tff(f27324,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))))) = iG1813(X0,X1,X2,X3,X4,X5) | none(nat) = lG1812(X1,X0)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (iG1813(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1812(X7,X6))),
% 58.08/9.38 inference(ennf_transformation,[],[f20531])).
% 58.08/9.38 tff(f20531,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (none(nat) != lG1812(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))))) = iG1813(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (none(nat) = lG1812(X7,X6) => iG1813(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 inference(flattening,[],[f20530])).
% 58.08/9.38 tff(f20530,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~none(nat) = lG1812(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1812(X1,X0)))))) = iG1813(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (none(nat) = lG1812(X7,X6) => iG1813(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 inference(rectify,[],[f20361])).
% 58.08/9.38 tff(f20361,plain,(
% 58.08/9.38 ! [X4 : nat,X7 : vEBT_VEBT,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~none(nat) = lG1812(X7,X4) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1812(X7,X4)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X6,X4,X5)),aa(option(nat),nat,the2(nat),lG1812(X7,X4)))))) = iG1813(X4,X7,X5,X6,X3,X0)) & ! [X4 : nat,X7 : vEBT_VEBT,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (none(nat) = lG1812(X7,X4) => iG1813(X4,X7,X5,X6,X3,X0) = X0)),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG1813])])).
% 58.08/9.38 tff(f112530,plain,(
% 58.08/9.38 spl5880_5260),
% 58.08/9.38 inference(avatar_split_clause,[],[f69197,f112528])).
% 58.08/9.38 tff(f112528,plain,(
% 58.08/9.38 spl5880_5260 <=> ! [X10 : nat,X9 : list(vEBT_VEBT),X11 : nat,X6 : nat,X8 : nat,X7 : vEBT_VEBT] : (none(nat) != lG1839(lG1819(X7,X6)) | iG1821(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5260])])).
% 58.08/9.38 tff(f69197,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (none(nat) != lG1839(lG1819(X7,X6)) | iG1821(X6,X7,X8,X9,X10,X11) = X11) )),
% 58.08/9.38 inference(forward_demodulation,[],[f65068,f65054])).
% 58.08/9.38 tff(f65068,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (iG1821(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1842(lG1819(X7,X6))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46143,f65021])).
% 58.08/9.38 tff(f65021,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1820(X0,X1) = lG1842(lG1819(X0,X1))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46145,f46107])).
% 58.08/9.38 tff(f46145,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_maxt(lG1819(X0,X1)) = lG1820(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f20520])).
% 58.08/9.38 tff(f20520,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_maxt(lG1819(X0,X1)) = lG1820(X0,X1)),
% 58.08/9.38 inference(rectify,[],[f20384])).
% 58.08/9.38 tff(f20384,plain,(
% 58.08/9.38 ! [X6 : vEBT_VEBT,X5 : nat] : vEBT_vebt_maxt(lG1819(X6,X5)) = lG1820(X6,X5)),
% 58.08/9.38 introduced(fool_let_definition,[new_symbols(definition,[lG1820])])).
% 58.08/9.38 tff(f46143,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (iG1821(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1820(X7,X6)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27320])).
% 58.08/9.38 tff(f27320,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))))) = iG1821(X0,X1,X2,X3,X4,X5) | none(nat) = lG1820(X1,X0)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (iG1821(X6,X7,X8,X9,X10,X11) = X11 | none(nat) != lG1820(X7,X6))),
% 58.08/9.38 inference(ennf_transformation,[],[f20519])).
% 58.08/9.38 tff(f20519,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (none(nat) != lG1820(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))))) = iG1821(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (none(nat) = lG1820(X7,X6) => iG1821(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 inference(flattening,[],[f20518])).
% 58.08/9.38 tff(f20518,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~none(nat) = lG1820(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X3,X0,X2)),aa(option(nat),nat,the2(nat),lG1820(X1,X0)))))) = iG1821(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : vEBT_VEBT,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (none(nat) = lG1820(X7,X6) => iG1821(X6,X7,X8,X9,X10,X11) = X11)),
% 58.08/9.38 inference(rectify,[],[f20385])).
% 58.08/9.38 tff(f20385,plain,(
% 58.08/9.38 ! [X5 : nat,X6 : vEBT_VEBT,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~none(nat) = lG1820(X6,X5) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1820(X6,X5)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X7,X5,X8)),aa(option(nat),nat,the2(nat),lG1820(X6,X5)))))) = iG1821(X5,X6,X8,X7,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (none(nat) = lG1820(X6,X5) => iG1821(X5,X6,X8,X7,X3,X4) = X4)),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG1821])])).
% 58.08/9.38 tff(f112526,plain,(
% 58.08/9.38 spl5880_5259),
% 58.08/9.38 inference(avatar_split_clause,[],[f68856,f112524])).
% 58.08/9.38 tff(f112524,plain,(
% 58.08/9.38 spl5880_5259 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : take(X0,aa(list(X0),nat,size_size(list(X0)),X1),append(X0,X1,X2)) = X1),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5259])])).
% 58.08/9.38 tff(f68856,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (take(X0,aa(list(X0),nat,size_size(list(X0)),X1),append(X0,X1,X2)) = X1) )),
% 58.08/9.38 inference(equality_resolution,[],[f63338])).
% 58.08/9.38 tff(f63338,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1 | append(X0,X1,X2) != X3) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45184])).
% 58.08/9.38 tff(f45184,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : ((append(X0,X1,X2) = X3 | drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) != X2 | take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) != X1) & ((drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X2 & take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1) | append(X0,X1,X2) != X3))),
% 58.08/9.38 inference(flattening,[],[f45183])).
% 58.08/9.38 tff(f45183,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : ((append(X0,X1,X2) = X3 | (drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) != X2 | take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) != X1)) & ((drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X2 & take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1) | append(X0,X1,X2) != X3))),
% 58.08/9.38 inference(nnf_transformation,[],[f26978])).
% 58.08/9.38 tff(f26978,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : (append(X0,X1,X2) = X3 <=> (drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X2 & take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1))),
% 58.08/9.38 inference(rectify,[],[f7842])).
% 58.08/9.38 tff(f7842,axiom,(
% 58.08/9.38 ! [X0 : $tType,X64 : list(X0),X127 : list(X0),X374 : list(X0)] : (append(X0,X64,X127) = X374 <=> (drop(X0,aa(list(X0),nat,size_size(list(X0)),X64),X374) = X127 & take(X0,aa(list(X0),nat,size_size(list(X0)),X64),X374) = X64))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7841_append__eq__conv__conj)).
% 58.08/9.38 tff(f112522,plain,(
% 58.08/9.38 spl5880_5258),
% 58.08/9.38 inference(avatar_split_clause,[],[f68761,f112520])).
% 58.08/9.38 tff(f112520,plain,(
% 58.08/9.38 spl5880_5258 <=> ! [X0 : $tType,X1 : set(option(X0))] : ($true != aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),none(X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5258])])).
% 58.08/9.38 tff(f68761,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(option(X0))] : (($true != aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),none(X0)))) )),
% 58.08/9.38 inference(equality_resolution,[],[f62405])).
% 58.08/9.38 tff(f62405,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : option(X0),X1 : set(option(X0))] : (none(X0) != X2 | ($true != aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44663])).
% 58.08/9.38 tff(f44663,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(option(X0)),X2 : option(X0)] : ((($true = aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2)) | none(X0) = X2 | ~member(option(X0),X2,X1)) & ((none(X0) != X2 & member(option(X0),X2,X1)) | ($true != aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2))))),
% 58.08/9.38 inference(flattening,[],[f44662])).
% 58.08/9.38 tff(f44662,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(option(X0)),X2 : option(X0)] : ((($true = aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2)) | (none(X0) = X2 | ~member(option(X0),X2,X1))) & ((none(X0) != X2 & member(option(X0),X2,X1)) | ($true != aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2))))),
% 58.08/9.38 inference(nnf_transformation,[],[f18749])).
% 58.08/9.38 tff(f18749,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(option(X0)),X2 : option(X0)] : (($true = aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2)) <=> (none(X0) != X2 & member(option(X0),X2,X1)))),
% 58.08/9.38 inference(fool_elimination,[],[f18748])).
% 58.08/9.38 tff(f18748,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(option(X0)),X2 : option(X0)] : (aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X1),X2) <=> (none(X0) != X2 & member(option(X0),X2,X1)))),
% 58.08/9.38 inference(rectify,[],[f8268])).
% 58.08/9.38 tff(f8268,axiom,(
% 58.08/9.38 ! [X0 : $tType,X105 : set(option(X0)),X448 : option(X0)] : (aa(option(X0),$o,aTP_Lamp_np(set(option(X0)),fun(option(X0),$o),X105),X448) <=> (none(X0) != X448 & member(option(X0),X448,X105)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8267_ATP_Olambda__87)).
% 58.08/9.38 tff(f112518,plain,(
% 58.08/9.38 spl5880_5257),
% 58.08/9.38 inference(avatar_split_clause,[],[f68621,f112516])).
% 58.08/9.38 tff(f112516,plain,(
% 58.08/9.38 spl5880_5257 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (iG1503(X2,X1,X0) | X0 = X3 | X0 = X4 | ~sP2346(X0,X1,X2,X3,X4,$true))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5257])])).
% 58.08/9.38 tff(f68621,plain,(
% 58.08/9.38 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (iG1503(X2,X1,X0) | X0 = X3 | X0 = X4 | ~sP2346(X0,X1,X2,X3,X4,$true)) )),
% 58.08/9.38 inference(equality_resolution,[],[f61456])).
% 58.08/9.38 tff(f61456,plain,(
% 58.08/9.38 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (iG1503(X2,X1,X0) | X0 = X3 | X0 = X4 | ($true != X5) | ~sP2346(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43980])).
% 58.08/9.38 tff(f43980,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat,X5 : $o] : (((($true = X5) | (~iG1503(X2,X1,X0) & X0 != X3 & X0 != X4)) & (iG1503(X2,X1,X0) | X0 = X3 | X0 = X4 | ($true != X5))) | ~sP2346(X0,X1,X2,X3,X4,X5))),
% 58.08/9.38 inference(rectify,[],[f43979])).
% 58.08/9.38 tff(f43979,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : (((($true = X2) | (~iG1503(X14,X13,X1) & X1 != X12 & X1 != X11)) & (iG1503(X14,X13,X1) | X1 = X12 | X1 = X11 | ($true != X2))) | ~sP2346(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 inference(flattening,[],[f43978])).
% 58.08/9.38 tff(f43978,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : (((($true = X2) | (~iG1503(X14,X13,X1) & X1 != X12 & X1 != X11)) & ((iG1503(X14,X13,X1) | X1 = X12 | X1 = X11) | ($true != X2))) | ~sP2346(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37669])).
% 58.08/9.38 tff(f37669,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : ((($true = X2) <=> (iG1503(X14,X13,X1) | X1 = X12 | X1 = X11)) | ~sP2346(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2346])])).
% 58.08/9.38 tff(f112514,plain,(
% 58.08/9.38 spl5880_5256),
% 58.08/9.38 inference(avatar_split_clause,[],[f68612,f112512])).
% 58.08/9.38 tff(f112512,plain,(
% 58.08/9.38 spl5880_5256 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (iG1495(X2,X1,X0) | X0 = X3 | X0 = X4 | ~sP2340(X0,X1,X2,X3,X4,$true))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5256])])).
% 58.08/9.38 tff(f68612,plain,(
% 58.08/9.38 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (iG1495(X2,X1,X0) | X0 = X3 | X0 = X4 | ~sP2340(X0,X1,X2,X3,X4,$true)) )),
% 58.08/9.38 inference(equality_resolution,[],[f61436])).
% 58.08/9.38 tff(f61436,plain,(
% 58.08/9.38 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (iG1495(X2,X1,X0) | X0 = X3 | X0 = X4 | ($true != X5) | ~sP2340(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43952])).
% 58.08/9.38 tff(f43952,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat,X5 : $o] : (((iG1495(X2,X1,X0) | X0 = X3 | X0 = X4 | ($true != X5)) & ((~iG1495(X2,X1,X0) & X0 != X3 & X0 != X4) | ($true = X5))) | ~sP2340(X0,X1,X2,X3,X4,X5))),
% 58.08/9.38 inference(rectify,[],[f43951])).
% 58.08/9.38 tff(f43951,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : (((iG1495(X14,X13,X1) | X1 = X12 | X1 = X11 | ($true != X2)) & ((~iG1495(X14,X13,X1) & X1 != X12 & X1 != X11) | ($true = X2))) | ~sP2340(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 inference(flattening,[],[f43950])).
% 58.08/9.38 tff(f43950,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : ((((iG1495(X14,X13,X1) | X1 = X12 | X1 = X11) | ($true != X2)) & ((~iG1495(X14,X13,X1) & X1 != X12 & X1 != X11) | ($true = X2))) | ~sP2340(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37662])).
% 58.08/9.38 tff(f37662,plain,(
% 58.08/9.38 ! [X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X12 : nat,X11 : nat,X2 : $o] : ((($true = X2) <~> (~iG1495(X14,X13,X1) & X1 != X12 & X1 != X11)) | ~sP2340(X1,X13,X14,X12,X11,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2340])])).
% 58.08/9.38 tff(f112510,plain,(
% 58.08/9.38 spl5880_5255),
% 58.08/9.38 inference(avatar_split_clause,[],[f68020,f112508])).
% 58.08/9.38 tff(f112508,plain,(
% 58.08/9.38 spl5880_5255 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) | ~dvd(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5255])])).
% 58.08/9.38 tff(f68020,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) | ~dvd(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f54536])).
% 58.08/9.38 tff(f54536,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2 | ~dvd(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39936])).
% 58.08/9.38 tff(f39936,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | ! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),sK2840(X0,X1,X2)) = X2 | ~dvd_dvd(X0,X1,X2))) | ~dvd(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2840])],[f39934,f39935])).
% 58.08/9.38 tff(f39935,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4) = X2 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),sK2840(X0,X1,X2)) = X2)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f39934,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | ! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2) & (? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4) = X2 | ~dvd_dvd(X0,X1,X2))) | ~dvd(X0))),
% 58.08/9.38 inference(rectify,[],[f39933])).
% 58.08/9.38 tff(f39933,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | ! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2) & (? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2 | ~dvd_dvd(X0,X1,X2))) | ~dvd(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f31265])).
% 58.08/9.38 tff(f31265,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> ? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2) | ~dvd(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24600])).
% 58.08/9.38 tff(f24600,plain,(
% 58.08/9.38 ! [X0 : $tType] : (dvd(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> ? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2))),
% 58.08/9.38 inference(rectify,[],[f1963])).
% 58.08/9.38 tff(f1963,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (dvd(X0) => ! [X12 : X0,X11 : X0] : (dvd_dvd(X0,X12,X11) <=> ? [X47 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X47) = X11))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1962_dvd__def)).
% 58.08/9.38 tff(f112506,plain,(
% 58.08/9.38 spl5880_5254),
% 58.08/9.38 inference(avatar_split_clause,[],[f68011,f112504])).
% 58.08/9.38 tff(f112504,plain,(
% 58.08/9.38 spl5880_5254 <=> ! [X0 : $tType,X2 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) = aa($o,X0,zero_neq_one_of_bool(X0),bG506(X2)) | ~zero_neq_one(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5254])])).
% 58.08/9.38 tff(f68011,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) = aa($o,X0,zero_neq_one_of_bool(X0),bG506(X2)) | ~zero_neq_one(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f54491])).
% 58.08/9.38 tff(f54491,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : $o,X1 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG506(X1)) = aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) | (X1 != X2) | ~zero_neq_one(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39918])).
% 58.08/9.38 tff(f39918,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : $o,X2 : $o] : ((aa($o,X0,zero_neq_one_of_bool(X0),bG506(X1)) = aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) | (X1 != X2)) & ((X1 = X2) | aa($o,X0,zero_neq_one_of_bool(X0),bG506(X1)) != aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)))) | ~zero_neq_one(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f31239])).
% 58.08/9.38 tff(f31239,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : $o,X2 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG506(X1)) = aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) <=> (X1 = X2)) | ~zero_neq_one(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f12584])).
% 58.08/9.38 tff(f12584,plain,(
% 58.08/9.38 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o,X2 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG506(X1)) = aa($o,X0,zero_neq_one_of_bool(X0),bG507(X2)) <=> (X1 = X2)))),
% 58.08/9.38 inference(fool_elimination,[],[f12581,f12583,f12582])).
% 58.08/9.38 tff(f12582,plain,(
% 58.08/9.38 ! [X1 : $o] : (($true = X1) <=> ($true = bG506(X1)))),
% 58.08/9.38 introduced(fool_formula_definition,[new_symbols(definition,[bG506])])).
% 58.08/9.38 tff(f12583,plain,(
% 58.08/9.38 ! [X2 : $o] : (($true = X2) <=> ($true = bG507(X2)))),
% 58.08/9.38 introduced(fool_formula_definition,[new_symbols(definition,[bG507])])).
% 58.08/9.38 tff(f12581,plain,(
% 58.08/9.38 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o,X2 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X1) = aa($o,X0,zero_neq_one_of_bool(X0),X2) <=> (X1 <=> X2)))),
% 58.08/9.38 inference(rectify,[],[f2270])).
% 58.08/9.38 tff(f2270,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X83 : $o,X32 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X83) = aa($o,X0,zero_neq_one_of_bool(X0),X32) <=> (X83 <=> X32)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2269_of__bool__eq__iff)).
% 58.08/9.38 tff(f112502,plain,(
% 58.08/9.38 spl5880_5253),
% 58.08/9.38 inference(avatar_split_clause,[],[f67971,f112500])).
% 58.08/9.38 tff(f112500,plain,(
% 58.08/9.38 spl5880_5253 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5253])])).
% 58.08/9.38 tff(f67971,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f54130])).
% 58.08/9.38 tff(f54130,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = X1 | zero_zero(X0) != X2 | ~cancel1802427076303600483id_add(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39755])).
% 58.08/9.38 tff(f39755,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = X1 | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) != X1)) | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f30947])).
% 58.08/9.38 tff(f30947,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = X1 <=> zero_zero(X0) = X2) | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24466])).
% 58.08/9.38 tff(f24466,plain,(
% 58.08/9.38 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = X1 <=> zero_zero(X0) = X2))),
% 58.08/9.38 inference(rectify,[],[f860])).
% 58.08/9.38 tff(f860,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X12),X11) = X11 <=> zero_zero(X0) = X12))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_859_add__cancel__right__left)).
% 58.08/9.38 tff(f112498,plain,(
% 58.08/9.38 spl5880_5252),
% 58.08/9.38 inference(avatar_split_clause,[],[f67959,f112496])).
% 58.08/9.38 tff(f112496,plain,(
% 58.08/9.38 spl5880_5252 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~semiri1453513574482234551roduct(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5252])])).
% 58.08/9.38 tff(f67959,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~semiri1453513574482234551roduct(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f54097])).
% 58.08/9.38 tff(f54097,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 | zero_zero(X0) != X2 | ~semiri1453513574482234551roduct(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39744])).
% 58.08/9.38 tff(f39744,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) != X1)) | ~semiri1453513574482234551roduct(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f30920])).
% 58.08/9.38 tff(f30920,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 <=> zero_zero(X0) = X2) | ~semiri1453513574482234551roduct(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24449])).
% 58.08/9.38 tff(f24449,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semiri1453513574482234551roduct(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 <=> zero_zero(X0) = X2))),
% 58.08/9.38 inference(rectify,[],[f2765])).
% 58.08/9.38 tff(f2765,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (semiri1453513574482234551roduct(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X12),X11) = X12 <=> zero_zero(X0) = X11))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2764_add__0__iff)).
% 58.08/9.38 tff(f112494,plain,(
% 58.08/9.38 spl5880_5251),
% 58.08/9.38 inference(avatar_split_clause,[],[f67919,f112492])).
% 58.08/9.38 tff(f112492,plain,(
% 58.08/9.38 spl5880_5251 <=> ! [X0 : $tType] : (~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),top_top(set(X0))) | ~idom(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5251])])).
% 58.08/9.38 tff(f67919,plain,(
% 58.08/9.38 ( ! [X0 : $tType] : (~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),top_top(set(X0))) | ~idom(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f53723])).
% 58.08/9.38 tff(f53723,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 | ~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) | ~idom(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39682])).
% 58.08/9.38 tff(f39682,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : ((inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) | zero_zero(X0) = X1) & (zero_zero(X0) != X1 | ~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))))) | ~idom(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f30563])).
% 58.08/9.38 tff(f30563,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1) | ~idom(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24250])).
% 58.08/9.38 tff(f24250,plain,(
% 58.08/9.38 ! [X0 : $tType] : (idom(X0) => ! [X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1))),
% 58.08/9.38 inference(rectify,[],[f6937])).
% 58.08/9.38 tff(f6937,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (idom(X0) => ! [X11 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),top_top(set(X0))) <=> zero_zero(X0) != X11))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6936_inj__mult__left)).
% 58.08/9.38 tff(f112490,plain,(
% 58.08/9.38 spl5880_5250),
% 58.08/9.38 inference(avatar_split_clause,[],[f67897,f112488])).
% 58.08/9.38 tff(f112488,plain,(
% 58.08/9.38 spl5880_5250 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~ring_15535105094025558882visors(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5250])])).
% 58.08/9.38 tff(f67897,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~ring_15535105094025558882visors(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f53557])).
% 58.08/9.38 tff(f53557,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | one_one(X0) != X2 | ~ring_15535105094025558882visors(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39629])).
% 58.08/9.38 tff(f112486,plain,(
% 58.08/9.38 spl5880_5249),
% 58.08/9.38 inference(avatar_split_clause,[],[f67893,f112484])).
% 58.08/9.38 tff(f112484,plain,(
% 58.08/9.38 spl5880_5249 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X2) = X2 | ~ring_15535105094025558882visors(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5249])])).
% 58.08/9.38 tff(f67893,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X2) = X2 | ~ring_15535105094025558882visors(X0)) )),
% 58.08/9.38 inference(equality_resolution,[],[f53551])).
% 58.08/9.38 tff(f53551,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | one_one(X0) != X1 | ~ring_15535105094025558882visors(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39625])).
% 58.08/9.38 tff(f112481,plain,(
% 58.08/9.38 spl5880_5248),
% 58.08/9.38 inference(avatar_split_clause,[],[f67249,f112479])).
% 58.08/9.38 tff(f67249,plain,(
% 58.08/9.38 ( ! [X3 : $tType,X5 : X3] : (bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,zero_zero(nat),X5))) )),
% 58.08/9.38 inference(equality_resolution,[],[f65508])).
% 58.08/9.38 tff(f65508,plain,(
% 58.08/9.38 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (bot_bot(set(X3)) = aa(list(X3),set(X3),set2(X3),replicate(X3,X4,X5)) | zero_zero(nat) != X4) )),
% 58.08/9.38 inference(definition_unfolding,[],[f47730,f60254])).
% 58.08/9.38 tff(f60254,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(list(X0),set(X0),set2(X0),replicate(X0,X1,X2)) = iG991(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f17126])).
% 58.08/9.38 tff(f17126,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : aa(list(X0),set(X0),set2(X0),replicate(X0,X1,X2)) = iG991(X0,X1,X2)),
% 58.08/9.38 inference(fool_elimination,[],[f17124,f17125])).
% 58.08/9.38 tff(f17125,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG991(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => bot_bot(set(X0)) = iG991(X0,X1,X2))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG991])])).
% 58.08/9.38 tff(f17124,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : aa(list(X0),set(X0),set2(X0),replicate(X0,X1,X2)) = $ite(zero_zero(nat) = X1, bot_bot(set(X0)),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))))),
% 58.08/9.38 inference(rectify,[],[f2290])).
% 58.08/9.38 tff(f2290,axiom,(
% 58.08/9.38 ! [X0 : $tType,X8 : nat,X9 : X0] : aa(list(X0),set(X0),set2(X0),replicate(X0,X8,X9)) = $ite(zero_zero(nat) = X8, bot_bot(set(X0)),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2289_set__replicate__conv__if)).
% 58.08/9.38 tff(f47730,plain,(
% 58.08/9.38 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (bot_bot(set(X3)) = iG991(X3,X4,X5) | zero_zero(nat) != X4) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27731])).
% 58.08/9.38 tff(f27731,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG991(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (bot_bot(set(X3)) = iG991(X3,X4,X5) | zero_zero(nat) != X4)),
% 58.08/9.38 inference(ennf_transformation,[],[f21646])).
% 58.08/9.38 tff(f21646,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG991(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => bot_bot(set(X3)) = iG991(X3,X4,X5))),
% 58.08/9.38 inference(flattening,[],[f21645])).
% 58.08/9.38 tff(f21645,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG991(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => bot_bot(set(X3)) = iG991(X3,X4,X5))),
% 58.08/9.38 inference(rectify,[],[f17125])).
% 58.08/9.38 tff(f112476,plain,(
% 58.08/9.38 spl5880_5247),
% 58.08/9.38 inference(avatar_split_clause,[],[f66900,f112474])).
% 58.08/9.38 tff(f66900,plain,(
% 58.08/9.38 ( ! [X4 : $tType,X6 : list(X4),X7 : X4] : (nil(X4) = take(X4,zero_zero(nat),aa(list(X4),list(X4),cons(X4,X7),X6))) )),
% 58.08/9.38 inference(equality_resolution,[],[f65288])).
% 58.08/9.38 tff(f65288,plain,(
% 58.08/9.38 ( ! [X4 : $tType,X6 : list(X4),X7 : X4,X5 : nat] : (nil(X4) = take(X4,X5,aa(list(X4),list(X4),cons(X4,X7),X6)) | zero_zero(nat) != X5) )),
% 58.08/9.38 inference(definition_unfolding,[],[f46646,f62789])).
% 58.08/9.38 tff(f62789,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : nat] : (take(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) = iG1552(X0,X1,X3,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f18973])).
% 58.08/9.38 tff(f18973,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0,X3 : list(X0)] : take(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) = iG1552(X0,X1,X3,X2)),
% 58.08/9.38 inference(fool_elimination,[],[f18971,f18972])).
% 58.08/9.38 tff(f18972,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X3 : list(X0),X2 : X0] : (~zero_zero(nat) = X1 => aa(list(X0),list(X0),cons(X0,X2),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),X3)) = iG1552(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : nat,X3 : list(X0),X2 : X0] : (zero_zero(nat) = X1 => nil(X0) = iG1552(X0,X1,X3,X2))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG1552])])).
% 58.08/9.38 tff(f18971,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : X0,X3 : list(X0)] : take(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) = $ite(zero_zero(nat) = X1, nil(X0),aa(list(X0),list(X0),cons(X0,X2),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),X3)))),
% 58.08/9.38 inference(rectify,[],[f7823])).
% 58.08/9.38 tff(f7823,axiom,(
% 58.08/9.38 ! [X0 : $tType,X8 : nat,X9 : X0,X64 : list(X0)] : take(X0,X8,aa(list(X0),list(X0),cons(X0,X9),X64)) = $ite(zero_zero(nat) = X8, nil(X0),aa(list(X0),list(X0),cons(X0,X9),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat)),X64)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7822_take__Cons_H)).
% 58.08/9.38 tff(f46646,plain,(
% 58.08/9.38 ( ! [X4 : $tType,X6 : list(X4),X7 : X4,X5 : nat] : (nil(X4) = iG1552(X4,X5,X6,X7) | zero_zero(nat) != X5) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27488])).
% 58.08/9.38 tff(f27488,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (aa(list(X0),list(X0),cons(X0,X3),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),X2)) = iG1552(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (nil(X4) = iG1552(X4,X5,X6,X7) | zero_zero(nat) != X5)),
% 58.08/9.38 inference(ennf_transformation,[],[f20913])).
% 58.08/9.38 tff(f20913,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (zero_zero(nat) != X1 => aa(list(X0),list(X0),cons(X0,X3),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),X2)) = iG1552(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => nil(X4) = iG1552(X4,X5,X6,X7))),
% 58.08/9.38 inference(flattening,[],[f20912])).
% 58.08/9.38 tff(f20912,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(list(X0),list(X0),cons(X0,X3),take(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),X2)) = iG1552(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => nil(X4) = iG1552(X4,X5,X6,X7))),
% 58.08/9.38 inference(rectify,[],[f18972])).
% 58.08/9.38 tff(f112472,plain,(
% 58.08/9.38 spl5880_5246),
% 58.08/9.38 inference(avatar_split_clause,[],[f66814,f112470])).
% 58.08/9.38 tff(f112470,plain,(
% 58.08/9.38 spl5880_5246 <=> ! [X10 : nat,X11 : vEBT_VEBT,X9 : nat,X13 : list(vEBT_VEBT),X14 : nat,X12 : nat,X15 : nat] : iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X9,X9,X10,X11,X12,X13,X14,X15)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5246])])).
% 58.08/9.38 tff(f66814,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : vEBT_VEBT,X9 : nat,X14 : nat,X15 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X9,X9,X10,X11,X12,X13,X14,X15)) )),
% 58.08/9.38 inference(equality_resolution,[],[f46153])).
% 58.08/9.38 tff(f46153,plain,(
% 58.08/9.38 ( ! [X10 : nat,X11 : vEBT_VEBT,X8 : nat,X9 : nat,X14 : nat,X15 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X8,X9,X10,X11,X12,X13,X14,X15) | X8 != X9) )),
% 58.08/9.38 inference(cnf_transformation,[],[f27323])).
% 58.08/9.38 tff(f27323,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (iG1814(X0,X1,X2,X3,X4,X5,X6,X7) = X0 | X0 = X1) & ! [X8 : nat,X9 : nat,X10 : nat,X11 : vEBT_VEBT,X12 : nat,X13 : list(vEBT_VEBT),X14 : nat,X15 : nat] : (iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X8,X9,X10,X11,X12,X13,X14,X15) | X8 != X9)),
% 58.08/9.38 inference(ennf_transformation,[],[f20529])).
% 58.08/9.38 tff(f20529,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (X0 != X1 => iG1814(X0,X1,X2,X3,X4,X5,X6,X7) = X0) & ! [X8 : nat,X9 : nat,X10 : nat,X11 : vEBT_VEBT,X12 : nat,X13 : list(vEBT_VEBT),X14 : nat,X15 : nat] : (X8 = X9 => iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X8,X9,X10,X11,X12,X13,X14,X15))),
% 58.08/9.38 inference(flattening,[],[f20528])).
% 58.08/9.38 tff(f20528,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (~X0 = X1 => iG1814(X0,X1,X2,X3,X4,X5,X6,X7) = X0) & ! [X8 : nat,X9 : nat,X10 : nat,X11 : vEBT_VEBT,X12 : nat,X13 : list(vEBT_VEBT),X14 : nat,X15 : nat] : (X8 = X9 => iG1813(X10,X11,X12,X13,X14,X15) = iG1814(X8,X9,X10,X11,X12,X13,X14,X15))),
% 58.08/9.38 inference(rectify,[],[f20362])).
% 58.08/9.38 tff(f20362,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X4 : nat,X7 : vEBT_VEBT,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~X1 = X2 => iG1814(X2,X1,X4,X7,X5,X6,X3,X0) = X2) & ! [X2 : nat,X1 : nat,X4 : nat,X7 : vEBT_VEBT,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (X1 = X2 => iG1813(X4,X7,X5,X6,X3,X0) = iG1814(X2,X1,X4,X7,X5,X6,X3,X0))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG1814])])).
% 58.08/9.38 tff(f112468,plain,(
% 58.08/9.38 spl5880_5245),
% 58.08/9.38 inference(avatar_split_clause,[],[f66685,f112466])).
% 58.08/9.38 tff(f112466,plain,(
% 58.08/9.38 spl5880_5245 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,$o)] : (sP2483(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,iG1545(X0,X4,X3,X2))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5245])])).
% 58.08/9.38 tff(f66685,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (sP2483(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,iG1545(X0,X4,X3,X2)))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f64163,f62782])).
% 58.08/9.38 tff(f64163,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (sP2483(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,case_nat(X0,X2,X3,X4)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45717])).
% 58.08/9.38 tff(f45717,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : ((($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) | ~sP2483(X0,X4,X3,X1,X2)) & (sP2483(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,case_nat(X0,X2,X3,X4)))))),
% 58.08/9.38 inference(nnf_transformation,[],[f37899])).
% 58.08/9.38 tff(f37899,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> sP2483(X0,X4,X3,X1,X2))),
% 58.08/9.38 inference(definition_folding,[],[f36623,f37898])).
% 58.08/9.38 tff(f37898,plain,(
% 58.08/9.38 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : (sP2483(X0,X4,X3,X1,X2) <=> ((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2483])])).
% 58.08/9.38 tff(f36623,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> ((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)))),
% 58.08/9.38 inference(ennf_transformation,[],[f27152])).
% 58.08/9.38 tff(f27152,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> ~((($true != aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (($true != aa(X0,$o,X1,X2)) & zero_zero(nat) = X4)))),
% 58.08/9.38 inference(flattening,[],[f19777])).
% 58.08/9.38 tff(f19777,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> ~((~($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~($true = aa(X0,$o,X1,X2)) & zero_zero(nat) = X4)))),
% 58.08/9.38 inference(fool_elimination,[],[f19776])).
% 58.08/9.38 tff(f19776,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (aa(X0,$o,X1,case_nat(X0,X2,X3,X4)) <=> ~((~aa(X0,$o,X1,aa(nat,X0,X3,pred(X4))) & aa(nat,nat,suc,pred(X4)) = X4) | (~aa(X0,$o,X1,X2) & zero_zero(nat) = X4)))),
% 58.08/9.38 inference(rectify,[],[f5504])).
% 58.08/9.38 tff(f5504,axiom,(
% 58.08/9.38 ! [X0 : $tType,X26 : fun(X0,$o),X230 : X0,X293 : fun(nat,X0),X36 : nat] : (aa(X0,$o,X26,case_nat(X0,X230,X293,X36)) <=> ~((~aa(X0,$o,X26,aa(nat,X0,X293,pred(X36))) & aa(nat,nat,suc,pred(X36)) = X36) | (~aa(X0,$o,X26,X230) & zero_zero(nat) = X36)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5503_nat_Osplit__sels_I2_J)).
% 58.08/9.38 tff(f112464,plain,(
% 58.08/9.38 spl5880_5244),
% 58.08/9.38 inference(avatar_split_clause,[],[f66684,f112462])).
% 58.08/9.38 tff(f112462,plain,(
% 58.08/9.38 spl5880_5244 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,iG1545(X0,X4,X3,X2))) | ~sP2483(X0,X4,X3,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5244])])).
% 58.08/9.38 tff(f66684,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (($true = aa(X0,$o,X1,iG1545(X0,X4,X3,X2))) | ~sP2483(X0,X4,X3,X1,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f64164,f62782])).
% 58.08/9.38 tff(f64164,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) | ~sP2483(X0,X4,X3,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45717])).
% 58.08/9.38 tff(f112460,plain,(
% 58.08/9.38 spl5880_5243),
% 58.08/9.38 inference(avatar_split_clause,[],[f66678,f112458])).
% 58.08/9.38 tff(f112458,plain,(
% 58.08/9.38 spl5880_5243 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,$o)] : (sP2482(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,iG1545(X0,X4,X3,X2))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5243])])).
% 58.08/9.38 tff(f66678,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (sP2482(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,iG1545(X0,X4,X3,X2)))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f64155,f62782])).
% 58.08/9.38 tff(f64155,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (sP2482(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,case_nat(X0,X2,X3,X4)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45713])).
% 58.08/9.38 tff(f45713,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : ((($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) | ~sP2482(X0,X4,X3,X1,X2)) & (sP2482(X0,X4,X3,X1,X2) | ($true != aa(X0,$o,X1,case_nat(X0,X2,X3,X4)))))),
% 58.08/9.38 inference(nnf_transformation,[],[f37897])).
% 58.08/9.38 tff(f37897,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> sP2482(X0,X4,X3,X1,X2))),
% 58.08/9.38 inference(definition_folding,[],[f36622,f37896])).
% 58.08/9.38 tff(f37896,plain,(
% 58.08/9.38 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : (sP2482(X0,X4,X3,X1,X2) <=> ((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2482])])).
% 58.08/9.38 tff(f36622,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> ((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)))),
% 58.08/9.38 inference(ennf_transformation,[],[f19775])).
% 58.08/9.38 tff(f19775,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) <=> ((aa(nat,nat,suc,pred(X4)) = X4 => ($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4))))) & (zero_zero(nat) = X4 => ($true = aa(X0,$o,X1,X2)))))),
% 58.08/9.38 inference(fool_elimination,[],[f19774])).
% 58.08/9.38 tff(f19774,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (aa(X0,$o,X1,case_nat(X0,X2,X3,X4)) <=> ((aa(nat,nat,suc,pred(X4)) = X4 => aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & (zero_zero(nat) = X4 => aa(X0,$o,X1,X2))))),
% 58.08/9.38 inference(rectify,[],[f5515])).
% 58.08/9.38 tff(f5515,axiom,(
% 58.08/9.38 ! [X0 : $tType,X26 : fun(X0,$o),X230 : X0,X293 : fun(nat,X0),X36 : nat] : (aa(X0,$o,X26,case_nat(X0,X230,X293,X36)) <=> ((aa(nat,nat,suc,pred(X36)) = X36 => aa(X0,$o,X26,aa(nat,X0,X293,pred(X36)))) & (zero_zero(nat) = X36 => aa(X0,$o,X26,X230))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5514_nat_Osplit__sels_I1_J)).
% 58.08/9.38 tff(f112456,plain,(
% 58.08/9.38 spl5880_5242),
% 58.08/9.38 inference(avatar_split_clause,[],[f66677,f112454])).
% 58.08/9.38 tff(f112454,plain,(
% 58.08/9.38 spl5880_5242 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,iG1545(X0,X4,X3,X2))) | ~sP2482(X0,X4,X3,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5242])])).
% 58.08/9.38 tff(f66677,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (($true = aa(X0,$o,X1,iG1545(X0,X4,X3,X2))) | ~sP2482(X0,X4,X3,X1,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f64156,f62782])).
% 58.08/9.38 tff(f64156,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,$o),X4 : nat] : (($true = aa(X0,$o,X1,case_nat(X0,X2,X3,X4))) | ~sP2482(X0,X4,X3,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45713])).
% 58.08/9.38 tff(f112452,plain,(
% 58.08/9.38 spl5880_5241),
% 58.08/9.38 inference(avatar_split_clause,[],[f66541,f112450])).
% 58.08/9.38 tff(f112450,plain,(
% 58.08/9.38 spl5880_5241 <=> ! [X2 : nat,X0 : nat,X1 : nat,X3 : list(nat)] : (X0 = X2 | iG638(X1,X0) != aa(list(nat),list(nat),cons(nat,X2),X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5241])])).
% 58.08/9.38 tff(f66541,plain,(
% 58.08/9.38 ( ! [X2 : nat,X3 : list(nat),X0 : nat,X1 : nat] : (X0 = X2 | iG638(X1,X0) != aa(list(nat),list(nat),cons(nat,X2),X3)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f63373,f57184])).
% 58.08/9.38 tff(f57184,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : nat] : (upt(X0,X1) = iG638(X1,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14615])).
% 58.08/9.38 tff(f14615,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : upt(X0,X1) = iG638(X1,X0)),
% 58.08/9.38 inference(fool_elimination,[],[f14613,f14614])).
% 58.08/9.38 tff(f14614,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => nil(nat) = iG638(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => aa(list(nat),list(nat),cons(nat,X0),upt(aa(nat,nat,suc,X0),X1)) = iG638(X1,X0))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG638])])).
% 58.08/9.38 tff(f14613,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : upt(X0,X1) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1), aa(list(nat),list(nat),cons(nat,X0),upt(aa(nat,nat,suc,X0),X1)),nil(nat))),
% 58.08/9.38 inference(rectify,[],[f7911])).
% 58.08/9.38 tff(f7911,axiom,(
% 58.08/9.38 ! [X25 : nat,X40 : nat] : upt(X25,X40) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X25),X40), aa(list(nat),list(nat),cons(nat,X25),upt(aa(nat,nat,suc,X25),X40)),nil(nat))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7910_upt__rec)).
% 58.08/9.38 tff(f63373,plain,(
% 58.08/9.38 ( ! [X2 : nat,X3 : list(nat),X0 : nat,X1 : nat] : (X0 = X2 | upt(X0,X1) != aa(list(nat),list(nat),cons(nat,X2),X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45214])).
% 58.08/9.38 tff(f45214,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(nat)] : ((upt(X0,X1) = aa(list(nat),list(nat),cons(nat,X2),X3) | upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) != X3 | X0 != X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) & ((upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) = X3 & X0 = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) | upt(X0,X1) != aa(list(nat),list(nat),cons(nat,X2),X3)))),
% 58.08/9.38 inference(flattening,[],[f45213])).
% 58.08/9.38 tff(f45213,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(nat)] : ((upt(X0,X1) = aa(list(nat),list(nat),cons(nat,X2),X3) | (upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) != X3 | X0 != X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)))) & ((upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) = X3 & X0 = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) | upt(X0,X1) != aa(list(nat),list(nat),cons(nat,X2),X3)))),
% 58.08/9.38 inference(nnf_transformation,[],[f19327])).
% 58.08/9.38 tff(f19327,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(nat)] : (upt(X0,X1) = aa(list(nat),list(nat),cons(nat,X2),X3) <=> (upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) = X3 & X0 = X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f19326])).
% 58.08/9.38 tff(f19326,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(nat)] : (upt(X0,X1) = aa(list(nat),list(nat),cons(nat,X2),X3) <=> (upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)),X1) = X3 & X0 = X2 & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)))),
% 58.08/9.38 inference(rectify,[],[f7910])).
% 58.08/9.38 tff(f7910,axiom,(
% 58.08/9.38 ! [X25 : nat,X40 : nat,X9 : nat,X64 : list(nat)] : (aa(list(nat),list(nat),cons(nat,X9),X64) = upt(X25,X40) <=> (upt(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X25),one_one(nat)),X40) = X64 & X9 = X25 & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X25),X40)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7909_upt__eq__Cons__conv)).
% 58.08/9.38 tff(f112448,plain,(
% 58.08/9.38 spl5880_5240),
% 58.08/9.38 inference(avatar_split_clause,[],[f66394,f112446])).
% 58.08/9.38 tff(f112446,plain,(
% 58.08/9.38 spl5880_5240 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2385(X2,X1,X0) | ~vEBT_is_succ_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5240])])).
% 58.08/9.38 tff(f66394,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2385(X2,X1,X0) | ~vEBT_is_succ_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f62093,f50284])).
% 58.08/9.38 tff(f50284,plain,(
% 58.08/9.38 ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_set_vebt(X0) = aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22814])).
% 58.08/9.38 tff(f22814,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT] : vEBT_VEBT_set_vebt(X0) = aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0))),
% 58.08/9.38 inference(rectify,[],[f665])).
% 58.08/9.38 tff(f665,axiom,(
% 58.08/9.38 ! [X7 : vEBT_VEBT] : vEBT_VEBT_set_vebt(X7) = aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X7))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_664_set__vebt_H__def)).
% 58.08/9.38 tff(f62093,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2385(X2,X1,X0) | ~vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44403])).
% 58.08/9.38 tff(f44403,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : ((vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) | ~sP2385(X2,X1,X0)) & (sP2385(X2,X1,X0) | ~vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37731])).
% 58.08/9.38 tff(f37731,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> sP2385(X2,X1,X0))),
% 58.08/9.38 inference(definition_folding,[],[f35892,f37730])).
% 58.08/9.38 tff(f35892,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(flattening,[],[f35891])).
% 58.08/9.38 tff(f35891,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(ennf_transformation,[],[f18647])).
% 58.08/9.38 tff(f18647,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(fool_elimination,[],[f18646])).
% 58.08/9.38 tff(f18646,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3) & aa(nat,$o,vEBT_vebt_member(X0),X3)) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2) & aa(nat,$o,vEBT_vebt_member(X0),X2)))),
% 58.08/9.38 inference(rectify,[],[f314])).
% 58.08/9.38 tff(f314,axiom,(
% 58.08/9.38 ! [X7 : vEBT_VEBT,X9 : nat,X18 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X7),X9,X18) <=> (! [X78 : nat] : ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),X78) & aa(nat,$o,vEBT_vebt_member(X7),X78)) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X18),X78)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),X18) & aa(nat,$o,vEBT_vebt_member(X7),X18)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_succ__member)).
% 58.08/9.38 tff(f112444,plain,(
% 58.08/9.38 spl5880_5239),
% 58.08/9.38 inference(avatar_split_clause,[],[f66393,f112442])).
% 58.08/9.38 tff(f112442,plain,(
% 58.08/9.38 spl5880_5239 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_succ_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2) | ~sP2385(X2,X1,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5239])])).
% 58.08/9.38 tff(f66393,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_succ_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2) | ~sP2385(X2,X1,X0)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f62094,f50284])).
% 58.08/9.38 tff(f62094,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) | ~sP2385(X2,X1,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44403])).
% 58.08/9.38 tff(f112440,plain,(
% 58.08/9.38 spl5880_5238),
% 58.08/9.38 inference(avatar_split_clause,[],[f66392,f112438])).
% 58.08/9.38 tff(f112438,plain,(
% 58.08/9.38 spl5880_5238 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2384(X2,X1,X0) | ~vEBT_is_pred_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5238])])).
% 58.08/9.38 tff(f66392,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2384(X2,X1,X0) | ~vEBT_is_pred_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f62085,f50284])).
% 58.08/9.38 tff(f62085,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (sP2384(X2,X1,X0) | ~vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44397])).
% 58.08/9.38 tff(f44397,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : ((vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) | ~sP2384(X2,X1,X0)) & (sP2384(X2,X1,X0) | ~vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37729])).
% 58.08/9.38 tff(f37729,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> sP2384(X2,X1,X0))),
% 58.08/9.38 inference(definition_folding,[],[f35890,f37728])).
% 58.08/9.38 tff(f35890,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(flattening,[],[f35889])).
% 58.08/9.38 tff(f35889,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(ennf_transformation,[],[f18645])).
% 58.08/9.38 tff(f18645,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X3))) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & ($true = aa(nat,$o,vEBT_vebt_member(X0),X2))))),
% 58.08/9.38 inference(fool_elimination,[],[f18644])).
% 58.08/9.38 tff(f18644,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) <=> (! [X3 : nat] : ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1) & aa(nat,$o,vEBT_vebt_member(X0),X3)) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1) & aa(nat,$o,vEBT_vebt_member(X0),X2)))),
% 58.08/9.38 inference(rectify,[],[f313])).
% 58.08/9.38 tff(f313,axiom,(
% 58.08/9.38 ! [X7 : vEBT_VEBT,X9 : nat,X18 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X7),X9,X18) <=> (! [X78 : nat] : ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X78),X9) & aa(nat,$o,vEBT_vebt_member(X7),X78)) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X78),X18)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X18),X9) & aa(nat,$o,vEBT_vebt_member(X7),X18)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_pred__member)).
% 58.08/9.38 tff(f112436,plain,(
% 58.08/9.38 spl5880_5237),
% 58.08/9.38 inference(avatar_split_clause,[],[f66391,f112434])).
% 58.08/9.38 tff(f112434,plain,(
% 58.08/9.38 spl5880_5237 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_pred_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2) | ~sP2384(X2,X1,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5237])])).
% 58.08/9.38 tff(f66391,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_pred_in_set(aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0)),X1,X2) | ~sP2384(X2,X1,X0)) )),
% 58.08/9.38 inference(definition_unfolding,[],[f62086,f50284])).
% 58.08/9.38 tff(f62086,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(X0),X1,X2) | ~sP2384(X2,X1,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44397])).
% 58.08/9.38 tff(f112428,plain,(
% 58.08/9.38 spl5880_5236 | ~spl5880_319 | ~spl5880_3620 | ~spl5880_5235),
% 58.08/9.38 inference(avatar_split_clause,[],[f112424,f112421,f99386,f80038,f112426])).
% 58.08/9.38 tff(f112426,plain,(
% 58.08/9.38 spl5880_5236 <=> ! [X0 : int] : aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),X0)) = iG493(rat,X0)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5236])])).
% 58.08/9.38 tff(f80038,plain,(
% 58.08/9.38 spl5880_319 <=> ring_1(rat)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_319])])).
% 58.08/9.38 tff(f99386,plain,(
% 58.08/9.38 spl5880_3620 <=> ! [X0 : $tType,X1 : int] : (aa(int,X0,ring_1_of_int(X0),X1) = iG493(X0,X1) | ~ring_1(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_3620])])).
% 58.08/9.38 tff(f112421,plain,(
% 58.08/9.38 spl5880_5235 <=> ! [X0 : int] : aa(int,rat,ring_1_of_int(rat),X0) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5235])])).
% 58.08/9.38 tff(f112424,plain,(
% 58.08/9.38 ( ! [X0 : int] : (aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),X0)) = iG493(rat,X0)) ) | (~spl5880_319 | ~spl5880_3620 | ~spl5880_5235)),
% 58.08/9.38 inference(forward_demodulation,[],[f112422,f100182])).
% 58.08/9.38 tff(f100182,plain,(
% 58.08/9.38 ( ! [X0 : int] : (aa(int,rat,ring_1_of_int(rat),X0) = iG493(rat,X0)) ) | (~spl5880_319 | ~spl5880_3620)),
% 58.08/9.38 inference(resolution,[],[f99387,f80040])).
% 58.08/9.38 tff(f80040,plain,(
% 58.08/9.38 ring_1(rat) | ~spl5880_319),
% 58.08/9.38 inference(avatar_component_clause,[],[f80038])).
% 58.08/9.38 tff(f99387,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : int] : (~ring_1(X0) | aa(int,X0,ring_1_of_int(X0),X1) = iG493(X0,X1)) ) | ~spl5880_3620),
% 58.08/9.38 inference(avatar_component_clause,[],[f99386])).
% 58.08/9.38 tff(f112422,plain,(
% 58.08/9.38 ( ! [X0 : int] : (aa(int,rat,ring_1_of_int(rat),X0) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),X0))) ) | ~spl5880_5235),
% 58.08/9.38 inference(avatar_component_clause,[],[f112421])).
% 58.08/9.38 tff(f112423,plain,(
% 58.08/9.38 spl5880_5235),
% 58.08/9.38 inference(avatar_split_clause,[],[f65777,f112421])).
% 58.08/9.38 tff(f65777,plain,(
% 58.08/9.38 ( ! [X0 : int] : (aa(int,rat,ring_1_of_int(rat),X0) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),X0))) )),
% 58.08/9.38 inference(definition_unfolding,[],[f50260,f57183])).
% 58.08/9.38 tff(f57183,plain,(
% 58.08/9.38 ( ! [X0 : int,X1 : int] : (fract(X0,X1) = aa(product_prod(int,int),rat,abs_Rat,iG637(X1,X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14612])).
% 58.08/9.38 tff(f14612,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : fract(X0,X1) = aa(product_prod(int,int),rat,abs_Rat,iG637(X1,X0))),
% 58.08/9.38 inference(fool_elimination,[],[f14610,f14611])).
% 58.08/9.38 tff(f14611,plain,(
% 58.08/9.38 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),X1) = iG637(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG637(X1,X0))),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG637])])).
% 58.08/9.38 tff(f14610,plain,(
% 58.08/9.38 ! [X0 : int,X1 : int] : fract(X0,X1) = aa(product_prod(int,int),rat,abs_Rat,$ite(zero_zero(int) = X1, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X0),X1)))),
% 58.08/9.38 inference(rectify,[],[f7774])).
% 58.08/9.38 tff(f7774,axiom,(
% 58.08/9.38 ! [X111 : int,X9 : int] : fract(X111,X9) = aa(product_prod(int,int),rat,abs_Rat,$ite(zero_zero(int) = X9, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X111),X9)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7773_Fract_Oabs__eq)).
% 58.08/9.38 tff(f50260,plain,(
% 58.08/9.38 ( ! [X0 : int] : (fract(X0,one_one(int)) = aa(int,rat,ring_1_of_int(rat),X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f22791])).
% 58.08/9.38 tff(f22791,plain,(
% 58.08/9.38 ! [X0 : int] : fract(X0,one_one(int)) = aa(int,rat,ring_1_of_int(rat),X0)),
% 58.08/9.38 inference(rectify,[],[f7300])).
% 58.08/9.38 tff(f7300,axiom,(
% 58.08/9.38 ! [X24 : int] : fract(X24,one_one(int)) = aa(int,rat,ring_1_of_int(rat),X24)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7299_Fract__of__int__eq)).
% 58.08/9.38 tff(f112419,plain,(
% 58.08/9.38 spl5880_5234),
% 58.08/9.38 inference(avatar_split_clause,[],[f65755,f112416])).
% 58.08/9.38 tff(f112416,plain,(
% 58.08/9.38 spl5880_5234 <=> none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un6178654185764691216or_num,one2),one2)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5234])])).
% 58.08/9.38 tff(f65755,plain,(
% 58.08/9.38 none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un6178654185764691216or_num,one2),one2)),
% 58.08/9.38 inference(definition_unfolding,[],[f50075,f50028])).
% 58.08/9.38 tff(f50028,plain,(
% 58.08/9.38 bit_un2480387367778600638or_num = bit_un6178654185764691216or_num),
% 58.08/9.38 inference(cnf_transformation,[],[f7550])).
% 58.08/9.38 tff(f7550,axiom,(
% 58.08/9.38 bit_un2480387367778600638or_num = bit_un6178654185764691216or_num),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7549_xor__num__dict)).
% 58.08/9.38 tff(f50075,plain,(
% 58.08/9.38 none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2)),
% 58.08/9.38 inference(cnf_transformation,[],[f7537])).
% 58.08/9.38 tff(f7537,axiom,(
% 58.08/9.38 none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7536_xor__num_Osimps_I1_J)).
% 58.08/9.38 tff(f112413,plain,(
% 58.08/9.38 spl5880_5233),
% 58.08/9.38 inference(avatar_split_clause,[],[f64773,f112411])).
% 58.08/9.38 tff(f112411,plain,(
% 58.08/9.38 spl5880_5233 <=> ! [X5 : nat,X6 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X0 = X4 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5233])])).
% 58.08/9.38 tff(f64773,plain,(
% 58.08/9.38 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X0 = X4 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f46073])).
% 58.08/9.38 tff(f46073,plain,(
% 58.08/9.38 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) | X3 != X7 | X2 != X6 | X1 != X5 | X0 != X4) & ((X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4) | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)))),
% 58.08/9.38 inference(flattening,[],[f46072])).
% 58.08/9.38 tff(f46072,plain,(
% 58.08/9.38 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) | (X3 != X7 | X2 != X6 | X1 != X5 | X0 != X4)) & ((X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4) | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)))),
% 58.08/9.38 inference(nnf_transformation,[],[f27266])).
% 58.08/9.38 tff(f27266,plain,(
% 58.08/9.38 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) <=> (X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4))),
% 58.08/9.38 inference(rectify,[],[f483])).
% 58.08/9.38 tff(f483,axiom,(
% 58.08/9.38 ! [X84 : option(product_prod(nat,nat)),X85 : nat,X86 : list(vEBT_VEBT),X87 : vEBT_VEBT,X88 : option(product_prod(nat,nat)),X89 : nat,X90 : list(vEBT_VEBT),X91 : vEBT_VEBT] : (vEBT_Node(X84,X85,X86,X87) = vEBT_Node(X88,X89,X90,X91) <=> (X87 = X91 & X86 = X90 & X85 = X89 & X84 = X88))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_482_VEBT_Oinject_I1_J)).
% 58.08/9.38 tff(f112409,plain,(
% 58.08/9.38 spl5880_5232),
% 58.08/9.38 inference(avatar_split_clause,[],[f64421,f112407])).
% 58.08/9.38 tff(f112407,plain,(
% 58.08/9.38 spl5880_5232 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5748(X0,X1,X2),top_top(set(real))),X0) | ~sP2487(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5232])])).
% 58.08/9.38 tff(f64421,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5748(X0,X1,X2),top_top(set(real))),X0) | ~sP2487(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45855])).
% 58.08/9.38 tff(f45855,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5748(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5748(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5748(X0,X1,X2)))) | ~sP2487(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5748])],[f45853,f45854])).
% 58.08/9.38 tff(f45854,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) => (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5748(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5748(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5748(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45853,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) | ~sP2487(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f45852])).
% 58.08/9.38 tff(f45852,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X6 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X6,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X6))) | ~sP2487(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37906])).
% 58.08/9.38 tff(f37906,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X6 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X6,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X6))) | ~sP2487(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2487])])).
% 58.08/9.38 tff(f112405,plain,(
% 58.08/9.38 spl5880_5231),
% 58.08/9.38 inference(avatar_split_clause,[],[f64418,f112403])).
% 58.08/9.38 tff(f112403,plain,(
% 58.08/9.38 spl5880_5231 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5747(X0,X1,X2),top_top(set(real))),X0) | ~sP2488(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5231])])).
% 58.08/9.38 tff(f64418,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5747(X0,X1,X2),top_top(set(real))),X0) | ~sP2488(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45851])).
% 58.08/9.38 tff(f45851,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5747(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5747(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5747(X0,X1,X2)))) | ~sP2488(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5747])],[f45849,f45850])).
% 58.08/9.38 tff(f45850,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) => (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5747(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5747(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5747(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45849,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) | ~sP2488(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f45848])).
% 58.08/9.38 tff(f45848,plain,(
% 58.08/9.38 ! [X3 : fun(real,real),X1 : real,X0 : real] : (? [X7 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X7,top_top(set(real))),X3) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X7))) | ~sP2488(X3,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37907])).
% 58.08/9.38 tff(f37907,plain,(
% 58.08/9.38 ! [X3 : fun(real,real),X1 : real,X0 : real] : (? [X7 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X7,top_top(set(real))),X3) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X7))) | ~sP2488(X3,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2488])])).
% 58.08/9.38 tff(f112401,plain,(
% 58.08/9.38 spl5880_5230),
% 58.08/9.38 inference(avatar_split_clause,[],[f63786,f112399])).
% 58.08/9.38 tff(f112399,plain,(
% 58.08/9.38 spl5880_5230 <=> ! [X1 : $tType,X0 : option(X1),X3 : option(X1),X2 : option(X1)] : (aa(X1,option(X1),some(X1),sK5560(X1,X3)) = X3 | ~sP2461(X1,X0,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5230])])).
% 58.08/9.38 tff(f63786,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : option(X1),X3 : option(X1),X0 : option(X1)] : (aa(X1,option(X1),some(X1),sK5560(X1,X3)) = X3 | ~sP2461(X1,X0,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45443])).
% 58.08/9.38 tff(f45443,plain,(
% 58.08/9.38 ! [X0 : option(X1),X1 : $tType,X2 : option(X1),X3 : option(X1)] : ((none(X1) = X0 & none(X1) = X2 & aa(X1,option(X1),some(X1),sK5560(X1,X3)) = X3) | ~sP2461(X1,X0,X2,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5560])],[f45441,f45442])).
% 58.08/9.38 tff(f45442,plain,(
% 58.08/9.38 ! [X1 : $tType,X3 : option(X1)] : (? [X4 : X1] : aa(X1,option(X1),some(X1),X4) = X3 => aa(X1,option(X1),some(X1),sK5560(X1,X3)) = X3)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45441,plain,(
% 58.08/9.38 ! [X0 : option(X1),X1 : $tType,X2 : option(X1),X3 : option(X1)] : ((none(X1) = X0 & none(X1) = X2 & ? [X4 : X1] : aa(X1,option(X1),some(X1),X4) = X3) | ~sP2461(X1,X0,X2,X3))),
% 58.08/9.38 inference(rectify,[],[f45440])).
% 58.08/9.38 tff(f45440,plain,(
% 58.08/9.38 ! [X4 : option(X0),X0 : $tType,X3 : option(X0),X2 : option(X0)] : ((none(X0) = X4 & none(X0) = X3 & ? [X5 : X0] : aa(X0,option(X0),some(X0),X5) = X2) | ~sP2461(X0,X4,X3,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37856])).
% 58.08/9.38 tff(f37856,plain,(
% 58.08/9.38 ! [X4 : option(X0),X0 : $tType,X3 : option(X0),X2 : option(X0)] : ((none(X0) = X4 & none(X0) = X3 & ? [X5 : X0] : aa(X0,option(X0),some(X0),X5) = X2) | ~sP2461(X0,X4,X3,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2461])])).
% 58.08/9.38 tff(f112397,plain,(
% 58.08/9.38 spl5880_5229),
% 58.08/9.38 inference(avatar_split_clause,[],[f63440,f112395])).
% 58.08/9.38 tff(f112395,plain,(
% 58.08/9.38 spl5880_5229 <=> ! [X1 : $tType,X3 : set(X1),X0 : set(product_prod(X1,X1)),X6 : X1,X2 : set(X1)] : (member(X1,sK5499(X1,X0,X2,X6),X2) | ~member(X1,X6,X3) | ~sP2455(X1,X0,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5229])])).
% 58.08/9.38 tff(f63440,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : set(X1),X3 : set(X1),X0 : set(product_prod(X1,X1)),X6 : X1] : (member(X1,sK5499(X1,X0,X2,X6),X2) | ~member(X1,X6,X3) | ~sP2455(X1,X0,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45268])).
% 58.08/9.38 tff(f45268,plain,(
% 58.08/9.38 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : set(X1),X3 : set(X1)] : ((sP2455(X1,X0,X2,X3) | (! [X5 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5498(X1,X0,X2,X3)),X5),X0) | ~member(X1,X5,X2)) & member(X1,sK5498(X1,X0,X2,X3),X3))) & (! [X6 : X1] : ((member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X6),sK5499(X1,X0,X2,X6)),X0) & member(X1,sK5499(X1,X0,X2,X6),X2)) | ~member(X1,X6,X3)) | ~sP2455(X1,X0,X2,X3)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5498,sK5499])],[f45265,f45267,f45266])).
% 58.08/9.38 tff(f45266,plain,(
% 58.08/9.38 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : set(X1),X3 : set(X1)] : (? [X4 : X1] : (! [X5 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X0) | ~member(X1,X5,X2)) & member(X1,X4,X3)) => (! [X5 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5498(X1,X0,X2,X3)),X5),X0) | ~member(X1,X5,X2)) & member(X1,sK5498(X1,X0,X2,X3),X3)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45267,plain,(
% 58.08/9.38 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : set(X1),X6 : X1] : (? [X7 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X6),X7),X0) & member(X1,X7,X2)) => (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X6),sK5499(X1,X0,X2,X6)),X0) & member(X1,sK5499(X1,X0,X2,X6),X2)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45265,plain,(
% 58.08/9.38 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : set(X1),X3 : set(X1)] : ((sP2455(X1,X0,X2,X3) | ? [X4 : X1] : (! [X5 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X0) | ~member(X1,X5,X2)) & member(X1,X4,X3))) & (! [X6 : X1] : (? [X7 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X6),X7),X0) & member(X1,X7,X2)) | ~member(X1,X6,X3)) | ~sP2455(X1,X0,X2,X3)))),
% 58.08/9.38 inference(rectify,[],[f45264])).
% 58.08/9.38 tff(f45264,plain,(
% 58.08/9.38 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : set(X0),X1 : set(X0)] : ((sP2455(X0,X3,X2,X1) | ? [X4 : X0] : (! [X5 : X0] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),X3) | ~member(X0,X5,X2)) & member(X0,X4,X1))) & (! [X4 : X0] : (? [X5 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),X3) & member(X0,X5,X2)) | ~member(X0,X4,X1)) | ~sP2455(X0,X3,X2,X1)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37844])).
% 58.08/9.38 tff(f37844,plain,(
% 58.08/9.38 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : set(X0),X1 : set(X0)] : (sP2455(X0,X3,X2,X1) <=> ! [X4 : X0] : (? [X5 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),X3) & member(X0,X5,X2)) | ~member(X0,X4,X1)))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2455])])).
% 58.08/9.38 tff(f112393,plain,(
% 58.08/9.38 spl5880_5228),
% 58.08/9.38 inference(avatar_split_clause,[],[f63407,f112391])).
% 58.08/9.38 tff(f112391,plain,(
% 58.08/9.38 spl5880_5228 <=> ! [X3 : $tType,X0 : X3,X2 : set(product_prod(X3,X3)),X1 : X3] : (sP2452(X3,X2,X1,X0) | sK5488(X3,X0,X1,X2) = X1 | ~sP2453(X3,X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5228])])).
% 58.08/9.38 tff(f63407,plain,(
% 58.08/9.38 ( ! [X3 : $tType,X2 : set(product_prod(X3,X3)),X0 : X3,X1 : X3] : (sP2452(X3,X2,X1,X0) | sK5488(X3,X0,X1,X2) = X1 | ~sP2453(X3,X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45240])).
% 58.08/9.38 tff(f45240,plain,(
% 58.08/9.38 ! [X0 : X3,X1 : X3,X2 : set(product_prod(X3,X3)),X3 : $tType] : ((sP2453(X3,X0,X1,X2) | (~sP2452(X3,X2,X1,X0) & ! [X4 : X3,X5 : X3] : (~member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X4),X5),X2) | X1 != X5 | X0 != X4))) & (sP2452(X3,X2,X1,X0) | (member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),sK5487(X3,X0,X1,X2)),sK5488(X3,X0,X1,X2)),X2) & sK5488(X3,X0,X1,X2) = X1 & sK5487(X3,X0,X1,X2) = X0) | ~sP2453(X3,X0,X1,X2)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5487,sK5488])],[f45238,f45239])).
% 58.08/9.38 tff(f45239,plain,(
% 58.08/9.38 ! [X3 : $tType,X0 : X3,X1 : X3,X2 : set(product_prod(X3,X3))] : (? [X6 : X3,X7 : X3] : (member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X6),X7),X2) & X1 = X7 & X0 = X6) => (member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),sK5487(X3,X0,X1,X2)),sK5488(X3,X0,X1,X2)),X2) & sK5488(X3,X0,X1,X2) = X1 & sK5487(X3,X0,X1,X2) = X0))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45238,plain,(
% 58.08/9.38 ! [X0 : X3,X1 : X3,X2 : set(product_prod(X3,X3)),X3 : $tType] : ((sP2453(X3,X0,X1,X2) | (~sP2452(X3,X2,X1,X0) & ! [X4 : X3,X5 : X3] : (~member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X4),X5),X2) | X1 != X5 | X0 != X4))) & (sP2452(X3,X2,X1,X0) | ? [X6 : X3,X7 : X3] : (member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X6),X7),X2) & X1 = X7 & X0 = X6) | ~sP2453(X3,X0,X1,X2)))),
% 58.08/9.38 inference(rectify,[],[f45237])).
% 58.08/9.38 tff(f45237,plain,(
% 58.08/9.38 ! [X1 : X0,X2 : X0,X3 : set(product_prod(X0,X0)),X0 : $tType] : ((sP2453(X0,X1,X2,X3) | (~sP2452(X0,X3,X2,X1) & ! [X7 : X0,X8 : X0] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X3) | X2 != X8 | X1 != X7))) & (sP2452(X0,X3,X2,X1) | ? [X7 : X0,X8 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X3) & X2 = X8 & X1 = X7) | ~sP2453(X0,X1,X2,X3)))),
% 58.08/9.38 inference(flattening,[],[f45236])).
% 58.08/9.38 tff(f45236,plain,(
% 58.08/9.38 ! [X1 : X0,X2 : X0,X3 : set(product_prod(X0,X0)),X0 : $tType] : ((sP2453(X0,X1,X2,X3) | (~sP2452(X0,X3,X2,X1) & ! [X7 : X0,X8 : X0] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X3) | X2 != X8 | X1 != X7))) & ((sP2452(X0,X3,X2,X1) | ? [X7 : X0,X8 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X3) & X2 = X8 & X1 = X7)) | ~sP2453(X0,X1,X2,X3)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37840])).
% 58.08/9.38 tff(f37840,plain,(
% 58.08/9.38 ! [X1 : X0,X2 : X0,X3 : set(product_prod(X0,X0)),X0 : $tType] : (sP2453(X0,X1,X2,X3) <=> (sP2452(X0,X3,X2,X1) | ? [X7 : X0,X8 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X3) & X2 = X8 & X1 = X7)))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2453])])).
% 58.08/9.38 tff(f112389,plain,(
% 58.08/9.38 spl5880_5227),
% 58.08/9.38 inference(avatar_split_clause,[],[f63406,f112387])).
% 58.08/9.38 tff(f112387,plain,(
% 58.08/9.38 spl5880_5227 <=> ! [X3 : $tType,X0 : X3,X2 : set(product_prod(X3,X3)),X1 : X3] : (sP2452(X3,X2,X1,X0) | sK5487(X3,X0,X1,X2) = X0 | ~sP2453(X3,X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5227])])).
% 58.08/9.38 tff(f63406,plain,(
% 58.08/9.38 ( ! [X3 : $tType,X2 : set(product_prod(X3,X3)),X0 : X3,X1 : X3] : (sP2452(X3,X2,X1,X0) | sK5487(X3,X0,X1,X2) = X0 | ~sP2453(X3,X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45240])).
% 58.08/9.38 tff(f112385,plain,(
% 58.08/9.38 spl5880_5226),
% 58.08/9.38 inference(avatar_split_clause,[],[f63378,f112383])).
% 58.08/9.38 tff(f112383,plain,(
% 58.08/9.38 spl5880_5226 <=> ! [X0 : $tType,X3 : X0,X2 : nat,X1 : X0] : (X1 = X3 | ~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5226])])).
% 58.08/9.38 tff(f63378,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : X0] : (X1 = X3 | ~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45217])).
% 58.08/9.38 tff(f45217,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : nat,X3 : X0] : ((member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3))) | zero_zero(nat) = X2 | X1 != X3) & ((zero_zero(nat) != X2 & X1 = X3) | ~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3)))))),
% 58.08/9.38 inference(flattening,[],[f45216])).
% 58.08/9.38 tff(f45216,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : nat,X3 : X0] : ((member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3))) | (zero_zero(nat) = X2 | X1 != X3)) & ((zero_zero(nat) != X2 & X1 = X3) | ~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3)))))),
% 58.08/9.38 inference(nnf_transformation,[],[f26988])).
% 58.08/9.38 tff(f26988,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : nat,X3 : X0] : (member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3))) <=> (zero_zero(nat) != X2 & X1 = X3))),
% 58.08/9.38 inference(rectify,[],[f2258])).
% 58.08/9.38 tff(f2258,axiom,(
% 58.08/9.38 ! [X0 : $tType,X9 : X0,X8 : nat,X18 : X0] : (member(X0,X9,aa(list(X0),set(X0),set2(X0),replicate(X0,X8,X18))) <=> (zero_zero(nat) != X8 & X9 = X18))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2257_in__set__replicate)).
% 58.08/9.38 tff(f112381,plain,(
% 58.08/9.38 spl5880_5225),
% 58.08/9.38 inference(avatar_split_clause,[],[f63249,f112379])).
% 58.08/9.38 tff(f112379,plain,(
% 58.08/9.38 spl5880_5225 <=> ! [X0 : int,X3 : fun(int,$o),X2 : fun(int,$o),X1 : set(int)] : (($true = aa(int,$o,X2,sK5454(X2))) | ~sP2445(X2,X1,X0) | ~sP2446(X0,X1,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5225])])).
% 58.08/9.38 tff(f63249,plain,(
% 58.08/9.38 ( ! [X2 : fun(int,$o),X3 : fun(int,$o),X0 : int,X1 : set(int)] : (($true = aa(int,$o,X2,sK5454(X2))) | ~sP2445(X2,X1,X0) | ~sP2446(X0,X1,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45128])).
% 58.08/9.38 tff(f45128,plain,(
% 58.08/9.38 ! [X0 : int,X1 : set(int),X2 : fun(int,$o),X3 : fun(int,$o)] : (((($true = aa(int,$o,X2,sK5454(X2))) | (~sP2445(X2,X1,X0) & ! [X5 : int] : (($true != aa(int,$o,X3,X5)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2445(X2,X1,X0) | (($true = aa(int,$o,X3,sK5455(X0,X3))) & member(int,sK5455(X0,X3),set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X7 : int] : ($true != aa(int,$o,X2,X7)))) | ~sP2446(X0,X1,X2,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5454,sK5455])],[f45125,f45127,f45126])).
% 58.08/9.38 tff(f45126,plain,(
% 58.08/9.38 ! [X2 : fun(int,$o)] : (? [X4 : int] : ($true = aa(int,$o,X2,X4)) => ($true = aa(int,$o,X2,sK5454(X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45127,plain,(
% 58.08/9.38 ! [X0 : int,X3 : fun(int,$o)] : (? [X6 : int] : (($true = aa(int,$o,X3,X6)) & member(int,X6,set_or1337092689740270186AtMost(int,one_one(int),X0))) => (($true = aa(int,$o,X3,sK5455(X0,X3))) & member(int,sK5455(X0,X3),set_or1337092689740270186AtMost(int,one_one(int),X0))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45125,plain,(
% 58.08/9.38 ! [X0 : int,X1 : set(int),X2 : fun(int,$o),X3 : fun(int,$o)] : (((? [X4 : int] : ($true = aa(int,$o,X2,X4)) | (~sP2445(X2,X1,X0) & ! [X5 : int] : (($true != aa(int,$o,X3,X5)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2445(X2,X1,X0) | ? [X6 : int] : (($true = aa(int,$o,X3,X6)) & member(int,X6,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X7 : int] : ($true != aa(int,$o,X2,X7)))) | ~sP2446(X0,X1,X2,X3))),
% 58.08/9.38 inference(rectify,[],[f45124])).
% 58.08/9.38 tff(f45124,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : (((? [X11 : int] : ($true = aa(int,$o,X1,X11)) | (~sP2445(X1,X3,X0) & ! [X14 : int] : (($true != aa(int,$o,X2,X14)) | ~member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2445(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X11 : int] : ($true != aa(int,$o,X1,X11)))) | ~sP2446(X0,X3,X1,X2))),
% 58.08/9.38 inference(flattening,[],[f45123])).
% 58.08/9.38 tff(f45123,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : (((? [X11 : int] : ($true = aa(int,$o,X1,X11)) | (~sP2445(X1,X3,X0) & ! [X14 : int] : (($true != aa(int,$o,X2,X14)) | ~member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & ((sP2445(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X11 : int] : ($true != aa(int,$o,X1,X11)))) | ~sP2446(X0,X3,X1,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37828])).
% 58.08/9.38 tff(f37828,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : ((? [X11 : int] : ($true = aa(int,$o,X1,X11)) <=> (sP2445(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP2446(X0,X3,X1,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2446])])).
% 58.08/9.38 tff(f112377,plain,(
% 58.08/9.38 spl5880_5224),
% 58.08/9.38 inference(avatar_split_clause,[],[f63236,f112375])).
% 58.08/9.38 tff(f112375,plain,(
% 58.08/9.38 spl5880_5224 <=> ! [X0 : int,X3 : fun(int,$o),X2 : fun(int,$o),X1 : set(int)] : (($true = aa(int,$o,X2,sK5446(X2))) | ~sP2442(X2,X1,X0) | ~sP2443(X0,X1,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5224])])).
% 58.08/9.38 tff(f63236,plain,(
% 58.08/9.38 ( ! [X2 : fun(int,$o),X3 : fun(int,$o),X0 : int,X1 : set(int)] : (($true = aa(int,$o,X2,sK5446(X2))) | ~sP2442(X2,X1,X0) | ~sP2443(X0,X1,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45109])).
% 58.08/9.38 tff(f45109,plain,(
% 58.08/9.38 ! [X0 : int,X1 : set(int),X2 : fun(int,$o),X3 : fun(int,$o)] : (((($true = aa(int,$o,X2,sK5446(X2))) | (~sP2442(X2,X1,X0) & ! [X5 : int] : (($true != aa(int,$o,X3,X5)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2442(X2,X1,X0) | (($true = aa(int,$o,X3,sK5447(X0,X3))) & member(int,sK5447(X0,X3),set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X7 : int] : ($true != aa(int,$o,X2,X7)))) | ~sP2443(X0,X1,X2,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5446,sK5447])],[f45106,f45108,f45107])).
% 58.08/9.38 tff(f45107,plain,(
% 58.08/9.38 ! [X2 : fun(int,$o)] : (? [X4 : int] : ($true = aa(int,$o,X2,X4)) => ($true = aa(int,$o,X2,sK5446(X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45108,plain,(
% 58.08/9.38 ! [X0 : int,X3 : fun(int,$o)] : (? [X6 : int] : (($true = aa(int,$o,X3,X6)) & member(int,X6,set_or1337092689740270186AtMost(int,one_one(int),X0))) => (($true = aa(int,$o,X3,sK5447(X0,X3))) & member(int,sK5447(X0,X3),set_or1337092689740270186AtMost(int,one_one(int),X0))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45106,plain,(
% 58.08/9.38 ! [X0 : int,X1 : set(int),X2 : fun(int,$o),X3 : fun(int,$o)] : (((? [X4 : int] : ($true = aa(int,$o,X2,X4)) | (~sP2442(X2,X1,X0) & ! [X5 : int] : (($true != aa(int,$o,X3,X5)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2442(X2,X1,X0) | ? [X6 : int] : (($true = aa(int,$o,X3,X6)) & member(int,X6,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X7 : int] : ($true != aa(int,$o,X2,X7)))) | ~sP2443(X0,X1,X2,X3))),
% 58.08/9.38 inference(rectify,[],[f45105])).
% 58.08/9.38 tff(f45105,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : (((? [X11 : int] : ($true = aa(int,$o,X1,X11)) | (~sP2442(X1,X3,X0) & ! [X14 : int] : (($true != aa(int,$o,X2,X14)) | ~member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (sP2442(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ! [X11 : int] : ($true != aa(int,$o,X1,X11)))) | ~sP2443(X0,X3,X1,X2))),
% 58.08/9.38 inference(flattening,[],[f45104])).
% 58.08/9.38 tff(f45104,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : (((? [X11 : int] : ($true = aa(int,$o,X1,X11)) | (~sP2442(X1,X3,X0) & ! [X14 : int] : (($true != aa(int,$o,X2,X14)) | ~member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) & ((sP2442(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X11 : int] : ($true != aa(int,$o,X1,X11)))) | ~sP2443(X0,X3,X1,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37824])).
% 58.08/9.38 tff(f37824,plain,(
% 58.08/9.38 ! [X0 : int,X3 : set(int),X1 : fun(int,$o),X2 : fun(int,$o)] : ((? [X11 : int] : ($true = aa(int,$o,X1,X11)) <=> (sP2442(X1,X3,X0) | ? [X14 : int] : (($true = aa(int,$o,X2,X14)) & member(int,X14,set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP2443(X0,X3,X1,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2443])])).
% 58.08/9.38 tff(f112372,plain,(
% 58.08/9.38 spl5880_5223),
% 58.08/9.38 inference(avatar_split_clause,[],[f63203,f112370])).
% 58.08/9.38 tff(f112370,plain,(
% 58.08/9.38 spl5880_5223 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5437(X0,X1,X2),top_top(set(real))),X0) | ~sP2438(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5223])])).
% 58.08/9.38 tff(f63203,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5437(X0,X1,X2),top_top(set(real))),X0) | ~sP2438(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45082])).
% 58.08/9.38 tff(f45082,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5437(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5437(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5437(X0,X1,X2)))) | ~sP2438(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5437])],[f45080,f45081])).
% 58.08/9.38 tff(f45081,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) => (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5437(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5437(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5437(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45080,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) | ~sP2438(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f45079])).
% 58.08/9.38 tff(f45079,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X4 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X4,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X4))) | ~sP2438(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37817])).
% 58.08/9.38 tff(f37817,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X4 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X4,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X4))) | ~sP2438(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2438])])).
% 58.08/9.38 tff(f112368,plain,(
% 58.08/9.38 spl5880_5222),
% 58.08/9.38 inference(avatar_split_clause,[],[f63200,f112366])).
% 58.08/9.38 tff(f112366,plain,(
% 58.08/9.38 spl5880_5222 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~differentiable(real,real,X0,topolo174197925503356063within(real,sK5436(X0,X1,X2),top_top(set(real)))) | ~sP2439(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5222])])).
% 58.08/9.38 tff(f63200,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~differentiable(real,real,X0,topolo174197925503356063within(real,sK5436(X0,X1,X2),top_top(set(real)))) | ~sP2439(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45078])).
% 58.08/9.38 tff(f45078,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~differentiable(real,real,X0,topolo174197925503356063within(real,sK5436(X0,X1,X2),top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK5436(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),sK5436(X0,X1,X2)))) | ~sP2439(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5436])],[f45076,f45077])).
% 58.08/9.38 tff(f45077,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~differentiable(real,real,X0,topolo174197925503356063within(real,X3,top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X3))) => (~differentiable(real,real,X0,topolo174197925503356063within(real,sK5436(X0,X1,X2),top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK5436(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),sK5436(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45076,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~differentiable(real,real,X0,topolo174197925503356063within(real,X3,top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X3))) | ~sP2439(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f45075])).
% 58.08/9.38 tff(f45075,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X5 : real] : (~differentiable(real,real,X2,topolo174197925503356063within(real,X5,top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X5))) | ~sP2439(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37818])).
% 58.08/9.38 tff(f37818,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X5 : real] : (~differentiable(real,real,X2,topolo174197925503356063within(real,X5,top_top(set(real)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X5))) | ~sP2439(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2439])])).
% 58.08/9.38 tff(f112364,plain,(
% 58.08/9.38 spl5880_5221),
% 58.08/9.38 inference(avatar_split_clause,[],[f63197,f112362])).
% 58.08/9.38 tff(f112362,plain,(
% 58.08/9.38 spl5880_5221 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5435(X0,X1,X2),top_top(set(real))),X0) | ~sP2440(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5221])])).
% 58.08/9.38 tff(f63197,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5435(X0,X1,X2),top_top(set(real))),X0) | ~sP2440(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45074])).
% 58.08/9.38 tff(f45074,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5435(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5435(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5435(X0,X1,X2)))) | ~sP2440(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5435])],[f45072,f45073])).
% 58.08/9.38 tff(f45073,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) => (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5435(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5435(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5435(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f45072,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) | ~sP2440(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f45071])).
% 58.08/9.38 tff(f45071,plain,(
% 58.08/9.38 ! [X3 : fun(real,real),X1 : real,X0 : real] : (? [X6 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X6,top_top(set(real))),X3) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X6))) | ~sP2440(X3,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37819])).
% 58.08/9.38 tff(f37819,plain,(
% 58.08/9.38 ! [X3 : fun(real,real),X1 : real,X0 : real] : (? [X6 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X6,top_top(set(real))),X3) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X6))) | ~sP2440(X3,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2440])])).
% 58.08/9.38 tff(f112360,plain,(
% 58.08/9.38 spl5880_5220),
% 58.08/9.38 inference(avatar_split_clause,[],[f63184,f112358])).
% 58.08/9.38 tff(f112358,plain,(
% 58.08/9.38 spl5880_5220 <=> ! [X0 : $tType,X3 : fun(X0,nat),X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK5431(X0,X1,X3))) | ($true != aa(X0,$o,X1,X2)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5220])])).
% 58.08/9.38 tff(f63184,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,nat),X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK5431(X0,X1,X3))) | ($true != aa(X0,$o,X1,X2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f45061])).
% 58.08/9.38 tff(f45061,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(X0,nat)] : ((! [X5 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,sK5431(X0,X1,X3))),aa(X0,nat,X3,X5))) | ($true != aa(X0,$o,X1,X5))) & ($true = aa(X0,$o,X1,sK5431(X0,X1,X3)))) | ($true != aa(X0,$o,X1,X2)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5431])],[f36232,f45060])).
% 58.08/9.38 tff(f45060,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X3 : fun(X0,nat)] : (? [X4 : X0] : (! [X5 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5))) | ($true != aa(X0,$o,X1,X5))) & ($true = aa(X0,$o,X1,X4))) => (! [X5 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,sK5431(X0,X1,X3))),aa(X0,nat,X3,X5))) | ($true != aa(X0,$o,X1,X5))) & ($true = aa(X0,$o,X1,sK5431(X0,X1,X3)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f36232,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(X0,nat)] : (? [X4 : X0] : (! [X5 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5))) | ($true != aa(X0,$o,X1,X5))) & ($true = aa(X0,$o,X1,X4))) | ($true != aa(X0,$o,X1,X2)))),
% 58.08/9.38 inference(ennf_transformation,[],[f19190])).
% 58.08/9.38 tff(f19190,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(X0,nat)] : (($true = aa(X0,$o,X1,X2)) => ? [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5)))) & ($true = aa(X0,$o,X1,X4))))),
% 58.08/9.38 inference(fool_elimination,[],[f19189])).
% 58.08/9.38 tff(f19189,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0,X3 : fun(X0,nat)] : (aa(X0,$o,X1,X2) => ? [X4 : X0] : (! [X5 : X0] : (aa(X0,$o,X1,X5) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5))) & aa(X0,$o,X1,X4)))),
% 58.08/9.38 inference(rectify,[],[f1846])).
% 58.08/9.38 tff(f1846,axiom,(
% 58.08/9.38 ! [X0 : $tType,X26 : fun(X0,$o),X24 : X0,X15 : fun(X0,nat)] : (aa(X0,$o,X26,X24) => ? [X29 : X0] : (! [X49 : X0] : (aa(X0,$o,X26,X49) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X15,X29)),aa(X0,nat,X15,X49))) & aa(X0,$o,X26,X29)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1845_ex__has__least__nat)).
% 58.08/9.38 tff(f112356,plain,(
% 58.08/9.38 spl5880_5219),
% 58.08/9.38 inference(avatar_split_clause,[],[f63107,f112354])).
% 58.08/9.38 tff(f112354,plain,(
% 58.08/9.38 spl5880_5219 <=> ! [X0 : $tType,X3 : X0,X2 : fun(X0,nat),X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,X1,sK5396(X0,X1,X2))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5219])])).
% 58.08/9.38 tff(f63107,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : fun(X0,nat),X3 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,X1,sK5396(X0,X1,X2)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44977])).
% 58.08/9.38 tff(f44977,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat),X3 : X0] : (($true = aa(X0,$o,X1,X3)) | (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,sK5396(X0,X1,X2))))) & ($true != aa(X0,$o,X1,sK5396(X0,X1,X2)))))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5396])],[f36202,f44976])).
% 58.08/9.38 tff(f44976,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat)] : (? [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4)))) & ($true != aa(X0,$o,X1,X4))) => (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,sK5396(X0,X1,X2))))) & ($true != aa(X0,$o,X1,sK5396(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f36202,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat),X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ? [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4)))) & ($true != aa(X0,$o,X1,X4))))),
% 58.08/9.38 inference(ennf_transformation,[],[f26973])).
% 58.08/9.38 tff(f26973,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat),X3 : X0] : (! [X4 : X0] : (($true != aa(X0,$o,X1,X4)) => ? [X5 : X0] : (($true != aa(X0,$o,X1,X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4))))) => ($true = aa(X0,$o,X1,X3)))),
% 58.08/9.38 inference(flattening,[],[f19156])).
% 58.08/9.38 tff(f19156,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat),X3 : X0] : (! [X4 : X0] : (~($true = aa(X0,$o,X1,X4)) => ? [X5 : X0] : (~($true = aa(X0,$o,X1,X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4))))) => ($true = aa(X0,$o,X1,X3)))),
% 58.08/9.38 inference(fool_elimination,[],[f19155])).
% 58.08/9.38 tff(f19155,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : fun(X0,nat),X3 : X0] : (! [X4 : X0] : (~aa(X0,$o,X1,X4) => ? [X5 : X0] : (~aa(X0,$o,X1,X5) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4)))) => aa(X0,$o,X1,X3))),
% 58.08/9.38 inference(rectify,[],[f139])).
% 58.08/9.38 tff(f139,axiom,(
% 58.08/9.38 ! [X0 : $tType,X26 : fun(X0,$o),X53 : fun(X0,nat),X9 : X0] : (! [X29 : X0] : (~aa(X0,$o,X26,X29) => ? [X49 : X0] : (~aa(X0,$o,X26,X49) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X53,X49)),aa(X0,nat,X53,X29)))) => aa(X0,$o,X26,X9))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_infinite__descent__measure)).
% 58.08/9.38 tff(f112352,plain,(
% 58.08/9.38 spl5880_5218),
% 58.08/9.38 inference(avatar_split_clause,[],[f63032,f112350])).
% 58.08/9.38 tff(f112350,plain,(
% 58.08/9.38 spl5880_5218 <=> ! [X1 : $tType,X4 : X1,X0 : set(product_prod(X1,X1)),X3 : set(X1),X2 : set(X1)] : (member(X1,sK5368(X1,X0,X2,X4),X2) | ~member(X1,X4,X3) | ~sP2413(X1,X0,X2,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5218])])).
% 58.08/9.38 tff(f63032,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : set(X1),X3 : set(X1),X0 : set(product_prod(X1,X1)),X4 : X1] : (member(X1,sK5368(X1,X0,X2,X4),X2) | ~member(X1,X4,X3) | ~sP2413(X1,X0,X2,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44903])).
% 58.08/9.38 tff(f44903,plain,(
% 58.08/9.38 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : set(X1),X3 : set(X1)] : (! [X4 : X1] : ((member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),sK5368(X1,X0,X2,X4)),X0) & member(X1,sK5368(X1,X0,X2,X4),X2)) | ~member(X1,X4,X3)) | ~sP2413(X1,X0,X2,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5368])],[f44901,f44902])).
% 58.08/9.38 tff(f44902,plain,(
% 58.08/9.38 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : set(X1),X4 : X1] : (? [X5 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X0) & member(X1,X5,X2)) => (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),sK5368(X1,X0,X2,X4)),X0) & member(X1,sK5368(X1,X0,X2,X4),X2)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44901,plain,(
% 58.08/9.38 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : set(X1),X3 : set(X1)] : (! [X4 : X1] : (? [X5 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X0) & member(X1,X5,X2)) | ~member(X1,X4,X3)) | ~sP2413(X1,X0,X2,X3))),
% 58.08/9.38 inference(rectify,[],[f44900])).
% 58.08/9.38 tff(f44900,plain,(
% 58.08/9.38 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : set(X0),X1 : set(X0)] : (! [X4 : X0] : (? [X5 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),X3) & member(X0,X5,X2)) | ~member(X0,X4,X1)) | ~sP2413(X0,X3,X2,X1))),
% 58.08/9.38 inference(nnf_transformation,[],[f37779])).
% 58.08/9.38 tff(f37779,plain,(
% 58.08/9.38 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : set(X0),X1 : set(X0)] : (! [X4 : X0] : (? [X5 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),X3) & member(X0,X5,X2)) | ~member(X0,X4,X1)) | ~sP2413(X0,X3,X2,X1))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2413])])).
% 58.08/9.38 tff(f112348,plain,(
% 58.08/9.38 spl5880_5217),
% 58.08/9.38 inference(avatar_split_clause,[],[f62626,f112346])).
% 58.08/9.38 tff(f112346,plain,(
% 58.08/9.38 spl5880_5217 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : set(X0)] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,aTP_Lamp_abl(X0,option(X1)),X2),X3)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5217])])).
% 58.08/9.38 tff(f62626,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X0 : $tType,X2 : set(X0),X3 : X0] : (none(X1) = aa(X0,option(X1),restrict_map(X0,X1,aTP_Lamp_abl(X0,option(X1)),X2),X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f26722])).
% 58.08/9.38 tff(f26722,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType,X2 : set(X0),X3 : X0] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,aTP_Lamp_abl(X0,option(X1)),X2),X3)),
% 58.08/9.38 inference(rectify,[],[f7350])).
% 58.08/9.38 tff(f7350,axiom,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType,X144 : set(X0),X50 : X0] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,aTP_Lamp_abl(X0,option(X1)),X144),X50)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7349_restrict__map__empty)).
% 58.08/9.38 tff(f112344,plain,(
% 58.08/9.38 spl5880_5216),
% 58.08/9.38 inference(avatar_split_clause,[],[f62381,f112342])).
% 58.08/9.38 tff(f112342,plain,(
% 58.08/9.38 spl5880_5216 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (($true = aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5216])])).
% 58.08/9.38 tff(f62381,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (($true = aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44648])).
% 58.08/9.38 tff(f44648,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : ((($true = aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1)) & (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2))))),
% 58.08/9.38 inference(nnf_transformation,[],[f18725])).
% 58.08/9.38 tff(f18725,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (($true = aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2)) <=> member(X0,X2,X1))),
% 58.08/9.38 inference(fool_elimination,[],[f18724])).
% 58.08/9.38 tff(f18724,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2) <=> member(X0,X2,X1))),
% 58.08/9.38 inference(rectify,[],[f8398])).
% 58.08/9.38 tff(f8398,axiom,(
% 58.08/9.38 ! [X0 : $tType,X105 : set(X0),X448 : X0] : (aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X105),X448) <=> member(X0,X448,X105))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8397_ATP_Olambda__217)).
% 58.08/9.38 tff(f112340,plain,(
% 58.08/9.38 spl5880_5215),
% 58.08/9.38 inference(avatar_split_clause,[],[f62380,f112338])).
% 58.08/9.38 tff(f112338,plain,(
% 58.08/9.38 spl5880_5215 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5215])])).
% 58.08/9.38 tff(f62380,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_a(set(X0),fun(X0,$o),X1),X2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44648])).
% 58.08/9.38 tff(f112336,plain,(
% 58.08/9.38 spl5880_5214),
% 58.08/9.38 inference(avatar_split_clause,[],[f62375,f112334])).
% 58.08/9.38 tff(f112334,plain,(
% 58.08/9.38 spl5880_5214 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (($true = aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5214])])).
% 58.08/9.38 tff(f62375,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (($true = aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44645])).
% 58.08/9.38 tff(f44645,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : ((($true = aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2)) | ~member(X0,X2,X1)) & (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2))))),
% 58.08/9.38 inference(nnf_transformation,[],[f18719])).
% 58.08/9.38 tff(f18719,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (($true = aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2)) <=> member(X0,X2,X1))),
% 58.08/9.38 inference(fool_elimination,[],[f18718])).
% 58.08/9.38 tff(f18718,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2) <=> member(X0,X2,X1))),
% 58.08/9.38 inference(rectify,[],[f8396])).
% 58.08/9.38 tff(f8396,axiom,(
% 58.08/9.38 ! [X1 : $tType,X105 : set(X1),X448 : X1] : (aa(X1,$o,aTP_Lamp_yb(set(X1),fun(X1,$o),X105),X448) <=> member(X1,X448,X105))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8395_ATP_Olambda__215)).
% 58.08/9.38 tff(f112331,plain,(
% 58.08/9.38 spl5880_5213),
% 58.08/9.38 inference(avatar_split_clause,[],[f62374,f112329])).
% 58.08/9.38 tff(f112329,plain,(
% 58.08/9.38 spl5880_5213 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5213])])).
% 58.08/9.38 tff(f62374,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,X2,X1) | ($true != aa(X0,$o,aTP_Lamp_yb(set(X0),fun(X0,$o),X1),X2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44645])).
% 58.08/9.38 tff(f112327,plain,(
% 58.08/9.38 spl5880_5212),
% 58.08/9.38 inference(avatar_split_clause,[],[f62273,f112325])).
% 58.08/9.38 tff(f112325,plain,(
% 58.08/9.38 spl5880_5212 <=> ! [X0 : $tType,X2 : fun(nat,fun(X0,$o)),X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),sK5266(X0,X1,X2)) = X1 | ~sP2390(X0,X2,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5212])])).
% 58.08/9.38 tff(f62273,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,$o)),X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),sK5266(X0,X1,X2)) = X1 | ~sP2390(X0,X2,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44563])).
% 58.08/9.38 tff(f44563,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : ((sP2390(X0,X2,X1) | ! [X3 : list(X0)] : ((($true != aa(X0,$o,aa(nat,fun(X0,$o),X2,sK5265(X0,X1,X2,X3)),aa(nat,X0,nth(X0,X3),sK5265(X0,X1,X2,X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5265(X0,X1,X2,X3)),X1))) | aa(list(X0),nat,size_size(list(X0)),X3) != X1)) & ((! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,sK5266(X0,X1,X2)),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),sK5266(X0,X1,X2)) = X1) | ~sP2390(X0,X2,X1)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5265,sK5266])],[f44560,f44562,f44561])).
% 58.08/9.38 tff(f44561,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o)),X3 : list(X0)] : (? [X4 : nat] : (($true != aa(X0,$o,aa(nat,fun(X0,$o),X2,X4),aa(nat,X0,nth(X0,X3),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1))) => (($true != aa(X0,$o,aa(nat,fun(X0,$o),X2,sK5265(X0,X1,X2,X3)),aa(nat,X0,nth(X0,X3),sK5265(X0,X1,X2,X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5265(X0,X1,X2,X3)),X1))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44562,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : (? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) => (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,sK5266(X0,X1,X2)),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),sK5266(X0,X1,X2)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44560,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : ((sP2390(X0,X2,X1) | ! [X3 : list(X0)] : (? [X4 : nat] : (($true != aa(X0,$o,aa(nat,fun(X0,$o),X2,X4),aa(nat,X0,nth(X0,X3),X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1))) | aa(list(X0),nat,size_size(list(X0)),X3) != X1)) & (? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) | ~sP2390(X0,X2,X1)))),
% 58.08/9.38 inference(rectify,[],[f44559])).
% 58.08/9.38 tff(f44559,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : ((sP2390(X0,X2,X1) | ! [X5 : list(X0)] : (? [X6 : nat] : (($true != aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) | aa(list(X0),nat,size_size(list(X0)),X5) != X1)) & (? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) | ~sP2390(X0,X2,X1)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37740])).
% 58.08/9.38 tff(f37740,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : (sP2390(X0,X2,X1) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 58.08/9.38 inference(definition_folding,[],[f35906,f37739])).
% 58.08/9.38 tff(f37739,plain,(
% 58.08/9.38 ! [X2 : fun(nat,fun(X0,$o)),X0 : $tType,X1 : nat] : (sP2390(X0,X2,X1) <=> ! [X3 : nat] : (? [X4 : X0] : ($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X3),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1))))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2390])])).
% 58.08/9.38 tff(f35906,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : (! [X3 : nat] : (? [X4 : X0] : ($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X3),X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1))) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 58.08/9.38 inference(ennf_transformation,[],[f18697])).
% 58.08/9.38 tff(f18697,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) => ? [X4 : X0] : ($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X3),X4))) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1)) => ($true = aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6)))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 58.08/9.38 inference(fool_elimination,[],[f18696])).
% 58.08/9.38 tff(f18696,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,$o))] : (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1) => ? [X4 : X0] : aa(X0,$o,aa(nat,fun(X0,$o),X2,X3),X4)) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X1) => aa(X0,$o,aa(nat,fun(X0,$o),X2,X6),aa(nat,X0,nth(X0,X5),X6))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 58.08/9.38 inference(rectify,[],[f751])).
% 58.08/9.38 tff(f751,axiom,(
% 58.08/9.38 ! [X0 : $tType,X24 : nat,X26 : fun(nat,fun(X0,$o))] : (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X24) => ? [X23 : X0] : aa(X0,$o,aa(nat,fun(X0,$o),X26,X45),X23)) <=> ? [X129 : list(X0)] : (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X24) => aa(X0,$o,aa(nat,fun(X0,$o),X26,X45),aa(nat,X0,nth(X0,X129),X45))) & aa(list(X0),nat,size_size(list(X0)),X129) = X24))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_750_Skolem__list__nth)).
% 58.08/9.38 tff(f112323,plain,(
% 58.08/9.38 spl5880_5211),
% 58.08/9.38 inference(avatar_split_clause,[],[f62176,f112321])).
% 58.08/9.38 tff(f112321,plain,(
% 58.08/9.38 spl5880_5211 <=> ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) | ~sP2388(X0,X2,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5211])])).
% 58.08/9.38 tff(f62176,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) | ~sP2388(X0,X2,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44481])).
% 58.08/9.38 tff(f44481,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : nat] : ((aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) | ~sP2388(X0,X2,X1)) & (sP2388(X0,X2,X1) | aa(nat,nat,suc,X2) != aa(set(X0),nat,finite_card(X0),X1)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37736])).
% 58.08/9.38 tff(f37736,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) <=> sP2388(X0,X2,X1))),
% 58.08/9.38 inference(definition_folding,[],[f35898,f37735])).
% 58.08/9.38 tff(f37735,plain,(
% 58.08/9.38 ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (sP2388(X0,X2,X1) <=> ? [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) = X4 | zero_zero(nat) != X2) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~member(X0,X3,X4) & aa(set(X0),set(X0),insert(X0,X3),X4) = X1))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2388])])).
% 58.08/9.38 tff(f35898,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) <=> ? [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) = X4 | zero_zero(nat) != X2) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~member(X0,X3,X4) & aa(set(X0),set(X0),insert(X0,X3),X4) = X1))),
% 58.08/9.38 inference(ennf_transformation,[],[f26667])).
% 58.08/9.38 tff(f26667,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (aa(nat,nat,suc,X2) = aa(set(X0),nat,finite_card(X0),X1) <=> ? [X3 : X0,X4 : set(X0)] : ((zero_zero(nat) = X2 => bot_bot(set(X0)) = X4) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~member(X0,X3,X4) & aa(set(X0),set(X0),insert(X0,X3),X4) = X1))),
% 58.08/9.38 inference(rectify,[],[f5382])).
% 58.08/9.38 tff(f5382,axiom,(
% 58.08/9.38 ! [X0 : $tType,X27 : set(X0),X24 : nat] : (aa(nat,nat,suc,X24) = aa(set(X0),nat,finite_card(X0),X27) <=> ? [X138 : X0,X274 : set(X0)] : ((zero_zero(nat) = X24 => bot_bot(set(X0)) = X274) & aa(set(X0),nat,finite_card(X0),X274) = X24 & ~member(X0,X138,X274) & aa(set(X0),set(X0),insert(X0,X138),X274) = X27))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5381_card__Suc__eq)).
% 58.08/9.38 tff(f112319,plain,(
% 58.08/9.38 spl5880_5210),
% 58.08/9.38 inference(avatar_split_clause,[],[f62175,f112317])).
% 58.08/9.38 tff(f112317,plain,(
% 58.08/9.38 spl5880_5210 <=> ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (sP2388(X0,X2,X1) | aa(nat,nat,suc,X2) != aa(set(X0),nat,finite_card(X0),X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5210])])).
% 58.08/9.38 tff(f62175,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (sP2388(X0,X2,X1) | aa(nat,nat,suc,X2) != aa(set(X0),nat,finite_card(X0),X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44481])).
% 58.08/9.38 tff(f112315,plain,(
% 58.08/9.38 spl5880_5209),
% 58.08/9.38 inference(avatar_split_clause,[],[f62116,f112313])).
% 58.08/9.38 tff(f112313,plain,(
% 58.08/9.38 spl5880_5209 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,$o)] : (takeWhile(X0,X1,X2) = X2 | ($true != aa(X0,$o,X1,sK5231(X0,X1,X2))))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5209])])).
% 58.08/9.38 tff(f62116,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,$o)] : (takeWhile(X0,X1,X2) = X2 | ($true != aa(X0,$o,X1,sK5231(X0,X1,X2)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44421])).
% 58.08/9.38 tff(f44421,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | (($true != aa(X0,$o,X1,sK5231(X0,X1,X2))) & member(X0,sK5231(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X2)))) & (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | takeWhile(X0,X1,X2) != X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5231])],[f44419,f44420])).
% 58.08/9.38 tff(f44420,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : (? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))) => (($true != aa(X0,$o,X1,sK5231(X0,X1,X2))) & member(X0,sK5231(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44419,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2)))) & (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | takeWhile(X0,X1,X2) != X2))),
% 58.08/9.38 inference(rectify,[],[f44418])).
% 58.08/9.38 tff(f44418,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2)))) & (! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))) | takeWhile(X0,X1,X2) != X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f35894])).
% 58.08/9.38 tff(f35894,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : (takeWhile(X0,X1,X2) = X2 <=> ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))))),
% 58.08/9.38 inference(ennf_transformation,[],[f18651])).
% 58.08/9.38 tff(f18651,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : (takeWhile(X0,X1,X2) = X2 <=> ! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X2)) => ($true = aa(X0,$o,X1,X3))))),
% 58.08/9.38 inference(fool_elimination,[],[f18650])).
% 58.08/9.38 tff(f18650,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0)] : (takeWhile(X0,X1,X2) = X2 <=> ! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X2)) => aa(X0,$o,X1,X3)))),
% 58.08/9.38 inference(rectify,[],[f8143])).
% 58.08/9.38 tff(f8143,axiom,(
% 58.08/9.38 ! [X0 : $tType,X26 : fun(X0,$o),X64 : list(X0)] : (takeWhile(X0,X26,X64) = X64 <=> ! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X64)) => aa(X0,$o,X26,X65)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8142_takeWhile__eq__all__conv)).
% 58.08/9.38 tff(f112311,plain,(
% 58.08/9.38 spl5880_5208),
% 58.08/9.38 inference(avatar_split_clause,[],[f61720,f112309])).
% 58.08/9.38 tff(f112309,plain,(
% 58.08/9.38 spl5880_5208 <=> ! [X0 : fun(nat,fun(nat,$o))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5158(X0))) | ~sP2372(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5208])])).
% 58.08/9.38 tff(f61720,plain,(
% 58.08/9.38 ( ! [X0 : fun(nat,fun(nat,$o))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5158(X0))) | ~sP2372(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44243])).
% 58.08/9.38 tff(f112307,plain,(
% 58.08/9.38 spl5880_5207),
% 58.08/9.38 inference(avatar_split_clause,[],[f61719,f112305])).
% 58.08/9.38 tff(f112305,plain,(
% 58.08/9.38 spl5880_5207 <=> ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5157(X0)),sK5158(X0))) | ~sP2372(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5207])])).
% 58.08/9.38 tff(f61719,plain,(
% 58.08/9.38 ( ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5157(X0)),sK5158(X0))) | ~sP2372(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44243])).
% 58.08/9.38 tff(f112303,plain,(
% 58.08/9.38 spl5880_5206),
% 58.08/9.38 inference(avatar_split_clause,[],[f61718,f112301])).
% 58.08/9.38 tff(f112301,plain,(
% 58.08/9.38 spl5880_5206 <=> ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5157(X0))) | ~sP2372(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5206])])).
% 58.08/9.38 tff(f61718,plain,(
% 58.08/9.38 ( ! [X0 : fun(nat,fun(nat,$o))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),X0,sK5156(X0)),sK5157(X0))) | ~sP2372(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44243])).
% 58.08/9.38 tff(f112299,plain,(
% 58.08/9.38 spl5880_5205),
% 58.08/9.38 inference(avatar_split_clause,[],[f61701,f112297])).
% 58.08/9.38 tff(f112297,plain,(
% 58.08/9.38 spl5880_5205 <=> ! [X0 : fun(real,fun(real,$o))] : (($true != aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5149(X0))) | ~sP2370(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5205])])).
% 58.08/9.38 tff(f61701,plain,(
% 58.08/9.38 ( ! [X0 : fun(real,fun(real,$o))] : (($true != aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5149(X0))) | ~sP2370(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44224])).
% 58.08/9.38 tff(f112295,plain,(
% 58.08/9.38 spl5880_5204),
% 58.08/9.38 inference(avatar_split_clause,[],[f61698,f112293])).
% 58.08/9.38 tff(f112293,plain,(
% 58.08/9.38 spl5880_5204 <=> ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5148(X0)),sK5149(X0))) | ~sP2370(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5204])])).
% 58.08/9.38 tff(f61698,plain,(
% 58.08/9.38 ( ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5148(X0)),sK5149(X0))) | ~sP2370(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44224])).
% 58.08/9.38 tff(f112290,plain,(
% 58.08/9.38 spl5880_5203),
% 58.08/9.38 inference(avatar_split_clause,[],[f61697,f112288])).
% 58.08/9.38 tff(f112288,plain,(
% 58.08/9.38 spl5880_5203 <=> ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5148(X0))) | ~sP2370(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5203])])).
% 58.08/9.38 tff(f61697,plain,(
% 58.08/9.38 ( ! [X0 : fun(real,fun(real,$o))] : (($true = aa(real,$o,aa(real,fun(real,$o),X0,sK5147(X0)),sK5148(X0))) | ~sP2370(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44224])).
% 58.08/9.38 tff(f112286,plain,(
% 58.08/9.38 spl5880_5202),
% 58.08/9.38 inference(avatar_split_clause,[],[f61684,f112284])).
% 58.08/9.38 tff(f112284,plain,(
% 58.08/9.38 spl5880_5202 <=> ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5141(X0,X1,X2),top_top(set(real))),X0) | ~sP2368(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5202])])).
% 58.08/9.38 tff(f61684,plain,(
% 58.08/9.38 ( ! [X2 : real,X0 : fun(real,real),X1 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5141(X0,X1,X2),top_top(set(real))),X0) | ~sP2368(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44209])).
% 58.08/9.38 tff(f44209,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : ((~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5141(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5141(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5141(X0,X1,X2)))) | ~sP2368(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5141])],[f44207,f44208])).
% 58.08/9.38 tff(f44208,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) => (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,sK5141(X0,X1,X2),top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5141(X0,X1,X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),sK5141(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44207,plain,(
% 58.08/9.38 ! [X0 : fun(real,real),X1 : real,X2 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X3))) | ~sP2368(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f44206])).
% 58.08/9.38 tff(f44206,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X3))) | ~sP2368(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37702])).
% 58.08/9.38 tff(f37702,plain,(
% 58.08/9.38 ! [X2 : fun(real,real),X1 : real,X0 : real] : (? [X3 : real] : (~topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X3,top_top(set(real))),X2) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X3))) | ~sP2368(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2368])])).
% 58.08/9.38 tff(f112282,plain,(
% 58.08/9.38 spl5880_5201),
% 58.08/9.38 inference(avatar_split_clause,[],[f61491,f112280])).
% 58.08/9.38 tff(f112280,plain,(
% 58.08/9.38 spl5880_5201 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1517(sK5033(X0,X1,X2)),bG1518(sK5034(X0,X1,X2))) = X2 | ~sP2356(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5201])])).
% 58.08/9.38 tff(f61491,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1517(sK5033(X0,X1,X2)),bG1518(sK5034(X0,X1,X2))) = X2 | ~sP2356(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44022])).
% 58.08/9.38 tff(f44022,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1523(sK5033(X0,X1,X2)),bG1524(sK5034(X0,X1,X2)))),X0))) & (iG1522(X0,sK5034(X0,X1,X2),sK5033(X0,X1,X2)) = X1) & vEBT_Leaf(bG1517(sK5033(X0,X1,X2)),bG1518(sK5034(X0,X1,X2))) = X2) | ~sP2356(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5033,sK5034])],[f44020,f44021])).
% 58.08/9.38 tff(f44021,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1523(X3),bG1524(X4))),X0))) & (iG1522(X0,X4,X3) = X1) & vEBT_Leaf(bG1517(X3),bG1518(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1523(sK5033(X0,X1,X2)),bG1524(sK5034(X0,X1,X2)))),X0))) & (iG1522(X0,sK5034(X0,X1,X2),sK5033(X0,X1,X2)) = X1) & vEBT_Leaf(bG1517(sK5033(X0,X1,X2)),bG1518(sK5034(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44020,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1523(X3),bG1524(X4))),X0))) & (iG1522(X0,X4,X3) = X1) & vEBT_Leaf(bG1517(X3),bG1518(X4)) = X2) | ~sP2356(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f44019])).
% 58.08/9.38 tff(f44019,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1523(X3),bG1524(X4))),X1))) & (iG1522(X1,X4,X3) = X2) & vEBT_Leaf(bG1517(X3),bG1518(X4)) = X0) | ~sP2356(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37682])).
% 58.08/9.38 tff(f37682,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1523(X3),bG1524(X4))),X1))) & (iG1522(X1,X4,X3) = X2) & vEBT_Leaf(bG1517(X3),bG1518(X4)) = X0) | ~sP2356(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2356])])).
% 58.08/9.38 tff(f112278,plain,(
% 58.08/9.38 spl5880_5200),
% 58.08/9.38 inference(avatar_split_clause,[],[f61476,f112276])).
% 58.08/9.38 tff(f112276,plain,(
% 58.08/9.38 spl5880_5200 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true = X1) | ~sP2353(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5200])])).
% 58.08/9.38 tff(f61476,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true = X1) | ~sP2353(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44002])).
% 58.08/9.38 tff(f44002,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true != X1)) & (~iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true = X1)) & vEBT_Leaf(bG1507(sK5016(X0,X1,X2)),bG1508(sK5017(X0,X1,X2))) = X2) | ~sP2353(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5016,sK5017])],[f44000,f44001])).
% 58.08/9.38 tff(f44001,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1510(X0,X4,X3) | ($true != X1)) & (~iG1510(X0,X4,X3) | ($true = X1)) & vEBT_Leaf(bG1507(X3),bG1508(X4)) = X2) => ((iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true != X1)) & (~iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true = X1)) & vEBT_Leaf(bG1507(sK5016(X0,X1,X2)),bG1508(sK5017(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f44000,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1510(X0,X4,X3) | ($true != X1)) & (~iG1510(X0,X4,X3) | ($true = X1)) & vEBT_Leaf(bG1507(X3),bG1508(X4)) = X2) | ~sP2353(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43999])).
% 58.08/9.38 tff(f43999,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1510(X1,X4,X3) | ($true != X2)) & (~iG1510(X1,X4,X3) | ($true = X2)) & vEBT_Leaf(bG1507(X3),bG1508(X4)) = X0) | ~sP2353(X1,X2,X0))),
% 58.08/9.38 inference(flattening,[],[f43998])).
% 58.08/9.38 tff(f43998,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (((iG1510(X1,X4,X3) | ($true != X2)) & (~iG1510(X1,X4,X3) | ($true = X2))) & vEBT_Leaf(bG1507(X3),bG1508(X4)) = X0) | ~sP2353(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37678])).
% 58.08/9.38 tff(f37678,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((($true = X2) <~> ~iG1510(X1,X4,X3)) & vEBT_Leaf(bG1507(X3),bG1508(X4)) = X0) | ~sP2353(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2353])])).
% 58.08/9.38 tff(f112274,plain,(
% 58.08/9.38 spl5880_5199),
% 58.08/9.38 inference(avatar_split_clause,[],[f61475,f112272])).
% 58.08/9.38 tff(f112272,plain,(
% 58.08/9.38 spl5880_5199 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1507(sK5016(X0,X1,X2)),bG1508(sK5017(X0,X1,X2))) = X2 | ~sP2353(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5199])])).
% 58.08/9.38 tff(f61475,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1507(sK5016(X0,X1,X2)),bG1508(sK5017(X0,X1,X2))) = X2 | ~sP2353(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f44002])).
% 58.08/9.38 tff(f112270,plain,(
% 58.08/9.38 spl5880_5198),
% 58.08/9.38 inference(avatar_split_clause,[],[f61453,f112268])).
% 58.08/9.38 tff(f112268,plain,(
% 58.08/9.38 spl5880_5198 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1498(sK5006(X0,X1,X2)),bG1499(sK5007(X0,X1,X2))) = X2 | ~sP2347(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5198])])).
% 58.08/9.38 tff(f61453,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1498(sK5006(X0,X1,X2)),bG1499(sK5007(X0,X1,X2))) = X2 | ~sP2347(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43977])).
% 58.08/9.38 tff(f43977,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1500(sK5006(X0,X1,X2)),bG1501(sK5007(X0,X1,X2)))),X0))) & ($true != X1) & vEBT_Leaf(bG1498(sK5006(X0,X1,X2)),bG1499(sK5007(X0,X1,X2))) = X2) | ~sP2347(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5006,sK5007])],[f43975,f43976])).
% 58.08/9.38 tff(f43976,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1500(X3),bG1501(X4))),X0))) & ($true != X1) & vEBT_Leaf(bG1498(X3),bG1499(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1500(sK5006(X0,X1,X2)),bG1501(sK5007(X0,X1,X2)))),X0))) & ($true != X1) & vEBT_Leaf(bG1498(sK5006(X0,X1,X2)),bG1499(sK5007(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43975,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1500(X3),bG1501(X4))),X0))) & ($true != X1) & vEBT_Leaf(bG1498(X3),bG1499(X4)) = X2) | ~sP2347(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43974])).
% 58.08/9.38 tff(f43974,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1500(X3),bG1501(X4))),X1))) & ($true != X2) & vEBT_Leaf(bG1498(X3),bG1499(X4)) = X0) | ~sP2347(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37670])).
% 58.08/9.38 tff(f37670,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1500(X3),bG1501(X4))),X1))) & ($true != X2) & vEBT_Leaf(bG1498(X3),bG1499(X4)) = X0) | ~sP2347(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2347])])).
% 58.08/9.38 tff(f112266,plain,(
% 58.08/9.38 spl5880_5197),
% 58.08/9.38 inference(avatar_split_clause,[],[f61427,f112264])).
% 58.08/9.38 tff(f112264,plain,(
% 58.08/9.38 spl5880_5197 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true = X1) | ~sP2342(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5197])])).
% 58.08/9.38 tff(f61427,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true = X1) | ~sP2342(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43943])).
% 58.08/9.38 tff(f43943,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true != X1)) & (~iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true = X1)) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4978(X0,X1,X2)),sK4979(X0,X1,X2),sK4980(X0,X1,X2)) = X2) | ~sP2342(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4978,sK4979,sK4980])],[f43940,f43942,f43941])).
% 58.08/9.38 tff(f43941,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1497(X4,X3,X0) | ($true != X1)) & (~iG1497(X4,X3,X0) | ($true = X1)) & ? [X5 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) => ((iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true != X1)) & (~iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true = X1)) & ? [X5 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4978(X0,X1,X2)),sK4979(X0,X1,X2),X5) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43942,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X5 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4978(X0,X1,X2)),sK4979(X0,X1,X2),X5) = X2 => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4978(X0,X1,X2)),sK4979(X0,X1,X2),sK4980(X0,X1,X2)) = X2)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43940,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1497(X4,X3,X0) | ($true != X1)) & (~iG1497(X4,X3,X0) | ($true = X1)) & ? [X5 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) | ~sP2342(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43939])).
% 58.08/9.38 tff(f43939,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT)] : ((iG1497(X17,X16,X1) | ($true != X2)) & (~iG1497(X17,X16,X1) | ($true = X2)) & ? [X18 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP2342(X1,X2,X0))),
% 58.08/9.38 inference(flattening,[],[f43938])).
% 58.08/9.38 tff(f43938,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT)] : (((iG1497(X17,X16,X1) | ($true != X2)) & (~iG1497(X17,X16,X1) | ($true = X2))) & ? [X18 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP2342(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37664])).
% 58.08/9.38 tff(f37664,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT)] : ((($true = X2) <~> ~iG1497(X17,X16,X1)) & ? [X18 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP2342(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2342])])).
% 58.08/9.38 tff(f112262,plain,(
% 58.08/9.38 spl5880_5196),
% 58.08/9.38 inference(avatar_split_clause,[],[f61417,f112260])).
% 58.08/9.38 tff(f112260,plain,(
% 58.08/9.38 spl5880_5196 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1481(sK4974(X0,X1,X2)),bG1482(sK4975(X0,X1,X2))) = X2 | ~sP2337(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5196])])).
% 58.08/9.38 tff(f61417,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1481(sK4974(X0,X1,X2)),bG1482(sK4975(X0,X1,X2))) = X2 | ~sP2337(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43930])).
% 58.08/9.38 tff(f43930,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1487(sK4974(X0,X1,X2)),bG1488(sK4975(X0,X1,X2)))),X0))) & (iG1486(X0,sK4975(X0,X1,X2),sK4974(X0,X1,X2)) = X1) & vEBT_Leaf(bG1481(sK4974(X0,X1,X2)),bG1482(sK4975(X0,X1,X2))) = X2) | ~sP2337(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4974,sK4975])],[f43928,f43929])).
% 58.08/9.38 tff(f43929,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1487(X3),bG1488(X4))),X0))) & (iG1486(X0,X4,X3) = X1) & vEBT_Leaf(bG1481(X3),bG1482(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1487(sK4974(X0,X1,X2)),bG1488(sK4975(X0,X1,X2)))),X0))) & (iG1486(X0,sK4975(X0,X1,X2),sK4974(X0,X1,X2)) = X1) & vEBT_Leaf(bG1481(sK4974(X0,X1,X2)),bG1482(sK4975(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43928,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1487(X3),bG1488(X4))),X0))) & (iG1486(X0,X4,X3) = X1) & vEBT_Leaf(bG1481(X3),bG1482(X4)) = X2) | ~sP2337(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43927])).
% 58.08/9.38 tff(f43927,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1487(X3),bG1488(X4))),X1))) & (iG1486(X1,X4,X3) = X2) & vEBT_Leaf(bG1481(X3),bG1482(X4)) = X0) | ~sP2337(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37658])).
% 58.08/9.38 tff(f37658,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1487(X3),bG1488(X4))),X1))) & (iG1486(X1,X4,X3) = X2) & vEBT_Leaf(bG1481(X3),bG1482(X4)) = X0) | ~sP2337(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2337])])).
% 58.08/9.38 tff(f112258,plain,(
% 58.08/9.38 spl5880_5195),
% 58.08/9.38 inference(avatar_split_clause,[],[f61405,f112256])).
% 58.08/9.38 tff(f112256,plain,(
% 58.08/9.38 spl5880_5195 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true = X1) | ~sP2335(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5195])])).
% 58.08/9.38 tff(f61405,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true = X1) | ~sP2335(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43914])).
% 58.08/9.38 tff(f43914,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true != X1)) & (~iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true = X1)) & vEBT_Leaf(bG1475(sK4962(X0,X1,X2)),bG1476(sK4963(X0,X1,X2))) = X2) | ~sP2335(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4962,sK4963])],[f43912,f43913])).
% 58.08/9.38 tff(f43913,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1478(X0,X4,X3) | ($true != X1)) & (~iG1478(X0,X4,X3) | ($true = X1)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X2) => ((iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true != X1)) & (~iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true = X1)) & vEBT_Leaf(bG1475(sK4962(X0,X1,X2)),bG1476(sK4963(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43912,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1478(X0,X4,X3) | ($true != X1)) & (~iG1478(X0,X4,X3) | ($true = X1)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X2) | ~sP2335(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43911])).
% 58.08/9.38 tff(f43911,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((iG1478(X1,X4,X3) | ($true != X2)) & (~iG1478(X1,X4,X3) | ($true = X2)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0) | ~sP2335(X1,X2,X0))),
% 58.08/9.38 inference(flattening,[],[f43910])).
% 58.08/9.38 tff(f43910,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (((iG1478(X1,X4,X3) | ($true != X2)) & (~iG1478(X1,X4,X3) | ($true = X2))) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0) | ~sP2335(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37655])).
% 58.08/9.38 tff(f37655,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : ((($true = X2) <~> ~iG1478(X1,X4,X3)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0) | ~sP2335(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2335])])).
% 58.08/9.38 tff(f112254,plain,(
% 58.08/9.38 spl5880_5194),
% 58.08/9.38 inference(avatar_split_clause,[],[f61404,f112252])).
% 58.08/9.38 tff(f112252,plain,(
% 58.08/9.38 spl5880_5194 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1475(sK4962(X0,X1,X2)),bG1476(sK4963(X0,X1,X2))) = X2 | ~sP2335(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5194])])).
% 58.08/9.38 tff(f61404,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1475(sK4962(X0,X1,X2)),bG1476(sK4963(X0,X1,X2))) = X2 | ~sP2335(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43914])).
% 58.08/9.38 tff(f112249,plain,(
% 58.08/9.38 spl5880_5193),
% 58.08/9.38 inference(avatar_split_clause,[],[f61402,f112247])).
% 58.08/9.38 tff(f112247,plain,(
% 58.08/9.38 spl5880_5193 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true = X1) | ~sP2336(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5193])])).
% 58.08/9.38 tff(f61402,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (~iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true = X1) | ~sP2336(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43909])).
% 58.08/9.38 tff(f43909,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true != X1)) & (~iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true = X1)) & vEBT_Node(sK4958(X0,X1,X2),aa(nat,nat,suc,sK4959(X0,X1,X2)),sK4960(X0,X1,X2),sK4961(X0,X1,X2)) = X2) | ~sP2336(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4958,sK4959,sK4960,sK4961])],[f43906,f43908,f43907])).
% 58.08/9.38 tff(f43907,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT)] : ((iG1480(X5,X4,X0) | ($true != X1)) & (~iG1480(X5,X4,X0) | ($true = X1)) & ? [X6 : vEBT_VEBT] : vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) => ((iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true != X1)) & (~iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true = X1)) & ? [X6 : vEBT_VEBT] : vEBT_Node(sK4958(X0,X1,X2),aa(nat,nat,suc,sK4959(X0,X1,X2)),sK4960(X0,X1,X2),X6) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43908,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X6 : vEBT_VEBT] : vEBT_Node(sK4958(X0,X1,X2),aa(nat,nat,suc,sK4959(X0,X1,X2)),sK4960(X0,X1,X2),X6) = X2 => vEBT_Node(sK4958(X0,X1,X2),aa(nat,nat,suc,sK4959(X0,X1,X2)),sK4960(X0,X1,X2),sK4961(X0,X1,X2)) = X2)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43906,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT)] : ((iG1480(X5,X4,X0) | ($true != X1)) & (~iG1480(X5,X4,X0) | ($true = X1)) & ? [X6 : vEBT_VEBT] : vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) | ~sP2336(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43905])).
% 58.08/9.38 tff(f43905,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : ((iG1480(X10,X9,X1) | ($true != X2)) & (~iG1480(X10,X9,X1) | ($true = X2)) & ? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP2336(X1,X2,X0))),
% 58.08/9.38 inference(flattening,[],[f43904])).
% 58.08/9.38 tff(f43904,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : (((iG1480(X10,X9,X1) | ($true != X2)) & (~iG1480(X10,X9,X1) | ($true = X2))) & ? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP2336(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37656])).
% 58.08/9.38 tff(f37656,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : ((($true = X2) <~> ~iG1480(X10,X9,X1)) & ? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP2336(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2336])])).
% 58.08/9.38 tff(f112245,plain,(
% 58.08/9.38 spl5880_5192),
% 58.08/9.38 inference(avatar_split_clause,[],[f61386,f112243])).
% 58.08/9.38 tff(f112243,plain,(
% 58.08/9.38 spl5880_5192 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1468(sK4955(X0,X1,X2)),bG1469(sK4956(X0,X1,X2))) = X2 | ~sP2333(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5192])])).
% 58.08/9.38 tff(f61386,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1468(sK4955(X0,X1,X2)),bG1469(sK4956(X0,X1,X2))) = X2 | ~sP2333(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43895])).
% 58.08/9.38 tff(f43895,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(sK4955(X0,X1,X2)),bG1471(sK4956(X0,X1,X2)))),X0))) & (($true = X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ($true != X1)) & vEBT_Leaf(bG1468(sK4955(X0,X1,X2)),bG1469(sK4956(X0,X1,X2))) = X2) | ~sP2333(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4955,sK4956])],[f43893,f43894])).
% 58.08/9.38 tff(f43894,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(X3),bG1471(X4))),X0))) & (($true = X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ($true != X1)) & vEBT_Leaf(bG1468(X3),bG1469(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(sK4955(X0,X1,X2)),bG1471(sK4956(X0,X1,X2)))),X0))) & (($true = X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ($true != X1)) & vEBT_Leaf(bG1468(sK4955(X0,X1,X2)),bG1469(sK4956(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43893,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(X3),bG1471(X4))),X0))) & (($true = X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ($true != X1)) & vEBT_Leaf(bG1468(X3),bG1469(X4)) = X2) | ~sP2333(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43892])).
% 58.08/9.38 tff(f43892,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(X3),bG1471(X4))),X1))) & (($true = X2) | one_one(nat) != X1) & (one_one(nat) = X1 | ($true != X2)) & vEBT_Leaf(bG1468(X3),bG1469(X4)) = X0) | ~sP2333(X1,X2,X0))),
% 58.08/9.38 inference(flattening,[],[f43891])).
% 58.08/9.38 tff(f43891,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(X3),bG1471(X4))),X1))) & ((($true = X2) | one_one(nat) != X1) & (one_one(nat) = X1 | ($true != X2))) & vEBT_Leaf(bG1468(X3),bG1469(X4)) = X0) | ~sP2333(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37652])).
% 58.08/9.38 tff(f37652,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1470(X3),bG1471(X4))),X1))) & (($true = X2) <=> one_one(nat) = X1) & vEBT_Leaf(bG1468(X3),bG1469(X4)) = X0) | ~sP2333(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2333])])).
% 58.08/9.38 tff(f112241,plain,(
% 58.08/9.38 spl5880_5191),
% 58.08/9.38 inference(avatar_split_clause,[],[f61023,f112239])).
% 58.08/9.38 tff(f112239,plain,(
% 58.08/9.38 spl5880_5191 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1425(sK4827(X0,X1,X2)),bG1426(sK4828(X0,X1,X2))) = X2 | ~sP2270(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5191])])).
% 58.08/9.38 tff(f61023,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1425(sK4827(X0,X1,X2)),bG1426(sK4828(X0,X1,X2))) = X2 | ~sP2270(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43572])).
% 58.08/9.38 tff(f43572,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1427(sK4827(X0,X1,X2)),bG1428(sK4828(X0,X1,X2)))),zero_zero(nat)))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(sK4827(X0,X1,X2)),bG1426(sK4828(X0,X1,X2))) = X2) | ~sP2270(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4827,sK4828])],[f43570,f43571])).
% 58.08/9.38 tff(f43571,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1427(X3),bG1428(X4))),zero_zero(nat)))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(X3),bG1426(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1427(sK4827(X0,X1,X2)),bG1428(sK4828(X0,X1,X2)))),zero_zero(nat)))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(sK4827(X0,X1,X2)),bG1426(sK4828(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43570,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1427(X3),bG1428(X4))),zero_zero(nat)))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(X3),bG1426(X4)) = X2) | ~sP2270(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43569])).
% 58.08/9.38 tff(f43569,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1427(X3),bG1428(X4))),zero_zero(nat)))) & none(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(X3),bG1426(X4)) = X0) | ~sP2270(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37579])).
% 58.08/9.38 tff(f37579,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1427(X3),bG1428(X4))),zero_zero(nat)))) & none(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1425(X3),bG1426(X4)) = X0) | ~sP2270(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2270])])).
% 58.08/9.38 tff(f112237,plain,(
% 58.08/9.38 spl5880_5190),
% 58.08/9.38 inference(avatar_split_clause,[],[f61019,f112235])).
% 58.08/9.38 tff(f112235,plain,(
% 58.08/9.38 spl5880_5190 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1429(sK4825(X0,X1,X2)),bG1430(sK4826(X0,X1,X2))) = X2 | ~sP2271(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5190])])).
% 58.08/9.38 tff(f61019,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1429(sK4825(X0,X1,X2)),bG1430(sK4826(X0,X1,X2))) = X2 | ~sP2271(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43568])).
% 58.08/9.38 tff(f43568,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1432(sK4825(X0,X1,X2)),bG1433(sK4826(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(sK4825(X0,X1,X2)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(sK4825(X0,X1,X2)),bG1430(sK4826(X0,X1,X2))) = X2) | ~sP2271(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4825,sK4826])],[f43566,f43567])).
% 58.08/9.38 tff(f43567,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1432(X3),bG1433(X4))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(X3) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(X3),bG1430(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1432(sK4825(X0,X1,X2)),bG1433(sK4826(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(sK4825(X0,X1,X2)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(sK4825(X0,X1,X2)),bG1430(sK4826(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43566,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1432(X3),bG1433(X4))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(X3) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(X3),bG1430(X4)) = X2) | ~sP2271(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43565])).
% 58.08/9.38 tff(f43565,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1432(X5),bG1433(X6))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(X5) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(X5),bG1430(X6)) = X0) | ~sP2271(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37580])).
% 58.08/9.38 tff(f37580,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1432(X5),bG1433(X6))),aa(nat,nat,suc,zero_zero(nat))))) & iG1431(X5) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1429(X5),bG1430(X6)) = X0) | ~sP2271(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2271])])).
% 58.08/9.38 tff(f112233,plain,(
% 58.08/9.38 spl5880_5189),
% 58.08/9.38 inference(avatar_split_clause,[],[f61015,f112231])).
% 58.08/9.38 tff(f112231,plain,(
% 58.08/9.38 spl5880_5189 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1434(sK4822(X0,X1,X2)),bG1435(sK4823(X0,X1,X2))) = X2 | ~sP2272(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5189])])).
% 58.08/9.38 tff(f61015,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1434(sK4822(X0,X1,X2)),bG1435(sK4823(X0,X1,X2))) = X2 | ~sP2272(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43564])).
% 58.08/9.38 tff(f43564,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1438(sK4822(X0,X1,X2)),bG1439(sK4823(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4824(X0,X1,X2)))))) & iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4824(X0,X1,X2))) = X1) & vEBT_Leaf(bG1434(sK4822(X0,X1,X2)),bG1435(sK4823(X0,X1,X2))) = X2) | ~sP2272(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4822,sK4823,sK4824])],[f43561,f43563,f43562])).
% 58.08/9.38 tff(f43562,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1438(X3),bG1439(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & iG1437(X4,X3) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1434(X3),bG1435(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1438(sK4822(X0,X1,X2)),bG1439(sK4823(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1434(sK4822(X0,X1,X2)),bG1435(sK4823(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43563,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1438(sK4822(X0,X1,X2)),bG1439(sK4823(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1438(sK4822(X0,X1,X2)),bG1439(sK4823(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4824(X0,X1,X2)))))) & iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4824(X0,X1,X2))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43561,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1438(X3),bG1439(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & iG1437(X4,X3) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1434(X3),bG1435(X4)) = X2) | ~sP2272(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43560])).
% 58.08/9.38 tff(f43560,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1438(X7),bG1439(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & iG1437(X8,X7) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1434(X7),bG1435(X8)) = X0) | ~sP2272(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37581])).
% 58.08/9.38 tff(f37581,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1438(X7),bG1439(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & iG1437(X8,X7) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1434(X7),bG1435(X8)) = X0) | ~sP2272(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2272])])).
% 58.08/9.38 tff(f112229,plain,(
% 58.08/9.38 spl5880_5188),
% 58.08/9.38 inference(avatar_split_clause,[],[f60999,f112227])).
% 58.08/9.38 tff(f112227,plain,(
% 58.08/9.38 spl5880_5188 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1408(sK4806(X0,X1,X2)),bG1409(sK4807(X0,X1,X2))) = X2 | ~sP2265(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5188])])).
% 58.08/9.38 tff(f60999,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1408(sK4806(X0,X1,X2)),bG1409(sK4807(X0,X1,X2))) = X2 | ~sP2265(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43544])).
% 58.08/9.38 tff(f43544,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1411(sK4806(X0,X1,X2)),bG1412(sK4807(X0,X1,X2)))),zero_zero(nat)))) & iG1410(sK4807(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(sK4806(X0,X1,X2)),bG1409(sK4807(X0,X1,X2))) = X2) | ~sP2265(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4806,sK4807])],[f43542,f43543])).
% 58.08/9.38 tff(f43543,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1411(X3),bG1412(X4))),zero_zero(nat)))) & iG1410(X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(X3),bG1409(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1411(sK4806(X0,X1,X2)),bG1412(sK4807(X0,X1,X2)))),zero_zero(nat)))) & iG1410(sK4807(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(sK4806(X0,X1,X2)),bG1409(sK4807(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43542,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1411(X3),bG1412(X4))),zero_zero(nat)))) & iG1410(X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(X3),bG1409(X4)) = X2) | ~sP2265(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43541])).
% 58.08/9.38 tff(f43541,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1411(X3),bG1412(X4))),zero_zero(nat)))) & iG1410(X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(X3),bG1409(X4)) = X0) | ~sP2265(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37573])).
% 58.08/9.38 tff(f37573,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1411(X3),bG1412(X4))),zero_zero(nat)))) & iG1410(X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1408(X3),bG1409(X4)) = X0) | ~sP2265(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2265])])).
% 58.08/9.38 tff(f112225,plain,(
% 58.08/9.38 spl5880_5187),
% 58.08/9.38 inference(avatar_split_clause,[],[f60995,f112223])).
% 58.08/9.38 tff(f112223,plain,(
% 58.08/9.38 spl5880_5187 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1413(sK4803(X0,X1,X2)),bG1414(sK4804(X0,X1,X2))) = X2 | ~sP2266(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5187])])).
% 58.08/9.38 tff(f60995,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1413(sK4803(X0,X1,X2)),bG1414(sK4804(X0,X1,X2))) = X2 | ~sP2266(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43540])).
% 58.08/9.38 tff(f43540,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1415(sK4803(X0,X1,X2)),bG1416(sK4804(X0,X1,X2)))),aa(nat,nat,suc,sK4805(X0,X1,X2))))) & none(nat) = X0 & aa(nat,nat,suc,sK4805(X0,X1,X2)) = X1) & vEBT_Leaf(bG1413(sK4803(X0,X1,X2)),bG1414(sK4804(X0,X1,X2))) = X2) | ~sP2266(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4803,sK4804,sK4805])],[f43537,f43539,f43538])).
% 58.08/9.38 tff(f43538,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1415(X3),bG1416(X4))),aa(nat,nat,suc,X5)))) & none(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1413(X3),bG1414(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1415(sK4803(X0,X1,X2)),bG1416(sK4804(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & none(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1413(sK4803(X0,X1,X2)),bG1414(sK4804(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43539,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1415(sK4803(X0,X1,X2)),bG1416(sK4804(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & none(nat) = X0 & aa(nat,nat,suc,X5) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1415(sK4803(X0,X1,X2)),bG1416(sK4804(X0,X1,X2)))),aa(nat,nat,suc,sK4805(X0,X1,X2))))) & none(nat) = X0 & aa(nat,nat,suc,sK4805(X0,X1,X2)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43537,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1415(X3),bG1416(X4))),aa(nat,nat,suc,X5)))) & none(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1413(X3),bG1414(X4)) = X2) | ~sP2266(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43536])).
% 58.08/9.38 tff(f43536,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1415(X5),bG1416(X6))),aa(nat,nat,suc,X7)))) & none(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1413(X5),bG1414(X6)) = X0) | ~sP2266(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37574])).
% 58.08/9.38 tff(f37574,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1415(X5),bG1416(X6))),aa(nat,nat,suc,X7)))) & none(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1413(X5),bG1414(X6)) = X0) | ~sP2266(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2266])])).
% 58.08/9.38 tff(f112221,plain,(
% 58.08/9.38 spl5880_5186),
% 58.08/9.38 inference(avatar_split_clause,[],[f60979,f112219])).
% 58.08/9.38 tff(f112219,plain,(
% 58.08/9.38 spl5880_5186 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1395(sK4784(X0,X1,X2)),bG1396(sK4785(X0,X1,X2))) = X2 | ~sP2261(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5186])])).
% 58.08/9.38 tff(f60979,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1395(sK4784(X0,X1,X2)),bG1396(sK4785(X0,X1,X2))) = X2 | ~sP2261(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43519])).
% 58.08/9.38 tff(f43519,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((iG1397(sK4785(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(sK4784(X0,X1,X2)),bG1396(sK4785(X0,X1,X2))) = X2) | ~sP2261(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4784,sK4785])],[f43517,f43518])).
% 58.08/9.38 tff(f43518,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1397(X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(X3),bG1396(X4)) = X2) => (iG1397(sK4785(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(sK4784(X0,X1,X2)),bG1396(sK4785(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43517,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1397(X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(X3),bG1396(X4)) = X2) | ~sP2261(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43516])).
% 58.08/9.38 tff(f43516,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1397(X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(X3),bG1396(X4)) = X0) | ~sP2261(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37568])).
% 58.08/9.38 tff(f37568,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1397(X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1395(X3),bG1396(X4)) = X0) | ~sP2261(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2261])])).
% 58.08/9.38 tff(f112217,plain,(
% 58.08/9.38 spl5880_5185),
% 58.08/9.38 inference(avatar_split_clause,[],[f60962,f112215])).
% 58.08/9.38 tff(f112215,plain,(
% 58.08/9.38 spl5880_5185 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(sK4764(X0,X1,X2))) = X2 | ~sP2257(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5185])])).
% 58.08/9.38 tff(f60962,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(sK4764(X0,X1,X2))) = X2 | ~sP2257(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43494])).
% 58.08/9.38 tff(f43494,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((iG1381(sK4763(X0,X1,X2)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(sK4764(X0,X1,X2))) = X2) | ~sP2257(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4763,sK4764])],[f43491,f43493,f43492])).
% 58.08/9.38 tff(f43492,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o] : (iG1381(X3) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1379(X3),bG1380(X4)) = X2) => (iG1381(sK4763(X0,X1,X2)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(X4)) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43493,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X4 : $o] : vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(X4)) = X2 => vEBT_Leaf(bG1379(sK4763(X0,X1,X2)),bG1380(sK4764(X0,X1,X2))) = X2)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43491,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o] : (iG1381(X3) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1379(X3),bG1380(X4)) = X2) | ~sP2257(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43490])).
% 58.08/9.38 tff(f43490,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o] : (iG1381(X5) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : $o] : vEBT_Leaf(bG1379(X5),bG1380(X6)) = X0) | ~sP2257(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37563])).
% 58.08/9.38 tff(f37563,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o] : (iG1381(X5) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : $o] : vEBT_Leaf(bG1379(X5),bG1380(X6)) = X0) | ~sP2257(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2257])])).
% 58.08/9.38 tff(f112213,plain,(
% 58.08/9.38 spl5880_5184),
% 58.08/9.38 inference(avatar_split_clause,[],[f60959,f112211])).
% 58.08/9.38 tff(f112211,plain,(
% 58.08/9.38 spl5880_5184 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1382(sK4760(X0,X1,X2)),bG1383(sK4761(X0,X1,X2))) = X2 | ~sP2258(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5184])])).
% 58.08/9.38 tff(f60959,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1382(sK4760(X0,X1,X2)),bG1383(sK4761(X0,X1,X2))) = X2 | ~sP2258(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43489])).
% 58.08/9.38 tff(f43489,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((iG1385(sK4761(X0,X1,X2),sK4760(X0,X1,X2)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4762(X1))) = X1 & vEBT_Leaf(bG1382(sK4760(X0,X1,X2)),bG1383(sK4761(X0,X1,X2))) = X2) | ~sP2258(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4760,sK4761,sK4762])],[f43486,f43488,f43487])).
% 58.08/9.38 tff(f43487,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1385(X4,X3) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1382(X3),bG1383(X4)) = X2) => (iG1385(sK4761(X0,X1,X2),sK4760(X0,X1,X2)) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1382(sK4760(X0,X1,X2)),bG1383(sK4761(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43488,plain,(
% 58.08/9.38 ! [X1 : nat] : (? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 => aa(nat,nat,suc,aa(nat,nat,suc,sK4762(X1))) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43486,plain,(
% 58.08/9.38 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1385(X4,X3) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1382(X3),bG1383(X4)) = X2) | ~sP2258(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43485])).
% 58.08/9.38 tff(f43485,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (iG1385(X8,X7) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1382(X7),bG1383(X8)) = X0) | ~sP2258(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37564])).
% 58.08/9.38 tff(f37564,plain,(
% 58.08/9.38 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (iG1385(X8,X7) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1382(X7),bG1383(X8)) = X0) | ~sP2258(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2258])])).
% 58.08/9.38 tff(f112208,plain,(
% 58.08/9.38 spl5880_5183),
% 58.08/9.38 inference(avatar_split_clause,[],[f60943,f112206])).
% 58.08/9.38 tff(f112206,plain,(
% 58.08/9.38 spl5880_5183 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1345(sK4747(X0,X1,X2)),bG1346(sK4748(X0,X1,X2))) = X2 | ~sP2250(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5183])])).
% 58.08/9.38 tff(f60943,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1345(sK4747(X0,X1,X2)),bG1346(sK4748(X0,X1,X2))) = X2 | ~sP2250(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43473])).
% 58.08/9.38 tff(f43473,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1348(sK4747(X0,X1,X2)),bG1349(sK4748(X0,X1,X2)))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(sK4748(X0,X1,X2))) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(sK4747(X0,X1,X2)),bG1346(sK4748(X0,X1,X2))) = X2) | ~sP2250(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4747,sK4748])],[f43471,f43472])).
% 58.08/9.38 tff(f43472,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1348(X3),bG1349(X4))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(X4)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(X3),bG1346(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1348(sK4747(X0,X1,X2)),bG1349(sK4748(X0,X1,X2)))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(sK4748(X0,X1,X2))) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(sK4747(X0,X1,X2)),bG1346(sK4748(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43471,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1348(X3),bG1349(X4))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(X4)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(X3),bG1346(X4)) = X2) | ~sP2250(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43470])).
% 58.08/9.38 tff(f43470,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1348(X3),bG1349(X4))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(X4)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(X3),bG1346(X4)) = X0) | ~sP2250(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37555])).
% 58.08/9.38 tff(f37555,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1348(X3),bG1349(X4))),zero_zero(nat)))) & vEBT_Leaf($false,bG1347(X4)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1345(X3),bG1346(X4)) = X0) | ~sP2250(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2250])])).
% 58.08/9.38 tff(f112204,plain,(
% 58.08/9.38 spl5880_5182),
% 58.08/9.38 inference(avatar_split_clause,[],[f60939,f112202])).
% 58.08/9.38 tff(f112202,plain,(
% 58.08/9.38 spl5880_5182 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1350(sK4745(X0,X1,X2)),bG1351(sK4746(X0,X1,X2))) = X2 | ~sP2251(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5182])])).
% 58.08/9.38 tff(f60939,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1350(sK4745(X0,X1,X2)),bG1351(sK4746(X0,X1,X2))) = X2 | ~sP2251(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43469])).
% 58.08/9.38 tff(f43469,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1353(sK4745(X0,X1,X2)),bG1354(sK4746(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(sK4745(X0,X1,X2)),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(sK4745(X0,X1,X2)),bG1351(sK4746(X0,X1,X2))) = X2) | ~sP2251(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4745,sK4746])],[f43467,f43468])).
% 58.08/9.38 tff(f43468,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1353(X3),bG1354(X4))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(X3),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(X3),bG1351(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1353(sK4745(X0,X1,X2)),bG1354(sK4746(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(sK4745(X0,X1,X2)),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(sK4745(X0,X1,X2)),bG1351(sK4746(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43467,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1353(X3),bG1354(X4))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(X3),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(X3),bG1351(X4)) = X2) | ~sP2251(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43466])).
% 58.08/9.38 tff(f43466,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1353(X5),bG1354(X6))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(X5),$false) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(X5),bG1351(X6)) = X0) | ~sP2251(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37556])).
% 58.08/9.38 tff(f37556,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1353(X5),bG1354(X6))),aa(nat,nat,suc,zero_zero(nat))))) & vEBT_Leaf(bG1352(X5),$false) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1350(X5),bG1351(X6)) = X0) | ~sP2251(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2251])])).
% 58.08/9.38 tff(f112200,plain,(
% 58.08/9.38 spl5880_5181),
% 58.08/9.38 inference(avatar_split_clause,[],[f60937,f112198])).
% 58.08/9.38 tff(f112198,plain,(
% 58.08/9.38 spl5880_5181 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 | ~sP2252(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5181])])).
% 58.08/9.38 tff(f60937,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 | ~sP2252(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43465])).
% 58.08/9.38 tff(f43465,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1359(sK4742(X0,X1,X2)),bG1360(sK4743(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4744(X0,X1,X2)))))) & vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4744(X0,X1,X2))) = X1) & vEBT_Leaf(bG1355(sK4742(X0,X1,X2)),bG1356(sK4743(X0,X1,X2))) = X2) | ~sP2252(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4742,sK4743,sK4744])],[f43462,f43464,f43463])).
% 58.08/9.38 tff(f43463,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1359(X3),bG1360(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & vEBT_Leaf(bG1357(X3),bG1358(X4)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1355(X3),bG1356(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1359(sK4742(X0,X1,X2)),bG1360(sK4743(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1355(sK4742(X0,X1,X2)),bG1356(sK4743(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43464,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1359(sK4742(X0,X1,X2)),bG1360(sK4743(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1359(sK4742(X0,X1,X2)),bG1360(sK4743(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4744(X0,X1,X2)))))) & vEBT_Leaf(bG1357(sK4742(X0,X1,X2)),bG1358(sK4743(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4744(X0,X1,X2))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43462,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1359(X3),bG1360(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & vEBT_Leaf(bG1357(X3),bG1358(X4)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1355(X3),bG1356(X4)) = X2) | ~sP2252(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43461])).
% 58.08/9.38 tff(f43461,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG1359(X7),bG1360(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & vEBT_Leaf(bG1357(X7),bG1358(X8)) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1355(X7),bG1356(X8)) = X0) | ~sP2252(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37557])).
% 58.08/9.38 tff(f37557,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1359(X7),bG1360(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & vEBT_Leaf(bG1357(X7),bG1358(X8)) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1355(X7),bG1356(X8)) = X0) | ~sP2252(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2252])])).
% 58.08/9.38 tff(f112196,plain,(
% 58.08/9.38 spl5880_5180),
% 58.08/9.38 inference(avatar_split_clause,[],[f60935,f112194])).
% 58.08/9.38 tff(f112194,plain,(
% 58.08/9.38 spl5880_5180 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1355(sK4742(X0,X1,X2)),bG1356(sK4743(X0,X1,X2))) = X2 | ~sP2252(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5180])])).
% 58.08/9.38 tff(f60935,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1355(sK4742(X0,X1,X2)),bG1356(sK4743(X0,X1,X2))) = X2 | ~sP2252(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43465])).
% 58.08/9.38 tff(f112192,plain,(
% 58.08/9.38 spl5880_5179),
% 58.08/9.38 inference(avatar_split_clause,[],[f60919,f112190])).
% 58.08/9.38 tff(f112190,plain,(
% 58.08/9.38 spl5880_5179 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1319(sK4720(X0,X1,X2)),bG1320(sK4721(X0,X1,X2))) = X2 | ~sP2245(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5179])])).
% 58.08/9.38 tff(f60919,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1319(sK4720(X0,X1,X2)),bG1320(sK4721(X0,X1,X2))) = X2 | ~sP2245(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43444])).
% 58.08/9.38 tff(f43444,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((vEBT_Leaf($false,bG1321(sK4721(X0,X1,X2))) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(sK4720(X0,X1,X2)),bG1320(sK4721(X0,X1,X2))) = X2) | ~sP2245(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4720,sK4721])],[f43442,f43443])).
% 58.08/9.38 tff(f43443,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf($false,bG1321(X4)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(X3),bG1320(X4)) = X2) => (vEBT_Leaf($false,bG1321(sK4721(X0,X1,X2))) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(sK4720(X0,X1,X2)),bG1320(sK4721(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43442,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf($false,bG1321(X4)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(X3),bG1320(X4)) = X2) | ~sP2245(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43441])).
% 58.08/9.38 tff(f43441,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf($false,bG1321(X4)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(X3),bG1320(X4)) = X0) | ~sP2245(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37549])).
% 58.08/9.38 tff(f37549,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf($false,bG1321(X4)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1319(X3),bG1320(X4)) = X0) | ~sP2245(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2245])])).
% 58.08/9.38 tff(f112188,plain,(
% 58.08/9.38 spl5880_5178),
% 58.08/9.38 inference(avatar_split_clause,[],[f60916,f112186])).
% 58.08/9.38 tff(f112186,plain,(
% 58.08/9.38 spl5880_5178 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(sK4719(X0,X1,X2))) = X2 | ~sP2246(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5178])])).
% 58.08/9.38 tff(f60916,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(sK4719(X0,X1,X2))) = X2 | ~sP2246(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43440])).
% 58.08/9.38 tff(f43440,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((vEBT_Leaf(bG1324(sK4718(X0,X1,X2)),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(sK4719(X0,X1,X2))) = X2) | ~sP2246(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4718,sK4719])],[f43437,f43439,f43438])).
% 58.08/9.38 tff(f43438,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o] : (vEBT_Leaf(bG1324(X3),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1322(X3),bG1323(X4)) = X2) => (vEBT_Leaf(bG1324(sK4718(X0,X1,X2)),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(X4)) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43439,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X4 : $o] : vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(X4)) = X2 => vEBT_Leaf(bG1322(sK4718(X0,X1,X2)),bG1323(sK4719(X0,X1,X2))) = X2)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43437,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o] : (vEBT_Leaf(bG1324(X3),$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o] : vEBT_Leaf(bG1322(X3),bG1323(X4)) = X2) | ~sP2246(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43436])).
% 58.08/9.38 tff(f43436,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o] : (vEBT_Leaf(bG1324(X5),$false) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : $o] : vEBT_Leaf(bG1322(X5),bG1323(X6)) = X0) | ~sP2246(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37550])).
% 58.08/9.38 tff(f37550,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o] : (vEBT_Leaf(bG1324(X5),$false) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : $o] : vEBT_Leaf(bG1322(X5),bG1323(X6)) = X0) | ~sP2246(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2246])])).
% 58.08/9.38 tff(f112184,plain,(
% 58.08/9.38 spl5880_5177),
% 58.08/9.38 inference(avatar_split_clause,[],[f60915,f112182])).
% 58.08/9.38 tff(f112182,plain,(
% 58.08/9.38 spl5880_5177 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1327(sK4715(X0,X1,X2)),bG1328(sK4716(X0,X1,X2))) = X0 | ~sP2247(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5177])])).
% 58.08/9.38 tff(f60915,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1327(sK4715(X0,X1,X2)),bG1328(sK4716(X0,X1,X2))) = X0 | ~sP2247(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43435])).
% 58.08/9.38 tff(f43435,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((vEBT_Leaf(bG1327(sK4715(X0,X1,X2)),bG1328(sK4716(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4717(X1))) = X1 & vEBT_Leaf(bG1325(sK4715(X0,X1,X2)),bG1326(sK4716(X0,X1,X2))) = X2) | ~sP2247(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4715,sK4716,sK4717])],[f43432,f43434,f43433])).
% 58.08/9.38 tff(f43433,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf(bG1327(X3),bG1328(X4)) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1325(X3),bG1326(X4)) = X2) => (vEBT_Leaf(bG1327(sK4715(X0,X1,X2)),bG1328(sK4716(X0,X1,X2))) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1325(sK4715(X0,X1,X2)),bG1326(sK4716(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43434,plain,(
% 58.08/9.38 ! [X1 : nat] : (? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 => aa(nat,nat,suc,aa(nat,nat,suc,sK4717(X1))) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43432,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (vEBT_Leaf(bG1327(X3),bG1328(X4)) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1325(X3),bG1326(X4)) = X2) | ~sP2247(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43431])).
% 58.08/9.38 tff(f43431,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (vEBT_Leaf(bG1327(X7),bG1328(X8)) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1325(X7),bG1326(X8)) = X0) | ~sP2247(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37551])).
% 58.08/9.38 tff(f37551,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (vEBT_Leaf(bG1327(X7),bG1328(X8)) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1325(X7),bG1326(X8)) = X0) | ~sP2247(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2247])])).
% 58.08/9.38 tff(f112180,plain,(
% 58.08/9.38 spl5880_5176),
% 58.08/9.38 inference(avatar_split_clause,[],[f60913,f112178])).
% 58.08/9.38 tff(f112178,plain,(
% 58.08/9.38 spl5880_5176 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1325(sK4715(X0,X1,X2)),bG1326(sK4716(X0,X1,X2))) = X2 | ~sP2247(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5176])])).
% 58.08/9.38 tff(f60913,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1325(sK4715(X0,X1,X2)),bG1326(sK4716(X0,X1,X2))) = X2 | ~sP2247(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43435])).
% 58.08/9.38 tff(f112176,plain,(
% 58.08/9.38 spl5880_5175),
% 58.08/9.38 inference(avatar_split_clause,[],[f60839,f112174])).
% 58.08/9.38 tff(f112174,plain,(
% 58.08/9.38 spl5880_5175 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1291(sK4677(X0,X1,X2)),bG1292(sK4678(X0,X1,X2))) = X2 | ~sP2223(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5175])])).
% 58.08/9.38 tff(f60839,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1291(sK4677(X0,X1,X2)),bG1292(sK4678(X0,X1,X2))) = X2 | ~sP2223(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43345])).
% 58.08/9.38 tff(f43345,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1293(sK4677(X0,X1,X2)),bG1294(sK4678(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(sK4677(X0,X1,X2)),bG1292(sK4678(X0,X1,X2))) = X2) | ~sP2223(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4677,sK4678])],[f43343,f43344])).
% 58.08/9.38 tff(f43344,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1293(X3),bG1294(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(X3),bG1292(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1293(sK4677(X0,X1,X2)),bG1294(sK4678(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(sK4677(X0,X1,X2)),bG1292(sK4678(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43343,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1293(X3),bG1294(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(X3),bG1292(X4)) = X2) | ~sP2223(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43342])).
% 58.08/9.38 tff(f43342,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1293(X3),bG1294(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(X3),bG1292(X4)) = X0) | ~sP2223(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37524])).
% 58.08/9.38 tff(f37524,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1293(X3),bG1294(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1291(X3),bG1292(X4)) = X0) | ~sP2223(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2223])])).
% 58.08/9.38 tff(f112172,plain,(
% 58.08/9.38 spl5880_5174),
% 58.08/9.38 inference(avatar_split_clause,[],[f60835,f112170])).
% 58.08/9.38 tff(f112170,plain,(
% 58.08/9.38 spl5880_5174 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1295(sK4675(X0,X1,X2)),bG1296(sK4676(X0,X1,X2))) = X2 | ~sP2224(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5174])])).
% 58.08/9.38 tff(f60835,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1295(sK4675(X0,X1,X2)),bG1296(sK4676(X0,X1,X2))) = X2 | ~sP2224(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43341])).
% 58.08/9.38 tff(f43341,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1297(sK4675(X0,X1,X2)),bG1298(sK4676(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(sK4675(X0,X1,X2)),bG1296(sK4676(X0,X1,X2))) = X2) | ~sP2224(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4675,sK4676])],[f43339,f43340])).
% 58.08/9.38 tff(f43340,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1297(X3),bG1298(X4))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(X3),bG1296(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1297(sK4675(X0,X1,X2)),bG1298(sK4676(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(sK4675(X0,X1,X2)),bG1296(sK4676(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43339,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1297(X3),bG1298(X4))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(X3),bG1296(X4)) = X2) | ~sP2224(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43338])).
% 58.08/9.38 tff(f43338,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1297(X5),bG1298(X6))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(X5),bG1296(X6)) = X0) | ~sP2224(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37525])).
% 58.08/9.38 tff(f37525,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1297(X5),bG1298(X6))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1295(X5),bG1296(X6)) = X0) | ~sP2224(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2224])])).
% 58.08/9.38 tff(f112166,plain,(
% 58.08/9.38 spl5880_5173),
% 58.08/9.38 inference(avatar_split_clause,[],[f60831,f112164])).
% 58.08/9.38 tff(f112164,plain,(
% 58.08/9.38 spl5880_5173 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1299(sK4672(X0,X1,X2)),bG1300(sK4673(X0,X1,X2))) = X2 | ~sP2225(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5173])])).
% 58.08/9.38 tff(f60831,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1299(sK4672(X0,X1,X2)),bG1300(sK4673(X0,X1,X2))) = X2 | ~sP2225(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43337])).
% 58.08/9.38 tff(f43337,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1301(sK4672(X0,X1,X2)),bG1302(sK4673(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4674(X0,X1,X2)))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4674(X0,X1,X2))) = X1) & vEBT_Leaf(bG1299(sK4672(X0,X1,X2)),bG1300(sK4673(X0,X1,X2))) = X2) | ~sP2225(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4672,sK4673,sK4674])],[f43334,f43336,f43335])).
% 58.08/9.38 tff(f43335,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1301(X3),bG1302(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1299(X3),bG1300(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1301(sK4672(X0,X1,X2)),bG1302(sK4673(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1299(sK4672(X0,X1,X2)),bG1300(sK4673(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43336,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1301(sK4672(X0,X1,X2)),bG1302(sK4673(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1301(sK4672(X0,X1,X2)),bG1302(sK4673(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4674(X0,X1,X2)))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4674(X0,X1,X2))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43334,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1301(X3),bG1302(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1299(X3),bG1300(X4)) = X2) | ~sP2225(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43333])).
% 58.08/9.38 tff(f43333,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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(bG1301(X7),bG1302(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & one_one(nat) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1299(X7),bG1300(X8)) = X0) | ~sP2225(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37526])).
% 58.08/9.38 tff(f37526,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1301(X7),bG1302(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & one_one(nat) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1299(X7),bG1300(X8)) = X0) | ~sP2225(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2225])])).
% 58.08/9.38 tff(f112162,plain,(
% 58.08/9.38 spl5880_5172),
% 58.08/9.38 inference(avatar_split_clause,[],[f60799,f112160])).
% 58.08/9.38 tff(f112160,plain,(
% 58.08/9.38 spl5880_5172 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1253(sK4631(X0,X1,X2)),bG1254(sK4632(X0,X1,X2))) = X2 | ~sP2214(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5172])])).
% 58.08/9.38 tff(f60799,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1253(sK4631(X0,X1,X2)),bG1254(sK4632(X0,X1,X2))) = X2 | ~sP2214(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43292])).
% 58.08/9.38 tff(f43292,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_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(bG1261(sK4631(X0,X1,X2)),bG1262(sK4632(X0,X1,X2)))),X0))) & iG1260(X0,sK4632(X0,X1,X2),sK4631(X0,X1,X2)) = X1 & vEBT_Leaf(bG1253(sK4631(X0,X1,X2)),bG1254(sK4632(X0,X1,X2))) = X2) | ~sP2214(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4631,sK4632])],[f43290,f43291])).
% 58.08/9.38 tff(f43291,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1261(X3),bG1262(X4))),X0))) & iG1260(X0,X4,X3) = X1 & vEBT_Leaf(bG1253(X3),bG1254(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_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(bG1261(sK4631(X0,X1,X2)),bG1262(sK4632(X0,X1,X2)))),X0))) & iG1260(X0,sK4632(X0,X1,X2),sK4631(X0,X1,X2)) = X1 & vEBT_Leaf(bG1253(sK4631(X0,X1,X2)),bG1254(sK4632(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43290,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_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(bG1261(X3),bG1262(X4))),X0))) & iG1260(X0,X4,X3) = X1 & vEBT_Leaf(bG1253(X3),bG1254(X4)) = X2) | ~sP2214(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43289])).
% 58.08/9.38 tff(f43289,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_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(bG1261(X3),bG1262(X4))),X1))) & iG1260(X1,X4,X3) = X2 & vEBT_Leaf(bG1253(X3),bG1254(X4)) = X0) | ~sP2214(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37513])).
% 58.08/9.38 tff(f37513,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : vEBT_VEBT,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_insert_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(bG1261(X3),bG1262(X4))),X1))) & iG1260(X1,X4,X3) = X2 & vEBT_Leaf(bG1253(X3),bG1254(X4)) = X0) | ~sP2214(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2214])])).
% 58.08/9.38 tff(f112158,plain,(
% 58.08/9.38 spl5880_5171),
% 58.08/9.38 inference(avatar_split_clause,[],[f60784,f112156])).
% 58.08/9.38 tff(f112156,plain,(
% 58.08/9.38 spl5880_5171 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1239(sK4612(X0,X1,X2)),bG1240(sK4613(X0,X1,X2))) = X2 | ~sP2211(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5171])])).
% 58.08/9.38 tff(f60784,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1239(sK4612(X0,X1,X2)),bG1240(sK4613(X0,X1,X2))) = X2 | ~sP2211(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43272])).
% 58.08/9.38 tff(f43272,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((iG1246(X1,sK4613(X0,X1,X2),sK4612(X0,X1,X2)) = X0 & vEBT_Leaf(bG1239(sK4612(X0,X1,X2)),bG1240(sK4613(X0,X1,X2))) = X2) | ~sP2211(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4612,sK4613])],[f43270,f43271])).
% 58.08/9.38 tff(f43271,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1246(X1,X4,X3) = X0 & vEBT_Leaf(bG1239(X3),bG1240(X4)) = X2) => (iG1246(X1,sK4613(X0,X1,X2),sK4612(X0,X1,X2)) = X0 & vEBT_Leaf(bG1239(sK4612(X0,X1,X2)),bG1240(sK4613(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43270,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1246(X1,X4,X3) = X0 & vEBT_Leaf(bG1239(X3),bG1240(X4)) = X2) | ~sP2211(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43269])).
% 58.08/9.38 tff(f43269,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1246(X1,X4,X3) = X2 & vEBT_Leaf(bG1239(X3),bG1240(X4)) = X0) | ~sP2211(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37509])).
% 58.08/9.38 tff(f37509,plain,(
% 58.08/9.38 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (iG1246(X1,X4,X3) = X2 & vEBT_Leaf(bG1239(X3),bG1240(X4)) = X0) | ~sP2211(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2211])])).
% 58.08/9.38 tff(f112154,plain,(
% 58.08/9.38 spl5880_5170),
% 58.08/9.38 inference(avatar_split_clause,[],[f60773,f112152])).
% 58.08/9.38 tff(f112152,plain,(
% 58.08/9.38 spl5880_5170 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1218(sK4599(X0,X1,X2)),bG1219(sK4600(X0,X1,X2))) = X2 | ~sP2205(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5170])])).
% 58.08/9.38 tff(f60773,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1218(sK4599(X0,X1,X2)),bG1219(sK4600(X0,X1,X2))) = X2 | ~sP2205(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43257])).
% 58.08/9.38 tff(f43257,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(sK4599(X0,X1,X2)),bG1221(sK4600(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(sK4599(X0,X1,X2)),bG1219(sK4600(X0,X1,X2))) = X2) | ~sP2205(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4599,sK4600])],[f43255,f43256])).
% 58.08/9.38 tff(f43256,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(X3),bG1221(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(X3),bG1219(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(sK4599(X0,X1,X2)),bG1221(sK4600(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(sK4599(X0,X1,X2)),bG1219(sK4600(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43255,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(X3),bG1221(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(X3),bG1219(X4)) = X2) | ~sP2205(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43254])).
% 58.08/9.38 tff(f43254,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(X3),bG1221(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(X3),bG1219(X4)) = X0) | ~sP2205(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37502])).
% 58.08/9.38 tff(f37502,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1220(X3),bG1221(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1218(X3),bG1219(X4)) = X0) | ~sP2205(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2205])])).
% 58.08/9.38 tff(f112150,plain,(
% 58.08/9.38 spl5880_5169),
% 58.08/9.38 inference(avatar_split_clause,[],[f60769,f112148])).
% 58.08/9.38 tff(f112148,plain,(
% 58.08/9.38 spl5880_5169 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1222(sK4597(X0,X1,X2)),bG1223(sK4598(X0,X1,X2))) = X2 | ~sP2206(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5169])])).
% 58.08/9.38 tff(f60769,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1222(sK4597(X0,X1,X2)),bG1223(sK4598(X0,X1,X2))) = X2 | ~sP2206(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43253])).
% 58.08/9.38 tff(f43253,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(sK4597(X0,X1,X2)),bG1225(sK4598(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(sK4597(X0,X1,X2)),bG1223(sK4598(X0,X1,X2))) = X2) | ~sP2206(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4597,sK4598])],[f43251,f43252])).
% 58.08/9.38 tff(f43252,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(X3),bG1225(X4))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(X3),bG1223(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(sK4597(X0,X1,X2)),bG1225(sK4598(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(sK4597(X0,X1,X2)),bG1223(sK4598(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43251,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(X3),bG1225(X4))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(X3),bG1223(X4)) = X2) | ~sP2206(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43250])).
% 58.08/9.38 tff(f43250,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(X5),bG1225(X6))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(X5),bG1223(X6)) = X0) | ~sP2206(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37503])).
% 58.08/9.38 tff(f37503,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1224(X5),bG1225(X6))),aa(nat,nat,suc,zero_zero(nat))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1222(X5),bG1223(X6)) = X0) | ~sP2206(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2206])])).
% 58.08/9.38 tff(f112146,plain,(
% 58.08/9.38 spl5880_5168),
% 58.08/9.38 inference(avatar_split_clause,[],[f60765,f112144])).
% 58.08/9.38 tff(f112144,plain,(
% 58.08/9.38 spl5880_5168 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1226(sK4594(X0,X1,X2)),bG1227(sK4595(X0,X1,X2))) = X2 | ~sP2207(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5168])])).
% 58.08/9.38 tff(f60765,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1226(sK4594(X0,X1,X2)),bG1227(sK4595(X0,X1,X2))) = X2 | ~sP2207(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43249])).
% 58.08/9.38 tff(f43249,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(sK4594(X0,X1,X2)),bG1230(sK4595(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4596(X0,X1,X2)))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(sK4595(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4596(X0,X1,X2))) = X1) & vEBT_Leaf(bG1226(sK4594(X0,X1,X2)),bG1227(sK4595(X0,X1,X2))) = X2) | ~sP2207(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4594,sK4595,sK4596])],[f43246,f43248,f43247])).
% 58.08/9.38 tff(f43247,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(X3),bG1230(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(X4)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1226(X3),bG1227(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(sK4594(X0,X1,X2)),bG1230(sK4595(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(sK4595(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1226(sK4594(X0,X1,X2)),bG1227(sK4595(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43248,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(sK4594(X0,X1,X2)),bG1230(sK4595(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(sK4595(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(sK4594(X0,X1,X2)),bG1230(sK4595(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4596(X0,X1,X2)))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(sK4595(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4596(X0,X1,X2))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43246,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(X3),bG1230(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(X4)) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1226(X3),bG1227(X4)) = X2) | ~sP2207(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43245])).
% 58.08/9.38 tff(f43245,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(X7),bG1230(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(X8)) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1226(X7),bG1227(X8)) = X0) | ~sP2207(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37504])).
% 58.08/9.38 tff(f37504,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1229(X7),bG1230(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1228(X8)) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1226(X7),bG1227(X8)) = X0) | ~sP2207(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2207])])).
% 58.08/9.38 tff(f112142,plain,(
% 58.08/9.38 spl5880_5167),
% 58.08/9.38 inference(avatar_split_clause,[],[f60749,f112140])).
% 58.08/9.38 tff(f112140,plain,(
% 58.08/9.38 spl5880_5167 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1200(sK4578(X0,X1,X2)),bG1201(sK4579(X0,X1,X2))) = X2 | ~sP2199(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5167])])).
% 58.08/9.38 tff(f60749,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1200(sK4578(X0,X1,X2)),bG1201(sK4579(X0,X1,X2))) = X2 | ~sP2199(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43229])).
% 58.08/9.38 tff(f43229,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1202(sK4578(X0,X1,X2)),bG1203(sK4579(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(sK4578(X0,X1,X2)),bG1201(sK4579(X0,X1,X2))) = X2) | ~sP2199(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4578,sK4579])],[f43227,f43228])).
% 58.08/9.38 tff(f43228,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1202(X3),bG1203(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(X3),bG1201(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1202(sK4578(X0,X1,X2)),bG1203(sK4579(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(sK4578(X0,X1,X2)),bG1201(sK4579(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43227,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1202(X3),bG1203(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(X3),bG1201(X4)) = X2) | ~sP2199(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43226])).
% 58.08/9.38 tff(f43226,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1202(X3),bG1203(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(X3),bG1201(X4)) = X0) | ~sP2199(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37495])).
% 58.08/9.38 tff(f37495,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1202(X3),bG1203(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1200(X3),bG1201(X4)) = X0) | ~sP2199(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2199])])).
% 58.08/9.38 tff(f112138,plain,(
% 58.08/9.38 spl5880_5166),
% 58.08/9.38 inference(avatar_split_clause,[],[f60745,f112136])).
% 58.08/9.38 tff(f112136,plain,(
% 58.08/9.38 spl5880_5166 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1204(sK4576(X0,X1,X2)),bG1205(sK4577(X0,X1,X2))) = X2 | ~sP2200(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5166])])).
% 58.08/9.38 tff(f60745,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1204(sK4576(X0,X1,X2)),bG1205(sK4577(X0,X1,X2))) = X2 | ~sP2200(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43225])).
% 58.08/9.38 tff(f43225,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1206(sK4576(X0,X1,X2)),bG1207(sK4577(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(sK4576(X0,X1,X2)),bG1205(sK4577(X0,X1,X2))) = X2) | ~sP2200(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4576,sK4577])],[f43223,f43224])).
% 58.08/9.38 tff(f43224,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1206(X3),bG1207(X4))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(X3),bG1205(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1206(sK4576(X0,X1,X2)),bG1207(sK4577(X0,X1,X2)))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(sK4576(X0,X1,X2)),bG1205(sK4577(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43223,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1206(X3),bG1207(X4))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(X3),bG1205(X4)) = X2) | ~sP2200(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43222])).
% 58.08/9.38 tff(f43222,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1206(X5),bG1207(X6))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(X5),bG1205(X6)) = X0) | ~sP2200(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37496])).
% 58.08/9.38 tff(f37496,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1206(X5),bG1207(X6))),aa(nat,nat,suc,zero_zero(nat))))) & one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1204(X5),bG1205(X6)) = X0) | ~sP2200(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2200])])).
% 58.08/9.38 tff(f112134,plain,(
% 58.08/9.38 spl5880_5165),
% 58.08/9.38 inference(avatar_split_clause,[],[f60741,f112132])).
% 58.08/9.38 tff(f112132,plain,(
% 58.08/9.38 spl5880_5165 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1208(sK4573(X0,X1,X2)),bG1209(sK4574(X0,X1,X2))) = X2 | ~sP2201(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5165])])).
% 58.08/9.38 tff(f60741,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1208(sK4573(X0,X1,X2)),bG1209(sK4574(X0,X1,X2))) = X2 | ~sP2201(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43221])).
% 58.08/9.38 tff(f43221,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1210(sK4573(X0,X1,X2)),bG1211(sK4574(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4575(X0,X1,X2)))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4575(X0,X1,X2))) = X1) & vEBT_Leaf(bG1208(sK4573(X0,X1,X2)),bG1209(sK4574(X0,X1,X2))) = X2) | ~sP2201(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4573,sK4574,sK4575])],[f43218,f43220,f43219])).
% 58.08/9.38 tff(f43219,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1210(X3),bG1211(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1208(X3),bG1209(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1210(sK4573(X0,X1,X2)),bG1211(sK4574(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1208(sK4573(X0,X1,X2)),bG1209(sK4574(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43220,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1210(sK4573(X0,X1,X2)),bG1211(sK4574(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1210(sK4573(X0,X1,X2)),bG1211(sK4574(X0,X1,X2)))),aa(nat,nat,suc,aa(nat,nat,suc,sK4575(X0,X1,X2)))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4575(X0,X1,X2))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43218,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1210(X3),bG1211(X4))),aa(nat,nat,suc,aa(nat,nat,suc,X5))))) & one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1) & vEBT_Leaf(bG1208(X3),bG1209(X4)) = X2) | ~sP2201(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43217])).
% 58.08/9.38 tff(f43217,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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(bG1210(X7),bG1211(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & one_one(nat) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1208(X7),bG1209(X8)) = X0) | ~sP2201(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37497])).
% 58.08/9.38 tff(f37497,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (? [X9 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1210(X7),bG1211(X8))),aa(nat,nat,suc,aa(nat,nat,suc,X9))))) & one_one(nat) = X2 & aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1) & vEBT_Leaf(bG1208(X7),bG1209(X8)) = X0) | ~sP2201(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2201])])).
% 58.08/9.38 tff(f112130,plain,(
% 58.08/9.38 spl5880_5164),
% 58.08/9.38 inference(avatar_split_clause,[],[f60726,f112128])).
% 58.08/9.38 tff(f112128,plain,(
% 58.08/9.38 spl5880_5164 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1190(sK4557(X0,X1,X2)),bG1191(sK4558(X0,X1,X2))) = X2 | ~sP2195(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5164])])).
% 58.08/9.38 tff(f60726,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1190(sK4557(X0,X1,X2)),bG1191(sK4558(X0,X1,X2))) = X2 | ~sP2195(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43201])).
% 58.08/9.38 tff(f43201,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(bG1193(sK4557(X0,X1,X2)),bG1194(sK4558(X0,X1,X2)))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X0)) = X1 & vEBT_Leaf(bG1190(sK4557(X0,X1,X2)),bG1191(sK4558(X0,X1,X2))) = X2) | ~sP2195(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4557,sK4558])],[f43199,f43200])).
% 58.08/9.38 tff(f43200,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1193(X3),bG1194(X4))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X0)) = X1 & vEBT_Leaf(bG1190(X3),bG1191(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(bG1193(sK4557(X0,X1,X2)),bG1194(sK4558(X0,X1,X2)))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X0)) = X1 & vEBT_Leaf(bG1190(sK4557(X0,X1,X2)),bG1191(sK4558(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43199,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(bG1193(X3),bG1194(X4))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X0)) = X1 & vEBT_Leaf(bG1190(X3),bG1191(X4)) = X2) | ~sP2195(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43198])).
% 58.08/9.38 tff(f43198,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(bG1193(X3),bG1194(X4))),X1))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X1)) = X2 & vEBT_Leaf(bG1190(X3),bG1191(X4)) = X0) | ~sP2195(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37490])).
% 58.08/9.38 tff(f37490,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(bG1193(X3),bG1194(X4))),X1))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1192(X1)) = X2 & vEBT_Leaf(bG1190(X3),bG1191(X4)) = X0) | ~sP2195(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2195])])).
% 58.08/9.38 tff(f112124,plain,(
% 58.08/9.38 spl5880_5163),
% 58.08/9.38 inference(avatar_split_clause,[],[f60704,f112122])).
% 58.08/9.38 tff(f112122,plain,(
% 58.08/9.38 spl5880_5163 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1179(sK4533(X0,X1,X2)),bG1180(sK4534(X0,X1,X2))) = X2 | ~sP2192(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5163])])).
% 58.08/9.38 tff(f60704,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1179(sK4533(X0,X1,X2)),bG1180(sK4534(X0,X1,X2))) = X2 | ~sP2192(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43173])).
% 58.08/9.38 tff(f43173,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(sK4534(X0,X1,X2))) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4535(X1))) = X1 & vEBT_Leaf(bG1179(sK4533(X0,X1,X2)),bG1180(sK4534(X0,X1,X2))) = X2) | ~sP2192(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4533,sK4534,sK4535])],[f43170,f43172,f43171])).
% 58.08/9.38 tff(f43171,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(X4)) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1179(X3),bG1180(X4)) = X2) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(sK4534(X0,X1,X2))) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1179(sK4533(X0,X1,X2)),bG1180(sK4534(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43172,plain,(
% 58.08/9.38 ! [X1 : nat] : (? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 => aa(nat,nat,suc,aa(nat,nat,suc,sK4535(X1))) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43170,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(X4)) = X0 & ? [X5 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X5)) = X1 & vEBT_Leaf(bG1179(X3),bG1180(X4)) = X2) | ~sP2192(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43169])).
% 58.08/9.38 tff(f43169,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(X8)) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1179(X7),bG1180(X8)) = X0) | ~sP2192(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37486])).
% 58.08/9.38 tff(f37486,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X7 : $o,X8 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1181(X8)) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & vEBT_Leaf(bG1179(X7),bG1180(X8)) = X0) | ~sP2192(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2192])])).
% 58.08/9.38 tff(f112120,plain,(
% 58.08/9.38 spl5880_5162),
% 58.08/9.38 inference(avatar_split_clause,[],[f60666,f112118])).
% 58.08/9.38 tff(f112118,plain,(
% 58.08/9.38 spl5880_5162 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1139(sK4483(X0,X1,X2)),bG1140(sK4484(X0,X1,X2))) = X2 | ~sP2177(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5162])])).
% 58.08/9.38 tff(f60666,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1139(sK4483(X0,X1,X2)),bG1140(sK4484(X0,X1,X2))) = X2 | ~sP2177(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43116])).
% 58.08/9.38 tff(f43116,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(sK4483(X0,X1,X2)),bG1142(sK4484(X0,X1,X2)))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(sK4483(X0,X1,X2)),bG1140(sK4484(X0,X1,X2))) = X2) | ~sP2177(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4483,sK4484])],[f43114,f43115])).
% 58.08/9.38 tff(f43115,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(X3),bG1142(X4))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(X3),bG1140(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(sK4483(X0,X1,X2)),bG1142(sK4484(X0,X1,X2)))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(sK4483(X0,X1,X2)),bG1140(sK4484(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43114,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(X3),bG1142(X4))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(X3),bG1140(X4)) = X2) | ~sP2177(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43113])).
% 58.08/9.38 tff(f43113,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(X3),bG1142(X4))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(X3),bG1140(X4)) = X0) | ~sP2177(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37468])).
% 58.08/9.38 tff(f37468,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1141(X3),bG1142(X4))),zero_zero(nat)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1139(X3),bG1140(X4)) = X0) | ~sP2177(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2177])])).
% 58.08/9.38 tff(f112116,plain,(
% 58.08/9.38 spl5880_5161),
% 58.08/9.38 inference(avatar_split_clause,[],[f60662,f112114])).
% 58.08/9.38 tff(f112114,plain,(
% 58.08/9.38 spl5880_5161 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1143(sK4480(X0,X1,X2)),bG1144(sK4481(X0,X1,X2))) = X2 | ~sP2178(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5161])])).
% 58.08/9.38 tff(f60662,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1143(sK4480(X0,X1,X2)),bG1144(sK4481(X0,X1,X2))) = X2 | ~sP2178(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43112])).
% 58.08/9.38 tff(f43112,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(sK4480(X0,X1,X2)),bG1146(sK4481(X0,X1,X2)))),aa(nat,nat,suc,sK4482(X0,X1,X2))))) & one_one(nat) = X0 & aa(nat,nat,suc,sK4482(X0,X1,X2)) = X1) & vEBT_Leaf(bG1143(sK4480(X0,X1,X2)),bG1144(sK4481(X0,X1,X2))) = X2) | ~sP2178(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4480,sK4481,sK4482])],[f43109,f43111,f43110])).
% 58.08/9.38 tff(f43110,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(X3),bG1146(X4))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1143(X3),bG1144(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(sK4480(X0,X1,X2)),bG1146(sK4481(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1143(sK4480(X0,X1,X2)),bG1144(sK4481(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43111,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(sK4480(X0,X1,X2)),bG1146(sK4481(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(sK4480(X0,X1,X2)),bG1146(sK4481(X0,X1,X2)))),aa(nat,nat,suc,sK4482(X0,X1,X2))))) & one_one(nat) = X0 & aa(nat,nat,suc,sK4482(X0,X1,X2)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43109,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(X3),bG1146(X4))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1143(X3),bG1144(X4)) = X2) | ~sP2178(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43108])).
% 58.08/9.38 tff(f43108,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(X5),bG1146(X6))),aa(nat,nat,suc,X7)))) & one_one(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1143(X5),bG1144(X6)) = X0) | ~sP2178(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37469])).
% 58.08/9.38 tff(f37469,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1145(X5),bG1146(X6))),aa(nat,nat,suc,X7)))) & one_one(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1143(X5),bG1144(X6)) = X0) | ~sP2178(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2178])])).
% 58.08/9.38 tff(f112112,plain,(
% 58.08/9.38 spl5880_5160),
% 58.08/9.38 inference(avatar_split_clause,[],[f60646,f112110])).
% 58.08/9.38 tff(f112110,plain,(
% 58.08/9.38 spl5880_5160 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1125(sK4464(X0,X1,X2)),bG1126(sK4465(X0,X1,X2))) = X2 | ~sP2172(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5160])])).
% 58.08/9.38 tff(f60646,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1125(sK4464(X0,X1,X2)),bG1126(sK4465(X0,X1,X2))) = X2 | ~sP2172(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43092])).
% 58.08/9.38 tff(f43092,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1127(sK4464(X0,X1,X2)),bG1128(sK4465(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(sK4464(X0,X1,X2)),bG1126(sK4465(X0,X1,X2))) = X2) | ~sP2172(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4464,sK4465])],[f43090,f43091])).
% 58.08/9.38 tff(f43091,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1127(X3),bG1128(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(X3),bG1126(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1127(sK4464(X0,X1,X2)),bG1128(sK4465(X0,X1,X2)))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(sK4464(X0,X1,X2)),bG1126(sK4465(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43090,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1127(X3),bG1128(X4))),zero_zero(nat)))) & one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(X3),bG1126(X4)) = X2) | ~sP2172(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43089])).
% 58.08/9.38 tff(f43089,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1127(X3),bG1128(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(X3),bG1126(X4)) = X0) | ~sP2172(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37462])).
% 58.08/9.38 tff(f37462,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1127(X3),bG1128(X4))),zero_zero(nat)))) & one_one(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(bG1125(X3),bG1126(X4)) = X0) | ~sP2172(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2172])])).
% 58.08/9.38 tff(f112108,plain,(
% 58.08/9.38 spl5880_5159),
% 58.08/9.38 inference(avatar_split_clause,[],[f60642,f112106])).
% 58.08/9.38 tff(f112106,plain,(
% 58.08/9.38 spl5880_5159 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1129(sK4461(X0,X1,X2)),bG1130(sK4462(X0,X1,X2))) = X2 | ~sP2173(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5159])])).
% 58.08/9.38 tff(f60642,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1129(sK4461(X0,X1,X2)),bG1130(sK4462(X0,X1,X2))) = X2 | ~sP2173(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43088])).
% 58.08/9.38 tff(f43088,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1131(sK4461(X0,X1,X2)),bG1132(sK4462(X0,X1,X2)))),aa(nat,nat,suc,sK4463(X0,X1,X2))))) & one_one(nat) = X0 & aa(nat,nat,suc,sK4463(X0,X1,X2)) = X1) & vEBT_Leaf(bG1129(sK4461(X0,X1,X2)),bG1130(sK4462(X0,X1,X2))) = X2) | ~sP2173(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4461,sK4462,sK4463])],[f43085,f43087,f43086])).
% 58.08/9.38 tff(f43086,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1131(X3),bG1132(X4))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1129(X3),bG1130(X4)) = X2) => (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1131(sK4461(X0,X1,X2)),bG1132(sK4462(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1129(sK4461(X0,X1,X2)),bG1130(sK4462(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43087,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1131(sK4461(X0,X1,X2)),bG1132(sK4462(X0,X1,X2)))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1131(sK4461(X0,X1,X2)),bG1132(sK4462(X0,X1,X2)))),aa(nat,nat,suc,sK4463(X0,X1,X2))))) & one_one(nat) = X0 & aa(nat,nat,suc,sK4463(X0,X1,X2)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43085,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (? [X5 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1131(X3),bG1132(X4))),aa(nat,nat,suc,X5)))) & one_one(nat) = X0 & aa(nat,nat,suc,X5) = X1) & vEBT_Leaf(bG1129(X3),bG1130(X4)) = X2) | ~sP2173(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43084])).
% 58.08/9.38 tff(f43084,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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(bG1131(X5),bG1132(X6))),aa(nat,nat,suc,X7)))) & one_one(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1129(X5),bG1130(X6)) = X0) | ~sP2173(X2,X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37463])).
% 58.08/9.38 tff(f37463,plain,(
% 58.08/9.38 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : $o,X6 : $o] : (? [X7 : nat] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1131(X5),bG1132(X6))),aa(nat,nat,suc,X7)))) & one_one(nat) = X2 & aa(nat,nat,suc,X7) = X1) & vEBT_Leaf(bG1129(X5),bG1130(X6)) = X0) | ~sP2173(X2,X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2173])])).
% 58.08/9.38 tff(f112104,plain,(
% 58.08/9.38 spl5880_5158),
% 58.08/9.38 inference(avatar_split_clause,[],[f60627,f112102])).
% 58.08/9.38 tff(f112102,plain,(
% 58.08/9.38 spl5880_5158 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1116(sK4445(X0,X1,X2)),bG1117(sK4446(X0,X1,X2))) = X2 | ~sP2168(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5158])])).
% 58.08/9.38 tff(f60627,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1116(sK4445(X0,X1,X2)),bG1117(sK4446(X0,X1,X2))) = X2 | ~sP2168(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f43068])).
% 58.08/9.38 tff(f43068,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(bG1118(sK4445(X0,X1,X2)),bG1119(sK4446(X0,X1,X2)))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1116(sK4445(X0,X1,X2)),bG1117(sK4446(X0,X1,X2))) = X2) | ~sP2168(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4445,sK4446])],[f43066,f43067])).
% 58.08/9.38 tff(f43067,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1118(X3),bG1119(X4))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1116(X3),bG1117(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(bG1118(sK4445(X0,X1,X2)),bG1119(sK4446(X0,X1,X2)))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1116(sK4445(X0,X1,X2)),bG1117(sK4446(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f43066,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(bG1118(X3),bG1119(X4))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1116(X3),bG1117(X4)) = X2) | ~sP2168(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f43065])).
% 58.08/9.38 tff(f43065,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(bG1118(X3),bG1119(X4))),X1))) & one_one(nat) = X2 & vEBT_Leaf(bG1116(X3),bG1117(X4)) = X0) | ~sP2168(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37457])).
% 58.08/9.38 tff(f37457,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1118(X3),bG1119(X4))),X1))) & one_one(nat) = X2 & vEBT_Leaf(bG1116(X3),bG1117(X4)) = X0) | ~sP2168(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2168])])).
% 58.08/9.38 tff(f112100,plain,(
% 58.08/9.38 spl5880_5157),
% 58.08/9.38 inference(avatar_split_clause,[],[f60574,f112098])).
% 58.08/9.38 tff(f112098,plain,(
% 58.08/9.38 spl5880_5157 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1076(sK4375(X0,X1,X2)),bG1077(sK4376(X0,X1,X2))) = X2 | ~sP2153(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5157])])).
% 58.08/9.38 tff(f60574,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1076(sK4375(X0,X1,X2)),bG1077(sK4376(X0,X1,X2))) = X2 | ~sP2153(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42991])).
% 58.08/9.38 tff(f42991,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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(bG1079(sK4375(X0,X1,X2)),bG1080(sK4376(X0,X1,X2)))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X0)) = X1 & vEBT_Leaf(bG1076(sK4375(X0,X1,X2)),bG1077(sK4376(X0,X1,X2))) = X2) | ~sP2153(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4375,sK4376])],[f42989,f42990])).
% 58.08/9.38 tff(f42990,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1079(X3),bG1080(X4))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X0)) = X1 & vEBT_Leaf(bG1076(X3),bG1077(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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(bG1079(sK4375(X0,X1,X2)),bG1080(sK4376(X0,X1,X2)))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X0)) = X1 & vEBT_Leaf(bG1076(sK4375(X0,X1,X2)),bG1077(sK4376(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42989,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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(bG1079(X3),bG1080(X4))),X0))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X0)) = X1 & vEBT_Leaf(bG1076(X3),bG1077(X4)) = X2) | ~sP2153(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f42988])).
% 58.08/9.38 tff(f42988,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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(bG1079(X3),bG1080(X4))),X1))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X1)) = X2 & vEBT_Leaf(bG1076(X3),bG1077(X4)) = X0) | ~sP2153(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37438])).
% 58.08/9.38 tff(f37438,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1079(X3),bG1080(X4))),X1))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1078(X1)) = X2 & vEBT_Leaf(bG1076(X3),bG1077(X4)) = X0) | ~sP2153(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2153])])).
% 58.08/9.38 tff(f112096,plain,(
% 58.08/9.38 spl5880_5156),
% 58.08/9.38 inference(avatar_split_clause,[],[f60549,f112094])).
% 58.08/9.38 tff(f112094,plain,(
% 58.08/9.38 spl5880_5156 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1056(sK4343(X0,X1,X2)),bG1057(sK4344(X0,X1,X2))) = X2 | ~sP2146(X0,X1,X2))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5156])])).
% 58.08/9.38 tff(f60549,plain,(
% 58.08/9.38 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1056(sK4343(X0,X1,X2)),bG1057(sK4344(X0,X1,X2))) = X2 | ~sP2146(X0,X1,X2)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42955])).
% 58.08/9.38 tff(f42955,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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(bG1058(sK4343(X0,X1,X2)),bG1059(sK4344(X0,X1,X2)))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1056(sK4343(X0,X1,X2)),bG1057(sK4344(X0,X1,X2))) = X2) | ~sP2146(X0,X1,X2))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4343,sK4344])],[f42953,f42954])).
% 58.08/9.38 tff(f42954,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1058(X3),bG1059(X4))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1056(X3),bG1057(X4)) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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(bG1058(sK4343(X0,X1,X2)),bG1059(sK4344(X0,X1,X2)))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1056(sK4343(X0,X1,X2)),bG1057(sK4344(X0,X1,X2))) = X2))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42953,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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(bG1058(X3),bG1059(X4))),X0))) & one_one(nat) = X1 & vEBT_Leaf(bG1056(X3),bG1057(X4)) = X2) | ~sP2146(X0,X1,X2))),
% 58.08/9.38 inference(rectify,[],[f42952])).
% 58.08/9.38 tff(f42952,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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(bG1058(X3),bG1059(X4))),X1))) & one_one(nat) = X2 & vEBT_Leaf(bG1056(X3),bG1057(X4)) = X0) | ~sP2146(X1,X2,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37429])).
% 58.08/9.38 tff(f37429,plain,(
% 58.08/9.38 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG1058(X3),bG1059(X4))),X1))) & one_one(nat) = X2 & vEBT_Leaf(bG1056(X3),bG1057(X4)) = X0) | ~sP2146(X1,X2,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2146])])).
% 58.08/9.38 tff(f112092,plain,(
% 58.08/9.38 spl5880_5155),
% 58.08/9.38 inference(avatar_split_clause,[],[f60387,f112090])).
% 58.08/9.38 tff(f112090,plain,(
% 58.08/9.38 spl5880_5155 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5155])])).
% 58.08/9.38 tff(f60387,plain,(
% 58.08/9.38 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f35035])).
% 58.08/9.38 tff(f35035,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.38 inference(flattening,[],[f35034])).
% 58.08/9.38 tff(f35034,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (((vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X2))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.38 inference(ennf_transformation,[],[f17278])).
% 58.08/9.38 tff(f17278,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => (($true = aa(nat,$o,vEBT_vebt_member(X0),X2)) => (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2))))),
% 58.08/9.38 inference(fool_elimination,[],[f17277])).
% 58.08/9.38 tff(f17277,plain,(
% 58.08/9.38 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => (aa(nat,$o,vEBT_vebt_member(X0),X2) => (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2))))),
% 58.08/9.38 inference(rectify,[],[f1556])).
% 58.08/9.38 tff(f1556,axiom,(
% 58.08/9.38 ! [X33 : vEBT_VEBT,X8 : nat,X9 : nat] : (vEBT_invar_vebt(X33,X8) => (aa(nat,$o,vEBT_vebt_member(X33),X9) => (vEBT_VEBT_membermima(X33,X9) | vEBT_V5719532721284313246member(X33,X9))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1555_member__valid__both__member__options)).
% 58.08/9.38 tff(f112088,plain,(
% 58.08/9.38 spl5880_5154),
% 58.08/9.38 inference(avatar_split_clause,[],[f60370,f112086])).
% 58.08/9.38 tff(f112086,plain,(
% 58.08/9.38 spl5880_5154 <=> ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (inj_on(nat,X0,nth(X0,X1),X2) | member(nat,sK4281(X0,X1,X2),X2) | ~distinct(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5154])])).
% 58.08/9.38 tff(f60370,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (inj_on(nat,X0,nth(X0,X1),X2) | member(nat,sK4281(X0,X1,X2),X2) | ~distinct(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42852])).
% 58.08/9.38 tff(f42852,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (inj_on(nat,X0,nth(X0,X1),X2) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4281(X0,X1,X2)),aa(list(X0),nat,size_size(list(X0)),X1))) & member(nat,sK4281(X0,X1,X2),X2)) | ~distinct(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4281])],[f35006,f42851])).
% 58.08/9.38 tff(f42851,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) & member(nat,X3,X2)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4281(X0,X1,X2)),aa(list(X0),nat,size_size(list(X0)),X1))) & member(nat,sK4281(X0,X1,X2),X2)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f35006,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (inj_on(nat,X0,nth(X0,X1),X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) & member(nat,X3,X2)) | ~distinct(X0,X1))),
% 58.08/9.38 inference(flattening,[],[f35005])).
% 58.08/9.38 tff(f35005,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : ((inj_on(nat,X0,nth(X0,X1),X2) | ? [X3 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) & member(nat,X3,X2))) | ~distinct(X0,X1))),
% 58.08/9.38 inference(ennf_transformation,[],[f17260])).
% 58.08/9.38 tff(f17260,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (distinct(X0,X1) => (! [X3 : nat] : (member(nat,X3,X2) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) => inj_on(nat,X0,nth(X0,X1),X2)))),
% 58.08/9.38 inference(fool_elimination,[],[f17259])).
% 58.08/9.38 tff(f17259,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (distinct(X0,X1) => (! [X3 : nat] : (member(nat,X3,X2) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => inj_on(nat,X0,nth(X0,X1),X2)))),
% 58.08/9.38 inference(rectify,[],[f6995])).
% 58.08/9.38 tff(f6995,axiom,(
% 58.08/9.38 ! [X0 : $tType,X64 : list(X0),X224 : set(nat)] : (distinct(X0,X64) => (! [X29 : nat] : (member(nat,X29,X224) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X29),aa(list(X0),nat,size_size(list(X0)),X64))) => inj_on(nat,X0,nth(X0,X64),X224)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6994_inj__on__nth)).
% 58.08/9.38 tff(f112083,plain,(
% 58.08/9.38 spl5880_5153),
% 58.08/9.38 inference(avatar_split_clause,[],[f60343,f112081])).
% 58.08/9.38 tff(f112081,plain,(
% 58.08/9.38 spl5880_5153 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (one_one(X1) != aa(X2,X1,X0,sK4271(X1,X2,X0,X3)) | ~sP2133(X1,X2,X0,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5153])])).
% 58.08/9.38 tff(f60343,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (one_one(X1) != aa(X2,X1,X0,sK4271(X1,X2,X0,X3)) | ~sP2133(X1,X2,X0,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42824])).
% 58.08/9.38 tff(f42824,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((one_one(X1) != aa(X2,X1,X0,sK4271(X1,X2,X0,X3)) & member(X2,sK4271(X1,X2,X0,X3),X3)) | ~sP2133(X1,X2,X0,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4271])],[f42822,f42823])).
% 58.08/9.38 tff(f42823,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2] : (one_one(X1) != aa(X2,X1,X0,X4) & member(X2,X4,X3)) => (one_one(X1) != aa(X2,X1,X0,sK4271(X1,X2,X0,X3)) & member(X2,sK4271(X1,X2,X0,X3),X3)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42822,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (one_one(X1) != aa(X2,X1,X0,X4) & member(X2,X4,X3)) | ~sP2133(X1,X2,X0,X3))),
% 58.08/9.38 inference(rectify,[],[f42821])).
% 58.08/9.38 tff(f42821,plain,(
% 58.08/9.38 ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (one_one(X1) != aa(X0,X1,X9,X15) & member(X0,X15,X3)) | ~sP2133(X1,X0,X9,X3))),
% 58.08/9.38 inference(nnf_transformation,[],[f37408])).
% 58.08/9.38 tff(f37408,plain,(
% 58.08/9.38 ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (one_one(X1) != aa(X0,X1,X9,X15) & member(X0,X15,X3)) | ~sP2133(X1,X0,X9,X3))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2133])])).
% 58.08/9.38 tff(f112079,plain,(
% 58.08/9.38 spl5880_5152),
% 58.08/9.38 inference(avatar_split_clause,[],[f60331,f112077])).
% 58.08/9.38 tff(f112077,plain,(
% 58.08/9.38 spl5880_5152 <=> ! [X1 : $tType,X4 : $tType,X2 : $tType,X0 : fun(X2,X1),X5 : set(X2),X3 : fun(X1,X4)] : (member(X2,sK4268(X1,X2,X4,X0,X3,X5),X5) | ~sP2128(X1,X2,X4,X0,X3,X5))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5152])])).
% 58.08/9.38 tff(f60331,plain,(
% 58.08/9.38 ( ! [X4 : $tType,X1 : $tType,X2 : $tType,X3 : fun(X1,X4),X0 : fun(X2,X1),X5 : set(X2)] : (member(X2,sK4268(X1,X2,X4,X0,X3,X5),X5) | ~sP2128(X1,X2,X4,X0,X3,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42816])).
% 58.08/9.38 tff(f42816,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X4),X4 : $tType,X5 : set(X2)] : ((one_one(X4) != aa(X1,X4,X3,aa(X2,X1,X0,sK4267(X1,X2,X4,X0,X3,X5))) & aa(X2,X1,X0,sK4267(X1,X2,X4,X0,X3,X5)) = aa(X2,X1,X0,sK4268(X1,X2,X4,X0,X3,X5)) & sK4267(X1,X2,X4,X0,X3,X5) != sK4268(X1,X2,X4,X0,X3,X5) & member(X2,sK4268(X1,X2,X4,X0,X3,X5),X5) & member(X2,sK4267(X1,X2,X4,X0,X3,X5),X5)) | ~sP2128(X1,X2,X4,X0,X3,X5))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4267,sK4268])],[f42814,f42815])).
% 58.08/9.38 tff(f42815,plain,(
% 58.08/9.38 ! [X4 : $tType,X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X1,X4),X5 : set(X2)] : (? [X6 : X2,X7 : X2] : (one_one(X4) != aa(X1,X4,X3,aa(X2,X1,X0,X6)) & aa(X2,X1,X0,X6) = aa(X2,X1,X0,X7) & X6 != X7 & member(X2,X7,X5) & member(X2,X6,X5)) => (one_one(X4) != aa(X1,X4,X3,aa(X2,X1,X0,sK4267(X1,X2,X4,X0,X3,X5))) & aa(X2,X1,X0,sK4267(X1,X2,X4,X0,X3,X5)) = aa(X2,X1,X0,sK4268(X1,X2,X4,X0,X3,X5)) & sK4267(X1,X2,X4,X0,X3,X5) != sK4268(X1,X2,X4,X0,X3,X5) & member(X2,sK4268(X1,X2,X4,X0,X3,X5),X5) & member(X2,sK4267(X1,X2,X4,X0,X3,X5),X5)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42814,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X4),X4 : $tType,X5 : set(X2)] : (? [X6 : X2,X7 : X2] : (one_one(X4) != aa(X1,X4,X3,aa(X2,X1,X0,X6)) & aa(X2,X1,X0,X6) = aa(X2,X1,X0,X7) & X6 != X7 & member(X2,X7,X5) & member(X2,X6,X5)) | ~sP2128(X1,X2,X4,X0,X3,X5))),
% 58.08/9.38 inference(rectify,[],[f42813])).
% 58.08/9.38 tff(f42813,plain,(
% 58.08/9.38 ! [X4 : fun(X2,X0),X0 : $tType,X2 : $tType,X5 : fun(X0,X1),X1 : $tType,X3 : set(X2)] : (? [X6 : X2,X7 : X2] : (one_one(X1) != aa(X0,X1,X5,aa(X2,X0,X4,X6)) & aa(X2,X0,X4,X6) = aa(X2,X0,X4,X7) & X6 != X7 & member(X2,X7,X3) & member(X2,X6,X3)) | ~sP2128(X0,X2,X1,X4,X5,X3))),
% 58.08/9.38 inference(nnf_transformation,[],[f37402])).
% 58.08/9.38 tff(f37402,plain,(
% 58.08/9.38 ! [X4 : fun(X2,X0),X0 : $tType,X2 : $tType,X5 : fun(X0,X1),X1 : $tType,X3 : set(X2)] : (? [X6 : X2,X7 : X2] : (one_one(X1) != aa(X0,X1,X5,aa(X2,X0,X4,X6)) & aa(X2,X0,X4,X6) = aa(X2,X0,X4,X7) & X6 != X7 & member(X2,X7,X3) & member(X2,X6,X3)) | ~sP2128(X0,X2,X1,X4,X5,X3))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2128])])).
% 58.08/9.38 tff(f112075,plain,(
% 58.08/9.38 spl5880_5151),
% 58.08/9.38 inference(avatar_split_clause,[],[f60330,f112073])).
% 58.08/9.38 tff(f112073,plain,(
% 58.08/9.38 spl5880_5151 <=> ! [X1 : $tType,X4 : $tType,X2 : $tType,X0 : fun(X2,X1),X5 : set(X2),X3 : fun(X1,X4)] : (member(X2,sK4267(X1,X2,X4,X0,X3,X5),X5) | ~sP2128(X1,X2,X4,X0,X3,X5))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5151])])).
% 58.08/9.38 tff(f60330,plain,(
% 58.08/9.38 ( ! [X4 : $tType,X1 : $tType,X2 : $tType,X3 : fun(X1,X4),X0 : fun(X2,X1),X5 : set(X2)] : (member(X2,sK4267(X1,X2,X4,X0,X3,X5),X5) | ~sP2128(X1,X2,X4,X0,X3,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42816])).
% 58.08/9.38 tff(f112071,plain,(
% 58.08/9.38 spl5880_5150),
% 58.08/9.38 inference(avatar_split_clause,[],[f60316,f112069])).
% 58.08/9.38 tff(f112069,plain,(
% 58.08/9.38 spl5880_5150 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (zero_zero(X1) != aa(X2,X1,X0,sK4260(X1,X2,X0,X3)) | ~sP2127(X1,X2,X0,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5150])])).
% 58.08/9.38 tff(f60316,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (zero_zero(X1) != aa(X2,X1,X0,sK4260(X1,X2,X0,X3)) | ~sP2127(X1,X2,X0,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42792])).
% 58.08/9.38 tff(f42792,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((zero_zero(X1) != aa(X2,X1,X0,sK4260(X1,X2,X0,X3)) & member(X2,sK4260(X1,X2,X0,X3),X3)) | ~sP2127(X1,X2,X0,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4260])],[f42790,f42791])).
% 58.08/9.38 tff(f42791,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2] : (zero_zero(X1) != aa(X2,X1,X0,X4) & member(X2,X4,X3)) => (zero_zero(X1) != aa(X2,X1,X0,sK4260(X1,X2,X0,X3)) & member(X2,sK4260(X1,X2,X0,X3),X3)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42790,plain,(
% 58.08/9.38 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (zero_zero(X1) != aa(X2,X1,X0,X4) & member(X2,X4,X3)) | ~sP2127(X1,X2,X0,X3))),
% 58.08/9.38 inference(rectify,[],[f42789])).
% 58.08/9.38 tff(f42789,plain,(
% 58.08/9.38 ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (zero_zero(X1) != aa(X0,X1,X9,X15) & member(X0,X15,X3)) | ~sP2127(X1,X0,X9,X3))),
% 58.08/9.38 inference(nnf_transformation,[],[f37400])).
% 58.08/9.38 tff(f37400,plain,(
% 58.08/9.38 ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (zero_zero(X1) != aa(X0,X1,X9,X15) & member(X0,X15,X3)) | ~sP2127(X1,X0,X9,X3))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2127])])).
% 58.08/9.38 tff(f112067,plain,(
% 58.08/9.38 spl5880_5149),
% 58.08/9.38 inference(avatar_split_clause,[],[f60282,f112065])).
% 58.08/9.38 tff(f112065,plain,(
% 58.08/9.38 spl5880_5149 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5149])])).
% 58.08/9.38 tff(f60282,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f26483])).
% 58.08/9.38 tff(f26483,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2)))),
% 58.08/9.38 inference(flattening,[],[f17236])).
% 58.08/9.38 tff(f17236,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = X2 | ~($true = aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2)))),
% 58.08/9.38 inference(fool_elimination,[],[f17235])).
% 58.08/9.38 tff(f17235,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = X2 | ~aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2))),
% 58.08/9.38 inference(rectify,[],[f9821])).
% 58.08/9.38 tff(f9821,axiom,(
% 58.08/9.38 ! [X0 : $tType,X465 : X0,X18 : X0] : (X18 = X465 | ~aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X465),X18))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_T)).
% 58.08/9.38 tff(f112063,plain,(
% 58.08/9.38 spl5880_5148),
% 58.08/9.38 inference(avatar_split_clause,[],[f59992,f112061])).
% 58.08/9.38 tff(f112061,plain,(
% 58.08/9.38 spl5880_5148 <=> ! [X0 : nat,X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),divide_divide(nat,X0,X1)),X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5148])])).
% 58.08/9.38 tff(f59992,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),divide_divide(nat,X0,X1)),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f16994])).
% 58.08/9.38 tff(f16994,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),divide_divide(nat,X0,X1)),X0))),
% 58.08/9.38 inference(fool_elimination,[],[f16993])).
% 58.08/9.38 tff(f16993,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),divide_divide(nat,X0,X1)),X0)),
% 58.08/9.38 inference(rectify,[],[f246])).
% 58.08/9.38 tff(f246,axiom,(
% 58.08/9.38 ! [X15 : nat,X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),divide_divide(nat,X15,X8)),X15)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_div__le__dividend)).
% 58.08/9.38 tff(f112059,plain,(
% 58.08/9.38 spl5880_5147),
% 58.08/9.38 inference(avatar_split_clause,[],[f59991,f112057])).
% 58.08/9.38 tff(f112057,plain,(
% 58.08/9.38 spl5880_5147 <=> ! [X0 : nat,X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),modulo_modulo(nat,X0,X1)),X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5147])])).
% 58.08/9.38 tff(f59991,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),modulo_modulo(nat,X0,X1)),X0))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f16992])).
% 58.08/9.38 tff(f16992,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),modulo_modulo(nat,X0,X1)),X0))),
% 58.08/9.38 inference(fool_elimination,[],[f16991])).
% 58.08/9.38 tff(f16991,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),modulo_modulo(nat,X0,X1)),X0)),
% 58.08/9.38 inference(rectify,[],[f402])).
% 58.08/9.38 tff(f402,axiom,(
% 58.08/9.38 ! [X15 : nat,X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),modulo_modulo(nat,X15,X8)),X15)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_401_mod__less__eq__dividend)).
% 58.08/9.38 tff(f112055,plain,(
% 58.08/9.38 spl5880_5146),
% 58.08/9.38 inference(avatar_split_clause,[],[f59733,f112053])).
% 58.08/9.38 tff(f112053,plain,(
% 58.08/9.38 spl5880_5146 <=> ! [X0 : set(int),X1 : int] : (member(int,X1,X0) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5146])])).
% 58.08/9.38 tff(f59733,plain,(
% 58.08/9.38 ( ! [X0 : set(int),X1 : int] : (member(int,X1,X0) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42644])).
% 58.08/9.38 tff(f42644,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : ((($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK4219(X0,X1)),X1)) & member(int,sK4219(X0,X1),X0)) | ~member(int,X1,X0)) & ((! [X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X1)) | ~member(int,X3,X0)) & member(int,X1,X0)) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1))))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4219])],[f42642,f42643])).
% 58.08/9.38 tff(f42643,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : (? [X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) & member(int,X2,X0)) => (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK4219(X0,X1)),X1)) & member(int,sK4219(X0,X1),X0)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42642,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : ((($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) | ? [X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) & member(int,X2,X0)) | ~member(int,X1,X0)) & ((! [X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X1)) | ~member(int,X3,X0)) & member(int,X1,X0)) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1))))),
% 58.08/9.38 inference(rectify,[],[f42641])).
% 58.08/9.38 tff(f42641,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : ((($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) | ? [X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) & member(int,X2,X0)) | ~member(int,X1,X0)) & ((! [X2 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) | ~member(int,X2,X0)) & member(int,X1,X0)) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1))))),
% 58.08/9.38 inference(flattening,[],[f42640])).
% 58.08/9.38 tff(f42640,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : ((($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) | (? [X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) & member(int,X2,X0)) | ~member(int,X1,X0))) & ((! [X2 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) | ~member(int,X2,X0)) & member(int,X1,X0)) | ($true != aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1))))),
% 58.08/9.38 inference(nnf_transformation,[],[f34957])).
% 58.08/9.38 tff(f34957,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : (($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) <=> (! [X2 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) | ~member(int,X2,X0)) & member(int,X1,X0)))),
% 58.08/9.38 inference(ennf_transformation,[],[f16690])).
% 58.08/9.38 tff(f16690,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : (($true = aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1)) <=> (! [X2 : int] : (member(int,X2,X0) => ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1))) & member(int,X1,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f16689])).
% 58.08/9.38 tff(f16689,plain,(
% 58.08/9.38 ! [X0 : set(int),X1 : int] : (aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X0),X1) <=> (! [X2 : int] : (member(int,X2,X0) => aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X2),X1)) & member(int,X1,X0)))),
% 58.08/9.38 inference(rectify,[],[f8270])).
% 58.08/9.38 tff(f8270,axiom,(
% 58.08/9.38 ! [X105 : set(int),X448 : int] : (aa(int,$o,aTP_Lamp_aco(set(int),fun(int,$o),X105),X448) <=> (! [X65 : int] : (member(int,X65,X105) => aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X65),X448)) & member(int,X448,X105)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8269_ATP_Olambda__89)).
% 58.08/9.38 tff(f112051,plain,(
% 58.08/9.38 spl5880_5145),
% 58.08/9.38 inference(avatar_split_clause,[],[f59724,f112049])).
% 58.08/9.38 tff(f112049,plain,(
% 58.08/9.38 spl5880_5145 <=> ! [X0 : real,X1 : real] : (sin(real,X1) = X0 | ($true != aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5145])])).
% 58.08/9.38 tff(f59724,plain,(
% 58.08/9.38 ( ! [X0 : real,X1 : real] : (sin(real,X1) = X0 | ($true != aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42635])).
% 58.08/9.38 tff(f42635,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1)) | sin(real,X1) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))) & ((sin(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))) | ($true != aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1))))),
% 58.08/9.38 inference(flattening,[],[f42634])).
% 58.08/9.38 tff(f42634,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1)) | (sin(real,X1) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))) & ((sin(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))) | ($true != aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1))))),
% 58.08/9.38 inference(nnf_transformation,[],[f16682])).
% 58.08/9.38 tff(f16682,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : (($true = aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1)) <=> (sin(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f16681])).
% 58.08/9.38 tff(f16681,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : (aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X0),X1) <=> (sin(real,X1) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))),
% 58.08/9.38 inference(rectify,[],[f8252])).
% 58.08/9.38 tff(f8252,axiom,(
% 58.08/9.38 ! [X105 : real,X448 : real] : (aa(real,$o,aTP_Lamp_jh(real,fun(real,$o),X105),X448) <=> (sin(real,X448) = X105 & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X448),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X448)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8251_ATP_Olambda__71)).
% 58.08/9.38 tff(f112047,plain,(
% 58.08/9.38 spl5880_5144),
% 58.08/9.38 inference(avatar_split_clause,[],[f59716,f112045])).
% 58.08/9.38 tff(f112045,plain,(
% 58.08/9.38 spl5880_5144 <=> ! [X0 : real,X1 : real] : (cos(real,X1) = X0 | ($true != aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5144])])).
% 58.08/9.38 tff(f59716,plain,(
% 58.08/9.38 ( ! [X0 : real,X1 : real] : (cos(real,X1) = X0 | ($true != aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42631])).
% 58.08/9.38 tff(f42631,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1)) | cos(real,X1) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) & ((cos(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) | ($true != aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1))))),
% 58.08/9.38 inference(flattening,[],[f42630])).
% 58.08/9.38 tff(f42630,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1)) | (cos(real,X1) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1)))) & ((cos(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) | ($true != aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1))))),
% 58.08/9.38 inference(nnf_transformation,[],[f16678])).
% 58.08/9.38 tff(f16678,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : (($true = aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1)) <=> (cos(real,X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f16677])).
% 58.08/9.38 tff(f16677,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : (aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X0),X1) <=> (cos(real,X1) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1)))),
% 58.08/9.38 inference(rectify,[],[f8285])).
% 58.08/9.38 tff(f8285,axiom,(
% 58.08/9.38 ! [X105 : real,X448 : real] : (aa(real,$o,aTP_Lamp_jj(real,fun(real,$o),X105),X448) <=> (cos(real,X448) = X105 & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X448),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X448)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8284_ATP_Olambda__104)).
% 58.08/9.38 tff(f112042,plain,(
% 58.08/9.38 spl5880_5143),
% 58.08/9.38 inference(avatar_split_clause,[],[f59636,f112040])).
% 58.08/9.38 tff(f112040,plain,(
% 58.08/9.38 spl5880_5143 <=> ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 | aa(X0,option(X0),some(X0),sK4198(X0,X1)) = X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5143])])).
% 58.08/9.38 tff(f59636,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 | aa(X0,option(X0),some(X0),sK4198(X0,X1)) = X1) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42548])).
% 58.08/9.38 tff(f42548,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1 | none(X0) != X1) & (none(X0) = X1 | aa(X0,option(X0),some(X0),sK4198(X0,X1)) = X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4198])],[f42546,f42547])).
% 58.08/9.38 tff(f42547,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (? [X3 : X0] : aa(X0,option(X0),some(X0),X3) = X1 => aa(X0,option(X0),some(X0),sK4198(X0,X1)) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42546,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1 | none(X0) != X1) & (none(X0) = X1 | ? [X3 : X0] : aa(X0,option(X0),some(X0),X3) = X1))),
% 58.08/9.38 inference(rectify,[],[f42545])).
% 58.08/9.38 tff(f42545,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1 | none(X0) != X1) & (none(X0) = X1 | ? [X2 : X0] : aa(X0,option(X0),some(X0),X2) = X1))),
% 58.08/9.38 inference(nnf_transformation,[],[f26264])).
% 58.08/9.38 tff(f26264,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1 <=> none(X0) = X1)),
% 58.08/9.38 inference(rectify,[],[f596])).
% 58.08/9.38 tff(f596,axiom,(
% 58.08/9.38 ! [X0 : $tType,X9 : option(X0)] : (! [X102 : X0] : aa(X0,option(X0),some(X0),X102) != X9 <=> none(X0) = X9)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_595_not__Some__eq)).
% 58.08/9.38 tff(f112038,plain,(
% 58.08/9.38 spl5880_5142),
% 58.08/9.38 inference(avatar_split_clause,[],[f59574,f112036])).
% 58.08/9.38 tff(f112036,plain,(
% 58.08/9.38 spl5880_5142 <=> ! [X0 : $tType,X1 : set(X0),X7 : X0] : (sK4195(X0,X1) = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1) | ~sP2114(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5142])])).
% 58.08/9.38 tff(f59574,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0),X7 : X0] : (sK4195(X0,X1) = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1) | ~sP2114(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42510])).
% 58.08/9.38 tff(f42510,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : ((sP2114(X0,X1) | ! [X2 : X0] : (! [X3 : X0] : ((sK4193(X0,X1,X2,X3) != X3 & sK4193(X0,X1,X2,X3) != X2 & member(X0,sK4193(X0,X1,X2,X3),X1)) | X2 = X3 | ~member(X0,X3,X1)) | ~member(X0,X2,X1))) & (((! [X7 : X0] : (sK4195(X0,X1) = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1)) & sK4194(X0,X1) != sK4195(X0,X1) & member(X0,sK4195(X0,X1),X1)) & member(X0,sK4194(X0,X1),X1)) | ~sP2114(X0,X1)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4193,sK4194,sK4195])],[f42506,f42509,f42508,f42507])).
% 58.08/9.38 tff(f42507,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0),X2 : X0,X3 : X0] : (? [X4 : X0] : (X3 != X4 & X2 != X4 & member(X0,X4,X1)) => (sK4193(X0,X1,X2,X3) != X3 & sK4193(X0,X1,X2,X3) != X2 & member(X0,sK4193(X0,X1,X2,X3),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42508,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X5 : X0] : (? [X6 : X0] : (! [X7 : X0] : (X6 = X7 | X5 = X7 | ~member(X0,X7,X1)) & X5 != X6 & member(X0,X6,X1)) & member(X0,X5,X1)) => (? [X6 : X0] : (! [X7 : X0] : (X6 = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1)) & sK4194(X0,X1) != X6 & member(X0,X6,X1)) & member(X0,sK4194(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42509,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X6 : X0] : (! [X7 : X0] : (X6 = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1)) & sK4194(X0,X1) != X6 & member(X0,X6,X1)) => (! [X7 : X0] : (sK4195(X0,X1) = X7 | sK4194(X0,X1) = X7 | ~member(X0,X7,X1)) & sK4194(X0,X1) != sK4195(X0,X1) & member(X0,sK4195(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42506,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : ((sP2114(X0,X1) | ! [X2 : X0] : (! [X3 : X0] : (? [X4 : X0] : (X3 != X4 & X2 != X4 & member(X0,X4,X1)) | X2 = X3 | ~member(X0,X3,X1)) | ~member(X0,X2,X1))) & (? [X5 : X0] : (? [X6 : X0] : (! [X7 : X0] : (X6 = X7 | X5 = X7 | ~member(X0,X7,X1)) & X5 != X6 & member(X0,X6,X1)) & member(X0,X5,X1)) | ~sP2114(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f42505])).
% 58.08/9.38 tff(f42505,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : ((sP2114(X0,X1) | ! [X2 : X0] : (! [X3 : X0] : (? [X4 : X0] : (X3 != X4 & X2 != X4 & member(X0,X4,X1)) | X2 = X3 | ~member(X0,X3,X1)) | ~member(X0,X2,X1))) & (? [X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | X2 = X4 | ~member(X0,X4,X1)) & X2 != X3 & member(X0,X3,X1)) & member(X0,X2,X1)) | ~sP2114(X0,X1)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37378])).
% 58.08/9.38 tff(f112034,plain,(
% 58.08/9.38 spl5880_5141),
% 58.08/9.38 inference(avatar_split_clause,[],[f59395,f112032])).
% 58.08/9.38 tff(f112032,plain,(
% 58.08/9.38 spl5880_5141 <=> ! [X0 : $tType,X1 : option(X0)] : (aa(X0,option(X0),some(X0),sK4181(X0,X1)) = X1 | none(X0) = X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5141])])).
% 58.08/9.38 tff(f59395,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : option(X0)] : (aa(X0,option(X0),some(X0),sK4181(X0,X1)) = X1 | none(X0) = X1) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42391])).
% 58.08/9.38 tff(f42391,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((none(X0) != X1 | ! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1) & (aa(X0,option(X0),some(X0),sK4181(X0,X1)) = X1 | none(X0) = X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4181])],[f42389,f42390])).
% 58.08/9.38 tff(f42390,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (? [X3 : X0] : aa(X0,option(X0),some(X0),X3) = X1 => aa(X0,option(X0),some(X0),sK4181(X0,X1)) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42389,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((none(X0) != X1 | ! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1) & (? [X3 : X0] : aa(X0,option(X0),some(X0),X3) = X1 | none(X0) = X1))),
% 58.08/9.38 inference(rectify,[],[f42388])).
% 58.08/9.38 tff(f42388,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : ((none(X0) != X1 | ! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1) & (? [X2 : X0] : aa(X0,option(X0),some(X0),X2) = X1 | none(X0) = X1))),
% 58.08/9.38 inference(nnf_transformation,[],[f26203])).
% 58.08/9.38 tff(f26203,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (none(X0) != X1 <=> ? [X2 : X0] : aa(X0,option(X0),some(X0),X2) = X1)),
% 58.08/9.38 inference(rectify,[],[f595])).
% 58.08/9.38 tff(f595,axiom,(
% 58.08/9.38 ! [X0 : $tType,X9 : option(X0)] : (none(X0) != X9 <=> ? [X102 : X0] : aa(X0,option(X0),some(X0),X102) = X9)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_594_not__None__eq)).
% 58.08/9.38 tff(f112030,plain,(
% 58.08/9.38 spl5880_5140),
% 58.08/9.38 inference(avatar_split_clause,[],[f59340,f112028])).
% 58.08/9.38 tff(f112028,plain,(
% 58.08/9.38 spl5880_5140 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK4162(X0,X1),sK4164(X0,X1)) = X1 | ~sP2104(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5140])])).
% 58.08/9.38 tff(f59340,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK4162(X0,X1),sK4164(X0,X1)) = X1 | ~sP2104(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42338])).
% 58.08/9.38 tff(f42338,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2104(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4158(X2)),sK4159(X2))) & member(vEBT_VEBT,sK4158(X2),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),sK4160(X4))) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3) | ~vEBT_invar_vebt(X4,X3) | (~vEBT_invar_vebt(sK4161(X2,X3),X3) & member(vEBT_VEBT,sK4161(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & ((! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4162(X0,X1)))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4164(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4163(X0,X1)),sK4163(X0,X1)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4163(X0,X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4162(X0,X1)) & vEBT_invar_vebt(sK4164(X0,X1),sK4163(X0,X1)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK4163(X0,X1)) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4162(X0,X1)))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK4162(X0,X1),sK4164(X0,X1)) = X1) | ~sP2104(X0,X1)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4158,sK4159,sK4160,sK4161,sK4162,sK4163,sK4164])],[f42332,f42337,f42336,f42335,f42334,f42333])).
% 58.08/9.38 tff(f42333,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4158(X2)),X6)) & member(vEBT_VEBT,sK4158(X2),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42334,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4158(X2)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4158(X2)),sK4159(X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42335,plain,(
% 58.08/9.38 ! [X4 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),sK4160(X4))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42336,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (~vEBT_invar_vebt(sK4161(X2,X3),X3) & member(vEBT_VEBT,sK4161(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42337,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),X10) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X10) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) & vEBT_invar_vebt(X11,X10) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) => (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4162(X0,X1)))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4164(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4163(X0,X1)),sK4163(X0,X1)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4163(X0,X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4162(X0,X1)) & vEBT_invar_vebt(sK4164(X0,X1),sK4163(X0,X1)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK4163(X0,X1)) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4162(X0,X1)))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK4162(X0,X1),sK4164(X0,X1)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42332,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2104(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X7)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3) | ~vEBT_invar_vebt(X4,X3) | ? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),X10) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X10) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) & vEBT_invar_vebt(X11,X10) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) | ~sP2104(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f42331])).
% 58.08/9.38 tff(f42331,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : ((sP2104(X1,X0) | ! [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (? [X36 : vEBT_VEBT] : (? [X37 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) & member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) | ? [X38 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X35),X38)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) != X1 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X34) | ~vEBT_invar_vebt(X35,X34) | ? [X39 : vEBT_VEBT] : (~vEBT_invar_vebt(X39,X34) & member(vEBT_VEBT,X39,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) | vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) != X0)) & (? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) | ~member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & ! [X38 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~member(vEBT_VEBT,X39,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | ~sP2104(X1,X0)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37363])).
% 58.08/9.38 tff(f37363,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (sP2104(X1,X0) <=> ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) | ~member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & ! [X38 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~member(vEBT_VEBT,X39,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2104])])).
% 58.08/9.38 tff(f112026,plain,(
% 58.08/9.38 spl5880_5139),
% 58.08/9.38 inference(avatar_split_clause,[],[f59329,f112024])).
% 58.08/9.38 tff(f112024,plain,(
% 58.08/9.38 spl5880_5139 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK4155(X0,X1),sK4157(X0,X1)) = X1 | ~sP2105(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5139])])).
% 58.08/9.38 tff(f59329,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK4155(X0,X1),sK4157(X0,X1)) = X1 | ~sP2105(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42330])).
% 58.08/9.38 tff(f42330,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2105(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4151(X2)),sK4152(X2))) & member(vEBT_VEBT,sK4151(X2),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),sK4153(X4))) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | (~vEBT_invar_vebt(sK4154(X2,X3),X3) & member(vEBT_VEBT,sK4154(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & ((! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4155(X0,X1)))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4157(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4156(X0,X1)),aa(nat,nat,suc,sK4156(X0,X1))) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4155(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,sK4156(X0,X1))) & vEBT_invar_vebt(sK4157(X0,X1),aa(nat,nat,suc,sK4156(X0,X1))) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK4156(X0,X1)) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4155(X0,X1)))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK4155(X0,X1),sK4157(X0,X1)) = X1) | ~sP2105(X0,X1)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4151,sK4152,sK4153,sK4154,sK4155,sK4156,sK4157])],[f42324,f42329,f42328,f42327,f42326,f42325])).
% 58.08/9.38 tff(f42325,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4151(X2)),X6)) & member(vEBT_VEBT,sK4151(X2),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42326,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4151(X2)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4151(X2)),sK4152(X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42327,plain,(
% 58.08/9.38 ! [X4 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),sK4153(X4))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42328,plain,(
% 58.08/9.38 ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (~vEBT_invar_vebt(sK4154(X2,X3),X3) & member(vEBT_VEBT,sK4154(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42329,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),aa(nat,nat,suc,X10)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X10)) & vEBT_invar_vebt(X11,aa(nat,nat,suc,X10)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) => (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4155(X0,X1)))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4157(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4156(X0,X1)),aa(nat,nat,suc,sK4156(X0,X1))) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4155(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,sK4156(X0,X1))) & vEBT_invar_vebt(sK4157(X0,X1),aa(nat,nat,suc,sK4156(X0,X1))) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK4156(X0,X1)) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4155(X0,X1)))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK4155(X0,X1),sK4157(X0,X1)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42324,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2105(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X7)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & ! [X14 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),aa(nat,nat,suc,X10)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X10)) & vEBT_invar_vebt(X11,aa(nat,nat,suc,X10)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~member(vEBT_VEBT,X15,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) | ~sP2105(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f42323])).
% 58.08/9.38 tff(f42323,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : ((sP2105(X1,X0) | ! [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (? [X29 : vEBT_VEBT] : (? [X30 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) & member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) | ? [X31 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) != X1 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) | ~vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) | ? [X32 : vEBT_VEBT] : (~vEBT_invar_vebt(X32,X27) & member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) | vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) != X0)) & (? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) | ~member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & ! [X31 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ~sP2105(X1,X0)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37364])).
% 58.08/9.38 tff(f37364,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (sP2105(X1,X0) <=> ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) | ~member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & ! [X31 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2105])])).
% 58.08/9.38 tff(f112022,plain,(
% 58.08/9.38 spl5880_5138),
% 58.08/9.38 inference(avatar_split_clause,[],[f58788,f112020])).
% 58.08/9.38 tff(f112020,plain,(
% 58.08/9.38 spl5880_5138 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG952(sK4015(X0,X1),X0,sK4016(X0,X1),sK4017(X0,X1),sK4018(X0,X1)) | ~sP2090(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5138])])).
% 58.08/9.38 tff(f58788,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG952(sK4015(X0,X1),X0,sK4016(X0,X1),sK4017(X0,X1),sK4018(X0,X1)) | ~sP2090(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42084])).
% 58.08/9.38 tff(f42084,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG952(sK4015(X0,X1),X0,sK4016(X0,X1),sK4017(X0,X1),sK4018(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4015(X0,X1)),sK4016(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK4017(X0,X1))),sK4018(X0,X1),sK4019(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4015(X0,X1)),sK4016(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK4017(X0,X1))),sK4018(X0,X1),sK4019(X0,X1)) = X1) | ~sP2090(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4015,sK4016,sK4017,sK4018,sK4019])],[f42082,f42083])).
% 58.08/9.38 tff(f42083,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (~iG952(X2,X0,X3,X4,X5) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) => (~iG952(sK4015(X0,X1),X0,sK4016(X0,X1),sK4017(X0,X1),sK4018(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4015(X0,X1)),sK4016(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK4017(X0,X1))),sK4018(X0,X1),sK4019(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4015(X0,X1)),sK4016(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK4017(X0,X1))),sK4018(X0,X1),sK4019(X0,X1)) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42082,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (~iG952(X2,X0,X3,X4,X5) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) | ~sP2090(X0,X1))),
% 58.08/9.38 inference(rectify,[],[f42081])).
% 58.08/9.38 tff(f42081,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (~iG952(X13,X1,X14,X15,X16) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17)),X1))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP2090(X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37344])).
% 58.08/9.38 tff(f37344,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (~iG952(X13,X1,X14,X15,X16) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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) | ~sP2090(X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2090])])).
% 58.08/9.38 tff(f112018,plain,(
% 58.08/9.38 spl5880_5137),
% 58.08/9.38 inference(avatar_split_clause,[],[f58772,f112016])).
% 58.08/9.38 tff(f112016,plain,(
% 58.08/9.38 spl5880_5137 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(sK3993(X0,X1))))) | ~sP2085(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5137])])).
% 58.08/9.38 tff(f58772,plain,(
% 58.08/9.38 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(sK3993(X0,X1))))) | ~sP2085(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42059])).
% 58.08/9.38 tff(f42059,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(sK3993(X0,X1))))) & ($true != X0) & vEBT_Leaf($true,bG927(sK3993(X0,X1))) = X1) | ~sP2085(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3993])],[f42057,f42058])).
% 58.08/9.38 tff(f42058,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(X2)))) & ($true != X0) & vEBT_Leaf($true,bG927(X2)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(sK3993(X0,X1))))) & ($true != X0) & vEBT_Leaf($true,bG927(sK3993(X0,X1))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42057,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(X2)))) & ($true != X0) & vEBT_Leaf($true,bG927(X2)) = X1) | ~sP2085(X0,X1))),
% 58.08/9.38 inference(rectify,[],[f42056])).
% 58.08/9.38 tff(f42056,plain,(
% 58.08/9.38 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(X2)))) & ($true != X1) & vEBT_Leaf($true,bG927(X2)) = X0) | ~sP2085(X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37338])).
% 58.08/9.38 tff(f37338,plain,(
% 58.08/9.38 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG928(X2)))) & ($true != X1) & vEBT_Leaf($true,bG927(X2)) = X0) | ~sP2085(X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2085])])).
% 58.08/9.38 tff(f112014,plain,(
% 58.08/9.38 spl5880_5136),
% 58.08/9.38 inference(avatar_split_clause,[],[f58769,f112012])).
% 58.08/9.38 tff(f112012,plain,(
% 58.08/9.38 spl5880_5136 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(sK3992(X0,X1)),$true))) | ~sP2086(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5136])])).
% 58.08/9.38 tff(f58769,plain,(
% 58.08/9.38 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(sK3992(X0,X1)),$true))) | ~sP2086(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f42055])).
% 58.08/9.38 tff(f42055,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(sK3992(X0,X1)),$true))) & ($true != X0) & vEBT_Leaf(bG929(sK3992(X0,X1)),$true) = X1) | ~sP2086(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3992])],[f42053,f42054])).
% 58.08/9.38 tff(f42054,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(X2),$true))) & ($true != X0) & vEBT_Leaf(bG929(X2),$true) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(sK3992(X0,X1)),$true))) & ($true != X0) & vEBT_Leaf(bG929(sK3992(X0,X1)),$true) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f42053,plain,(
% 58.08/9.38 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(X2),$true))) & ($true != X0) & vEBT_Leaf(bG929(X2),$true) = X1) | ~sP2086(X0,X1))),
% 58.08/9.38 inference(rectify,[],[f42052])).
% 58.08/9.38 tff(f42052,plain,(
% 58.08/9.38 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(X3),$true))) & ($true != X1) & vEBT_Leaf(bG929(X3),$true) = X0) | ~sP2086(X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37339])).
% 58.08/9.38 tff(f37339,plain,(
% 58.08/9.38 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf(bG930(X3),$true))) & ($true != X1) & vEBT_Leaf(bG929(X3),$true) = X0) | ~sP2086(X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2086])])).
% 58.08/9.38 tff(f112010,plain,(
% 58.08/9.38 spl5880_5135),
% 58.08/9.38 inference(avatar_split_clause,[],[f58685,f112008])).
% 58.08/9.38 tff(f112008,plain,(
% 58.08/9.38 spl5880_5135 <=> ! [X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X2 : set(X1)] : (strict_mono_on(X1,X0,X3,X2) | member(X1,sK3937(X0,X1,X2,X3),X2) | ~ord(X0) | ~ord(X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5135])])).
% 58.08/9.38 tff(f58685,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : fun(X1,X0)] : (strict_mono_on(X1,X0,X3,X2) | member(X1,sK3937(X0,X1,X2,X3),X2) | ~ord(X0) | ~ord(X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41978])).
% 58.08/9.38 tff(f41978,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (strict_mono_on(X1,X0,X3,X2) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,sK3936(X0,X1,X2,X3))),aa(X1,X0,X3,sK3937(X0,X1,X2,X3)))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),sK3936(X0,X1,X2,X3)),sK3937(X0,X1,X2,X3))) & member(X1,sK3937(X0,X1,X2,X3),X2) & member(X1,sK3936(X0,X1,X2,X3),X2))) | ~ord(X0) | ~ord(X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3936,sK3937])],[f34338,f41977])).
% 58.08/9.38 tff(f41977,plain,(
% 58.08/9.38 ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : fun(X1,X0)] : (? [X4 : X1,X5 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,X4)),aa(X1,X0,X3,X5))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) & member(X1,X5,X2) & member(X1,X4,X2)) => (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,sK3936(X0,X1,X2,X3))),aa(X1,X0,X3,sK3937(X0,X1,X2,X3)))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),sK3936(X0,X1,X2,X3)),sK3937(X0,X1,X2,X3))) & member(X1,sK3937(X0,X1,X2,X3),X2) & member(X1,sK3936(X0,X1,X2,X3),X2)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f34338,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (strict_mono_on(X1,X0,X3,X2) | ? [X4 : X1,X5 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,X4)),aa(X1,X0,X3,X5))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) & member(X1,X5,X2) & member(X1,X4,X2))) | ~ord(X0) | ~ord(X1))),
% 58.08/9.38 inference(flattening,[],[f34337])).
% 58.08/9.38 tff(f34337,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X1),X3 : fun(X1,X0)] : (strict_mono_on(X1,X0,X3,X2) | ? [X4 : X1,X5 : X1] : (((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,X4)),aa(X1,X0,X3,X5))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5))) & member(X1,X5,X2)) & member(X1,X4,X2))) | (~ord(X0) | ~ord(X1)))),
% 58.08/9.38 inference(ennf_transformation,[],[f15715])).
% 58.08/9.38 tff(f15715,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : ((ord(X0) & ord(X1)) => ! [X2 : set(X1),X3 : fun(X1,X0)] : (! [X4 : X1,X5 : X1] : (member(X1,X4,X2) => (member(X1,X5,X2) => (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,X4)),aa(X1,X0,X3,X5)))))) => strict_mono_on(X1,X0,X3,X2)))),
% 58.08/9.38 inference(fool_elimination,[],[f15714])).
% 58.08/9.38 tff(f15714,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : ((ord(X0) & ord(X1)) => ! [X2 : set(X1),X3 : fun(X1,X0)] : (! [X4 : X1,X5 : X1] : (member(X1,X4,X2) => (member(X1,X5,X2) => (aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X3,X4)),aa(X1,X0,X3,X5))))) => strict_mono_on(X1,X0,X3,X2)))),
% 58.08/9.38 inference(rectify,[],[f5671])).
% 58.08/9.38 tff(f5671,axiom,(
% 58.08/9.38 ! [X1 : $tType,X0 : $tType] : ((ord(X1) & ord(X0)) => ! [X27 : set(X0),X30 : fun(X0,X1)] : (! [X201 : X0,X63 : X0] : (member(X0,X201,X27) => (member(X0,X63,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X201),X63) => aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X0,X1,X30,X201)),aa(X0,X1,X30,X63))))) => strict_mono_on(X0,X1,X30,X27)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5670_strict__mono__onI)).
% 58.08/9.38 tff(f112006,plain,(
% 58.08/9.38 spl5880_5134),
% 58.08/9.38 inference(avatar_split_clause,[],[f58684,f112004])).
% 58.08/9.38 tff(f112004,plain,(
% 58.08/9.38 spl5880_5134 <=> ! [X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X2 : set(X1)] : (strict_mono_on(X1,X0,X3,X2) | member(X1,sK3936(X0,X1,X2,X3),X2) | ~ord(X0) | ~ord(X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5134])])).
% 58.08/9.38 tff(f58684,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : fun(X1,X0)] : (strict_mono_on(X1,X0,X3,X2) | member(X1,sK3936(X0,X1,X2,X3),X2) | ~ord(X0) | ~ord(X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41978])).
% 58.08/9.38 tff(f112002,plain,(
% 58.08/9.38 spl5880_5133),
% 58.08/9.38 inference(avatar_split_clause,[],[f58359,f112000])).
% 58.08/9.38 tff(f112000,plain,(
% 58.08/9.38 spl5880_5133 <=> ! [X1 : $tType,X3 : $tType,X4 : X3,X0 : X1,X5 : X3,X2 : fun(X3,X1)] : (order_mono(nat,X3,sK3866(X1,X3,X0,X2,X4,X5)) | ~sP2066(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5133])])).
% 58.08/9.38 tff(f58359,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X3,X1),X0 : X1,X4 : X3,X5 : X3] : (order_mono(nat,X3,sK3866(X1,X3,X0,X2,X4,X5)) | ~sP2066(X1,X3,X0,X2,X4,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41804])).
% 58.08/9.38 tff(f41804,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : ((~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK3866(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,sK3866(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),aa(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),X7))) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),X8)),X4))) | ~sP2066(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3866])],[f41802,f41803])).
% 58.08/9.38 tff(f41803,plain,(
% 58.08/9.38 ! [X3 : $tType,X1 : $tType,X0 : X1,X2 : fun(X3,X1),X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,X6) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),aa(nat,X3,X6,X7))) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,X6,X8)),X4))) => (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK3866(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,sK3866(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),aa(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),X7))) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,sK3866(X1,X3,X0,X2,X4,X5),X8)),X4))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41802,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,X6) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),aa(nat,X3,X6,X7))) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,X6,X8)),X4))) | ~sP2066(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 inference(rectify,[],[f41801])).
% 58.08/9.38 tff(f41801,plain,(
% 58.08/9.38 ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X3 : X1,X2 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_ya(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X3),at_top(nat)) & order_mono(nat,X1,X6) & ! [X8 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X6,X8))) & ! [X7 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X6,X7)),X3))) | ~sP2066(X0,X1,X5,X4,X3,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37309])).
% 58.08/9.38 tff(f37309,plain,(
% 58.08/9.38 ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X3 : X1,X2 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_ya(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X3),at_top(nat)) & order_mono(nat,X1,X6) & ! [X8 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X6,X8))) & ! [X7 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X6,X7)),X3))) | ~sP2066(X0,X1,X5,X4,X3,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2066])])).
% 58.08/9.38 tff(f111998,plain,(
% 58.08/9.38 spl5880_5132),
% 58.08/9.38 inference(avatar_split_clause,[],[f58353,f111996])).
% 58.08/9.38 tff(f111996,plain,(
% 58.08/9.38 spl5880_5132 <=> ! [X1 : $tType,X3 : $tType,X4 : X3,X0 : X1,X5 : X3,X2 : fun(X3,X1)] : (order_antimono(nat,X3,sK3865(X1,X3,X0,X2,X4,X5)) | ~sP2065(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5132])])).
% 58.08/9.38 tff(f58353,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X3,X1),X0 : X1,X4 : X3,X5 : X3] : (order_antimono(nat,X3,sK3865(X1,X3,X0,X2,X4,X5)) | ~sP2065(X1,X3,X0,X2,X4,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41800])).
% 58.08/9.38 tff(f41800,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : ((~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK3865(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,sK3865(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),X7)),X5)) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X4),aa(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),X8)))) | ~sP2065(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3865])],[f41798,f41799])).
% 58.08/9.38 tff(f41799,plain,(
% 58.08/9.38 ! [X3 : $tType,X1 : $tType,X0 : X1,X2 : fun(X3,X1),X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,X6) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,X6,X7)),X5)) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X4),aa(nat,X3,X6,X8)))) => (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK3865(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,sK3865(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),X7)),X5)) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X4),aa(nat,X3,sK3865(X1,X3,X0,X2,X4,X5),X8)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41798,plain,(
% 58.08/9.38 ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_ya(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,X6) & ! [X7 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(nat,X3,X6,X7)),X5)) & ! [X8 : nat] : ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X4),aa(nat,X3,X6,X8)))) | ~sP2065(X1,X3,X0,X2,X4,X5))),
% 58.08/9.38 inference(rectify,[],[f41797])).
% 58.08/9.38 tff(f41797,plain,(
% 58.08/9.38 ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X2 : X1,X3 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_ya(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X6) & ! [X8 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X6,X8)),X3)) & ! [X7 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X6,X7)))) | ~sP2065(X0,X1,X5,X4,X2,X3))),
% 58.08/9.38 inference(nnf_transformation,[],[f37307])).
% 58.08/9.38 tff(f37307,plain,(
% 58.08/9.38 ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X2 : X1,X3 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_ya(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X6) & ! [X8 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(nat,X1,X6,X8)),X3)) & ! [X7 : nat] : ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),aa(nat,X1,X6,X7)))) | ~sP2065(X0,X1,X5,X4,X2,X3))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2065])])).
% 58.08/9.38 tff(f111994,plain,(
% 58.08/9.38 spl5880_5131),
% 58.08/9.38 inference(avatar_split_clause,[],[f58232,f111992])).
% 58.08/9.38 tff(f111992,plain,(
% 58.08/9.38 spl5880_5131 <=> ! [X0 : $tType,X1 : option(X0)] : (aa(X0,option(X0),some(X0),sK3796(X0,X1)) = X1 | none(X0) = X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5131])])).
% 58.08/9.38 tff(f58232,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : option(X0)] : (aa(X0,option(X0),some(X0),sK3796(X0,X1)) = X1 | none(X0) = X1) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41712])).
% 58.08/9.38 tff(f41712,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (aa(X0,option(X0),some(X0),sK3796(X0,X1)) = X1 | none(X0) = X1)),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3796])],[f33841,f41711])).
% 58.08/9.38 tff(f41711,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (? [X2 : X0] : aa(X0,option(X0),some(X0),X2) = X1 => aa(X0,option(X0),some(X0),sK3796(X0,X1)) = X1)),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f33841,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (? [X2 : X0] : aa(X0,option(X0),some(X0),X2) = X1 | none(X0) = X1)),
% 58.08/9.38 inference(ennf_transformation,[],[f25989])).
% 58.08/9.38 tff(f25989,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : option(X0)] : (none(X0) != X1 => ~! [X2 : X0] : aa(X0,option(X0),some(X0),X2) != X1)),
% 58.08/9.38 inference(rectify,[],[f641])).
% 58.08/9.38 tff(f641,axiom,(
% 58.08/9.38 ! [X0 : $tType,X18 : option(X0)] : (none(X0) != X18 => ~! [X103 : X0] : aa(X0,option(X0),some(X0),X103) != X18)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_640_option_Oexhaust)).
% 58.08/9.38 tff(f111990,plain,(
% 58.08/9.38 spl5880_5130),
% 58.08/9.38 inference(avatar_split_clause,[],[f58208,f111988])).
% 58.08/9.38 tff(f111988,plain,(
% 58.08/9.38 spl5880_5130 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP2057(X0,X1) | ~distinct(X0,sK3787(X0,X1)) | ~distinct(list(X0),X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5130])])).
% 58.08/9.38 tff(f58208,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP2057(X0,X1) | ~distinct(X0,sK3787(X0,X1)) | ~distinct(list(X0),X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41694])).
% 58.08/9.38 tff(f41694,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP2057(X0,X1) | (~distinct(X0,sK3787(X0,X1)) & member(list(X0),sK3787(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~distinct(list(X0),X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3787])],[f37294,f41693])).
% 58.08/9.38 tff(f41693,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (~distinct(X0,sK3787(X0,X1)) & member(list(X0),sK3787(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f37294,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP2057(X0,X1) | ? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~distinct(list(X0),X1))),
% 58.08/9.38 inference(definition_folding,[],[f33812,f37293])).
% 58.08/9.38 tff(f37293,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2057(X0,X1))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2057])])).
% 58.08/9.38 tff(f33812,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~distinct(list(X0),X1))),
% 58.08/9.38 inference(flattening,[],[f33811])).
% 58.08/9.38 tff(f33811,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (((distinct(X0,concat(X0,X1)) | ? [X3 : list(X0),X4 : list(X0)] : (((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4) & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),X1))),
% 58.08/9.38 inference(ennf_transformation,[],[f25977])).
% 58.08/9.38 tff(f25977,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),X1) => (! [X2 : list(X0)] : (member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => distinct(X0,X2)) => (! [X3 : list(X0),X4 : list(X0)] : (member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => (member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => (X3 != X4 => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4))))) => distinct(X0,concat(X0,X1)))))),
% 58.08/9.38 inference(rectify,[],[f6748])).
% 58.08/9.38 tff(f6748,axiom,(
% 58.08/9.38 ! [X0 : $tType,X64 : list(list(X0))] : (distinct(list(X0),X64) => (! [X367 : list(X0)] : (member(list(X0),X367,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) => distinct(X0,X367)) => (! [X367 : list(X0),X368 : list(X0)] : (member(list(X0),X367,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) => (member(list(X0),X368,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) => (X367 != X368 => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X367)),aa(list(X0),set(X0),set2(X0),X368))))) => distinct(X0,concat(X0,X64)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6747_distinct__concat)).
% 58.08/9.38 tff(f111986,plain,(
% 58.08/9.38 spl5880_5129),
% 58.08/9.38 inference(avatar_split_clause,[],[f58166,f111984])).
% 58.08/9.38 tff(f111984,plain,(
% 58.08/9.38 spl5880_5129 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(sK3758(X0,X1))))) | ~sP2048(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5129])])).
% 58.08/9.38 tff(f58166,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(sK3758(X0,X1))))) | ~sP2048(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41653])).
% 58.08/9.38 tff(f41653,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(sK3758(X0,X1))))) & one_one(nat) = X0 & vEBT_Leaf($true,bG879(sK3758(X0,X1))) = X1) | ~sP2048(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3758])],[f41651,f41652])).
% 58.08/9.38 tff(f41652,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(X2)))) & one_one(nat) = X0 & vEBT_Leaf($true,bG879(X2)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(sK3758(X0,X1))))) & one_one(nat) = X0 & vEBT_Leaf($true,bG879(sK3758(X0,X1))) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41651,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(X2)))) & one_one(nat) = X0 & vEBT_Leaf($true,bG879(X2)) = X1) | ~sP2048(X0,X1))),
% 58.08/9.38 inference(rectify,[],[f41650])).
% 58.08/9.38 tff(f41650,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(X2)))) & one_one(nat) = X1 & vEBT_Leaf($true,bG879(X2)) = X0) | ~sP2048(X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37279])).
% 58.08/9.38 tff(f37279,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($true,bG880(X2)))) & one_one(nat) = X1 & vEBT_Leaf($true,bG879(X2)) = X0) | ~sP2048(X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2048])])).
% 58.08/9.38 tff(f111982,plain,(
% 58.08/9.38 spl5880_5128),
% 58.08/9.38 inference(avatar_split_clause,[],[f58163,f111980])).
% 58.08/9.38 tff(f111980,plain,(
% 58.08/9.38 spl5880_5128 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(sK3757(X0,X1)),$true))) | ~sP2049(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5128])])).
% 58.08/9.38 tff(f58163,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(sK3757(X0,X1)),$true))) | ~sP2049(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41649])).
% 58.08/9.38 tff(f41649,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(sK3757(X0,X1)),$true))) & one_one(nat) = X0 & vEBT_Leaf(bG881(sK3757(X0,X1)),$true) = X1) | ~sP2049(X0,X1))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3757])],[f41647,f41648])).
% 58.08/9.38 tff(f41648,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(X2),$true))) & one_one(nat) = X0 & vEBT_Leaf(bG881(X2),$true) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(sK3757(X0,X1)),$true))) & one_one(nat) = X0 & vEBT_Leaf(bG881(sK3757(X0,X1)),$true) = X1))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41647,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(X2),$true))) & one_one(nat) = X0 & vEBT_Leaf(bG881(X2),$true) = X1) | ~sP2049(X0,X1))),
% 58.08/9.38 inference(rectify,[],[f41646])).
% 58.08/9.38 tff(f41646,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(X3),$true))) & one_one(nat) = X1 & vEBT_Leaf(bG881(X3),$true) = X0) | ~sP2049(X1,X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f37280])).
% 58.08/9.38 tff(f37280,plain,(
% 58.08/9.38 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf(bG882(X3),$true))) & one_one(nat) = X1 & vEBT_Leaf(bG881(X3),$true) = X0) | ~sP2049(X1,X0))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2049])])).
% 58.08/9.38 tff(f111978,plain,(
% 58.08/9.38 spl5880_5127),
% 58.08/9.38 inference(avatar_split_clause,[],[f57717,f111976])).
% 58.08/9.38 tff(f111976,plain,(
% 58.08/9.38 spl5880_5127 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (sK3504(X1,X2,X0,X3) != sK3505(X1,X2,X0,X3) | ~sP2012(X1,X2,X0,X3))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5127])])).
% 58.08/9.38 tff(f57717,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : $tType,X3 : set(set(X1)),X0 : fun(X1,X2)] : (sK3504(X1,X2,X0,X3) != sK3505(X1,X2,X0,X3) | ~sP2012(X1,X2,X0,X3)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41294])).
% 58.08/9.38 tff(f41294,plain,(
% 58.08/9.38 ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (((sP2011(X2,X1,X0,sK3505(X1,X2,X0,X3),sK3504(X1,X2,X0,X3)) & sK3504(X1,X2,X0,X3) != sK3505(X1,X2,X0,X3) & member(set(X1),sK3505(X1,X2,X0,X3),X3)) & member(set(X1),sK3504(X1,X2,X0,X3),X3)) | ~sP2012(X1,X2,X0,X3))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3504,sK3505])],[f41291,f41293,f41292])).
% 58.08/9.38 tff(f41292,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP2011(X2,X1,X0,X5,X4) & X4 != X5 & member(set(X1),X5,X3)) & member(set(X1),X4,X3)) => (? [X5 : set(X1)] : (sP2011(X2,X1,X0,X5,sK3504(X1,X2,X0,X3)) & sK3504(X1,X2,X0,X3) != X5 & member(set(X1),X5,X3)) & member(set(X1),sK3504(X1,X2,X0,X3),X3)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41293,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X5 : set(X1)] : (sP2011(X2,X1,X0,X5,sK3504(X1,X2,X0,X3)) & sK3504(X1,X2,X0,X3) != X5 & member(set(X1),X5,X3)) => (sP2011(X2,X1,X0,sK3505(X1,X2,X0,X3),sK3504(X1,X2,X0,X3)) & sK3504(X1,X2,X0,X3) != sK3505(X1,X2,X0,X3) & member(set(X1),sK3505(X1,X2,X0,X3),X3)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41291,plain,(
% 58.08/9.38 ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP2011(X2,X1,X0,X5,X4) & X4 != X5 & member(set(X1),X5,X3)) & member(set(X1),X4,X3)) | ~sP2012(X1,X2,X0,X3))),
% 58.08/9.38 inference(rectify,[],[f41290])).
% 58.08/9.38 tff(f41290,plain,(
% 58.08/9.38 ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP2011(X0,X1,X3,X6,X5) & X5 != X6 & member(set(X1),X6,X2)) & member(set(X1),X5,X2)) | ~sP2012(X1,X0,X3,X2))),
% 58.08/9.38 inference(nnf_transformation,[],[f37223])).
% 58.08/9.38 tff(f37223,plain,(
% 58.08/9.38 ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP2011(X0,X1,X3,X6,X5) & X5 != X6 & member(set(X1),X6,X2)) & member(set(X1),X5,X2)) | ~sP2012(X1,X0,X3,X2))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2012])])).
% 58.08/9.38 tff(f111974,plain,(
% 58.08/9.38 spl5880_5126),
% 58.08/9.38 inference(avatar_split_clause,[],[f57586,f111972])).
% 58.08/9.38 tff(f111972,plain,(
% 58.08/9.38 spl5880_5126 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X1,$o),X5 : fun(X1,X2),X3 : X2] : (member(X2,X3,sK3474(X1,X2,X0,X3,X4,X5)) | ~sP2006(X1,X2,X0,X3,X4,X5))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5126])])).
% 58.08/9.38 tff(f57586,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X2 : $tType,X3 : X2,X0 : fun(X1,$o),X4 : set(X2),X5 : fun(X1,X2)] : (member(X2,X3,sK3474(X1,X2,X0,X3,X4,X5)) | ~sP2006(X1,X2,X0,X3,X4,X5)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41222])).
% 58.08/9.38 tff(f41222,plain,(
% 58.08/9.38 ! [X0 : fun(X1,$o),X1 : $tType,X2 : $tType,X3 : X2,X4 : set(X2),X5 : fun(X1,X2)] : ((sP2006(X1,X2,X0,X3,X4,X5) | ! [X6 : set(X2)] : ((($true != aa(X1,$o,X0,sK3473(X1,X2,X0,X3,X4,X5,X6))) & member(X2,aa(X1,X2,X5,sK3473(X1,X2,X0,X3,X4,X5,X6)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X6),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) | ~member(X2,X3,X6) | ~topolo1002775350975398744n_open(X2,X6))) & ((! [X9 : X1] : (($true = aa(X1,$o,X0,X9)) | ~member(X2,aa(X1,X2,X5,X9),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),sK3474(X1,X2,X0,X3,X4,X5)),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) & member(X2,X3,sK3474(X1,X2,X0,X3,X4,X5)) & topolo1002775350975398744n_open(X2,sK3474(X1,X2,X0,X3,X4,X5))) | ~sP2006(X1,X2,X0,X3,X4,X5)))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3473,sK3474])],[f41219,f41221,f41220])).
% 58.08/9.38 tff(f41220,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X1,$o),X3 : X2,X4 : set(X2),X5 : fun(X1,X2),X6 : set(X2)] : (? [X7 : X1] : (($true != aa(X1,$o,X0,X7)) & member(X2,aa(X1,X2,X5,X7),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X6),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) => (($true != aa(X1,$o,X0,sK3473(X1,X2,X0,X3,X4,X5,X6))) & member(X2,aa(X1,X2,X5,sK3473(X1,X2,X0,X3,X4,X5,X6)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X6),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41221,plain,(
% 58.08/9.38 ! [X2 : $tType,X1 : $tType,X0 : fun(X1,$o),X3 : X2,X4 : set(X2),X5 : fun(X1,X2)] : (? [X8 : set(X2)] : (! [X9 : X1] : (($true = aa(X1,$o,X0,X9)) | ~member(X2,aa(X1,X2,X5,X9),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X8),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) & member(X2,X3,X8) & topolo1002775350975398744n_open(X2,X8)) => (! [X9 : X1] : (($true = aa(X1,$o,X0,X9)) | ~member(X2,aa(X1,X2,X5,X9),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),sK3474(X1,X2,X0,X3,X4,X5)),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) & member(X2,X3,sK3474(X1,X2,X0,X3,X4,X5)) & topolo1002775350975398744n_open(X2,sK3474(X1,X2,X0,X3,X4,X5))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f41219,plain,(
% 58.08/9.38 ! [X0 : fun(X1,$o),X1 : $tType,X2 : $tType,X3 : X2,X4 : set(X2),X5 : fun(X1,X2)] : ((sP2006(X1,X2,X0,X3,X4,X5) | ! [X6 : set(X2)] : (? [X7 : X1] : (($true != aa(X1,$o,X0,X7)) & member(X2,aa(X1,X2,X5,X7),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X6),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) | ~member(X2,X3,X6) | ~topolo1002775350975398744n_open(X2,X6))) & (? [X8 : set(X2)] : (! [X9 : X1] : (($true = aa(X1,$o,X0,X9)) | ~member(X2,aa(X1,X2,X5,X9),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),minus_minus(set(X2)),aa(set(X2),set(X2),aa(set(X2),fun(set(X2),set(X2)),inf_inf(set(X2)),X8),X4)),aa(set(X2),set(X2),insert(X2,X3),bot_bot(set(X2)))))) & member(X2,X3,X8) & topolo1002775350975398744n_open(X2,X8)) | ~sP2006(X1,X2,X0,X3,X4,X5)))),
% 58.08/9.38 inference(rectify,[],[f41218])).
% 58.08/9.38 tff(f41218,plain,(
% 58.08/9.38 ! [X2 : fun(X1,$o),X1 : $tType,X0 : $tType,X4 : X0,X5 : set(X0),X3 : fun(X1,X0)] : ((sP2006(X1,X0,X2,X4,X5,X3) | ! [X6 : set(X0)] : (? [X7 : X1] : (($true != aa(X1,$o,X2,X7)) & member(X0,aa(X1,X0,X3,X7),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X6),X5)),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) | ~member(X0,X4,X6) | ~topolo1002775350975398744n_open(X0,X6))) & (? [X6 : set(X0)] : (! [X7 : X1] : (($true = aa(X1,$o,X2,X7)) | ~member(X0,aa(X1,X0,X3,X7),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X6),X5)),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) & member(X0,X4,X6) & topolo1002775350975398744n_open(X0,X6)) | ~sP2006(X1,X0,X2,X4,X5,X3)))),
% 58.08/9.38 inference(nnf_transformation,[],[f37213])).
% 58.08/9.38 tff(f37213,plain,(
% 58.08/9.38 ! [X2 : fun(X1,$o),X1 : $tType,X0 : $tType,X4 : X0,X5 : set(X0),X3 : fun(X1,X0)] : (sP2006(X1,X0,X2,X4,X5,X3) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (($true = aa(X1,$o,X2,X7)) | ~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),insert(X0,X4),bot_bot(set(X0)))))) & member(X0,X4,X6) & topolo1002775350975398744n_open(X0,X6)))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2006])])).
% 58.08/9.38 tff(f111970,plain,(
% 58.08/9.38 spl5880_5125),
% 58.08/9.38 inference(avatar_split_clause,[],[f57426,f111968])).
% 58.08/9.38 tff(f111968,plain,(
% 58.08/9.38 spl5880_5125 <=> ! [X1 : $tType,X0 : $tType,X4 : filter(X1),X3 : X0,X2 : fun(X1,X0)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP1999(X1,X0,X4,X2,X3) | ~sP2000(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5125])])).
% 58.08/9.38 tff(f57426,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP1999(X1,X0,X4,X2,X3) | ~sP2000(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41099])).
% 58.08/9.38 tff(f41099,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : ((filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP1999(X1,X0,X4,X2,X3)) & (sP1999(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4))) | ~sP2000(X0,X1))),
% 58.08/9.38 inference(nnf_transformation,[],[f37201])).
% 58.08/9.38 tff(f37201,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> sP1999(X1,X0,X4,X2,X3)) | ~sP2000(X0,X1))),
% 58.08/9.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2000])])).
% 58.08/9.38 tff(f111966,plain,(
% 58.08/9.38 spl5880_5124),
% 58.08/9.38 inference(avatar_split_clause,[],[f57425,f111964])).
% 58.08/9.38 tff(f111964,plain,(
% 58.08/9.38 spl5880_5124 <=> ! [X1 : $tType,X0 : $tType,X4 : filter(X1),X3 : X0,X2 : fun(X1,X0)] : (sP1999(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP2000(X0,X1))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5124])])).
% 58.08/9.38 tff(f57425,plain,(
% 58.08/9.38 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (sP1999(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP2000(X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f41099])).
% 58.08/9.38 tff(f111961,plain,(
% 58.08/9.38 spl5880_5123),
% 58.08/9.38 inference(avatar_split_clause,[],[f56745,f111959])).
% 58.08/9.38 tff(f111959,plain,(
% 58.08/9.38 spl5880_5123 <=> ! [X0 : $tType,X1 : list(X0)] : member(list(X0),X1,aa(list(list(X0)),set(list(X0)),set2(list(X0)),subseqs(X0,X1)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5123])])).
% 58.08/9.38 tff(f56745,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : list(X0)] : (member(list(X0),X1,aa(list(list(X0)),set(list(X0)),set2(list(X0)),subseqs(X0,X1)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25298])).
% 58.08/9.38 tff(f25298,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : list(X0)] : member(list(X0),X1,aa(list(list(X0)),set(list(X0)),set2(list(X0)),subseqs(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f5219])).
% 58.08/9.38 tff(f5219,axiom,(
% 58.08/9.38 ! [X0 : $tType,X64 : list(X0)] : member(list(X0),X64,aa(list(list(X0)),set(list(X0)),set2(list(X0)),subseqs(X0,X64)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5218_subseqs__refl)).
% 58.08/9.38 tff(f111957,plain,(
% 58.08/9.38 spl5880_5122),
% 58.08/9.38 inference(avatar_split_clause,[],[f56744,f111955])).
% 58.08/9.38 tff(f111955,plain,(
% 58.08/9.38 spl5880_5122 <=> ! [X0 : nat,X1 : nat] : aa(nat,nat,binomial(X1),X0) = aa(nat,nat,aTP_Lamp_fi(nat,fun(nat,nat),X0),X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5122])])).
% 58.08/9.38 tff(f56744,plain,(
% 58.08/9.38 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,binomial(X1),X0) = aa(nat,nat,aTP_Lamp_fi(nat,fun(nat,nat),X0),X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25297])).
% 58.08/9.38 tff(f25297,plain,(
% 58.08/9.38 ! [X0 : nat,X1 : nat] : aa(nat,nat,binomial(X1),X0) = aa(nat,nat,aTP_Lamp_fi(nat,fun(nat,nat),X0),X1)),
% 58.08/9.38 inference(rectify,[],[f8392])).
% 58.08/9.38 tff(f8392,axiom,(
% 58.08/9.38 ! [X105 : nat,X448 : nat] : aa(nat,nat,aTP_Lamp_fi(nat,fun(nat,nat),X105),X448) = aa(nat,nat,binomial(X448),X105)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8391_ATP_Olambda__211)).
% 58.08/9.38 tff(f111953,plain,(
% 58.08/9.38 spl5880_5121),
% 58.08/9.38 inference(avatar_split_clause,[],[f56743,f111951])).
% 58.08/9.38 tff(f111951,plain,(
% 58.08/9.38 spl5880_5121 <=> ! [X0 : real,X1 : nat] : aa(real,real,root(X1),X0) = aa(nat,real,aTP_Lamp_uc(real,fun(nat,real),X0),X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5121])])).
% 58.08/9.38 tff(f56743,plain,(
% 58.08/9.38 ( ! [X0 : real,X1 : nat] : (aa(real,real,root(X1),X0) = aa(nat,real,aTP_Lamp_uc(real,fun(nat,real),X0),X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25296])).
% 58.08/9.38 tff(f25296,plain,(
% 58.08/9.38 ! [X0 : real,X1 : nat] : aa(real,real,root(X1),X0) = aa(nat,real,aTP_Lamp_uc(real,fun(nat,real),X0),X1)),
% 58.08/9.38 inference(rectify,[],[f8395])).
% 58.08/9.38 tff(f8395,axiom,(
% 58.08/9.38 ! [X105 : real,X448 : nat] : aa(nat,real,aTP_Lamp_uc(real,fun(nat,real),X105),X448) = aa(real,real,root(X448),X105)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8394_ATP_Olambda__214)).
% 58.08/9.38 tff(f111949,plain,(
% 58.08/9.38 spl5880_5120),
% 58.08/9.38 inference(avatar_split_clause,[],[f56742,f111947])).
% 58.08/9.38 tff(f111947,plain,(
% 58.08/9.38 spl5880_5120 <=> ! [X0 : real,X1 : real] : aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1) = real_V8093663219630862766scaleR(real,X0,X1)),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5120])])).
% 58.08/9.38 tff(f56742,plain,(
% 58.08/9.38 ( ! [X0 : real,X1 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1) = real_V8093663219630862766scaleR(real,X0,X1)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25295])).
% 58.08/9.38 tff(f25295,plain,(
% 58.08/9.38 ! [X0 : real,X1 : real] : aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1) = real_V8093663219630862766scaleR(real,X0,X1)),
% 58.08/9.38 inference(rectify,[],[f4048])).
% 58.08/9.38 tff(f4048,axiom,(
% 58.08/9.38 ! [X11 : real,X9 : real] : real_V8093663219630862766scaleR(real,X11,X9) = aa(real,real,aa(real,fun(real,real),times_times(real),X11),X9)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4047_real__scaleR__def)).
% 58.08/9.38 tff(f111945,plain,(
% 58.08/9.38 spl5880_5119),
% 58.08/9.38 inference(avatar_split_clause,[],[f56649,f111943])).
% 58.08/9.38 tff(f111943,plain,(
% 58.08/9.38 spl5880_5119 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),exp(real,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5119])])).
% 58.08/9.38 tff(f56649,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),exp(real,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14483])).
% 58.08/9.38 tff(f14483,plain,(
% 58.08/9.38 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),exp(real,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14482])).
% 58.08/9.38 tff(f14482,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),exp(real,X0))),
% 58.08/9.38 inference(rectify,[],[f2969])).
% 58.08/9.38 tff(f2969,axiom,(
% 58.08/9.38 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),exp(real,X9))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2968_exp__ge__zero)).
% 58.08/9.38 tff(f111941,plain,(
% 58.08/9.38 spl5880_5118),
% 58.08/9.38 inference(avatar_split_clause,[],[f56648,f111939])).
% 58.08/9.38 tff(f111939,plain,(
% 58.08/9.38 spl5880_5118 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),cosh(real,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5118])])).
% 58.08/9.38 tff(f56648,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),cosh(real,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14481])).
% 58.08/9.38 tff(f14481,plain,(
% 58.08/9.38 ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),cosh(real,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14480])).
% 58.08/9.38 tff(f14480,plain,(
% 58.08/9.38 ! [X0 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),cosh(real,X0))),
% 58.08/9.38 inference(rectify,[],[f4471])).
% 58.08/9.38 tff(f4471,axiom,(
% 58.08/9.38 ! [X9 : real] : aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),cosh(real,X9))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4470_cosh__real__nonneg)).
% 58.08/9.38 tff(f111937,plain,(
% 58.08/9.38 spl5880_5117),
% 58.08/9.38 inference(avatar_split_clause,[],[f56645,f111935])).
% 58.08/9.38 tff(f111935,plain,(
% 58.08/9.38 spl5880_5117 <=> ! [X0 : nat] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5117])])).
% 58.08/9.38 tff(f56645,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14475])).
% 58.08/9.38 tff(f14475,plain,(
% 58.08/9.38 ! [X0 : nat] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14474])).
% 58.08/9.38 tff(f14474,plain,(
% 58.08/9.38 ! [X0 : nat] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0))),
% 58.08/9.38 inference(rectify,[],[f2987])).
% 58.08/9.38 tff(f2987,axiom,(
% 58.08/9.38 ! [X8 : nat] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X8))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2986_mask__nonnegative__int)).
% 58.08/9.38 tff(f111933,plain,(
% 58.08/9.38 spl5880_5116),
% 58.08/9.38 inference(avatar_split_clause,[],[f56644,f111931])).
% 58.08/9.38 tff(f111931,plain,(
% 58.08/9.38 spl5880_5116 <=> ! [X0 : set(int)] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5116])])).
% 58.08/9.38 tff(f56644,plain,(
% 58.08/9.38 ( ! [X0 : set(int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f14473])).
% 58.08/9.38 tff(f14473,plain,(
% 58.08/9.38 ! [X0 : set(int)] : ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))),
% 58.08/9.38 inference(fool_elimination,[],[f14472])).
% 58.08/9.38 tff(f14472,plain,(
% 58.08/9.38 ! [X0 : set(int)] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0))),
% 58.08/9.38 inference(rectify,[],[f7166])).
% 58.08/9.38 tff(f7166,axiom,(
% 58.08/9.38 ! [X243 : set(int)] : aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X243))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7165_Gcd__int__greater__eq__0)).
% 58.08/9.38 tff(f111929,plain,(
% 58.08/9.38 spl5880_5115),
% 58.08/9.38 inference(avatar_split_clause,[],[f56610,f111927])).
% 58.08/9.38 tff(f111927,plain,(
% 58.08/9.38 spl5880_5115 <=> ! [X0 : real] : ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X0)),zero_zero(real)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5115])])).
% 58.08/9.38 tff(f56610,plain,(
% 58.08/9.38 ( ! [X0 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X0)),zero_zero(real)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25239])).
% 58.08/9.38 tff(f25239,plain,(
% 58.08/9.38 ! [X0 : real] : ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X0)),zero_zero(real)))),
% 58.08/9.38 inference(flattening,[],[f14429])).
% 58.08/9.38 tff(f14429,plain,(
% 58.08/9.38 ! [X0 : real] : ~($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X0)),zero_zero(real)))),
% 58.08/9.38 inference(fool_elimination,[],[f14428])).
% 58.08/9.38 tff(f14428,plain,(
% 58.08/9.38 ! [X0 : real] : ~aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X0)),zero_zero(real))),
% 58.08/9.38 inference(rectify,[],[f2968])).
% 58.08/9.38 tff(f2968,axiom,(
% 58.08/9.38 ! [X9 : real] : ~aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),exp(real,X9)),zero_zero(real))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2967_not__exp__le__zero)).
% 58.08/9.38 tff(f111925,plain,(
% 58.08/9.38 spl5880_5114),
% 58.08/9.38 inference(avatar_split_clause,[],[f56609,f111923])).
% 58.08/9.38 tff(f111923,plain,(
% 58.08/9.38 spl5880_5114 <=> ! [X0 : nat] : ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5114])])).
% 58.08/9.38 tff(f56609,plain,(
% 58.08/9.38 ( ! [X0 : nat] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f25238])).
% 58.08/9.38 tff(f25238,plain,(
% 58.08/9.38 ! [X0 : nat] : ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 58.08/9.38 inference(flattening,[],[f14427])).
% 58.08/9.38 tff(f14427,plain,(
% 58.08/9.38 ! [X0 : nat] : ~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 58.08/9.38 inference(fool_elimination,[],[f14426])).
% 58.08/9.38 tff(f14426,plain,(
% 58.08/9.38 ! [X0 : nat] : ~aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int))),
% 58.08/9.38 inference(rectify,[],[f2988])).
% 58.08/9.38 tff(f2988,axiom,(
% 58.08/9.38 ! [X8 : nat] : ~aa(int,$o,aa(int,fun(int,$o),ord_less(int),bit_se2239418461657761734s_mask(int,X8)),zero_zero(int))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2987_not__mask__negative__int)).
% 58.08/9.38 tff(f111921,plain,(
% 58.08/9.38 spl5880_5113),
% 58.08/9.38 inference(avatar_split_clause,[],[f56531,f111919])).
% 58.08/9.38 tff(f111919,plain,(
% 58.08/9.38 spl5880_5113 <=> ! [X0 : num] : (one2 = X0 | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5113])])).
% 58.08/9.38 tff(f56531,plain,(
% 58.08/9.38 ( ! [X0 : num] : (one2 = X0 | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40939])).
% 58.08/9.38 tff(f40939,plain,(
% 58.08/9.38 ! [X0 : num] : ((($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2)) | one2 != X0) & (one2 = X0 | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2))))),
% 58.08/9.38 inference(nnf_transformation,[],[f14321])).
% 58.08/9.38 tff(f14321,plain,(
% 58.08/9.38 ! [X0 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2)) <=> one2 = X0)),
% 58.08/9.38 inference(fool_elimination,[],[f14320])).
% 58.08/9.38 tff(f14320,plain,(
% 58.08/9.38 ! [X0 : num] : (aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X0),one2) <=> one2 = X0)),
% 58.08/9.38 inference(rectify,[],[f407])).
% 58.08/9.38 tff(f407,axiom,(
% 58.08/9.38 ! [X9 : num] : (aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X9),one2) <=> one2 = X9)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_406_le__num__One__iff)).
% 58.08/9.38 tff(f111917,plain,(
% 58.08/9.38 spl5880_5112),
% 58.08/9.38 inference(avatar_split_clause,[],[f56489,f111915])).
% 58.08/9.38 tff(f111915,plain,(
% 58.08/9.38 spl5880_5112 <=> ! [X0 : fun(nat,$o)] : (eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5112])])).
% 58.08/9.38 tff(f56489,plain,(
% 58.08/9.38 ( ! [X0 : fun(nat,$o)] : (eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40908])).
% 58.08/9.38 tff(f40908,plain,(
% 58.08/9.38 ! [X0 : fun(nat,$o)] : ((eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat))) & (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat))))),
% 58.08/9.38 inference(nnf_transformation,[],[f25210])).
% 58.08/9.38 tff(f25210,plain,(
% 58.08/9.38 ! [X0 : fun(nat,$o)] : (eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat)) <=> eventually(nat,X0,at_top(nat)))),
% 58.08/9.38 inference(rectify,[],[f6453])).
% 58.08/9.38 tff(f6453,axiom,(
% 58.08/9.38 ! [X26 : fun(nat,$o)] : (eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X26),at_top(nat)) <=> eventually(nat,X26,at_top(nat)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6452_eventually__sequentially__Suc)).
% 58.08/9.38 tff(f111913,plain,(
% 58.08/9.38 spl5880_5111),
% 58.08/9.38 inference(avatar_split_clause,[],[f56488,f111911])).
% 58.08/9.38 tff(f111911,plain,(
% 58.08/9.38 spl5880_5111 <=> ! [X0 : fun(nat,$o)] : (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat)))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5111])])).
% 58.08/9.38 tff(f56488,plain,(
% 58.08/9.38 ( ! [X0 : fun(nat,$o)] : (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wd(fun(nat,$o),fun(nat,$o),X0),at_top(nat))) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40908])).
% 58.08/9.38 tff(f111909,plain,(
% 58.08/9.38 spl5880_5110),
% 58.08/9.38 inference(avatar_split_clause,[],[f55793,f111907])).
% 58.08/9.38 tff(f111907,plain,(
% 58.08/9.38 spl5880_5110 <=> ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = cos(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5110])])).
% 58.08/9.38 tff(f55793,plain,(
% 58.08/9.38 ( ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = cos(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f32312])).
% 58.08/9.38 tff(f32312,plain,(
% 58.08/9.38 ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = cos(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.38 inference(flattening,[],[f32311])).
% 58.08/9.38 tff(f32311,plain,(
% 58.08/9.38 ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = cos(X0,real_Vector_of_real(X0,pi)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.38 inference(ennf_transformation,[],[f3674])).
% 58.08/9.38 tff(f3674,axiom,(
% 58.08/9.38 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = cos(X0,real_Vector_of_real(X0,pi)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3673_cos__of__real__pi)).
% 58.08/9.38 tff(f111905,plain,(
% 58.08/9.38 spl5880_5109),
% 58.08/9.38 inference(avatar_split_clause,[],[f55647,f111903])).
% 58.08/9.38 tff(f111903,plain,(
% 58.08/9.38 spl5880_5109 <=> ! [X0 : set(nat)] : (strict_mono_on(nat,nat,sK2992(X0),set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0))) | ~finite_finite(nat,X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5109])])).
% 58.08/9.38 tff(f55647,plain,(
% 58.08/9.38 ( ! [X0 : set(nat)] : (strict_mono_on(nat,nat,sK2992(X0),set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0))) | ~finite_finite(nat,X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40416])).
% 58.08/9.38 tff(f40416,plain,(
% 58.08/9.38 ! [X0 : set(nat)] : ((! [X2 : nat] : (member(nat,aa(nat,nat,sK2992(X0),X2),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0)))) & strict_mono_on(nat,nat,sK2992(X0),set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))) | ~finite_finite(nat,X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2992])],[f32152,f40415])).
% 58.08/9.38 tff(f40415,plain,(
% 58.08/9.38 ! [X0 : set(nat)] : (? [X1 : fun(nat,nat)] : (! [X2 : nat] : (member(nat,aa(nat,nat,X1,X2),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0)))) & strict_mono_on(nat,nat,X1,set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))) => (! [X2 : nat] : (member(nat,aa(nat,nat,sK2992(X0),X2),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0)))) & strict_mono_on(nat,nat,sK2992(X0),set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f32152,plain,(
% 58.08/9.38 ! [X0 : set(nat)] : (? [X1 : fun(nat,nat)] : (! [X2 : nat] : (member(nat,aa(nat,nat,X1,X2),X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0)))) & strict_mono_on(nat,nat,X1,set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))) | ~finite_finite(nat,X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13544])).
% 58.08/9.38 tff(f13544,plain,(
% 58.08/9.38 ! [X0 : set(nat)] : (finite_finite(nat,X0) => ? [X1 : fun(nat,nat)] : (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0))) => member(nat,aa(nat,nat,X1,X2),X0)) & strict_mono_on(nat,nat,X1,set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))))),
% 58.08/9.38 inference(fool_elimination,[],[f13543])).
% 58.08/9.38 tff(f13543,plain,(
% 58.08/9.38 ! [X0 : set(nat)] : (finite_finite(nat,X0) => ? [X1 : fun(nat,nat)] : (! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(set(nat),nat,finite_card(nat),X0)) => member(nat,aa(nat,nat,X1,X2),X0)) & strict_mono_on(nat,nat,X1,set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X0)))))),
% 58.08/9.38 inference(rectify,[],[f5646])).
% 58.08/9.38 tff(f5646,axiom,(
% 58.08/9.38 ! [X93 : set(nat)] : (finite_finite(nat,X93) => ? [X201 : fun(nat,nat)] : (! [X256 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X256),aa(set(nat),nat,finite_card(nat),X93)) => member(nat,aa(nat,nat,X201,X256),X93)) & strict_mono_on(nat,nat,X201,set_ord_lessThan(nat,aa(set(nat),nat,finite_card(nat),X93)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5645_finite__enumerate)).
% 58.08/9.38 tff(f111901,plain,(
% 58.08/9.38 spl5880_5108),
% 58.08/9.38 inference(avatar_split_clause,[],[f55508,f111899])).
% 58.08/9.38 tff(f111899,plain,(
% 58.08/9.38 spl5880_5108 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2953(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5108])])).
% 58.08/9.38 tff(f55508,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2953(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40304])).
% 58.08/9.38 tff(f40304,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : X0] : (sK2953(X0,X1) = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),sK2953(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2953(X0,X1),X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2953])],[f32061,f40303])).
% 58.08/9.38 tff(f40303,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (sK2953(X0,X1) = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),sK2953(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2953(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f32061,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(flattening,[],[f32060])).
% 58.08/9.38 tff(f32060,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((? [X2 : X0] : (! [X3 : X0] : ((X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13411])).
% 58.08/9.38 tff(f13411,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) => X2 = X3)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(fool_elimination,[],[f13410])).
% 58.08/9.38 tff(f13410,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2) => X2 = X3)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(rectify,[],[f1830])).
% 58.08/9.38 tff(f1830,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X27 : set(X0)] : (finite_finite(X0,X27) => (bot_bot(set(X0)) != X27 => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X98),X29) => X29 = X98)) & member(X0,X29,X27)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1829_finite__has__minimal)).
% 58.08/9.38 tff(f111897,plain,(
% 58.08/9.38 spl5880_5107),
% 58.08/9.38 inference(avatar_split_clause,[],[f55506,f111895])).
% 58.08/9.38 tff(f111895,plain,(
% 58.08/9.38 spl5880_5107 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2952(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5107])])).
% 58.08/9.38 tff(f55506,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2952(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40302])).
% 58.08/9.38 tff(f40302,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : X0] : (sK2952(X0,X1) = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2952(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2952(X0,X1),X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2952])],[f32059,f40301])).
% 58.08/9.38 tff(f40301,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (sK2952(X0,X1) = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2952(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2952(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f32059,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(flattening,[],[f32058])).
% 58.08/9.38 tff(f32058,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((? [X2 : X0] : (! [X3 : X0] : ((X2 = X3 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13409])).
% 58.08/9.38 tff(f13409,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => X2 = X3)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(fool_elimination,[],[f13408])).
% 58.08/9.38 tff(f13408,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3) => X2 = X3)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(rectify,[],[f1831])).
% 58.08/9.38 tff(f1831,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X27 : set(X0)] : (finite_finite(X0,X27) => (bot_bot(set(X0)) != X27 => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X29),X98) => X29 = X98)) & member(X0,X29,X27)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1830_finite__has__maximal)).
% 58.08/9.38 tff(f111893,plain,(
% 58.08/9.38 spl5880_5106),
% 58.08/9.38 inference(avatar_split_clause,[],[f55504,f111891])).
% 58.08/9.38 tff(f111891,plain,(
% 58.08/9.38 spl5880_5106 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2951(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5106])])).
% 58.08/9.38 tff(f55504,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2951(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1) | ~order(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40300])).
% 58.08/9.38 tff(f40300,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2951(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2951(X0,X1),X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2951])],[f32057,f40299])).
% 58.08/9.38 tff(f40299,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),sK2951(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2951(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f32057,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1 | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(flattening,[],[f32056])).
% 58.08/9.38 tff(f32056,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13407])).
% 58.08/9.38 tff(f13407,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (~? [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) & member(X0,X3,X1)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(fool_elimination,[],[f13406])).
% 58.08/9.38 tff(f13406,plain,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0)] : (finite_finite(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (~? [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2) & member(X0,X3,X1)) & member(X0,X2,X1)))))),
% 58.08/9.38 inference(rectify,[],[f1848])).
% 58.08/9.38 tff(f1848,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (order(X0) => ! [X93 : set(X0)] : (finite_finite(X0,X93) => (bot_bot(set(X0)) != X93 => ? [X29 : X0] : (~? [X98 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X98),X29) & member(X0,X98,X93)) & member(X0,X29,X93)))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1847_ex__min__if__finite)).
% 58.08/9.38 tff(f111889,plain,(
% 58.08/9.38 spl5880_5105),
% 58.08/9.38 inference(avatar_split_clause,[],[f55309,f111887])).
% 58.08/9.38 tff(f111887,plain,(
% 58.08/9.38 spl5880_5105 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (lattic5882676163264333800up_fin(X0,X1) = iG560(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~semilattice_sup(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5105])])).
% 58.08/9.38 tff(f55309,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (lattic5882676163264333800up_fin(X0,X1) = iG560(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~semilattice_sup(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31912])).
% 58.08/9.38 tff(f31912,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : (lattic5882676163264333800up_fin(X0,X1) = iG560(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~semilattice_sup(X0))),
% 58.08/9.38 inference(flattening,[],[f31911])).
% 58.08/9.38 tff(f31911,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((lattic5882676163264333800up_fin(X0,X1) = iG560(X0,X2,X1) | ~member(X0,X2,X1)) | ~finite_finite(X0,X1)) | ~semilattice_sup(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13191])).
% 58.08/9.38 tff(f13191,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => lattic5882676163264333800up_fin(X0,X1) = iG560(X0,X2,X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f13189,f13190])).
% 58.08/9.38 tff(f13190,plain,(
% 58.08/9.38 ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG560(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG560(X0,X2,X1) = X2)),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG560])])).
% 58.08/9.38 tff(f13189,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => lattic5882676163264333800up_fin(X0,X1) = $ite(bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))), X2,aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))))))))))),
% 58.08/9.38 inference(rectify,[],[f7446])).
% 58.08/9.38 tff(f7446,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X27 : set(X0),X9 : X0] : (finite_finite(X0,X27) => (member(X0,X9,X27) => lattic5882676163264333800up_fin(X0,X27) = $ite(bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0)))), X9,aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X9),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0))))))))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7445_Sup__fin_Oremove)).
% 58.08/9.38 tff(f111885,plain,(
% 58.08/9.38 spl5880_5104),
% 58.08/9.38 inference(avatar_split_clause,[],[f55306,f111883])).
% 58.08/9.38 tff(f111883,plain,(
% 58.08/9.38 spl5880_5104 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic5882676163264333800up_fin(X0,X1) | finite_finite(X0,X1) | ~semilattice_sup(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5104])])).
% 58.08/9.38 tff(f55306,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic5882676163264333800up_fin(X0,X1) | finite_finite(X0,X1) | ~semilattice_sup(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31908])).
% 58.08/9.38 tff(f31908,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic5882676163264333800up_fin(X0,X1) | finite_finite(X0,X1)) | ~semilattice_sup(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24886])).
% 58.08/9.38 tff(f24886,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : set(X0)] : (~finite_finite(X0,X1) => aa(option(X0),X0,the2(X0),none(X0)) = lattic5882676163264333800up_fin(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f7443])).
% 58.08/9.38 tff(f7443,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X27 : set(X0)] : (~finite_finite(X0,X27) => aa(option(X0),X0,the2(X0),none(X0)) = lattic5882676163264333800up_fin(X0,X27)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7442_Sup__fin_Oinfinite)).
% 58.08/9.38 tff(f111874,plain,(
% 58.08/9.38 spl5880_5103),
% 58.08/9.38 inference(avatar_split_clause,[],[f55245,f111872])).
% 58.08/9.38 tff(f111872,plain,(
% 58.08/9.38 spl5880_5103 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (lattic7752659483105999362nf_fin(X0,X1) = iG558(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~semilattice_inf(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5103])])).
% 58.08/9.38 tff(f55245,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (lattic7752659483105999362nf_fin(X0,X1) = iG558(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~semilattice_inf(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31854])).
% 58.08/9.38 tff(f31854,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : (lattic7752659483105999362nf_fin(X0,X1) = iG558(X0,X2,X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~semilattice_inf(X0))),
% 58.08/9.38 inference(flattening,[],[f31853])).
% 58.08/9.38 tff(f31853,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((lattic7752659483105999362nf_fin(X0,X1) = iG558(X0,X2,X1) | ~member(X0,X2,X1)) | ~finite_finite(X0,X1)) | ~semilattice_inf(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f13103])).
% 58.08/9.38 tff(f13103,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => lattic7752659483105999362nf_fin(X0,X1) = iG558(X0,X2,X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f13101,f13102])).
% 58.08/9.38 tff(f13102,plain,(
% 58.08/9.38 ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG558(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG558(X0,X2,X1) = X2)),
% 58.08/9.38 introduced(fool_ite_definition,[new_symbols(definition,[iG558])])).
% 58.08/9.38 tff(f13101,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => lattic7752659483105999362nf_fin(X0,X1) = $ite(bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))), X2,aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))))))))))),
% 58.08/9.38 inference(rectify,[],[f7478])).
% 58.08/9.38 tff(f7478,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X27 : set(X0),X9 : X0] : (finite_finite(X0,X27) => (member(X0,X9,X27) => lattic7752659483105999362nf_fin(X0,X27) = $ite(bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0)))), X9,aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X9),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0))))))))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7477_Inf__fin_Oremove)).
% 58.08/9.38 tff(f111870,plain,(
% 58.08/9.38 spl5880_5102),
% 58.08/9.38 inference(avatar_split_clause,[],[f55242,f111868])).
% 58.08/9.38 tff(f111868,plain,(
% 58.08/9.38 spl5880_5102 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic7752659483105999362nf_fin(X0,X1) | finite_finite(X0,X1) | ~semilattice_inf(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5102])])).
% 58.08/9.38 tff(f55242,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic7752659483105999362nf_fin(X0,X1) | finite_finite(X0,X1) | ~semilattice_inf(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31850])).
% 58.08/9.38 tff(f31850,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (aa(option(X0),X0,the2(X0),none(X0)) = lattic7752659483105999362nf_fin(X0,X1) | finite_finite(X0,X1)) | ~semilattice_inf(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24880])).
% 58.08/9.38 tff(f24880,plain,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : set(X0)] : (~finite_finite(X0,X1) => aa(option(X0),X0,the2(X0),none(X0)) = lattic7752659483105999362nf_fin(X0,X1)))),
% 58.08/9.38 inference(rectify,[],[f7467])).
% 58.08/9.38 tff(f7467,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X27 : set(X0)] : (~finite_finite(X0,X27) => aa(option(X0),X0,the2(X0),none(X0)) = lattic7752659483105999362nf_fin(X0,X27)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7466_Inf__fin_Oinfinite)).
% 58.08/9.38 tff(f111866,plain,(
% 58.08/9.38 spl5880_5101),
% 58.08/9.38 inference(avatar_split_clause,[],[f55024,f111864])).
% 58.08/9.38 tff(f111864,plain,(
% 58.08/9.38 spl5880_5101 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : X0] : (eventually(X0,X2,at_top(X0)) | ($true != aa(X0,$o,X2,sK2895(X0,X1,X2))) | ~linorder(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5101])])).
% 58.08/9.38 tff(f55024,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : X0] : (eventually(X0,X2,at_top(X0)) | ($true != aa(X0,$o,X2,sK2895(X0,X1,X2))) | ~linorder(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f40084])).
% 58.08/9.38 tff(f40084,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : fun(X0,$o)] : (eventually(X0,X2,at_top(X0)) | (($true != aa(X0,$o,X2,sK2895(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),sK2895(X0,X1,X2))))) | ~linorder(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2895])],[f31719,f40083])).
% 58.08/9.38 tff(f40083,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (? [X3 : X0] : (($true != aa(X0,$o,X2,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3))) => (($true != aa(X0,$o,X2,sK2895(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),sK2895(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f31719,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : fun(X0,$o)] : (eventually(X0,X2,at_top(X0)) | ? [X3 : X0] : (($true != aa(X0,$o,X2,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)))) | ~linorder(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f12901])).
% 58.08/9.38 tff(f12901,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : fun(X0,$o)] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)) => ($true = aa(X0,$o,X2,X3))) => eventually(X0,X2,at_top(X0))))),
% 58.08/9.38 inference(fool_elimination,[],[f12900])).
% 58.08/9.38 tff(f12900,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : fun(X0,$o)] : (! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3) => aa(X0,$o,X2,X3)) => eventually(X0,X2,at_top(X0))))),
% 58.08/9.38 inference(rectify,[],[f6465])).
% 58.08/9.38 tff(f6465,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X17 : X0,X26 : fun(X0,$o)] : (! [X29 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),X29) => aa(X0,$o,X26,X29)) => eventually(X0,X26,at_top(X0))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6464_eventually__at__top__linorderI)).
% 58.08/9.38 tff(f111862,plain,(
% 58.08/9.38 spl5880_5100),
% 58.08/9.38 inference(avatar_split_clause,[],[f54910,f111860])).
% 58.08/9.38 tff(f111860,plain,(
% 58.08/9.38 spl5880_5100 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,at_top(X0)) | ($true != aa(X0,$o,X1,sK2857(X0,X1,X2))) | ~linorder(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5100])])).
% 58.08/9.38 tff(f54910,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,at_top(X0)) | ($true != aa(X0,$o,X1,sK2857(X0,X1,X2))) | ~linorder(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39991])).
% 58.08/9.38 tff(f39991,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : (($true != aa(X0,$o,X1,sK2857(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),sK2857(X0,X1,X2))))) & (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2858(X0,X1)),X5))) | ~eventually(X0,X1,at_top(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2857,sK2858])],[f39988,f39990,f39989])).
% 58.08/9.38 tff(f39989,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0] : (? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))) => (($true != aa(X0,$o,X1,sK2857(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),sK2857(X0,X1,X2)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f39990,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X4 : X0] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X5))) => ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2858(X0,X1)),X5))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f39988,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)))) & (? [X4 : X0] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X5))) | ~eventually(X0,X1,at_top(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(rectify,[],[f39987])).
% 58.08/9.38 tff(f39987,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)))) & (? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))) | ~eventually(X0,X1,at_top(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f31625])).
% 58.08/9.38 tff(f31625,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)))) | ~linorder(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f12800])).
% 58.08/9.38 tff(f12800,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => ($true = aa(X0,$o,X1,X3)))))),
% 58.08/9.38 inference(fool_elimination,[],[f12799])).
% 58.08/9.38 tff(f12799,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3) => aa(X0,$o,X1,X3))))),
% 58.08/9.38 inference(rectify,[],[f6464])).
% 58.08/9.38 tff(f6464,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X26 : fun(X0,$o)] : (eventually(X0,X26,at_top(X0)) <=> ? [X251 : X0] : ! [X193 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X251),X193) => aa(X0,$o,X26,X193))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6463_eventually__at__top__linorder)).
% 58.08/9.38 tff(f111858,plain,(
% 58.08/9.38 spl5880_5099),
% 58.08/9.38 inference(avatar_split_clause,[],[f54907,f111856])).
% 58.08/9.38 tff(f111856,plain,(
% 58.08/9.38 spl5880_5099 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,at_bot(X0)) | ($true != aa(X0,$o,X1,sK2855(X0,X1,X2))) | ~linorder(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5099])])).
% 58.08/9.38 tff(f54907,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,at_bot(X0)) | ($true != aa(X0,$o,X1,sK2855(X0,X1,X2))) | ~linorder(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39986])).
% 58.08/9.38 tff(f39986,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : (($true != aa(X0,$o,X1,sK2855(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2855(X0,X1,X2)),X2)))) & (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),sK2856(X0,X1)))) | ~eventually(X0,X1,at_bot(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2855,sK2856])],[f39983,f39985,f39984])).
% 58.08/9.38 tff(f39984,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o),X2 : X0] : (? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) => (($true != aa(X0,$o,X1,sK2855(X0,X1,X2))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2855(X0,X1,X2)),X2))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f39985,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X4 : X0] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),X4))) => ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),sK2856(X0,X1)))))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f39983,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)))) & (? [X4 : X0] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),X4))) | ~eventually(X0,X1,at_bot(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(rectify,[],[f39982])).
% 58.08/9.38 tff(f39982,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)))) & (? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) | ~eventually(X0,X1,at_bot(X0)))) | ~linorder(X0))),
% 58.08/9.38 inference(nnf_transformation,[],[f31624])).
% 58.08/9.38 tff(f31624,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)))) | ~linorder(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f12798])).
% 58.08/9.38 tff(f12798,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) => ($true = aa(X0,$o,X1,X3)))))),
% 58.08/9.38 inference(fool_elimination,[],[f12797])).
% 58.08/9.38 tff(f12797,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2) => aa(X0,$o,X1,X3))))),
% 58.08/9.38 inference(rectify,[],[f6472])).
% 58.08/9.38 tff(f6472,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X26 : fun(X0,$o)] : (eventually(X0,X26,at_bot(X0)) <=> ? [X251 : X0] : ! [X193 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X193),X251) => aa(X0,$o,X26,X193))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6471_eventually__at__bot__linorder)).
% 58.08/9.38 tff(f111854,plain,(
% 58.08/9.38 spl5880_5098),
% 58.08/9.38 inference(avatar_split_clause,[],[f54902,f111852])).
% 58.08/9.38 tff(f111852,plain,(
% 58.08/9.38 spl5880_5098 <=> ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) | member(X0,sK2854(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~linorder(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5098])])).
% 58.08/9.38 tff(f54902,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) | member(X0,sK2854(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~linorder(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f39981])).
% 58.08/9.38 tff(f39981,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (~finite_finite(X0,X1) | (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2854(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2854(X0,X1),X1)) | bot_bot(set(X0)) = X1) | ~linorder(X0))),
% 58.08/9.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2854])],[f31622,f39980])).
% 58.08/9.38 tff(f39980,plain,(
% 58.08/9.38 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),sK2854(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2854(X0,X1),X1)))),
% 58.08/9.38 introduced(choice_axiom,[])).
% 58.08/9.38 tff(f31622,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : (~finite_finite(X0,X1) | ? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~linorder(X0))),
% 58.08/9.38 inference(flattening,[],[f31621])).
% 58.08/9.38 tff(f31621,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : set(X0)] : ((~finite_finite(X0,X1) | ? [X2 : X0] : (! [X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1))) | bot_bot(set(X0)) = X1) | ~linorder(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f12794])).
% 58.08/9.38 tff(f12794,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (bot_bot(set(X0)) != X1 => (! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) & member(X0,X3,X1))) => ~finite_finite(X0,X1))))),
% 58.08/9.38 inference(fool_elimination,[],[f12793])).
% 58.08/9.38 tff(f12793,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (bot_bot(set(X0)) != X1 => (! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3) & member(X0,X3,X1))) => ~finite_finite(X0,X1))))),
% 58.08/9.38 inference(rectify,[],[f1849])).
% 58.08/9.38 tff(f1849,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X160 : set(X0)] : (bot_bot(set(X0)) != X160 => (! [X29 : X0] : (member(X0,X29,X160) => ? [X98 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X29),X98) & member(X0,X98,X160))) => ~finite_finite(X0,X160))))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1848_infinite__growing)).
% 58.08/9.38 tff(f111850,plain,(
% 58.08/9.38 spl5880_5097),
% 58.08/9.38 inference(avatar_split_clause,[],[f54885,f111848])).
% 58.08/9.38 tff(f111848,plain,(
% 58.08/9.38 spl5880_5097 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),aTP_Lamp_kz(X0,fun(X0,$o)),X1),at_bot(X0)) | ~linorder(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5097])])).
% 58.08/9.38 tff(f54885,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),aTP_Lamp_kz(X0,fun(X0,$o)),X1),at_bot(X0)) | ~linorder(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31606])).
% 58.08/9.38 tff(f31606,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),aTP_Lamp_kz(X0,fun(X0,$o)),X1),at_bot(X0)) | ~linorder(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24829])).
% 58.08/9.38 tff(f24829,plain,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),aTP_Lamp_kz(X0,fun(X0,$o)),X1),at_bot(X0)))),
% 58.08/9.38 inference(rectify,[],[f6473])).
% 58.08/9.38 tff(f6473,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (linorder(X0) => ! [X17 : X0] : eventually(X0,aa(X0,fun(X0,$o),aTP_Lamp_kz(X0,fun(X0,$o)),X17),at_bot(X0)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6472_eventually__le__at__bot)).
% 58.08/9.38 tff(f111846,plain,(
% 58.08/9.38 spl5880_5096),
% 58.08/9.38 inference(avatar_split_clause,[],[f54740,f111844])).
% 58.08/9.38 tff(f111844,plain,(
% 58.08/9.38 spl5880_5096 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) | ~comm_monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5096])])).
% 58.08/9.38 tff(f54740,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) | ~comm_monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31460])).
% 58.08/9.38 tff(f31460,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) | ~comm_monoid_mult(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24748])).
% 58.08/9.38 tff(f24748,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0,X2 : X0] : dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))),
% 58.08/9.38 inference(rectify,[],[f1959])).
% 58.08/9.38 tff(f1959,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0,X12 : X0] : dvd_dvd(X0,X11,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1958_dvd__triv__left)).
% 58.08/9.38 tff(f111842,plain,(
% 58.08/9.38 spl5880_5095),
% 58.08/9.38 inference(avatar_split_clause,[],[f54739,f111840])).
% 58.08/9.38 tff(f111840,plain,(
% 58.08/9.38 spl5880_5095 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) | ~comm_monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5095])])).
% 58.08/9.38 tff(f54739,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) | ~comm_monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31459])).
% 58.08/9.38 tff(f31459,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) | ~comm_monoid_mult(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24747])).
% 58.08/9.38 tff(f24747,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0,X2 : X0] : dvd_dvd(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)))),
% 58.08/9.38 inference(rectify,[],[f1956])).
% 58.08/9.38 tff(f1956,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0,X12 : X0] : dvd_dvd(X0,X11,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X11)))),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1955_dvd__triv__right)).
% 58.08/9.38 tff(f111838,plain,(
% 58.08/9.38 spl5880_5094),
% 58.08/9.38 inference(avatar_split_clause,[],[f54738,f111836])).
% 58.08/9.38 tff(f111836,plain,(
% 58.08/9.38 spl5880_5094 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5094])])).
% 58.08/9.38 tff(f54738,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31458])).
% 58.08/9.38 tff(f31458,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24746])).
% 58.08/9.38 tff(f24746,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1)),
% 58.08/9.38 inference(rectify,[],[f521])).
% 58.08/9.38 tff(f521,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X11) = X11)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_520_comm__monoid__mult__class_Omult__1)).
% 58.08/9.38 tff(f111827,plain,(
% 58.08/9.38 spl5880_5093),
% 58.08/9.38 inference(avatar_split_clause,[],[f54737,f111825])).
% 58.08/9.38 tff(f111825,plain,(
% 58.08/9.38 spl5880_5093 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5093])])).
% 58.08/9.38 tff(f54737,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31457])).
% 58.08/9.38 tff(f31457,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24745])).
% 58.08/9.38 tff(f24745,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1)),
% 58.08/9.38 inference(rectify,[],[f520])).
% 58.08/9.38 tff(f520,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),one_one(X0)) = X11)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_519_mult_Ocomm__neutral)).
% 58.08/9.38 tff(f111823,plain,(
% 58.08/9.38 spl5880_5092),
% 58.08/9.38 inference(avatar_split_clause,[],[f54656,f111821])).
% 58.08/9.38 tff(f111821,plain,(
% 58.08/9.38 spl5880_5092 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5092])])).
% 58.08/9.38 tff(f54656,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31374])).
% 58.08/9.38 tff(f31374,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24681])).
% 58.08/9.38 tff(f24681,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 58.08/9.38 inference(rectify,[],[f1086])).
% 58.08/9.38 tff(f1086,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X11) = X11)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1085_comm__monoid__add__class_Oadd__0)).
% 58.08/9.38 tff(f111819,plain,(
% 58.08/9.38 spl5880_5091),
% 58.08/9.38 inference(avatar_split_clause,[],[f54655,f111817])).
% 58.08/9.38 tff(f111817,plain,(
% 58.08/9.38 spl5880_5091 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5091])])).
% 58.08/9.38 tff(f54655,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31373])).
% 58.08/9.38 tff(f31373,plain,(
% 58.08/9.38 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0))),
% 58.08/9.38 inference(ennf_transformation,[],[f24680])).
% 58.08/9.38 tff(f24680,plain,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.38 inference(rectify,[],[f1085])).
% 58.08/9.38 tff(f1085,axiom,(
% 58.08/9.38 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1084_add_Ocomm__neutral)).
% 58.08/9.38 tff(f111815,plain,(
% 58.08/9.38 spl5880_5090),
% 58.08/9.38 inference(avatar_split_clause,[],[f54633,f111813])).
% 58.08/9.38 tff(f111813,plain,(
% 58.08/9.38 spl5880_5090 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0))),
% 58.08/9.38 introduced(avatar_definition,[new_symbols(naming,[spl5880_5090])])).
% 58.08/9.38 tff(f54633,plain,(
% 58.08/9.38 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0)) )),
% 58.08/9.38 inference(cnf_transformation,[],[f31351])).
% 58.08/9.39 tff(f31351,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24661])).
% 58.08/9.39 tff(f24661,plain,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1)),
% 58.08/9.39 inference(rectify,[],[f491])).
% 58.08/9.39 tff(f491,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_mult(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X11) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_490_mult__1)).
% 58.08/9.39 tff(f111811,plain,(
% 58.08/9.39 spl5880_5089),
% 58.08/9.39 inference(avatar_split_clause,[],[f54632,f111809])).
% 58.08/9.39 tff(f111809,plain,(
% 58.08/9.39 spl5880_5089 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5089])])).
% 58.08/9.39 tff(f54632,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31350])).
% 58.08/9.39 tff(f31350,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24660])).
% 58.08/9.39 tff(f24660,plain,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f492])).
% 58.08/9.39 tff(f492,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_mult(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),one_one(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_491_mult_Oright__neutral)).
% 58.08/9.39 tff(f111807,plain,(
% 58.08/9.39 spl5880_5088),
% 58.08/9.39 inference(avatar_split_clause,[],[f54629,f111805])).
% 58.08/9.39 tff(f111805,plain,(
% 58.08/9.39 spl5880_5088 <=> ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ab(X0,X0) | ~monoid_mult(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5088])])).
% 58.08/9.39 tff(f54629,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ab(X0,X0) | ~monoid_mult(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31347])).
% 58.08/9.39 tff(f31347,plain,(
% 58.08/9.39 ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ab(X0,X0) | ~monoid_mult(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f671])).
% 58.08/9.39 tff(f671,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_mult(X0) => aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ab(X0,X0))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_670_lambda__one)).
% 58.08/9.39 tff(f111803,plain,(
% 58.08/9.39 spl5880_5087),
% 58.08/9.39 inference(avatar_split_clause,[],[f54521,f111801])).
% 58.08/9.39 tff(f111801,plain,(
% 58.08/9.39 spl5880_5087 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X1)) | ~order_bot(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5087])])).
% 58.08/9.39 tff(f54521,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X1)) | ~order_bot(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31251])).
% 58.08/9.39 tff(f31251,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X1)) | ~order_bot(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f12600])).
% 58.08/9.39 tff(f12600,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f12599])).
% 58.08/9.39 tff(f12599,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X1))),
% 58.08/9.39 inference(rectify,[],[f2206])).
% 58.08/9.39 tff(f2206,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X11 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),bot_bot(X0)),X11))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2205_bot_Oextremum)).
% 58.08/9.39 tff(f111799,plain,(
% 58.08/9.39 spl5880_5086),
% 58.08/9.39 inference(avatar_split_clause,[],[f54520,f111797])).
% 58.08/9.39 tff(f111797,plain,(
% 58.08/9.39 spl5880_5086 <=> ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5086])])).
% 58.08/9.39 tff(f54520,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31250])).
% 58.08/9.39 tff(f31250,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24591])).
% 58.08/9.39 tff(f24591,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0))))),
% 58.08/9.39 inference(flattening,[],[f12598])).
% 58.08/9.39 tff(f12598,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0))))),
% 58.08/9.39 inference(fool_elimination,[],[f12597])).
% 58.08/9.39 tff(f12597,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),bot_bot(X0)))),
% 58.08/9.39 inference(rectify,[],[f2208])).
% 58.08/9.39 tff(f2208,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (order_bot(X0) => ! [X11 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),bot_bot(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2207_bot_Oextremum__strict)).
% 58.08/9.39 tff(f111795,plain,(
% 58.08/9.39 spl5880_5085),
% 58.08/9.39 inference(avatar_split_clause,[],[f54479,f111793])).
% 58.08/9.39 tff(f111793,plain,(
% 58.08/9.39 spl5880_5085 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5085])])).
% 58.08/9.39 tff(f54479,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31230])).
% 58.08/9.39 tff(f31230,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24580])).
% 58.08/9.39 tff(f24580,plain,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 58.08/9.39 inference(rectify,[],[f856])).
% 58.08/9.39 tff(f856,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X11) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_855_add__0)).
% 58.08/9.39 tff(f111791,plain,(
% 58.08/9.39 spl5880_5084),
% 58.08/9.39 inference(avatar_split_clause,[],[f54478,f111789])).
% 58.08/9.39 tff(f111789,plain,(
% 58.08/9.39 spl5880_5084 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5084])])).
% 58.08/9.39 tff(f54478,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31229])).
% 58.08/9.39 tff(f31229,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24579])).
% 58.08/9.39 tff(f24579,plain,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f864])).
% 58.08/9.39 tff(f864,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (monoid_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_863_add_Oright__neutral)).
% 58.08/9.39 tff(f111780,plain,(
% 58.08/9.39 spl5880_5083),
% 58.08/9.39 inference(avatar_split_clause,[],[f54459,f111778])).
% 58.08/9.39 tff(f111778,plain,(
% 58.08/9.39 spl5880_5083 <=> ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_af(X0,X0) | ~mult_zero(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5083])])).
% 58.08/9.39 tff(f54459,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_af(X0,X0) | ~mult_zero(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31211])).
% 58.08/9.39 tff(f31211,plain,(
% 58.08/9.39 ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_af(X0,X0) | ~mult_zero(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f1131])).
% 58.08/9.39 tff(f1131,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (mult_zero(X0) => aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_af(X0,X0))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1130_lambda__zero)).
% 58.08/9.39 tff(f111776,plain,(
% 58.08/9.39 spl5880_5082),
% 58.08/9.39 inference(avatar_split_clause,[],[f54187,f111774])).
% 58.08/9.39 tff(f111774,plain,(
% 58.08/9.39 spl5880_5082 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1) | ~dvd_dvd(X0,X1,X2) | ~semidom_divide(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5082])])).
% 58.08/9.39 tff(f54187,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1) | ~dvd_dvd(X0,X1,X2) | ~semidom_divide(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39770])).
% 58.08/9.39 tff(f39770,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((zero_zero(X0) = divide_divide(X0,X2,X1) | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | zero_zero(X0) != divide_divide(X0,X2,X1))) | ~dvd_dvd(X0,X1,X2)) | ~semidom_divide(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f30996])).
% 58.08/9.39 tff(f30996,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X2,X1) <=> zero_zero(X0) = X2) | ~dvd_dvd(X0,X1,X2)) | ~semidom_divide(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24498])).
% 58.08/9.39 tff(f24498,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) => (zero_zero(X0) = divide_divide(X0,X2,X1) <=> zero_zero(X0) = X2)))),
% 58.08/9.39 inference(rectify,[],[f2000])).
% 58.08/9.39 tff(f2000,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semidom_divide(X0) => ! [X12 : X0,X11 : X0] : (dvd_dvd(X0,X12,X11) => (divide_divide(X0,X11,X12) = zero_zero(X0) <=> zero_zero(X0) = X11)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1999_dvd__div__eq__0__iff)).
% 58.08/9.39 tff(f111772,plain,(
% 58.08/9.39 spl5880_5081),
% 58.08/9.39 inference(avatar_split_clause,[],[f54178,f111770])).
% 58.08/9.39 tff(f111770,plain,(
% 58.08/9.39 spl5880_5081 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),top_top(X0))) | ~order_top(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5081])])).
% 58.08/9.39 tff(f54178,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),top_top(X0))) | ~order_top(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30986])).
% 58.08/9.39 tff(f30986,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),top_top(X0))) | ~order_top(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f12352])).
% 58.08/9.39 tff(f12352,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),top_top(X0))))),
% 58.08/9.39 inference(fool_elimination,[],[f12351])).
% 58.08/9.39 tff(f12351,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),top_top(X0)))),
% 58.08/9.39 inference(rectify,[],[f5968])).
% 58.08/9.39 tff(f5968,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X11 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),top_top(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5967_top__greatest)).
% 58.08/9.39 tff(f111768,plain,(
% 58.08/9.39 spl5880_5080),
% 58.08/9.39 inference(avatar_split_clause,[],[f54177,f111766])).
% 58.08/9.39 tff(f111766,plain,(
% 58.08/9.39 spl5880_5080 <=> ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5080])])).
% 58.08/9.39 tff(f54177,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30985])).
% 58.08/9.39 tff(f30985,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24490])).
% 58.08/9.39 tff(f24490,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1)))),
% 58.08/9.39 inference(flattening,[],[f12350])).
% 58.08/9.39 tff(f12350,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f12349])).
% 58.08/9.39 tff(f12349,plain,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X1))),
% 58.08/9.39 inference(rectify,[],[f5965])).
% 58.08/9.39 tff(f5965,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (order_top(X0) => ! [X11 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),top_top(X0)),X11))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5964_top_Oextremum__strict)).
% 58.08/9.39 tff(f111764,plain,(
% 58.08/9.39 spl5880_5079),
% 58.08/9.39 inference(avatar_split_clause,[],[f54128,f111762])).
% 58.08/9.39 tff(f111762,plain,(
% 58.08/9.39 spl5880_5079 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5079])])).
% 58.08/9.39 tff(f54128,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30946])).
% 58.08/9.39 tff(f30946,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24465])).
% 58.08/9.39 tff(f24465,plain,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f1654])).
% 58.08/9.39 tff(f1654,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1653_verit__sum__simplify)).
% 58.08/9.39 tff(f111760,plain,(
% 58.08/9.39 spl5880_5078),
% 58.08/9.39 inference(avatar_split_clause,[],[f54127,f111758])).
% 58.08/9.39 tff(f111758,plain,(
% 58.08/9.39 spl5880_5078 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5078])])).
% 58.08/9.39 tff(f54127,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30945])).
% 58.08/9.39 tff(f30945,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24464])).
% 58.08/9.39 tff(f24464,plain,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f867])).
% 58.08/9.39 tff(f867,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_866_diff__zero)).
% 58.08/9.39 tff(f111756,plain,(
% 58.08/9.39 spl5880_5077),
% 58.08/9.39 inference(avatar_split_clause,[],[f54126,f111754])).
% 58.08/9.39 tff(f111754,plain,(
% 58.08/9.39 spl5880_5077 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5077])])).
% 58.08/9.39 tff(f54126,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30944])).
% 58.08/9.39 tff(f30944,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24463])).
% 58.08/9.39 tff(f24463,plain,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1))),
% 58.08/9.39 inference(rectify,[],[f866])).
% 58.08/9.39 tff(f866,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X11),X11))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_865_cancel__comm__monoid__add__class_Odiff__cancel)).
% 58.08/9.39 tff(f111752,plain,(
% 58.08/9.39 spl5880_5076),
% 58.08/9.39 inference(avatar_split_clause,[],[f54022,f111750])).
% 58.08/9.39 tff(f111750,plain,(
% 58.08/9.39 spl5880_5076 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5076])])).
% 58.08/9.39 tff(f54022,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39724])).
% 58.08/9.39 tff(f39724,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))) & (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~ring_1(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f30857])).
% 58.08/9.39 tff(f30857,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))) | ~ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24404])).
% 58.08/9.39 tff(f24404,plain,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))))),
% 58.08/9.39 inference(rectify,[],[f7092])).
% 58.08/9.39 tff(f7092,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X18 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X18) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X18))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7091_eq__numeral__iff__iszero_I6_J)).
% 58.08/9.39 tff(f111748,plain,(
% 58.08/9.39 spl5880_5075),
% 58.08/9.39 inference(avatar_split_clause,[],[f54021,f111746])).
% 58.08/9.39 tff(f111746,plain,(
% 58.08/9.39 spl5880_5075 <=> ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5075])])).
% 58.08/9.39 tff(f54021,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39724])).
% 58.08/9.39 tff(f111744,plain,(
% 58.08/9.39 spl5880_5074),
% 58.08/9.39 inference(avatar_split_clause,[],[f54020,f111742])).
% 58.08/9.39 tff(f111742,plain,(
% 58.08/9.39 spl5880_5074 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5074])])).
% 58.08/9.39 tff(f54020,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39723])).
% 58.08/9.39 tff(f39723,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))) & (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~ring_1(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f30856])).
% 58.08/9.39 tff(f30856,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))) | ~ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24403])).
% 58.08/9.39 tff(f24403,plain,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))))),
% 58.08/9.39 inference(rectify,[],[f7093])).
% 58.08/9.39 tff(f7093,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X9 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X9) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X9,one2))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7092_eq__numeral__iff__iszero_I5_J)).
% 58.08/9.39 tff(f111740,plain,(
% 58.08/9.39 spl5880_5073),
% 58.08/9.39 inference(avatar_split_clause,[],[f54019,f111738])).
% 58.08/9.39 tff(f111738,plain,(
% 58.08/9.39 spl5880_5073 <=> ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5073])])).
% 58.08/9.39 tff(f54019,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39723])).
% 58.08/9.39 tff(f111736,plain,(
% 58.08/9.39 spl5880_5072),
% 58.08/9.39 inference(avatar_split_clause,[],[f53995,f111734])).
% 58.08/9.39 tff(f111734,plain,(
% 58.08/9.39 spl5880_5072 <=> ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_ael(X0,$o)) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5072])])).
% 58.08/9.39 tff(f53995,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_ael(X0,$o)) | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30833])).
% 58.08/9.39 tff(f30833,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_ael(X0,$o)) | ~ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f7693])).
% 58.08/9.39 tff(f7693,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_ael(X0,$o)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7692_Nats__altdef1)).
% 58.08/9.39 tff(f111732,plain,(
% 58.08/9.39 spl5880_5071),
% 58.08/9.39 inference(avatar_split_clause,[],[f53846,f111730])).
% 58.08/9.39 tff(f53846,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)) = neg_numeral_dbl(X0,one_one(X0)) | ~neg_numeral(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30661])).
% 58.08/9.39 tff(f30661,plain,(
% 58.08/9.39 ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)) = neg_numeral_dbl(X0,one_one(X0)) | ~neg_numeral(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f1885])).
% 58.08/9.39 tff(f1885,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (neg_numeral(X0) => aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)) = neg_numeral_dbl(X0,one_one(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1884_dbl__simps_I3_J)).
% 58.08/9.39 tff(f111728,plain,(
% 58.08/9.39 spl5880_5070),
% 58.08/9.39 inference(avatar_split_clause,[],[f53845,f111726])).
% 58.08/9.39 tff(f111726,plain,(
% 58.08/9.39 spl5880_5070 <=> ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5070])])).
% 58.08/9.39 tff(f53845,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30660])).
% 58.08/9.39 tff(f30660,plain,(
% 58.08/9.39 ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f1868])).
% 58.08/9.39 tff(f1868,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (neg_numeral(X0) => neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1867_dbl__inc__simps_I3_J)).
% 58.08/9.39 tff(f111724,plain,(
% 58.08/9.39 spl5880_5069),
% 58.08/9.39 inference(avatar_split_clause,[],[f53760,f111722])).
% 58.08/9.39 tff(f111722,plain,(
% 58.08/9.39 spl5880_5069 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5069])])).
% 58.08/9.39 tff(f53760,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30588])).
% 58.08/9.39 tff(f30588,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24267])).
% 58.08/9.39 tff(f24267,plain,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 58.08/9.39 inference(rectify,[],[f1084])).
% 58.08/9.39 tff(f1084,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X11) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1083_add_Ogroup__left__neutral)).
% 58.08/9.39 tff(f111720,plain,(
% 58.08/9.39 spl5880_5068),
% 58.08/9.39 inference(avatar_split_clause,[],[f53759,f111718])).
% 58.08/9.39 tff(f111718,plain,(
% 58.08/9.39 spl5880_5068 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5068])])).
% 58.08/9.39 tff(f53759,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30587])).
% 58.08/9.39 tff(f30587,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24266])).
% 58.08/9.39 tff(f24266,plain,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f869])).
% 58.08/9.39 tff(f869,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_868_diff__0__right)).
% 58.08/9.39 tff(f111716,plain,(
% 58.08/9.39 spl5880_5067),
% 58.08/9.39 inference(avatar_split_clause,[],[f53758,f111714])).
% 58.08/9.39 tff(f111714,plain,(
% 58.08/9.39 spl5880_5067 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5067])])).
% 58.08/9.39 tff(f53758,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30586])).
% 58.08/9.39 tff(f30586,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24265])).
% 58.08/9.39 tff(f24265,plain,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1))),
% 58.08/9.39 inference(rectify,[],[f870])).
% 58.08/9.39 tff(f870,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X11),X11))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_869_diff__self)).
% 58.08/9.39 tff(f111712,plain,(
% 58.08/9.39 spl5880_5066),
% 58.08/9.39 inference(avatar_split_clause,[],[f53714,f111710])).
% 58.08/9.39 tff(f111710,plain,(
% 58.08/9.39 spl5880_5066 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X1),X2) = iG479(X0,X2,X1) | ~comm_ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5066])])).
% 58.08/9.39 tff(f53714,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X1),X2) = iG479(X0,X2,X1) | ~comm_ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30555])).
% 58.08/9.39 tff(f30555,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X1),X2) = iG479(X0,X2,X1) | ~comm_ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f12110])).
% 58.08/9.39 tff(f12110,plain,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X1),X2) = iG479(X0,X2,X1))),
% 58.08/9.39 inference(fool_elimination,[],[f12108,f12109])).
% 58.08/9.39 tff(f12109,plain,(
% 58.08/9.39 ! [X0 : $tType,X2 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG479(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)) = iG479(X0,X2,X1))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG479])])).
% 58.08/9.39 tff(f12108,plain,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X1),X2) = $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2), aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)),zero_zero(X0)))),
% 58.08/9.39 inference(rectify,[],[f8232])).
% 58.08/9.39 tff(f8232,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X105 : nat,X448 : nat] : aa(nat,X0,aTP_Lamp_fg(nat,fun(nat,X0),X105),X448) = $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X448), aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X105),X448)),zero_zero(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8231_ATP_Olambda__51)).
% 58.08/9.39 tff(f111708,plain,(
% 58.08/9.39 spl5880_5065),
% 58.08/9.39 inference(avatar_split_clause,[],[f53713,f111706])).
% 58.08/9.39 tff(f111706,plain,(
% 58.08/9.39 spl5880_5065 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X1),X2) = iG478(X0,X2,X1) | ~comm_ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5065])])).
% 58.08/9.39 tff(f53713,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X1),X2) = iG478(X0,X2,X1) | ~comm_ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30554])).
% 58.08/9.39 tff(f30554,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X1),X2) = iG478(X0,X2,X1) | ~comm_ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f12107])).
% 58.08/9.39 tff(f12107,plain,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X1),X2) = iG478(X0,X2,X1))),
% 58.08/9.39 inference(fool_elimination,[],[f12105,f12106])).
% 58.08/9.39 tff(f12106,plain,(
% 58.08/9.39 ! [X0 : $tType,X2 : nat,X1 : nat] : (~~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG478(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)) = iG478(X0,X2,X1))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG478])])).
% 58.08/9.39 tff(f12105,plain,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : nat,X2 : nat] : aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X1),X2) = $ite(~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2), aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)),zero_zero(X0)))),
% 58.08/9.39 inference(rectify,[],[f8237])).
% 58.08/9.39 tff(f8237,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X105 : nat,X448 : nat] : aa(nat,X0,aTP_Lamp_ff(nat,fun(nat,X0),X105),X448) = $ite(~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X448), aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X105),X448)),zero_zero(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8236_ATP_Olambda__56)).
% 58.08/9.39 tff(f111704,plain,(
% 58.08/9.39 spl5880_5064),
% 58.08/9.39 inference(avatar_split_clause,[],[f53232,f111702])).
% 58.08/9.39 tff(f111702,plain,(
% 58.08/9.39 spl5880_5064 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) = iG472(X0,X1) | ~linordered_idom(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5064])])).
% 58.08/9.39 tff(f53232,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) = iG472(X0,X1) | ~linordered_idom(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30211])).
% 58.08/9.39 tff(f30211,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) = iG472(X0,X1) | ~linordered_idom(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f11711])).
% 58.08/9.39 tff(f11711,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) = iG472(X0,X1))),
% 58.08/9.39 inference(fool_elimination,[],[f11709,f11710])).
% 58.08/9.39 tff(f11710,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG472(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG472(X0,X1))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG472])])).
% 58.08/9.39 tff(f11709,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) = $ite(zero_zero(X0) = X1, zero_zero(X0),one_one(X0)))),
% 58.08/9.39 inference(rectify,[],[f4656])).
% 58.08/9.39 tff(f4656,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0] : aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X11)) = $ite(zero_zero(X0) = X11, zero_zero(X0),one_one(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4655_abs__sgn__eq)).
% 58.08/9.39 tff(f111700,plain,(
% 58.08/9.39 spl5880_5063),
% 58.08/9.39 inference(avatar_split_clause,[],[f53217,f111698])).
% 58.08/9.39 tff(f111698,plain,(
% 58.08/9.39 spl5880_5063 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5063])])).
% 58.08/9.39 tff(f53217,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30196])).
% 58.08/9.39 tff(f30196,plain,(
% 58.08/9.39 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f2801])).
% 58.08/9.39 tff(f2801,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_idom(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2800_abs__neg__one)).
% 58.08/9.39 tff(f111696,plain,(
% 58.08/9.39 spl5880_5062),
% 58.08/9.39 inference(avatar_split_clause,[],[f53216,f111694])).
% 58.08/9.39 tff(f111694,plain,(
% 58.08/9.39 spl5880_5062 <=> ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_aem(X0,$o)) | ~linordered_idom(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5062])])).
% 58.08/9.39 tff(f53216,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_aem(X0,$o)) | ~linordered_idom(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f30195])).
% 58.08/9.39 tff(f30195,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_aem(X0,$o)) | ~linordered_idom(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f7719])).
% 58.08/9.39 tff(f7719,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_idom(X0) => semiring_1_Nats(X0) = aa(fun(X0,$o),set(X0),collect(X0),aTP_Lamp_aem(X0,$o)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7718_Nats__altdef2)).
% 58.08/9.39 tff(f111692,plain,(
% 58.08/9.39 spl5880_5061),
% 58.08/9.39 inference(avatar_split_clause,[],[f53200,f111690])).
% 58.08/9.39 tff(f111690,plain,(
% 58.08/9.39 spl5880_5061 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP1920(X2,X1,X0) | ~sP1921(X2,X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5061])])).
% 58.08/9.39 tff(f53200,plain,(
% 58.08/9.39 ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP1920(X2,X1,X0) | ~sP1921(X2,X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39507])).
% 58.08/9.39 tff(f39507,plain,(
% 58.08/9.39 ! [X0 : X2,X1 : fun(X2,$o),X2 : $tType] : (((eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP1920(X2,X1,X0)) & (sP1920(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))))) | ~sP1921(X2,X0,X1))),
% 58.08/9.39 inference(rectify,[],[f39506])).
% 58.08/9.39 tff(f39506,plain,(
% 58.08/9.39 ! [X2 : X0,X3 : fun(X0,$o),X0 : $tType] : (((eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1920(X0,X3,X2)) & (sP1920(X0,X3,X2) | ~eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))))) | ~sP1921(X0,X2,X3))),
% 58.08/9.39 inference(nnf_transformation,[],[f37076])).
% 58.08/9.39 tff(f37076,plain,(
% 58.08/9.39 ! [X2 : X0,X3 : fun(X0,$o),X0 : $tType] : ((eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> sP1920(X0,X3,X2)) | ~sP1921(X0,X2,X3))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1921])])).
% 58.08/9.39 tff(f111688,plain,(
% 58.08/9.39 spl5880_5060),
% 58.08/9.39 inference(avatar_split_clause,[],[f53199,f111686])).
% 58.08/9.39 tff(f111686,plain,(
% 58.08/9.39 spl5880_5060 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (sP1920(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP1921(X2,X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5060])])).
% 58.08/9.39 tff(f53199,plain,(
% 58.08/9.39 ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (sP1920(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP1921(X2,X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39507])).
% 58.08/9.39 tff(f111684,plain,(
% 58.08/9.39 spl5880_5059),
% 58.08/9.39 inference(avatar_split_clause,[],[f53192,f111682])).
% 58.08/9.39 tff(f111682,plain,(
% 58.08/9.39 spl5880_5059 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP1918(X2,X1,X0) | ~sP1919(X2,X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5059])])).
% 58.08/9.39 tff(f53192,plain,(
% 58.08/9.39 ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP1918(X2,X1,X0) | ~sP1919(X2,X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39500])).
% 58.08/9.39 tff(f39500,plain,(
% 58.08/9.39 ! [X0 : X2,X1 : fun(X2,$o),X2 : $tType] : (((eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP1918(X2,X1,X0)) & (sP1918(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))))) | ~sP1919(X2,X0,X1))),
% 58.08/9.39 inference(rectify,[],[f39499])).
% 58.08/9.39 tff(f39499,plain,(
% 58.08/9.39 ! [X1 : X0,X3 : fun(X0,$o),X0 : $tType] : (((eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))) | ~sP1918(X0,X3,X1)) & (sP1918(X0,X3,X1) | ~eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))))) | ~sP1919(X0,X1,X3))),
% 58.08/9.39 inference(nnf_transformation,[],[f37073])).
% 58.08/9.39 tff(f37073,plain,(
% 58.08/9.39 ! [X1 : X0,X3 : fun(X0,$o),X0 : $tType] : ((eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))) <=> sP1918(X0,X3,X1)) | ~sP1919(X0,X1,X3))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1919])])).
% 58.08/9.39 tff(f111680,plain,(
% 58.08/9.39 spl5880_5058),
% 58.08/9.39 inference(avatar_split_clause,[],[f53191,f111678])).
% 58.08/9.39 tff(f111678,plain,(
% 58.08/9.39 spl5880_5058 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (sP1918(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP1919(X2,X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5058])])).
% 58.08/9.39 tff(f53191,plain,(
% 58.08/9.39 ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,$o)] : (sP1918(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP1919(X2,X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39500])).
% 58.08/9.39 tff(f111676,plain,(
% 58.08/9.39 spl5880_5057),
% 58.08/9.39 inference(avatar_split_clause,[],[f53132,f111674])).
% 58.08/9.39 tff(f111674,plain,(
% 58.08/9.39 spl5880_5057 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2724(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5057])])).
% 58.08/9.39 tff(f53132,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2724(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1) | ~topolo1944317154257567458pology(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39449])).
% 58.08/9.39 tff(f39449,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2724(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2724(X0,X1),X1)) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2724])],[f30148,f39448])).
% 58.08/9.39 tff(f39448,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2724(X0,X1)),X3)) | ~member(X0,X3,X1)) & member(X0,sK2724(X0,X1),X1)))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f30148,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(flattening,[],[f30147])).
% 58.08/9.39 tff(f30147,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : ((? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f11650])).
% 58.08/9.39 tff(f11650,plain,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))) & member(X0,X2,X1)))))),
% 58.08/9.39 inference(fool_elimination,[],[f11649])).
% 58.08/9.39 tff(f11649,plain,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) & member(X0,X2,X1)))))),
% 58.08/9.39 inference(rectify,[],[f6727])).
% 58.08/9.39 tff(f6727,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X93 : set(X0)] : (topolo2193935891317330818ompact(X0,X93) => (bot_bot(set(X0)) != X93 => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X93) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X29),X98)) & member(X0,X29,X93)))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6726_compact__attains__inf)).
% 58.08/9.39 tff(f111672,plain,(
% 58.08/9.39 spl5880_5056),
% 58.08/9.39 inference(avatar_split_clause,[],[f53130,f111670])).
% 58.08/9.39 tff(f111670,plain,(
% 58.08/9.39 spl5880_5056 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2723(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5056])])).
% 58.08/9.39 tff(f53130,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK2723(X0,X1),X1) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1) | ~topolo1944317154257567458pology(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39447])).
% 58.08/9.39 tff(f39447,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),sK2723(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2723(X0,X1),X1)) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2723])],[f30146,f39446])).
% 58.08/9.39 tff(f39446,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) => (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),sK2723(X0,X1))) | ~member(X0,X3,X1)) & member(X0,sK2723(X0,X1),X1)))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f30146,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1 | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(flattening,[],[f30145])).
% 58.08/9.39 tff(f30145,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : set(X0)] : ((? [X2 : X0] : (! [X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ~member(X0,X3,X1)) & member(X0,X2,X1)) | bot_bot(set(X0)) = X1) | ~topolo2193935891317330818ompact(X0,X1)) | ~topolo1944317154257567458pology(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f11648])).
% 58.08/9.39 tff(f11648,plain,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) & member(X0,X2,X1)))))),
% 58.08/9.39 inference(fool_elimination,[],[f11647])).
% 58.08/9.39 tff(f11647,plain,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) => (bot_bot(set(X0)) != X1 => ? [X2 : X0] : (! [X3 : X0] : (member(X0,X3,X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & member(X0,X2,X1)))))),
% 58.08/9.39 inference(rectify,[],[f6728])).
% 58.08/9.39 tff(f6728,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => ! [X93 : set(X0)] : (topolo2193935891317330818ompact(X0,X93) => (bot_bot(set(X0)) != X93 => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X93) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X98),X29)) & member(X0,X29,X93)))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6727_compact__attains__sup)).
% 58.08/9.39 tff(f111668,plain,(
% 58.08/9.39 spl5880_5055),
% 58.08/9.39 inference(avatar_split_clause,[],[f52722,f111666])).
% 58.08/9.39 tff(f111666,plain,(
% 58.08/9.39 spl5880_5055 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5055])])).
% 58.08/9.39 tff(f52722,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29873])).
% 58.08/9.39 tff(f29873,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24009])).
% 58.08/9.39 tff(f24009,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1)),
% 58.08/9.39 inference(rectify,[],[f4747])).
% 58.08/9.39 tff(f4747,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X11) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4746_or_Oleft__neutral)).
% 58.08/9.39 tff(f111664,plain,(
% 58.08/9.39 spl5880_5054),
% 58.08/9.39 inference(avatar_split_clause,[],[f52721,f111662])).
% 58.08/9.39 tff(f111662,plain,(
% 58.08/9.39 spl5880_5054 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5054])])).
% 58.08/9.39 tff(f52721,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29872])).
% 58.08/9.39 tff(f29872,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24008])).
% 58.08/9.39 tff(f24008,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1)),
% 58.08/9.39 inference(rectify,[],[f4936])).
% 58.08/9.39 tff(f4936,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X11) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4935_xor_Oleft__neutral)).
% 58.08/9.39 tff(f111660,plain,(
% 58.08/9.39 spl5880_5053),
% 58.08/9.39 inference(avatar_split_clause,[],[f52720,f111658])).
% 58.08/9.39 tff(f111658,plain,(
% 58.08/9.39 spl5880_5053 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5053])])).
% 58.08/9.39 tff(f52720,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29871])).
% 58.08/9.39 tff(f29871,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24007])).
% 58.08/9.39 tff(f24007,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f4746])).
% 58.08/9.39 tff(f4746,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4745_or_Oright__neutral)).
% 58.08/9.39 tff(f111656,plain,(
% 58.08/9.39 spl5880_5052),
% 58.08/9.39 inference(avatar_split_clause,[],[f52719,f111654])).
% 58.08/9.39 tff(f111654,plain,(
% 58.08/9.39 spl5880_5052 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5052])])).
% 58.08/9.39 tff(f52719,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29870])).
% 58.08/9.39 tff(f29870,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24006])).
% 58.08/9.39 tff(f24006,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f4935])).
% 58.08/9.39 tff(f4935,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X11),zero_zero(X0)) = X11)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4934_xor_Oright__neutral)).
% 58.08/9.39 tff(f111652,plain,(
% 58.08/9.39 spl5880_5051),
% 58.08/9.39 inference(avatar_split_clause,[],[f52718,f111650])).
% 58.08/9.39 tff(f111650,plain,(
% 58.08/9.39 spl5880_5051 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5051])])).
% 58.08/9.39 tff(f52718,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29869])).
% 58.08/9.39 tff(f29869,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24005])).
% 58.08/9.39 tff(f24005,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1))),
% 58.08/9.39 inference(rectify,[],[f4937])).
% 58.08/9.39 tff(f4937,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X11),X11))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4936_xor__self__eq)).
% 58.08/9.39 tff(f111648,plain,(
% 58.08/9.39 spl5880_5050),
% 58.08/9.39 inference(avatar_split_clause,[],[f52467,f111646])).
% 58.08/9.39 tff(f111646,plain,(
% 58.08/9.39 spl5880_5050 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5050])])).
% 58.08/9.39 tff(f52467,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39302])).
% 58.08/9.39 tff(f39302,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.39 inference(flattening,[],[f39301])).
% 58.08/9.39 tff(f39301,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) = X1) | zero_zero(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f29637])).
% 58.08/9.39 tff(f29637,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)) | ~field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23839])).
% 58.08/9.39 tff(f23839,plain,(
% 58.08/9.39 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)))),
% 58.08/9.39 inference(rectify,[],[f878])).
% 58.08/9.39 tff(f878,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X12 : X0] : (divide_divide(X0,X11,X12) = zero_zero(X0) <=> (zero_zero(X0) = X12 | zero_zero(X0) = X11)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_877_divide__eq__0__iff)).
% 58.08/9.39 tff(f111644,plain,(
% 58.08/9.39 spl5880_5049),
% 58.08/9.39 inference(avatar_split_clause,[],[f52446,f111642])).
% 58.08/9.39 tff(f111642,plain,(
% 58.08/9.39 spl5880_5049 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),X2) | ~field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5049])])).
% 58.08/9.39 tff(f52446,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),X2) | ~field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29622])).
% 58.08/9.39 tff(f29622,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),X2) | ~field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23825])).
% 58.08/9.39 tff(f23825,plain,(
% 58.08/9.39 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),X2))),
% 58.08/9.39 inference(rectify,[],[f8368])).
% 58.08/9.39 tff(f8368,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (field(X0) => ! [X105 : X0,X448 : X0] : divide_divide(X0,X448,X105) = aa(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X105),X448))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8367_ATP_Olambda__187)).
% 58.08/9.39 tff(f111640,plain,(
% 58.08/9.39 spl5880_5048),
% 58.08/9.39 inference(avatar_split_clause,[],[f52360,f111638])).
% 58.08/9.39 tff(f111638,plain,(
% 58.08/9.39 spl5880_5048 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5048])])).
% 58.08/9.39 tff(f52360,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29548])).
% 58.08/9.39 tff(f29548,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23763])).
% 58.08/9.39 tff(f23763,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)))),
% 58.08/9.39 inference(rectify,[],[f2927])).
% 58.08/9.39 tff(f2927,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat] : one_one(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X8)),one_one(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2926_take__bit__Suc__1)).
% 58.08/9.39 tff(f111636,plain,(
% 58.08/9.39 spl5880_5047),
% 58.08/9.39 inference(avatar_split_clause,[],[f52219,f111634])).
% 58.08/9.39 tff(f111634,plain,(
% 58.08/9.39 spl5880_5047 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,modulo_modulo(X0,X2,X3)) | ~dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,X2) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5047])])).
% 58.08/9.39 tff(f52219,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,modulo_modulo(X0,X2,X3)) | ~dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,X2) | ~euclid4440199948858584721cancel(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29420])).
% 58.08/9.39 tff(f29420,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,modulo_modulo(X0,X2,X3)) | ~dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,X2)) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.39 inference(flattening,[],[f29419])).
% 58.08/9.39 tff(f29419,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((dvd_dvd(X0,X1,modulo_modulo(X0,X2,X3)) | ~dvd_dvd(X0,X1,X3)) | ~dvd_dvd(X0,X1,X2)) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23683])).
% 58.08/9.39 tff(f23683,plain,(
% 58.08/9.39 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,X2) => (dvd_dvd(X0,X1,X3) => dvd_dvd(X0,X1,modulo_modulo(X0,X2,X3)))))),
% 58.08/9.39 inference(rectify,[],[f1982])).
% 58.08/9.39 tff(f1982,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X24 : X0,X15 : X0,X8 : X0] : (dvd_dvd(X0,X24,X15) => (dvd_dvd(X0,X24,X8) => dvd_dvd(X0,X24,modulo_modulo(X0,X15,X8)))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1981_dvd__mod)).
% 58.08/9.39 tff(f111632,plain,(
% 58.08/9.39 spl5880_5046),
% 58.08/9.39 inference(avatar_split_clause,[],[f52038,f111630])).
% 58.08/9.39 tff(f111630,plain,(
% 58.08/9.39 spl5880_5046 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) | ~dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5046])])).
% 58.08/9.39 tff(f52038,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) | ~dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39188])).
% 58.08/9.39 tff(f39188,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) | ~dvd_dvd(X0,X1,X3)) & (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)))) | ~dvd_dvd(X0,X1,X2)) | ~semidom_modulo(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f29294])).
% 58.08/9.39 tff(f29294,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) <=> dvd_dvd(X0,X1,X3)) | ~dvd_dvd(X0,X1,X2)) | ~semidom_modulo(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23598])).
% 58.08/9.39 tff(f23598,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,X2) => (dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) <=> dvd_dvd(X0,X1,X3))))),
% 58.08/9.39 inference(rectify,[],[f1979])).
% 58.08/9.39 tff(f1979,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X17 : X0,X12 : X0,X11 : X0] : (dvd_dvd(X0,X17,X12) => (dvd_dvd(X0,X17,modulo_modulo(X0,X11,X12)) <=> dvd_dvd(X0,X17,X11))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1978_dvd__mod__iff)).
% 58.08/9.39 tff(f111628,plain,(
% 58.08/9.39 spl5880_5045),
% 58.08/9.39 inference(avatar_split_clause,[],[f52037,f111626])).
% 58.08/9.39 tff(f111626,plain,(
% 58.08/9.39 spl5880_5045 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5045])])).
% 58.08/9.39 tff(f52037,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X1,modulo_modulo(X0,X3,X2)) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39188])).
% 58.08/9.39 tff(f111624,plain,(
% 58.08/9.39 spl5880_5044),
% 58.08/9.39 inference(avatar_split_clause,[],[f51858,f111622])).
% 58.08/9.39 tff(f111622,plain,(
% 58.08/9.39 spl5880_5044 <=> ! [X0 : $tType,X2 : real,X1 : fun(X0,$o)] : (eventually(X0,X1,at_infinity(X0)) | ($true != aa(X0,$o,X1,sK2673(X0,X1,X2))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5044])])).
% 58.08/9.39 tff(f51858,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : real,X1 : fun(X0,$o)] : (eventually(X0,X1,at_infinity(X0)) | ($true != aa(X0,$o,X1,sK2673(X0,X1,X2))) | ~real_V822414075346904944vector(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39109])).
% 58.08/9.39 tff(f39109,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_infinity(X0)) | ! [X2 : real] : (($true != aa(X0,$o,X1,sK2673(X0,X1,X2))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,sK2673(X0,X1,X2)))))) & (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK2674(X0,X1)),real_V7770717601297561774m_norm(X0,X5)))) | ~eventually(X0,X1,at_infinity(X0)))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2673,sK2674])],[f39106,f39108,f39107])).
% 58.08/9.39 tff(f39107,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,$o),X2 : real] : (? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3)))) => (($true != aa(X0,$o,X1,sK2673(X0,X1,X2))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,sK2673(X0,X1,X2))))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f39108,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X4 : real] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),real_V7770717601297561774m_norm(X0,X5)))) => ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK2674(X0,X1)),real_V7770717601297561774m_norm(X0,X5)))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f39106,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_infinity(X0)) | ! [X2 : real] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3))))) & (? [X4 : real] : ! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),real_V7770717601297561774m_norm(X0,X5)))) | ~eventually(X0,X1,at_infinity(X0)))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.39 inference(rectify,[],[f39105])).
% 58.08/9.39 tff(f39105,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : ((eventually(X0,X1,at_infinity(X0)) | ! [X2 : real] : ? [X3 : X0] : (($true != aa(X0,$o,X1,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3))))) & (? [X2 : real] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3)))) | ~eventually(X0,X1,at_infinity(X0)))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f29129])).
% 58.08/9.39 tff(f29129,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_infinity(X0)) <=> ? [X2 : real] : ! [X3 : X0] : (($true = aa(X0,$o,X1,X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3))))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f10992])).
% 58.08/9.39 tff(f10992,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_infinity(X0)) <=> ? [X2 : real] : ! [X3 : X0] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3))) => ($true = aa(X0,$o,X1,X3)))))),
% 58.08/9.39 inference(fool_elimination,[],[f10991])).
% 58.08/9.39 tff(f10991,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(X0,$o)] : (eventually(X0,X1,at_infinity(X0)) <=> ? [X2 : real] : ! [X3 : X0] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),real_V7770717601297561774m_norm(X0,X3)) => aa(X0,$o,X1,X3))))),
% 58.08/9.39 inference(rectify,[],[f6485])).
% 58.08/9.39 tff(f6485,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X26 : fun(X0,$o)] : (eventually(X0,X26,at_infinity(X0)) <=> ? [X138 : real] : ! [X65 : X0] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X138),real_V7770717601297561774m_norm(X0,X65)) => aa(X0,$o,X26,X65))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6484_eventually__at__infinity)).
% 58.08/9.39 tff(f111620,plain,(
% 58.08/9.39 spl5880_5043),
% 58.08/9.39 inference(avatar_split_clause,[],[f51755,f111618])).
% 58.08/9.39 tff(f111618,plain,(
% 58.08/9.39 spl5880_5043 <=> ! [X0 : $tType,X3 : set(X0),X2 : X0,X1 : X0] : (has_field_derivative(X0,aa(X0,fun(X0,X0),times_times(X0),X1),X1,topolo174197925503356063within(X0,X2,X3)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5043])])).
% 58.08/9.39 tff(f51755,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : X0] : (has_field_derivative(X0,aa(X0,fun(X0,X0),times_times(X0),X1),X1,topolo174197925503356063within(X0,X2,X3)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29029])).
% 58.08/9.39 tff(f29029,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : set(X0)] : has_field_derivative(X0,aa(X0,fun(X0,X0),times_times(X0),X1),X1,topolo174197925503356063within(X0,X2,X3)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23433])).
% 58.08/9.39 tff(f23433,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0,X2 : X0,X3 : set(X0)] : has_field_derivative(X0,aa(X0,fun(X0,X0),times_times(X0),X1),X1,topolo174197925503356063within(X0,X2,X3)))),
% 58.08/9.39 inference(rectify,[],[f6028])).
% 58.08/9.39 tff(f6028,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X17 : X0,X9 : X0,X55 : set(X0)] : has_field_derivative(X0,aa(X0,fun(X0,X0),times_times(X0),X17),X17,topolo174197925503356063within(X0,X9,X55)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6027_DERIV__cmult__Id)).
% 58.08/9.39 tff(f111616,plain,(
% 58.08/9.39 spl5880_5042),
% 58.08/9.39 inference(avatar_split_clause,[],[f51732,f111614])).
% 58.08/9.39 tff(f111614,plain,(
% 58.08/9.39 spl5880_5042 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5042])])).
% 58.08/9.39 tff(f51732,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29009])).
% 58.08/9.39 tff(f29009,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23415])).
% 58.08/9.39 tff(f23415,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1),X2))),
% 58.08/9.39 inference(rectify,[],[f8366])).
% 58.08/9.39 tff(f8366,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X105 : X0,X448 : X0] : aa(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X105),X448) = divide_divide(X0,X448,X105))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8365_ATP_Olambda__185)).
% 58.08/9.39 tff(f111612,plain,(
% 58.08/9.39 spl5880_5041),
% 58.08/9.39 inference(avatar_split_clause,[],[f51731,f111610])).
% 58.08/9.39 tff(f111610,plain,(
% 58.08/9.39 spl5880_5041 <=> ! [X0 : $tType,X2 : X0,X1 : int] : (power_int(X0,X2,X1) = aa(X0,X0,aTP_Lamp_aag(int,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5041])])).
% 58.08/9.39 tff(f51731,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : int] : (power_int(X0,X2,X1) = aa(X0,X0,aTP_Lamp_aag(int,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29008])).
% 58.08/9.39 tff(f29008,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : int,X2 : X0] : power_int(X0,X2,X1) = aa(X0,X0,aTP_Lamp_aag(int,fun(X0,X0),X1),X2) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23414])).
% 58.08/9.39 tff(f23414,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : int,X2 : X0] : power_int(X0,X2,X1) = aa(X0,X0,aTP_Lamp_aag(int,fun(X0,X0),X1),X2))),
% 58.08/9.39 inference(rectify,[],[f8394])).
% 58.08/9.39 tff(f8394,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X105 : int,X448 : X0] : aa(X0,X0,aTP_Lamp_aag(int,fun(X0,X0),X105),X448) = power_int(X0,X448,X105))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8393_ATP_Olambda__213)).
% 58.08/9.39 tff(f111608,plain,(
% 58.08/9.39 spl5880_5040),
% 58.08/9.39 inference(avatar_split_clause,[],[f51730,f111606])).
% 58.08/9.39 tff(f111606,plain,(
% 58.08/9.39 spl5880_5040 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (real_V7770717601297561774m_norm(X0,divide_divide(X0,X1,X2)) = divide_divide(real,real_V7770717601297561774m_norm(X0,X1),real_V7770717601297561774m_norm(X0,X2)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5040])])).
% 58.08/9.39 tff(f51730,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (real_V7770717601297561774m_norm(X0,divide_divide(X0,X1,X2)) = divide_divide(real,real_V7770717601297561774m_norm(X0,X1),real_V7770717601297561774m_norm(X0,X2)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f29007])).
% 58.08/9.39 tff(f29007,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : real_V7770717601297561774m_norm(X0,divide_divide(X0,X1,X2)) = divide_divide(real,real_V7770717601297561774m_norm(X0,X1),real_V7770717601297561774m_norm(X0,X2)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23413])).
% 58.08/9.39 tff(f23413,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0,X2 : X0] : real_V7770717601297561774m_norm(X0,divide_divide(X0,X1,X2)) = divide_divide(real,real_V7770717601297561774m_norm(X0,X1),real_V7770717601297561774m_norm(X0,X2)))),
% 58.08/9.39 inference(rectify,[],[f3342])).
% 58.08/9.39 tff(f3342,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X11 : X0,X12 : X0] : real_V7770717601297561774m_norm(X0,divide_divide(X0,X11,X12)) = divide_divide(real,real_V7770717601297561774m_norm(X0,X11),real_V7770717601297561774m_norm(X0,X12)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3341_norm__divide)).
% 58.08/9.39 tff(f111604,plain,(
% 58.08/9.39 spl5880_5039),
% 58.08/9.39 inference(avatar_split_clause,[],[f51721,f111602])).
% 58.08/9.39 tff(f111602,plain,(
% 58.08/9.39 spl5880_5039 <=> ! [X0 : $tType,X1 : X0] : (filterlim(nat,X0,aTP_Lamp_tv(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5039])])).
% 58.08/9.39 tff(f51721,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (filterlim(nat,X0,aTP_Lamp_tv(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28999])).
% 58.08/9.39 tff(f28999,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : filterlim(nat,X0,aTP_Lamp_tv(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23409])).
% 58.08/9.39 tff(f23409,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0] : filterlim(nat,X0,aTP_Lamp_tv(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 58.08/9.39 inference(rectify,[],[f6285])).
% 58.08/9.39 tff(f6285,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X11 : X0] : filterlim(nat,X0,aTP_Lamp_tv(X0,fun(nat,X0),X11),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6284_lim__const__over__n)).
% 58.08/9.39 tff(f111600,plain,(
% 58.08/9.39 spl5880_5038),
% 58.08/9.39 inference(avatar_split_clause,[],[f51425,f111598])).
% 58.08/9.39 tff(f111598,plain,(
% 58.08/9.39 spl5880_5038 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_jp(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5038])])).
% 58.08/9.39 tff(f51425,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_jp(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28758])).
% 58.08/9.39 tff(f28758,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_jp(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23391])).
% 58.08/9.39 tff(f23391,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_jp(X0,fun(X0,X0),X1),X2))),
% 58.08/9.39 inference(rectify,[],[f8367])).
% 58.08/9.39 tff(f8367,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linordered_field(X0) => ! [X105 : X0,X448 : X0] : divide_divide(X0,X448,X105) = aa(X0,X0,aTP_Lamp_jp(X0,fun(X0,X0),X105),X448))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8366_ATP_Olambda__186)).
% 58.08/9.39 tff(f111596,plain,(
% 58.08/9.39 spl5880_5037),
% 58.08/9.39 inference(avatar_split_clause,[],[f51127,f111594])).
% 58.08/9.39 tff(f111594,plain,(
% 58.08/9.39 spl5880_5037 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5037])])).
% 58.08/9.39 tff(f51127,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28493])).
% 58.08/9.39 tff(f28493,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23273])).
% 58.08/9.39 tff(f23273,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1)),
% 58.08/9.39 inference(rectify,[],[f4770])).
% 58.08/9.39 tff(f4770,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X9),zero_zero(X0)) = X9)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4769_bit_Odisj__zero__right)).
% 58.08/9.39 tff(f111592,plain,(
% 58.08/9.39 spl5880_5036),
% 58.08/9.39 inference(avatar_split_clause,[],[f51126,f111590])).
% 58.08/9.39 tff(f111590,plain,(
% 58.08/9.39 spl5880_5036 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5036])])).
% 58.08/9.39 tff(f51126,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28492])).
% 58.08/9.39 tff(f28492,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23272])).
% 58.08/9.39 tff(f23272,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1))),
% 58.08/9.39 inference(rectify,[],[f4938])).
% 58.08/9.39 tff(f4938,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X9),X9))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4937_bit_Oxor__self)).
% 58.08/9.39 tff(f111588,plain,(
% 58.08/9.39 spl5880_5035),
% 58.08/9.39 inference(avatar_split_clause,[],[f51125,f111586])).
% 58.08/9.39 tff(f111586,plain,(
% 58.08/9.39 spl5880_5035 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5035])])).
% 58.08/9.39 tff(f51125,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28491])).
% 58.08/9.39 tff(f28491,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23271])).
% 58.08/9.39 tff(f23271,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1)),one_one(X0)))),
% 58.08/9.39 inference(rectify,[],[f2254])).
% 58.08/9.39 tff(f2254,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : one_one(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X8)),one_one(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2253_signed__take__bit__Suc__1)).
% 58.08/9.39 tff(f111584,plain,(
% 58.08/9.39 spl5880_5034),
% 58.08/9.39 inference(avatar_split_clause,[],[f51119,f111582])).
% 58.08/9.39 tff(f111582,plain,(
% 58.08/9.39 spl5880_5034 <=> ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5034])])).
% 58.08/9.39 tff(f51119,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28485])).
% 58.08/9.39 tff(f28485,plain,(
% 58.08/9.39 ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f5051])).
% 58.08/9.39 tff(f5051,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5050_bit_Ocompl__zero)).
% 58.08/9.39 tff(f111580,plain,(
% 58.08/9.39 spl5880_5033),
% 58.08/9.39 inference(avatar_split_clause,[],[f51118,f111578])).
% 58.08/9.39 tff(f111578,plain,(
% 58.08/9.39 spl5880_5033 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5033])])).
% 58.08/9.39 tff(f51118,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28484])).
% 58.08/9.39 tff(f28484,plain,(
% 58.08/9.39 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f5052])).
% 58.08/9.39 tff(f5052,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5051_bit_Ocompl__one)).
% 58.08/9.39 tff(f111576,plain,(
% 58.08/9.39 spl5880_5032),
% 58.08/9.39 inference(avatar_split_clause,[],[f51107,f111574])).
% 58.08/9.39 tff(f111574,plain,(
% 58.08/9.39 spl5880_5032 <=> ! [X0 : $tType,X1 : num] : (aa(num,real,numeral_numeral(real),X1) = real_V7770717601297561774m_norm(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~real_V2822296259951069270ebra_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5032])])).
% 58.08/9.39 tff(f51107,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (aa(num,real,numeral_numeral(real),X1) = real_V7770717601297561774m_norm(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28473])).
% 58.08/9.39 tff(f28473,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : aa(num,real,numeral_numeral(real),X1) = real_V7770717601297561774m_norm(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~real_V2822296259951069270ebra_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23261])).
% 58.08/9.39 tff(f23261,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => ! [X1 : num] : aa(num,real,numeral_numeral(real),X1) = real_V7770717601297561774m_norm(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.39 inference(rectify,[],[f3338])).
% 58.08/9.39 tff(f3338,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => ! [X20 : num] : aa(num,real,numeral_numeral(real),X20) = real_V7770717601297561774m_norm(X0,aa(num,X0,numeral_numeral(X0),X20)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3337_norm__numeral)).
% 58.08/9.39 tff(f111572,plain,(
% 58.08/9.39 spl5880_5031),
% 58.08/9.39 inference(avatar_split_clause,[],[f50892,f111570])).
% 58.08/9.39 tff(f111570,plain,(
% 58.08/9.39 spl5880_5031 <=> ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = real_Vector_of_real(X0,aa(num,real,numeral_numeral(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5031])])).
% 58.08/9.39 tff(f50892,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = real_Vector_of_real(X0,aa(num,real,numeral_numeral(real),X1)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28331])).
% 58.08/9.39 tff(f28331,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : aa(num,X0,numeral_numeral(X0),X1) = real_Vector_of_real(X0,aa(num,real,numeral_numeral(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23193])).
% 58.08/9.39 tff(f23193,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : num] : aa(num,X0,numeral_numeral(X0),X1) = real_Vector_of_real(X0,aa(num,real,numeral_numeral(real),X1)))),
% 58.08/9.39 inference(rectify,[],[f3660])).
% 58.08/9.39 tff(f3660,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X20 : num] : aa(num,X0,numeral_numeral(X0),X20) = real_Vector_of_real(X0,aa(num,real,numeral_numeral(real),X20)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3659_of__real__numeral)).
% 58.08/9.39 tff(f111568,plain,(
% 58.08/9.39 spl5880_5030),
% 58.08/9.39 inference(avatar_split_clause,[],[f50872,f111566])).
% 58.08/9.39 tff(f111566,plain,(
% 58.08/9.39 spl5880_5030 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5030])])).
% 58.08/9.39 tff(f50872,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28317])).
% 58.08/9.39 tff(f28317,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f10206])).
% 58.08/9.39 tff(f10206,plain,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f10205])).
% 58.08/9.39 tff(f10205,plain,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))),
% 58.08/9.39 inference(rectify,[],[f1069])).
% 58.08/9.39 tff(f1069,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X9 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X9))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1068_zero__le)).
% 58.08/9.39 tff(f111564,plain,(
% 58.08/9.39 spl5880_5029),
% 58.08/9.39 inference(avatar_split_clause,[],[f50871,f111562])).
% 58.08/9.39 tff(f50871,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28316])).
% 58.08/9.39 tff(f28316,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23187])).
% 58.08/9.39 tff(f23187,plain,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))))),
% 58.08/9.39 inference(flattening,[],[f10204])).
% 58.08/9.39 tff(f10204,plain,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))))),
% 58.08/9.39 inference(fool_elimination,[],[f10203])).
% 58.08/9.39 tff(f10203,plain,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))),
% 58.08/9.39 inference(rectify,[],[f1072])).
% 58.08/9.39 tff(f1072,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X8 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),zero_zero(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1071_not__less__zero)).
% 58.08/9.39 tff(f111560,plain,(
% 58.08/9.39 spl5880_5028),
% 58.08/9.39 inference(avatar_split_clause,[],[f50806,f111558])).
% 58.08/9.39 tff(f111558,plain,(
% 58.08/9.39 spl5880_5028 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = gcd_gcd(X0,X1,X2) | ~dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) | ~semiring_gcd(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5028])])).
% 58.08/9.39 tff(f50806,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = gcd_gcd(X0,X1,X2) | ~dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) | ~semiring_gcd(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38751])).
% 58.08/9.39 tff(f38751,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) | one_one(X0) != gcd_gcd(X0,X1,X2)) & (one_one(X0) = gcd_gcd(X0,X1,X2) | ~dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)))) | ~semiring_gcd(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f28277])).
% 58.08/9.39 tff(f28277,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) <=> one_one(X0) = gcd_gcd(X0,X1,X2)) | ~semiring_gcd(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23160])).
% 58.08/9.39 tff(f23160,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) <=> one_one(X0) = gcd_gcd(X0,X1,X2)))),
% 58.08/9.39 inference(rectify,[],[f5618])).
% 58.08/9.39 tff(f5618,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X11 : X0,X12 : X0] : (dvd_dvd(X0,gcd_gcd(X0,X11,X12),one_one(X0)) <=> one_one(X0) = gcd_gcd(X0,X11,X12)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5617_is__unit__gcd__iff)).
% 58.08/9.39 tff(f111556,plain,(
% 58.08/9.39 spl5880_5027),
% 58.08/9.39 inference(avatar_split_clause,[],[f50774,f111554])).
% 58.08/9.39 tff(f111554,plain,(
% 58.08/9.39 spl5880_5027 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (one_one(X0) = gcd_Gcd(X0,X2) | ~member(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0)) | ~semiring_Gcd(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5027])])).
% 58.08/9.39 tff(f50774,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (one_one(X0) = gcd_Gcd(X0,X2) | ~member(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0)) | ~semiring_Gcd(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28248])).
% 58.08/9.39 tff(f28248,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : (one_one(X0) = gcd_Gcd(X0,X2) | ~member(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0))) | ~semiring_Gcd(X0))),
% 58.08/9.39 inference(flattening,[],[f28247])).
% 58.08/9.39 tff(f28247,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : ((one_one(X0) = gcd_Gcd(X0,X2) | ~member(X0,X1,X2)) | ~dvd_dvd(X0,X1,one_one(X0))) | ~semiring_Gcd(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23149])).
% 58.08/9.39 tff(f23149,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : X0,X2 : set(X0)] : (dvd_dvd(X0,X1,one_one(X0)) => (member(X0,X1,X2) => one_one(X0) = gcd_Gcd(X0,X2))))),
% 58.08/9.39 inference(rectify,[],[f7149])).
% 58.08/9.39 tff(f7149,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X11 : X0,X27 : set(X0)] : (dvd_dvd(X0,X11,one_one(X0)) => (member(X0,X11,X27) => one_one(X0) = gcd_Gcd(X0,X27))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7148_Gcd__eq__1__I)).
% 58.08/9.39 tff(f111552,plain,(
% 58.08/9.39 spl5880_5026),
% 58.08/9.39 inference(avatar_split_clause,[],[f50765,f111550])).
% 58.08/9.39 tff(f111550,plain,(
% 58.08/9.39 spl5880_5026 <=> ! [X0 : $tType,X2 : real,X1 : real] : (real_Vector_of_real(X0,divide_divide(real,X1,X2)) = divide_divide(X0,real_Vector_of_real(X0,X1),real_Vector_of_real(X0,X2)) | ~real_V5047593784448816457lgebra(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5026])])).
% 58.08/9.39 tff(f50765,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : real,X1 : real] : (real_Vector_of_real(X0,divide_divide(real,X1,X2)) = divide_divide(X0,real_Vector_of_real(X0,X1),real_Vector_of_real(X0,X2)) | ~real_V5047593784448816457lgebra(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28241])).
% 58.08/9.39 tff(f28241,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : real,X2 : real] : real_Vector_of_real(X0,divide_divide(real,X1,X2)) = divide_divide(X0,real_Vector_of_real(X0,X1),real_Vector_of_real(X0,X2)) | ~real_V5047593784448816457lgebra(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23145])).
% 58.08/9.39 tff(f23145,plain,(
% 58.08/9.39 ! [X0 : $tType] : (real_V5047593784448816457lgebra(X0) => ! [X1 : real,X2 : real] : real_Vector_of_real(X0,divide_divide(real,X1,X2)) = divide_divide(X0,real_Vector_of_real(X0,X1),real_Vector_of_real(X0,X2)))),
% 58.08/9.39 inference(rectify,[],[f3662])).
% 58.08/9.39 tff(f3662,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (real_V5047593784448816457lgebra(X0) => ! [X9 : real,X18 : real] : real_Vector_of_real(X0,divide_divide(real,X9,X18)) = divide_divide(X0,real_Vector_of_real(X0,X9),real_Vector_of_real(X0,X18)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3661_of__real__divide)).
% 58.08/9.39 tff(f111548,plain,(
% 58.08/9.39 spl5880_5025),
% 58.08/9.39 inference(avatar_split_clause,[],[f50354,f111546])).
% 58.08/9.39 tff(f111546,plain,(
% 58.08/9.39 spl5880_5025 <=> ! [X0 : set(int)] : aa(set(int),int,complete_Sup_Sup(int),X0) = the(int,aTP_Lamp_aco(set(int),fun(int,$o),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5025])])).
% 58.08/9.39 tff(f50354,plain,(
% 58.08/9.39 ( ! [X0 : set(int)] : (aa(set(int),int,complete_Sup_Sup(int),X0) = the(int,aTP_Lamp_aco(set(int),fun(int,$o),X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22881])).
% 58.08/9.39 tff(f22881,plain,(
% 58.08/9.39 ! [X0 : set(int)] : aa(set(int),int,complete_Sup_Sup(int),X0) = the(int,aTP_Lamp_aco(set(int),fun(int,$o),X0))),
% 58.08/9.39 inference(rectify,[],[f7419])).
% 58.08/9.39 tff(f7419,axiom,(
% 58.08/9.39 ! [X160 : set(int)] : aa(set(int),int,complete_Sup_Sup(int),X160) = the(int,aTP_Lamp_aco(set(int),fun(int,$o),X160))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7418_Sup__int__def)).
% 58.08/9.39 tff(f111544,plain,(
% 58.08/9.39 spl5880_5024),
% 58.08/9.39 inference(avatar_split_clause,[],[f50348,f111542])).
% 58.08/9.39 tff(f111542,plain,(
% 58.08/9.39 spl5880_5024 <=> ! [X0 : complex] : zero_zero(real) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),X0),cnj(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5024])])).
% 58.08/9.39 tff(f50348,plain,(
% 58.08/9.39 ( ! [X0 : complex] : (zero_zero(real) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),X0),cnj(X0)))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22875])).
% 58.08/9.39 tff(f22875,plain,(
% 58.08/9.39 ! [X0 : complex] : zero_zero(real) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),X0),cnj(X0)))),
% 58.08/9.39 inference(rectify,[],[f5304])).
% 58.08/9.39 tff(f5304,axiom,(
% 58.08/9.39 ! [X21 : complex] : zero_zero(real) = im(aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),X21),cnj(X21)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5303_complex__In__mult__cnj__zero)).
% 58.08/9.39 tff(f111530,plain,(
% 58.08/9.39 spl5880_5023 | ~spl5880_1557 | ~spl5880_5022),
% 58.08/9.39 inference(avatar_split_clause,[],[f111526,f111523,f86414,f111528])).
% 58.08/9.39 tff(f111528,plain,(
% 58.08/9.39 spl5880_5023 <=> ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,code_positive,aa(num,num,bit0,one2)),X0) | ($true != bG295(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5023])])).
% 58.08/9.39 tff(f86414,plain,(
% 58.08/9.39 spl5880_1557 <=> numeral_numeral(code_integer) = code_positive),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_1557])])).
% 58.08/9.39 tff(f111523,plain,(
% 58.08/9.39 spl5880_5022 <=> ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG295(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5022])])).
% 58.08/9.39 tff(f111526,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,code_positive,aa(num,num,bit0,one2)),X0) | ($true != bG295(X0))) ) | (~spl5880_1557 | ~spl5880_5022)),
% 58.08/9.39 inference(forward_demodulation,[],[f111524,f86416])).
% 58.08/9.39 tff(f86416,plain,(
% 58.08/9.39 numeral_numeral(code_integer) = code_positive | ~spl5880_1557),
% 58.08/9.39 inference(avatar_component_clause,[],[f86414])).
% 58.08/9.39 tff(f111524,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG295(X0))) ) | ~spl5880_5022),
% 58.08/9.39 inference(avatar_component_clause,[],[f111523])).
% 58.08/9.39 tff(f111525,plain,(
% 58.08/9.39 spl5880_5022),
% 58.08/9.39 inference(avatar_split_clause,[],[f49196,f111523])).
% 58.08/9.39 tff(f49196,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG295(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38683])).
% 58.08/9.39 tff(f38683,plain,(
% 58.08/9.39 ! [X0 : code_integer] : ((~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG295(X0))) & (($true = bG295(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9901])).
% 58.08/9.39 tff(f9901,plain,(
% 58.08/9.39 ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) <=> ($true = bG295(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG295])])).
% 58.08/9.39 tff(f111511,plain,(
% 58.08/9.39 spl5880_5021 | ~spl5880_1557 | ~spl5880_5020),
% 58.08/9.39 inference(avatar_split_clause,[],[f111507,f111504,f86414,f111509])).
% 58.08/9.39 tff(f111509,plain,(
% 58.08/9.39 spl5880_5021 <=> ! [X0 : code_integer] : (dvd_dvd(code_integer,aa(num,code_integer,code_positive,aa(num,num,bit0,one2)),X0) | ($true = bG295(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5021])])).
% 58.08/9.39 tff(f111504,plain,(
% 58.08/9.39 spl5880_5020 <=> ! [X0 : code_integer] : (($true = bG295(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5020])])).
% 58.08/9.39 tff(f111507,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (dvd_dvd(code_integer,aa(num,code_integer,code_positive,aa(num,num,bit0,one2)),X0) | ($true = bG295(X0))) ) | (~spl5880_1557 | ~spl5880_5020)),
% 58.08/9.39 inference(forward_demodulation,[],[f111505,f86416])).
% 58.08/9.39 tff(f111505,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (($true = bG295(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5020),
% 58.08/9.39 inference(avatar_component_clause,[],[f111504])).
% 58.08/9.39 tff(f111506,plain,(
% 58.08/9.39 spl5880_5020),
% 58.08/9.39 inference(avatar_split_clause,[],[f49195,f111504])).
% 58.08/9.39 tff(f49195,plain,(
% 58.08/9.39 ( ! [X0 : code_integer] : (($true = bG295(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38683])).
% 58.08/9.39 tff(f111500,plain,(
% 58.08/9.39 spl5880_5019 | ~spl5880_1558 | ~spl5880_5018),
% 58.08/9.39 inference(avatar_split_clause,[],[f111496,f111493,f86419,f111498])).
% 58.08/9.39 tff(f111498,plain,(
% 58.08/9.39 spl5880_5019 <=> ! [X0 : int] : (dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG319(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5019])])).
% 58.08/9.39 tff(f111493,plain,(
% 58.08/9.39 spl5880_5018 <=> ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG319(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5018])])).
% 58.08/9.39 tff(f111496,plain,(
% 58.08/9.39 ( ! [X0 : int] : (dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true != bG319(X0))) ) | (~spl5880_1558 | ~spl5880_5018)),
% 58.08/9.39 inference(forward_demodulation,[],[f111494,f86421])).
% 58.08/9.39 tff(f111494,plain,(
% 58.08/9.39 ( ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG319(X0))) ) | ~spl5880_5018),
% 58.08/9.39 inference(avatar_component_clause,[],[f111493])).
% 58.08/9.39 tff(f111495,plain,(
% 58.08/9.39 spl5880_5018),
% 58.08/9.39 inference(avatar_split_clause,[],[f49151,f111493])).
% 58.08/9.39 tff(f49151,plain,(
% 58.08/9.39 ( ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG319(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38682])).
% 58.08/9.39 tff(f38682,plain,(
% 58.08/9.39 ! [X0 : int] : ((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG319(X0))) & (($true = bG319(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9953])).
% 58.08/9.39 tff(f9953,plain,(
% 58.08/9.39 ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) <=> ($true = bG319(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG319])])).
% 58.08/9.39 tff(f111471,plain,(
% 58.08/9.39 spl5880_5017 | ~spl5880_1558 | ~spl5880_5016),
% 58.08/9.39 inference(avatar_split_clause,[],[f111467,f111464,f86419,f111469])).
% 58.08/9.39 tff(f111464,plain,(
% 58.08/9.39 spl5880_5016 <=> ! [X0 : int] : (($true = bG319(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5016])])).
% 58.08/9.39 tff(f111467,plain,(
% 58.08/9.39 ( ! [X0 : int] : (~dvd_dvd(int,aa(num,int,code_Target_positive,aa(num,num,bit0,one2)),X0) | ($true = bG319(X0))) ) | (~spl5880_1558 | ~spl5880_5016)),
% 58.08/9.39 inference(forward_demodulation,[],[f111465,f86421])).
% 58.08/9.39 tff(f111465,plain,(
% 58.08/9.39 ( ! [X0 : int] : (($true = bG319(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5016),
% 58.08/9.39 inference(avatar_component_clause,[],[f111464])).
% 58.08/9.39 tff(f111466,plain,(
% 58.08/9.39 spl5880_5016),
% 58.08/9.39 inference(avatar_split_clause,[],[f49150,f111464])).
% 58.08/9.39 tff(f49150,plain,(
% 58.08/9.39 ( ! [X0 : int] : (($true = bG319(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38682])).
% 58.08/9.39 tff(f111460,plain,(
% 58.08/9.39 spl5880_5015 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5014),
% 58.08/9.39 inference(avatar_split_clause,[],[f111456,f111451,f103044,f86300,f111458])).
% 58.08/9.39 tff(f111458,plain,(
% 58.08/9.39 spl5880_5015 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG332(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5015])])).
% 58.08/9.39 tff(f111451,plain,(
% 58.08/9.39 spl5880_5014 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG332(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5014])])).
% 58.08/9.39 tff(f111456,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG332(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5014)),
% 58.08/9.39 inference(forward_demodulation,[],[f111455,f103045])).
% 58.08/9.39 tff(f111455,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG332(X0))) ) | (~spl5880_1536 | ~spl5880_5014)),
% 58.08/9.39 inference(forward_demodulation,[],[f111454,f86302])).
% 58.08/9.39 tff(f111454,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG332(X0))) ) | ~spl5880_5014),
% 58.08/9.39 inference(forward_demodulation,[],[f111452,f69765])).
% 58.08/9.39 tff(f111452,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG332(X0))) ) | ~spl5880_5014),
% 58.08/9.39 inference(avatar_component_clause,[],[f111451])).
% 58.08/9.39 tff(f111453,plain,(
% 58.08/9.39 spl5880_5014),
% 58.08/9.39 inference(avatar_split_clause,[],[f49129,f111451])).
% 58.08/9.39 tff(f49129,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG332(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38679])).
% 58.08/9.39 tff(f38679,plain,(
% 58.08/9.39 ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG332(X0))) & (($true = bG332(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9986])).
% 58.08/9.39 tff(f9986,plain,(
% 58.08/9.39 ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG332(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG332])])).
% 58.08/9.39 tff(f111436,plain,(
% 58.08/9.39 spl5880_5013 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5012),
% 58.08/9.39 inference(avatar_split_clause,[],[f111432,f111427,f103044,f86300,f111434])).
% 58.08/9.39 tff(f111434,plain,(
% 58.08/9.39 spl5880_5013 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG332(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5013])])).
% 58.08/9.39 tff(f111427,plain,(
% 58.08/9.39 spl5880_5012 <=> ! [X0 : nat] : (($true = bG332(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5012])])).
% 58.08/9.39 tff(f111432,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG332(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5012)),
% 58.08/9.39 inference(forward_demodulation,[],[f111431,f103045])).
% 58.08/9.39 tff(f111431,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG332(X0))) ) | (~spl5880_1536 | ~spl5880_5012)),
% 58.08/9.39 inference(forward_demodulation,[],[f111430,f86302])).
% 58.08/9.39 tff(f111430,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG332(X0))) ) | ~spl5880_5012),
% 58.08/9.39 inference(forward_demodulation,[],[f111428,f69765])).
% 58.08/9.39 tff(f111428,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG332(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5012),
% 58.08/9.39 inference(avatar_component_clause,[],[f111427])).
% 58.08/9.39 tff(f111429,plain,(
% 58.08/9.39 spl5880_5012),
% 58.08/9.39 inference(avatar_split_clause,[],[f49128,f111427])).
% 58.08/9.39 tff(f49128,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG332(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38679])).
% 58.08/9.39 tff(f111423,plain,(
% 58.08/9.39 spl5880_5011 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5010),
% 58.08/9.39 inference(avatar_split_clause,[],[f111418,f111413,f103044,f86300,f111421])).
% 58.08/9.39 tff(f111421,plain,(
% 58.08/9.39 spl5880_5011 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG333(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5011])])).
% 58.08/9.39 tff(f111413,plain,(
% 58.08/9.39 spl5880_5010 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG333(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5010])])).
% 58.08/9.39 tff(f111418,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG333(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5010)),
% 58.08/9.39 inference(forward_demodulation,[],[f111417,f103045])).
% 58.08/9.39 tff(f111417,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG333(X0))) ) | (~spl5880_1536 | ~spl5880_5010)),
% 58.08/9.39 inference(forward_demodulation,[],[f111416,f86302])).
% 58.08/9.39 tff(f111416,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG333(X0))) ) | ~spl5880_5010),
% 58.08/9.39 inference(forward_demodulation,[],[f111414,f69765])).
% 58.08/9.39 tff(f111414,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG333(X0))) ) | ~spl5880_5010),
% 58.08/9.39 inference(avatar_component_clause,[],[f111413])).
% 58.08/9.39 tff(f111415,plain,(
% 58.08/9.39 spl5880_5010),
% 58.08/9.39 inference(avatar_split_clause,[],[f49127,f111413])).
% 58.08/9.39 tff(f49127,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG333(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38678])).
% 58.08/9.39 tff(f38678,plain,(
% 58.08/9.39 ! [X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG333(X0))) & (($true = bG333(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9987])).
% 58.08/9.39 tff(f9987,plain,(
% 58.08/9.39 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG333(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG333])])).
% 58.08/9.39 tff(f111378,plain,(
% 58.08/9.39 spl5880_5009 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5008),
% 58.08/9.39 inference(avatar_split_clause,[],[f111374,f111369,f103044,f86300,f111376])).
% 58.08/9.39 tff(f111376,plain,(
% 58.08/9.39 spl5880_5009 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG333(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5009])])).
% 58.08/9.39 tff(f111369,plain,(
% 58.08/9.39 spl5880_5008 <=> ! [X0 : nat] : (($true = bG333(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5008])])).
% 58.08/9.39 tff(f111374,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG333(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5008)),
% 58.08/9.39 inference(forward_demodulation,[],[f111373,f103045])).
% 58.08/9.39 tff(f111373,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG333(X0))) ) | (~spl5880_1536 | ~spl5880_5008)),
% 58.08/9.39 inference(forward_demodulation,[],[f111372,f86302])).
% 58.08/9.39 tff(f111372,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG333(X0))) ) | ~spl5880_5008),
% 58.08/9.39 inference(forward_demodulation,[],[f111370,f69765])).
% 58.08/9.39 tff(f111370,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG333(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5008),
% 58.08/9.39 inference(avatar_component_clause,[],[f111369])).
% 58.08/9.39 tff(f111371,plain,(
% 58.08/9.39 spl5880_5008),
% 58.08/9.39 inference(avatar_split_clause,[],[f49126,f111369])).
% 58.08/9.39 tff(f49126,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG333(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38678])).
% 58.08/9.39 tff(f111365,plain,(
% 58.08/9.39 spl5880_5007 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5006),
% 58.08/9.39 inference(avatar_split_clause,[],[f111361,f111356,f103044,f86300,f111363])).
% 58.08/9.39 tff(f111363,plain,(
% 58.08/9.39 spl5880_5007 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG334(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5007])])).
% 58.08/9.39 tff(f111356,plain,(
% 58.08/9.39 spl5880_5006 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG334(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5006])])).
% 58.08/9.39 tff(f111361,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG334(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5006)),
% 58.08/9.39 inference(forward_demodulation,[],[f111360,f103045])).
% 58.08/9.39 tff(f111360,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG334(X0))) ) | (~spl5880_1536 | ~spl5880_5006)),
% 58.08/9.39 inference(forward_demodulation,[],[f111359,f86302])).
% 58.08/9.39 tff(f111359,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG334(X0))) ) | ~spl5880_5006),
% 58.08/9.39 inference(forward_demodulation,[],[f111357,f69765])).
% 58.08/9.39 tff(f111357,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG334(X0))) ) | ~spl5880_5006),
% 58.08/9.39 inference(avatar_component_clause,[],[f111356])).
% 58.08/9.39 tff(f111358,plain,(
% 58.08/9.39 spl5880_5006),
% 58.08/9.39 inference(avatar_split_clause,[],[f49125,f111356])).
% 58.08/9.39 tff(f49125,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG334(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38677])).
% 58.08/9.39 tff(f38677,plain,(
% 58.08/9.39 ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG334(X0))) & (($true = bG334(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9990])).
% 58.08/9.39 tff(f9990,plain,(
% 58.08/9.39 ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG334(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG334])])).
% 58.08/9.39 tff(f111342,plain,(
% 58.08/9.39 spl5880_5005 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5004),
% 58.08/9.39 inference(avatar_split_clause,[],[f111338,f111333,f103044,f86300,f111340])).
% 58.08/9.39 tff(f111340,plain,(
% 58.08/9.39 spl5880_5005 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG334(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5005])])).
% 58.08/9.39 tff(f111333,plain,(
% 58.08/9.39 spl5880_5004 <=> ! [X0 : nat] : (($true = bG334(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5004])])).
% 58.08/9.39 tff(f111338,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG334(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5004)),
% 58.08/9.39 inference(forward_demodulation,[],[f111337,f103045])).
% 58.08/9.39 tff(f111337,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG334(X0))) ) | (~spl5880_1536 | ~spl5880_5004)),
% 58.08/9.39 inference(forward_demodulation,[],[f111336,f86302])).
% 58.08/9.39 tff(f111336,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG334(X0))) ) | ~spl5880_5004),
% 58.08/9.39 inference(forward_demodulation,[],[f111334,f69765])).
% 58.08/9.39 tff(f111334,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG334(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5004),
% 58.08/9.39 inference(avatar_component_clause,[],[f111333])).
% 58.08/9.39 tff(f111335,plain,(
% 58.08/9.39 spl5880_5004),
% 58.08/9.39 inference(avatar_split_clause,[],[f49124,f111333])).
% 58.08/9.39 tff(f49124,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG334(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38677])).
% 58.08/9.39 tff(f111329,plain,(
% 58.08/9.39 spl5880_5003 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5002),
% 58.08/9.39 inference(avatar_split_clause,[],[f111325,f111320,f103044,f86300,f111327])).
% 58.08/9.39 tff(f111327,plain,(
% 58.08/9.39 spl5880_5003 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG335(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5003])])).
% 58.08/9.39 tff(f111320,plain,(
% 58.08/9.39 spl5880_5002 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG335(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5002])])).
% 58.08/9.39 tff(f111325,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG335(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5002)),
% 58.08/9.39 inference(forward_demodulation,[],[f111324,f103045])).
% 58.08/9.39 tff(f111324,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG335(X0))) ) | (~spl5880_1536 | ~spl5880_5002)),
% 58.08/9.39 inference(forward_demodulation,[],[f111323,f86302])).
% 58.08/9.39 tff(f111323,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG335(X0))) ) | ~spl5880_5002),
% 58.08/9.39 inference(forward_demodulation,[],[f111321,f69765])).
% 58.08/9.39 tff(f111321,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG335(X0))) ) | ~spl5880_5002),
% 58.08/9.39 inference(avatar_component_clause,[],[f111320])).
% 58.08/9.39 tff(f111322,plain,(
% 58.08/9.39 spl5880_5002),
% 58.08/9.39 inference(avatar_split_clause,[],[f49123,f111320])).
% 58.08/9.39 tff(f49123,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG335(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38676])).
% 58.08/9.39 tff(f38676,plain,(
% 58.08/9.39 ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG335(X0))) & (($true = bG335(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9993])).
% 58.08/9.39 tff(f9993,plain,(
% 58.08/9.39 ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG335(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG335])])).
% 58.08/9.39 tff(f111306,plain,(
% 58.08/9.39 spl5880_5001 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_5000),
% 58.08/9.39 inference(avatar_split_clause,[],[f111302,f111297,f103044,f86300,f111304])).
% 58.08/9.39 tff(f111304,plain,(
% 58.08/9.39 spl5880_5001 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG335(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5001])])).
% 58.08/9.39 tff(f111297,plain,(
% 58.08/9.39 spl5880_5000 <=> ! [X0 : nat] : (($true = bG335(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_5000])])).
% 58.08/9.39 tff(f111302,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG335(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_5000)),
% 58.08/9.39 inference(forward_demodulation,[],[f111301,f103045])).
% 58.08/9.39 tff(f111301,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG335(X0))) ) | (~spl5880_1536 | ~spl5880_5000)),
% 58.08/9.39 inference(forward_demodulation,[],[f111300,f86302])).
% 58.08/9.39 tff(f111300,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG335(X0))) ) | ~spl5880_5000),
% 58.08/9.39 inference(forward_demodulation,[],[f111298,f69765])).
% 58.08/9.39 tff(f111298,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG335(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_5000),
% 58.08/9.39 inference(avatar_component_clause,[],[f111297])).
% 58.08/9.39 tff(f111299,plain,(
% 58.08/9.39 spl5880_5000),
% 58.08/9.39 inference(avatar_split_clause,[],[f49122,f111297])).
% 58.08/9.39 tff(f49122,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG335(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38676])).
% 58.08/9.39 tff(f111293,plain,(
% 58.08/9.39 spl5880_4999 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4998),
% 58.08/9.39 inference(avatar_split_clause,[],[f111289,f111284,f103044,f86300,f111291])).
% 58.08/9.39 tff(f111291,plain,(
% 58.08/9.39 spl5880_4999 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG336(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4999])])).
% 58.08/9.39 tff(f111284,plain,(
% 58.08/9.39 spl5880_4998 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG336(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4998])])).
% 58.08/9.39 tff(f111289,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG336(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4998)),
% 58.08/9.39 inference(forward_demodulation,[],[f111288,f103045])).
% 58.08/9.39 tff(f111288,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG336(X0))) ) | (~spl5880_1536 | ~spl5880_4998)),
% 58.08/9.39 inference(forward_demodulation,[],[f111287,f86302])).
% 58.08/9.39 tff(f111287,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG336(X0))) ) | ~spl5880_4998),
% 58.08/9.39 inference(forward_demodulation,[],[f111285,f69765])).
% 58.08/9.39 tff(f111285,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG336(X0))) ) | ~spl5880_4998),
% 58.08/9.39 inference(avatar_component_clause,[],[f111284])).
% 58.08/9.39 tff(f111286,plain,(
% 58.08/9.39 spl5880_4998),
% 58.08/9.39 inference(avatar_split_clause,[],[f49121,f111284])).
% 58.08/9.39 tff(f49121,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG336(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38675])).
% 58.08/9.39 tff(f38675,plain,(
% 58.08/9.39 ! [X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG336(X0))) & (($true = bG336(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9994])).
% 58.08/9.39 tff(f9994,plain,(
% 58.08/9.39 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG336(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG336])])).
% 58.08/9.39 tff(f111250,plain,(
% 58.08/9.39 spl5880_4997 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4996),
% 58.08/9.39 inference(avatar_split_clause,[],[f111246,f111241,f103044,f86300,f111248])).
% 58.08/9.39 tff(f111248,plain,(
% 58.08/9.39 spl5880_4997 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG336(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4997])])).
% 58.08/9.39 tff(f111241,plain,(
% 58.08/9.39 spl5880_4996 <=> ! [X0 : nat] : (($true = bG336(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4996])])).
% 58.08/9.39 tff(f111246,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG336(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4996)),
% 58.08/9.39 inference(forward_demodulation,[],[f111245,f103045])).
% 58.08/9.39 tff(f111245,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG336(X0))) ) | (~spl5880_1536 | ~spl5880_4996)),
% 58.08/9.39 inference(forward_demodulation,[],[f111244,f86302])).
% 58.08/9.39 tff(f111244,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG336(X0))) ) | ~spl5880_4996),
% 58.08/9.39 inference(forward_demodulation,[],[f111242,f69765])).
% 58.08/9.39 tff(f111242,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG336(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_4996),
% 58.08/9.39 inference(avatar_component_clause,[],[f111241])).
% 58.08/9.39 tff(f111243,plain,(
% 58.08/9.39 spl5880_4996),
% 58.08/9.39 inference(avatar_split_clause,[],[f49120,f111241])).
% 58.08/9.39 tff(f49120,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG336(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38675])).
% 58.08/9.39 tff(f111237,plain,(
% 58.08/9.39 spl5880_4995 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4994),
% 58.08/9.39 inference(avatar_split_clause,[],[f111233,f111228,f103044,f86300,f111235])).
% 58.08/9.39 tff(f111235,plain,(
% 58.08/9.39 spl5880_4995 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG337(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4995])])).
% 58.08/9.39 tff(f111228,plain,(
% 58.08/9.39 spl5880_4994 <=> ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG337(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4994])])).
% 58.08/9.39 tff(f111233,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true != bG337(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4994)),
% 58.08/9.39 inference(forward_demodulation,[],[f111232,f103045])).
% 58.08/9.39 tff(f111232,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true != bG337(X0))) ) | (~spl5880_1536 | ~spl5880_4994)),
% 58.08/9.39 inference(forward_demodulation,[],[f111231,f86302])).
% 58.08/9.39 tff(f111231,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true != bG337(X0))) ) | ~spl5880_4994),
% 58.08/9.39 inference(forward_demodulation,[],[f111229,f69765])).
% 58.08/9.39 tff(f111229,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG337(X0))) ) | ~spl5880_4994),
% 58.08/9.39 inference(avatar_component_clause,[],[f111228])).
% 58.08/9.39 tff(f111230,plain,(
% 58.08/9.39 spl5880_4994),
% 58.08/9.39 inference(avatar_split_clause,[],[f49119,f111228])).
% 58.08/9.39 tff(f49119,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG337(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38674])).
% 58.08/9.39 tff(f38674,plain,(
% 58.08/9.39 ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG337(X0))) & (($true = bG337(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f9997])).
% 58.08/9.39 tff(f9997,plain,(
% 58.08/9.39 ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG337(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG337])])).
% 58.08/9.39 tff(f111215,plain,(
% 58.08/9.39 spl5880_4993 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4992),
% 58.08/9.39 inference(avatar_split_clause,[],[f111211,f111206,f103044,f86300,f111213])).
% 58.08/9.39 tff(f111213,plain,(
% 58.08/9.39 spl5880_4993 <=> ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG337(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4993])])).
% 58.08/9.39 tff(f111206,plain,(
% 58.08/9.39 spl5880_4992 <=> ! [X0 : nat] : (($true = bG337(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4992])])).
% 58.08/9.39 tff(f111211,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X0) | ($true = bG337(X0))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4992)),
% 58.08/9.39 inference(forward_demodulation,[],[f111210,f103045])).
% 58.08/9.39 tff(f111210,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X0) | ($true = bG337(X0))) ) | (~spl5880_1536 | ~spl5880_4992)),
% 58.08/9.39 inference(forward_demodulation,[],[f111209,f86302])).
% 58.08/9.39 tff(f111209,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X0) | ($true = bG337(X0))) ) | ~spl5880_4992),
% 58.08/9.39 inference(forward_demodulation,[],[f111207,f69765])).
% 58.08/9.39 tff(f111207,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG337(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) ) | ~spl5880_4992),
% 58.08/9.39 inference(avatar_component_clause,[],[f111206])).
% 58.08/9.39 tff(f111208,plain,(
% 58.08/9.39 spl5880_4992),
% 58.08/9.39 inference(avatar_split_clause,[],[f49118,f111206])).
% 58.08/9.39 tff(f49118,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = bG337(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f38674])).
% 58.08/9.39 tff(f111204,plain,(
% 58.08/9.39 spl5880_4991),
% 58.08/9.39 inference(avatar_split_clause,[],[f49083,f111202])).
% 58.08/9.39 tff(f111202,plain,(
% 58.08/9.39 spl5880_4991 <=> ! [X3 : $tType,X2 : X3] : (archim6421214686448440834_floor(X3,X2) = iG355(X3,X2) | aa(int,X3,ring_1_of_int(X3),archim6421214686448440834_floor(X3,X2)) != X2)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4991])])).
% 58.08/9.39 tff(f49083,plain,(
% 58.08/9.39 ( ! [X3 : $tType,X2 : X3] : (archim6421214686448440834_floor(X3,X2) = iG355(X3,X2) | aa(int,X3,ring_1_of_int(X3),archim6421214686448440834_floor(X3,X2)) != X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28078])).
% 58.08/9.39 tff(f28078,plain,(
% 58.08/9.39 ! [X0 : X1,X1 : $tType] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG355(X1,X0) | aa(int,X1,ring_1_of_int(X1),archim6421214686448440834_floor(X1,X0)) = X0) & ! [X2 : X3,X3 : $tType] : (archim6421214686448440834_floor(X3,X2) = iG355(X3,X2) | aa(int,X3,ring_1_of_int(X3),archim6421214686448440834_floor(X3,X2)) != X2)),
% 58.08/9.39 inference(ennf_transformation,[],[f22606])).
% 58.08/9.39 tff(f22606,plain,(
% 58.08/9.39 ! [X0 : X1,X1 : $tType] : (aa(int,X1,ring_1_of_int(X1),archim6421214686448440834_floor(X1,X0)) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG355(X1,X0)) & ! [X2 : X3,X3 : $tType] : (aa(int,X3,ring_1_of_int(X3),archim6421214686448440834_floor(X3,X2)) = X2 => archim6421214686448440834_floor(X3,X2) = iG355(X3,X2))),
% 58.08/9.39 inference(flattening,[],[f22605])).
% 58.08/9.39 tff(f22605,plain,(
% 58.08/9.39 ! [X0 : X1,X1 : $tType] : (~aa(int,X1,ring_1_of_int(X1),archim6421214686448440834_floor(X1,X0)) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG355(X1,X0)) & ! [X2 : X3,X3 : $tType] : (aa(int,X3,ring_1_of_int(X3),archim6421214686448440834_floor(X3,X2)) = X2 => archim6421214686448440834_floor(X3,X2) = iG355(X3,X2))),
% 58.08/9.39 inference(rectify,[],[f10365])).
% 58.08/9.39 tff(f10365,plain,(
% 58.08/9.39 ! [X1 : X0,X0 : $tType] : (~aa(int,X0,ring_1_of_int(X0),archim6421214686448440834_floor(X0,X1)) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X1)),one_one(int)) = iG355(X0,X1)) & ! [X1 : X0,X0 : $tType] : (aa(int,X0,ring_1_of_int(X0),archim6421214686448440834_floor(X0,X1)) = X1 => archim6421214686448440834_floor(X0,X1) = iG355(X0,X1))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG355])])).
% 58.08/9.39 tff(f111200,plain,(
% 58.08/9.39 spl5880_4990),
% 58.08/9.39 inference(avatar_split_clause,[],[f47075,f111198])).
% 58.08/9.39 tff(f111198,plain,(
% 58.08/9.39 spl5880_4990 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1339(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4990])])).
% 58.08/9.39 tff(f47075,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1339(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27588])).
% 58.08/9.39 tff(f27588,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1339(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (iG1338(X11,X7,X8,X9,X10) = iG1339(X6,X7,X8,X9,X10,X11) | lG1329(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f21211])).
% 58.08/9.39 tff(f21211,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1329(X5,X4,X3,X2,X1) != X0 => iG1339(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1329(X11,X10,X9,X8,X7) = X6 => iG1338(X11,X7,X8,X9,X10) = iG1339(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f21210])).
% 58.08/9.39 tff(f21210,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1329(X5,X4,X3,X2,X1) = X0 => iG1339(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1329(X11,X10,X9,X8,X7) = X6 => iG1338(X11,X7,X8,X9,X10) = iG1339(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f17699])).
% 58.08/9.39 tff(f17699,plain,(
% 58.08/9.39 ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~lG1329(X23,X24,X25,X1,X21) = X22 => iG1339(X22,X21,X1,X25,X24,X23) = X22) & ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (lG1329(X23,X24,X25,X1,X21) = X22 => iG1338(X23,X21,X1,X25,X24) = iG1339(X22,X21,X1,X25,X24,X23))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1339])])).
% 58.08/9.39 tff(f111196,plain,(
% 58.08/9.39 spl5880_4989),
% 58.08/9.39 inference(avatar_split_clause,[],[f47073,f111194])).
% 58.08/9.39 tff(f111194,plain,(
% 58.08/9.39 spl5880_4989 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1340(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4989])])).
% 58.08/9.39 tff(f47073,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1340(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27587])).
% 58.08/9.39 tff(f27587,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1340(X0,X1,X2,X3,X4,X5) = X0 | lG1329(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1333(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1335(X10,X9,X8,X7,X11)),lG1333(X10,X9,X8,X7,X11))))) = iG1340(X6,X7,X8,X9,X10,X11) | lG1329(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f21209])).
% 58.08/9.39 tff(f21209,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1329(X5,X4,X3,X2,X1) != X0 => iG1340(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1329(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1333(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1335(X10,X9,X8,X7,X11)),lG1333(X10,X9,X8,X7,X11))))) = iG1340(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f21208])).
% 58.08/9.39 tff(f21208,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1329(X5,X4,X3,X2,X1) = X0 => iG1340(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1329(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1333(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1335(X10,X9,X8,X7,X11)),lG1333(X10,X9,X8,X7,X11))))) = iG1340(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f17700])).
% 58.08/9.39 tff(f17700,plain,(
% 58.08/9.39 ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~lG1329(X23,X24,X25,X1,X21) = X22 => iG1340(X22,X21,X1,X25,X24,X23) = X22) & ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (lG1329(X23,X24,X25,X1,X21) = X22 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1333(X24,X25,X1,X21,X23)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1335(X24,X25,X1,X21,X23)),lG1333(X24,X25,X1,X21,X23))))) = iG1340(X22,X21,X1,X25,X24,X23))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1340])])).
% 58.08/9.39 tff(f111192,plain,(
% 58.08/9.39 spl5880_4988),
% 58.08/9.39 inference(avatar_split_clause,[],[f47016,f111190])).
% 58.08/9.39 tff(f111190,plain,(
% 58.08/9.39 spl5880_4988 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1371(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4988])])).
% 58.08/9.39 tff(f47016,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1371(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27577])).
% 58.08/9.39 tff(f27577,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1371(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (iG1370(X11,X7,X8,X9,X10) = iG1371(X6,X7,X8,X9,X10,X11) | lG1361(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f21172])).
% 58.08/9.39 tff(f21172,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1361(X5,X4,X3,X2,X1) != X0 => iG1371(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1361(X11,X10,X9,X8,X7) = X6 => iG1370(X11,X7,X8,X9,X10) = iG1371(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f21171])).
% 58.08/9.39 tff(f21171,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1361(X5,X4,X3,X2,X1) = X0 => iG1371(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1361(X11,X10,X9,X8,X7) = X6 => iG1370(X11,X7,X8,X9,X10) = iG1371(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f17733])).
% 58.08/9.39 tff(f17733,plain,(
% 58.08/9.39 ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~lG1361(X23,X24,X25,X1,X21) = X22 => iG1371(X22,X21,X1,X25,X24,X23) = X22) & ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (lG1361(X23,X24,X25,X1,X21) = X22 => iG1370(X23,X21,X1,X25,X24) = iG1371(X22,X21,X1,X25,X24,X23))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1371])])).
% 58.08/9.39 tff(f111188,plain,(
% 58.08/9.39 spl5880_4987),
% 58.08/9.39 inference(avatar_split_clause,[],[f47014,f111186])).
% 58.08/9.39 tff(f111186,plain,(
% 58.08/9.39 spl5880_4987 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1372(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4987])])).
% 58.08/9.39 tff(f47014,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1372(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27576])).
% 58.08/9.39 tff(f27576,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1372(X0,X1,X2,X3,X4,X5) = X0 | lG1361(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1365(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1367(X10,X9,X8,X7,X11)),lG1365(X10,X9,X8,X7,X11))))) = iG1372(X6,X7,X8,X9,X10,X11) | lG1361(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f21170])).
% 58.08/9.39 tff(f21170,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1361(X5,X4,X3,X2,X1) != X0 => iG1372(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1361(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1365(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1367(X10,X9,X8,X7,X11)),lG1365(X10,X9,X8,X7,X11))))) = iG1372(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f21169])).
% 58.08/9.39 tff(f21169,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1361(X5,X4,X3,X2,X1) = X0 => iG1372(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1361(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1365(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1367(X10,X9,X8,X7,X11)),lG1365(X10,X9,X8,X7,X11))))) = iG1372(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f17734])).
% 58.08/9.39 tff(f17734,plain,(
% 58.08/9.39 ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~lG1361(X23,X24,X25,X1,X21) = X22 => iG1372(X22,X21,X1,X25,X24,X23) = X22) & ! [X22 : nat,X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (lG1361(X23,X24,X25,X1,X21) = X22 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1365(X24,X25,X1,X21,X23)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1367(X24,X25,X1,X21,X23)),lG1365(X24,X25,X1,X21,X23))))) = iG1372(X22,X21,X1,X25,X24,X23))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1372])])).
% 58.08/9.39 tff(f111184,plain,(
% 58.08/9.39 spl5880_4986),
% 58.08/9.39 inference(avatar_split_clause,[],[f46557,f111182])).
% 58.08/9.39 tff(f46557,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X3 : list(X0),X1 : nat,X4 : X0] : (aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4) | X1 = X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27455])).
% 58.08/9.39 tff(f27455,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4) | X1 = X2) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (iG1593(X5,X6,X7,X8,X9) = X9 | X6 != X7)),
% 58.08/9.39 inference(ennf_transformation,[],[f20843])).
% 58.08/9.39 tff(f20843,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (X1 != X2 => aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (X6 = X7 => iG1593(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(flattening,[],[f20842])).
% 58.08/9.39 tff(f20842,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (~X1 = X2 => aa(nat,X0,nth(X0,X3),X1) = iG1593(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (X6 = X7 => iG1593(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(rectify,[],[f19683])).
% 58.08/9.39 tff(f19683,plain,(
% 58.08/9.39 ! [X0 : $tType,X4 : nat,X1 : nat,X2 : list(X0),X3 : X0] : (~X1 = X4 => aa(nat,X0,nth(X0,X2),X4) = iG1593(X0,X4,X1,X2,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X2 : list(X0),X3 : X0] : (X1 = X4 => iG1593(X0,X4,X1,X2,X3) = X3)),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1593])])).
% 58.08/9.39 tff(f111180,plain,(
% 58.08/9.39 spl5880_4985),
% 58.08/9.39 inference(avatar_split_clause,[],[f46352,f111178])).
% 58.08/9.39 tff(f111178,plain,(
% 58.08/9.39 spl5880_4985 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1708(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4985])])).
% 58.08/9.39 tff(f46352,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1708(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27377])).
% 58.08/9.39 tff(f27377,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1708(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (iG1707(X11,X7,X8,X9,X10) = iG1708(X6,X7,X8,X9,X10,X11) | lG1698(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f20674])).
% 58.08/9.39 tff(f20674,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1698(X5,X4,X3,X2,X1) != X0 => iG1708(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1698(X11,X10,X9,X8,X7) = X6 => iG1707(X11,X7,X8,X9,X10) = iG1708(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f20673])).
% 58.08/9.39 tff(f20673,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1698(X5,X4,X3,X2,X1) = X0 => iG1708(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1698(X11,X10,X9,X8,X7) = X6 => iG1707(X11,X7,X8,X9,X10) = iG1708(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f19978])).
% 58.08/9.39 tff(f19978,plain,(
% 58.08/9.39 ! [X1 : nat,X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (~lG1698(X2,X3,X4,X0,X5) = X1 => iG1708(X1,X5,X0,X4,X3,X2) = X1) & ! [X1 : nat,X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (lG1698(X2,X3,X4,X0,X5) = X1 => iG1707(X2,X5,X0,X4,X3) = iG1708(X1,X5,X0,X4,X3,X2))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1708])])).
% 58.08/9.39 tff(f111176,plain,(
% 58.08/9.39 spl5880_4984),
% 58.08/9.39 inference(avatar_split_clause,[],[f46350,f111174])).
% 58.08/9.39 tff(f111174,plain,(
% 58.08/9.39 spl5880_4984 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1709(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4984])])).
% 58.08/9.39 tff(f46350,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1709(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27376])).
% 58.08/9.39 tff(f27376,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1709(X0,X1,X2,X3,X4,X5) = X0 | lG1698(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1702(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1704(X10,X9,X8,X7,X11)),lG1702(X10,X9,X8,X7,X11))))) = iG1709(X6,X7,X8,X9,X10,X11) | lG1698(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f20672])).
% 58.08/9.39 tff(f20672,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1698(X5,X4,X3,X2,X1) != X0 => iG1709(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1698(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1702(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1704(X10,X9,X8,X7,X11)),lG1702(X10,X9,X8,X7,X11))))) = iG1709(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f20671])).
% 58.08/9.39 tff(f20671,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1698(X5,X4,X3,X2,X1) = X0 => iG1709(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1698(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1702(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X11)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1704(X10,X9,X8,X7,X11)),lG1702(X10,X9,X8,X7,X11))))) = iG1709(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f19979])).
% 58.08/9.39 tff(f19979,plain,(
% 58.08/9.39 ! [X1 : nat,X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (~lG1698(X2,X3,X4,X0,X5) = X1 => iG1709(X1,X5,X0,X4,X3,X2) = X1) & ! [X1 : nat,X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (lG1698(X2,X3,X4,X0,X5) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1702(X3,X4,X0,X5,X2)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1704(X3,X4,X0,X5,X2)),lG1702(X3,X4,X0,X5,X2))))) = iG1709(X1,X5,X0,X4,X3,X2))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1709])])).
% 58.08/9.39 tff(f111172,plain,(
% 58.08/9.39 spl5880_4983),
% 58.08/9.39 inference(avatar_split_clause,[],[f46305,f111170])).
% 58.08/9.39 tff(f111170,plain,(
% 58.08/9.39 spl5880_4983 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1737(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4983])])).
% 58.08/9.39 tff(f46305,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1737(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27359])).
% 58.08/9.39 tff(f27359,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1737(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (iG1736(X11,X7,X8,X9,X10) = iG1737(X6,X7,X8,X9,X10,X11) | lG1727(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f20631])).
% 58.08/9.39 tff(f20631,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1727(X5,X4,X3,X2,X1) != X0 => iG1737(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1727(X11,X10,X9,X8,X7) = X6 => iG1736(X11,X7,X8,X9,X10) = iG1737(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f20630])).
% 58.08/9.39 tff(f20630,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1727(X5,X4,X3,X2,X1) = X0 => iG1737(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1727(X11,X10,X9,X8,X7) = X6 => iG1736(X11,X7,X8,X9,X10) = iG1737(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f20059])).
% 58.08/9.39 tff(f20059,plain,(
% 58.08/9.39 ! [X2 : nat,X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (~lG1727(X3,X4,X5,X0,X1) = X2 => iG1737(X2,X1,X0,X5,X4,X3) = X2) & ! [X2 : nat,X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (lG1727(X3,X4,X5,X0,X1) = X2 => iG1736(X3,X1,X0,X5,X4) = iG1737(X2,X1,X0,X5,X4,X3))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1737])])).
% 58.08/9.39 tff(f111168,plain,(
% 58.08/9.39 spl5880_4982),
% 58.08/9.39 inference(avatar_split_clause,[],[f46303,f111166])).
% 58.08/9.39 tff(f111166,plain,(
% 58.08/9.39 spl5880_4982 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1738(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4982])])).
% 58.08/9.39 tff(f46303,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1738(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27358])).
% 58.08/9.39 tff(f27358,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1738(X0,X1,X2,X3,X4,X5) = X0 | lG1727(X5,X4,X3,X2,X1) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1731(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1733(X10,X9,X8,X7,X11)),lG1731(X10,X9,X8,X7,X11))))) = iG1738(X6,X7,X8,X9,X10,X11) | lG1727(X11,X10,X9,X8,X7) != X6)),
% 58.08/9.39 inference(ennf_transformation,[],[f20629])).
% 58.08/9.39 tff(f20629,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (lG1727(X5,X4,X3,X2,X1) != X0 => iG1738(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1727(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1731(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1733(X10,X9,X8,X7,X11)),lG1731(X10,X9,X8,X7,X11))))) = iG1738(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(flattening,[],[f20628])).
% 58.08/9.39 tff(f20628,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~lG1727(X5,X4,X3,X2,X1) = X0 => iG1738(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (lG1727(X11,X10,X9,X8,X7) = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),lG1731(X10,X9,X8,X7,X11)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1733(X10,X9,X8,X7,X11)),lG1731(X10,X9,X8,X7,X11))))) = iG1738(X6,X7,X8,X9,X10,X11))),
% 58.08/9.39 inference(rectify,[],[f20060])).
% 58.08/9.39 tff(f20060,plain,(
% 58.08/9.39 ! [X2 : nat,X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (~lG1727(X3,X4,X5,X0,X1) = X2 => iG1738(X2,X1,X0,X5,X4,X3) = X2) & ! [X2 : nat,X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (lG1727(X3,X4,X5,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),lG1731(X4,X5,X0,X1,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1733(X4,X5,X0,X1,X3)),lG1731(X4,X5,X0,X1,X3))))) = iG1738(X2,X1,X0,X5,X4,X3))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1738])])).
% 58.08/9.39 tff(f111148,plain,(
% 58.08/9.39 spl5880_4981 | ~spl5880_3186 | ~spl5880_4107),
% 58.08/9.39 inference(avatar_split_clause,[],[f104281,f102889,f96649,f111146])).
% 58.08/9.39 tff(f111146,plain,(
% 58.08/9.39 spl5880_4981 <=> ! [X0 : $tType] : finite_finite(X0,bot_bot(set(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4981])])).
% 58.08/9.39 tff(f102889,plain,(
% 58.08/9.39 spl5880_4107 <=> ! [X0 : $tType] : bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4107])])).
% 58.08/9.39 tff(f104281,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (finite_finite(X0,bot_bot(set(X0)))) ) | (~spl5880_3186 | ~spl5880_4107)),
% 58.08/9.39 inference(superposition,[],[f96650,f102890])).
% 58.08/9.39 tff(f102890,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))) ) | ~spl5880_4107),
% 58.08/9.39 inference(avatar_component_clause,[],[f102889])).
% 58.08/9.39 tff(f111000,plain,(
% 58.08/9.39 ~spl5880_4980 | ~spl5880_4407 | spl5880_4971),
% 58.08/9.39 inference(avatar_split_clause,[],[f110808,f110804,f104786,f110997])).
% 58.08/9.39 tff(f104786,plain,(
% 58.08/9.39 spl5880_4407 <=> iG271 = iG290),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4407])])).
% 58.08/9.39 tff(f110804,plain,(
% 58.08/9.39 spl5880_4971 <=> ring_1_iszero(nat,iG290)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4971])])).
% 58.08/9.39 tff(f110808,plain,(
% 58.08/9.39 ~ring_1_iszero(nat,iG271) | (~spl5880_4407 | spl5880_4971)),
% 58.08/9.39 inference(forward_demodulation,[],[f110806,f104788])).
% 58.08/9.39 tff(f104788,plain,(
% 58.08/9.39 iG271 = iG290 | ~spl5880_4407),
% 58.08/9.39 inference(avatar_component_clause,[],[f104786])).
% 58.08/9.39 tff(f110806,plain,(
% 58.08/9.39 ~ring_1_iszero(nat,iG290) | spl5880_4971),
% 58.08/9.39 inference(avatar_component_clause,[],[f110804])).
% 58.08/9.39 tff(f110995,plain,(
% 58.08/9.39 spl5880_4979 | ~spl5880_1544 | ~spl5880_4929),
% 58.08/9.39 inference(avatar_split_clause,[],[f108993,f108990,f86336,f110993])).
% 58.08/9.39 tff(f110993,plain,(
% 58.08/9.39 spl5880_4979 <=> ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X1) != iG717($true) | nil(X0) = X1)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4979])])).
% 58.08/9.39 tff(f108990,plain,(
% 58.08/9.39 spl5880_4929 <=> ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X1) != iG894($true) | nil(X0) = X1)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4929])])).
% 58.08/9.39 tff(f108993,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X1) != iG717($true) | nil(X0) = X1) ) | (~spl5880_1544 | ~spl5880_4929)),
% 58.08/9.39 inference(forward_demodulation,[],[f108991,f86338])).
% 58.08/9.39 tff(f108991,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X1) != iG894($true) | nil(X0) = X1) ) | ~spl5880_4929),
% 58.08/9.39 inference(avatar_component_clause,[],[f108990])).
% 58.08/9.39 tff(f110846,plain,(
% 58.08/9.39 spl5880_4978 | ~spl5880_1544 | ~spl5880_4915),
% 58.08/9.39 inference(avatar_split_clause,[],[f108905,f108902,f86336,f110844])).
% 58.08/9.39 tff(f110844,plain,(
% 58.08/9.39 spl5880_4978 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4978])])).
% 58.08/9.39 tff(f108902,plain,(
% 58.08/9.39 spl5880_4915 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4915])])).
% 58.08/9.39 tff(f108905,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) ) | (~spl5880_1544 | ~spl5880_4915)),
% 58.08/9.39 inference(forward_demodulation,[],[f108903,f86338])).
% 58.08/9.39 tff(f108903,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) ) | ~spl5880_4915),
% 58.08/9.39 inference(avatar_component_clause,[],[f108902])).
% 58.08/9.39 tff(f110835,plain,(
% 58.08/9.39 spl5880_4977 | ~spl5880_1426 | ~spl5880_4903),
% 58.08/9.39 inference(avatar_split_clause,[],[f108843,f108840,f85691,f110833])).
% 58.08/9.39 tff(f110833,plain,(
% 58.08/9.39 spl5880_4977 <=> ! [X0 : num] : aa(int,nat,nat2,aa(num,int,code_Target_positive,X0)) = iG296(aa(num,code_integer,code_positive,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4977])])).
% 58.08/9.39 tff(f108840,plain,(
% 58.08/9.39 spl5880_4903 <=> ! [X0 : num] : lG696(aa(num,code_integer,code_positive,X0)) = aa(int,nat,nat2,aa(num,int,code_Target_positive,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4903])])).
% 58.08/9.39 tff(f108843,plain,(
% 58.08/9.39 ( ! [X0 : num] : (aa(int,nat,nat2,aa(num,int,code_Target_positive,X0)) = iG296(aa(num,code_integer,code_positive,X0))) ) | (~spl5880_1426 | ~spl5880_4903)),
% 58.08/9.39 inference(forward_demodulation,[],[f108841,f85692])).
% 58.08/9.39 tff(f108841,plain,(
% 58.08/9.39 ( ! [X0 : num] : (lG696(aa(num,code_integer,code_positive,X0)) = aa(int,nat,nat2,aa(num,int,code_Target_positive,X0))) ) | ~spl5880_4903),
% 58.08/9.39 inference(avatar_component_clause,[],[f108840])).
% 58.08/9.39 tff(f110829,plain,(
% 58.08/9.39 spl5880_4976 | ~spl5880_1544 | ~spl5880_4900),
% 58.08/9.39 inference(avatar_split_clause,[],[f108829,f108826,f86336,f110827])).
% 58.08/9.39 tff(f108826,plain,(
% 58.08/9.39 spl5880_4900 <=> ! [X0 : nat] : set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG894($true)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4900])])).
% 58.08/9.39 tff(f108829,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG717($true)))) ) | (~spl5880_1544 | ~spl5880_4900)),
% 58.08/9.39 inference(forward_demodulation,[],[f108827,f86338])).
% 58.08/9.39 tff(f108827,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG894($true)))) ) | ~spl5880_4900),
% 58.08/9.39 inference(avatar_component_clause,[],[f108826])).
% 58.08/9.39 tff(f110825,plain,(
% 58.08/9.39 spl5880_4975 | ~spl5880_1544 | ~spl5880_4899),
% 58.08/9.39 inference(avatar_split_clause,[],[f108824,f108821,f86336,f110823])).
% 58.08/9.39 tff(f110823,plain,(
% 58.08/9.39 spl5880_4975 <=> ! [X0 : nat] : iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),iG717($true)),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4975])])).
% 58.08/9.39 tff(f108821,plain,(
% 58.08/9.39 spl5880_4899 <=> ! [X0 : nat] : iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),iG894($true)),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4899])])).
% 58.08/9.39 tff(f108824,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),iG717($true)),X0)) ) | (~spl5880_1544 | ~spl5880_4899)),
% 58.08/9.39 inference(forward_demodulation,[],[f108822,f86338])).
% 58.08/9.39 tff(f108822,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),iG894($true)),X0)) ) | ~spl5880_4899),
% 58.08/9.39 inference(avatar_component_clause,[],[f108821])).
% 58.08/9.39 tff(f110821,plain,(
% 58.08/9.39 spl5880_4974 | ~spl5880_1544 | ~spl5880_4898),
% 58.08/9.39 inference(avatar_split_clause,[],[f108819,f108816,f86336,f110819])).
% 58.08/9.39 tff(f110819,plain,(
% 58.08/9.39 spl5880_4974 <=> ! [X0 : nat] : iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG717($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4974])])).
% 58.08/9.39 tff(f108816,plain,(
% 58.08/9.39 spl5880_4898 <=> ! [X0 : nat] : iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG894($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4898])])).
% 58.08/9.39 tff(f108819,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG717($true))) ) | (~spl5880_1544 | ~spl5880_4898)),
% 58.08/9.39 inference(forward_demodulation,[],[f108817,f86338])).
% 58.08/9.39 tff(f108817,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG894($true))) ) | ~spl5880_4898),
% 58.08/9.39 inference(avatar_component_clause,[],[f108816])).
% 58.08/9.39 tff(f110816,plain,(
% 58.08/9.39 spl5880_4973 | ~spl5880_1544 | ~spl5880_4894),
% 58.08/9.39 inference(avatar_split_clause,[],[f108798,f108795,f86336,f110814])).
% 58.08/9.39 tff(f110814,plain,(
% 58.08/9.39 spl5880_4973 <=> ! [X2 : nat] : iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),iG717($true)),X2)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4973])])).
% 58.08/9.39 tff(f108795,plain,(
% 58.08/9.39 spl5880_4894 <=> ! [X2 : nat] : iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),iG894($true)),X2)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4894])])).
% 58.08/9.39 tff(f108798,plain,(
% 58.08/9.39 ( ! [X2 : nat] : (iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),iG717($true)),X2)) ) | (~spl5880_1544 | ~spl5880_4894)),
% 58.08/9.39 inference(forward_demodulation,[],[f108796,f86338])).
% 58.08/9.39 tff(f108796,plain,(
% 58.08/9.39 ( ! [X2 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),iG894($true)),X2)) ) | ~spl5880_4894),
% 58.08/9.39 inference(avatar_component_clause,[],[f108795])).
% 58.08/9.39 tff(f110812,plain,(
% 58.08/9.39 spl5880_4972 | ~spl5880_1544 | ~spl5880_4893),
% 58.08/9.39 inference(avatar_split_clause,[],[f108793,f108790,f86336,f110810])).
% 58.08/9.39 tff(f110810,plain,(
% 58.08/9.39 spl5880_4972 <=> ! [X3 : nat] : iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),iG717($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4972])])).
% 58.08/9.39 tff(f108790,plain,(
% 58.08/9.39 spl5880_4893 <=> ! [X3 : nat] : iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),iG894($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4893])])).
% 58.08/9.39 tff(f108793,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),iG717($true))) ) | (~spl5880_1544 | ~spl5880_4893)),
% 58.08/9.39 inference(forward_demodulation,[],[f108791,f86338])).
% 58.08/9.39 tff(f108791,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),iG894($true))) ) | ~spl5880_4893),
% 58.08/9.39 inference(avatar_component_clause,[],[f108790])).
% 58.08/9.39 tff(f110807,plain,(
% 58.08/9.39 ~spl5880_4970 | ~spl5880_4971 | ~spl5880_1560 | ~spl5880_2328),
% 58.08/9.39 inference(avatar_split_clause,[],[f100570,f90287,f86429,f110804,f110800])).
% 58.08/9.39 tff(f110800,plain,(
% 58.08/9.39 spl5880_4970 <=> ring_1(nat)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4970])])).
% 58.08/9.39 tff(f86429,plain,(
% 58.08/9.39 spl5880_1560 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_1560])])).
% 58.08/9.39 tff(f90287,plain,(
% 58.08/9.39 spl5880_2328 <=> one_one(nat) = iG290),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_2328])])).
% 58.08/9.39 tff(f100570,plain,(
% 58.08/9.39 ~ring_1_iszero(nat,iG290) | ~ring_1(nat) | (~spl5880_1560 | ~spl5880_2328)),
% 58.08/9.39 inference(superposition,[],[f86430,f90289])).
% 58.08/9.39 tff(f90289,plain,(
% 58.08/9.39 one_one(nat) = iG290 | ~spl5880_2328),
% 58.08/9.39 inference(avatar_component_clause,[],[f90287])).
% 58.08/9.39 tff(f86430,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0)) ) | ~spl5880_1560),
% 58.08/9.39 inference(avatar_component_clause,[],[f86429])).
% 58.08/9.39 tff(f110798,plain,(
% 58.08/9.39 spl5880_4969 | ~spl5880_1544 | ~spl5880_4892),
% 58.08/9.39 inference(avatar_split_clause,[],[f108788,f108785,f86336,f110796])).
% 58.08/9.39 tff(f110796,plain,(
% 58.08/9.39 spl5880_4969 <=> ! [X3 : nat] : iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG717($true)),X3)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4969])])).
% 58.08/9.39 tff(f108785,plain,(
% 58.08/9.39 spl5880_4892 <=> ! [X3 : nat] : iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG894($true)),X3)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4892])])).
% 58.08/9.39 tff(f108788,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG717($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG717($true)),X3)) ) | (~spl5880_1544 | ~spl5880_4892)),
% 58.08/9.39 inference(forward_demodulation,[],[f108786,f86338])).
% 58.08/9.39 tff(f108786,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG894($true)),X3)) ) | ~spl5880_4892),
% 58.08/9.39 inference(avatar_component_clause,[],[f108785])).
% 58.08/9.39 tff(f110794,plain,(
% 58.08/9.39 spl5880_4968 | ~spl5880_2573 | ~spl5880_4890),
% 58.08/9.39 inference(avatar_split_clause,[],[f108777,f108774,f93028,f110792])).
% 58.08/9.39 tff(f110792,plain,(
% 58.08/9.39 spl5880_4968 <=> ! [X5 : nat,X9 : nat,X7 : list(vEBT_VEBT),X6 : vEBT_VEBT,X8 : nat] : (none(nat) != lG1839(lG1811(X6,X5)) | iG1828(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4968])])).
% 58.08/9.39 tff(f108774,plain,(
% 58.08/9.39 spl5880_4890 <=> ! [X5 : nat,X9 : nat,X7 : list(vEBT_VEBT),X6 : vEBT_VEBT,X8 : nat] : (none(nat) != lG1839(lG1826(X6,X5)) | iG1828(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4890])])).
% 58.08/9.39 tff(f108777,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1811(X6,X5)) | iG1828(X5,X6,X7,X8,X9) = X9) ) | (~spl5880_2573 | ~spl5880_4890)),
% 58.08/9.39 inference(forward_demodulation,[],[f108775,f93029])).
% 58.08/9.39 tff(f108775,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1826(X6,X5)) | iG1828(X5,X6,X7,X8,X9) = X9) ) | ~spl5880_4890),
% 58.08/9.39 inference(avatar_component_clause,[],[f108774])).
% 58.08/9.39 tff(f110790,plain,(
% 58.08/9.39 spl5880_4967 | ~spl5880_2326 | ~spl5880_4889),
% 58.08/9.39 inference(avatar_split_clause,[],[f108772,f108769,f90279,f110788])).
% 58.08/9.39 tff(f110788,plain,(
% 58.08/9.39 spl5880_4967 <=> ! [X5 : nat,X9 : nat,X7 : list(vEBT_VEBT),X6 : vEBT_VEBT,X8 : nat] : (none(nat) != lG1839(lG1811(X6,X5)) | iG1834(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4967])])).
% 58.08/9.39 tff(f90279,plain,(
% 58.08/9.39 spl5880_2326 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1832(X0,X1) = lG1811(X0,X1)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_2326])])).
% 58.08/9.39 tff(f108769,plain,(
% 58.08/9.39 spl5880_4889 <=> ! [X5 : nat,X9 : nat,X7 : list(vEBT_VEBT),X6 : vEBT_VEBT,X8 : nat] : (none(nat) != lG1839(lG1832(X6,X5)) | iG1834(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4889])])).
% 58.08/9.39 tff(f108772,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1811(X6,X5)) | iG1834(X5,X6,X7,X8,X9) = X9) ) | (~spl5880_2326 | ~spl5880_4889)),
% 58.08/9.39 inference(forward_demodulation,[],[f108770,f90280])).
% 58.08/9.39 tff(f90280,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1811(X0,X1)) ) | ~spl5880_2326),
% 58.08/9.39 inference(avatar_component_clause,[],[f90279])).
% 58.08/9.39 tff(f108770,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1832(X6,X5)) | iG1834(X5,X6,X7,X8,X9) = X9) ) | ~spl5880_4889),
% 58.08/9.39 inference(avatar_component_clause,[],[f108769])).
% 58.08/9.39 tff(f110766,plain,(
% 58.08/9.39 spl5880_4966 | ~spl5880_3018 | ~spl5880_3668),
% 58.08/9.39 inference(avatar_split_clause,[],[f100300,f99583,f95288,f110764])).
% 58.08/9.39 tff(f110764,plain,(
% 58.08/9.39 spl5880_4966 <=> ! [X0 : nat] : ~sP2371(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4966])])).
% 58.08/9.39 tff(f95288,plain,(
% 58.08/9.39 spl5880_3018 <=> ! [X0 : nat] : ($true = aa(nat,$o,aTP_Lamp_mb(nat,$o),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3018])])).
% 58.08/9.39 tff(f99583,plain,(
% 58.08/9.39 spl5880_3668 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5154(X0,X1))) | ~sP2371(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3668])])).
% 58.08/9.39 tff(f100300,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~sP2371(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3668)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100295])).
% 58.08/9.39 tff(f100295,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | ~sP2371(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3668)),
% 58.08/9.39 inference(superposition,[],[f99584,f95289])).
% 58.08/9.39 tff(f95289,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = aa(nat,$o,aTP_Lamp_mb(nat,$o),X0))) ) | ~spl5880_3018),
% 58.08/9.39 inference(avatar_component_clause,[],[f95288])).
% 58.08/9.39 tff(f99584,plain,(
% 58.08/9.39 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5154(X0,X1))) | ~sP2371(X0,X1)) ) | ~spl5880_3668),
% 58.08/9.39 inference(avatar_component_clause,[],[f99583])).
% 58.08/9.39 tff(f110746,plain,(
% 58.08/9.39 spl5880_4965 | ~spl5880_2699 | ~spl5880_4876),
% 58.08/9.39 inference(avatar_split_clause,[],[f108719,f108716,f93594,f110744])).
% 58.08/9.39 tff(f110744,plain,(
% 58.08/9.39 spl5880_4965 <=> ! [X0 : int,X1 : int] : set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),iG1449(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4965])])).
% 58.08/9.39 tff(f93594,plain,(
% 58.08/9.39 spl5880_2699 <=> ! [X0 : int,X1 : int] : iG636(X1,X0) = iG1449(X1,X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_2699])])).
% 58.08/9.39 tff(f108716,plain,(
% 58.08/9.39 spl5880_4876 <=> ! [X0 : int,X1 : int] : set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),iG636(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4876])])).
% 58.08/9.39 tff(f108719,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),iG1449(X1,X0))) ) | (~spl5880_2699 | ~spl5880_4876)),
% 58.08/9.39 inference(forward_demodulation,[],[f108717,f93595])).
% 58.08/9.39 tff(f93595,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (iG636(X1,X0) = iG1449(X1,X0)) ) | ~spl5880_2699),
% 58.08/9.39 inference(avatar_component_clause,[],[f93594])).
% 58.08/9.39 tff(f108717,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),iG636(X1,X0))) ) | ~spl5880_4876),
% 58.08/9.39 inference(avatar_component_clause,[],[f108716])).
% 58.08/9.39 tff(f110723,plain,(
% 58.08/9.39 spl5880_4964 | ~spl5880_1443 | ~spl5880_4872),
% 58.08/9.39 inference(avatar_split_clause,[],[f108701,f108698,f85782,f110721])).
% 58.08/9.39 tff(f110721,plain,(
% 58.08/9.39 spl5880_4964 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1032(X0,X1,X2) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X2),bG1027(X1)),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4964])])).
% 58.08/9.39 tff(f108698,plain,(
% 58.08/9.39 spl5880_4872 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1032(X0,X1,X2) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X2),bG1027(X1)),X0) | zero_zero(nat) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4872])])).
% 58.08/9.39 tff(f108701,plain,(
% 58.08/9.39 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1032(X0,X1,X2) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X2),bG1027(X1)),X0)) ) | (~spl5880_1443 | ~spl5880_4872)),
% 58.08/9.39 inference(forward_demodulation,[],[f108699,f85784])).
% 58.08/9.39 tff(f108699,plain,(
% 58.08/9.39 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1032(X0,X1,X2) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X2),bG1027(X1)),X0) | zero_zero(nat) = X0) ) | ~spl5880_4872),
% 58.08/9.39 inference(avatar_component_clause,[],[f108698])).
% 58.08/9.39 tff(f110719,plain,(
% 58.08/9.39 spl5880_4963 | ~spl5880_3027 | ~spl5880_3668),
% 58.08/9.39 inference(avatar_split_clause,[],[f100299,f99583,f95324,f110717])).
% 58.08/9.39 tff(f110717,plain,(
% 58.08/9.39 spl5880_4963 <=> ! [X0 : nat] : ~sP2371(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4963])])).
% 58.08/9.39 tff(f95324,plain,(
% 58.08/9.39 spl5880_3027 <=> ! [X0 : $tType,X1 : X0] : ($true = aa(X0,$o,aTP_Lamp_abs(X0,$o),X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3027])])).
% 58.08/9.39 tff(f100299,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~sP2371(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3668)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100296])).
% 58.08/9.39 tff(f100296,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | ~sP2371(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3668)),
% 58.08/9.39 inference(superposition,[],[f99584,f95325])).
% 58.08/9.39 tff(f95325,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_abs(X0,$o),X1))) ) | ~spl5880_3027),
% 58.08/9.39 inference(avatar_component_clause,[],[f95324])).
% 58.08/9.39 tff(f110642,plain,(
% 58.08/9.39 spl5880_4962 | ~spl5880_3018 | ~spl5880_3666),
% 58.08/9.39 inference(avatar_split_clause,[],[f100294,f99575,f95288,f110640])).
% 58.08/9.39 tff(f110640,plain,(
% 58.08/9.39 spl5880_4962 <=> ! [X0 : nat] : ~sP2360(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4962])])).
% 58.08/9.39 tff(f99575,plain,(
% 58.08/9.39 spl5880_3666 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5061(X0,X1))) | ~sP2360(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3666])])).
% 58.08/9.39 tff(f100294,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~sP2360(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3666)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100289])).
% 58.08/9.39 tff(f100289,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | ~sP2360(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3666)),
% 58.08/9.39 inference(superposition,[],[f99576,f95289])).
% 58.08/9.39 tff(f99576,plain,(
% 58.08/9.39 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5061(X0,X1))) | ~sP2360(X0,X1)) ) | ~spl5880_3666),
% 58.08/9.39 inference(avatar_component_clause,[],[f99575])).
% 58.08/9.39 tff(f110582,plain,(
% 58.08/9.39 spl5880_4961 | ~spl5880_3027 | ~spl5880_3666),
% 58.08/9.39 inference(avatar_split_clause,[],[f100293,f99575,f95324,f110580])).
% 58.08/9.39 tff(f110580,plain,(
% 58.08/9.39 spl5880_4961 <=> ! [X0 : nat] : ~sP2360(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4961])])).
% 58.08/9.39 tff(f100293,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (~sP2360(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3666)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100290])).
% 58.08/9.39 tff(f100290,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | ~sP2360(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3666)),
% 58.08/9.39 inference(superposition,[],[f99576,f95325])).
% 58.08/9.39 tff(f110578,plain,(
% 58.08/9.39 spl5880_4960 | ~spl5880_3018 | ~spl5880_3644),
% 58.08/9.39 inference(avatar_split_clause,[],[f100280,f99487,f95288,f110576])).
% 58.08/9.39 tff(f110576,plain,(
% 58.08/9.39 spl5880_4960 <=> ! [X0 : nat] : sP2118(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4960])])).
% 58.08/9.39 tff(f99487,plain,(
% 58.08/9.39 spl5880_3644 <=> ! [X0 : fun(nat,$o),X1 : nat] : (sP2118(X0,X1) | ($true != aa(nat,$o,X0,sK4205(X0,X1))))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3644])])).
% 58.08/9.39 tff(f100280,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2118(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3644)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100275])).
% 58.08/9.39 tff(f100275,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2118(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3644)),
% 58.08/9.39 inference(superposition,[],[f99488,f95289])).
% 58.08/9.39 tff(f99488,plain,(
% 58.08/9.39 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK4205(X0,X1))) | sP2118(X0,X1)) ) | ~spl5880_3644),
% 58.08/9.39 inference(avatar_component_clause,[],[f99487])).
% 58.08/9.39 tff(f110574,plain,(
% 58.08/9.39 spl5880_4959 | ~spl5880_3027 | ~spl5880_3644),
% 58.08/9.39 inference(avatar_split_clause,[],[f100279,f99487,f95324,f110572])).
% 58.08/9.39 tff(f110572,plain,(
% 58.08/9.39 spl5880_4959 <=> ! [X0 : nat] : sP2118(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4959])])).
% 58.08/9.39 tff(f100279,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2118(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3644)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100276])).
% 58.08/9.39 tff(f100276,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2118(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3644)),
% 58.08/9.39 inference(superposition,[],[f99488,f95325])).
% 58.08/9.39 tff(f110570,plain,(
% 58.08/9.39 spl5880_4958 | ~spl5880_3018 | ~spl5880_3643),
% 58.08/9.39 inference(avatar_split_clause,[],[f100270,f99483,f95288,f110568])).
% 58.08/9.39 tff(f110568,plain,(
% 58.08/9.39 spl5880_4958 <=> ! [X0 : nat] : sP2117(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4958])])).
% 58.08/9.39 tff(f99483,plain,(
% 58.08/9.39 spl5880_3643 <=> ! [X0 : fun(nat,$o),X1 : nat] : (sP2117(X0,X1) | ($true != aa(nat,$o,X0,sK4203(X0,X1))))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3643])])).
% 58.08/9.39 tff(f100270,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2117(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3643)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100265])).
% 58.08/9.39 tff(f100265,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2117(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3643)),
% 58.08/9.39 inference(superposition,[],[f99484,f95289])).
% 58.08/9.39 tff(f99484,plain,(
% 58.08/9.39 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK4203(X0,X1))) | sP2117(X0,X1)) ) | ~spl5880_3643),
% 58.08/9.39 inference(avatar_component_clause,[],[f99483])).
% 58.08/9.39 tff(f110469,plain,(
% 58.08/9.39 spl5880_4957 | ~spl5880_3027 | ~spl5880_3643),
% 58.08/9.39 inference(avatar_split_clause,[],[f100269,f99483,f95324,f110467])).
% 58.08/9.39 tff(f110467,plain,(
% 58.08/9.39 spl5880_4957 <=> ! [X0 : nat] : sP2117(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4957])])).
% 58.08/9.39 tff(f100269,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2117(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3643)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f100266])).
% 58.08/9.39 tff(f100266,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2117(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3643)),
% 58.08/9.39 inference(superposition,[],[f99484,f95325])).
% 58.08/9.39 tff(f110445,plain,(
% 58.08/9.39 spl5880_4956 | ~spl5880_3018 | ~spl5880_3561),
% 58.08/9.39 inference(avatar_split_clause,[],[f99169,f98979,f95288,f110443])).
% 58.08/9.39 tff(f110443,plain,(
% 58.08/9.39 spl5880_4956 <=> ! [X0 : nat] : sP2120(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4956])])).
% 58.08/9.39 tff(f98979,plain,(
% 58.08/9.39 spl5880_3561 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG717($true))) | sP2120(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3561])])).
% 58.08/9.39 tff(f99169,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2120(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3561)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f99162])).
% 58.08/9.39 tff(f99162,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2120(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3561)),
% 58.08/9.39 inference(superposition,[],[f98980,f95289])).
% 58.08/9.39 tff(f98980,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG717($true))) | sP2120(X1,X0)) ) | ~spl5880_3561),
% 58.08/9.39 inference(avatar_component_clause,[],[f98979])).
% 58.08/9.39 tff(f110337,plain,(
% 58.08/9.39 spl5880_4955 | ~spl5880_592 | ~spl5880_3004 | ~spl5880_4779),
% 58.08/9.39 inference(avatar_split_clause,[],[f108309,f108306,f95232,f81403,f110335])).
% 58.08/9.39 tff(f110335,plain,(
% 58.08/9.39 spl5880_4955 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),iG513(nat,X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4955])])).
% 58.08/9.39 tff(f108306,plain,(
% 58.08/9.39 spl5880_4779 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),semiring_char_0_fact(nat,X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4779])])).
% 58.08/9.39 tff(f108309,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),iG513(nat,X0)))) ) | (~spl5880_592 | ~spl5880_3004 | ~spl5880_4779)),
% 58.08/9.39 inference(forward_demodulation,[],[f108307,f96192])).
% 58.08/9.39 tff(f108307,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),semiring_char_0_fact(nat,X0)))) ) | ~spl5880_4779),
% 58.08/9.39 inference(avatar_component_clause,[],[f108306])).
% 58.08/9.39 tff(f110331,plain,(
% 58.08/9.39 spl5880_4954 | ~spl5880_3027 | ~spl5880_3561),
% 58.08/9.39 inference(avatar_split_clause,[],[f99168,f98979,f95324,f110329])).
% 58.08/9.39 tff(f110329,plain,(
% 58.08/9.39 spl5880_4954 <=> ! [X0 : nat] : sP2120(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4954])])).
% 58.08/9.39 tff(f99168,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2120(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3561)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f99163])).
% 58.08/9.39 tff(f99163,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2120(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3561)),
% 58.08/9.39 inference(superposition,[],[f98980,f95325])).
% 58.08/9.39 tff(f110253,plain,(
% 58.08/9.39 spl5880_4953 | ~spl5880_637 | ~spl5880_2364 | ~spl5880_3482 | ~spl5880_3493),
% 58.08/9.39 inference(avatar_split_clause,[],[f98938,f98259,f98199,f90473,f81628,f110251])).
% 58.08/9.39 tff(f110251,plain,(
% 58.08/9.39 spl5880_4953 <=> ! [X0 : nat] : iG983(iG546(int,X0),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4953])])).
% 58.08/9.39 tff(f98259,plain,(
% 58.08/9.39 spl5880_3493 <=> ! [X0 : nat] : aa(int,nat,nat2,iG577(int,one_one(int),X0)) = X0),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3493])])).
% 58.08/9.39 tff(f98938,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG983(iG546(int,X0),X0)) ) | (~spl5880_637 | ~spl5880_2364 | ~spl5880_3482 | ~spl5880_3493)),
% 58.08/9.39 inference(forward_demodulation,[],[f98934,f98888])).
% 58.08/9.39 tff(f98888,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG577(int,one_one(int),X0) = iG546(int,X0)) ) | (~spl5880_637 | ~spl5880_3482)),
% 58.08/9.39 inference(resolution,[],[f98200,f81630])).
% 58.08/9.39 tff(f98934,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG983(iG577(int,one_one(int),X0),X0)) ) | (~spl5880_2364 | ~spl5880_3493)),
% 58.08/9.39 inference(superposition,[],[f90474,f98260])).
% 58.08/9.39 tff(f98260,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(int,nat,nat2,iG577(int,one_one(int),X0)) = X0) ) | ~spl5880_3493),
% 58.08/9.39 inference(avatar_component_clause,[],[f98259])).
% 58.08/9.39 tff(f110127,plain,(
% 58.08/9.39 spl5880_4952 | ~spl5880_637 | ~spl5880_2365 | ~spl5880_3482 | ~spl5880_3493),
% 58.08/9.39 inference(avatar_split_clause,[],[f98937,f98259,f98199,f90477,f81628,f110125])).
% 58.08/9.39 tff(f110125,plain,(
% 58.08/9.39 spl5880_4952 <=> ! [X0 : nat] : iG984(iG546(int,X0),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4952])])).
% 58.08/9.39 tff(f98937,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG984(iG546(int,X0),X0)) ) | (~spl5880_637 | ~spl5880_2365 | ~spl5880_3482 | ~spl5880_3493)),
% 58.08/9.39 inference(forward_demodulation,[],[f98933,f98888])).
% 58.08/9.39 tff(f98933,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG984(iG577(int,one_one(int),X0),X0)) ) | (~spl5880_2365 | ~spl5880_3493)),
% 58.08/9.39 inference(superposition,[],[f90478,f98260])).
% 58.08/9.39 tff(f109923,plain,(
% 58.08/9.39 spl5880_4951 | ~spl5880_3018 | ~spl5880_3212),
% 58.08/9.39 inference(avatar_split_clause,[],[f97275,f96753,f95288,f109921])).
% 58.08/9.39 tff(f109921,plain,(
% 58.08/9.39 spl5880_4951 <=> ! [X0 : nat] : sP2119(aTP_Lamp_mb(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4951])])).
% 58.08/9.39 tff(f96753,plain,(
% 58.08/9.39 spl5880_3212 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (sP2119(X1,X0) | ($true != aa(nat,$o,X1,X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3212])])).
% 58.08/9.39 tff(f97275,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2119(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3212)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f97270])).
% 58.08/9.39 tff(f97270,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2119(aTP_Lamp_mb(nat,$o),X0)) ) | (~spl5880_3018 | ~spl5880_3212)),
% 58.08/9.39 inference(superposition,[],[f96754,f95289])).
% 58.08/9.39 tff(f96754,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,X0)) | sP2119(X1,X0)) ) | ~spl5880_3212),
% 58.08/9.39 inference(avatar_component_clause,[],[f96753])).
% 58.08/9.39 tff(f109867,plain,(
% 58.08/9.39 spl5880_4950 | ~spl5880_3027 | ~spl5880_3212),
% 58.08/9.39 inference(avatar_split_clause,[],[f97274,f96753,f95324,f109865])).
% 58.08/9.39 tff(f109865,plain,(
% 58.08/9.39 spl5880_4950 <=> ! [X0 : nat] : sP2119(aTP_Lamp_abs(nat,$o),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4950])])).
% 58.08/9.39 tff(f97274,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (sP2119(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3212)),
% 58.08/9.39 inference(trivial_inequality_removal,[],[f97271])).
% 58.08/9.39 tff(f97271,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true != $true) | sP2119(aTP_Lamp_abs(nat,$o),X0)) ) | (~spl5880_3027 | ~spl5880_3212)),
% 58.08/9.39 inference(superposition,[],[f96754,f95325])).
% 58.08/9.39 tff(f109116,plain,(
% 58.08/9.39 ~spl5880_4949 | ~spl5880_4145 | spl5880_4943),
% 58.08/9.39 inference(avatar_split_clause,[],[f109076,f109072,f103044,f109113])).
% 58.08/9.39 tff(f109113,plain,(
% 58.08/9.39 spl5880_4949 <=> iG271 = iG717($true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4949])])).
% 58.08/9.39 tff(f109072,plain,(
% 58.08/9.39 spl5880_4943 <=> iG717($true) = iG714($true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4943])])).
% 58.08/9.39 tff(f109076,plain,(
% 58.08/9.39 iG271 != iG717($true) | (~spl5880_4145 | spl5880_4943)),
% 58.08/9.39 inference(forward_demodulation,[],[f109074,f103045])).
% 58.08/9.39 tff(f109074,plain,(
% 58.08/9.39 iG717($true) != iG714($true) | spl5880_4943),
% 58.08/9.39 inference(avatar_component_clause,[],[f109072])).
% 58.08/9.39 tff(f109098,plain,(
% 58.08/9.39 spl5880_4948),
% 58.08/9.39 inference(avatar_split_clause,[],[f78435,f109095])).
% 58.08/9.39 tff(f109095,plain,(
% 58.08/9.39 spl5880_4948 <=> ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),iG303(imaginary_unit)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4948])])).
% 58.08/9.39 tff(f78435,plain,(
% 58.08/9.39 ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),iG303(imaginary_unit)))),
% 58.08/9.39 inference(forward_demodulation,[],[f64840,f65754])).
% 58.08/9.39 tff(f64840,plain,(
% 58.08/9.39 (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = $true)),
% 58.08/9.39 inference(cnf_transformation,[],[f20459])).
% 58.08/9.39 tff(f20459,plain,(
% 58.08/9.39 (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = $true)),
% 58.08/9.39 inference(fool_elimination,[],[f20458])).
% 58.08/9.39 tff(f20458,plain,(
% 58.08/9.39 aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.08/9.39 inference(rectify,[],[f3460])).
% 58.08/9.39 tff(f3460,axiom,(
% 58.08/9.39 aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3459_pi__half__ge__zero)).
% 58.08/9.39 tff(f109093,plain,(
% 58.08/9.39 spl5880_4947),
% 58.08/9.39 inference(avatar_split_clause,[],[f78434,f109090])).
% 58.08/9.39 tff(f109090,plain,(
% 58.08/9.39 spl5880_4947 <=> ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),iG303(imaginary_unit)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4947])])).
% 58.08/9.39 tff(f78434,plain,(
% 58.08/9.39 ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),iG303(imaginary_unit)))),
% 58.08/9.39 inference(forward_demodulation,[],[f64839,f65754])).
% 58.08/9.39 tff(f64839,plain,(
% 58.08/9.39 (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = $true)),
% 58.08/9.39 inference(cnf_transformation,[],[f20457])).
% 58.08/9.39 tff(f20457,plain,(
% 58.08/9.39 (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = $true)),
% 58.08/9.39 inference(fool_elimination,[],[f20456])).
% 58.08/9.39 tff(f20456,plain,(
% 58.08/9.39 aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.08/9.39 inference(rectify,[],[f3459])).
% 58.08/9.39 tff(f3459,axiom,(
% 58.08/9.39 aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3458_pi__half__gt__zero)).
% 58.08/9.39 tff(f109088,plain,(
% 58.08/9.39 spl5880_4946),
% 58.08/9.39 inference(avatar_split_clause,[],[f75779,f109086])).
% 58.08/9.39 tff(f109086,plain,(
% 58.08/9.39 spl5880_4946 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4918(X0,X1)),one2) = X0 | ~sP2311(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4946])])).
% 58.08/9.39 tff(f75779,plain,(
% 58.08/9.39 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4918(X0,X1)),one2) = X0 | ~sP2311(X0,X1,X2)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f61243,f50374])).
% 58.08/9.39 tff(f61243,plain,(
% 58.08/9.39 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4918(X0,X1))) = X0 | ~sP2311(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43799])).
% 58.08/9.39 tff(f43799,plain,(
% 58.08/9.39 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4918(X0,X1))))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4918(X0,X1))) = X0 & aa(num,num,bit1,sK4918(X0,X1)) = X1) & one2 = X2) | ~sP2311(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4918])],[f43797,f43798])).
% 58.08/9.39 tff(f43798,plain,(
% 58.08/9.39 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4918(X0,X1))))) & aa(num,option(num),some(num),aa(num,num,bit0,sK4918(X0,X1))) = X0 & aa(num,num,bit1,sK4918(X0,X1)) = X1))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43797,plain,(
% 58.08/9.39 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP2311(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f43796])).
% 58.08/9.39 tff(f43796,plain,(
% 58.08/9.39 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),aa(num,num,bit0,X4)) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2311(X2,X1,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37626])).
% 58.08/9.39 tff(f37626,plain,(
% 58.08/9.39 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2311(X2,X1,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2311])])).
% 58.08/9.39 tff(f109084,plain,(
% 58.08/9.39 spl5880_4945),
% 58.08/9.39 inference(avatar_split_clause,[],[f75767,f109082])).
% 58.08/9.39 tff(f109082,plain,(
% 58.08/9.39 spl5880_4945 <=> ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4894(X0,X1)),one2) = X0 | ~sP2295(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4945])])).
% 58.08/9.39 tff(f75767,plain,(
% 58.08/9.39 ( ! [X2 : num,X0 : option(num),X1 : num] : (bit_and_not_num(aa(num,num,bit0,sK4894(X0,X1)),one2) = X0 | ~sP2295(X0,X1,X2)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f61184,f50374])).
% 58.08/9.39 tff(f61184,plain,(
% 58.08/9.39 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,sK4894(X0,X1))) = X0 | ~sP2295(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43725])).
% 58.08/9.39 tff(f43725,plain,(
% 58.08/9.39 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),aa(num,num,bit0,sK4894(X0,X1))) = X0 & aa(num,num,bit1,sK4894(X0,X1)) = X1) & one2 = X2) | ~sP2295(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4894])],[f43723,f43724])).
% 58.08/9.39 tff(f43724,plain,(
% 58.08/9.39 ! [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,sK4894(X0,X1))) = X0 & aa(num,num,bit1,sK4894(X0,X1)) = X1))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43723,plain,(
% 58.08/9.39 ! [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) | ~sP2295(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f43722])).
% 58.08/9.39 tff(f43722,plain,(
% 58.08/9.39 ! [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) | ~sP2295(X2,X1,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37608])).
% 58.08/9.39 tff(f37608,plain,(
% 58.08/9.39 ! [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) | ~sP2295(X2,X1,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2295])])).
% 58.08/9.39 tff(f109080,plain,(
% 58.08/9.39 spl5880_4944),
% 58.08/9.39 inference(avatar_split_clause,[],[f75219,f109078])).
% 58.08/9.39 tff(f109078,plain,(
% 58.08/9.39 spl5880_4944 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),X2) = X2 | ~member(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4944])])).
% 58.08/9.39 tff(f75219,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),X2) = X2 | ~member(X0,X1,X2)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f75218,f74981])).
% 58.08/9.39 tff(f74981,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),X2) = aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),remove(X0),X1),X2))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f60171,f60170])).
% 58.08/9.39 tff(f60170,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) = aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),remove(X0),X1),X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f26403])).
% 58.08/9.39 tff(f26403,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : set(X0)] : aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) = aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),remove(X0),X1),X2)),
% 58.08/9.39 inference(rectify,[],[f7670])).
% 58.08/9.39 tff(f7670,axiom,(
% 58.08/9.39 ! [X0 : $tType,X9 : X0,X27 : set(X0)] : aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0)))) = aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),remove(X0),X9),X27)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7669_remove__def)).
% 58.08/9.39 tff(f60171,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),X2) = aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f26404])).
% 58.08/9.39 tff(f26404,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : set(X0)] : aa(set(X0),set(X0),insert(X0,X1),X2) = aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))),
% 58.08/9.39 inference(rectify,[],[f980])).
% 58.08/9.39 tff(f980,axiom,(
% 58.08/9.39 ! [X0 : $tType,X11 : X0,X27 : set(X0)] : aa(set(X0),set(X0),insert(X0,X11),X27) = aa(set(X0),set(X0),insert(X0,X11),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X11),bot_bot(set(X0)))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_979_insert__Diff__single)).
% 58.08/9.39 tff(f75218,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),remove(X0),X1),X2)) = X2 | ~member(X0,X1,X2)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f60526,f60170])).
% 58.08/9.39 tff(f60526,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) = X2 | ~member(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f35144])).
% 58.08/9.39 tff(f35144,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) = X2 | ~member(X0,X1,X2))),
% 58.08/9.39 inference(ennf_transformation,[],[f26549])).
% 58.08/9.39 tff(f26549,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (member(X0,X1,X2) => aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) = X2)),
% 58.08/9.39 inference(rectify,[],[f1042])).
% 58.08/9.39 tff(f1042,axiom,(
% 58.08/9.39 ! [X0 : $tType,X11 : X0,X27 : set(X0)] : (member(X0,X11,X27) => aa(set(X0),set(X0),insert(X0,X11),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X11),bot_bot(set(X0))))) = X27)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1041_insert__Diff)).
% 58.08/9.39 tff(f109075,plain,(
% 58.08/9.39 ~spl5880_4943 | ~spl5880_2835 | ~spl5880_3127),
% 58.08/9.39 inference(avatar_split_clause,[],[f96414,f96319,f94449,f109072])).
% 58.08/9.39 tff(f94449,plain,(
% 58.08/9.39 spl5880_2835 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) != iG717($true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_2835])])).
% 58.08/9.39 tff(f96319,plain,(
% 58.08/9.39 spl5880_3127 <=> iG714($true) = aa(nat,nat,suc,iG717($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3127])])).
% 58.08/9.39 tff(f96414,plain,(
% 58.08/9.39 iG717($true) != iG714($true) | (~spl5880_2835 | ~spl5880_3127)),
% 58.08/9.39 inference(superposition,[],[f94450,f96321])).
% 58.08/9.39 tff(f96321,plain,(
% 58.08/9.39 iG714($true) = aa(nat,nat,suc,iG717($true)) | ~spl5880_3127),
% 58.08/9.39 inference(avatar_component_clause,[],[f96319])).
% 58.08/9.39 tff(f94450,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != iG717($true)) ) | ~spl5880_2835),
% 58.08/9.39 inference(avatar_component_clause,[],[f94449])).
% 58.08/9.39 tff(f109070,plain,(
% 58.08/9.39 spl5880_4942 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4941),
% 58.08/9.39 inference(avatar_split_clause,[],[f109066,f109062,f103044,f86300,f109068])).
% 58.08/9.39 tff(f109068,plain,(
% 58.08/9.39 spl5880_4942 <=> ! [X0 : nat,X1 : nat] : (iG271 != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4942])])).
% 58.08/9.39 tff(f109062,plain,(
% 58.08/9.39 spl5880_4941 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4941])])).
% 58.08/9.39 tff(f109066,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG271 != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4941)),
% 58.08/9.39 inference(forward_demodulation,[],[f109065,f103045])).
% 58.08/9.39 tff(f109065,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG714($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4941)),
% 58.08/9.39 inference(forward_demodulation,[],[f109063,f86302])).
% 58.08/9.39 tff(f109063,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) ) | ~spl5880_4941),
% 58.08/9.39 inference(avatar_component_clause,[],[f109062])).
% 58.08/9.39 tff(f109064,plain,(
% 58.08/9.39 spl5880_4941),
% 58.08/9.39 inference(avatar_split_clause,[],[f74476,f109062])).
% 58.08/9.39 tff(f74476,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74475,f69743])).
% 58.08/9.39 tff(f74475,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74474,f67338])).
% 58.08/9.39 tff(f74474,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f59604,f56791])).
% 58.08/9.39 tff(f59604,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (sP2116(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42527])).
% 58.08/9.39 tff(f42527,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP2116(X1,X0)) & (sP2116(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37383])).
% 58.08/9.39 tff(f37383,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> sP2116(X1,X0))),
% 58.08/9.39 inference(definition_folding,[],[f26253,f37382])).
% 58.08/9.39 tff(f37382,plain,(
% 58.08/9.39 ! [X1 : nat,X0 : nat] : (sP2116(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)))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2116])])).
% 58.08/9.39 tff(f26253,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 58.08/9.39 inference(rectify,[],[f1242])).
% 58.08/9.39 tff(f1242,axiom,(
% 58.08/9.39 ! [X15 : nat,X8 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X8) = aa(nat,nat,suc,zero_zero(nat)) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X8 & zero_zero(nat) = X15) | (zero_zero(nat) = X8 & aa(nat,nat,suc,zero_zero(nat)) = X15)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1241_one__is__add)).
% 58.08/9.39 tff(f109054,plain,(
% 58.08/9.39 spl5880_4940 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4939),
% 58.08/9.39 inference(avatar_split_clause,[],[f109050,f109046,f103044,f86300,f109052])).
% 58.08/9.39 tff(f109052,plain,(
% 58.08/9.39 spl5880_4940 <=> ! [X0 : nat,X1 : nat] : (iG271 = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4940])])).
% 58.08/9.39 tff(f109046,plain,(
% 58.08/9.39 spl5880_4939 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4939])])).
% 58.08/9.39 tff(f109050,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG271 = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4939)),
% 58.08/9.39 inference(forward_demodulation,[],[f109049,f103045])).
% 58.08/9.39 tff(f109049,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG714($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4939)),
% 58.08/9.39 inference(forward_demodulation,[],[f109047,f86302])).
% 58.08/9.39 tff(f109047,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) ) | ~spl5880_4939),
% 58.08/9.39 inference(avatar_component_clause,[],[f109046])).
% 58.08/9.39 tff(f109048,plain,(
% 58.08/9.39 spl5880_4939),
% 58.08/9.39 inference(avatar_split_clause,[],[f74473,f109046])).
% 58.08/9.39 tff(f74473,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74472,f69743])).
% 58.08/9.39 tff(f74472,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74471,f67338])).
% 58.08/9.39 tff(f74471,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2116(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f59605,f56791])).
% 58.08/9.39 tff(f59605,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP2116(X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42527])).
% 58.08/9.39 tff(f109044,plain,(
% 58.08/9.39 spl5880_4938 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4937),
% 58.08/9.39 inference(avatar_split_clause,[],[f109040,f109036,f103044,f86300,f109042])).
% 58.08/9.39 tff(f109042,plain,(
% 58.08/9.39 spl5880_4938 <=> ! [X0 : nat,X1 : nat] : (iG271 != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4938])])).
% 58.08/9.39 tff(f109036,plain,(
% 58.08/9.39 spl5880_4937 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4937])])).
% 58.08/9.39 tff(f109040,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG271 != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4937)),
% 58.08/9.39 inference(forward_demodulation,[],[f109039,f103045])).
% 58.08/9.39 tff(f109039,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG714($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4937)),
% 58.08/9.39 inference(forward_demodulation,[],[f109037,f86302])).
% 58.08/9.39 tff(f109037,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) ) | ~spl5880_4937),
% 58.08/9.39 inference(avatar_component_clause,[],[f109036])).
% 58.08/9.39 tff(f109038,plain,(
% 58.08/9.39 spl5880_4937),
% 58.08/9.39 inference(avatar_split_clause,[],[f74454,f109036])).
% 58.08/9.39 tff(f74454,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74453,f69743])).
% 58.08/9.39 tff(f74453,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74452,f67338])).
% 58.08/9.39 tff(f74452,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f59596,f56791])).
% 58.08/9.39 tff(f59596,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (sP2115(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42523])).
% 58.08/9.39 tff(f42523,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP2115(X1,X0)) & (sP2115(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37381])).
% 58.08/9.39 tff(f37381,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> sP2115(X1,X0))),
% 58.08/9.39 inference(definition_folding,[],[f26252,f37380])).
% 58.08/9.39 tff(f37380,plain,(
% 58.08/9.39 ! [X1 : nat,X0 : nat] : (sP2115(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)))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2115])])).
% 58.08/9.39 tff(f26252,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 58.08/9.39 inference(rectify,[],[f1243])).
% 58.08/9.39 tff(f1243,axiom,(
% 58.08/9.39 ! [X15 : nat,X8 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X8) = aa(nat,nat,suc,zero_zero(nat)) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X8 & zero_zero(nat) = X15) | (zero_zero(nat) = X8 & aa(nat,nat,suc,zero_zero(nat)) = X15)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1242_add__is__1)).
% 58.08/9.39 tff(f109027,plain,(
% 58.08/9.39 spl5880_4936 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4935),
% 58.08/9.39 inference(avatar_split_clause,[],[f109023,f109019,f103044,f86300,f109025])).
% 58.08/9.39 tff(f109025,plain,(
% 58.08/9.39 spl5880_4936 <=> ! [X0 : nat,X1 : nat] : (iG271 = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4936])])).
% 58.08/9.39 tff(f109019,plain,(
% 58.08/9.39 spl5880_4935 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4935])])).
% 58.08/9.39 tff(f109023,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG271 = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4935)),
% 58.08/9.39 inference(forward_demodulation,[],[f109022,f103045])).
% 58.08/9.39 tff(f109022,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG714($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) ) | (~spl5880_1536 | ~spl5880_4935)),
% 58.08/9.39 inference(forward_demodulation,[],[f109020,f86302])).
% 58.08/9.39 tff(f109020,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) ) | ~spl5880_4935),
% 58.08/9.39 inference(avatar_component_clause,[],[f109019])).
% 58.08/9.39 tff(f109021,plain,(
% 58.08/9.39 spl5880_4935),
% 58.08/9.39 inference(avatar_split_clause,[],[f74451,f109019])).
% 58.08/9.39 tff(f74451,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74450,f69743])).
% 58.08/9.39 tff(f74450,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74449,f67338])).
% 58.08/9.39 tff(f74449,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aTP_Lamp_afc(nat,fun(nat,nat),X1),X0) | ~sP2115(X1,X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f59597,f56791])).
% 58.08/9.39 tff(f59597,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP2115(X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42523])).
% 58.08/9.39 tff(f109016,plain,(
% 58.08/9.39 spl5880_4934 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4933),
% 58.08/9.39 inference(avatar_split_clause,[],[f109012,f109007,f103044,f86336,f86300,f109014])).
% 58.08/9.39 tff(f109014,plain,(
% 58.08/9.39 spl5880_4934 <=> ! [X0 : nat] : iG271 = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG717($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4934])])).
% 58.08/9.39 tff(f109007,plain,(
% 58.08/9.39 spl5880_4933 <=> ! [X0 : nat] : iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG894($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4933])])).
% 58.08/9.39 tff(f109012,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG271 = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4933)),
% 58.08/9.39 inference(forward_demodulation,[],[f109011,f103045])).
% 58.08/9.39 tff(f109011,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG714($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4933)),
% 58.08/9.39 inference(forward_demodulation,[],[f109010,f86302])).
% 58.08/9.39 tff(f109010,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG717($true))) ) | (~spl5880_1544 | ~spl5880_4933)),
% 58.08/9.39 inference(forward_demodulation,[],[f109008,f86338])).
% 58.08/9.39 tff(f109008,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG894($true))) ) | ~spl5880_4933),
% 58.08/9.39 inference(avatar_component_clause,[],[f109007])).
% 58.08/9.39 tff(f109009,plain,(
% 58.08/9.39 spl5880_4933),
% 58.08/9.39 inference(avatar_split_clause,[],[f74427,f109007])).
% 58.08/9.39 tff(f74427,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG894($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f74426,f69743])).
% 58.08/9.39 tff(f74426,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),iG894($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f68388,f67338])).
% 58.08/9.39 tff(f68388,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),zero_zero(nat))) )),
% 58.08/9.39 inference(equality_resolution,[],[f59586])).
% 58.08/9.39 tff(f59586,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | zero_zero(nat) != X1) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42518])).
% 58.08/9.39 tff(f42518,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | (aa(nat,nat,suc,zero_zero(nat)) != X0 & zero_zero(nat) != X1)) & (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1)))),
% 58.08/9.39 inference(flattening,[],[f42517])).
% 58.08/9.39 tff(f42517,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | (aa(nat,nat,suc,zero_zero(nat)) != X0 & zero_zero(nat) != X1)) & ((aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f26250])).
% 58.08/9.39 tff(f26250,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) <=> (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1))),
% 58.08/9.39 inference(rectify,[],[f976])).
% 58.08/9.39 tff(f976,axiom,(
% 58.08/9.39 ! [X9 : nat,X15 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X9),X15) <=> (aa(nat,nat,suc,zero_zero(nat)) = X9 | zero_zero(nat) = X15))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_975_nat__power__eq__Suc__0__iff)).
% 58.08/9.39 tff(f109005,plain,(
% 58.08/9.39 spl5880_4932),
% 58.08/9.39 inference(avatar_split_clause,[],[f74370,f109003])).
% 58.08/9.39 tff(f109003,plain,(
% 58.08/9.39 spl5880_4932 <=> ! [X1 : extended_enat] : bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),bot_bot(extended_enat)),X1)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4932])])).
% 58.08/9.39 tff(f74370,plain,(
% 58.08/9.39 ( ! [X1 : extended_enat] : (bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),bot_bot(extended_enat)),X1)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f68370,f50006])).
% 58.08/9.39 tff(f68370,plain,(
% 58.08/9.39 ( ! [X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),zero_zero(extended_enat)),X1)) )),
% 58.08/9.39 inference(equality_resolution,[],[f59538])).
% 58.08/9.39 tff(f59538,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat,X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1) | zero_zero(extended_enat) != X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42483])).
% 58.08/9.39 tff(f42483,plain,(
% 58.08/9.39 ! [X0 : extended_enat,X1 : extended_enat] : ((zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1) | (zero_zero(extended_enat) != X1 & zero_zero(extended_enat) != X0)) & (zero_zero(extended_enat) = X1 | zero_zero(extended_enat) = X0 | zero_zero(extended_enat) != aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1)))),
% 58.08/9.39 inference(flattening,[],[f42482])).
% 58.08/9.39 tff(f42482,plain,(
% 58.08/9.39 ! [X0 : extended_enat,X1 : extended_enat] : ((zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1) | (zero_zero(extended_enat) != X1 & zero_zero(extended_enat) != X0)) & ((zero_zero(extended_enat) = X1 | zero_zero(extended_enat) = X0) | zero_zero(extended_enat) != aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f26238])).
% 58.08/9.39 tff(f26238,plain,(
% 58.08/9.39 ! [X0 : extended_enat,X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1) <=> (zero_zero(extended_enat) = X1 | zero_zero(extended_enat) = X0))),
% 58.08/9.39 inference(rectify,[],[f1689])).
% 58.08/9.39 tff(f1689,axiom,(
% 58.08/9.39 ! [X15 : extended_enat,X8 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X15),X8) <=> (zero_zero(extended_enat) = X8 | zero_zero(extended_enat) = X15))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1688_imult__is__0)).
% 58.08/9.39 tff(f109001,plain,(
% 58.08/9.39 spl5880_4931),
% 58.08/9.39 inference(avatar_split_clause,[],[f74369,f108999])).
% 58.08/9.39 tff(f108999,plain,(
% 58.08/9.39 spl5880_4931 <=> ! [X0 : extended_enat] : bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),bot_bot(extended_enat))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4931])])).
% 58.08/9.39 tff(f74369,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat] : (bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),bot_bot(extended_enat))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f68369,f50006])).
% 58.08/9.39 tff(f68369,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),zero_zero(extended_enat))) )),
% 58.08/9.39 inference(equality_resolution,[],[f59539])).
% 58.08/9.39 tff(f59539,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat,X1 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),X0),X1) | zero_zero(extended_enat) != X1) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42483])).
% 58.08/9.39 tff(f108997,plain,(
% 58.08/9.39 spl5880_4930),
% 58.08/9.39 inference(avatar_split_clause,[],[f74346,f108995])).
% 58.08/9.39 tff(f108995,plain,(
% 58.08/9.39 spl5880_4930 <=> ! [X0 : num,X1 : nat] : (lG1553(X0) = X1 | aa(nat,nat,suc,X1) != aa(num,nat,numeral_numeral(nat),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4930])])).
% 58.08/9.39 tff(f74346,plain,(
% 58.08/9.39 ( ! [X0 : num,X1 : nat] : (lG1553(X0) = X1 | aa(nat,nat,suc,X1) != aa(num,nat,numeral_numeral(nat),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f66198,f65286])).
% 58.08/9.39 tff(f66198,plain,(
% 58.08/9.39 ( ! [X0 : num,X1 : nat] : (lG1586(X0) = X1 | aa(nat,nat,suc,X1) != aa(num,nat,numeral_numeral(nat),X0)) )),
% 58.08/9.39 inference(definition_unfolding,[],[f59512,f46570])).
% 58.08/9.39 tff(f59512,plain,(
% 58.08/9.39 ( ! [X0 : num,X1 : nat] : (pred_numeral(X0) = X1 | aa(nat,nat,suc,X1) != aa(num,nat,numeral_numeral(nat),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42466])).
% 58.08/9.39 tff(f42466,plain,(
% 58.08/9.39 ! [X0 : num,X1 : nat] : ((aa(nat,nat,suc,X1) = aa(num,nat,numeral_numeral(nat),X0) | pred_numeral(X0) != X1) & (pred_numeral(X0) = X1 | aa(nat,nat,suc,X1) != aa(num,nat,numeral_numeral(nat),X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f26229])).
% 58.08/9.39 tff(f26229,plain,(
% 58.08/9.39 ! [X0 : num,X1 : nat] : (aa(nat,nat,suc,X1) = aa(num,nat,numeral_numeral(nat),X0) <=> pred_numeral(X0) = X1)),
% 58.08/9.39 inference(rectify,[],[f2358])).
% 58.08/9.39 tff(f2358,axiom,(
% 58.08/9.39 ! [X24 : num,X8 : nat] : (aa(nat,nat,suc,X8) = aa(num,nat,numeral_numeral(nat),X24) <=> pred_numeral(X24) = X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2357_eq__numeral__Suc)).
% 58.08/9.39 tff(f108992,plain,(
% 58.08/9.39 spl5880_4929),
% 58.08/9.39 inference(avatar_split_clause,[],[f74344,f108990])).
% 58.08/9.39 tff(f74344,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X1) != iG894($true) | nil(X0) = X1) )),
% 58.08/9.39 inference(forward_demodulation,[],[f59510,f67338])).
% 58.08/9.39 tff(f59510,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | zero_zero(nat) != aa(list(X0),nat,size_size(list(X0)),X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f42465])).
% 58.08/9.39 tff(f42465,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : list(X0)] : ((zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),X1) | nil(X0) != X1) & (nil(X0) = X1 | zero_zero(nat) != aa(list(X0),nat,size_size(list(X0)),X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f26228])).
% 58.08/9.39 tff(f26228,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : list(X0)] : (zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),X1) <=> nil(X0) = X1)),
% 58.08/9.39 inference(rectify,[],[f6762])).
% 58.08/9.39 tff(f6762,axiom,(
% 58.08/9.39 ! [X0 : $tType,X64 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X64) = zero_zero(nat) <=> nil(X0) = X64)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6761_length__0__conv)).
% 58.08/9.39 tff(f108982,plain,(
% 58.08/9.39 spl5880_4928 | ~spl5880_4145 | ~spl5880_4919),
% 58.08/9.39 inference(avatar_split_clause,[],[f108923,f108919,f103044,f108979])).
% 58.08/9.39 tff(f108979,plain,(
% 58.08/9.39 spl5880_4928 <=> iG983(one_one(int),iG271)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4928])])).
% 58.08/9.39 tff(f108919,plain,(
% 58.08/9.39 spl5880_4919 <=> iG983(one_one(int),iG714($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4919])])).
% 58.08/9.39 tff(f108923,plain,(
% 58.08/9.39 iG983(one_one(int),iG271) | (~spl5880_4145 | ~spl5880_4919)),
% 58.08/9.39 inference(forward_demodulation,[],[f108921,f103045])).
% 58.08/9.39 tff(f108921,plain,(
% 58.08/9.39 iG983(one_one(int),iG714($true)) | ~spl5880_4919),
% 58.08/9.39 inference(avatar_component_clause,[],[f108919])).
% 58.08/9.39 tff(f108977,plain,(
% 58.08/9.39 spl5880_4927 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4926),
% 58.08/9.39 inference(avatar_split_clause,[],[f108973,f108969,f103044,f86300,f108975])).
% 58.08/9.39 tff(f108975,plain,(
% 58.08/9.39 spl5880_4927 <=> ! [X0 : nat] : (iG271 = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4927])])).
% 58.08/9.39 tff(f108969,plain,(
% 58.08/9.39 spl5880_4926 <=> ! [X0 : nat] : (iG1228($true) = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4926])])).
% 58.08/9.39 tff(f108973,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG271 = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4926)),
% 58.08/9.39 inference(forward_demodulation,[],[f108972,f103045])).
% 58.08/9.39 tff(f108972,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG714($true) = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) ) | (~spl5880_1536 | ~spl5880_4926)),
% 58.08/9.39 inference(forward_demodulation,[],[f108970,f86302])).
% 58.08/9.39 tff(f108970,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) ) | ~spl5880_4926),
% 58.08/9.39 inference(avatar_component_clause,[],[f108969])).
% 58.08/9.39 tff(f108971,plain,(
% 58.08/9.39 spl5880_4926),
% 58.08/9.39 inference(avatar_split_clause,[],[f73244,f108969])).
% 58.08/9.39 tff(f73244,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f73243,f69743])).
% 58.08/9.39 tff(f73243,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | sP2051(vEBT_vebt_buildup(X0),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f68185,f67338])).
% 58.08/9.39 tff(f68185,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (vEBT_vebt_buildup(X0) = iG885(sK3763(X0,vEBT_vebt_buildup(X0))) | aa(nat,nat,suc,zero_zero(nat)) = X0 | sP2051(vEBT_vebt_buildup(X0),X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f58177])).
% 58.08/9.39 tff(f58177,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG885(sK3763(X0,X1)) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X0 | sP2051(X1,X0) | vEBT_vebt_buildup(X0) != X1) )),
% 58.08/9.39 inference(cnf_transformation,[],[f41662])).
% 58.08/9.39 tff(f108957,plain,(
% 58.08/9.39 spl5880_4925 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4924),
% 58.08/9.39 inference(avatar_split_clause,[],[f108953,f108949,f103044,f86300,f108955])).
% 58.08/9.39 tff(f108955,plain,(
% 58.08/9.39 spl5880_4925 <=> ! [X0 : vEBT_VEBT] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG271))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4925])])).
% 58.08/9.39 tff(f108949,plain,(
% 58.08/9.39 spl5880_4924 <=> ! [X0 : vEBT_VEBT] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG1228($true)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4924])])).
% 58.08/9.39 tff(f108953,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG271))) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4924)),
% 58.08/9.39 inference(forward_demodulation,[],[f108952,f103045])).
% 58.08/9.39 tff(f108952,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG714($true)))) ) | (~spl5880_1536 | ~spl5880_4924)),
% 58.08/9.39 inference(forward_demodulation,[],[f108950,f86302])).
% 58.08/9.39 tff(f108950,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG1228($true)))) ) | ~spl5880_4924),
% 58.08/9.39 inference(avatar_component_clause,[],[f108949])).
% 58.08/9.39 tff(f108951,plain,(
% 58.08/9.39 spl5880_4924),
% 58.08/9.39 inference(avatar_split_clause,[],[f72206,f108949])).
% 58.08/9.39 tff(f72206,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),iG1228($true)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f56641,f67101])).
% 58.08/9.39 tff(f56641,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),one_one(nat)))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f14467])).
% 58.08/9.39 tff(f14467,plain,(
% 58.08/9.39 ! [X0 : vEBT_VEBT] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),one_one(nat)))),
% 58.08/9.39 inference(fool_elimination,[],[f14466])).
% 58.08/9.39 tff(f14466,plain,(
% 58.08/9.39 ! [X0 : vEBT_VEBT] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X0)),one_one(nat))),
% 58.08/9.39 inference(rectify,[],[f781])).
% 58.08/9.39 tff(f781,axiom,(
% 58.08/9.39 ! [X7 : vEBT_VEBT] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_m_i_n_N_u_l_l(X7)),one_one(nat))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_780_minNull__bound)).
% 58.08/9.39 tff(f108947,plain,(
% 58.08/9.39 spl5880_4923),
% 58.08/9.39 inference(avatar_split_clause,[],[f72199,f108945])).
% 58.08/9.39 tff(f108945,plain,(
% 58.08/9.39 spl5880_4923 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3380(X0)),iG303(imaginary_unit)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4923])])).
% 58.08/9.39 tff(f72199,plain,(
% 58.08/9.39 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3380(X0)),iG303(imaginary_unit)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f56630,f65754])).
% 58.08/9.39 tff(f56630,plain,(
% 58.08/9.39 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3380(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40986])).
% 58.08/9.39 tff(f40986,plain,(
% 58.08/9.39 ! [X0 : real] : (! [X2 : real] : (sK3380(X0) = X2 | aa(real,real,tan(real),X2) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2))) & aa(real,real,tan(real),sK3380(X0)) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3380(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),sK3380(X0))))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3380])],[f33189,f40985])).
% 58.08/9.39 tff(f40985,plain,(
% 58.08/9.39 ! [X0 : real] : (? [X1 : real] : (! [X2 : real] : (X1 = X2 | aa(real,real,tan(real),X2) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2))) & aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))) => (! [X2 : real] : (sK3380(X0) = X2 | aa(real,real,tan(real),X2) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2))) & aa(real,real,tan(real),sK3380(X0)) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3380(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),sK3380(X0)))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f33189,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : (X1 = X2 | aa(real,real,tan(real),X2) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2))) & aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))),
% 58.08/9.39 inference(flattening,[],[f33188])).
% 58.08/9.39 tff(f33188,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : (X1 = X2 | (aa(real,real,tan(real),X2) != X0 | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2)))) & aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))),
% 58.08/9.39 inference(ennf_transformation,[],[f14453])).
% 58.08/9.39 tff(f14453,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : ((aa(real,real,tan(real),X2) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2))) => X1 = X2) & aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f14452])).
% 58.08/9.39 tff(f14452,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : ((aa(real,real,tan(real),X2) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X2)) => X1 = X2) & aa(real,real,tan(real),X1) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))),
% 58.08/9.39 inference(rectify,[],[f3705])).
% 58.08/9.39 tff(f3705,axiom,(
% 58.08/9.39 ! [X18 : real] : ? [X29 : real] : (! [X49 : real] : ((aa(real,real,tan(real),X49) = X18 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X49),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X49)) => X29 = X49) & aa(real,real,tan(real),X29) = X18 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X29),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X29))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3704_tan__total)).
% 58.08/9.39 tff(f108943,plain,(
% 58.08/9.39 spl5880_4922),
% 58.08/9.39 inference(avatar_split_clause,[],[f72193,f108941])).
% 58.08/9.39 tff(f108941,plain,(
% 58.08/9.39 spl5880_4922 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3379(X0)),iG303(imaginary_unit)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4922])])).
% 58.08/9.39 tff(f72193,plain,(
% 58.08/9.39 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3379(X0)),iG303(imaginary_unit)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f56627,f65754])).
% 58.08/9.39 tff(f56627,plain,(
% 58.08/9.39 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3379(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40984])).
% 58.08/9.39 tff(f40984,plain,(
% 58.08/9.39 ! [X0 : real] : (aa(real,real,tan(real),sK3379(X0)) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3379(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),sK3379(X0))))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3379])],[f14451,f40983])).
% 58.08/9.39 tff(f40983,plain,(
% 58.08/9.39 ! [X0 : real] : (? [X1 : real] : (aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))) => (aa(real,real,tan(real),sK3379(X0)) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3379(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),sK3379(X0)))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f14451,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (aa(real,real,tan(real),X1) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f14450])).
% 58.08/9.39 tff(f14450,plain,(
% 58.08/9.39 ! [X0 : real] : ? [X1 : real] : (aa(real,real,tan(real),X1) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X1))),
% 58.08/9.39 inference(rectify,[],[f3709])).
% 58.08/9.39 tff(f3709,axiom,(
% 58.08/9.39 ! [X18 : real] : ? [X29 : real] : (aa(real,real,tan(real),X29) = X18 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X29),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),X29))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3708_lemma__tan__total1)).
% 58.08/9.39 tff(f108936,plain,(
% 58.08/9.39 spl5880_4921 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4920),
% 58.08/9.39 inference(avatar_split_clause,[],[f108931,f108925,f103044,f86336,f86300,f108933])).
% 58.08/9.39 tff(f108933,plain,(
% 58.08/9.39 spl5880_4921 <=> ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG717($true)),iG271))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4921])])).
% 58.08/9.39 tff(f108925,plain,(
% 58.08/9.39 spl5880_4920 <=> ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),iG1228($true)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4920])])).
% 58.08/9.39 tff(f108931,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG717($true)),iG271)) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4920)),
% 58.08/9.39 inference(forward_demodulation,[],[f108930,f86338])).
% 58.08/9.39 tff(f108930,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),iG271)) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4920)),
% 58.08/9.39 inference(forward_demodulation,[],[f108929,f103045])).
% 58.08/9.39 tff(f108929,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),iG714($true))) | (~spl5880_1536 | ~spl5880_4920)),
% 58.08/9.39 inference(forward_demodulation,[],[f108927,f86302])).
% 58.08/9.39 tff(f108927,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),iG1228($true))) | ~spl5880_4920),
% 58.08/9.39 inference(avatar_component_clause,[],[f108925])).
% 58.08/9.39 tff(f108928,plain,(
% 58.08/9.39 spl5880_4920),
% 58.08/9.39 inference(avatar_split_clause,[],[f72122,f108925])).
% 58.08/9.39 tff(f72122,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),iG894($true)),iG1228($true)))),
% 58.08/9.39 inference(forward_demodulation,[],[f72121,f67338])).
% 58.08/9.39 tff(f72121,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),iG1228($true)))),
% 58.08/9.39 inference(forward_demodulation,[],[f68137,f67101])).
% 58.08/9.39 tff(f68137,plain,(
% 58.08/9.39 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),one_one(nat)))),
% 58.08/9.39 inference(equality_resolution,[],[f56545])).
% 58.08/9.39 tff(f56545,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),one_one(nat))) | zero_zero(nat) != X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40947])).
% 58.08/9.39 tff(f40947,plain,(
% 58.08/9.39 ! [X0 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),one_one(nat))) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),one_one(nat)))))),
% 58.08/9.39 inference(nnf_transformation,[],[f14333])).
% 58.08/9.39 tff(f14333,plain,(
% 58.08/9.39 ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),one_one(nat))) <=> zero_zero(nat) = X0)),
% 58.08/9.39 inference(fool_elimination,[],[f14332])).
% 58.08/9.39 tff(f14332,plain,(
% 58.08/9.39 ! [X0 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),one_one(nat)) <=> zero_zero(nat) = X0)),
% 58.08/9.39 inference(rectify,[],[f962])).
% 58.08/9.39 tff(f962,axiom,(
% 58.08/9.39 ! [X8 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),one_one(nat)) <=> zero_zero(nat) = X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_961_less__one)).
% 58.08/9.39 tff(f108922,plain,(
% 58.08/9.39 spl5880_4919 | ~spl5880_2364 | ~spl5880_3126),
% 58.08/9.39 inference(avatar_split_clause,[],[f96412,f96314,f90473,f108919])).
% 58.08/9.39 tff(f96314,plain,(
% 58.08/9.39 spl5880_3126 <=> aa(int,nat,nat2,one_one(int)) = iG714($true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3126])])).
% 58.08/9.39 tff(f96412,plain,(
% 58.08/9.39 iG983(one_one(int),iG714($true)) | (~spl5880_2364 | ~spl5880_3126)),
% 58.08/9.39 inference(superposition,[],[f90474,f96316])).
% 58.08/9.39 tff(f96316,plain,(
% 58.08/9.39 aa(int,nat,nat2,one_one(int)) = iG714($true) | ~spl5880_3126),
% 58.08/9.39 inference(avatar_component_clause,[],[f96314])).
% 58.08/9.39 tff(f108917,plain,(
% 58.08/9.39 spl5880_4918),
% 58.08/9.39 inference(avatar_split_clause,[],[f71306,f108915])).
% 58.08/9.39 tff(f108915,plain,(
% 58.08/9.39 spl5880_4918 <=> ! [X0 : $tType,X1 : X0] : (iG577(X0,one_one(X0),sK2842(X0,X1)) = X1 | ~member(X0,X1,semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4918])])).
% 58.08/9.39 tff(f71306,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (iG577(X0,one_one(X0),sK2842(X0,X1)) = X1 | ~member(X0,X1,semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f54840,f67555])).
% 58.08/9.39 tff(f54840,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,semiring_1_of_nat(X0),sK2842(X0,X1)) = X1 | ~member(X0,X1,semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39957])).
% 58.08/9.39 tff(f39957,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : (aa(nat,X0,semiring_1_of_nat(X0),sK2842(X0,X1)) = X1 | ~member(X0,X1,semiring_1_Nats(X0))) | ~semiring_1(X0))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2842])],[f31560,f39956])).
% 58.08/9.39 tff(f39956,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0] : (? [X2 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X2) = X1 => aa(nat,X0,semiring_1_of_nat(X0),sK2842(X0,X1)) = X1)),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f31560,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0] : (? [X2 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X2) = X1 | ~member(X0,X1,semiring_1_Nats(X0))) | ~semiring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24814])).
% 58.08/9.39 tff(f24814,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : X0] : (member(X0,X1,semiring_1_Nats(X0)) => ~! [X2 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X2) != X1))),
% 58.08/9.39 inference(rectify,[],[f7712])).
% 58.08/9.39 tff(f7712,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1(X0) => ! [X9 : X0] : (member(X0,X9,semiring_1_Nats(X0)) => ~! [X34 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X34) != X9))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7711_Nats__cases)).
% 58.08/9.39 tff(f108913,plain,(
% 58.08/9.39 spl5880_4917),
% 58.08/9.39 inference(avatar_split_clause,[],[f71293,f108911])).
% 58.08/9.39 tff(f108911,plain,(
% 58.08/9.39 spl5880_4917 <=> ! [X0 : $tType,X1 : nat] : (semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X1,zero_zero(X0)) = iG577(X0,one_one(X0),X1) | ~semiring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4917])])).
% 58.08/9.39 tff(f71293,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X1,zero_zero(X0)) = iG577(X0,one_one(X0),X1) | ~semiring_1(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f54828,f67555])).
% 58.08/9.39 tff(f54828,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X1,zero_zero(X0)) | ~semiring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f31548])).
% 58.08/9.39 tff(f31548,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X1,zero_zero(X0)) | ~semiring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24806])).
% 58.08/9.39 tff(f24806,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X1,zero_zero(X0)))),
% 58.08/9.39 inference(rectify,[],[f4311])).
% 58.08/9.39 tff(f4311,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X8) = semiri8178284476397505188at_aux(X0,aTP_Lamp_ir(X0,X0),X8,zero_zero(X0)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4310_of__nat__code)).
% 58.08/9.39 tff(f108909,plain,(
% 58.08/9.39 spl5880_4916),
% 58.08/9.39 inference(avatar_split_clause,[],[f71139,f108907])).
% 58.08/9.39 tff(f108907,plain,(
% 58.08/9.39 spl5880_4916 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (iG577(X0,one_one(X0),X1) != iG577(X0,one_one(X0),X2) | X1 = X2 | ~semiring_char_0(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4916])])).
% 58.08/9.39 tff(f71139,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (iG577(X0,one_one(X0),X1) != iG577(X0,one_one(X0),X2) | X1 = X2 | ~semiring_char_0(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f71138,f67555])).
% 58.08/9.39 tff(f71138,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X2) != iG577(X0,one_one(X0),X1) | X1 = X2 | ~semiring_char_0(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f54583,f67555])).
% 58.08/9.39 tff(f54583,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (X1 = X2 | aa(nat,X0,semiring_1_of_nat(X0),X2) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39944])).
% 58.08/9.39 tff(f39944,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : ((aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) | X1 != X2) & (X1 = X2 | aa(nat,X0,semiring_1_of_nat(X0),X2) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f31305])).
% 58.08/9.39 tff(f31305,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> X1 = X2) | ~semiring_char_0(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24627])).
% 58.08/9.39 tff(f24627,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat,X2 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> X1 = X2))),
% 58.08/9.39 inference(rectify,[],[f3087])).
% 58.08/9.39 tff(f3087,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X15 : nat,X8 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X8) = aa(nat,X0,semiring_1_of_nat(X0),X15) <=> X8 = X15))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3086_of__nat__eq__iff)).
% 58.08/9.39 tff(f108904,plain,(
% 58.08/9.39 spl5880_4915),
% 58.08/9.39 inference(avatar_split_clause,[],[f70541,f108902])).
% 58.08/9.39 tff(f70541,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f52127,f67338])).
% 58.08/9.39 tff(f52127,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39214])).
% 58.08/9.39 tff(f39214,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat] : ((($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)))) | ~bit_semiring_bits(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f29359])).
% 58.08/9.39 tff(f29359,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) <=> zero_zero(nat) = X1) | ~bit_semiring_bits(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f11112])).
% 58.08/9.39 tff(f11112,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) <=> zero_zero(nat) = X1))),
% 58.08/9.39 inference(fool_elimination,[],[f11111])).
% 58.08/9.39 tff(f11111,plain,(
% 58.08/9.39 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1) <=> zero_zero(nat) = X1))),
% 58.08/9.39 inference(rectify,[],[f4525])).
% 58.08/9.39 tff(f4525,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X8 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X8) <=> zero_zero(nat) = X8))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4524_bit__1__iff)).
% 58.08/9.39 tff(f108900,plain,(
% 58.08/9.39 spl5880_4914),
% 58.08/9.39 inference(avatar_split_clause,[],[f70379,f108898])).
% 58.08/9.39 tff(f108898,plain,(
% 58.08/9.39 spl5880_4914 <=> ! [X0 : $tType,X1 : num] : (archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4914])])).
% 58.08/9.39 tff(f70379,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f51230,f50021])).
% 58.08/9.39 tff(f51230,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (aa(num,int,numeral_numeral(int),X1) = archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28587])).
% 58.08/9.39 tff(f28587,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23355])).
% 58.08/9.39 tff(f23355,plain,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.39 inference(rectify,[],[f4117])).
% 58.08/9.39 tff(f4117,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X16 : num] : aa(num,int,numeral_numeral(int),X16) = archim6421214686448440834_floor(X0,aa(num,X0,numeral_numeral(X0),X16)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4116_floor__numeral)).
% 58.08/9.39 tff(f108896,plain,(
% 58.08/9.39 spl5880_4913),
% 58.08/9.39 inference(avatar_split_clause,[],[f70378,f108894])).
% 58.08/9.39 tff(f108894,plain,(
% 58.08/9.39 spl5880_4913 <=> ! [X0 : $tType,X1 : num] : (archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4913])])).
% 58.08/9.39 tff(f70378,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f51229,f50021])).
% 58.08/9.39 tff(f51229,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28586])).
% 58.08/9.39 tff(f28586,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23354])).
% 58.08/9.39 tff(f23354,plain,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.39 inference(rectify,[],[f3270])).
% 58.08/9.39 tff(f3270,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X16 : num] : aa(num,int,numeral_numeral(int),X16) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X16)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3269_ceiling__numeral)).
% 58.08/9.39 tff(f108892,plain,(
% 58.08/9.39 spl5880_4912),
% 58.08/9.39 inference(avatar_split_clause,[],[f70377,f108890])).
% 58.08/9.39 tff(f108890,plain,(
% 58.08/9.39 spl5880_4912 <=> ! [X0 : $tType,X1 : num] : (archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4912])])).
% 58.08/9.39 tff(f70377,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,code_Target_positive,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f51228,f50021])).
% 58.08/9.39 tff(f51228,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : num] : (aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f28585])).
% 58.08/9.39 tff(f28585,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f23353])).
% 58.08/9.39 tff(f23353,plain,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.39 inference(rectify,[],[f2727])).
% 58.08/9.39 tff(f2727,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X8 : num] : aa(num,int,numeral_numeral(int),X8) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X8)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2726_round__numeral)).
% 58.08/9.39 tff(f108883,plain,(
% 58.08/9.39 spl5880_4911 | ~spl5880_139 | ~spl5880_1536 | ~spl5880_4141 | ~spl5880_4145 | ~spl5880_4910),
% 58.08/9.39 inference(avatar_split_clause,[],[f108879,f108874,f103044,f103028,f86300,f79138,f108881])).
% 58.08/9.39 tff(f108881,plain,(
% 58.08/9.39 spl5880_4911 <=> ! [X0 : nat] : aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = iG458(nat,X0,iG271)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4911])])).
% 58.08/9.39 tff(f79138,plain,(
% 58.08/9.39 spl5880_139 <=> bit_se359711467146920520ations(nat)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_139])])).
% 58.08/9.39 tff(f103028,plain,(
% 58.08/9.39 spl5880_4141 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = iG458(X0,X1,X2) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4141])])).
% 58.08/9.39 tff(f108874,plain,(
% 58.08/9.39 spl5880_4910 <=> ! [X0 : nat] : aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),iG1228($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4910])])).
% 58.08/9.39 tff(f108879,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = iG458(nat,X0,iG271)) ) | (~spl5880_139 | ~spl5880_1536 | ~spl5880_4141 | ~spl5880_4145 | ~spl5880_4910)),
% 58.08/9.39 inference(forward_demodulation,[],[f108878,f103045])).
% 58.08/9.39 tff(f108878,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = iG458(nat,X0,iG714($true))) ) | (~spl5880_139 | ~spl5880_1536 | ~spl5880_4141 | ~spl5880_4910)),
% 58.08/9.39 inference(forward_demodulation,[],[f108877,f86302])).
% 58.08/9.39 tff(f108877,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = iG458(nat,X0,iG1228($true))) ) | (~spl5880_139 | ~spl5880_4141 | ~spl5880_4910)),
% 58.08/9.39 inference(forward_demodulation,[],[f108875,f104438])).
% 58.08/9.39 tff(f104438,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),X1) = iG458(nat,X0,X1)) ) | (~spl5880_139 | ~spl5880_4141)),
% 58.08/9.39 inference(resolution,[],[f103029,f79140])).
% 58.08/9.39 tff(f79140,plain,(
% 58.08/9.39 bit_se359711467146920520ations(nat) | ~spl5880_139),
% 58.08/9.39 inference(avatar_component_clause,[],[f79138])).
% 58.08/9.39 tff(f103029,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (~bit_se359711467146920520ations(X0) | aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = iG458(X0,X1,X2)) ) | ~spl5880_4141),
% 58.08/9.39 inference(avatar_component_clause,[],[f103028])).
% 58.08/9.39 tff(f108875,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),iG1228($true))) ) | ~spl5880_4910),
% 58.08/9.39 inference(avatar_component_clause,[],[f108874])).
% 58.08/9.39 tff(f108876,plain,(
% 58.08/9.39 spl5880_4910),
% 58.08/9.39 inference(avatar_split_clause,[],[f70277,f108874])).
% 58.08/9.39 tff(f70277,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),iG1228($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f70276,f69743])).
% 58.08/9.39 tff(f70276,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0)) = aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50627,f67338])).
% 58.08/9.39 tff(f50627,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f9981])).
% 58.08/9.39 tff(f9981,plain,(
% 58.08/9.39 ! [X0 : nat] : aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa($o,nat,zero_neq_one_of_bool(nat),bG330(X0))),
% 58.08/9.39 inference(fool_elimination,[],[f9979,f9980])).
% 58.08/9.39 tff(f9980,plain,(
% 58.08/9.39 ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG330(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG330])])).
% 58.08/9.39 tff(f9979,plain,(
% 58.08/9.39 ! [X0 : nat] : aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa($o,nat,zero_neq_one_of_bool(nat),zero_zero(nat) = X0)),
% 58.08/9.39 inference(rectify,[],[f5569])).
% 58.08/9.39 tff(f5569,axiom,(
% 58.08/9.39 ! [X8 : nat] : aa(nat,nat,bit_se4197421643247451524op_bit(nat,X8),aa(nat,nat,suc,zero_zero(nat))) = aa($o,nat,zero_neq_one_of_bool(nat),zero_zero(nat) = X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5568_drop__bit__of__Suc__0)).
% 58.08/9.39 tff(f108871,plain,(
% 58.08/9.39 spl5880_4909 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4908),
% 58.08/9.39 inference(avatar_split_clause,[],[f108867,f108863,f103044,f86300,f108869])).
% 58.08/9.39 tff(f108869,plain,(
% 58.08/9.39 spl5880_4909 <=> ! [X0 : nat] : aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG271)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4909])])).
% 58.08/9.39 tff(f108863,plain,(
% 58.08/9.39 spl5880_4908 <=> ! [X0 : nat] : aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG1228($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4908])])).
% 58.08/9.39 tff(f108867,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG271)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4908)),
% 58.08/9.39 inference(forward_demodulation,[],[f108866,f103045])).
% 58.08/9.39 tff(f108866,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG714($true))) ) | (~spl5880_1536 | ~spl5880_4908)),
% 58.08/9.39 inference(forward_demodulation,[],[f108864,f86302])).
% 58.08/9.39 tff(f108864,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG1228($true))) ) | ~spl5880_4908),
% 58.08/9.39 inference(avatar_component_clause,[],[f108863])).
% 58.08/9.39 tff(f108865,plain,(
% 58.08/9.39 spl5880_4908),
% 58.08/9.39 inference(avatar_split_clause,[],[f70100,f108863])).
% 58.08/9.39 tff(f70100,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG1228($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f70099,f70043])).
% 58.08/9.39 tff(f70043,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50465,f69765])).
% 58.08/9.39 tff(f50465,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22990])).
% 58.08/9.39 tff(f22990,plain,(
% 58.08/9.39 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),
% 58.08/9.39 inference(rectify,[],[f3038])).
% 58.08/9.39 tff(f3038,axiom,(
% 58.08/9.39 ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X8) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X8))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3037_Suc__mask__eq__exp)).
% 58.08/9.39 tff(f70099,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG1228($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f70098,f69765])).
% 58.08/9.39 tff(f70098,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),iG1228($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f70097,f69743])).
% 58.08/9.39 tff(f70097,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50507,f67338])).
% 58.08/9.39 tff(f50507,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f23030])).
% 58.08/9.39 tff(f23030,plain,(
% 58.08/9.39 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.39 inference(rectify,[],[f4984])).
% 58.08/9.39 tff(f4984,axiom,(
% 58.08/9.39 ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X8) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X8),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4983_push__bit__of__Suc__0)).
% 58.08/9.39 tff(f108861,plain,(
% 58.08/9.39 spl5880_4907 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4906),
% 58.08/9.39 inference(avatar_split_clause,[],[f108857,f108853,f103044,f86300,f108859])).
% 58.08/9.39 tff(f108859,plain,(
% 58.08/9.39 spl5880_4907 <=> ! [X0 : nat] : iG271 = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG271),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4907])])).
% 58.08/9.39 tff(f108853,plain,(
% 58.08/9.39 spl5880_4906 <=> ! [X0 : nat] : iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG1228($true)),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4906])])).
% 58.08/9.39 tff(f108857,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG271 = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG271),X0)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4906)),
% 58.08/9.39 inference(forward_demodulation,[],[f108856,f103045])).
% 58.08/9.39 tff(f108856,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG714($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG714($true)),X0)) ) | (~spl5880_1536 | ~spl5880_4906)),
% 58.08/9.39 inference(forward_demodulation,[],[f108854,f86302])).
% 58.08/9.39 tff(f108854,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG1228($true)),X0)) ) | ~spl5880_4906),
% 58.08/9.39 inference(avatar_component_clause,[],[f108853])).
% 58.08/9.39 tff(f108855,plain,(
% 58.08/9.39 spl5880_4906),
% 58.08/9.39 inference(avatar_split_clause,[],[f69978,f108853])).
% 58.08/9.39 tff(f69978,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),iG1228($true)),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f69977,f69743])).
% 58.08/9.39 tff(f69977,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG894($true))),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50419,f67338])).
% 58.08/9.39 tff(f50419,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22945])).
% 58.08/9.39 tff(f22945,plain,(
% 58.08/9.39 ! [X0 : nat] : aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X0)),
% 58.08/9.39 inference(rectify,[],[f975])).
% 58.08/9.39 tff(f975,axiom,(
% 58.08/9.39 ! [X8 : nat] : aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_974_power__Suc__0)).
% 58.08/9.39 tff(f108851,plain,(
% 58.08/9.39 spl5880_4905),
% 58.08/9.39 inference(avatar_split_clause,[],[f69955,f108849])).
% 58.08/9.39 tff(f108849,plain,(
% 58.08/9.39 spl5880_4905 <=> ! [X0 : nat] : set_ord_atMost(nat,X0) = aa(set(nat),set(nat),insert(nat,X0),set_ord_lessThan(nat,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4905])])).
% 58.08/9.39 tff(f69955,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = aa(set(nat),set(nat),insert(nat,X0),set_ord_lessThan(nat,X0))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50375,f50271])).
% 58.08/9.39 tff(f50271,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22801])).
% 58.08/9.39 tff(f22801,plain,(
% 58.08/9.39 ! [X0 : nat] : set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))),
% 58.08/9.39 inference(rectify,[],[f3969])).
% 58.08/9.39 tff(f3969,axiom,(
% 58.08/9.39 ! [X24 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X24)) = set_ord_atMost(nat,X24)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3968_lessThan__Suc__atMost)).
% 58.08/9.39 tff(f50375,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),insert(nat,X0),set_ord_lessThan(nat,X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22902])).
% 58.08/9.39 tff(f22902,plain,(
% 58.08/9.39 ! [X0 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),insert(nat,X0),set_ord_lessThan(nat,X0))),
% 58.08/9.39 inference(rectify,[],[f3420])).
% 58.08/9.39 tff(f3420,axiom,(
% 58.08/9.39 ! [X24 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X24)) = aa(set(nat),set(nat),insert(nat,X24),set_ord_lessThan(nat,X24))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3419_lessThan__Suc)).
% 58.08/9.39 tff(f108847,plain,(
% 58.08/9.39 spl5880_4904),
% 58.08/9.39 inference(avatar_split_clause,[],[f69953,f108845])).
% 58.08/9.39 tff(f108845,plain,(
% 58.08/9.39 spl5880_4904 <=> ! [X0 : nat] : im(imaginary_unit) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_atMost(nat,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4904])])).
% 58.08/9.39 tff(f69953,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (im(imaginary_unit) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_atMost(nat,X0))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f69952,f50004])).
% 58.08/9.39 tff(f69952,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (one_one(real) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_atMost(nat,X0))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50372,f50271])).
% 58.08/9.39 tff(f50372,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (one_one(real) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_lessThan(nat,aa(nat,nat,suc,X0)))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22899])).
% 58.08/9.39 tff(f22899,plain,(
% 58.08/9.39 ! [X0 : nat] : one_one(real) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_lessThan(nat,aa(nat,nat,suc,X0)))),
% 58.08/9.39 inference(rectify,[],[f3479])).
% 58.08/9.39 tff(f3479,axiom,(
% 58.08/9.39 ! [X8 : nat] : one_one(real) = aa(set(nat),real,groups7311177749621191930dd_sum(nat,real,aTP_Lamp_eh(nat,real)),set_ord_lessThan(nat,aa(nat,nat,suc,X8)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3478_sumr__cos__zero__one)).
% 58.08/9.39 tff(f108842,plain,(
% 58.08/9.39 spl5880_4903),
% 58.08/9.39 inference(avatar_split_clause,[],[f69933,f108840])).
% 58.08/9.39 tff(f69933,plain,(
% 58.08/9.39 ( ! [X0 : num] : (lG696(aa(num,code_integer,code_positive,X0)) = aa(int,nat,nat2,aa(num,int,code_Target_positive,X0))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f69932,f69903])).
% 58.08/9.39 tff(f69932,plain,(
% 58.08/9.39 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(int,nat,nat2,aa(num,int,code_Target_positive,X0))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50351,f50021])).
% 58.08/9.39 tff(f50351,plain,(
% 58.08/9.39 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(int,nat,nat2,aa(num,int,numeral_numeral(int),X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22878])).
% 58.08/9.39 tff(f22878,plain,(
% 58.08/9.39 ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = aa(int,nat,nat2,aa(num,int,numeral_numeral(int),X0))),
% 58.08/9.39 inference(rectify,[],[f4636])).
% 58.08/9.39 tff(f4636,axiom,(
% 58.08/9.39 ! [X50 : num] : aa(num,nat,numeral_numeral(nat),X50) = aa(int,nat,nat2,aa(num,int,numeral_numeral(int),X50))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4635_nat__numeral__as__int)).
% 58.08/9.39 tff(f108838,plain,(
% 58.08/9.39 spl5880_4902),
% 58.08/9.39 inference(avatar_split_clause,[],[f69927,f108836])).
% 58.08/9.39 tff(f108836,plain,(
% 58.08/9.39 spl5880_4902 <=> ! [X0 : real] : aa(real,real,ln_ln(real),X0) = aa(real,real,log(exp(real,im(imaginary_unit))),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4902])])).
% 58.08/9.39 tff(f69927,plain,(
% 58.08/9.39 ( ! [X0 : real] : (aa(real,real,ln_ln(real),X0) = aa(real,real,log(exp(real,im(imaginary_unit))),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50339,f50004])).
% 58.08/9.39 tff(f50339,plain,(
% 58.08/9.39 ( ! [X0 : real] : (aa(real,real,ln_ln(real),X0) = aa(real,real,log(exp(real,one_one(real))),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22866])).
% 58.08/9.39 tff(f22866,plain,(
% 58.08/9.39 ! [X0 : real] : aa(real,real,ln_ln(real),X0) = aa(real,real,log(exp(real,one_one(real))),X0)),
% 58.08/9.39 inference(rectify,[],[f3201])).
% 58.08/9.39 tff(f3201,axiom,(
% 58.08/9.39 ! [X9 : real] : aa(real,real,ln_ln(real),X9) = aa(real,real,log(exp(real,one_one(real))),X9)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3200_log__ln)).
% 58.08/9.39 tff(f108834,plain,(
% 58.08/9.39 spl5880_4901 | ~spl5880_4145 | ~spl5880_4891),
% 58.08/9.39 inference(avatar_split_clause,[],[f108783,f108779,f103044,f108831])).
% 58.08/9.39 tff(f108831,plain,(
% 58.08/9.39 spl5880_4901 <=> iG984(one_one(int),iG271)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4901])])).
% 58.08/9.39 tff(f108779,plain,(
% 58.08/9.39 spl5880_4891 <=> iG984(one_one(int),iG714($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4891])])).
% 58.08/9.39 tff(f108783,plain,(
% 58.08/9.39 iG984(one_one(int),iG271) | (~spl5880_4145 | ~spl5880_4891)),
% 58.08/9.39 inference(forward_demodulation,[],[f108781,f103045])).
% 58.08/9.39 tff(f108781,plain,(
% 58.08/9.39 iG984(one_one(int),iG714($true)) | ~spl5880_4891),
% 58.08/9.39 inference(avatar_component_clause,[],[f108779])).
% 58.08/9.39 tff(f108828,plain,(
% 58.08/9.39 spl5880_4900),
% 58.08/9.39 inference(avatar_split_clause,[],[f69921,f108826])).
% 58.08/9.39 tff(f69921,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,iG894($true)))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f65787,f67338])).
% 58.08/9.39 tff(f65787,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),iG638(X0,zero_zero(nat)))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f50333,f57184])).
% 58.08/9.39 tff(f50333,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22861])).
% 58.08/9.39 tff(f22861,plain,(
% 58.08/9.39 ! [X0 : nat] : set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X0))),
% 58.08/9.39 inference(rectify,[],[f7897])).
% 58.08/9.39 tff(f7897,axiom,(
% 58.08/9.39 ! [X8 : nat] : set_ord_lessThan(nat,X8) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X8))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7896_atLeast__upt)).
% 58.08/9.39 tff(f108823,plain,(
% 58.08/9.39 spl5880_4899),
% 58.08/9.39 inference(avatar_split_clause,[],[f69919,f108821])).
% 58.08/9.39 tff(f69919,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),iG894($true)),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50330,f67338])).
% 58.08/9.39 tff(f50330,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22858])).
% 58.08/9.39 tff(f22858,plain,(
% 58.08/9.39 ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X0)),
% 58.08/9.39 inference(rectify,[],[f896])).
% 58.08/9.39 tff(f896,axiom,(
% 58.08/9.39 ! [X8 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_895_diff__0__eq__0)).
% 58.08/9.39 tff(f108818,plain,(
% 58.08/9.39 spl5880_4898),
% 58.08/9.39 inference(avatar_split_clause,[],[f69918,f108816])).
% 58.08/9.39 tff(f69918,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG894($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50329,f67338])).
% 58.08/9.39 tff(f50329,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),zero_zero(nat))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22857])).
% 58.08/9.39 tff(f22857,plain,(
% 58.08/9.39 ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),zero_zero(nat))),
% 58.08/9.39 inference(rectify,[],[f893])).
% 58.08/9.39 tff(f893,axiom,(
% 58.08/9.39 ! [X15 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X15),zero_zero(nat))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_892_mult__0__right)).
% 58.08/9.39 tff(f108814,plain,(
% 58.08/9.39 spl5880_4897),
% 58.08/9.39 inference(avatar_split_clause,[],[f69917,f108812])).
% 58.08/9.39 tff(f108812,plain,(
% 58.08/9.39 spl5880_4897 <=> ! [X0 : extended_enat] : bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),bot_bot(extended_enat)),X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4897])])).
% 58.08/9.39 tff(f69917,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat] : (bot_bot(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),bot_bot(extended_enat)),X0)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f50324,f50006])).
% 58.08/9.39 tff(f50324,plain,(
% 58.08/9.39 ( ! [X0 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),zero_zero(extended_enat)),X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22852])).
% 58.08/9.39 tff(f22852,plain,(
% 58.08/9.39 ! [X0 : extended_enat] : zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),zero_zero(extended_enat)),X0)),
% 58.08/9.39 inference(rectify,[],[f1570])).
% 58.08/9.39 tff(f1570,axiom,(
% 58.08/9.39 ! [X8 : extended_enat] : zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),zero_zero(extended_enat)),X8)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1569_idiff__0)).
% 58.08/9.39 tff(f108810,plain,(
% 58.08/9.39 spl5880_4896 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4895),
% 58.08/9.39 inference(avatar_split_clause,[],[f108805,f108800,f103044,f86300,f108807])).
% 58.08/9.39 tff(f108800,plain,(
% 58.08/9.39 spl5880_4895 <=> aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG1228($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4895])])).
% 58.08/9.39 tff(f108805,plain,(
% 58.08/9.39 aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG271) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4895)),
% 58.08/9.39 inference(forward_demodulation,[],[f108804,f103045])).
% 58.08/9.39 tff(f108804,plain,(
% 58.08/9.39 aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG714($true)) | (~spl5880_1536 | ~spl5880_4895)),
% 58.08/9.39 inference(forward_demodulation,[],[f108802,f86302])).
% 58.08/9.39 tff(f108802,plain,(
% 58.08/9.39 aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG1228($true)) | ~spl5880_4895),
% 58.08/9.39 inference(avatar_component_clause,[],[f108800])).
% 58.08/9.39 tff(f108803,plain,(
% 58.08/9.39 spl5880_4895),
% 58.08/9.39 inference(avatar_split_clause,[],[f69776,f108800])).
% 58.08/9.39 tff(f69776,plain,(
% 58.08/9.39 aa(set($o),nat,finite_card($o),top_top(set($o))) = aa(nat,nat,suc,iG1228($true))),
% 58.08/9.39 inference(forward_demodulation,[],[f50088,f69765])).
% 58.08/9.39 tff(f50088,plain,(
% 58.08/9.39 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set($o),nat,finite_card($o),top_top(set($o)))),
% 58.08/9.39 inference(cnf_transformation,[],[f5992])).
% 58.08/9.39 tff(f5992,axiom,(
% 58.08/9.39 aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set($o),nat,finite_card($o),top_top(set($o)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5991_card__UNIV__bool)).
% 58.08/9.39 tff(f108797,plain,(
% 58.08/9.39 spl5880_4894),
% 58.08/9.39 inference(avatar_split_clause,[],[f69558,f108795])).
% 58.08/9.39 tff(f69558,plain,(
% 58.08/9.39 ( ! [X2 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),iG894($true)),X2)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f67483,f67338])).
% 58.08/9.39 tff(f67483,plain,(
% 58.08/9.39 ( ! [X2 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),zero_zero(nat)),X2)) )),
% 58.08/9.39 inference(equality_resolution,[],[f65605])).
% 58.08/9.39 tff(f65605,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),X2) | zero_zero(nat) != X3) )),
% 58.08/9.39 inference(definition_unfolding,[],[f48381,f57217])).
% 58.08/9.39 tff(f57217,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) = iG685(X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f14726])).
% 58.08/9.39 tff(f14726,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) = iG685(X1,X0)),
% 58.08/9.39 inference(fool_elimination,[],[f14724,f14725])).
% 58.08/9.39 tff(f14725,plain,(
% 58.08/9.39 ! [X1 : nat,X0 : nat] : (~(zero_zero(nat) = X1 | zero_zero(nat) = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG685(X1,X0)) & ! [X1 : nat,X0 : nat] : ((zero_zero(nat) = X1 | zero_zero(nat) = X0) => zero_zero(nat) = iG685(X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG685])])).
% 58.08/9.39 tff(f14724,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) = $ite(zero_zero(nat) = X1 | zero_zero(nat) = X0, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 58.08/9.39 inference(rectify,[],[f2710])).
% 58.08/9.39 tff(f2710,axiom,(
% 58.08/9.39 ! [X15 : nat,X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X15),X8) = $ite(zero_zero(nat) = X8 | zero_zero(nat) = X15, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2709_and__nat__unfold)).
% 58.08/9.39 tff(f48381,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG685(X2,X3) | zero_zero(nat) != X3) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27862])).
% 58.08/9.39 tff(f27862,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG685(X0,X1) | zero_zero(nat) = X0 | zero_zero(nat) = X1) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG685(X2,X3) | (zero_zero(nat) != X2 & zero_zero(nat) != X3))),
% 58.08/9.39 inference(flattening,[],[f27861])).
% 58.08/9.39 tff(f27861,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG685(X0,X1) | (zero_zero(nat) = X0 | zero_zero(nat) = X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG685(X2,X3) | (zero_zero(nat) != X2 & zero_zero(nat) != X3))),
% 58.08/9.39 inference(ennf_transformation,[],[f22085])).
% 58.08/9.39 tff(f22085,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (~(zero_zero(nat) = X0 | zero_zero(nat) = X1) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG685(X0,X1)) & ! [X2 : nat,X3 : nat] : ((zero_zero(nat) = X2 | zero_zero(nat) = X3) => zero_zero(nat) = iG685(X2,X3))),
% 58.08/9.39 inference(rectify,[],[f14725])).
% 58.08/9.39 tff(f108792,plain,(
% 58.08/9.39 spl5880_4893),
% 58.08/9.39 inference(avatar_split_clause,[],[f69557,f108790])).
% 58.08/9.39 tff(f69557,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),iG894($true))) )),
% 58.08/9.39 inference(forward_demodulation,[],[f67482,f67338])).
% 58.08/9.39 tff(f67482,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),zero_zero(nat))) )),
% 58.08/9.39 inference(equality_resolution,[],[f65604])).
% 58.08/9.39 tff(f65604,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X3),X2) | zero_zero(nat) != X2) )),
% 58.08/9.39 inference(definition_unfolding,[],[f48382,f57217])).
% 58.08/9.39 tff(f48382,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG685(X2,X3) | zero_zero(nat) != X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27862])).
% 58.08/9.39 tff(f108787,plain,(
% 58.08/9.39 spl5880_4892),
% 58.08/9.39 inference(avatar_split_clause,[],[f69551,f108785])).
% 58.08/9.39 tff(f69551,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (iG894($true) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG894($true)),X3)) )),
% 58.08/9.39 inference(forward_demodulation,[],[f67480,f67338])).
% 58.08/9.39 tff(f67480,plain,(
% 58.08/9.39 ( ! [X3 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X3)) )),
% 58.08/9.39 inference(equality_resolution,[],[f65600])).
% 58.08/9.39 tff(f65600,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3) | zero_zero(nat) != X2) )),
% 58.08/9.39 inference(definition_unfolding,[],[f48374,f57220])).
% 58.08/9.39 tff(f57220,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1) = iG688(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f14735])).
% 58.08/9.39 tff(f14735,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1) = iG688(X0,X1)),
% 58.08/9.39 inference(fool_elimination,[],[f14733,f14734])).
% 58.08/9.39 tff(f14734,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG688(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => zero_zero(nat) = iG688(X0,X1))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG688])])).
% 58.08/9.39 tff(f14733,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1) = $ite(zero_zero(nat) = X0, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)))),
% 58.08/9.39 inference(rectify,[],[f1461])).
% 58.08/9.39 tff(f1461,axiom,(
% 58.08/9.39 ! [X15 : nat,X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X15),X8) = $ite(zero_zero(nat) = X15, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),one_one(nat))),X8)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1460_mult__eq__if)).
% 58.08/9.39 tff(f48374,plain,(
% 58.08/9.39 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG688(X2,X3) | zero_zero(nat) != X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27859])).
% 58.08/9.39 tff(f27859,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG688(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG688(X2,X3) | zero_zero(nat) != X2)),
% 58.08/9.39 inference(ennf_transformation,[],[f22081])).
% 58.08/9.39 tff(f22081,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG688(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG688(X2,X3))),
% 58.08/9.39 inference(flattening,[],[f22080])).
% 58.08/9.39 tff(f22080,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG688(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG688(X2,X3))),
% 58.08/9.39 inference(rectify,[],[f14734])).
% 58.08/9.39 tff(f108782,plain,(
% 58.08/9.39 spl5880_4891 | ~spl5880_2365 | ~spl5880_3126),
% 58.08/9.39 inference(avatar_split_clause,[],[f96411,f96314,f90477,f108779])).
% 58.08/9.39 tff(f96411,plain,(
% 58.08/9.39 iG984(one_one(int),iG714($true)) | (~spl5880_2365 | ~spl5880_3126)),
% 58.08/9.39 inference(superposition,[],[f90478,f96316])).
% 58.08/9.39 tff(f108776,plain,(
% 58.08/9.39 spl5880_4890),
% 58.08/9.39 inference(avatar_split_clause,[],[f69185,f108774])).
% 58.08/9.39 tff(f69185,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1826(X6,X5)) | iG1828(X5,X6,X7,X8,X9) = X9) )),
% 58.08/9.39 inference(forward_demodulation,[],[f65061,f65054])).
% 58.08/9.39 tff(f65061,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1828(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1842(lG1826(X6,X5))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f46131,f65013])).
% 58.08/9.39 tff(f65013,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1827(X0,X1) = lG1842(lG1826(X0,X1))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f46133,f46107])).
% 58.08/9.39 tff(f46133,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_maxt(lG1826(X0,X1)) = lG1827(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f20508])).
% 58.08/9.39 tff(f20508,plain,(
% 58.08/9.39 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_maxt(lG1826(X0,X1)) = lG1827(X0,X1)),
% 58.08/9.39 inference(rectify,[],[f20399])).
% 58.08/9.39 tff(f20399,plain,(
% 58.08/9.39 ! [X9 : vEBT_VEBT,X4 : nat] : vEBT_vebt_maxt(lG1826(X9,X4)) = lG1827(X9,X4)),
% 58.08/9.39 introduced(fool_let_definition,[new_symbols(definition,[lG1827])])).
% 58.08/9.39 tff(f46131,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1828(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1827(X6,X5)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27315])).
% 58.08/9.39 tff(f27315,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))))) = iG1828(X0,X1,X2,X3,X4) | none(nat) = lG1827(X1,X0)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (iG1828(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1827(X6,X5))),
% 58.08/9.39 inference(ennf_transformation,[],[f20507])).
% 58.08/9.39 tff(f20507,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (none(nat) != lG1827(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))))) = iG1828(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (none(nat) = lG1827(X6,X5) => iG1828(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(flattening,[],[f20506])).
% 58.08/9.39 tff(f20506,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~none(nat) = lG1827(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1827(X1,X0)))))) = iG1828(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (none(nat) = lG1827(X6,X5) => iG1828(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(rectify,[],[f20400])).
% 58.08/9.39 tff(f20400,plain,(
% 58.08/9.39 ! [X4 : nat,X9 : vEBT_VEBT,X8 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~none(nat) = lG1827(X9,X4) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1827(X9,X4)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),lG1827(X9,X4)))))) = iG1828(X4,X9,X8,X3,X0)) & ! [X4 : nat,X9 : vEBT_VEBT,X8 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (none(nat) = lG1827(X9,X4) => iG1828(X4,X9,X8,X3,X0) = X0)),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1828])])).
% 58.08/9.39 tff(f108771,plain,(
% 58.08/9.39 spl5880_4889),
% 58.08/9.39 inference(avatar_split_clause,[],[f69180,f108769])).
% 58.08/9.39 tff(f69180,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (none(nat) != lG1839(lG1832(X6,X5)) | iG1834(X5,X6,X7,X8,X9) = X9) )),
% 58.08/9.39 inference(forward_demodulation,[],[f65058,f65054])).
% 58.08/9.39 tff(f65058,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1834(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1842(lG1832(X6,X5))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f46121,f65045])).
% 58.08/9.39 tff(f65045,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1833(X0,X1) = lG1842(lG1832(X0,X1))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f46123,f46107])).
% 58.08/9.39 tff(f46123,plain,(
% 58.08/9.39 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_maxt(lG1832(X0,X1)) = lG1833(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f20498])).
% 58.08/9.39 tff(f20498,plain,(
% 58.08/9.39 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_maxt(lG1832(X0,X1)) = lG1833(X0,X1)),
% 58.08/9.39 inference(rectify,[],[f20409])).
% 58.08/9.39 tff(f20409,plain,(
% 58.08/9.39 ! [X6 : vEBT_VEBT,X5 : nat] : vEBT_vebt_maxt(lG1832(X6,X5)) = lG1833(X6,X5)),
% 58.08/9.39 introduced(fool_let_definition,[new_symbols(definition,[lG1833])])).
% 58.08/9.39 tff(f46121,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : vEBT_VEBT,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1834(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1833(X6,X5)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27311])).
% 58.08/9.39 tff(f27311,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))))) = iG1834(X0,X1,X2,X3,X4) | none(nat) = lG1833(X1,X0)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (iG1834(X5,X6,X7,X8,X9) = X9 | none(nat) != lG1833(X6,X5))),
% 58.08/9.39 inference(ennf_transformation,[],[f20497])).
% 58.08/9.39 tff(f20497,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (none(nat) != lG1833(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))))) = iG1834(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (none(nat) = lG1833(X6,X5) => iG1834(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(flattening,[],[f20496])).
% 58.08/9.39 tff(f20496,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~none(nat) = lG1833(X1,X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),aa(option(nat),nat,the2(nat),lG1833(X1,X0)))))) = iG1834(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (none(nat) = lG1833(X6,X5) => iG1834(X5,X6,X7,X8,X9) = X9)),
% 58.08/9.39 inference(rectify,[],[f20410])).
% 58.08/9.39 tff(f20410,plain,(
% 58.08/9.39 ! [X5 : nat,X6 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~none(nat) = lG1833(X6,X5) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1833(X6,X5)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),aa(option(nat),nat,the2(nat),lG1833(X6,X5)))))) = iG1834(X5,X6,X10,X3,X4)) & ! [X5 : nat,X6 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (none(nat) = lG1833(X6,X5) => iG1834(X5,X6,X10,X3,X4) = X4)),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1834])])).
% 58.08/9.39 tff(f108767,plain,(
% 58.08/9.39 spl5880_4888),
% 58.08/9.39 inference(avatar_split_clause,[],[f68906,f108765])).
% 58.08/9.39 tff(f108765,plain,(
% 58.08/9.39 spl5880_4888 <=> ! [X1 : $tType,X3 : set(product_prod(X1,X1)),X4 : X1,X5 : list(X1),X2 : list(X1)] : sP2457(X1,append(X1,X2,aa(list(X1),list(X1),cons(X1,X4),X5)),X2,X3)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4888])])).
% 58.08/9.39 tff(f68906,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : list(X1),X3 : set(product_prod(X1,X1)),X4 : X1,X5 : list(X1)] : (sP2457(X1,append(X1,X2,aa(list(X1),list(X1),cons(X1,X4),X5)),X2,X3)) )),
% 58.08/9.39 inference(equality_resolution,[],[f63566])).
% 58.08/9.39 tff(f63566,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : list(X1),X3 : set(product_prod(X1,X1)),X0 : list(X1),X4 : X1,X5 : list(X1)] : (sP2457(X1,X0,X2,X3) | append(X1,X2,aa(list(X1),list(X1),cons(X1,X4),X5)) != X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45363])).
% 58.08/9.39 tff(f45363,plain,(
% 58.08/9.39 ! [X0 : list(X1),X1 : $tType,X2 : list(X1),X3 : set(product_prod(X1,X1))] : ((sP2457(X1,X0,X2,X3) | ! [X4 : X1,X5 : list(X1)] : (! [X6 : list(X1),X7 : X1,X8 : X1,X9 : list(X1),X10 : list(X1)] : (append(X1,X6,aa(list(X1),list(X1),cons(X1,X8),X10)) != X0 | append(X1,X6,aa(list(X1),list(X1),cons(X1,X7),X9)) != X2 | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),X3)) & append(X1,X2,aa(list(X1),list(X1),cons(X1,X4),X5)) != X0)) & (((append(X1,sK5519(X1,X0,X2,X3),aa(list(X1),list(X1),cons(X1,sK5521(X1,X0,X2,X3)),sK5523(X1,X0,X2,X3))) = X0 & append(X1,sK5519(X1,X0,X2,X3),aa(list(X1),list(X1),cons(X1,sK5520(X1,X0,X2,X3)),sK5522(X1,X0,X2,X3))) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5520(X1,X0,X2,X3)),sK5521(X1,X0,X2,X3)),X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,sK5517(X1,X0,X2,X3)),sK5518(X1,X0,X2,X3))) = X0) | ~sP2457(X1,X0,X2,X3)))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5517,sK5518,sK5519,sK5520,sK5521,sK5522,sK5523])],[f45360,f45362,f45361])).
% 58.08/9.39 tff(f45361,plain,(
% 58.08/9.39 ! [X1 : $tType,X0 : list(X1),X2 : list(X1),X3 : set(product_prod(X1,X1))] : (? [X11 : X1,X12 : list(X1)] : (? [X13 : list(X1),X14 : X1,X15 : X1,X16 : list(X1),X17 : list(X1)] : (append(X1,X13,aa(list(X1),list(X1),cons(X1,X15),X17)) = X0 & append(X1,X13,aa(list(X1),list(X1),cons(X1,X14),X16)) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X14),X15),X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,X11),X12)) = X0) => (? [X13 : list(X1),X14 : X1,X15 : X1,X16 : list(X1),X17 : list(X1)] : (append(X1,X13,aa(list(X1),list(X1),cons(X1,X15),X17)) = X0 & append(X1,X13,aa(list(X1),list(X1),cons(X1,X14),X16)) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X14),X15),X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,sK5517(X1,X0,X2,X3)),sK5518(X1,X0,X2,X3))) = X0))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45362,plain,(
% 58.08/9.39 ! [X1 : $tType,X0 : list(X1),X2 : list(X1),X3 : set(product_prod(X1,X1))] : (? [X13 : list(X1),X14 : X1,X15 : X1,X16 : list(X1),X17 : list(X1)] : (append(X1,X13,aa(list(X1),list(X1),cons(X1,X15),X17)) = X0 & append(X1,X13,aa(list(X1),list(X1),cons(X1,X14),X16)) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X14),X15),X3)) => (append(X1,sK5519(X1,X0,X2,X3),aa(list(X1),list(X1),cons(X1,sK5521(X1,X0,X2,X3)),sK5523(X1,X0,X2,X3))) = X0 & append(X1,sK5519(X1,X0,X2,X3),aa(list(X1),list(X1),cons(X1,sK5520(X1,X0,X2,X3)),sK5522(X1,X0,X2,X3))) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5520(X1,X0,X2,X3)),sK5521(X1,X0,X2,X3)),X3)))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45360,plain,(
% 58.08/9.39 ! [X0 : list(X1),X1 : $tType,X2 : list(X1),X3 : set(product_prod(X1,X1))] : ((sP2457(X1,X0,X2,X3) | ! [X4 : X1,X5 : list(X1)] : (! [X6 : list(X1),X7 : X1,X8 : X1,X9 : list(X1),X10 : list(X1)] : (append(X1,X6,aa(list(X1),list(X1),cons(X1,X8),X10)) != X0 | append(X1,X6,aa(list(X1),list(X1),cons(X1,X7),X9)) != X2 | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),X3)) & append(X1,X2,aa(list(X1),list(X1),cons(X1,X4),X5)) != X0)) & (? [X11 : X1,X12 : list(X1)] : (? [X13 : list(X1),X14 : X1,X15 : X1,X16 : list(X1),X17 : list(X1)] : (append(X1,X13,aa(list(X1),list(X1),cons(X1,X15),X17)) = X0 & append(X1,X13,aa(list(X1),list(X1),cons(X1,X14),X16)) = X2 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X14),X15),X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,X11),X12)) = X0) | ~sP2457(X1,X0,X2,X3)))),
% 58.08/9.39 inference(rectify,[],[f45359])).
% 58.08/9.39 tff(f45359,plain,(
% 58.08/9.39 ! [X3 : list(X0),X0 : $tType,X2 : list(X0),X1 : set(product_prod(X0,X0))] : ((sP2457(X0,X3,X2,X1) | ! [X4 : X0,X5 : list(X0)] : (! [X6 : list(X0),X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (append(X0,X6,aa(list(X0),list(X0),cons(X0,X8),X10)) != X3 | append(X0,X6,aa(list(X0),list(X0),cons(X0,X7),X9)) != X2 | ~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X1)) & append(X0,X2,aa(list(X0),list(X0),cons(X0,X4),X5)) != X3)) & (? [X4 : X0,X5 : list(X0)] : (? [X6 : list(X0),X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (append(X0,X6,aa(list(X0),list(X0),cons(X0,X8),X10)) = X3 & append(X0,X6,aa(list(X0),list(X0),cons(X0,X7),X9)) = X2 & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X1)) | append(X0,X2,aa(list(X0),list(X0),cons(X0,X4),X5)) = X3) | ~sP2457(X0,X3,X2,X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37848])).
% 58.08/9.39 tff(f37848,plain,(
% 58.08/9.39 ! [X3 : list(X0),X0 : $tType,X2 : list(X0),X1 : set(product_prod(X0,X0))] : (sP2457(X0,X3,X2,X1) <=> ? [X4 : X0,X5 : list(X0)] : (? [X6 : list(X0),X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (append(X0,X6,aa(list(X0),list(X0),cons(X0,X8),X10)) = X3 & append(X0,X6,aa(list(X0),list(X0),cons(X0,X7),X9)) = X2 & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X8),X1)) | append(X0,X2,aa(list(X0),list(X0),cons(X0,X4),X5)) = X3))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2457])])).
% 58.08/9.39 tff(f108763,plain,(
% 58.08/9.39 spl5880_4887),
% 58.08/9.39 inference(avatar_split_clause,[],[f68611,f108761])).
% 58.08/9.39 tff(f108761,plain,(
% 58.08/9.39 spl5880_4887 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (sK4982(X0,$true,X2) = X0 | sK4981(X0,$true,X2) = X0 | ~sP2341(X0,$true,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4887])])).
% 58.08/9.39 tff(f68611,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat] : (sK4982(X0,$true,X2) = X0 | sK4981(X0,$true,X2) = X0 | ~sP2341(X0,$true,X2)) )),
% 58.08/9.39 inference(equality_resolution,[],[f61432])).
% 58.08/9.39 tff(f61432,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sK4982(X0,X1,X2) = X0 | sK4981(X0,X1,X2) = X0 | ($true != X1) | ~sP2341(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43949])).
% 58.08/9.39 tff(f43949,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((sK4982(X0,X1,X2) = X0 | sK4981(X0,X1,X2) = X0 | ($true != X1)) & ((sK4982(X0,X1,X2) != X0 & sK4981(X0,X1,X2) != X0) | ($true = 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),sK4981(X0,X1,X2)),sK4982(X0,X1,X2))),zero_zero(nat),sK4983(X0,X1,X2),sK4984(X0,X1,X2)) = X2) | ~sP2341(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4981,sK4982,sK4983,sK4984])],[f43946,f43948,f43947])).
% 58.08/9.39 tff(f43947,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat] : ((X0 = X4 | X0 = X3 | ($true != X1)) & ((X0 != X4 & X0 != X3) | ($true = X1)) & ? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),zero_zero(nat),X5,X6) = X2) => ((sK4982(X0,X1,X2) = X0 | sK4981(X0,X1,X2) = X0 | ($true != X1)) & ((sK4982(X0,X1,X2) != X0 & sK4981(X0,X1,X2) != X0) | ($true = X1)) & ? [X6 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4981(X0,X1,X2)),sK4982(X0,X1,X2))),zero_zero(nat),X5,X6) = X2))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43948,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X6 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4981(X0,X1,X2)),sK4982(X0,X1,X2))),zero_zero(nat),X5,X6) = X2 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4981(X0,X1,X2)),sK4982(X0,X1,X2))),zero_zero(nat),sK4983(X0,X1,X2),sK4984(X0,X1,X2)) = X2)),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43946,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat] : ((X0 = X4 | X0 = X3 | ($true != X1)) & ((X0 != X4 & X0 != X3) | ($true = X1)) & ? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),zero_zero(nat),X5,X6) = X2) | ~sP2341(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f43945])).
% 58.08/9.39 tff(f43945,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((X1 = X8 | X1 = X7 | ($true != X2)) & ((X1 != X8 & X1 != X7) | ($true = X2)) & ? [X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP2341(X1,X2,X0))),
% 58.08/9.39 inference(flattening,[],[f43944])).
% 58.08/9.39 tff(f43944,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((((X1 = X8 | X1 = X7) | ($true != X2)) & ((X1 != X8 & X1 != X7) | ($true = X2))) & ? [X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP2341(X1,X2,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37663])).
% 58.08/9.39 tff(f37663,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((($true = X2) <~> (X1 != X8 & X1 != X7)) & ? [X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP2341(X1,X2,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2341])])).
% 58.08/9.39 tff(f108759,plain,(
% 58.08/9.39 spl5880_4886),
% 58.08/9.39 inference(avatar_split_clause,[],[f68566,f108757])).
% 58.08/9.39 tff(f108757,plain,(
% 58.08/9.39 spl5880_4886 <=> ! [X0 : int,X1 : int] : aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = iG1459(X1,X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4886])])).
% 58.08/9.39 tff(f68566,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = iG1459(X1,X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f61158])).
% 58.08/9.39 tff(f61158,plain,(
% 58.08/9.39 ( ! [X2 : int,X0 : int,X1 : int] : (iG1459(X1,X0) = X2 | aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) != X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f35275])).
% 58.08/9.39 tff(f35275,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : (iG1459(X1,X0) = X2 | aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) != X2)),
% 58.08/9.39 inference(ennf_transformation,[],[f17896])).
% 58.08/9.39 tff(f17896,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X2 => iG1459(X1,X0) = X2)),
% 58.08/9.39 inference(fool_elimination,[],[f17892,f17895,f17894,f17893])).
% 58.08/9.39 tff(f17895,plain,(
% 58.08/9.39 ! [X1 : int,X0 : int] : (~(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG1458(X1,X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG1459(X1,X0)) & ! [X1 : int,X0 : int] : ((member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG1457(X1,X0))) = iG1459(X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1459])])).
% 58.08/9.39 tff(f17892,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X2 => X2 = $ite(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))), aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0))),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))))))),
% 58.08/9.39 inference(rectify,[],[f2579])).
% 58.08/9.39 tff(f2579,axiom,(
% 58.08/9.39 ! [X9 : int,X111 : int,X18 : int] : (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X9),X111) = X18 => X18 = $ite(member(int,X111,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X9,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))), aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X111) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X9))),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X111) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X9))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X9,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X111,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2578_and__int_Oelims)).
% 58.08/9.39 tff(f108755,plain,(
% 58.08/9.39 spl5880_4885),
% 58.08/9.39 inference(avatar_split_clause,[],[f68064,f108753])).
% 58.08/9.39 tff(f108753,plain,(
% 58.08/9.39 spl5880_4885 <=> ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~semilattice_sup(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4885])])).
% 58.08/9.39 tff(f68064,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~semilattice_sup(X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f55328])).
% 58.08/9.39 tff(f55328,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ~semilattice_sup(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40231])).
% 58.08/9.39 tff(f40231,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) != X2) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) | ~semilattice_sup(X0))),
% 58.08/9.39 inference(flattening,[],[f40230])).
% 58.08/9.39 tff(f40230,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | (X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) != X2)) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) | ~semilattice_sup(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f31933])).
% 58.08/9.39 tff(f31933,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2)) | ~semilattice_sup(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f13221])).
% 58.08/9.39 tff(f13221,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2)))),
% 58.08/9.39 inference(fool_elimination,[],[f13220])).
% 58.08/9.39 tff(f13220,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2)))),
% 58.08/9.39 inference(rectify,[],[f7224])).
% 58.08/9.39 tff(f7224,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_sup(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11) <=> (X11 != X12 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X11),X12) = X11)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7223_sup_Ostrict__order__iff)).
% 58.08/9.39 tff(f108751,plain,(
% 58.08/9.39 spl5880_4884),
% 58.08/9.39 inference(avatar_split_clause,[],[f68063,f108749])).
% 58.08/9.39 tff(f108749,plain,(
% 58.08/9.39 spl5880_4884 <=> ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~semilattice_inf(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4884])])).
% 58.08/9.39 tff(f68063,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~semilattice_inf(X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f55264])).
% 58.08/9.39 tff(f55264,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ~semilattice_inf(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40210])).
% 58.08/9.39 tff(f40210,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) != X1) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) | ~semilattice_inf(X0))),
% 58.08/9.39 inference(flattening,[],[f40209])).
% 58.08/9.39 tff(f40209,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | (X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) != X1)) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) | ~semilattice_inf(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f31875])).
% 58.08/9.39 tff(f31875,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1)) | ~semilattice_inf(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f13133])).
% 58.08/9.39 tff(f13133,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1)))),
% 58.08/9.39 inference(fool_elimination,[],[f13132])).
% 58.08/9.39 tff(f13132,plain,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1)))),
% 58.08/9.39 inference(rectify,[],[f6723])).
% 58.08/9.39 tff(f6723,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (semilattice_inf(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12) <=> (X11 != X12 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X11),X12) = X11)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6722_inf_Ostrict__order__iff)).
% 58.08/9.39 tff(f108747,plain,(
% 58.08/9.39 spl5880_4883),
% 58.08/9.39 inference(avatar_split_clause,[],[f68056,f108745])).
% 58.08/9.39 tff(f108745,plain,(
% 58.08/9.39 spl5880_4883 <=> ! [X0 : $tType,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X2)) | ~linorder(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4883])])).
% 58.08/9.39 tff(f68056,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X2)) | ~linorder(X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f55076])).
% 58.08/9.39 tff(f55076,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | ~linorder(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40109])).
% 58.08/9.39 tff(f40109,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | X1 = X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) & ((X1 != X2 & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)))) | ~linorder(X0))),
% 58.08/9.39 inference(flattening,[],[f40108])).
% 58.08/9.39 tff(f40108,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | (X1 = X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))) & ((X1 != X2 & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)))) | ~linorder(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f31752])).
% 58.08/9.39 tff(f31752,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) <=> (X1 != X2 & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))) | ~linorder(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24873])).
% 58.08/9.39 tff(f24873,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) <=> (X1 != X2 & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.08/9.39 inference(flattening,[],[f12961])).
% 58.08/9.39 tff(f12961,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) <=> (X1 != X2 & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.08/9.39 inference(fool_elimination,[],[f12960])).
% 58.08/9.39 tff(f12960,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2) <=> (X1 != X2 & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))),
% 58.08/9.39 inference(rectify,[],[f2064])).
% 58.08/9.39 tff(f2064,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X11 : X0,X12 : X0] : (~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12) <=> (X11 != X12 & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2063_nle__le)).
% 58.08/9.39 tff(f108743,plain,(
% 58.08/9.39 spl5880_4882),
% 58.08/9.39 inference(avatar_split_clause,[],[f68053,f108741])).
% 58.08/9.39 tff(f108741,plain,(
% 58.08/9.39 spl5880_4882 <=> ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~linorder(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4882])])).
% 58.08/9.39 tff(f68053,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X2)) | ~linorder(X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f55050])).
% 58.08/9.39 tff(f55050,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ~linorder(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f40086])).
% 58.08/9.39 tff(f40086,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 != X2 | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | X1 = X2)) | ~linorder(X0))),
% 58.08/9.39 inference(flattening,[],[f40085])).
% 58.08/9.39 tff(f40085,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 != X2 | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) & ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2))) | X1 = X2)) | ~linorder(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f31745])).
% 58.08/9.39 tff(f31745,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 != X2 <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))) | ~linorder(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f12949])).
% 58.08/9.39 tff(f12949,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (X1 != X2 <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)))))),
% 58.08/9.39 inference(fool_elimination,[],[f12948])).
% 58.08/9.39 tff(f12948,plain,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (X1 != X2 <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2))))),
% 58.08/9.39 inference(rectify,[],[f2108])).
% 58.08/9.39 tff(f2108,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (linorder(X0) => ! [X9 : X0,X18 : X0] : (X9 != X18 <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X18),X9) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X9),X18))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2107_linorder__neq__iff)).
% 58.08/9.39 tff(f108739,plain,(
% 58.08/9.39 spl5880_4881),
% 58.08/9.39 inference(avatar_split_clause,[],[f67956,f108737])).
% 58.08/9.39 tff(f108737,plain,(
% 58.08/9.39 spl5880_4881 <=> ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),X2)) | ~ring_1(X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4881])])).
% 58.08/9.39 tff(f67956,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),X2)) | ~ring_1(X0)) )),
% 58.08/9.39 inference(equality_resolution,[],[f54063])).
% 58.08/9.39 tff(f54063,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2)) | X1 != X2 | ~ring_1(X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f39736])).
% 58.08/9.39 tff(f39736,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 = X2 | ~ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))) & (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2)) | X1 != X2)) | ~ring_1(X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f30892])).
% 58.08/9.39 tff(f30892,plain,(
% 58.08/9.39 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))) | ~ring_1(X0))),
% 58.08/9.39 inference(ennf_transformation,[],[f24434])).
% 58.08/9.39 tff(f24434,plain,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : X0,X2 : X0] : (X1 = X2 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))))),
% 58.08/9.39 inference(rectify,[],[f7074])).
% 58.08/9.39 tff(f7074,axiom,(
% 58.08/9.39 ! [X0 : $tType] : (ring_1(X0) => ! [X9 : X0,X18 : X0] : (X9 = X18 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X9),X18))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7073_eq__iff__iszero__diff)).
% 58.08/9.39 tff(f108735,plain,(
% 58.08/9.39 spl5880_4880),
% 58.08/9.39 inference(avatar_split_clause,[],[f67489,f108733])).
% 58.08/9.39 tff(f108733,plain,(
% 58.08/9.39 spl5880_4880 <=> ! [X2 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),zero_zero(int)),X2)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4880])])).
% 58.08/9.39 tff(f67489,plain,(
% 58.08/9.39 ( ! [X2 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),zero_zero(int)),X2)) )),
% 58.08/9.39 inference(equality_resolution,[],[f65614])).
% 58.08/9.39 tff(f65614,plain,(
% 58.08/9.39 ( ! [X2 : int,X3 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X3),X2) | zero_zero(int) != X3) )),
% 58.08/9.39 inference(definition_unfolding,[],[f48406,f57209])).
% 58.08/9.39 tff(f57209,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = iG675(X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f14700])).
% 58.08/9.39 tff(f14700,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = iG675(X1,X0)),
% 58.08/9.39 inference(fool_elimination,[],[f14696,f14699,f14698,f14697])).
% 58.08/9.39 tff(f14697,plain,(
% 58.08/9.39 ! [X1 : int,X0 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG673(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => iG673(X1,X0) = X0)),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG673])])).
% 58.08/9.39 tff(f14698,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG673(X1,X0) = iG674(X0,X1)) & ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG674(X0,X1) = X1)),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG674])])).
% 58.08/9.39 tff(f14699,plain,(
% 58.08/9.39 ! [X1 : int,X0 : int] : (~(zero_zero(int) = X1 | zero_zero(int) = X0) => iG674(X0,X1) = iG675(X1,X0)) & ! [X1 : int,X0 : int] : ((zero_zero(int) = X1 | zero_zero(int) = X0) => zero_zero(int) = iG675(X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG675])])).
% 58.08/9.39 tff(f14696,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = $ite(zero_zero(int) = X1 | zero_zero(int) = X0, zero_zero(int),$ite(aa(int,int,uminus_uminus(int),one_one(int)) = X0, X1,$ite(aa(int,int,uminus_uminus(int),one_one(int)) = X1, X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))))))),
% 58.08/9.39 inference(rectify,[],[f2689])).
% 58.08/9.39 tff(f2689,axiom,(
% 58.08/9.39 ! [X24 : int,X14 : int] : aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X24),X14) = $ite(zero_zero(int) = X14 | zero_zero(int) = X24, zero_zero(int),$ite(aa(int,int,uminus_uminus(int),one_one(int)) = X24, X14,$ite(aa(int,int,uminus_uminus(int),one_one(int)) = X14, X24,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,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X14,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X14,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2688_and__int__unfold)).
% 58.08/9.39 tff(f48406,plain,(
% 58.08/9.39 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG675(X2,X3) | zero_zero(int) != X3) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27869])).
% 58.08/9.39 tff(f27869,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : (iG674(X1,X0) = iG675(X0,X1) | zero_zero(int) = X0 | zero_zero(int) = X1) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG675(X2,X3) | (zero_zero(int) != X2 & zero_zero(int) != X3))),
% 58.08/9.39 inference(flattening,[],[f27868])).
% 58.08/9.39 tff(f27868,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : (iG674(X1,X0) = iG675(X0,X1) | (zero_zero(int) = X0 | zero_zero(int) = X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG675(X2,X3) | (zero_zero(int) != X2 & zero_zero(int) != X3))),
% 58.08/9.39 inference(ennf_transformation,[],[f22100])).
% 58.08/9.39 tff(f22100,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : (~(zero_zero(int) = X0 | zero_zero(int) = X1) => iG674(X1,X0) = iG675(X0,X1)) & ! [X2 : int,X3 : int] : ((zero_zero(int) = X2 | zero_zero(int) = X3) => zero_zero(int) = iG675(X2,X3))),
% 58.08/9.39 inference(rectify,[],[f14699])).
% 58.08/9.39 tff(f108731,plain,(
% 58.08/9.39 spl5880_4879),
% 58.08/9.39 inference(avatar_split_clause,[],[f67488,f108729])).
% 58.08/9.39 tff(f108729,plain,(
% 58.08/9.39 spl5880_4879 <=> ! [X3 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X3),zero_zero(int))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4879])])).
% 58.08/9.39 tff(f67488,plain,(
% 58.08/9.39 ( ! [X3 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X3),zero_zero(int))) )),
% 58.08/9.39 inference(equality_resolution,[],[f65613])).
% 58.08/9.39 tff(f65613,plain,(
% 58.08/9.39 ( ! [X2 : int,X3 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X3),X2) | zero_zero(int) != X2) )),
% 58.08/9.39 inference(definition_unfolding,[],[f48407,f57209])).
% 58.08/9.39 tff(f48407,plain,(
% 58.08/9.39 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG675(X2,X3) | zero_zero(int) != X2) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27869])).
% 58.08/9.39 tff(f108727,plain,(
% 58.08/9.39 spl5880_4878),
% 58.08/9.39 inference(avatar_split_clause,[],[f66841,f108725])).
% 58.08/9.39 tff(f108725,plain,(
% 58.08/9.39 spl5880_4878 <=> ! [X9 : nat,X7 : list(vEBT_VEBT),X6 : nat,X8 : nat] : (iG1782(X6,X6,X7,X8,X9) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),sK2520(X7))))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4878])])).
% 58.08/9.39 tff(f66841,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT)] : (iG1782(X6,X6,X7,X8,X9) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),sK2520(X7)))) )),
% 58.08/9.39 inference(equality_resolution,[],[f46223])).
% 58.08/9.39 tff(f46223,plain,(
% 58.08/9.39 ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1782(X5,X6,X7,X8,X9) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2519(X7)),sK2520(X7))) | X5 != X6) )),
% 58.08/9.39 inference(cnf_transformation,[],[f37993])).
% 58.08/9.39 tff(f108723,plain,(
% 58.08/9.39 spl5880_4877),
% 58.08/9.39 inference(avatar_split_clause,[],[f66812,f108721])).
% 58.08/9.39 tff(f108721,plain,(
% 58.08/9.39 spl5880_4877 <=> ! [X10 : vEBT_VEBT,X11 : nat,X9 : nat,X13 : nat,X12 : list(vEBT_VEBT),X8 : nat] : iG1821(X9,X10,X11,X12,X13,X8) = iG1822(X8,X8,X9,X10,X11,X12,X13)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4877])])).
% 58.08/9.39 tff(f66812,plain,(
% 58.08/9.39 ( ! [X10 : vEBT_VEBT,X11 : nat,X8 : nat,X9 : nat,X12 : list(vEBT_VEBT),X13 : nat] : (iG1821(X9,X10,X11,X12,X13,X8) = iG1822(X8,X8,X9,X10,X11,X12,X13)) )),
% 58.08/9.39 inference(equality_resolution,[],[f46141])).
% 58.08/9.39 tff(f46141,plain,(
% 58.08/9.39 ( ! [X10 : vEBT_VEBT,X11 : nat,X8 : nat,X9 : nat,X7 : nat,X12 : list(vEBT_VEBT),X13 : nat] : (iG1821(X9,X10,X11,X12,X13,X7) = iG1822(X7,X8,X9,X10,X11,X12,X13) | X7 != X8) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27319])).
% 58.08/9.39 tff(f27319,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat] : (iG1822(X0,X1,X2,X3,X4,X5,X6) = X1 | X0 = X1) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : list(vEBT_VEBT),X13 : nat] : (iG1821(X9,X10,X11,X12,X13,X7) = iG1822(X7,X8,X9,X10,X11,X12,X13) | X7 != X8)),
% 58.08/9.39 inference(ennf_transformation,[],[f20517])).
% 58.08/9.39 tff(f20517,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat] : (X0 != X1 => iG1822(X0,X1,X2,X3,X4,X5,X6) = X1) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : list(vEBT_VEBT),X13 : nat] : (X7 = X8 => iG1821(X9,X10,X11,X12,X13,X7) = iG1822(X7,X8,X9,X10,X11,X12,X13))),
% 58.08/9.39 inference(flattening,[],[f20516])).
% 58.08/9.39 tff(f20516,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat,X5 : list(vEBT_VEBT),X6 : nat] : (~X0 = X1 => iG1822(X0,X1,X2,X3,X4,X5,X6) = X1) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : list(vEBT_VEBT),X13 : nat] : (X7 = X8 => iG1821(X9,X10,X11,X12,X13,X7) = iG1822(X7,X8,X9,X10,X11,X12,X13))),
% 58.08/9.39 inference(rectify,[],[f20386])).
% 58.08/9.39 tff(f20386,plain,(
% 58.08/9.39 ! [X4 : nat,X2 : nat,X5 : nat,X6 : vEBT_VEBT,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1822(X4,X2,X5,X6,X8,X7,X3) = X2) & ! [X4 : nat,X2 : nat,X5 : nat,X6 : vEBT_VEBT,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => iG1821(X5,X6,X8,X7,X3,X4) = iG1822(X4,X2,X5,X6,X8,X7,X3))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1822])])).
% 58.08/9.39 tff(f108718,plain,(
% 58.08/9.39 spl5880_4876),
% 58.08/9.39 inference(avatar_split_clause,[],[f65957,f108716])).
% 58.08/9.39 tff(f65957,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),iG636(X1,X0))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f56734,f57182])).
% 58.08/9.39 tff(f57182,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (upto(X0,X1) = iG636(X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f14609])).
% 58.08/9.39 tff(f14609,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : upto(X0,X1) = iG636(X1,X0)),
% 58.08/9.39 inference(fool_elimination,[],[f14607,f14608])).
% 58.08/9.39 tff(f14608,plain,(
% 58.08/9.39 ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG636(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG636(X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG636])])).
% 58.08/9.39 tff(f14607,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : upto(X0,X1) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1), aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)),nil(int))),
% 58.08/9.39 inference(rectify,[],[f6873])).
% 58.08/9.39 tff(f6873,axiom,(
% 58.08/9.39 ! [X25 : int,X40 : int] : upto(X25,X40) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X25),X40), aa(list(int),list(int),cons(int,X25),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X25),one_one(int)),X40)),nil(int))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6872_upto_Osimps)).
% 58.08/9.39 tff(f56734,plain,(
% 58.08/9.39 ( ! [X0 : int,X1 : int] : (set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),upto(X0,X1))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f25287])).
% 58.08/9.39 tff(f25287,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int] : set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),upto(X0,X1))),
% 58.08/9.39 inference(rectify,[],[f6869])).
% 58.08/9.39 tff(f6869,axiom,(
% 58.08/9.39 ! [X25 : int,X40 : int] : set_or1337092689740270186AtMost(int,X25,X40) = aa(list(int),set(int),set2(int),upto(X25,X40))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6868_atLeastAtMost__upto)).
% 58.08/9.39 tff(f108714,plain,(
% 58.08/9.39 spl5880_4875),
% 58.08/9.39 inference(avatar_split_clause,[],[f65956,f108712])).
% 58.08/9.39 tff(f108712,plain,(
% 58.08/9.39 spl5880_4875 <=> ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),iG638(X1,X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4875])])).
% 58.08/9.39 tff(f65956,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),iG638(X1,X0))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f56733,f57184])).
% 58.08/9.39 tff(f56733,plain,(
% 58.08/9.39 ( ! [X0 : nat,X1 : nat] : (set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(X0,X1))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f25286])).
% 58.08/9.39 tff(f25286,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(X0,X1))),
% 58.08/9.39 inference(rectify,[],[f7900])).
% 58.08/9.39 tff(f7900,axiom,(
% 58.08/9.39 ! [X25 : nat,X40 : nat] : set_or7035219750837199246ssThan(nat,X25,X40) = aa(list(nat),set(nat),set2(nat),upt(X25,X40))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7899_atLeastLessThan__upt)).
% 58.08/9.39 tff(f108710,plain,(
% 58.08/9.39 spl5880_4874),
% 58.08/9.39 inference(avatar_split_clause,[],[f65771,f108708])).
% 58.08/9.39 tff(f108708,plain,(
% 58.08/9.39 spl5880_4874 <=> ! [X0 : nat] : bot_bot(set(nat)) = aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(vEBT_vebt_buildup(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4874])])).
% 58.08/9.39 tff(f65771,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (bot_bot(set(nat)) = aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(vEBT_vebt_buildup(X0)))) )),
% 58.08/9.39 inference(definition_unfolding,[],[f50236,f50284])).
% 58.08/9.39 tff(f50236,plain,(
% 58.08/9.39 ( ! [X0 : nat] : (bot_bot(set(nat)) = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f22767])).
% 58.08/9.39 tff(f22767,plain,(
% 58.08/9.39 ! [X0 : nat] : bot_bot(set(nat)) = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0))),
% 58.08/9.39 inference(rectify,[],[f825])).
% 58.08/9.39 tff(f825,axiom,(
% 58.08/9.39 ! [X8 : nat] : bot_bot(set(nat)) = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X8))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_824_buildup__gives__empty)).
% 58.08/9.39 tff(f108706,plain,(
% 58.08/9.39 spl5880_4873),
% 58.08/9.39 inference(avatar_split_clause,[],[f65754,f108703])).
% 58.08/9.39 tff(f108703,plain,(
% 58.08/9.39 spl5880_4873 <=> divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = iG303(imaginary_unit)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4873])])).
% 58.08/9.39 tff(f108700,plain,(
% 58.08/9.39 spl5880_4872),
% 58.08/9.39 inference(avatar_split_clause,[],[f65483,f108698])).
% 58.08/9.39 tff(f65483,plain,(
% 58.08/9.39 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1032(X0,X1,X2) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X2),bG1027(X1)),X0) | zero_zero(nat) = X0) )),
% 58.08/9.39 inference(definition_unfolding,[],[f47648,f60276])).
% 58.08/9.39 tff(f60276,plain,(
% 58.08/9.39 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_vebt_insert(vEBT_Leaf(bG1026(X0),bG1027(X1)),X2) = iG1033(X2,X1,X0)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f17212])).
% 58.08/9.39 tff(f17212,plain,(
% 58.08/9.39 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_vebt_insert(vEBT_Leaf(bG1026(X0),bG1027(X1)),X2) = iG1033(X2,X1,X0)),
% 58.08/9.39 inference(fool_elimination,[],[f17203,f17211,f17210,f17209,f17208,f17207,f17206,f17205,f17204])).
% 58.08/9.39 tff(f17204,plain,(
% 58.08/9.39 ! [X0 : $o] : (($true = X0) <=> ($true = bG1026(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1026])])).
% 58.08/9.39 tff(f17205,plain,(
% 58.08/9.39 ! [X1 : $o] : (($true = X1) <=> ($true = bG1027(X1)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1027])])).
% 58.08/9.39 tff(f17206,plain,(
% 58.08/9.39 ! [X1 : $o] : (($true = X1) <=> ($true = bG1028(X1)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1028])])).
% 58.08/9.39 tff(f17207,plain,(
% 58.08/9.39 ! [X0 : $o] : (($true = X0) <=> ($true = bG1029(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1029])])).
% 58.08/9.39 tff(f17208,plain,(
% 58.08/9.39 ! [X0 : $o] : (($true = X0) <=> ($true = bG1030(X0)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1030])])).
% 58.08/9.39 tff(f17209,plain,(
% 58.08/9.39 ! [X1 : $o] : (($true = X1) <=> ($true = bG1031(X1)))),
% 58.08/9.39 introduced(fool_formula_definition,[new_symbols(definition,[bG1031])])).
% 58.08/9.39 tff(f17210,plain,(
% 58.08/9.39 ! [X2 : nat,X1 : $o,X0 : $o] : (~one_one(nat) = X2 => vEBT_Leaf(bG1030(X0),bG1031(X1)) = iG1032(X2,X1,X0)) & ! [X2 : nat,X1 : $o,X0 : $o] : (one_one(nat) = X2 => vEBT_Leaf(bG1029(X0),$true) = iG1032(X2,X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1032])])).
% 58.08/9.39 tff(f17211,plain,(
% 58.08/9.39 ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => iG1032(X2,X1,X0) = iG1033(X2,X1,X0)) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => vEBT_Leaf($true,bG1028(X1)) = iG1033(X2,X1,X0))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1033])])).
% 58.08/9.39 tff(f17203,plain,(
% 58.08/9.39 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_vebt_insert(vEBT_Leaf(X0,X1),X2) = $ite(zero_zero(nat) = X2, vEBT_Leaf($true,X1),$ite(one_one(nat) = X2, vEBT_Leaf(X0,$true),vEBT_Leaf(X0,X1)))),
% 58.08/9.39 inference(rectify,[],[f1063])).
% 58.08/9.39 tff(f1063,axiom,(
% 58.08/9.39 ! [X11 : $o,X12 : $o,X9 : nat] : vEBT_vebt_insert(vEBT_Leaf(X11,X12),X9) = $ite(zero_zero(nat) = X9, vEBT_Leaf($true,X12),$ite(one_one(nat) = X9, vEBT_Leaf(X11,$true),vEBT_Leaf(X11,X12)))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1062_vebt__insert_Osimps_I1_J)).
% 58.08/9.39 tff(f47648,plain,(
% 58.08/9.39 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1032(X0,X1,X2) = iG1033(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27713])).
% 58.08/9.39 tff(f27713,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1032(X0,X1,X2) = iG1033(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = iG1033(X3,X4,X5) | zero_zero(nat) != X3)),
% 58.08/9.39 inference(ennf_transformation,[],[f21597])).
% 58.08/9.39 tff(f21597,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG1032(X0,X1,X2) = iG1033(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1028(X4)) = iG1033(X3,X4,X5))),
% 58.08/9.39 inference(flattening,[],[f21596])).
% 58.08/9.39 tff(f21596,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG1032(X0,X1,X2) = iG1033(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1028(X4)) = iG1033(X3,X4,X5))),
% 58.08/9.39 inference(rectify,[],[f17211])).
% 58.08/9.39 tff(f108696,plain,(
% 58.08/9.39 spl5880_4871),
% 58.08/9.39 inference(avatar_split_clause,[],[f64829,f108693])).
% 58.08/9.39 tff(f108693,plain,(
% 58.08/9.39 spl5880_4871 <=> (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),zero_zero(int)) = $true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4871])])).
% 58.08/9.39 tff(f64829,plain,(
% 58.08/9.39 (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),zero_zero(int)) = $true)),
% 58.08/9.39 inference(cnf_transformation,[],[f20437])).
% 58.08/9.39 tff(f20437,plain,(
% 58.08/9.39 (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),zero_zero(int)) = $true)),
% 58.08/9.39 inference(fool_elimination,[],[f20436])).
% 58.08/9.39 tff(f20436,plain,(
% 58.08/9.39 aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),zero_zero(int))),
% 58.08/9.39 inference(rectify,[],[f1579])).
% 58.08/9.39 tff(f1579,axiom,(
% 58.08/9.39 aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),zero_zero(int))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1578_less__eq__int__code_I1_J)).
% 58.08/9.39 tff(f108691,plain,(
% 58.08/9.39 spl5880_4870 | ~spl5880_4145 | ~spl5880_4859),
% 58.08/9.39 inference(avatar_split_clause,[],[f108645,f108641,f103044,f108688])).
% 58.08/9.39 tff(f108688,plain,(
% 58.08/9.39 spl5880_4870 <=> one2 = num_of_nat(iG271)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4870])])).
% 58.08/9.39 tff(f108641,plain,(
% 58.08/9.39 spl5880_4859 <=> one2 = num_of_nat(iG714($true))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4859])])).
% 58.08/9.39 tff(f108645,plain,(
% 58.08/9.39 one2 = num_of_nat(iG271) | (~spl5880_4145 | ~spl5880_4859)),
% 58.08/9.39 inference(forward_demodulation,[],[f108643,f103045])).
% 58.08/9.39 tff(f108643,plain,(
% 58.08/9.39 one2 = num_of_nat(iG714($true)) | ~spl5880_4859),
% 58.08/9.39 inference(avatar_component_clause,[],[f108641])).
% 58.08/9.39 tff(f108686,plain,(
% 58.08/9.39 spl5880_4869),
% 58.08/9.39 inference(avatar_split_clause,[],[f64828,f108683])).
% 58.08/9.39 tff(f108683,plain,(
% 58.08/9.39 spl5880_4869 <=> (aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = $true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4869])])).
% 58.08/9.39 tff(f64828,plain,(
% 58.08/9.39 (aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = $true)),
% 58.08/9.39 inference(cnf_transformation,[],[f20435])).
% 58.08/9.39 tff(f20435,plain,(
% 58.08/9.39 (aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = $true)),
% 58.08/9.39 inference(fool_elimination,[],[f20434])).
% 58.08/9.39 tff(f20434,plain,(
% 58.08/9.39 aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),zero_zero(code_integer)),zero_zero(code_integer))),
% 58.08/9.39 inference(rectify,[],[f5346])).
% 58.08/9.39 tff(f5346,axiom,(
% 58.08/9.39 aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),zero_zero(code_integer)),zero_zero(code_integer))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5345_less__eq__integer__code_I1_J)).
% 58.08/9.39 tff(f108681,plain,(
% 58.08/9.39 spl5880_4868),
% 58.08/9.39 inference(avatar_split_clause,[],[f64658,f108679])).
% 58.08/9.39 tff(f108679,plain,(
% 58.08/9.39 spl5880_4868 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (member(vEBT_VEBT,sK5794(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ~sP2509(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4868])])).
% 58.08/9.39 tff(f64658,plain,(
% 58.08/9.39 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (member(vEBT_VEBT,sK5794(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ~sP2509(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45988])).
% 58.08/9.39 tff(f45988,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),sK5795(X0))) & member(vEBT_VEBT,sK5794(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2) | ~sP2509(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5794,sK5795])],[f45985,f45987,f45986])).
% 58.08/9.39 tff(f45986,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),X4)) & member(vEBT_VEBT,sK5794(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45987,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),X4)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),sK5795(X0))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45985,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2) | ~sP2509(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f45984])).
% 58.08/9.39 tff(f45984,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X5 = X6) | ~sP2509(X0,X6,X5))),
% 58.08/9.39 inference(nnf_transformation,[],[f37941])).
% 58.08/9.39 tff(f37941,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X5 = X6) | ~sP2509(X0,X6,X5))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2509])])).
% 58.08/9.39 tff(f108677,plain,(
% 58.08/9.39 spl5880_4867),
% 58.08/9.39 inference(avatar_split_clause,[],[f64643,f108675])).
% 58.08/9.39 tff(f108675,plain,(
% 58.08/9.39 spl5880_4867 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (member(vEBT_VEBT,sK5787(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ~sP2505(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4867])])).
% 58.08/9.39 tff(f64643,plain,(
% 58.08/9.39 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (member(vEBT_VEBT,sK5787(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ~sP2505(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45967])).
% 58.08/9.39 tff(f45967,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),sK5788(X0))) & member(vEBT_VEBT,sK5787(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2) | ~sP2505(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5787,sK5788])],[f45964,f45966,f45965])).
% 58.08/9.39 tff(f45965,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),X4)) & member(vEBT_VEBT,sK5787(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45966,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),X4)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),sK5788(X0))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45964,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2) | ~sP2505(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f45963])).
% 58.08/9.39 tff(f45963,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X5 = X6) | ~sP2505(X0,X6,X5))),
% 58.08/9.39 inference(nnf_transformation,[],[f37936])).
% 58.08/9.39 tff(f37936,plain,(
% 58.08/9.39 ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X5 = X6) | ~sP2505(X0,X6,X5))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2505])])).
% 58.08/9.39 tff(f108673,plain,(
% 58.08/9.39 spl5880_4866),
% 58.08/9.39 inference(avatar_split_clause,[],[f64382,f108671])).
% 58.08/9.39 tff(f108671,plain,(
% 58.08/9.39 spl5880_4866 <=> ! [X0 : fun(nat,real),X3 : real,X2 : real,X1 : fun(real,fun(nat,real))] : (member(real,sK5727(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) | ~sP2485(X0,X1,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4866])])).
% 58.08/9.39 tff(f64382,plain,(
% 58.08/9.39 ( ! [X2 : real,X3 : real,X0 : fun(nat,real),X1 : fun(real,fun(nat,real))] : (member(real,sK5727(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) | ~sP2485(X0,X1,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45816])).
% 58.08/9.39 tff(f45816,plain,(
% 58.08/9.39 ! [X0 : fun(nat,real),X1 : fun(real,fun(nat,real)),X2 : real,X3 : real] : ((($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X1,sK5726(X0,X1,X2,X3)),sK5725(X0,X1,X2,X3))),aa(nat,real,aa(real,fun(nat,real),X1,sK5727(X0,X1,X2,X3)),sK5725(X0,X1,X2,X3))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X0,sK5725(X0,X1,X2,X3))),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),sK5726(X0,X1,X2,X3)),sK5727(X0,X1,X2,X3)))))) & member(real,sK5727(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) & member(real,sK5726(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2))) | ~sP2485(X0,X1,X2,X3))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5725,sK5726,sK5727])],[f45814,f45815])).
% 58.08/9.39 tff(f45815,plain,(
% 58.08/9.39 ! [X0 : fun(nat,real),X1 : fun(real,fun(nat,real)),X2 : real,X3 : real] : (? [X4 : nat,X5 : real,X6 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X1,X5),X4)),aa(nat,real,aa(real,fun(nat,real),X1,X6),X4)))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X0,X4)),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),X5),X6))))) & member(real,X6,set_or5935395276787703475ssThan(real,X3,X2)) & member(real,X5,set_or5935395276787703475ssThan(real,X3,X2))) => (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X1,sK5726(X0,X1,X2,X3)),sK5725(X0,X1,X2,X3))),aa(nat,real,aa(real,fun(nat,real),X1,sK5727(X0,X1,X2,X3)),sK5725(X0,X1,X2,X3))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X0,sK5725(X0,X1,X2,X3))),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),sK5726(X0,X1,X2,X3)),sK5727(X0,X1,X2,X3)))))) & member(real,sK5727(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) & member(real,sK5726(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45814,plain,(
% 58.08/9.39 ! [X0 : fun(nat,real),X1 : fun(real,fun(nat,real)),X2 : real,X3 : real] : (? [X4 : nat,X5 : real,X6 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X1,X5),X4)),aa(nat,real,aa(real,fun(nat,real),X1,X6),X4)))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X0,X4)),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),X5),X6))))) & member(real,X6,set_or5935395276787703475ssThan(real,X3,X2)) & member(real,X5,set_or5935395276787703475ssThan(real,X3,X2))) | ~sP2485(X0,X1,X2,X3))),
% 58.08/9.39 inference(rectify,[],[f45813])).
% 58.08/9.39 tff(f45813,plain,(
% 58.08/9.39 ! [X5 : fun(nat,real),X0 : fun(real,fun(nat,real)),X4 : real,X3 : real] : (? [X8 : nat,X9 : real,X10 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X0,X9),X8)),aa(nat,real,aa(real,fun(nat,real),X0,X10),X8)))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X5,X8)),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),X9),X10))))) & member(real,X10,set_or5935395276787703475ssThan(real,X3,X4)) & member(real,X9,set_or5935395276787703475ssThan(real,X3,X4))) | ~sP2485(X5,X0,X4,X3))),
% 58.08/9.39 inference(nnf_transformation,[],[f37902])).
% 58.08/9.39 tff(f37902,plain,(
% 58.08/9.39 ! [X5 : fun(nat,real),X0 : fun(real,fun(nat,real)),X4 : real,X3 : real] : (? [X8 : nat,X9 : real,X10 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,aa(real,fun(nat,real),X0,X9),X8)),aa(nat,real,aa(real,fun(nat,real),X0,X10),X8)))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,X5,X8)),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),X9),X10))))) & member(real,X10,set_or5935395276787703475ssThan(real,X3,X4)) & member(real,X9,set_or5935395276787703475ssThan(real,X3,X4))) | ~sP2485(X5,X0,X4,X3))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2485])])).
% 58.08/9.39 tff(f108669,plain,(
% 58.08/9.39 spl5880_4865),
% 58.08/9.39 inference(avatar_split_clause,[],[f64381,f108667])).
% 58.08/9.39 tff(f108667,plain,(
% 58.08/9.39 spl5880_4865 <=> ! [X0 : fun(nat,real),X3 : real,X2 : real,X1 : fun(real,fun(nat,real))] : (member(real,sK5726(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) | ~sP2485(X0,X1,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4865])])).
% 58.08/9.39 tff(f64381,plain,(
% 58.08/9.39 ( ! [X2 : real,X3 : real,X0 : fun(nat,real),X1 : fun(real,fun(nat,real))] : (member(real,sK5726(X0,X1,X2,X3),set_or5935395276787703475ssThan(real,X3,X2)) | ~sP2485(X0,X1,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45816])).
% 58.08/9.39 tff(f108665,plain,(
% 58.08/9.39 spl5880_4864),
% 58.08/9.39 inference(avatar_split_clause,[],[f64040,f108663])).
% 58.08/9.39 tff(f108663,plain,(
% 58.08/9.39 spl5880_4864 <=> ! [X0 : $tType,X4 : list(X0),X3 : list(X0),X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,X4) | ~iG1598(X0,X3,X1,X4,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4864])])).
% 58.08/9.39 tff(f64040,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,X4) | ~iG1598(X0,X3,X1,X4,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45616])).
% 58.08/9.39 tff(f45616,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : ((append(X0,X1,X2) = append(X0,X3,X4) | ~iG1598(X0,X3,X1,X4,X2)) & (iG1598(X0,X3,X1,X4,X2) | append(X0,X1,X2) != append(X0,X3,X4)))),
% 58.08/9.39 inference(nnf_transformation,[],[f19741])).
% 58.08/9.39 tff(f19741,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,X4) <=> iG1598(X0,X3,X1,X4,X2))),
% 58.08/9.39 inference(fool_elimination,[],[f19739,f19740])).
% 58.08/9.39 tff(f19740,plain,(
% 58.08/9.39 ! [X3 : list(X0),X0 : $tType,X1 : list(X0),X4 : list(X0),X2 : list(X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(list(X0),nat,size_size(list(X0)),X1)),aa(list(X0),nat,size_size(list(X0)),X3))) => (iG1598(X0,X3,X1,X4,X2) <=> (append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X3),X1),X2) = X4 & take(X0,aa(list(X0),nat,size_size(list(X0)),X3),X1) = X3))) & ! [X3 : list(X0),X0 : $tType,X1 : list(X0),X4 : list(X0),X2 : list(X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(list(X0),nat,size_size(list(X0)),X1)),aa(list(X0),nat,size_size(list(X0)),X3))) => (iG1598(X0,X3,X1,X4,X2) <=> (append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3),X4) = X2 & take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1)))),
% 58.08/9.39 introduced(fool_ite_definition,[new_symbols(definition,[iG1598])])).
% 58.08/9.39 tff(f19739,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,X4) <=> $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(list(X0),nat,size_size(list(X0)),X1)),aa(list(X0),nat,size_size(list(X0)),X3)), append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3),X4) = X2 & take(X0,aa(list(X0),nat,size_size(list(X0)),X1),X3) = X1,append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X3),X1),X2) = X4 & take(X0,aa(list(X0),nat,size_size(list(X0)),X3),X1) = X3))),
% 58.08/9.39 inference(rectify,[],[f7855])).
% 58.08/9.39 tff(f7855,axiom,(
% 58.08/9.39 ! [X0 : $tType,X436 : list(X0),X437 : list(X0),X438 : list(X0),X439 : list(X0)] : (append(X0,X436,X437) = append(X0,X438,X439) <=> $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(list(X0),nat,size_size(list(X0)),X436)),aa(list(X0),nat,size_size(list(X0)),X438)), append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X436),X438),X439) = X437 & take(X0,aa(list(X0),nat,size_size(list(X0)),X436),X438) = X436,append(X0,drop(X0,aa(list(X0),nat,size_size(list(X0)),X438),X436),X437) = X439 & take(X0,aa(list(X0),nat,size_size(list(X0)),X438),X436) = X438))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7854_append__eq__append__conv__if)).
% 58.08/9.39 tff(f108661,plain,(
% 58.08/9.39 spl5880_4863),
% 58.08/9.39 inference(avatar_split_clause,[],[f64039,f108659])).
% 58.08/9.39 tff(f108659,plain,(
% 58.08/9.39 spl5880_4863 <=> ! [X0 : $tType,X4 : list(X0),X3 : list(X0),X2 : list(X0),X1 : list(X0)] : (iG1598(X0,X3,X1,X4,X2) | append(X0,X1,X2) != append(X0,X3,X4))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4863])])).
% 58.08/9.39 tff(f64039,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (iG1598(X0,X3,X1,X4,X2) | append(X0,X1,X2) != append(X0,X3,X4)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45616])).
% 58.08/9.39 tff(f108657,plain,(
% 58.08/9.39 spl5880_4862),
% 58.08/9.39 inference(avatar_split_clause,[],[f63820,f108655])).
% 58.08/9.39 tff(f108655,plain,(
% 58.08/9.39 spl5880_4862 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : set(product_prod(X1,X1))] : (($true != aa(X1,$o,X0,sK5568(X1,X0,X2,X3))) | ~sP2466(X1,X0,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4862])])).
% 58.08/9.39 tff(f63820,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1,X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5568(X1,X0,X2,X3))) | ~sP2466(X1,X0,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45462])).
% 58.08/9.39 tff(f45462,plain,(
% 58.08/9.39 ! [X0 : fun(X1,$o),X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1] : ((($true != aa(X1,$o,X0,sK5568(X1,X0,X2,X3))) & ($true = aa(X1,$o,X0,sK5567(X1,X0,X2,X3))) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5567(X1,X0,X2,X3)),sK5568(X1,X0,X2,X3)),X2) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X3),sK5567(X1,X0,X2,X3)),transitive_trancl(X1,X2))) | ~sP2466(X1,X0,X2,X3))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5567,sK5568])],[f45460,f45461])).
% 58.08/9.39 tff(f45461,plain,(
% 58.08/9.39 ! [X1 : $tType,X0 : fun(X1,$o),X2 : set(product_prod(X1,X1)),X3 : X1] : (? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,X0,X5)) & ($true = aa(X1,$o,X0,X4)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X2) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X3),X4),transitive_trancl(X1,X2))) => (($true != aa(X1,$o,X0,sK5568(X1,X0,X2,X3))) & ($true = aa(X1,$o,X0,sK5567(X1,X0,X2,X3))) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5567(X1,X0,X2,X3)),sK5568(X1,X0,X2,X3)),X2) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X3),sK5567(X1,X0,X2,X3)),transitive_trancl(X1,X2))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45460,plain,(
% 58.08/9.39 ! [X0 : fun(X1,$o),X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1] : (? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,X0,X5)) & ($true = aa(X1,$o,X0,X4)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X2) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X3),X4),transitive_trancl(X1,X2))) | ~sP2466(X1,X0,X2,X3))),
% 58.08/9.39 inference(rectify,[],[f45459])).
% 58.08/9.39 tff(f45459,plain,(
% 58.08/9.39 ! [X4 : fun(X0,$o),X0 : $tType,X3 : set(product_prod(X0,X0)),X1 : X0] : (? [X6 : X0,X7 : X0] : (($true != aa(X0,$o,X4,X7)) & ($true = aa(X0,$o,X4,X6)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X6),X7),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X6),transitive_trancl(X0,X3))) | ~sP2466(X0,X4,X3,X1))),
% 58.08/9.39 inference(nnf_transformation,[],[f37864])).
% 58.08/9.39 tff(f37864,plain,(
% 58.08/9.39 ! [X4 : fun(X0,$o),X0 : $tType,X3 : set(product_prod(X0,X0)),X1 : X0] : (? [X6 : X0,X7 : X0] : (($true != aa(X0,$o,X4,X7)) & ($true = aa(X0,$o,X4,X6)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X6),X7),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X6),transitive_trancl(X0,X3))) | ~sP2466(X0,X4,X3,X1))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2466])])).
% 58.08/9.39 tff(f108653,plain,(
% 58.08/9.39 spl5880_4861),
% 58.08/9.39 inference(avatar_split_clause,[],[f63819,f108651])).
% 58.08/9.39 tff(f108651,plain,(
% 58.08/9.39 spl5880_4861 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : set(product_prod(X1,X1))] : (($true = aa(X1,$o,X0,sK5567(X1,X0,X2,X3))) | ~sP2466(X1,X0,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4861])])).
% 58.08/9.39 tff(f63819,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1,X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5567(X1,X0,X2,X3))) | ~sP2466(X1,X0,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45462])).
% 58.08/9.39 tff(f108649,plain,(
% 58.08/9.39 spl5880_4860),
% 58.08/9.39 inference(avatar_split_clause,[],[f63814,f108647])).
% 58.08/9.39 tff(f108647,plain,(
% 58.08/9.39 spl5880_4860 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : set(product_prod(X1,X1))] : (($true != aa(X1,$o,X0,sK5564(X1,X0,X2,X3))) | ~sP2465(X1,X0,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4860])])).
% 58.08/9.39 tff(f63814,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1,X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5564(X1,X0,X2,X3))) | ~sP2465(X1,X0,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45456])).
% 58.08/9.39 tff(f45456,plain,(
% 58.08/9.39 ! [X0 : fun(X1,$o),X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1] : ((($true != aa(X1,$o,X0,sK5564(X1,X0,X2,X3))) & ($true = aa(X1,$o,X0,sK5565(X1,X0,X2,X3))) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5565(X1,X0,X2,X3)),X3),transitive_trancl(X1,X2)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5564(X1,X0,X2,X3)),sK5565(X1,X0,X2,X3)),X2)) | ~sP2465(X1,X0,X2,X3))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5564,sK5565])],[f45454,f45455])).
% 58.08/9.39 tff(f45455,plain,(
% 58.08/9.39 ! [X1 : $tType,X0 : fun(X1,$o),X2 : set(product_prod(X1,X1)),X3 : X1] : (? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,X0,X4)) & ($true = aa(X1,$o,X0,X5)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X3),transitive_trancl(X1,X2)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X2)) => (($true != aa(X1,$o,X0,sK5564(X1,X0,X2,X3))) & ($true = aa(X1,$o,X0,sK5565(X1,X0,X2,X3))) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5565(X1,X0,X2,X3)),X3),transitive_trancl(X1,X2)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5564(X1,X0,X2,X3)),sK5565(X1,X0,X2,X3)),X2)))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45454,plain,(
% 58.08/9.39 ! [X0 : fun(X1,$o),X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1] : (? [X4 : X1,X5 : X1] : (($true != aa(X1,$o,X0,X4)) & ($true = aa(X1,$o,X0,X5)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X3),transitive_trancl(X1,X2)) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),X2)) | ~sP2465(X1,X0,X2,X3))),
% 58.08/9.39 inference(rectify,[],[f45453])).
% 58.08/9.39 tff(f45453,plain,(
% 58.08/9.39 ! [X4 : fun(X0,$o),X0 : $tType,X3 : set(product_prod(X0,X0)),X2 : X0] : (? [X6 : X0,X7 : X0] : (($true != aa(X0,$o,X4,X6)) & ($true = aa(X0,$o,X4,X7)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X2),transitive_trancl(X0,X3)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X6),X7),X3)) | ~sP2465(X0,X4,X3,X2))),
% 58.08/9.39 inference(nnf_transformation,[],[f37862])).
% 58.08/9.39 tff(f37862,plain,(
% 58.08/9.39 ! [X4 : fun(X0,$o),X0 : $tType,X3 : set(product_prod(X0,X0)),X2 : X0] : (? [X6 : X0,X7 : X0] : (($true != aa(X0,$o,X4,X6)) & ($true = aa(X0,$o,X4,X7)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X7),X2),transitive_trancl(X0,X3)) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X6),X7),X3)) | ~sP2465(X0,X4,X3,X2))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2465])])).
% 58.08/9.39 tff(f108644,plain,(
% 58.08/9.39 spl5880_4859 | ~spl5880_1426 | ~spl5880_1679 | ~spl5880_2714 | ~spl5880_3110),
% 58.08/9.39 inference(avatar_split_clause,[],[f96405,f96116,f93664,f87591,f85691,f108641])).
% 58.08/9.39 tff(f87591,plain,(
% 58.08/9.39 spl5880_1679 <=> lG696(one_one(code_integer)) = iG714($true)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_1679])])).
% 58.08/9.39 tff(f93664,plain,(
% 58.08/9.39 spl5880_2714 <=> one_one(code_integer) = aa(num,code_integer,code_positive,one2)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_2714])])).
% 58.08/9.39 tff(f96405,plain,(
% 58.08/9.39 one2 = num_of_nat(iG714($true)) | (~spl5880_1426 | ~spl5880_1679 | ~spl5880_2714 | ~spl5880_3110)),
% 58.08/9.39 inference(forward_demodulation,[],[f96404,f87617])).
% 58.08/9.39 tff(f87617,plain,(
% 58.08/9.39 iG714($true) = iG296(one_one(code_integer)) | (~spl5880_1426 | ~spl5880_1679)),
% 58.08/9.39 inference(superposition,[],[f87593,f85692])).
% 58.08/9.39 tff(f87593,plain,(
% 58.08/9.39 lG696(one_one(code_integer)) = iG714($true) | ~spl5880_1679),
% 58.08/9.39 inference(avatar_component_clause,[],[f87591])).
% 58.08/9.39 tff(f96404,plain,(
% 58.08/9.39 one2 = num_of_nat(iG296(one_one(code_integer))) | (~spl5880_2714 | ~spl5880_3110)),
% 58.08/9.39 inference(superposition,[],[f96117,f93666])).
% 58.08/9.39 tff(f93666,plain,(
% 58.08/9.39 one_one(code_integer) = aa(num,code_integer,code_positive,one2) | ~spl5880_2714),
% 58.08/9.39 inference(avatar_component_clause,[],[f93664])).
% 58.08/9.39 tff(f108639,plain,(
% 58.08/9.39 spl5880_4858),
% 58.08/9.39 inference(avatar_split_clause,[],[f63813,f108637])).
% 58.08/9.39 tff(f108637,plain,(
% 58.08/9.39 spl5880_4858 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : set(product_prod(X1,X1))] : (($true = aa(X1,$o,X0,sK5565(X1,X0,X2,X3))) | ~sP2465(X1,X0,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4858])])).
% 58.08/9.39 tff(f63813,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X2 : set(product_prod(X1,X1)),X3 : X1,X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5565(X1,X0,X2,X3))) | ~sP2465(X1,X0,X2,X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45456])).
% 58.08/9.39 tff(f108635,plain,(
% 58.08/9.39 spl5880_4857),
% 58.08/9.39 inference(avatar_split_clause,[],[f63608,f108633])).
% 58.08/9.39 tff(f108633,plain,(
% 58.08/9.39 spl5880_4857 <=> ! [X0 : $tType,X4 : num,X3 : fun(num,X0),X2 : fun(num,X0),X1 : X0] : case_num(X0,X1,X2,X3,aa(num,num,bit0,X4)) = aa(num,X0,X2,X4)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4857])])).
% 58.08/9.39 tff(f63608,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : fun(num,X0),X3 : fun(num,X0),X1 : X0,X4 : num] : (case_num(X0,X1,X2,X3,aa(num,num,bit0,X4)) = aa(num,X0,X2,X4)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f27006])).
% 58.08/9.39 tff(f27006,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : fun(num,X0),X3 : fun(num,X0),X4 : num] : case_num(X0,X1,X2,X3,aa(num,num,bit0,X4)) = aa(num,X0,X2,X4)),
% 58.08/9.39 inference(rectify,[],[f7424])).
% 58.08/9.39 tff(f7424,axiom,(
% 58.08/9.39 ! [X0 : $tType,X230 : X0,X293 : fun(num,X0),X410 : fun(num,X0),X38 : num] : case_num(X0,X230,X293,X410,aa(num,num,bit0,X38)) = aa(num,X0,X293,X38)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7423_verit__eq__simplify_I17_J)).
% 58.08/9.39 tff(f108631,plain,(
% 58.08/9.39 spl5880_4856),
% 58.08/9.39 inference(avatar_split_clause,[],[f63361,f108629])).
% 58.08/9.39 tff(f108629,plain,(
% 58.08/9.39 spl5880_4856 <=> ! [X0 : $tType,X3 : list(X0),X2 : X0,X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4856])])).
% 58.08/9.39 tff(f63361,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f45208])).
% 58.08/9.39 tff(f45208,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : ((sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) | ~sorted_wrt(X0,X1,X3) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),sK5485(X0,X1,X2,X3))) & member(X0,sK5485(X0,X1,X2,X3),aa(list(X0),set(X0),set2(X0),X3)))) & ((sorted_wrt(X0,X1,X3) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3)))) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3))))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5485])],[f45206,f45207])).
% 58.08/9.39 tff(f45207,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X3))) => (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),sK5485(X0,X1,X2,X3))) & member(X0,sK5485(X0,X1,X2,X3),aa(list(X0),set(X0),set2(X0),X3))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f45206,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : ((sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) | ~sorted_wrt(X0,X1,X3) | ? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)))) & ((sorted_wrt(X0,X1,X3) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3)))) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3))))),
% 58.08/9.39 inference(rectify,[],[f45205])).
% 58.08/9.39 tff(f45205,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : ((sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) | ~sorted_wrt(X0,X1,X3) | ? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)))) & ((sorted_wrt(X0,X1,X3) & ! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)))) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3))))),
% 58.08/9.39 inference(flattening,[],[f45204])).
% 58.08/9.39 tff(f45204,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : ((sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) | (~sorted_wrt(X0,X1,X3) | ? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X3))))) & ((sorted_wrt(X0,X1,X3) & ! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)))) | ~sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3))))),
% 58.08/9.39 inference(nnf_transformation,[],[f36336])).
% 58.08/9.39 tff(f36336,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : (sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) <=> (sorted_wrt(X0,X1,X3) & ! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)))))),
% 58.08/9.39 inference(ennf_transformation,[],[f19325])).
% 58.08/9.39 tff(f19325,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : (sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) <=> (sorted_wrt(X0,X1,X3) & ! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4)))))),
% 58.08/9.39 inference(fool_elimination,[],[f19324])).
% 58.08/9.39 tff(f19324,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : X0,X3 : list(X0)] : (sorted_wrt(X0,X1,aa(list(X0),list(X0),cons(X0,X2),X3)) <=> (sorted_wrt(X0,X1,X3) & ! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X3)) => aa(X0,$o,aa(X0,fun(X0,$o),X1,X2),X4))))),
% 58.08/9.39 inference(rectify,[],[f8036])).
% 58.08/9.39 tff(f8036,axiom,(
% 58.08/9.39 ! [X0 : $tType,X26 : fun(X0,fun(X0,$o)),X9 : X0,X127 : list(X0)] : (sorted_wrt(X0,X26,aa(list(X0),list(X0),cons(X0,X9),X127)) <=> (sorted_wrt(X0,X26,X127) & ! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X127)) => aa(X0,$o,aa(X0,fun(X0,$o),X26,X9),X65))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8035_sorted__wrt_Osimps_I2_J)).
% 58.08/9.39 tff(f108627,plain,(
% 58.08/9.39 spl5880_4855),
% 58.08/9.39 inference(avatar_split_clause,[],[f62625,f108625])).
% 58.08/9.39 tff(f108625,plain,(
% 58.08/9.39 spl5880_4855 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X1),X2 : fun(X1,X0)] : inj_on(X1,product_prod(X1,X0),aTP_Lamp_aad(fun(X1,X0),fun(X1,product_prod(X1,X0)),X2),X3)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4855])])).
% 58.08/9.39 tff(f62625,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : set(X1)] : (inj_on(X1,product_prod(X1,X0),aTP_Lamp_aad(fun(X1,X0),fun(X1,product_prod(X1,X0)),X2),X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f26721])).
% 58.08/9.39 tff(f26721,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : set(X1)] : inj_on(X1,product_prod(X1,X0),aTP_Lamp_aad(fun(X1,X0),fun(X1,product_prod(X1,X0)),X2),X3)),
% 58.08/9.39 inference(rectify,[],[f6987])).
% 58.08/9.39 tff(f6987,axiom,(
% 58.08/9.39 ! [X1 : $tType,X0 : $tType,X30 : fun(X0,X1),X160 : set(X0)] : inj_on(X0,product_prod(X0,X1),aTP_Lamp_aad(fun(X0,X1),fun(X0,product_prod(X0,X1)),X30),X160)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6986_inj__on__convol__ident)).
% 58.08/9.39 tff(f108623,plain,(
% 58.08/9.39 spl5880_4854),
% 58.08/9.39 inference(avatar_split_clause,[],[f62624,f108621])).
% 58.08/9.39 tff(f108621,plain,(
% 58.08/9.39 spl5880_4854 <=> ! [X0 : $tType,X3 : nat,X2 : fun(nat,fun(X0,X0)),X1 : X0] : aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4854])])).
% 58.08/9.39 tff(f62624,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X3 : nat,X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f26720])).
% 58.08/9.39 tff(f26720,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : X0,X2 : fun(nat,fun(X0,X0)),X3 : nat] : aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))),
% 58.08/9.39 inference(rectify,[],[f5476])).
% 58.08/9.39 tff(f5476,axiom,(
% 58.08/9.39 ! [X0 : $tType,X50 : X0,X98 : fun(nat,fun(X0,X0)),X209 : nat] : aa(nat,X0,rec_nat(X0,X50,X98),X209) = the(X0,rec_set_nat(X0,X50,X98,X209))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5475_old_Orec__nat__def)).
% 58.08/9.39 tff(f108619,plain,(
% 58.08/9.39 spl5880_4853),
% 58.08/9.39 inference(avatar_split_clause,[],[f62623,f108617])).
% 58.08/9.39 tff(f108617,plain,(
% 58.08/9.39 spl5880_4853 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : fun(X0,option(X1))] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,X2,bot_bot(set(X0))),X3)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4853])])).
% 58.08/9.39 tff(f62623,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,option(X1)),X3 : X0] : (none(X1) = aa(X0,option(X1),restrict_map(X0,X1,X2,bot_bot(set(X0))),X3)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f26719])).
% 58.08/9.39 tff(f26719,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,option(X1)),X3 : X0] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,X2,bot_bot(set(X0))),X3)),
% 58.08/9.39 inference(rectify,[],[f7351])).
% 58.08/9.39 tff(f7351,axiom,(
% 58.08/9.39 ! [X0 : $tType,X1 : $tType,X15 : fun(X0,option(X1)),X50 : X0] : none(X1) = aa(X0,option(X1),restrict_map(X0,X1,X15,bot_bot(set(X0))),X50)),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7350_restrict__map__to__empty)).
% 58.08/9.39 tff(f108615,plain,(
% 58.08/9.39 spl5880_4852),
% 58.08/9.39 inference(avatar_split_clause,[],[f62366,f108613])).
% 58.08/9.39 tff(f108613,plain,(
% 58.08/9.39 spl5880_4852 <=> ! [X2 : real,X0 : fun(real,$o),X1 : nat] : (sP2404(X0,X2,X1) | ($true != aa(real,$o,X0,aa(real,real,root(X1),X2))))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4852])])).
% 58.08/9.39 tff(f62366,plain,(
% 58.08/9.39 ( ! [X2 : real,X0 : fun(real,$o),X1 : nat] : (sP2404(X0,X2,X1) | ($true != aa(real,$o,X0,aa(real,real,root(X1),X2)))) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44639])).
% 58.08/9.39 tff(f44639,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : ((($true = aa(real,$o,X0,aa(real,real,root(X1),X2))) | ~sP2404(X0,X2,X1) | (($true != aa(real,$o,X0,zero_zero(real))) & zero_zero(nat) = X1)) & ((sP2404(X0,X2,X1) & (($true = aa(real,$o,X0,zero_zero(real))) | zero_zero(nat) != X1)) | ($true != aa(real,$o,X0,aa(real,real,root(X1),X2)))))),
% 58.08/9.39 inference(flattening,[],[f44638])).
% 58.08/9.39 tff(f44638,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : ((($true = aa(real,$o,X0,aa(real,real,root(X1),X2))) | (~sP2404(X0,X2,X1) | (($true != aa(real,$o,X0,zero_zero(real))) & zero_zero(nat) = X1))) & ((sP2404(X0,X2,X1) & (($true = aa(real,$o,X0,zero_zero(real))) | zero_zero(nat) != X1)) | ($true != aa(real,$o,X0,aa(real,real,root(X1),X2)))))),
% 58.08/9.39 inference(nnf_transformation,[],[f37762])).
% 58.08/9.39 tff(f37762,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : (($true = aa(real,$o,X0,aa(real,real,root(X1),X2))) <=> (sP2404(X0,X2,X1) & (($true = aa(real,$o,X0,zero_zero(real))) | zero_zero(nat) != X1)))),
% 58.08/9.39 inference(definition_folding,[],[f35917,f37761])).
% 58.08/9.39 tff(f37761,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X2 : real,X1 : nat] : (sP2404(X0,X2,X1) <=> (! [X3 : real] : (($true = aa(real,$o,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1))))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2404])])).
% 58.08/9.39 tff(f35917,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : (($true = aa(real,$o,X0,aa(real,real,root(X1),X2))) <=> ((! [X3 : real] : (($true = aa(real,$o,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1))) & (($true = aa(real,$o,X0,zero_zero(real))) | zero_zero(nat) != X1)))),
% 58.08/9.39 inference(ennf_transformation,[],[f18713])).
% 58.08/9.39 tff(f18713,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : (($true = aa(real,$o,X0,aa(real,real,root(X1),X2))) <=> ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) => ! [X3 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2 => ($true = aa(real,$o,X0,X3)))) & (zero_zero(nat) = X1 => ($true = aa(real,$o,X0,zero_zero(real))))))),
% 58.08/9.39 inference(fool_elimination,[],[f18712])).
% 58.08/9.39 tff(f18712,plain,(
% 58.08/9.39 ! [X0 : fun(real,$o),X1 : nat,X2 : real] : (aa(real,$o,X0,aa(real,real,root(X1),X2)) <=> ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1) => ! [X3 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2 => aa(real,$o,X0,X3))) & (zero_zero(nat) = X1 => aa(real,$o,X0,zero_zero(real)))))),
% 58.08/9.39 inference(rectify,[],[f4798])).
% 58.08/9.39 tff(f4798,axiom,(
% 58.08/9.39 ! [X26 : fun(real,$o),X8 : nat,X9 : real] : (aa(real,$o,X26,aa(real,real,root(X8),X9)) <=> ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X8) => ! [X102 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X102)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X102)),X8)) = X9 => aa(real,$o,X26,X102))) & (zero_zero(nat) = X8 => aa(real,$o,X26,zero_zero(real)))))),
% 58.08/9.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4797_split__root)).
% 58.08/9.39 tff(f108611,plain,(
% 58.08/9.39 spl5880_4851),
% 58.08/9.39 inference(avatar_split_clause,[],[f62319,f108609])).
% 58.08/9.39 tff(f108609,plain,(
% 58.08/9.39 spl5880_4851 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2400(X0,X1,X2) | ~sP2399(X2,X1,X0) | ~sP2398(X2,X1,X0) | zero_zero(int) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4851])])).
% 58.08/9.39 tff(f62319,plain,(
% 58.08/9.39 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2400(X0,X1,X2) | ~sP2399(X2,X1,X0) | ~sP2398(X2,X1,X0) | zero_zero(int) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44601])).
% 58.08/9.39 tff(f44601,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : fun(int,$o)] : ((sP2400(X0,X1,X2) | ~sP2399(X2,X1,X0) | ~sP2398(X2,X1,X0) | (($true != aa(int,$o,X2,zero_zero(int))) & zero_zero(int) = X0)) & ((sP2399(X2,X1,X0) & sP2398(X2,X1,X0) & (($true = aa(int,$o,X2,zero_zero(int))) | zero_zero(int) != X0)) | ~sP2400(X0,X1,X2)))),
% 58.08/9.39 inference(rectify,[],[f44600])).
% 58.08/9.39 tff(f44600,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : ((sP2400(X2,X1,X0) | ~sP2399(X0,X1,X2) | ~sP2398(X0,X1,X2) | (($true != aa(int,$o,X0,zero_zero(int))) & zero_zero(int) = X2)) & ((sP2399(X0,X1,X2) & sP2398(X0,X1,X2) & (($true = aa(int,$o,X0,zero_zero(int))) | zero_zero(int) != X2)) | ~sP2400(X2,X1,X0)))),
% 58.08/9.39 inference(flattening,[],[f44599])).
% 58.08/9.39 tff(f44599,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : ((sP2400(X2,X1,X0) | (~sP2399(X0,X1,X2) | ~sP2398(X0,X1,X2) | (($true != aa(int,$o,X0,zero_zero(int))) & zero_zero(int) = X2))) & ((sP2399(X0,X1,X2) & sP2398(X0,X1,X2) & (($true = aa(int,$o,X0,zero_zero(int))) | zero_zero(int) != X2)) | ~sP2400(X2,X1,X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37753])).
% 58.08/9.39 tff(f37753,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : (sP2400(X2,X1,X0) <=> (sP2399(X0,X1,X2) & sP2398(X0,X1,X2) & (($true = aa(int,$o,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2400])])).
% 58.08/9.39 tff(f108607,plain,(
% 58.08/9.39 spl5880_4850),
% 58.08/9.39 inference(avatar_split_clause,[],[f62300,f108605])).
% 58.08/9.39 tff(f108605,plain,(
% 58.08/9.39 spl5880_4850 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2397(X0,X1,X2) | ~sP2396(X2,X1,X0) | ~sP2395(X2,X1,X0) | zero_zero(int) = X0)),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4850])])).
% 58.08/9.39 tff(f62300,plain,(
% 58.08/9.39 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2397(X0,X1,X2) | ~sP2396(X2,X1,X0) | ~sP2395(X2,X1,X0) | zero_zero(int) = X0) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44587])).
% 58.08/9.39 tff(f44587,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : fun(int,$o)] : ((sP2397(X0,X1,X2) | ~sP2396(X2,X1,X0) | ~sP2395(X2,X1,X0) | (($true != aa(int,$o,X2,X1)) & zero_zero(int) = X0)) & ((sP2396(X2,X1,X0) & sP2395(X2,X1,X0) & (($true = aa(int,$o,X2,X1)) | zero_zero(int) != X0)) | ~sP2397(X0,X1,X2)))),
% 58.08/9.39 inference(rectify,[],[f44586])).
% 58.08/9.39 tff(f44586,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : ((sP2397(X2,X1,X0) | ~sP2396(X0,X1,X2) | ~sP2395(X0,X1,X2) | (($true != aa(int,$o,X0,X1)) & zero_zero(int) = X2)) & ((sP2396(X0,X1,X2) & sP2395(X0,X1,X2) & (($true = aa(int,$o,X0,X1)) | zero_zero(int) != X2)) | ~sP2397(X2,X1,X0)))),
% 58.08/9.39 inference(flattening,[],[f44585])).
% 58.08/9.39 tff(f44585,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : ((sP2397(X2,X1,X0) | (~sP2396(X0,X1,X2) | ~sP2395(X0,X1,X2) | (($true != aa(int,$o,X0,X1)) & zero_zero(int) = X2))) & ((sP2396(X0,X1,X2) & sP2395(X0,X1,X2) & (($true = aa(int,$o,X0,X1)) | zero_zero(int) != X2)) | ~sP2397(X2,X1,X0)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37749])).
% 58.08/9.39 tff(f37749,plain,(
% 58.08/9.39 ! [X2 : int,X1 : int,X0 : fun(int,$o)] : (sP2397(X2,X1,X0) <=> (sP2396(X0,X1,X2) & sP2395(X0,X1,X2) & (($true = aa(int,$o,X0,X1)) | zero_zero(int) != X2)))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2397])])).
% 58.08/9.39 tff(f108603,plain,(
% 58.08/9.39 spl5880_4849),
% 58.08/9.39 inference(avatar_split_clause,[],[f62255,f108601])).
% 58.08/9.39 tff(f108601,plain,(
% 58.08/9.39 spl5880_4849 <=> ! [X2 : int,X4 : int,X0 : int,X1 : int] : (dvd_dvd(int,X4,X0) | ~dvd_dvd(int,X4,X1) | ~dvd_dvd(int,X4,X2) | ~sP2389(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4849])])).
% 58.08/9.39 tff(f62255,plain,(
% 58.08/9.39 ( ! [X2 : int,X0 : int,X1 : int,X4 : int] : (dvd_dvd(int,X4,X0) | ~dvd_dvd(int,X4,X1) | ~dvd_dvd(int,X4,X2) | ~sP2389(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44539])).
% 58.08/9.39 tff(f44539,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : ((sP2389(X0,X1,X2) | (~dvd_dvd(int,sK5258(X0,X1,X2),X0) & dvd_dvd(int,sK5258(X0,X1,X2),X1) & dvd_dvd(int,sK5258(X0,X1,X2),X2)) | ~dvd_dvd(int,X0,X1) | ~dvd_dvd(int,X0,X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (dvd_dvd(int,X4,X0) | ~dvd_dvd(int,X4,X1) | ~dvd_dvd(int,X4,X2)) & dvd_dvd(int,X0,X1) & dvd_dvd(int,X0,X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2389(X0,X1,X2)))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5258])],[f44537,f44538])).
% 58.08/9.39 tff(f44538,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : (? [X3 : int] : (~dvd_dvd(int,X3,X0) & dvd_dvd(int,X3,X1) & dvd_dvd(int,X3,X2)) => (~dvd_dvd(int,sK5258(X0,X1,X2),X0) & dvd_dvd(int,sK5258(X0,X1,X2),X1) & dvd_dvd(int,sK5258(X0,X1,X2),X2)))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f44537,plain,(
% 58.08/9.39 ! [X0 : int,X1 : int,X2 : int] : ((sP2389(X0,X1,X2) | ? [X3 : int] : (~dvd_dvd(int,X3,X0) & dvd_dvd(int,X3,X1) & dvd_dvd(int,X3,X2)) | ~dvd_dvd(int,X0,X1) | ~dvd_dvd(int,X0,X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (dvd_dvd(int,X4,X0) | ~dvd_dvd(int,X4,X1) | ~dvd_dvd(int,X4,X2)) & dvd_dvd(int,X0,X1) & dvd_dvd(int,X0,X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2389(X0,X1,X2)))),
% 58.08/9.39 inference(rectify,[],[f44536])).
% 58.08/9.39 tff(f44536,plain,(
% 58.08/9.39 ! [X0 : int,X2 : int,X1 : int] : ((sP2389(X0,X2,X1) | ? [X3 : int] : (~dvd_dvd(int,X3,X0) & dvd_dvd(int,X3,X2) & dvd_dvd(int,X3,X1)) | ~dvd_dvd(int,X0,X2) | ~dvd_dvd(int,X0,X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X3 : int] : (dvd_dvd(int,X3,X0) | ~dvd_dvd(int,X3,X2) | ~dvd_dvd(int,X3,X1)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2389(X0,X2,X1)))),
% 58.08/9.39 inference(flattening,[],[f44535])).
% 58.08/9.39 tff(f44535,plain,(
% 58.08/9.39 ! [X0 : int,X2 : int,X1 : int] : ((sP2389(X0,X2,X1) | (? [X3 : int] : (~dvd_dvd(int,X3,X0) & dvd_dvd(int,X3,X2) & dvd_dvd(int,X3,X1)) | ~dvd_dvd(int,X0,X2) | ~dvd_dvd(int,X0,X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)))) & ((! [X3 : int] : (dvd_dvd(int,X3,X0) | ~dvd_dvd(int,X3,X2) | ~dvd_dvd(int,X3,X1)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2389(X0,X2,X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37737])).
% 58.08/9.39 tff(f37737,plain,(
% 58.08/9.39 ! [X0 : int,X2 : int,X1 : int] : (sP2389(X0,X2,X1) <=> (! [X3 : int] : (dvd_dvd(int,X3,X0) | ~dvd_dvd(int,X3,X2) | ~dvd_dvd(int,X3,X1)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2389])])).
% 58.08/9.39 tff(f108599,plain,(
% 58.08/9.39 spl5880_4848 | ~spl5880_1658 | ~spl5880_3024),
% 58.08/9.39 inference(avatar_split_clause,[],[f96208,f95312,f86866,f108597])).
% 58.08/9.39 tff(f108597,plain,(
% 58.08/9.39 spl5880_4848 <=> ! [X0 : $tType] : ~sP2114(X0,bot_bot(set(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4848])])).
% 58.08/9.39 tff(f86866,plain,(
% 58.08/9.39 spl5880_1658 <=> ! [X0 : $tType,X1 : X0] : ~member(X0,X1,bot_bot(set(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_1658])])).
% 58.08/9.39 tff(f95312,plain,(
% 58.08/9.39 spl5880_3024 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK4194(X0,X1),X1) | ~sP2114(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3024])])).
% 58.08/9.39 tff(f96208,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (~sP2114(X0,bot_bot(set(X0)))) ) | (~spl5880_1658 | ~spl5880_3024)),
% 58.08/9.39 inference(resolution,[],[f95313,f86867])).
% 58.08/9.39 tff(f86867,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : X0] : (~member(X0,X1,bot_bot(set(X0)))) ) | ~spl5880_1658),
% 58.08/9.39 inference(avatar_component_clause,[],[f86866])).
% 58.08/9.39 tff(f95313,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK4194(X0,X1),X1) | ~sP2114(X0,X1)) ) | ~spl5880_3024),
% 58.08/9.39 inference(avatar_component_clause,[],[f95312])).
% 58.08/9.39 tff(f108595,plain,(
% 58.08/9.39 spl5880_4847),
% 58.08/9.39 inference(avatar_split_clause,[],[f62171,f108593])).
% 58.08/9.39 tff(f108593,plain,(
% 58.08/9.39 spl5880_4847 <=> ! [X0 : $tType,X2 : set(X0),X1 : nat] : (aa(set(X0),nat,finite_card(X0),sK5249(X0,X1,X2)) = X1 | ~sP2388(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4847])])).
% 58.08/9.39 tff(f62171,plain,(
% 58.08/9.39 ( ! [X0 : $tType,X2 : set(X0),X1 : nat] : (aa(set(X0),nat,finite_card(X0),sK5249(X0,X1,X2)) = X1 | ~sP2388(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44480])).
% 58.08/9.39 tff(f44480,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : set(X0)] : ((sP2388(X0,X1,X2) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X1) | aa(set(X0),nat,finite_card(X0),X4) != X1 | member(X0,X3,X4) | aa(set(X0),set(X0),insert(X0,X3),X4) != X2)) & (((bot_bot(set(X0)) = sK5249(X0,X1,X2) | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),sK5249(X0,X1,X2)) = X1 & ~member(X0,sK5248(X0,X1,X2),sK5249(X0,X1,X2)) & aa(set(X0),set(X0),insert(X0,sK5248(X0,X1,X2)),sK5249(X0,X1,X2)) = X2) | ~sP2388(X0,X1,X2)))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5248,sK5249])],[f44478,f44479])).
% 58.08/9.39 tff(f44479,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : set(X0)] : (? [X5 : X0,X6 : set(X0)] : ((bot_bot(set(X0)) = X6 | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),X6) = X1 & ~member(X0,X5,X6) & aa(set(X0),set(X0),insert(X0,X5),X6) = X2) => ((bot_bot(set(X0)) = sK5249(X0,X1,X2) | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),sK5249(X0,X1,X2)) = X1 & ~member(X0,sK5248(X0,X1,X2),sK5249(X0,X1,X2)) & aa(set(X0),set(X0),insert(X0,sK5248(X0,X1,X2)),sK5249(X0,X1,X2)) = X2))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f44478,plain,(
% 58.08/9.39 ! [X0 : $tType,X1 : nat,X2 : set(X0)] : ((sP2388(X0,X1,X2) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X1) | aa(set(X0),nat,finite_card(X0),X4) != X1 | member(X0,X3,X4) | aa(set(X0),set(X0),insert(X0,X3),X4) != X2)) & (? [X5 : X0,X6 : set(X0)] : ((bot_bot(set(X0)) = X6 | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),X6) = X1 & ~member(X0,X5,X6) & aa(set(X0),set(X0),insert(X0,X5),X6) = X2) | ~sP2388(X0,X1,X2)))),
% 58.08/9.39 inference(rectify,[],[f44477])).
% 58.08/9.39 tff(f44477,plain,(
% 58.08/9.39 ! [X0 : $tType,X2 : nat,X1 : set(X0)] : ((sP2388(X0,X2,X1) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X2) | aa(set(X0),nat,finite_card(X0),X4) != X2 | member(X0,X3,X4) | aa(set(X0),set(X0),insert(X0,X3),X4) != X1)) & (? [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) = X4 | zero_zero(nat) != X2) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~member(X0,X3,X4) & aa(set(X0),set(X0),insert(X0,X3),X4) = X1) | ~sP2388(X0,X2,X1)))),
% 58.08/9.39 inference(nnf_transformation,[],[f37735])).
% 58.08/9.39 tff(f108591,plain,(
% 58.08/9.39 spl5880_4846),
% 58.08/9.39 inference(avatar_split_clause,[],[f62055,f108589])).
% 58.08/9.39 tff(f108589,plain,(
% 58.08/9.39 spl5880_4846 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2382(X2,X1,X0) | sP2381(X2,X1,X0) | zero_zero(int) = X1 | ~sP2383(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4846])])).
% 58.08/9.39 tff(f62055,plain,(
% 58.08/9.39 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2382(X2,X1,X0) | sP2381(X2,X1,X0) | zero_zero(int) = X1 | ~sP2383(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44378])).
% 58.08/9.39 tff(f108587,plain,(
% 58.08/9.39 spl5880_4845),
% 58.08/9.39 inference(avatar_split_clause,[],[f61712,f108585])).
% 58.08/9.39 tff(f108585,plain,(
% 58.08/9.39 spl5880_4845 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,aa(nat,nat,suc,sK5154(X0,X1)))) | ~sP2371(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4845])])).
% 58.08/9.39 tff(f61712,plain,(
% 58.08/9.39 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,aa(nat,nat,suc,sK5154(X0,X1)))) | ~sP2371(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44237])).
% 58.08/9.39 tff(f44237,plain,(
% 58.08/9.39 ! [X0 : fun(nat,$o),X1 : nat] : ((($true != aa(nat,$o,X0,sK5154(X0,X1))) & ($true = aa(nat,$o,X0,aa(nat,nat,suc,sK5154(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5154(X0,X1)),X1))) | ~sP2371(X0,X1))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5154])],[f44235,f44236])).
% 58.08/9.39 tff(f44236,plain,(
% 58.08/9.39 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,X0,aa(nat,nat,suc,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) => (($true != aa(nat,$o,X0,sK5154(X0,X1))) & ($true = aa(nat,$o,X0,aa(nat,nat,suc,sK5154(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5154(X0,X1)),X1))))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f44235,plain,(
% 58.08/9.39 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,X0,aa(nat,nat,suc,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) | ~sP2371(X0,X1))),
% 58.08/9.39 inference(rectify,[],[f44234])).
% 58.08/9.39 tff(f44234,plain,(
% 58.08/9.39 ! [X2 : fun(nat,$o),X1 : nat] : (? [X4 : nat] : (($true != aa(nat,$o,X2,X4)) & ($true = aa(nat,$o,X2,aa(nat,nat,suc,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1))) | ~sP2371(X2,X1))),
% 58.08/9.39 inference(nnf_transformation,[],[f37707])).
% 58.08/9.39 tff(f37707,plain,(
% 58.08/9.39 ! [X2 : fun(nat,$o),X1 : nat] : (? [X4 : nat] : (($true != aa(nat,$o,X2,X4)) & ($true = aa(nat,$o,X2,aa(nat,nat,suc,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1))) | ~sP2371(X2,X1))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2371])])).
% 58.08/9.39 tff(f108583,plain,(
% 58.08/9.39 spl5880_4844),
% 58.08/9.39 inference(avatar_split_clause,[],[f61492,f108581])).
% 58.08/9.39 tff(f108581,plain,(
% 58.08/9.39 spl5880_4844 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1522(X0,sK5034(X0,X1,X2),sK5033(X0,X1,X2)) = X1) | ~sP2356(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4844])])).
% 58.08/9.39 tff(f61492,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1522(X0,sK5034(X0,X1,X2),sK5033(X0,X1,X2)) = X1) | ~sP2356(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f44022])).
% 58.08/9.39 tff(f108579,plain,(
% 58.08/9.39 spl5880_4843),
% 58.08/9.39 inference(avatar_split_clause,[],[f61470,f108577])).
% 58.08/9.39 tff(f108577,plain,(
% 58.08/9.39 spl5880_4843 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK5008(X1),sK5009(X1),sK5010(X1)) = X1 | ~sP2355(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4843])])).
% 58.08/9.39 tff(f61470,plain,(
% 58.08/9.39 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK5008(X1),sK5009(X1),sK5010(X1)) = X1 | ~sP2355(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43991])).
% 58.08/9.39 tff(f43991,plain,(
% 58.08/9.39 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & vEBT_Node(none(product_prod(nat,nat)),sK5008(X1),sK5009(X1),sK5010(X1)) = X1) | ~sP2355(X0,X1))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5008,sK5009,sK5010])],[f43989,f43990])).
% 58.08/9.39 tff(f43990,plain,(
% 58.08/9.39 ! [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)),sK5008(X1),sK5009(X1),sK5010(X1)) = X1)),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43989,plain,(
% 58.08/9.39 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2355(X0,X1))),
% 58.08/9.39 inference(rectify,[],[f43988])).
% 58.08/9.39 tff(f43988,plain,(
% 58.08/9.39 ! [X2 : $o,X0 : vEBT_VEBT] : ((($true != X2) & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2355(X2,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37680])).
% 58.08/9.39 tff(f37680,plain,(
% 58.08/9.39 ! [X2 : $o,X0 : vEBT_VEBT] : ((($true != X2) & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2355(X2,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2355])])).
% 58.08/9.39 tff(f108575,plain,(
% 58.08/9.39 spl5880_4842),
% 58.08/9.39 inference(avatar_split_clause,[],[f61442,f108573])).
% 58.08/9.39 tff(f108573,plain,(
% 58.08/9.39 spl5880_4842 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1506(sK4993(X0,X1,X2),sK4992(X0,X1,X2),X0) = X1) | ~sP2351(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4842])])).
% 58.08/9.39 tff(f61442,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1506(sK4993(X0,X1,X2),sK4992(X0,X1,X2),X0) = X1) | ~sP2351(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43961])).
% 58.08/9.39 tff(f43961,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,sK4992(X0,X1,X2)),sK4993(X0,X1,X2),sK4994(X0,X1,X2))),X0))) & (iG1506(sK4993(X0,X1,X2),sK4992(X0,X1,X2),X0) = X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4992(X0,X1,X2)),sK4993(X0,X1,X2),sK4994(X0,X1,X2)) = X2) | ~sP2351(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4992,sK4993,sK4994])],[f43959,f43960])).
% 58.08/9.39 tff(f43960,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5)),X0))) & (iG1506(X4,X3,X0) = X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,sK4992(X0,X1,X2)),sK4993(X0,X1,X2),sK4994(X0,X1,X2))),X0))) & (iG1506(sK4993(X0,X1,X2),sK4992(X0,X1,X2),X0) = X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK4992(X0,X1,X2)),sK4993(X0,X1,X2),sK4994(X0,X1,X2)) = X2))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43959,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,X3),X4,X5)),X0))) & (iG1506(X4,X3,X0) = X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) | ~sP2351(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f43958])).
% 58.08/9.39 tff(f43958,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,X16),X17,X18)),X1))) & (iG1506(X17,X16,X1) = X2) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP2351(X1,X2,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37674])).
% 58.08/9.39 tff(f37674,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,X16),X17,X18)),X1))) & (iG1506(X17,X16,X1) = X2) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP2351(X1,X2,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2351])])).
% 58.08/9.39 tff(f108571,plain,(
% 58.08/9.39 spl5880_4841),
% 58.08/9.39 inference(avatar_split_clause,[],[f61418,f108569])).
% 58.08/9.39 tff(f108569,plain,(
% 58.08/9.39 spl5880_4841 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1486(X0,sK4975(X0,X1,X2),sK4974(X0,X1,X2)) = X1) | ~sP2337(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4841])])).
% 58.08/9.39 tff(f61418,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1486(X0,sK4975(X0,X1,X2),sK4974(X0,X1,X2)) = X1) | ~sP2337(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43930])).
% 58.08/9.39 tff(f108567,plain,(
% 58.08/9.39 spl5880_4840),
% 58.08/9.39 inference(avatar_split_clause,[],[f61412,f108565])).
% 58.08/9.39 tff(f108565,plain,(
% 58.08/9.39 spl5880_4840 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1491(sK4969(X0,X1,X2),sK4968(X0,X1,X2),X0) = X1) | ~sP2339(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4840])])).
% 58.08/9.39 tff(f61412,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : ((iG1491(sK4969(X0,X1,X2),sK4968(X0,X1,X2),X0) = X1) | ~sP2339(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43922])).
% 58.08/9.39 tff(f43922,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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(sK4967(X0,X1,X2),aa(nat,nat,suc,sK4968(X0,X1,X2)),sK4969(X0,X1,X2),sK4970(X0,X1,X2))),X0))) & (iG1491(sK4969(X0,X1,X2),sK4968(X0,X1,X2),X0) = X1) & vEBT_Node(sK4967(X0,X1,X2),aa(nat,nat,suc,sK4968(X0,X1,X2)),sK4969(X0,X1,X2),sK4970(X0,X1,X2)) = X2) | ~sP2339(X0,X1,X2))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4967,sK4968,sK4969,sK4970])],[f43920,f43921])).
% 58.08/9.39 tff(f43921,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6)),X0))) & (iG1491(X5,X4,X0) = X1) & vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(sK4967(X0,X1,X2),aa(nat,nat,suc,sK4968(X0,X1,X2)),sK4969(X0,X1,X2),sK4970(X0,X1,X2))),X0))) & (iG1491(sK4969(X0,X1,X2),sK4968(X0,X1,X2),X0) = X1) & vEBT_Node(sK4967(X0,X1,X2),aa(nat,nat,suc,sK4968(X0,X1,X2)),sK4969(X0,X1,X2),sK4970(X0,X1,X2)) = X2))),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43920,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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,aa(nat,nat,suc,X4),X5,X6)),X0))) & (iG1491(X5,X4,X0) = X1) & vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) | ~sP2339(X0,X1,X2))),
% 58.08/9.39 inference(rectify,[],[f43919])).
% 58.08/9.39 tff(f43919,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(X8,aa(nat,nat,suc,X9),X10,X11)),X1))) & (iG1491(X10,X9,X1) = X2) & vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP2339(X1,X2,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37660])).
% 58.08/9.39 tff(f37660,plain,(
% 58.08/9.39 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(X8,aa(nat,nat,suc,X9),X10,X11)),X1))) & (iG1491(X10,X9,X1) = X2) & vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP2339(X1,X2,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2339])])).
% 58.08/9.39 tff(f108563,plain,(
% 58.08/9.39 spl5880_4839),
% 58.08/9.39 inference(avatar_split_clause,[],[f61391,f108561])).
% 58.08/9.39 tff(f108561,plain,(
% 58.08/9.39 spl5880_4839 <=> ! [X3 : nat,X4 : option(product_prod(nat,nat)),X0 : nat,X5 : $o,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : (($true = X5) | ~sP2331(X4,X3,X2,X1,X0) | ~sP2332(X0,X1,X2,X3,X4,X5))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4839])])).
% 58.08/9.39 tff(f61391,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X5 : $o] : (($true = X5) | ~sP2331(X4,X3,X2,X1,X0) | ~sP2332(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43897])).
% 58.08/9.39 tff(f43897,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : option(product_prod(nat,nat)),X5 : $o] : (((($true = X5) | ~sP2331(X4,X3,X2,X1,X0)) & (sP2331(X4,X3,X2,X1,X0) | ($true != X5))) | ~sP2332(X0,X1,X2,X3,X4,X5))),
% 58.08/9.39 inference(rectify,[],[f43896])).
% 58.08/9.39 tff(f43896,plain,(
% 58.08/9.39 ! [X1 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X6 : nat,X5 : option(product_prod(nat,nat)),X2 : $o] : (((($true = X2) | ~sP2331(X5,X6,X8,X7,X1)) & (sP2331(X5,X6,X8,X7,X1) | ($true != X2))) | ~sP2332(X1,X7,X8,X6,X5,X2))),
% 58.08/9.39 inference(nnf_transformation,[],[f37651])).
% 58.08/9.39 tff(f37651,plain,(
% 58.08/9.39 ! [X1 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X6 : nat,X5 : option(product_prod(nat,nat)),X2 : $o] : ((($true = X2) <=> sP2331(X5,X6,X8,X7,X1)) | ~sP2332(X1,X7,X8,X6,X5,X2))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2332])])).
% 58.08/9.39 tff(f108559,plain,(
% 58.08/9.39 spl5880_4838),
% 58.08/9.39 inference(avatar_split_clause,[],[f61370,f108557])).
% 58.08/9.39 tff(f108557,plain,(
% 58.08/9.39 spl5880_4838 <=> ! [X5 : $o,X4 : option(product_prod(nat,nat)),X0 : nat,X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : (sP2328(X4,X3,X2,X1,X0) | ($true = X5) | ~sP2329(X0,X1,X2,X3,X4,X5))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4838])])).
% 58.08/9.39 tff(f61370,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X5 : $o] : (sP2328(X4,X3,X2,X1,X0) | ($true = X5) | ~sP2329(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43877])).
% 58.08/9.39 tff(f43877,plain,(
% 58.08/9.39 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : option(product_prod(nat,nat)),X5 : $o] : (((~sP2328(X4,X3,X2,X1,X0) | ($true != X5)) & (sP2328(X4,X3,X2,X1,X0) | ($true = X5))) | ~sP2329(X0,X1,X2,X3,X4,X5))),
% 58.08/9.39 inference(rectify,[],[f43876])).
% 58.08/9.39 tff(f43876,plain,(
% 58.08/9.39 ! [X1 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X6 : nat,X5 : option(product_prod(nat,nat)),X2 : $o] : (((~sP2328(X5,X6,X8,X7,X1) | ($true != X2)) & (sP2328(X5,X6,X8,X7,X1) | ($true = X2))) | ~sP2329(X1,X7,X8,X6,X5,X2))),
% 58.08/9.39 inference(nnf_transformation,[],[f37647])).
% 58.08/9.39 tff(f37647,plain,(
% 58.08/9.39 ! [X1 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X6 : nat,X5 : option(product_prod(nat,nat)),X2 : $o] : ((($true = X2) <~> sP2328(X5,X6,X8,X7,X1)) | ~sP2329(X1,X7,X8,X6,X5,X2))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2329])])).
% 58.08/9.39 tff(f108555,plain,(
% 58.08/9.39 spl5880_4837 | ~spl5880_1658 | ~spl5880_3003),
% 58.08/9.39 inference(avatar_split_clause,[],[f96185,f95228,f86866,f108553])).
% 58.08/9.39 tff(f108553,plain,(
% 58.08/9.39 spl5880_4837 <=> ! [X0 : $tType] : sP1954(X0,bot_bot(set(X0)))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4837])])).
% 58.08/9.39 tff(f95228,plain,(
% 58.08/9.39 spl5880_3003 <=> ! [X1 : $tType,X0 : set(X1)] : (sP1954(X1,X0) | member(X1,sK2816(X1,X0),X0))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_3003])])).
% 58.08/9.39 tff(f96185,plain,(
% 58.08/9.39 ( ! [X0 : $tType] : (sP1954(X0,bot_bot(set(X0)))) ) | (~spl5880_1658 | ~spl5880_3003)),
% 58.08/9.39 inference(resolution,[],[f95229,f86867])).
% 58.08/9.39 tff(f95229,plain,(
% 58.08/9.39 ( ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2816(X1,X0),X0) | sP1954(X1,X0)) ) | ~spl5880_3003),
% 58.08/9.39 inference(avatar_component_clause,[],[f95228])).
% 58.08/9.39 tff(f108551,plain,(
% 58.08/9.39 spl5880_4836),
% 58.08/9.39 inference(avatar_split_clause,[],[f61017,f108549])).
% 58.08/9.39 tff(f108549,plain,(
% 58.08/9.39 spl5880_4836 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 | ~sP2272(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4836])])).
% 58.08/9.39 tff(f61017,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1437(sK4823(X0,X1,X2),sK4822(X0,X1,X2)) = X0 | ~sP2272(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43564])).
% 58.08/9.39 tff(f108547,plain,(
% 58.08/9.39 spl5880_4835),
% 58.08/9.39 inference(avatar_split_clause,[],[f60974,f108545])).
% 58.08/9.39 tff(f108545,plain,(
% 58.08/9.39 spl5880_4835 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4778(X1),sK4779(X1),sK4780(X1)) = X1 | ~sP2263(X0,X1))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4835])])).
% 58.08/9.39 tff(f60974,plain,(
% 58.08/9.39 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4778(X1),sK4779(X1),sK4780(X1)) = X1 | ~sP2263(X0,X1)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43510])).
% 58.08/9.39 tff(f43510,plain,(
% 58.08/9.39 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4778(X1),sK4779(X1),sK4780(X1)) = X1) | ~sP2263(X0,X1))),
% 58.08/9.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4778,sK4779,sK4780])],[f43508,f43509])).
% 58.08/9.39 tff(f43509,plain,(
% 58.08/9.39 ! [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)),sK4778(X1),sK4779(X1),sK4780(X1)) = X1)),
% 58.08/9.39 introduced(choice_axiom,[])).
% 58.08/9.39 tff(f43508,plain,(
% 58.08/9.39 ! [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) | ~sP2263(X0,X1))),
% 58.08/9.39 inference(rectify,[],[f43507])).
% 58.08/9.39 tff(f43507,plain,(
% 58.08/9.39 ! [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) | ~sP2263(X2,X0))),
% 58.08/9.39 inference(nnf_transformation,[],[f37570])).
% 58.08/9.39 tff(f37570,plain,(
% 58.08/9.39 ! [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) | ~sP2263(X2,X0))),
% 58.08/9.39 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2263])])).
% 58.08/9.39 tff(f108543,plain,(
% 58.08/9.39 spl5880_4834),
% 58.08/9.39 inference(avatar_split_clause,[],[f60961,f108541])).
% 58.08/9.39 tff(f108541,plain,(
% 58.08/9.39 spl5880_4834 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1385(sK4761(X0,X1,X2),sK4760(X0,X1,X2)) = X0 | ~sP2258(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4834])])).
% 58.08/9.39 tff(f60961,plain,(
% 58.08/9.39 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1385(sK4761(X0,X1,X2),sK4760(X0,X1,X2)) = X0 | ~sP2258(X0,X1,X2)) )),
% 58.08/9.39 inference(cnf_transformation,[],[f43489])).
% 58.08/9.39 tff(f108539,plain,(
% 58.08/9.39 spl5880_4833),
% 58.08/9.39 inference(avatar_split_clause,[],[f60960,f108537])).
% 58.08/9.39 tff(f108537,plain,(
% 58.08/9.39 spl5880_4833 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4762(X1))) = X1 | ~sP2258(X0,X1,X2))),
% 58.08/9.39 introduced(avatar_definition,[new_symbols(naming,[spl5880_4833])])).
% 58.08/9.40 tff(f60960,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4762(X1))) = X1 | ~sP2258(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43489])).
% 58.08/9.40 tff(f108535,plain,(
% 58.08/9.40 spl5880_4832),
% 58.08/9.40 inference(avatar_split_clause,[],[f60957,f108533])).
% 58.08/9.40 tff(f108533,plain,(
% 58.08/9.40 spl5880_4832 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4757(X1),sK4758(X1),sK4759(X1)) = X1 | ~sP2259(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4832])])).
% 58.08/9.40 tff(f60957,plain,(
% 58.08/9.40 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4757(X1),sK4758(X1),sK4759(X1)) = X1 | ~sP2259(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43484])).
% 58.08/9.40 tff(f43484,plain,(
% 58.08/9.40 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4757(X1),sK4758(X1),sK4759(X1)) = X1) | ~sP2259(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4757,sK4758,sK4759])],[f43482,f43483])).
% 58.08/9.40 tff(f43483,plain,(
% 58.08/9.40 ! [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)),sK4757(X1),sK4758(X1),sK4759(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43482,plain,(
% 58.08/9.40 ! [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) | ~sP2259(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43481])).
% 58.08/9.40 tff(f43481,plain,(
% 58.08/9.40 ! [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) | ~sP2259(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37565])).
% 58.08/9.40 tff(f37565,plain,(
% 58.08/9.40 ! [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) | ~sP2259(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2259])])).
% 58.08/9.40 tff(f108531,plain,(
% 58.08/9.40 spl5880_4831),
% 58.08/9.40 inference(avatar_split_clause,[],[f60914,f108529])).
% 58.08/9.40 tff(f108529,plain,(
% 58.08/9.40 spl5880_4831 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4717(X1))) = X1 | ~sP2247(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4831])])).
% 58.08/9.40 tff(f60914,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4717(X1))) = X1 | ~sP2247(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43435])).
% 58.08/9.40 tff(f108527,plain,(
% 58.08/9.40 spl5880_4830),
% 58.08/9.40 inference(avatar_split_clause,[],[f60887,f108525])).
% 58.08/9.40 tff(f108525,plain,(
% 58.08/9.40 spl5880_4830 <=> ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),sK4702(X0,X1,X2))) = X0 | ~sP2241(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4830])])).
% 58.08/9.40 tff(f60887,plain,(
% 58.08/9.40 ( ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),sK4702(X0,X1,X2))) = X0 | ~sP2241(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43404])).
% 58.08/9.40 tff(f43404,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4701(X0,X1,X2))),aa(num,num,bit0,sK4702(X0,X1,X2))))) & bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),sK4702(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4702(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4701(X0,X1,X2)) = X2) | ~sP2241(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4701,sK4702])],[f43401,f43403,f43402])).
% 58.08/9.40 tff(f43402,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4701(X0,X1,X2))),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4701(X0,X1,X2)) = X2))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43403,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4701(X0,X1,X2))),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4701(X0,X1,X2))),aa(num,num,bit0,sK4702(X0,X1,X2))))) & bitM(bit_or_not_num_neg(sK4701(X0,X1,X2),sK4702(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4702(X0,X1,X2)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43401,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2241(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43400])).
% 58.08/9.40 tff(f43400,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & bitM(bit_or_not_num_neg(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2241(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37544])).
% 58.08/9.40 tff(f37544,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & bitM(bit_or_not_num_neg(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2241(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2241])])).
% 58.08/9.40 tff(f108523,plain,(
% 58.08/9.40 spl5880_4829),
% 58.08/9.40 inference(avatar_split_clause,[],[f60875,f108521])).
% 58.08/9.40 tff(f108521,plain,(
% 58.08/9.40 spl5880_4829 <=> ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),sK4697(X0,X1,X2))) = X0 | ~sP2244(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4829])])).
% 58.08/9.40 tff(f60875,plain,(
% 58.08/9.40 ( ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),sK4697(X0,X1,X2))) = X0 | ~sP2244(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43390])).
% 58.08/9.40 tff(f43390,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4696(X0,X1,X2))),aa(num,num,bit0,sK4697(X0,X1,X2))))) & bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),sK4697(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4697(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4696(X0,X1,X2)) = X2) | ~sP2244(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4696,sK4697])],[f43387,f43389,f43388])).
% 58.08/9.40 tff(f43388,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4696(X0,X1,X2))),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4696(X0,X1,X2)) = X2))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43389,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4696(X0,X1,X2))),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4696(X0,X1,X2))),aa(num,num,bit0,sK4697(X0,X1,X2))))) & bitM(bit_or_not_num_neg(sK4696(X0,X1,X2),sK4697(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4697(X0,X1,X2)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43387,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2244(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43386])).
% 58.08/9.40 tff(f43386,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X11)),aa(num,num,bit0,X12)))) & bitM(bit_or_not_num_neg(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2244(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37547])).
% 58.08/9.40 tff(f37547,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,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,X11)),aa(num,num,bit0,X12)))) & bitM(bit_or_not_num_neg(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2244(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2244])])).
% 58.08/9.40 tff(f108519,plain,(
% 58.08/9.40 spl5880_4828),
% 58.08/9.40 inference(avatar_split_clause,[],[f60857,f108517])).
% 58.08/9.40 tff(f108517,plain,(
% 58.08/9.40 spl5880_4828 <=> ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),sK4690(X0,X1,X2))) = X0 | ~sP2233(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4828])])).
% 58.08/9.40 tff(f60857,plain,(
% 58.08/9.40 ( ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),sK4690(X0,X1,X2))) = X0 | ~sP2233(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43367])).
% 58.08/9.40 tff(f43367,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (((bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),sK4690(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4690(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4689(X0,X1,X2)) = X2) | ~sP2233(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4689,sK4690])],[f43364,f43366,f43365])).
% 58.08/9.40 tff(f43365,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4689(X0,X1,X2)) = X2))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43366,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (bitM(bit_or_not_num_neg(sK4689(X0,X1,X2),sK4690(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4690(X0,X1,X2)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43364,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2233(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43363])).
% 58.08/9.40 tff(f43363,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (bitM(bit_or_not_num_neg(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2233(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37535])).
% 58.08/9.40 tff(f37535,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (bitM(bit_or_not_num_neg(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2233(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2233])])).
% 58.08/9.40 tff(f108515,plain,(
% 58.08/9.40 spl5880_4827),
% 58.08/9.40 inference(avatar_split_clause,[],[f60848,f108513])).
% 58.08/9.40 tff(f108513,plain,(
% 58.08/9.40 spl5880_4827 <=> ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),sK4685(X0,X1,X2))) = X0 | ~sP2236(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4827])])).
% 58.08/9.40 tff(f60848,plain,(
% 58.08/9.40 ( ! [X2 : num,X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),sK4685(X0,X1,X2))) = X0 | ~sP2236(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43353])).
% 58.08/9.40 tff(f43353,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (((bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),sK4685(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4685(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4684(X0,X1,X2)) = X2) | ~sP2236(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4684,sK4685])],[f43350,f43352,f43351])).
% 58.08/9.40 tff(f43351,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4684(X0,X1,X2)) = X2))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43352,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (bitM(bit_or_not_num_neg(sK4684(X0,X1,X2),sK4685(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4685(X0,X1,X2)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43350,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (bitM(bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2236(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43349])).
% 58.08/9.40 tff(f43349,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (bitM(bit_or_not_num_neg(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2236(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37538])).
% 58.08/9.40 tff(f37538,plain,(
% 58.08/9.40 ! [X2 : num,X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (bitM(bit_or_not_num_neg(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2236(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2236])])).
% 58.08/9.40 tff(f108511,plain,(
% 58.08/9.40 spl5880_4826 | ~spl5880_1658 | ~spl5880_2992),
% 58.08/9.40 inference(avatar_split_clause,[],[f96146,f95184,f86866,f108509])).
% 58.08/9.40 tff(f108509,plain,(
% 58.08/9.40 spl5880_4826 <=> ! [X0 : $tType] : ~sP1945(X0,bot_bot(set(X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4826])])).
% 58.08/9.40 tff(f95184,plain,(
% 58.08/9.40 spl5880_2992 <=> ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2763(X1,X0),X0) | ~sP1945(X1,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_2992])])).
% 58.08/9.40 tff(f96146,plain,(
% 58.08/9.40 ( ! [X0 : $tType] : (~sP1945(X0,bot_bot(set(X0)))) ) | (~spl5880_1658 | ~spl5880_2992)),
% 58.08/9.40 inference(resolution,[],[f95185,f86867])).
% 58.08/9.40 tff(f95185,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2763(X1,X0),X0) | ~sP1945(X1,X0)) ) | ~spl5880_2992),
% 58.08/9.40 inference(avatar_component_clause,[],[f95184])).
% 58.08/9.40 tff(f108507,plain,(
% 58.08/9.40 spl5880_4825),
% 58.08/9.40 inference(avatar_split_clause,[],[f60810,f108505])).
% 58.08/9.40 tff(f108505,plain,(
% 58.08/9.40 spl5880_4825 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4645(X1))) = X1 | ~sP2220(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4825])])).
% 58.08/9.40 tff(f60810,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4645(X1))) = X1 | ~sP2220(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43308])).
% 58.08/9.40 tff(f43308,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4645(X1))) = X1 & vEBT_Leaf(bG1273(sK4646(X2)),bG1274(sK4647(X2))) = X2) | ~sP2220(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4645,sK4646,sK4647])],[f43305,f43307,f43306])).
% 58.08/9.40 tff(f43306,plain,(
% 58.08/9.40 ! [X1 : nat] : (? [X3 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X3)) = X1 => aa(nat,nat,suc,aa(nat,nat,suc,sK4645(X1))) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43307,plain,(
% 58.08/9.40 ! [X2 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1273(X4),bG1274(X5)) = X2 => vEBT_Leaf(bG1273(sK4646(X2)),bG1274(sK4647(X2))) = X2)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43305,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X3 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X3)) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1273(X4),bG1274(X5)) = X2) | ~sP2220(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43304])).
% 58.08/9.40 tff(f43304,plain,(
% 58.08/9.40 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & ? [X7 : $o,X8 : $o] : vEBT_Leaf(bG1273(X7),bG1274(X8)) = X0) | ~sP2220(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37520])).
% 58.08/9.40 tff(f37520,plain,(
% 58.08/9.40 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & ? [X7 : $o,X8 : $o] : vEBT_Leaf(bG1273(X7),bG1274(X8)) = X0) | ~sP2220(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2220])])).
% 58.08/9.40 tff(f108503,plain,(
% 58.08/9.40 spl5880_4824),
% 58.08/9.40 inference(avatar_split_clause,[],[f60807,f108501])).
% 58.08/9.40 tff(f108501,plain,(
% 58.08/9.40 spl5880_4824 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4642(X1),sK4643(X1),sK4644(X1)) = X1 | ~sP2221(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4824])])).
% 58.08/9.40 tff(f60807,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4642(X1),sK4643(X1),sK4644(X1)) = X1 | ~sP2221(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43303])).
% 58.08/9.40 tff(f43303,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4642(X1),sK4643(X1),sK4644(X1)) = X1) | ~sP2221(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4642,sK4643,sK4644])],[f43301,f43302])).
% 58.08/9.40 tff(f43302,plain,(
% 58.08/9.40 ! [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)),sK4642(X1),sK4643(X1),sK4644(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43301,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2221(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43300])).
% 58.08/9.40 tff(f43300,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2221(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37521])).
% 58.08/9.40 tff(f37521,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2221(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2221])])).
% 58.08/9.40 tff(f108499,plain,(
% 58.08/9.40 spl5880_4823),
% 58.08/9.40 inference(avatar_split_clause,[],[f60800,f108497])).
% 58.08/9.40 tff(f108497,plain,(
% 58.08/9.40 spl5880_4823 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : vEBT_VEBT] : (iG1260(X0,sK4632(X0,X1,X2),sK4631(X0,X1,X2)) = X1 | ~sP2214(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4823])])).
% 58.08/9.40 tff(f60800,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : vEBT_VEBT] : (iG1260(X0,sK4632(X0,X1,X2),sK4631(X0,X1,X2)) = X1 | ~sP2214(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43292])).
% 58.08/9.40 tff(f108495,plain,(
% 58.08/9.40 spl5880_4822),
% 58.08/9.40 inference(avatar_split_clause,[],[f60785,f108493])).
% 58.08/9.40 tff(f108493,plain,(
% 58.08/9.40 spl5880_4822 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1246(X1,sK4613(X0,X1,X2),sK4612(X0,X1,X2)) = X0 | ~sP2211(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4822])])).
% 58.08/9.40 tff(f60785,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1246(X1,sK4613(X0,X1,X2),sK4612(X0,X1,X2)) = X0 | ~sP2211(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43272])).
% 58.08/9.40 tff(f108491,plain,(
% 58.08/9.40 spl5880_4821),
% 58.08/9.40 inference(avatar_split_clause,[],[f60705,f108489])).
% 58.08/9.40 tff(f108489,plain,(
% 58.08/9.40 spl5880_4821 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4535(X1))) = X1 | ~sP2192(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4821])])).
% 58.08/9.40 tff(f60705,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4535(X1))) = X1 | ~sP2192(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43173])).
% 58.08/9.40 tff(f108487,plain,(
% 58.08/9.40 spl5880_4820),
% 58.08/9.40 inference(avatar_split_clause,[],[f60702,f108485])).
% 58.08/9.40 tff(f108485,plain,(
% 58.08/9.40 spl5880_4820 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4530(X1),sK4531(X1),sK4532(X1)) = X1 | ~sP2193(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4820])])).
% 58.08/9.40 tff(f60702,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4530(X1),sK4531(X1),sK4532(X1)) = X1 | ~sP2193(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43168])).
% 58.08/9.40 tff(f43168,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4530(X1),sK4531(X1),sK4532(X1)) = X1) | ~sP2193(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4530,sK4531,sK4532])],[f43166,f43167])).
% 58.08/9.40 tff(f43167,plain,(
% 58.08/9.40 ! [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)),sK4530(X1),sK4531(X1),sK4532(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43166,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2193(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43165])).
% 58.08/9.40 tff(f43165,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2193(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37487])).
% 58.08/9.40 tff(f37487,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2193(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2193])])).
% 58.08/9.40 tff(f108483,plain,(
% 58.08/9.40 spl5880_4819),
% 58.08/9.40 inference(avatar_split_clause,[],[f60688,f108481])).
% 58.08/9.40 tff(f108481,plain,(
% 58.08/9.40 spl5880_4819 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4512(X1))) = X1 | ~sP2187(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4819])])).
% 58.08/9.40 tff(f60688,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK4512(X1))) = X1 | ~sP2187(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43148])).
% 58.08/9.40 tff(f43148,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,aa(nat,nat,suc,sK4512(X1))) = X1 & vEBT_Leaf(bG1167(sK4513(X2)),bG1168(sK4514(X2))) = X2) | ~sP2187(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4512,sK4513,sK4514])],[f43145,f43147,f43146])).
% 58.08/9.40 tff(f43146,plain,(
% 58.08/9.40 ! [X1 : nat] : (? [X3 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X3)) = X1 => aa(nat,nat,suc,aa(nat,nat,suc,sK4512(X1))) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43147,plain,(
% 58.08/9.40 ! [X2 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1167(X4),bG1168(X5)) = X2 => vEBT_Leaf(bG1167(sK4513(X2)),bG1168(sK4514(X2))) = X2)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43145,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X3 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X3)) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1167(X4),bG1168(X5)) = X2) | ~sP2187(X0,X1,X2))),
% 58.08/9.40 inference(rectify,[],[f43144])).
% 58.08/9.40 tff(f43144,plain,(
% 58.08/9.40 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & ? [X7 : $o,X8 : $o] : vEBT_Leaf(bG1167(X7),bG1168(X8)) = X0) | ~sP2187(X2,X1,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37480])).
% 58.08/9.40 tff(f37480,plain,(
% 58.08/9.40 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X9 : nat] : aa(nat,nat,suc,aa(nat,nat,suc,X9)) = X1 & ? [X7 : $o,X8 : $o] : vEBT_Leaf(bG1167(X7),bG1168(X8)) = X0) | ~sP2187(X2,X1,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2187])])).
% 58.08/9.40 tff(f108479,plain,(
% 58.08/9.40 spl5880_4818),
% 58.08/9.40 inference(avatar_split_clause,[],[f60685,f108477])).
% 58.08/9.40 tff(f108477,plain,(
% 58.08/9.40 spl5880_4818 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4509(X1),sK4510(X1),sK4511(X1)) = X1 | ~sP2188(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4818])])).
% 58.08/9.40 tff(f60685,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4509(X1),sK4510(X1),sK4511(X1)) = X1 | ~sP2188(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43143])).
% 58.08/9.40 tff(f43143,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4509(X1),sK4510(X1),sK4511(X1)) = X1) | ~sP2188(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4509,sK4510,sK4511])],[f43141,f43142])).
% 58.08/9.40 tff(f43142,plain,(
% 58.08/9.40 ! [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)),sK4509(X1),sK4510(X1),sK4511(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43141,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2188(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43140])).
% 58.08/9.40 tff(f43140,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2188(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37481])).
% 58.08/9.40 tff(f37481,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2188(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2188])])).
% 58.08/9.40 tff(f108475,plain,(
% 58.08/9.40 spl5880_4817),
% 58.08/9.40 inference(avatar_split_clause,[],[f60606,f108473])).
% 58.08/9.40 tff(f108473,plain,(
% 58.08/9.40 spl5880_4817 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4420(X1),sK4421(X1),sK4422(X1)) = X1 | ~sP2166(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4817])])).
% 58.08/9.40 tff(f60606,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4420(X1),sK4421(X1),sK4422(X1)) = X1 | ~sP2166(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43039])).
% 58.08/9.40 tff(f43039,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4420(X1),sK4421(X1),sK4422(X1)) = X1) | ~sP2166(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4420,sK4421,sK4422])],[f43037,f43038])).
% 58.08/9.40 tff(f43038,plain,(
% 58.08/9.40 ! [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)),sK4420(X1),sK4421(X1),sK4422(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43037,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2166(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43036])).
% 58.08/9.40 tff(f43036,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2166(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37454])).
% 58.08/9.40 tff(f37454,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2166(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2166])])).
% 58.08/9.40 tff(f108471,plain,(
% 58.08/9.40 spl5880_4816),
% 58.08/9.40 inference(avatar_split_clause,[],[f60592,f108469])).
% 58.08/9.40 tff(f108469,plain,(
% 58.08/9.40 spl5880_4816 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4401(X1),sK4402(X1),sK4403(X1)) = X1 | ~sP2162(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4816])])).
% 58.08/9.40 tff(f60592,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4401(X1),sK4402(X1),sK4403(X1)) = X1 | ~sP2162(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f43018])).
% 58.08/9.40 tff(f43018,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4401(X1),sK4402(X1),sK4403(X1)) = X1) | ~sP2162(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4401,sK4402,sK4403])],[f43016,f43017])).
% 58.08/9.40 tff(f43017,plain,(
% 58.08/9.40 ! [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)),sK4401(X1),sK4402(X1),sK4403(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f43016,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2162(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f43015])).
% 58.08/9.40 tff(f43015,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2162(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37449])).
% 58.08/9.40 tff(f37449,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2162(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2162])])).
% 58.08/9.40 tff(f108466,plain,(
% 58.08/9.40 spl5880_4815 | ~spl5880_1550 | spl5880_3080),
% 58.08/9.40 inference(avatar_split_clause,[],[f95559,f95553,f86378,f108463])).
% 58.08/9.40 tff(f108463,plain,(
% 58.08/9.40 spl5880_4815 <=> ($false = bG323(iG714($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4815])])).
% 58.08/9.40 tff(f86378,plain,(
% 58.08/9.40 spl5880_1550 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1550])])).
% 58.08/9.40 tff(f95553,plain,(
% 58.08/9.40 spl5880_3080 <=> ($true = bG323(iG714($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_3080])])).
% 58.08/9.40 tff(f95559,plain,(
% 58.08/9.40 ($false = bG323(iG714($true))) | (~spl5880_1550 | spl5880_3080)),
% 58.08/9.40 inference(trivial_inequality_removal,[],[f95558])).
% 58.08/9.40 tff(f95558,plain,(
% 58.08/9.40 ($true != $true) | ($false = bG323(iG714($true))) | (~spl5880_1550 | spl5880_3080)),
% 58.08/9.40 inference(superposition,[],[f95555,f86379])).
% 58.08/9.40 tff(f86379,plain,(
% 58.08/9.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl5880_1550),
% 58.08/9.40 inference(avatar_component_clause,[],[f86378])).
% 58.08/9.40 tff(f95555,plain,(
% 58.08/9.40 ($true != bG323(iG714($true))) | spl5880_3080),
% 58.08/9.40 inference(avatar_component_clause,[],[f95553])).
% 58.08/9.40 tff(f108461,plain,(
% 58.08/9.40 spl5880_4814),
% 58.08/9.40 inference(avatar_split_clause,[],[f60557,f108459])).
% 58.08/9.40 tff(f108459,plain,(
% 58.08/9.40 spl5880_4814 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4353(X1),sK4354(X1),sK4355(X1)) = X1 | ~sP2151(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4814])])).
% 58.08/9.40 tff(f60557,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4353(X1),sK4354(X1),sK4355(X1)) = X1 | ~sP2151(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42966])).
% 58.08/9.40 tff(f42966,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4353(X1),sK4354(X1),sK4355(X1)) = X1) | ~sP2151(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4353,sK4354,sK4355])],[f42964,f42965])).
% 58.08/9.40 tff(f42965,plain,(
% 58.08/9.40 ! [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)),sK4353(X1),sK4354(X1),sK4355(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42964,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2151(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f42963])).
% 58.08/9.40 tff(f42963,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2151(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37435])).
% 58.08/9.40 tff(f37435,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2151(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2151])])).
% 58.08/9.40 tff(f108457,plain,(
% 58.08/9.40 spl5880_4813),
% 58.08/9.40 inference(avatar_split_clause,[],[f60532,f108455])).
% 58.08/9.40 tff(f108455,plain,(
% 58.08/9.40 spl5880_4813 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4321(X1),sK4322(X1),sK4323(X1)) = X1 | ~sP2144(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4813])])).
% 58.08/9.40 tff(f60532,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK4321(X1),sK4322(X1),sK4323(X1)) = X1 | ~sP2144(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42930])).
% 58.08/9.40 tff(f42930,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK4321(X1),sK4322(X1),sK4323(X1)) = X1) | ~sP2144(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4321,sK4322,sK4323])],[f42928,f42929])).
% 58.08/9.40 tff(f42929,plain,(
% 58.08/9.40 ! [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)),sK4321(X1),sK4322(X1),sK4323(X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42928,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2144(X0,X1))),
% 58.08/9.40 inference(rectify,[],[f42927])).
% 58.08/9.40 tff(f42927,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2144(X2,X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f37426])).
% 58.08/9.40 tff(f37426,plain,(
% 58.08/9.40 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2144(X2,X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2144])])).
% 58.08/9.40 tff(f108453,plain,(
% 58.08/9.40 spl5880_4812),
% 58.08/9.40 inference(avatar_split_clause,[],[f60518,f108451])).
% 58.08/9.40 tff(f108451,plain,(
% 58.08/9.40 spl5880_4812 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,sK4313(X0,X1,X2)) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4812])])).
% 58.08/9.40 tff(f60518,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,sK4313(X0,X1,X2)) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42916])).
% 58.08/9.40 tff(f42916,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : ((sorted_wrt(X0,X1,sK4313(X0,X1,X2)) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,sK4312(X0,X1,X2)),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),sK4313(X0,X1,X2)))) & aa(list(X0),list(X0),cons(X0,sK4312(X0,X1,X2)),sK4313(X0,X1,X2)) = X2) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4312,sK4313])],[f35140,f42915])).
% 58.08/9.40 tff(f42915,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X4))) & aa(list(X0),list(X0),cons(X0,X3),X4) = X2) => (sorted_wrt(X0,X1,sK4313(X0,X1,X2)) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,sK4312(X0,X1,X2)),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),sK4313(X0,X1,X2)))) & aa(list(X0),list(X0),cons(X0,sK4312(X0,X1,X2)),sK4313(X0,X1,X2)) = X2))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f35140,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X4))) & aa(list(X0),list(X0),cons(X0,X3),X4) = X2) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 58.08/9.40 inference(flattening,[],[f35139])).
% 58.08/9.40 tff(f35139,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : ((? [X3 : X0,X4 : list(X0)] : ((sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X4)))) & aa(list(X0),list(X0),cons(X0,X3),X4) = X2) | nil(X0) = X2) | ~sorted_wrt(X0,X1,X2))),
% 58.08/9.40 inference(ennf_transformation,[],[f17359])).
% 58.08/9.40 tff(f17359,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : (sorted_wrt(X0,X1,X2) => (nil(X0) != X2 => ~! [X3 : X0,X4 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X3),X4) = X2 => ~(sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (member(X0,X5,aa(list(X0),set(X0),set2(X0),X4)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)))))))),
% 58.08/9.40 inference(fool_elimination,[],[f17358])).
% 58.08/9.40 tff(f17358,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0)] : (sorted_wrt(X0,X1,X2) => (nil(X0) != X2 => ~! [X3 : X0,X4 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X3),X4) = X2 => ~(sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (member(X0,X5,aa(list(X0),set(X0),set2(X0),X4)) => aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5))))))),
% 58.08/9.40 inference(rectify,[],[f8064])).
% 58.08/9.40 tff(f8064,axiom,(
% 58.08/9.40 ! [X0 : $tType,X9 : fun(X0,fun(X0,$o)),X111 : list(X0)] : (sorted_wrt(X0,X9,X111) => (nil(X0) != X111 => ~! [X29 : X0,X367 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X29),X367) = X111 => ~(sorted_wrt(X0,X9,X367) & ! [X98 : X0] : (member(X0,X98,aa(list(X0),set(X0),set2(X0),X367)) => aa(X0,$o,aa(X0,fun(X0,$o),X9,X29),X98))))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8063_sorted__wrt_Oelims_I2_J)).
% 58.08/9.40 tff(f108449,plain,(
% 58.08/9.40 spl5880_4811),
% 58.08/9.40 inference(avatar_split_clause,[],[f60514,f108447])).
% 58.08/9.40 tff(f108447,plain,(
% 58.08/9.40 spl5880_4811 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2140(X0,X1,X2) | sP2141(X0,X1,X2) | zero_zero(int) = X1 | ~eucl_rel_int(X0,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4811])])).
% 58.08/9.40 tff(f60514,plain,(
% 58.08/9.40 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2140(X0,X1,X2) | sP2141(X0,X1,X2) | zero_zero(int) = X1 | ~eucl_rel_int(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f37422])).
% 58.08/9.40 tff(f37422,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (sP2140(X0,X1,X2) | sP2141(X0,X1,X2) | (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X0) = X2 & zero_zero(int) = X1) | ~eucl_rel_int(X0,X1,X2))),
% 58.08/9.40 inference(definition_folding,[],[f35138,f37421,f37420])).
% 58.08/9.40 tff(f37420,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),X4) = X2) | ~sP2140(X0,X1,X2))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2140])])).
% 58.08/9.40 tff(f37421,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2) | ~sP2141(X0,X1,X2))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2141])])).
% 58.08/9.40 tff(f35138,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),X4) = X2) | ? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2) | (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X0) = X2 & zero_zero(int) = X1) | ~eucl_rel_int(X0,X1,X2))),
% 58.08/9.40 inference(flattening,[],[f35137])).
% 58.08/9.40 tff(f35137,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (((? [X4 : int,X5 : int] : (((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1)))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4)) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),X4) = X2) | ? [X3 : int] : ((aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2)) | (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X0) = X2 & zero_zero(int) = X1)) | ~eucl_rel_int(X0,X1,X2))),
% 58.08/9.40 inference(ennf_transformation,[],[f17357])).
% 58.08/9.40 tff(f17357,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) => ((zero_zero(int) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X0) != X2) => (! [X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2 => (zero_zero(int) != X1 => aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) != X0)) => ~! [X4 : int,X5 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),X4) = X2 => (aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) => (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) != X0))))))),
% 58.08/9.40 inference(fool_elimination,[],[f17356])).
% 58.08/9.40 tff(f17356,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) => ((zero_zero(int) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X0) != X2) => (! [X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2 => (zero_zero(int) != X1 => aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) != X0)) => ~! [X4 : int,X5 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),X4) = X2 => (aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) => (aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1)) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) != X0))))))),
% 58.08/9.40 inference(rectify,[],[f4733])).
% 58.08/9.40 tff(f4733,axiom,(
% 58.08/9.40 ! [X190 : int,X191 : int,X240 : product_prod(int,int)] : (eucl_rel_int(X190,X191,X240) => ((zero_zero(int) = X191 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X190) != X240) => (! [X48 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X48),zero_zero(int)) = X240 => (zero_zero(int) != X191 => aa(int,int,aa(int,fun(int,int),times_times(int),X48),X191) != X190)) => ~! [X201 : int,X48 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X48),X201) = X240 => (aa(int,int,sgn_sgn(int),X201) = aa(int,int,sgn_sgn(int),X191) => (aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X201)),aa(int,int,abs_abs(int),X191)) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X48),X191)),X201) != X190))))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4732_eucl__rel__int_Ocases)).
% 58.08/9.40 tff(f108445,plain,(
% 58.08/9.40 spl5880_4810),
% 58.08/9.40 inference(avatar_split_clause,[],[f60396,f108443])).
% 58.08/9.40 tff(f108443,plain,(
% 58.08/9.40 spl5880_4810 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : ((aa(nat,$o,vEBT_vebt_member(X0),X2) = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4810])])).
% 58.08/9.40 tff(f60396,plain,(
% 58.08/9.40 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : ((aa(nat,$o,vEBT_vebt_member(X0),X2) = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f35043])).
% 58.08/9.40 tff(f35043,plain,(
% 58.08/9.40 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : ((aa(nat,$o,vEBT_vebt_member(X0),X2) = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.40 inference(ennf_transformation,[],[f17286])).
% 58.08/9.40 tff(f17286,plain,(
% 58.08/9.40 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => (aa(nat,$o,vEBT_vebt_member(X0),X2) = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2)))),
% 58.08/9.40 inference(fool_elimination,[],[f17285])).
% 58.08/9.40 tff(f17285,plain,(
% 58.08/9.40 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => (aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) <=> aa(nat,$o,vEBT_vebt_member(X0),X2)))),
% 58.08/9.40 inference(rectify,[],[f75])).
% 58.08/9.40 tff(f75,axiom,(
% 58.08/9.40 ! [X7 : vEBT_VEBT,X8 : nat,X9 : nat] : (vEBT_invar_vebt(X7,X8) => (aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X9) <=> aa(nat,$o,vEBT_vebt_member(X7),X9)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_both__member__options__equiv__member)).
% 58.08/9.40 tff(f108440,plain,(
% 58.08/9.40 spl5880_4809),
% 58.08/9.40 inference(avatar_split_clause,[],[f60068,f108438])).
% 58.08/9.40 tff(f108438,plain,(
% 58.08/9.40 spl5880_4809 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),map_of(X0,X1,nil(product_prod(X0,X1))),X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4809])])).
% 58.08/9.40 tff(f60068,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (none(X1) = aa(X0,option(X1),map_of(X0,X1,nil(product_prod(X0,X1))),X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f26301])).
% 58.08/9.40 tff(f26301,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),map_of(X0,X1,nil(product_prod(X0,X1))),X2)),
% 58.08/9.40 inference(rectify,[],[f7893])).
% 58.08/9.40 tff(f7893,axiom,(
% 58.08/9.40 ! [X0 : $tType,X1 : $tType,X50 : X0] : none(X1) = aa(X0,option(X1),map_of(X0,X1,nil(product_prod(X0,X1))),X50)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7892_map__of_Osimps_I1_J)).
% 58.08/9.40 tff(f108436,plain,(
% 58.08/9.40 spl5880_4808),
% 58.08/9.40 inference(avatar_split_clause,[],[f59727,f108434])).
% 58.08/9.40 tff(f108434,plain,(
% 58.08/9.40 spl5880_4808 <=> ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1)) | ~dvd_dvd(nat,X1,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4808])])).
% 58.08/9.40 tff(f59727,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1)) | ~dvd_dvd(nat,X1,X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42636])).
% 58.08/9.40 tff(f42636,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : ((($true = aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1)) | ~dvd_dvd(nat,X1,X0)) & (dvd_dvd(nat,X1,X0) | ($true != aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1))))),
% 58.08/9.40 inference(nnf_transformation,[],[f16684])).
% 58.08/9.40 tff(f16684,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1)) <=> dvd_dvd(nat,X1,X0))),
% 58.08/9.40 inference(fool_elimination,[],[f16683])).
% 58.08/9.40 tff(f16683,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1) <=> dvd_dvd(nat,X1,X0))),
% 58.08/9.40 inference(rectify,[],[f8386])).
% 58.08/9.40 tff(f8386,axiom,(
% 58.08/9.40 ! [X105 : nat,X448 : nat] : (aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X105),X448) <=> dvd_dvd(nat,X448,X105))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8385_ATP_Olambda__205)).
% 58.08/9.40 tff(f108432,plain,(
% 58.08/9.40 spl5880_4807),
% 58.08/9.40 inference(avatar_split_clause,[],[f59726,f108430])).
% 58.08/9.40 tff(f108430,plain,(
% 58.08/9.40 spl5880_4807 <=> ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X1,X0) | ($true != aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4807])])).
% 58.08/9.40 tff(f59726,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X1,X0) | ($true != aa(nat,$o,aTP_Lamp_bb(nat,fun(nat,$o),X0),X1))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42636])).
% 58.08/9.40 tff(f108428,plain,(
% 58.08/9.40 spl5880_4806),
% 58.08/9.40 inference(avatar_split_clause,[],[f59701,f108426])).
% 58.08/9.40 tff(f108426,plain,(
% 58.08/9.40 spl5880_4806 <=> ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1)) | nil(X0) = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4806])])).
% 58.08/9.40 tff(f59701,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1)) | nil(X0) = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42622])).
% 58.08/9.40 tff(f42622,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : ((($true = aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1)) | nil(X0) = X1) & (nil(X0) != X1 | ($true != aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1))))),
% 58.08/9.40 inference(nnf_transformation,[],[f16668])).
% 58.08/9.40 tff(f16668,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1)) <=> nil(X0) != X1)),
% 58.08/9.40 inference(fool_elimination,[],[f16667])).
% 58.08/9.40 tff(f16667,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1) <=> nil(X0) != X1)),
% 58.08/9.40 inference(rectify,[],[f8206])).
% 58.08/9.40 tff(f8206,axiom,(
% 58.08/9.40 ! [X0 : $tType,X105 : list(X0)] : (aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X105) <=> nil(X0) != X105)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8205_ATP_Olambda__25)).
% 58.08/9.40 tff(f108424,plain,(
% 58.08/9.40 spl5880_4805),
% 58.08/9.40 inference(avatar_split_clause,[],[f59699,f108422])).
% 58.08/9.40 tff(f108422,plain,(
% 58.08/9.40 spl5880_4805 <=> ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1)) | nil(X0) = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4805])])).
% 58.08/9.40 tff(f59699,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1)) | nil(X0) = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42621])).
% 58.08/9.40 tff(f42621,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : ((($true = aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1)) | nil(X0) = X1) & (nil(X0) != X1 | ($true != aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1))))),
% 58.08/9.40 inference(nnf_transformation,[],[f16666])).
% 58.08/9.40 tff(f16666,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : (($true = aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1)) <=> nil(X0) != X1)),
% 58.08/9.40 inference(fool_elimination,[],[f16665])).
% 58.08/9.40 tff(f16665,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(X0)] : (aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1) <=> nil(X0) != X1)),
% 58.08/9.40 inference(rectify,[],[f8205])).
% 58.08/9.40 tff(f8205,axiom,(
% 58.08/9.40 ! [X1 : $tType,X105 : list(X1)] : (aa(list(X1),$o,aTP_Lamp_afs(list(X1),$o),X105) <=> nil(X1) != X105)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8204_ATP_Olambda__24)).
% 58.08/9.40 tff(f108420,plain,(
% 58.08/9.40 spl5880_4804 | ~spl5880_1474 | ~spl5880_2326),
% 58.08/9.40 inference(avatar_split_clause,[],[f92705,f90279,f85935,f108417])).
% 58.08/9.40 tff(f85935,plain,(
% 58.08/9.40 spl5880_1474 <=> sn76 = lG1832(summary,h79)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1474])])).
% 58.08/9.40 tff(f92705,plain,(
% 58.08/9.40 sn76 = lG1811(summary,h79) | (~spl5880_1474 | ~spl5880_2326)),
% 58.08/9.40 inference(superposition,[],[f90280,f85937])).
% 58.08/9.40 tff(f85937,plain,(
% 58.08/9.40 sn76 = lG1832(summary,h79) | ~spl5880_1474),
% 58.08/9.40 inference(avatar_component_clause,[],[f85935])).
% 58.08/9.40 tff(f108415,plain,(
% 58.08/9.40 spl5880_4803),
% 58.08/9.40 inference(avatar_split_clause,[],[f59478,f108413])).
% 58.08/9.40 tff(f108413,plain,(
% 58.08/9.40 spl5880_4803 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) | nil(X0) != sK4188(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4803])])).
% 58.08/9.40 tff(f59478,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) | nil(X0) != sK4188(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42447])).
% 58.08/9.40 tff(f42447,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | (nil(X0) != sK4188(X0,X1) & member(list(X0),sK4188(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(list(X0)) != transpose(X0,X1)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4188])],[f42445,f42446])).
% 58.08/9.40 tff(f42446,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (nil(X0) != sK4188(X0,X1) & member(list(X0),sK4188(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42445,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(list(X0)) != transpose(X0,X1)))),
% 58.08/9.40 inference(rectify,[],[f42444])).
% 58.08/9.40 tff(f42444,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(list(X0)) != transpose(X0,X1)))),
% 58.08/9.40 inference(nnf_transformation,[],[f34950])).
% 58.08/9.40 tff(f34950,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.40 inference(ennf_transformation,[],[f26216])).
% 58.08/9.40 tff(f26216,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) <=> ! [X2 : list(X0)] : (member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => nil(X0) = X2))),
% 58.08/9.40 inference(rectify,[],[f7929])).
% 58.08/9.40 tff(f7929,axiom,(
% 58.08/9.40 ! [X0 : $tType,X64 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X64) <=> ! [X65 : list(X0)] : (member(list(X0),X65,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) => nil(X0) = X65))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7928_transpose__empty)).
% 58.08/9.40 tff(f108411,plain,(
% 58.08/9.40 spl5880_4802),
% 58.08/9.40 inference(avatar_split_clause,[],[f59373,f108409])).
% 58.08/9.40 tff(f108409,plain,(
% 58.08/9.40 spl5880_4802 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | member(vEBT_VEBT,sK4172(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4802])])).
% 58.08/9.40 tff(f59373,plain,(
% 58.08/9.40 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | member(vEBT_VEBT,sK4172(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42366])).
% 58.08/9.40 tff(f42366,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP2099(X0,X1,X2) | ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),sK4173(X0))) & member(vEBT_VEBT,sK4172(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | X1 != X2 | ~sP2099(X0,X1,X2)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4172,sK4173])],[f42363,f42365,f42364])).
% 58.08/9.40 tff(f42364,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),X4)) & member(vEBT_VEBT,sK4172(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42365,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),X4)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),sK4173(X0))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42363,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP2099(X0,X1,X2) | (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | X1 != X2 | ~sP2099(X0,X1,X2)))),
% 58.08/9.40 inference(rectify,[],[f42362])).
% 58.08/9.40 tff(f42362,plain,(
% 58.08/9.40 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP2099(X14,X18,X17) | (? [X21 : vEBT_VEBT] : (? [X22 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) & member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & X17 = X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) | ~member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | X17 != X18 | ~sP2099(X14,X18,X17)))),
% 58.08/9.40 inference(flattening,[],[f42361])).
% 58.08/9.40 tff(f42361,plain,(
% 58.08/9.40 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP2099(X14,X18,X17) | (? [X21 : vEBT_VEBT] : (? [X22 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) & member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & X17 = X18)) & ((! [X21 : vEBT_VEBT] : (! [X22 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) | ~member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | X17 != X18) | ~sP2099(X14,X18,X17)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37358])).
% 58.08/9.40 tff(f37358,plain,(
% 58.08/9.40 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : (sP2099(X14,X18,X17) <=> (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) | ~member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | X17 != X18))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2099])])).
% 58.08/9.40 tff(f108407,plain,(
% 58.08/9.40 spl5880_4801),
% 58.08/9.40 inference(avatar_split_clause,[],[f59353,f108405])).
% 58.08/9.40 tff(f108405,plain,(
% 58.08/9.40 spl5880_4801 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | member(vEBT_VEBT,sK4165(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4801])])).
% 58.08/9.40 tff(f59353,plain,(
% 58.08/9.40 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | member(vEBT_VEBT,sK4165(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42344])).
% 58.08/9.40 tff(f42344,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP2103(X0,X1,X2) | ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),sK4166(X0))) & member(vEBT_VEBT,sK4165(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | X1 != X2 | ~sP2103(X0,X1,X2)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4165,sK4166])],[f42341,f42343,f42342])).
% 58.08/9.40 tff(f42342,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),X4)) & member(vEBT_VEBT,sK4165(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42343,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),X4)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),sK4166(X0))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42341,plain,(
% 58.08/9.40 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP2103(X0,X1,X2) | (? [X3 : vEBT_VEBT] : (? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X4)) & member(vEBT_VEBT,X3,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | X1 != X2 | ~sP2103(X0,X1,X2)))),
% 58.08/9.40 inference(rectify,[],[f42340])).
% 58.08/9.40 tff(f42340,plain,(
% 58.08/9.40 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP2103(X2,X6,X5) | (? [X9 : vEBT_VEBT] : (? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X5 = X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X5 != X6 | ~sP2103(X2,X6,X5)))),
% 58.08/9.40 inference(flattening,[],[f42339])).
% 58.08/9.40 tff(f42339,plain,(
% 58.08/9.40 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP2103(X2,X6,X5) | (? [X9 : vEBT_VEBT] : (? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X5 = X6)) & ((! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X5 != X6) | ~sP2103(X2,X6,X5)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37362])).
% 58.08/9.40 tff(f37362,plain,(
% 58.08/9.40 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : (sP2103(X2,X6,X5) <=> (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X5 != X6))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2103])])).
% 58.08/9.40 tff(f108403,plain,(
% 58.08/9.40 spl5880_4800),
% 58.08/9.40 inference(avatar_split_clause,[],[f59326,f108401])).
% 58.08/9.40 tff(f108401,plain,(
% 58.08/9.40 spl5880_4800 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2097(sK4146(X0,X1),sK4147(X0,X1),sK4149(X0,X1),sK4150(X0,X1)) | ~sP2106(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4800])])).
% 58.08/9.40 tff(f59326,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2097(sK4146(X0,X1),sK4147(X0,X1),sK4149(X0,X1),sK4150(X0,X1)) | ~sP2106(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42322])).
% 58.08/9.40 tff(f42322,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2106(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP2097(X2,X3,X5,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) | ~sP2099(X2,X6,X5) | ~sP2098(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3) | ~vEBT_invar_vebt(X4,X3) | (~vEBT_invar_vebt(sK4145(X2,X3),X3) & member(vEBT_VEBT,sK4145(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X0,X2,X4) != X1)) & ((sP2097(sK4146(X0,X1),sK4147(X0,X1),sK4149(X0,X1),sK4150(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4150(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4149(X0,X1)),sK4150(X0,X1))) & sP2099(sK4146(X0,X1),sK4150(X0,X1),sK4149(X0,X1)) & sP2098(sK4148(X0,X1),sK4146(X0,X1),sK4147(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4147(X0,X1)),sK4147(X0,X1)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4146(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4147(X0,X1)) & vEBT_invar_vebt(sK4148(X0,X1),sK4147(X0,X1)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK4147(X0,X1)) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4146(X0,X1)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4149(X0,X1)),sK4150(X0,X1))),X0,sK4146(X0,X1),sK4148(X0,X1)) = X1) | ~sP2106(X0,X1)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4145,sK4146,sK4147,sK4148,sK4149,sK4150])],[f42319,f42321,f42320])).
% 58.08/9.40 tff(f42320,plain,(
% 58.08/9.40 ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (~vEBT_invar_vebt(sK4145(X2,X3),X3) & member(vEBT_VEBT,sK4145(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42321,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP2097(X8,X9,X11,X12) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))),X0))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X11),X12) = $true) & sP2099(X8,X12,X11) & sP2098(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X9) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X9) & vEBT_invar_vebt(X10,X9) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X11),X12)),X0,X8,X10) = X1) => (sP2097(sK4146(X0,X1),sK4147(X0,X1),sK4149(X0,X1),sK4150(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4150(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4149(X0,X1)),sK4150(X0,X1))) & sP2099(sK4146(X0,X1),sK4150(X0,X1),sK4149(X0,X1)) & sP2098(sK4148(X0,X1),sK4146(X0,X1),sK4147(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4147(X0,X1)),sK4147(X0,X1)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4146(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK4147(X0,X1)) & vEBT_invar_vebt(sK4148(X0,X1),sK4147(X0,X1)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK4147(X0,X1)) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4146(X0,X1)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4149(X0,X1)),sK4150(X0,X1))),X0,sK4146(X0,X1),sK4148(X0,X1)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42319,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2106(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP2097(X2,X3,X5,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) | ~sP2099(X2,X6,X5) | ~sP2098(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3) | ~vEBT_invar_vebt(X4,X3) | ? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X0,X2,X4) != X1)) & (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP2097(X8,X9,X11,X12) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))),X0))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X11),X12) = $true) & sP2099(X8,X12,X11) & sP2098(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X9) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X9) & vEBT_invar_vebt(X10,X9) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X11),X12)),X0,X8,X10) = X1) | ~sP2106(X0,X1)))),
% 58.08/9.40 inference(rectify,[],[f42318])).
% 58.08/9.40 tff(f42318,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : vEBT_VEBT] : ((sP2106(X1,X0) | ! [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (~sP2097(X14,X15,X17,X18) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) | ~sP2099(X14,X18,X17) | ~sP2098(X16,X14,X15) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) != X1 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) | ~vEBT_invar_vebt(X16,X15) | ? [X25 : vEBT_VEBT] : (~vEBT_invar_vebt(X25,X15) & member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) != X0)) & (? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (sP2097(X14,X15,X17,X18) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) & sP2099(X14,X18,X17) & sP2098(X16,X14,X15) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0) | ~sP2106(X1,X0)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37365])).
% 58.08/9.40 tff(f37365,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : vEBT_VEBT] : (sP2106(X1,X0) <=> ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (sP2097(X14,X15,X17,X18) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) & sP2099(X14,X18,X17) & sP2098(X16,X14,X15) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2106])])).
% 58.08/9.40 tff(f108399,plain,(
% 58.08/9.40 spl5880_4799),
% 58.08/9.40 inference(avatar_split_clause,[],[f59314,f108397])).
% 58.08/9.40 tff(f108397,plain,(
% 58.08/9.40 spl5880_4799 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2101(sK4140(X0,X1),sK4141(X0,X1),sK4143(X0,X1),sK4144(X0,X1)) | ~sP2107(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4799])])).
% 58.08/9.40 tff(f59314,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2101(sK4140(X0,X1),sK4141(X0,X1),sK4143(X0,X1),sK4144(X0,X1)) | ~sP2107(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42317])).
% 58.08/9.40 tff(f42317,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2107(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP2101(X2,X3,X5,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) | ~sP2103(X2,X6,X5) | ~sP2102(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | (~vEBT_invar_vebt(sK4139(X2,X3),X3) & member(vEBT_VEBT,sK4139(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X0,X2,X4) != X1)) & ((sP2101(sK4140(X0,X1),sK4141(X0,X1),sK4143(X0,X1),sK4144(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4144(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4143(X0,X1)),sK4144(X0,X1))) & sP2103(sK4140(X0,X1),sK4144(X0,X1),sK4143(X0,X1)) & sP2102(sK4142(X0,X1),sK4140(X0,X1),sK4141(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4141(X0,X1)),aa(nat,nat,suc,sK4141(X0,X1))) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,sK4141(X0,X1))) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4140(X0,X1)) & vEBT_invar_vebt(sK4142(X0,X1),aa(nat,nat,suc,sK4141(X0,X1))) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK4141(X0,X1)) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4140(X0,X1)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4143(X0,X1)),sK4144(X0,X1))),X0,sK4140(X0,X1),sK4142(X0,X1)) = X1) | ~sP2107(X0,X1)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4139,sK4140,sK4141,sK4142,sK4143,sK4144])],[f42314,f42316,f42315])).
% 58.08/9.40 tff(f42315,plain,(
% 58.08/9.40 ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => (~vEBT_invar_vebt(sK4139(X2,X3),X3) & member(vEBT_VEBT,sK4139(X2,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42316,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP2101(X8,X9,X11,X12) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))),X0))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X11),X12) = $true) & sP2103(X8,X12,X11) & sP2102(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),aa(nat,nat,suc,X9)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X9)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,aa(nat,nat,suc,X9)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X11),X12)),X0,X8,X10) = X1) => (sP2101(sK4140(X0,X1),sK4141(X0,X1),sK4143(X0,X1),sK4144(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4144(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4143(X0,X1)),sK4144(X0,X1))) & sP2103(sK4140(X0,X1),sK4144(X0,X1),sK4143(X0,X1)) & sP2102(sK4142(X0,X1),sK4140(X0,X1),sK4141(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK4141(X0,X1)),aa(nat,nat,suc,sK4141(X0,X1))) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,sK4141(X0,X1))) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK4140(X0,X1)) & vEBT_invar_vebt(sK4142(X0,X1),aa(nat,nat,suc,sK4141(X0,X1))) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK4141(X0,X1)) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK4140(X0,X1)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4143(X0,X1)),sK4144(X0,X1))),X0,sK4140(X0,X1),sK4142(X0,X1)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42314,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2107(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP2101(X2,X3,X5,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) | ~sP2103(X2,X6,X5) | ~sP2102(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X0,X2,X4) != X1)) & (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP2101(X8,X9,X11,X12) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))),X0))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X11),X12) = $true) & sP2103(X8,X12,X11) & sP2102(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),aa(nat,nat,suc,X9)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X9)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,aa(nat,nat,suc,X9)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X11),X12)),X0,X8,X10) = X1) | ~sP2107(X0,X1)))),
% 58.08/9.40 inference(rectify,[],[f42313])).
% 58.08/9.40 tff(f42313,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : vEBT_VEBT] : ((sP2107(X1,X0) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP2101(X2,X3,X5,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) | ~sP2103(X2,X6,X5) | ~sP2102(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X1 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X13 : vEBT_VEBT] : (~vEBT_invar_vebt(X13,X3) & member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) != X0)) & (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (sP2101(X2,X3,X5,X6) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) & sP2103(X2,X6,X5) & sP2102(X4,X2,X3) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0) | ~sP2107(X1,X0)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37366])).
% 58.08/9.40 tff(f37366,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : vEBT_VEBT] : (sP2107(X1,X0) <=> ? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (sP2101(X2,X3,X5,X6) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) & sP2103(X2,X6,X5) & sP2102(X4,X2,X3) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2107])])).
% 58.08/9.40 tff(f108395,plain,(
% 58.08/9.40 spl5880_4798),
% 58.08/9.40 inference(avatar_split_clause,[],[f58804,f108393])).
% 58.08/9.40 tff(f108393,plain,(
% 58.08/9.40 spl5880_4798 <=> ! [X0 : set(nat),X1 : nat] : (inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0) | member(nat,sK4030(X0,X1),X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4798])])).
% 58.08/9.40 tff(f58804,plain,(
% 58.08/9.40 ( ! [X0 : set(nat),X1 : nat] : (inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0) | member(nat,sK4030(X0,X1),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42099])).
% 58.08/9.40 tff(f42099,plain,(
% 58.08/9.40 ! [X0 : set(nat),X1 : nat] : (inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK4030(X0,X1))) & member(nat,sK4030(X0,X1),X0)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4030])],[f34416,f42098])).
% 58.08/9.40 tff(f42098,plain,(
% 58.08/9.40 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK4030(X0,X1))) & member(nat,sK4030(X0,X1),X0)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f34416,plain,(
% 58.08/9.40 ! [X0 : set(nat),X1 : nat] : (inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f15829])).
% 58.08/9.40 tff(f15829,plain,(
% 58.08/9.40 ! [X0 : set(nat),X1 : nat] : (! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) => inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0))),
% 58.08/9.40 inference(fool_elimination,[],[f15828])).
% 58.08/9.40 tff(f15828,plain,(
% 58.08/9.40 ! [X0 : set(nat),X1 : nat] : (! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X1),X0))),
% 58.08/9.40 inference(rectify,[],[f6991])).
% 58.08/9.40 tff(f6991,axiom,(
% 58.08/9.40 ! [X95 : set(nat),X24 : nat] : (! [X34 : nat] : (member(nat,X34,X95) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X24),X34)) => inj_on(nat,nat,aTP_Lamp_ko(nat,fun(nat,nat),X24),X95))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6990_inj__on__diff__nat)).
% 58.08/9.40 tff(f108391,plain,(
% 58.08/9.40 spl5880_4797),
% 58.08/9.40 inference(avatar_split_clause,[],[f58664,f108389])).
% 58.08/9.40 tff(f108389,plain,(
% 58.08/9.40 spl5880_4797 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3931(X1,X2,X0,X3))) | ~sP2077(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4797])])).
% 58.08/9.40 tff(f58664,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3931(X1,X2,X0,X3))) | ~sP2077(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41968])).
% 58.08/9.40 tff(f41968,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : ((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3930(X1,X2,X0,X3))),aa(X2,X1,X0,sK3931(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3930(X1,X2,X0,X3)),sK3931(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3931(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3930(X1,X2,X0,X3)))) | ~sP2077(X1,X2,X0,X3))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3930,sK3931])],[f41966,f41967])).
% 58.08/9.40 tff(f41967,plain,(
% 58.08/9.40 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3930(X1,X2,X0,X3))),aa(X2,X1,X0,sK3931(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3930(X1,X2,X0,X3)),sK3931(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3931(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3930(X1,X2,X0,X3)))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f41966,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) | ~sP2077(X1,X2,X0,X3))),
% 58.08/9.40 inference(rectify,[],[f41965])).
% 58.08/9.40 tff(f41965,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X6 : X1,X7 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X6)),aa(X1,X0,X3,X7))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7)) & ($true = aa(X1,$o,X2,X7)) & ($true = aa(X1,$o,X2,X6))) | ~sP2077(X0,X1,X3,X2))),
% 58.08/9.40 inference(nnf_transformation,[],[f37327])).
% 58.08/9.40 tff(f37327,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X6 : X1,X7 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X6)),aa(X1,X0,X3,X7))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X6),X7)) & ($true = aa(X1,$o,X2,X7)) & ($true = aa(X1,$o,X2,X6))) | ~sP2077(X0,X1,X3,X2))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2077])])).
% 58.08/9.40 tff(f108387,plain,(
% 58.08/9.40 spl5880_4796),
% 58.08/9.40 inference(avatar_split_clause,[],[f58663,f108385])).
% 58.08/9.40 tff(f108385,plain,(
% 58.08/9.40 spl5880_4796 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3930(X1,X2,X0,X3))) | ~sP2077(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4796])])).
% 58.08/9.40 tff(f58663,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3930(X1,X2,X0,X3))) | ~sP2077(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41968])).
% 58.08/9.40 tff(f108383,plain,(
% 58.08/9.40 spl5880_4795),
% 58.08/9.40 inference(avatar_split_clause,[],[f58577,f108381])).
% 58.08/9.40 tff(f108381,plain,(
% 58.08/9.40 spl5880_4795 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3912(X1,X2,X0,X3))) | ~sP2075(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4795])])).
% 58.08/9.40 tff(f58577,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3912(X1,X2,X0,X3))) | ~sP2075(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41928])).
% 58.08/9.40 tff(f41928,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : ((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3911(X1,X2,X0,X3))),aa(X2,X1,X0,sK3912(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3911(X1,X2,X0,X3)),sK3912(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3912(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3911(X1,X2,X0,X3)))) | ~sP2075(X1,X2,X0,X3))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3911,sK3912])],[f41926,f41927])).
% 58.08/9.40 tff(f41927,plain,(
% 58.08/9.40 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3911(X1,X2,X0,X3))),aa(X2,X1,X0,sK3912(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3911(X1,X2,X0,X3)),sK3912(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3912(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3911(X1,X2,X0,X3)))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f41926,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) | ~sP2075(X1,X2,X0,X3))),
% 58.08/9.40 inference(rectify,[],[f41925])).
% 58.08/9.40 tff(f41925,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X7 : X1,X8 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X8)) & ($true = aa(X1,$o,X2,X8)) & ($true = aa(X1,$o,X2,X7))) | ~sP2075(X0,X1,X3,X2))),
% 58.08/9.40 inference(nnf_transformation,[],[f37324])).
% 58.08/9.40 tff(f37324,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X7 : X1,X8 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X8)) & ($true = aa(X1,$o,X2,X8)) & ($true = aa(X1,$o,X2,X7))) | ~sP2075(X0,X1,X3,X2))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2075])])).
% 58.08/9.40 tff(f108379,plain,(
% 58.08/9.40 spl5880_4794),
% 58.08/9.40 inference(avatar_split_clause,[],[f58576,f108377])).
% 58.08/9.40 tff(f108377,plain,(
% 58.08/9.40 spl5880_4794 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3911(X1,X2,X0,X3))) | ~sP2075(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4794])])).
% 58.08/9.40 tff(f58576,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3911(X1,X2,X0,X3))) | ~sP2075(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41928])).
% 58.08/9.40 tff(f108375,plain,(
% 58.08/9.40 spl5880_4793 | ~spl5880_1423 | ~spl5880_2326),
% 58.08/9.40 inference(avatar_split_clause,[],[f92704,f90279,f85677,f108372])).
% 58.08/9.40 tff(f85677,plain,(
% 58.08/9.40 spl5880_1423 <=> sn96 = lG1832(summary,h93)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1423])])).
% 58.08/9.40 tff(f92704,plain,(
% 58.08/9.40 sn96 = lG1811(summary,h93) | (~spl5880_1423 | ~spl5880_2326)),
% 58.08/9.40 inference(superposition,[],[f90280,f85679])).
% 58.08/9.40 tff(f85679,plain,(
% 58.08/9.40 sn96 = lG1832(summary,h93) | ~spl5880_1423),
% 58.08/9.40 inference(avatar_component_clause,[],[f85677])).
% 58.08/9.40 tff(f108370,plain,(
% 58.08/9.40 spl5880_4792),
% 58.08/9.40 inference(avatar_split_clause,[],[f58567,f108368])).
% 58.08/9.40 tff(f108368,plain,(
% 58.08/9.40 spl5880_4792 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3907(X1,X2,X0,X3))) | ~sP2073(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4792])])).
% 58.08/9.40 tff(f58567,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3907(X1,X2,X0,X3))) | ~sP2073(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41916])).
% 58.08/9.40 tff(f41916,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : ((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3906(X1,X2,X0,X3))),aa(X2,X1,X0,sK3907(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3906(X1,X2,X0,X3)),sK3907(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3907(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3906(X1,X2,X0,X3)))) | ~sP2073(X1,X2,X0,X3))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3906,sK3907])],[f41914,f41915])).
% 58.08/9.40 tff(f41915,plain,(
% 58.08/9.40 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,sK3906(X1,X2,X0,X3))),aa(X2,X1,X0,sK3907(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),sK3906(X1,X2,X0,X3)),sK3907(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3907(X1,X2,X0,X3))) & ($true = aa(X2,$o,X3,sK3906(X1,X2,X0,X3)))))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f41914,plain,(
% 58.08/9.40 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,$o)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X5)) & ($true = aa(X2,$o,X3,X5)) & ($true = aa(X2,$o,X3,X4))) | ~sP2073(X1,X2,X0,X3))),
% 58.08/9.40 inference(rectify,[],[f41913])).
% 58.08/9.40 tff(f41913,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X7 : X1,X8 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X8)) & ($true = aa(X1,$o,X2,X8)) & ($true = aa(X1,$o,X2,X7))) | ~sP2073(X0,X1,X3,X2))),
% 58.08/9.40 inference(nnf_transformation,[],[f37321])).
% 58.08/9.40 tff(f37321,plain,(
% 58.08/9.40 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,$o)] : (? [X7 : X1,X8 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X7),X8)) & ($true = aa(X1,$o,X2,X8)) & ($true = aa(X1,$o,X2,X7))) | ~sP2073(X0,X1,X3,X2))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2073])])).
% 58.08/9.40 tff(f108366,plain,(
% 58.08/9.40 spl5880_4791),
% 58.08/9.40 inference(avatar_split_clause,[],[f58566,f108364])).
% 58.08/9.40 tff(f108364,plain,(
% 58.08/9.40 spl5880_4791 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,$o)] : (($true = aa(X2,$o,X3,sK3906(X1,X2,X0,X3))) | ~sP2073(X1,X2,X0,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4791])])).
% 58.08/9.40 tff(f58566,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,$o),X0 : fun(X2,X1)] : (($true = aa(X2,$o,X3,sK3906(X1,X2,X0,X3))) | ~sP2073(X1,X2,X0,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41916])).
% 58.08/9.40 tff(f108362,plain,(
% 58.08/9.40 spl5880_4790),
% 58.08/9.40 inference(avatar_split_clause,[],[f58091,f108360])).
% 58.08/9.40 tff(f108360,plain,(
% 58.08/9.40 spl5880_4790 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK3710(X0,X1)) = X1 | ~finite_finite(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4790])])).
% 58.08/9.40 tff(f58091,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK3710(X0,X1)) = X1 | ~finite_finite(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41591])).
% 58.08/9.40 tff(f41591,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : ((distinct(X0,sK3710(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK3710(X0,X1)) = X1) | ~finite_finite(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3710])],[f33763,f41590])).
% 58.08/9.40 tff(f41590,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) => (distinct(X0,sK3710(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK3710(X0,X1)) = X1))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f33763,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~finite_finite(X0,X1))),
% 58.08/9.40 inference(ennf_transformation,[],[f25961])).
% 58.08/9.40 tff(f25961,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (finite_finite(X0,X1) => ? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1))),
% 58.08/9.40 inference(rectify,[],[f5425])).
% 58.08/9.40 tff(f5425,axiom,(
% 58.08/9.40 ! [X0 : $tType,X27 : set(X0)] : (finite_finite(X0,X27) => ? [X126 : list(X0)] : (distinct(X0,X126) & aa(list(X0),set(X0),set2(X0),X126) = X27))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5424_finite__distinct__list)).
% 58.08/9.40 tff(f108358,plain,(
% 58.08/9.40 spl5880_4789),
% 58.08/9.40 inference(avatar_split_clause,[],[f58089,f108356])).
% 58.08/9.40 tff(f108356,plain,(
% 58.08/9.40 spl5880_4789 <=> ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK3708(X0,X1)) = X1 | ~finite_finite(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4789])])).
% 58.08/9.40 tff(f58089,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK3708(X0,X1)) = X1 | ~finite_finite(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41587])).
% 58.08/9.40 tff(f41587,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (aa(list(X0),set(X0),set2(X0),sK3708(X0,X1)) = X1 | ~finite_finite(X0,X1))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3708])],[f33761,f41586])).
% 58.08/9.40 tff(f41586,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : aa(list(X0),set(X0),set2(X0),X2) = X1 => aa(list(X0),set(X0),set2(X0),sK3708(X0,X1)) = X1)),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f33761,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : aa(list(X0),set(X0),set2(X0),X2) = X1 | ~finite_finite(X0,X1))),
% 58.08/9.40 inference(ennf_transformation,[],[f25959])).
% 58.08/9.40 tff(f25959,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0)] : (finite_finite(X0,X1) => ? [X2 : list(X0)] : aa(list(X0),set(X0),set2(X0),X2) = X1)),
% 58.08/9.40 inference(rectify,[],[f1796])).
% 58.08/9.40 tff(f1796,axiom,(
% 58.08/9.40 ! [X0 : $tType,X27 : set(X0)] : (finite_finite(X0,X27) => ? [X126 : list(X0)] : aa(list(X0),set(X0),set2(X0),X126) = X27)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1795_finite__list)).
% 58.08/9.40 tff(f108354,plain,(
% 58.08/9.40 spl5880_4788),
% 58.08/9.40 inference(avatar_split_clause,[],[f57585,f108352])).
% 58.08/9.40 tff(f108352,plain,(
% 58.08/9.40 spl5880_4788 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X1,$o),X5 : fun(X1,X2),X3 : X2] : (topolo1002775350975398744n_open(X2,sK3474(X1,X2,X0,X3,X4,X5)) | ~sP2006(X1,X2,X0,X3,X4,X5))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4788])])).
% 58.08/9.40 tff(f57585,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : $tType,X3 : X2,X0 : fun(X1,$o),X4 : set(X2),X5 : fun(X1,X2)] : (topolo1002775350975398744n_open(X2,sK3474(X1,X2,X0,X3,X4,X5)) | ~sP2006(X1,X2,X0,X3,X4,X5)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f41222])).
% 58.08/9.40 tff(f108350,plain,(
% 58.08/9.40 spl5880_4787),
% 58.08/9.40 inference(avatar_split_clause,[],[f57198,f108348])).
% 58.08/9.40 tff(f108348,plain,(
% 58.08/9.40 spl5880_4787 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,fChoice(X0,X1))) | ($true != aa(X0,$o,X1,X2)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4787])])).
% 58.08/9.40 tff(f57198,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,fChoice(X0,X1))) | ($true != aa(X0,$o,X1,X2))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f40994])).
% 58.08/9.40 tff(f108346,plain,(
% 58.08/9.40 spl5880_4786),
% 58.08/9.40 inference(avatar_split_clause,[],[f56741,f108344])).
% 58.08/9.40 tff(f108344,plain,(
% 58.08/9.40 spl5880_4786 <=> ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit0,X0),aa(num,num,bit0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4786])])).
% 58.08/9.40 tff(f56741,plain,(
% 58.08/9.40 ( ! [X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit0,X0),aa(num,num,bit0,X1))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25294])).
% 58.08/9.40 tff(f25294,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit0,X0),aa(num,num,bit0,X1))),
% 58.08/9.40 inference(rectify,[],[f4817])).
% 58.08/9.40 tff(f4817,axiom,(
% 58.08/9.40 ! [X8 : num,X15 : num] : bit_or_not_num_neg(aa(num,num,bit0,X8),aa(num,num,bit0,X15)) = bitM(bit_or_not_num_neg(X8,X15))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4816_or__not__num__neg_Osimps_I5_J)).
% 58.08/9.40 tff(f108342,plain,(
% 58.08/9.40 spl5880_4785),
% 58.08/9.40 inference(avatar_split_clause,[],[f56740,f108340])).
% 58.08/9.40 tff(f108340,plain,(
% 58.08/9.40 spl5880_4785 <=> ! [X0 : nat,X1 : int] : aa(int,int,bit_se4730199178511100633sh_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,zero_zero(int)),X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4785])])).
% 58.08/9.40 tff(f56740,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : int] : (aa(int,int,bit_se4730199178511100633sh_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,zero_zero(int)),X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25293])).
% 58.08/9.40 tff(f25293,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : int] : aa(int,int,bit_se4730199178511100633sh_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,zero_zero(int)),X1)),
% 58.08/9.40 inference(rectify,[],[f4977])).
% 58.08/9.40 tff(f4977,axiom,(
% 58.08/9.40 ! [X8 : nat,X14 : int] : aa(int,int,bit_concat_bit(X8,zero_zero(int)),X14) = aa(int,int,bit_se4730199178511100633sh_bit(int,X8),X14)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4976_concat__bit__of__zero__1)).
% 58.08/9.40 tff(f108331,plain,(
% 58.08/9.40 spl5880_4784 | ~spl5880_138 | ~spl5880_4142 | ~spl5880_4782),
% 58.08/9.40 inference(avatar_split_clause,[],[f108322,f108319,f103032,f79133,f108329])).
% 58.08/9.40 tff(f108329,plain,(
% 58.08/9.40 spl5880_4784 <=> ! [X0 : nat,X1 : int] : aa(int,int,bit_concat_bit(X0,X1),zero_zero(int)) = iG459(int,X0,X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4784])])).
% 58.08/9.40 tff(f79133,plain,(
% 58.08/9.40 spl5880_138 <=> bit_se359711467146920520ations(int)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_138])])).
% 58.08/9.40 tff(f103032,plain,(
% 58.08/9.40 spl5880_4142 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = iG459(X0,X1,X2) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4142])])).
% 58.08/9.40 tff(f108319,plain,(
% 58.08/9.40 spl5880_4782 <=> ! [X0 : nat,X1 : int] : aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,X1),zero_zero(int))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4782])])).
% 58.08/9.40 tff(f108322,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : int] : (aa(int,int,bit_concat_bit(X0,X1),zero_zero(int)) = iG459(int,X0,X1)) ) | (~spl5880_138 | ~spl5880_4142 | ~spl5880_4782)),
% 58.08/9.40 inference(forward_demodulation,[],[f108320,f104440])).
% 58.08/9.40 tff(f104440,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : int] : (aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = iG459(int,X0,X1)) ) | (~spl5880_138 | ~spl5880_4142)),
% 58.08/9.40 inference(resolution,[],[f103033,f79135])).
% 58.08/9.40 tff(f79135,plain,(
% 58.08/9.40 bit_se359711467146920520ations(int) | ~spl5880_138),
% 58.08/9.40 inference(avatar_component_clause,[],[f79133])).
% 58.08/9.40 tff(f103033,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (~bit_se359711467146920520ations(X0) | aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = iG459(X0,X1,X2)) ) | ~spl5880_4142),
% 58.08/9.40 inference(avatar_component_clause,[],[f103032])).
% 58.08/9.40 tff(f108320,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : int] : (aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,X1),zero_zero(int))) ) | ~spl5880_4782),
% 58.08/9.40 inference(avatar_component_clause,[],[f108319])).
% 58.08/9.40 tff(f108327,plain,(
% 58.08/9.40 spl5880_4783 | ~spl5880_1417 | ~spl5880_2326),
% 58.08/9.40 inference(avatar_split_clause,[],[f92703,f90279,f85646,f108324])).
% 58.08/9.40 tff(f85646,plain,(
% 58.08/9.40 spl5880_1417 <=> sn89 = lG1832(summary,h86)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1417])])).
% 58.08/9.40 tff(f92703,plain,(
% 58.08/9.40 sn89 = lG1811(summary,h86) | (~spl5880_1417 | ~spl5880_2326)),
% 58.08/9.40 inference(superposition,[],[f90280,f85648])).
% 58.08/9.40 tff(f85648,plain,(
% 58.08/9.40 sn89 = lG1832(summary,h86) | ~spl5880_1417),
% 58.08/9.40 inference(avatar_component_clause,[],[f85646])).
% 58.08/9.40 tff(f108321,plain,(
% 58.08/9.40 spl5880_4782),
% 58.08/9.40 inference(avatar_split_clause,[],[f56739,f108319])).
% 58.08/9.40 tff(f56739,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : int] : (aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,X1),zero_zero(int))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25292])).
% 58.08/9.40 tff(f25292,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : int] : aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1) = aa(int,int,bit_concat_bit(X0,X1),zero_zero(int))),
% 58.08/9.40 inference(rectify,[],[f2924])).
% 58.08/9.40 tff(f2924,axiom,(
% 58.08/9.40 ! [X8 : nat,X24 : int] : aa(int,int,bit_concat_bit(X8,X24),zero_zero(int)) = aa(int,int,bit_se2584673776208193580ke_bit(int,X8),X24)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2923_concat__bit__of__zero__2)).
% 58.08/9.40 tff(f108317,plain,(
% 58.08/9.40 spl5880_4781),
% 58.08/9.40 inference(avatar_split_clause,[],[f56732,f108315])).
% 58.08/9.40 tff(f108315,plain,(
% 58.08/9.40 spl5880_4781 <=> ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4781])])).
% 58.08/9.40 tff(f56732,plain,(
% 58.08/9.40 ( ! [X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit0,X1))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25285])).
% 58.08/9.40 tff(f25285,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit0,X1))),
% 58.08/9.40 inference(rectify,[],[f4821])).
% 58.08/9.40 tff(f4821,axiom,(
% 58.08/9.40 ! [X8 : num,X15 : num] : bitM(bit_or_not_num_neg(X8,X15)) = bit_or_not_num_neg(aa(num,num,bit1,X8),aa(num,num,bit0,X15))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4820_or__not__num__neg_Osimps_I8_J)).
% 58.08/9.40 tff(f108313,plain,(
% 58.08/9.40 spl5880_4780),
% 58.08/9.40 inference(avatar_split_clause,[],[f56731,f108311])).
% 58.08/9.40 tff(f108311,plain,(
% 58.08/9.40 spl5880_4780 <=> ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit1,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4780])])).
% 58.08/9.40 tff(f56731,plain,(
% 58.08/9.40 ( ! [X0 : num,X1 : num] : (bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit1,X1))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25284])).
% 58.08/9.40 tff(f25284,plain,(
% 58.08/9.40 ! [X0 : num,X1 : num] : bitM(bit_or_not_num_neg(X0,X1)) = bit_or_not_num_neg(aa(num,num,bit1,X0),aa(num,num,bit1,X1))),
% 58.08/9.40 inference(rectify,[],[f4818])).
% 58.08/9.40 tff(f4818,axiom,(
% 58.08/9.40 ! [X8 : num,X15 : num] : bitM(bit_or_not_num_neg(X8,X15)) = bit_or_not_num_neg(aa(num,num,bit1,X8),aa(num,num,bit1,X15))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4817_or__not__num__neg_Osimps_I9_J)).
% 58.08/9.40 tff(f108308,plain,(
% 58.08/9.40 spl5880_4779),
% 58.08/9.40 inference(avatar_split_clause,[],[f56643,f108306])).
% 58.08/9.40 tff(f56643,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),semiring_char_0_fact(nat,X0)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14471])).
% 58.08/9.40 tff(f14471,plain,(
% 58.08/9.40 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),semiring_char_0_fact(nat,X0)))),
% 58.08/9.40 inference(fool_elimination,[],[f14470])).
% 58.08/9.40 tff(f14470,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),semiring_char_0_fact(nat,X0))),
% 58.08/9.40 inference(rectify,[],[f3739])).
% 58.08/9.40 tff(f3739,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),semiring_char_0_fact(nat,X8))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3738_fact__ge__self)).
% 58.08/9.40 tff(f108304,plain,(
% 58.08/9.40 spl5880_4778),
% 58.08/9.40 inference(avatar_split_clause,[],[f56642,f108302])).
% 58.08/9.40 tff(f108302,plain,(
% 58.08/9.40 spl5880_4778 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),bit_se2239418461657761734s_mask(nat,X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4778])])).
% 58.08/9.40 tff(f56642,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),bit_se2239418461657761734s_mask(nat,X0)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14469])).
% 58.08/9.40 tff(f14469,plain,(
% 58.08/9.40 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),bit_se2239418461657761734s_mask(nat,X0)))),
% 58.08/9.40 inference(fool_elimination,[],[f14468])).
% 58.08/9.40 tff(f14468,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),bit_se2239418461657761734s_mask(nat,X0))),
% 58.08/9.40 inference(rectify,[],[f2966])).
% 58.08/9.40 tff(f2966,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),bit_se2239418461657761734s_mask(nat,X8))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2965_less__eq__mask)).
% 58.08/9.40 tff(f108300,plain,(
% 58.08/9.40 spl5880_4777),
% 58.08/9.40 inference(avatar_split_clause,[],[f56127,f108298])).
% 58.08/9.40 tff(f108298,plain,(
% 58.08/9.40 spl5880_4777 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4777])])).
% 58.08/9.40 tff(f56127,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32880])).
% 58.08/9.40 tff(f32880,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0))),
% 58.08/9.40 inference(flattening,[],[f32879])).
% 58.08/9.40 tff(f32879,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X1),at_top(X0)) | (~no_top(X0) | ~linorder(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f25181])).
% 58.08/9.40 tff(f25181,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X1),at_top(X0)))),
% 58.08/9.40 inference(rectify,[],[f6457])).
% 58.08/9.40 tff(f6457,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X17 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less(X0),X17),at_top(X0)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6456_eventually__gt__at__top)).
% 58.08/9.40 tff(f108296,plain,(
% 58.08/9.40 spl5880_4776),
% 58.08/9.40 inference(avatar_split_clause,[],[f55874,f108294])).
% 58.08/9.40 tff(f108294,plain,(
% 58.08/9.40 spl5880_4776 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = sin(X0,X1) | one_one(X0) != cos(X0,X1) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4776])])).
% 58.08/9.40 tff(f55874,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = sin(X0,X1) | one_one(X0) != cos(X0,X1) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32474])).
% 58.08/9.40 tff(f32474,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = sin(X0,X1) | one_one(X0) != cos(X0,X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 inference(flattening,[],[f32473])).
% 58.08/9.40 tff(f32473,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = sin(X0,X1) | one_one(X0) != cos(X0,X1)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f25050])).
% 58.08/9.40 tff(f25050,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : (one_one(X0) = cos(X0,X1) => zero_zero(X0) = sin(X0,X1)))),
% 58.08/9.40 inference(rectify,[],[f3532])).
% 58.08/9.40 tff(f3532,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : (one_one(X0) = cos(X0,X9) => zero_zero(X0) = sin(X0,X9)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3531_cos__one__sin__zero)).
% 58.08/9.40 tff(f108292,plain,(
% 58.08/9.40 spl5880_4775),
% 58.08/9.40 inference(avatar_split_clause,[],[f55807,f108290])).
% 58.08/9.40 tff(f108290,plain,(
% 58.08/9.40 spl5880_4775 <=> ! [X0 : $tType,X1 : X0] : (cos(X0,X1) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4775])])).
% 58.08/9.40 tff(f55807,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (cos(X0,X1) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32340])).
% 58.08/9.40 tff(f32340,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : cos(X0,X1) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 inference(flattening,[],[f32339])).
% 58.08/9.40 tff(f32339,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : cos(X0,X1) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f24990])).
% 58.08/9.40 tff(f24990,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : cos(X0,X1) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1)))),
% 58.08/9.40 inference(rectify,[],[f4087])).
% 58.08/9.40 tff(f4087,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X50 : X0] : cos(X0,X50) = suminf(X0,aTP_Lamp_hb(X0,fun(nat,X0),X50)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4086_cos__def)).
% 58.08/9.40 tff(f108288,plain,(
% 58.08/9.40 spl5880_4774),
% 58.08/9.40 inference(avatar_split_clause,[],[f55806,f108286])).
% 58.08/9.40 tff(f108286,plain,(
% 58.08/9.40 spl5880_4774 <=> ! [X0 : $tType,X1 : X0] : (sin(X0,X1) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4774])])).
% 58.08/9.40 tff(f55806,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (sin(X0,X1) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32338])).
% 58.08/9.40 tff(f32338,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : sin(X0,X1) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 inference(flattening,[],[f32337])).
% 58.08/9.40 tff(f32337,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : sin(X0,X1) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f24989])).
% 58.08/9.40 tff(f24989,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sin(X0,X1) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1)))),
% 58.08/9.40 inference(rectify,[],[f4085])).
% 58.08/9.40 tff(f4085,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X50 : X0] : sin(X0,X50) = suminf(X0,aTP_Lamp_ha(X0,fun(nat,X0),X50)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4084_sin__def)).
% 58.08/9.40 tff(f108284,plain,(
% 58.08/9.40 spl5880_4773),
% 58.08/9.40 inference(avatar_split_clause,[],[f55805,f108282])).
% 58.08/9.40 tff(f108282,plain,(
% 58.08/9.40 spl5880_4773 <=> ! [X0 : $tType,X1 : X0] : (exp(X0,X1) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4773])])).
% 58.08/9.40 tff(f55805,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (exp(X0,X1) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32336])).
% 58.08/9.40 tff(f32336,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.40 inference(flattening,[],[f32335])).
% 58.08/9.40 tff(f32335,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f24988])).
% 58.08/9.40 tff(f24988,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)))),
% 58.08/9.40 inference(rectify,[],[f4434])).
% 58.08/9.40 tff(f4434,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X50 : X0] : exp(X0,X50) = suminf(X0,aTP_Lamp_iu(X0,fun(nat,X0),X50)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4433_exp__def)).
% 58.08/9.40 tff(f108280,plain,(
% 58.08/9.40 spl5880_4772),
% 58.08/9.40 inference(avatar_split_clause,[],[f55554,f108278])).
% 58.08/9.40 tff(f108278,plain,(
% 58.08/9.40 spl5880_4772 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,sK2978(X0,X1,X2),X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~order(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4772])])).
% 58.08/9.40 tff(f55554,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,sK2978(X0,X1,X2),X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~order(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f40357])).
% 58.08/9.40 tff(f40357,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((! [X4 : X0] : (sK2978(X0,X1,X2) = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),sK2978(X0,X1,X2))) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2978(X0,X1,X2)),X2)) & member(X0,sK2978(X0,X1,X2),X1)) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2978])],[f32087,f40356])).
% 58.08/9.40 tff(f40356,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & member(X0,X3,X1)) => (! [X4 : X0] : (sK2978(X0,X1,X2) = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),sK2978(X0,X1,X2))) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2978(X0,X1,X2)),X2)) & member(X0,sK2978(X0,X1,X2),X1)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f32087,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & member(X0,X3,X1)) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(flattening,[],[f32086])).
% 58.08/9.40 tff(f32086,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((? [X3 : X0] : (! [X4 : X0] : ((X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3))) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & member(X0,X3,X1)) | ~member(X0,X2,X1)) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f13452])).
% 58.08/9.40 tff(f13452,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) => X3 = X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & member(X0,X3,X1)))))),
% 58.08/9.40 inference(fool_elimination,[],[f13451])).
% 58.08/9.40 tff(f13451,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3) => X3 = X4)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2) & member(X0,X3,X1)))))),
% 58.08/9.40 inference(rectify,[],[f1824])).
% 58.08/9.40 tff(f1824,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X27 : set(X0),X11 : X0] : (finite_finite(X0,X27) => (member(X0,X11,X27) => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X98),X29) => X29 = X98)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X29),X11) & member(X0,X29,X27)))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1823_finite__has__minimal2)).
% 58.08/9.40 tff(f108276,plain,(
% 58.08/9.40 spl5880_4771),
% 58.08/9.40 inference(avatar_split_clause,[],[f55551,f108274])).
% 58.08/9.40 tff(f108274,plain,(
% 58.08/9.40 spl5880_4771 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,sK2977(X0,X1,X2),X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~order(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4771])])).
% 58.08/9.40 tff(f55551,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (member(X0,sK2977(X0,X1,X2),X1) | ~member(X0,X2,X1) | ~finite_finite(X0,X1) | ~order(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f40355])).
% 58.08/9.40 tff(f40355,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((! [X4 : X0] : (sK2977(X0,X1,X2) = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2977(X0,X1,X2)),X4)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),sK2977(X0,X1,X2))) & member(X0,sK2977(X0,X1,X2),X1)) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2977])],[f32085,f40354])).
% 58.08/9.40 tff(f40354,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X0),X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) & member(X0,X3,X1)) => (! [X4 : X0] : (sK2977(X0,X1,X2) = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2977(X0,X1,X2)),X4)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),sK2977(X0,X1,X2))) & member(X0,sK2977(X0,X1,X2),X1)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f32085,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : (? [X3 : X0] : (! [X4 : X0] : (X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) & member(X0,X3,X1)) | ~member(X0,X2,X1) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(flattening,[],[f32084])).
% 58.08/9.40 tff(f32084,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : ((? [X3 : X0] : (! [X4 : X0] : ((X3 = X4 | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4))) | ~member(X0,X4,X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) & member(X0,X3,X1)) | ~member(X0,X2,X1)) | ~finite_finite(X0,X1)) | ~order(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f13450])).
% 58.08/9.40 tff(f13450,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) => X3 = X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) & member(X0,X3,X1)))))),
% 58.08/9.40 inference(fool_elimination,[],[f13449])).
% 58.08/9.40 tff(f13449,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : set(X0),X2 : X0] : (finite_finite(X0,X1) => (member(X0,X2,X1) => ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4) => X3 = X4)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3) & member(X0,X3,X1)))))),
% 58.08/9.40 inference(rectify,[],[f1825])).
% 58.08/9.40 tff(f1825,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X27 : set(X0),X11 : X0] : (finite_finite(X0,X27) => (member(X0,X11,X27) => ? [X29 : X0] : (! [X98 : X0] : (member(X0,X98,X27) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X29),X98) => X29 = X98)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X29) & member(X0,X29,X27)))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1824_finite__has__maximal2)).
% 58.08/9.40 tff(f108272,plain,(
% 58.08/9.40 spl5880_4770),
% 58.08/9.40 inference(avatar_split_clause,[],[f55546,f108270])).
% 58.08/9.40 tff(f108270,plain,(
% 58.08/9.40 spl5880_4770 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~order(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4770])])).
% 58.08/9.40 tff(f55546,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~order(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32078])).
% 58.08/9.40 tff(f32078,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~order(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f13443])).
% 58.08/9.40 tff(f13443,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)))),
% 58.08/9.40 inference(fool_elimination,[],[f13442])).
% 58.08/9.40 tff(f13442,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1))),
% 58.08/9.40 inference(rectify,[],[f1603])).
% 58.08/9.40 tff(f1603,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X11 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X11))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1602_verit__comp__simplify1_I2_J)).
% 58.08/9.40 tff(f108268,plain,(
% 58.08/9.40 spl5880_4769),
% 58.08/9.40 inference(avatar_split_clause,[],[f55545,f108266])).
% 58.08/9.40 tff(f108266,plain,(
% 58.08/9.40 spl5880_4769 <=> ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~order(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4769])])).
% 58.08/9.40 tff(f55545,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~order(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32077])).
% 58.08/9.40 tff(f32077,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~order(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24920])).
% 58.08/9.40 tff(f24920,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)))),
% 58.08/9.40 inference(flattening,[],[f13441])).
% 58.08/9.40 tff(f13441,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)))),
% 58.08/9.40 inference(fool_elimination,[],[f13440])).
% 58.08/9.40 tff(f13440,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1))),
% 58.08/9.40 inference(rectify,[],[f1604])).
% 58.08/9.40 tff(f1604,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X11 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X11))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1603_verit__comp__simplify1_I1_J)).
% 58.08/9.40 tff(f108264,plain,(
% 58.08/9.40 spl5880_4768),
% 58.08/9.40 inference(avatar_split_clause,[],[f55503,f108262])).
% 58.08/9.40 tff(f108262,plain,(
% 58.08/9.40 spl5880_4768 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (order_Greatest(X0,X1) = the(X0,aTP_Lamp_xy(fun(X0,$o),fun(X0,$o),X1)) | ~order(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4768])])).
% 58.08/9.40 tff(f55503,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (order_Greatest(X0,X1) = the(X0,aTP_Lamp_xy(fun(X0,$o),fun(X0,$o),X1)) | ~order(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32055])).
% 58.08/9.40 tff(f32055,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : fun(X0,$o)] : order_Greatest(X0,X1) = the(X0,aTP_Lamp_xy(fun(X0,$o),fun(X0,$o),X1)) | ~order(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24919])).
% 58.08/9.40 tff(f24919,plain,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X1 : fun(X0,$o)] : order_Greatest(X0,X1) = the(X0,aTP_Lamp_xy(fun(X0,$o),fun(X0,$o),X1)))),
% 58.08/9.40 inference(rectify,[],[f6559])).
% 58.08/9.40 tff(f6559,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (order(X0) => ! [X26 : fun(X0,$o)] : order_Greatest(X0,X26) = the(X0,aTP_Lamp_xy(fun(X0,$o),fun(X0,$o),X26)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6558_Greatest__def)).
% 58.08/9.40 tff(f108260,plain,(
% 58.08/9.40 spl5880_4767),
% 58.08/9.40 inference(avatar_split_clause,[],[f55373,f108258])).
% 58.08/9.40 tff(f108258,plain,(
% 58.08/9.40 spl5880_4767 <=> ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~preorder(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4767])])).
% 58.08/9.40 tff(f55373,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~preorder(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f31970])).
% 58.08/9.40 tff(f31970,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)) | ~preorder(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f13281])).
% 58.08/9.40 tff(f13281,plain,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1)))),
% 58.08/9.40 inference(fool_elimination,[],[f13280])).
% 58.08/9.40 tff(f13280,plain,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X1))),
% 58.08/9.40 inference(rectify,[],[f1889])).
% 58.08/9.40 tff(f1889,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X11 : X0] : aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X11))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1888_dual__order_Orefl)).
% 58.08/9.40 tff(f108256,plain,(
% 58.08/9.40 spl5880_4766),
% 58.08/9.40 inference(avatar_split_clause,[],[f55371,f108254])).
% 58.08/9.40 tff(f108254,plain,(
% 58.08/9.40 spl5880_4766 <=> ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~preorder(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4766])])).
% 58.08/9.40 tff(f55371,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~preorder(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f31968])).
% 58.08/9.40 tff(f31968,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)) | ~preorder(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24892])).
% 58.08/9.40 tff(f24892,plain,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)))),
% 58.08/9.40 inference(flattening,[],[f13277])).
% 58.08/9.40 tff(f13277,plain,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1)))),
% 58.08/9.40 inference(fool_elimination,[],[f13276])).
% 58.08/9.40 tff(f13276,plain,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X1))),
% 58.08/9.40 inference(rectify,[],[f2098])).
% 58.08/9.40 tff(f2098,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (preorder(X0) => ! [X11 : X0] : ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X11))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2097_dual__order_Oirrefl)).
% 58.08/9.40 tff(f108252,plain,(
% 58.08/9.40 spl5880_4765),
% 58.08/9.40 inference(avatar_split_clause,[],[f54884,f108250])).
% 58.08/9.40 tff(f108250,plain,(
% 58.08/9.40 spl5880_4765 <=> ! [X0 : $tType,X1 : X0] : (sorted_wrt(X0,ord_less_eq(X0),aa(list(X0),list(X0),cons(X0,X1),nil(X0))) | ~linorder(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4765])])).
% 58.08/9.40 tff(f54884,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (sorted_wrt(X0,ord_less_eq(X0),aa(list(X0),list(X0),cons(X0,X1),nil(X0))) | ~linorder(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f31605])).
% 58.08/9.40 tff(f31605,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : sorted_wrt(X0,ord_less_eq(X0),aa(list(X0),list(X0),cons(X0,X1),nil(X0))) | ~linorder(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24828])).
% 58.08/9.40 tff(f24828,plain,(
% 58.08/9.40 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : sorted_wrt(X0,ord_less_eq(X0),aa(list(X0),list(X0),cons(X0,X1),nil(X0))))),
% 58.08/9.40 inference(rectify,[],[f8041])).
% 58.08/9.40 tff(f8041,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (linorder(X0) => ! [X9 : X0] : sorted_wrt(X0,ord_less_eq(X0),aa(list(X0),list(X0),cons(X0,X9),nil(X0))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8040_sorted1)).
% 58.08/9.40 tff(f108248,plain,(
% 58.08/9.40 spl5880_4764),
% 58.08/9.40 inference(avatar_split_clause,[],[f54879,f108246])).
% 58.08/9.40 tff(f108246,plain,(
% 58.08/9.40 spl5880_4764 <=> ! [X0 : $tType] : (ord_max(X0) = min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4764])])).
% 58.08/9.40 tff(f54879,plain,(
% 58.08/9.40 ( ! [X0 : $tType] : (ord_max(X0) = min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f31600])).
% 58.08/9.40 tff(f31600,plain,(
% 58.08/9.40 ! [X0 : $tType] : (ord_max(X0) = min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f7745])).
% 58.08/9.40 tff(f7745,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (linorder(X0) => ord_max(X0) = min(X0,aTP_Lamp_kz(X0,fun(X0,$o))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7744_dual__min)).
% 58.08/9.40 tff(f108244,plain,(
% 58.08/9.40 spl5880_4763),
% 58.08/9.40 inference(avatar_split_clause,[],[f53670,f108242])).
% 58.08/9.40 tff(f108242,plain,(
% 58.08/9.40 spl5880_4763 <=> ! [X0 : $tType,X1 : num] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4763])])).
% 58.08/9.40 tff(f53670,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : num] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f30523])).
% 58.08/9.40 tff(f30523,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : num] : aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24216])).
% 58.08/9.40 tff(f24216,plain,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1))),
% 58.08/9.40 inference(rectify,[],[f2469])).
% 58.08/9.40 tff(f2469,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : aa(num,X0,numeral_numeral(X0),X8) != aa(X0,X0,uminus_uminus(X0),one_one(X0)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2468_numeral__neq__neg__one)).
% 58.08/9.40 tff(f108240,plain,(
% 58.08/9.40 ~spl5880_618 | spl5880_4762 | ~spl5880_1562 | ~spl5880_2259),
% 58.08/9.40 inference(avatar_split_clause,[],[f92677,f90003,f86437,f108238,f81533])).
% 58.08/9.40 tff(f81533,plain,(
% 58.08/9.40 spl5880_618 <=> comm_monoid_mult(int)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_618])])).
% 58.08/9.40 tff(f108238,plain,(
% 58.08/9.40 spl5880_4762 <=> ! [X0 : int] : sP2121(X0,X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4762])])).
% 58.08/9.40 tff(f86437,plain,(
% 58.08/9.40 spl5880_1562 <=> ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,X1) | ~comm_monoid_mult(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1562])])).
% 58.08/9.40 tff(f90003,plain,(
% 58.08/9.40 spl5880_2259 <=> ! [X0 : int,X1 : int] : (sP2121(X0,X1) | ~dvd_dvd(int,X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_2259])])).
% 58.08/9.40 tff(f92677,plain,(
% 58.08/9.40 ( ! [X0 : int] : (sP2121(X0,X0) | ~comm_monoid_mult(int)) ) | (~spl5880_1562 | ~spl5880_2259)),
% 58.08/9.40 inference(resolution,[],[f90004,f86438])).
% 58.08/9.40 tff(f86438,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,X1) | ~comm_monoid_mult(X0)) ) | ~spl5880_1562),
% 58.08/9.40 inference(avatar_component_clause,[],[f86437])).
% 58.08/9.40 tff(f90004,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X0,X1) | sP2121(X0,X1)) ) | ~spl5880_2259),
% 58.08/9.40 inference(avatar_component_clause,[],[f90003])).
% 58.08/9.40 tff(f108236,plain,(
% 58.08/9.40 spl5880_4761),
% 58.08/9.40 inference(avatar_split_clause,[],[f53669,f108234])).
% 58.08/9.40 tff(f108234,plain,(
% 58.08/9.40 spl5880_4761 <=> ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4761])])).
% 58.08/9.40 tff(f53669,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f30522])).
% 58.08/9.40 tff(f30522,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24215])).
% 58.08/9.40 tff(f24215,plain,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.40 inference(rectify,[],[f2455])).
% 58.08/9.40 tff(f2455,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X8)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2454_zero__neq__neg__numeral)).
% 58.08/9.40 tff(f108232,plain,(
% 58.08/9.40 spl5880_4760),
% 58.08/9.40 inference(avatar_split_clause,[],[f53668,f108230])).
% 58.08/9.40 tff(f108230,plain,(
% 58.08/9.40 spl5880_4760 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4760])])).
% 58.08/9.40 tff(f53668,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : num] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f30521])).
% 58.08/9.40 tff(f30521,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24214])).
% 58.08/9.40 tff(f24214,plain,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))),
% 58.08/9.40 inference(rectify,[],[f2470])).
% 58.08/9.40 tff(f2470,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X8)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2469_one__neq__neg__numeral)).
% 58.08/9.40 tff(f108228,plain,(
% 58.08/9.40 spl5880_4759),
% 58.08/9.40 inference(avatar_split_clause,[],[f53254,f108226])).
% 58.08/9.40 tff(f108226,plain,(
% 58.08/9.40 spl5880_4759 <=> ! [X0 : $tType,X1 : X0] : (member(X0,X1,ring_1_Ints(X0)) | ($true != aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) | ~linordered_idom(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4759])])).
% 58.08/9.40 tff(f53254,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (member(X0,X1,ring_1_Ints(X0)) | ($true != aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) | ~linordered_idom(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f39527])).
% 58.08/9.40 tff(f39527,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ((($true = aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) | ~member(X0,X1,ring_1_Ints(X0))) & ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) & member(X0,X1,ring_1_Ints(X0))) | ($true != aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)))) | ~linordered_idom(X0))),
% 58.08/9.40 inference(flattening,[],[f39526])).
% 58.08/9.40 tff(f39526,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : ((($true = aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) | ~member(X0,X1,ring_1_Ints(X0)))) & ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) & member(X0,X1,ring_1_Ints(X0))) | ($true != aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)))) | ~linordered_idom(X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f30231])).
% 58.08/9.40 tff(f30231,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) & member(X0,X1,ring_1_Ints(X0)))) | ~linordered_idom(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f11742])).
% 58.08/9.40 tff(f11742,plain,(
% 58.08/9.40 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_aem(X0,$o),X1)) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) & member(X0,X1,ring_1_Ints(X0)))))),
% 58.08/9.40 inference(fool_elimination,[],[f11741])).
% 58.08/9.40 tff(f11741,plain,(
% 58.08/9.40 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : (aa(X0,$o,aTP_Lamp_aem(X0,$o),X1) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1) & member(X0,X1,ring_1_Ints(X0)))))),
% 58.08/9.40 inference(rectify,[],[f8187])).
% 58.08/9.40 tff(f8187,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (linordered_idom(X0) => ! [X105 : X0] : (aa(X0,$o,aTP_Lamp_aem(X0,$o),X105) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X105) & member(X0,X105,ring_1_Ints(X0)))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8186_ATP_Olambda__6)).
% 58.08/9.40 tff(f108224,plain,(
% 58.08/9.40 spl5880_4758),
% 58.08/9.40 inference(avatar_split_clause,[],[f52746,f108222])).
% 58.08/9.40 tff(f108222,plain,(
% 58.08/9.40 spl5880_4758 <=> ! [X0 : $tType,X1 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4758])])).
% 58.08/9.40 tff(f52746,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29895])).
% 58.08/9.40 tff(f29895,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24025])).
% 58.08/9.40 tff(f24025,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))))),
% 58.08/9.40 inference(flattening,[],[f11351])).
% 58.08/9.40 tff(f11351,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : ~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))))),
% 58.08/9.40 inference(fool_elimination,[],[f11350])).
% 58.08/9.40 tff(f11350,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1)))),
% 58.08/9.40 inference(rectify,[],[f4523])).
% 58.08/9.40 tff(f4523,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X8)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4522_not__bit__1__Suc)).
% 58.08/9.40 tff(f108220,plain,(
% 58.08/9.40 spl5880_4757),
% 58.08/9.40 inference(avatar_split_clause,[],[f52717,f108218])).
% 58.08/9.40 tff(f108218,plain,(
% 58.08/9.40 spl5880_4757 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4757])])).
% 58.08/9.40 tff(f52717,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29868])).
% 58.08/9.40 tff(f29868,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24004])).
% 58.08/9.40 tff(f24004,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),X1) = X1)),
% 58.08/9.40 inference(rectify,[],[f2581])).
% 58.08/9.40 tff(f2581,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X11),X11) = X11)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2580_and_Oidem)).
% 58.08/9.40 tff(f108216,plain,(
% 58.08/9.40 spl5880_4756),
% 58.08/9.40 inference(avatar_split_clause,[],[f52716,f108214])).
% 58.08/9.40 tff(f108214,plain,(
% 58.08/9.40 spl5880_4756 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4756])])).
% 58.08/9.40 tff(f52716,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29867])).
% 58.08/9.40 tff(f29867,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f24003])).
% 58.08/9.40 tff(f24003,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),X1) = X1)),
% 58.08/9.40 inference(rectify,[],[f4743])).
% 58.08/9.40 tff(f4743,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X11),X11) = X11)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4742_or_Oidem)).
% 58.08/9.40 tff(f108212,plain,(
% 58.08/9.40 spl5880_4755),
% 58.08/9.40 inference(avatar_split_clause,[],[f52635,f108210])).
% 58.08/9.40 tff(f108210,plain,(
% 58.08/9.40 spl5880_4755 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4755])])).
% 58.08/9.40 tff(f52635,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f39317])).
% 58.08/9.40 tff(f39317,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((one_one(X0) = divide_divide(X0,X2,X1) | X1 != X2) & (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1))) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f29803])).
% 58.08/9.40 tff(f29803,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X2,X1) <=> X1 = X2) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23966])).
% 58.08/9.40 tff(f23966,plain,(
% 58.08/9.40 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => (one_one(X0) = divide_divide(X0,X2,X1) <=> X1 = X2)))),
% 58.08/9.40 inference(rectify,[],[f1232])).
% 58.08/9.40 tff(f1232,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (division_ring(X0) => ! [X12 : X0,X11 : X0] : (zero_zero(X0) != X12 => (divide_divide(X0,X11,X12) = one_one(X0) <=> X11 = X12)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1231_right__inverse__eq)).
% 58.08/9.40 tff(f108208,plain,(
% 58.08/9.40 spl5880_4754),
% 58.08/9.40 inference(avatar_split_clause,[],[f52627,f108206])).
% 58.08/9.40 tff(f108206,plain,(
% 58.08/9.40 spl5880_4754 <=> ! [X0 : $tType,X2 : int,X1 : X0] : (power_int(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) = iG429(X0,X2,X1) | ~division_ring(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4754])])).
% 58.08/9.40 tff(f52627,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : int,X1 : X0] : (power_int(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) = iG429(X0,X2,X1) | ~division_ring(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29791])).
% 58.08/9.40 tff(f29791,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : int] : power_int(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) = iG429(X0,X2,X1) | ~division_ring(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f11270])).
% 58.08/9.40 tff(f11270,plain,(
% 58.08/9.40 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : int] : power_int(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) = iG429(X0,X2,X1))),
% 58.08/9.40 inference(fool_elimination,[],[f11268,f11269])).
% 58.08/9.40 tff(f11269,plain,(
% 58.08/9.40 ! [X0 : $tType,X2 : int,X1 : X0] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X2) => aa(X0,X0,uminus_uminus(X0),power_int(X0,X1,X2)) = iG429(X0,X2,X1)) & ! [X0 : $tType,X2 : int,X1 : X0] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X2) => power_int(X0,X1,X2) = iG429(X0,X2,X1))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG429])])).
% 58.08/9.40 tff(f11268,plain,(
% 58.08/9.40 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : int] : power_int(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) = $ite(dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X2), power_int(X0,X1,X2),aa(X0,X0,uminus_uminus(X0),power_int(X0,X1,X2))))),
% 58.08/9.40 inference(rectify,[],[f7057])).
% 58.08/9.40 tff(f7057,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0,X8 : int] : power_int(X0,aa(X0,X0,uminus_uminus(X0),X11),X8) = $ite(dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X8), power_int(X0,X11,X8),aa(X0,X0,uminus_uminus(X0),power_int(X0,X11,X8))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7056_power__int__minus__left)).
% 58.08/9.40 tff(f108204,plain,(
% 58.08/9.40 spl5880_4753),
% 58.08/9.40 inference(avatar_split_clause,[],[f52445,f108202])).
% 58.08/9.40 tff(f108202,plain,(
% 58.08/9.40 spl5880_4753 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4753])])).
% 58.08/9.40 tff(f52445,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29621])).
% 58.08/9.40 tff(f29621,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23824])).
% 58.08/9.40 tff(f23824,plain,(
% 58.08/9.40 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)))),
% 58.08/9.40 inference(rectify,[],[f4320])).
% 58.08/9.40 tff(f4320,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X12 : X0] : divide_divide(X0,X12,X11) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X11,X12)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4319_inverse__divide)).
% 58.08/9.40 tff(f108200,plain,(
% 58.08/9.40 spl5880_4752),
% 58.08/9.40 inference(avatar_split_clause,[],[f52413,f108198])).
% 58.08/9.40 tff(f108198,plain,(
% 58.08/9.40 spl5880_4752 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4752])])).
% 58.08/9.40 tff(f52413,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f39285])).
% 58.08/9.40 tff(f39285,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2))) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.40 inference(nnf_transformation,[],[f29599])).
% 58.08/9.40 tff(f29599,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) <=> zero_zero(X0) = X2) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23812])).
% 58.08/9.40 tff(f23812,plain,(
% 58.08/9.40 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat,X2 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) <=> zero_zero(X0) = X2))),
% 58.08/9.40 inference(rectify,[],[f4972])).
% 58.08/9.40 tff(f4972,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat,X11 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X8),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4971_push__bit__eq__0__iff)).
% 58.08/9.40 tff(f108196,plain,(
% 58.08/9.40 spl5880_4751 | ~spl5880_1658 | ~spl5880_2255),
% 58.08/9.40 inference(avatar_split_clause,[],[f92675,f89986,f86866,f108194])).
% 58.08/9.40 tff(f108194,plain,(
% 58.08/9.40 spl5880_4751 <=> ! [X0 : nat] : ~vEBT_VEBT_max_in_set(bot_bot(set(nat)),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4751])])).
% 58.08/9.40 tff(f89986,plain,(
% 58.08/9.40 spl5880_2255 <=> ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_max_in_set(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_2255])])).
% 58.08/9.40 tff(f92675,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (~vEBT_VEBT_max_in_set(bot_bot(set(nat)),X0)) ) | (~spl5880_1658 | ~spl5880_2255)),
% 58.08/9.40 inference(resolution,[],[f89987,f86867])).
% 58.08/9.40 tff(f89987,plain,(
% 58.08/9.40 ( ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_max_in_set(X0,X1)) ) | ~spl5880_2255),
% 58.08/9.40 inference(avatar_component_clause,[],[f89986])).
% 58.08/9.40 tff(f108192,plain,(
% 58.08/9.40 spl5880_4750),
% 58.08/9.40 inference(avatar_split_clause,[],[f52284,f108190])).
% 58.08/9.40 tff(f108190,plain,(
% 58.08/9.40 spl5880_4750 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,one_one(X0)) | ~dvd_dvd(X0,X2,one_one(X0)) | ~dvd_dvd(X0,X1,X2) | ~algebraic_semidom(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4750])])).
% 58.08/9.40 tff(f52284,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,one_one(X0)) | ~dvd_dvd(X0,X2,one_one(X0)) | ~dvd_dvd(X0,X1,X2) | ~algebraic_semidom(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29491])).
% 58.08/9.40 tff(f29491,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,one_one(X0)) | ~dvd_dvd(X0,X2,one_one(X0)) | ~dvd_dvd(X0,X1,X2)) | ~algebraic_semidom(X0))),
% 58.08/9.40 inference(flattening,[],[f29490])).
% 58.08/9.40 tff(f29490,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,one_one(X0)) | ~dvd_dvd(X0,X2,one_one(X0))) | ~dvd_dvd(X0,X1,X2)) | ~algebraic_semidom(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23721])).
% 58.08/9.40 tff(f23721,plain,(
% 58.08/9.40 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) => (dvd_dvd(X0,X2,one_one(X0)) => dvd_dvd(X0,X1,one_one(X0)))))),
% 58.08/9.40 inference(rectify,[],[f1968])).
% 58.08/9.40 tff(f1968,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X11 : X0,X12 : X0] : (dvd_dvd(X0,X11,X12) => (dvd_dvd(X0,X12,one_one(X0)) => dvd_dvd(X0,X11,one_one(X0)))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1967_dvd__unit__imp__unit)).
% 58.08/9.40 tff(f108188,plain,(
% 58.08/9.40 spl5880_4749),
% 58.08/9.40 inference(avatar_split_clause,[],[f52278,f108186])).
% 58.08/9.40 tff(f108186,plain,(
% 58.08/9.40 spl5880_4749 <=> ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,divide_divide(X0,one_one(X0),X1),one_one(X0)) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4749])])).
% 58.08/9.40 tff(f52278,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,divide_divide(X0,one_one(X0),X1),one_one(X0)) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29482])).
% 58.08/9.40 tff(f29482,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : (dvd_dvd(X0,divide_divide(X0,one_one(X0),X1),one_one(X0)) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23715])).
% 58.08/9.40 tff(f23715,plain,(
% 58.08/9.40 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => dvd_dvd(X0,divide_divide(X0,one_one(X0),X1),one_one(X0))))),
% 58.08/9.40 inference(rectify,[],[f1912])).
% 58.08/9.40 tff(f1912,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X11 : X0] : (dvd_dvd(X0,X11,one_one(X0)) => dvd_dvd(X0,divide_divide(X0,one_one(X0),X11),one_one(X0))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1911_unit__div__1__unit)).
% 58.08/9.40 tff(f108184,plain,(
% 58.08/9.40 spl5880_4748),
% 58.08/9.40 inference(avatar_split_clause,[],[f52066,f108182])).
% 58.08/9.40 tff(f108182,plain,(
% 58.08/9.40 spl5880_4748 <=> ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),zero_zero(X0)) | ~semiring_parity(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4748])])).
% 58.08/9.40 tff(f52066,plain,(
% 58.08/9.40 ( ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),zero_zero(X0)) | ~semiring_parity(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29321])).
% 58.08/9.40 tff(f29321,plain,(
% 58.08/9.40 ! [X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),zero_zero(X0)) | ~semiring_parity(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f2125])).
% 58.08/9.40 tff(f2125,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (semiring_parity(X0) => dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),zero_zero(X0)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2124_even__zero)).
% 58.08/9.40 tff(f108180,plain,(
% 58.08/9.40 spl5880_4747),
% 58.08/9.40 inference(avatar_split_clause,[],[f52065,f108178])).
% 58.08/9.40 tff(f108178,plain,(
% 58.08/9.40 spl5880_4747 <=> ! [X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),one_one(X0)) | ~semiring_parity(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4747])])).
% 58.08/9.40 tff(f52065,plain,(
% 58.08/9.40 ( ! [X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),one_one(X0)) | ~semiring_parity(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f29320])).
% 58.08/9.40 tff(f29320,plain,(
% 58.08/9.40 ! [X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),one_one(X0)) | ~semiring_parity(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f2127])).
% 58.08/9.40 tff(f2127,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (semiring_parity(X0) => ~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),one_one(X0)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2126_odd__one)).
% 58.08/9.40 tff(f108176,plain,(
% 58.08/9.40 spl5880_4746),
% 58.08/9.40 inference(avatar_split_clause,[],[f50347,f108174])).
% 58.08/9.40 tff(f108174,plain,(
% 58.08/9.40 spl5880_4746 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_un(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4746])])).
% 58.08/9.40 tff(f50347,plain,(
% 58.08/9.40 ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_un(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22874])).
% 58.08/9.40 tff(f22874,plain,(
% 58.08/9.40 ! [X0 : real] : filterlim(nat,real,aTP_Lamp_un(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))),
% 58.08/9.40 inference(rectify,[],[f6314])).
% 58.08/9.40 tff(f6314,axiom,(
% 58.08/9.40 ! [X9 : real] : filterlim(nat,real,aTP_Lamp_un(real,fun(nat,real),X9),topolo7230453075368039082e_nhds(real,exp(real,X9)),at_top(nat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6313_tendsto__exp__limit__sequentially)).
% 58.08/9.40 tff(f108172,plain,(
% 58.08/9.40 spl5880_4745),
% 58.08/9.40 inference(avatar_split_clause,[],[f50346,f108170])).
% 58.08/9.40 tff(f108170,plain,(
% 58.08/9.40 spl5880_4745 <=> ! [X0 : real] : filterlim(real,real,aTP_Lamp_wb(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4745])])).
% 58.08/9.40 tff(f50346,plain,(
% 58.08/9.40 ( ! [X0 : real] : (filterlim(real,real,aTP_Lamp_wb(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22873])).
% 58.08/9.40 tff(f22873,plain,(
% 58.08/9.40 ! [X0 : real] : filterlim(real,real,aTP_Lamp_wb(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))),
% 58.08/9.40 inference(rectify,[],[f6445])).
% 58.08/9.40 tff(f6445,axiom,(
% 58.08/9.40 ! [X9 : real] : filterlim(real,real,aTP_Lamp_wb(real,fun(real,real),X9),topolo7230453075368039082e_nhds(real,exp(real,X9)),at_top(real))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6444_tendsto__exp__limit__at__top)).
% 58.08/9.40 tff(f108168,plain,(
% 58.08/9.40 spl5880_4744),
% 58.08/9.40 inference(avatar_split_clause,[],[f50343,f108166])).
% 58.08/9.40 tff(f108166,plain,(
% 58.08/9.40 spl5880_4744 <=> ! [X0 : real] : aa(real,real,aTP_Lamp_te(real,real),X0) = divide_divide(real,cos(real,X0),sin(real,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4744])])).
% 58.08/9.40 tff(f50343,plain,(
% 58.08/9.40 ( ! [X0 : real] : (aa(real,real,aTP_Lamp_te(real,real),X0) = divide_divide(real,cos(real,X0),sin(real,X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22870])).
% 58.08/9.40 tff(f22870,plain,(
% 58.08/9.40 ! [X0 : real] : aa(real,real,aTP_Lamp_te(real,real),X0) = divide_divide(real,cos(real,X0),sin(real,X0))),
% 58.08/9.40 inference(rectify,[],[f8194])).
% 58.08/9.40 tff(f8194,axiom,(
% 58.08/9.40 ! [X105 : real] : aa(real,real,aTP_Lamp_te(real,real),X105) = divide_divide(real,cos(real,X105),sin(real,X105))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8193_ATP_Olambda__13)).
% 58.08/9.40 tff(f108164,plain,(
% 58.08/9.40 spl5880_4743),
% 58.08/9.40 inference(avatar_split_clause,[],[f50342,f108162])).
% 58.08/9.40 tff(f108162,plain,(
% 58.08/9.40 spl5880_4743 <=> ! [X0 : real] : suminf(real,aTP_Lamp_cu(real,fun(nat,real),X0)) = aa(real,real,aTP_Lamp_pf(real,real),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4743])])).
% 58.08/9.40 tff(f50342,plain,(
% 58.08/9.40 ( ! [X0 : real] : (suminf(real,aTP_Lamp_cu(real,fun(nat,real),X0)) = aa(real,real,aTP_Lamp_pf(real,real),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22869])).
% 58.08/9.40 tff(f22869,plain,(
% 58.08/9.40 ! [X0 : real] : suminf(real,aTP_Lamp_cu(real,fun(nat,real),X0)) = aa(real,real,aTP_Lamp_pf(real,real),X0)),
% 58.08/9.40 inference(rectify,[],[f8209])).
% 58.08/9.40 tff(f8209,axiom,(
% 58.08/9.40 ! [X105 : real] : aa(real,real,aTP_Lamp_pf(real,real),X105) = suminf(real,aTP_Lamp_cu(real,fun(nat,real),X105))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8208_ATP_Olambda__28)).
% 58.08/9.40 tff(f108160,plain,(
% 58.08/9.40 spl5880_4742),
% 58.08/9.40 inference(avatar_split_clause,[],[f50340,f108158])).
% 58.08/9.40 tff(f108158,plain,(
% 58.08/9.40 spl5880_4742 <=> ! [X0 : num] : aa(num,option(num),some(num),one2) = bit_and_not_num(one2,aa(num,num,bit0,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4742])])).
% 58.08/9.40 tff(f50340,plain,(
% 58.08/9.40 ( ! [X0 : num] : (aa(num,option(num),some(num),one2) = bit_and_not_num(one2,aa(num,num,bit0,X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22867])).
% 58.08/9.40 tff(f22867,plain,(
% 58.08/9.40 ! [X0 : num] : aa(num,option(num),some(num),one2) = bit_and_not_num(one2,aa(num,num,bit0,X0))),
% 58.08/9.40 inference(rectify,[],[f7385])).
% 58.08/9.40 tff(f7385,axiom,(
% 58.08/9.40 ! [X8 : num] : aa(num,option(num),some(num),one2) = bit_and_not_num(one2,aa(num,num,bit0,X8))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7384_and__not__num_Osimps_I2_J)).
% 58.08/9.40 tff(f108156,plain,(
% 58.08/9.40 spl5880_4741),
% 58.08/9.40 inference(avatar_split_clause,[],[f50337,f108154])).
% 58.08/9.40 tff(f108154,plain,(
% 58.08/9.40 spl5880_4741 <=> ! [X0 : num] : bitM(aa(num,num,bit1,X0)) = aa(num,num,bit1,aa(num,num,bit0,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4741])])).
% 58.08/9.40 tff(f50337,plain,(
% 58.08/9.40 ( ! [X0 : num] : (bitM(aa(num,num,bit1,X0)) = aa(num,num,bit1,aa(num,num,bit0,X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22864])).
% 58.08/9.40 tff(f22864,plain,(
% 58.08/9.40 ! [X0 : num] : bitM(aa(num,num,bit1,X0)) = aa(num,num,bit1,aa(num,num,bit0,X0))),
% 58.08/9.40 inference(rectify,[],[f1875])).
% 58.08/9.40 tff(f1875,axiom,(
% 58.08/9.40 ! [X8 : num] : bitM(aa(num,num,bit1,X8)) = aa(num,num,bit1,aa(num,num,bit0,X8))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1874_semiring__norm_I28_J)).
% 58.08/9.40 tff(f108152,plain,(
% 58.08/9.40 spl5880_4740 | ~spl5880_1658 | ~spl5880_2254),
% 58.08/9.40 inference(avatar_split_clause,[],[f92669,f89982,f86866,f108150])).
% 58.08/9.40 tff(f108150,plain,(
% 58.08/9.40 spl5880_4740 <=> ! [X0 : nat] : ~vEBT_VEBT_min_in_set(bot_bot(set(nat)),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4740])])).
% 58.08/9.40 tff(f89982,plain,(
% 58.08/9.40 spl5880_2254 <=> ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_min_in_set(X0,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_2254])])).
% 58.08/9.40 tff(f92669,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (~vEBT_VEBT_min_in_set(bot_bot(set(nat)),X0)) ) | (~spl5880_1658 | ~spl5880_2254)),
% 58.08/9.40 inference(resolution,[],[f89983,f86867])).
% 58.08/9.40 tff(f89983,plain,(
% 58.08/9.40 ( ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_min_in_set(X0,X1)) ) | ~spl5880_2254),
% 58.08/9.40 inference(avatar_component_clause,[],[f89982])).
% 58.08/9.40 tff(f108148,plain,(
% 58.08/9.40 spl5880_4739),
% 58.08/9.40 inference(avatar_split_clause,[],[f50334,f108146])).
% 58.08/9.40 tff(f108146,plain,(
% 58.08/9.40 spl5880_4739 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4739])])).
% 58.08/9.40 tff(f50334,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22862])).
% 58.08/9.40 tff(f22862,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)),
% 58.08/9.40 inference(rectify,[],[f3873])).
% 58.08/9.40 tff(f3873,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,nat,suc,X8) = aa(nat,nat,binomial(aa(nat,nat,suc,X8)),X8)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3872_binomial__Suc__n)).
% 58.08/9.40 tff(f108144,plain,(
% 58.08/9.40 spl5880_4738),
% 58.08/9.40 inference(avatar_split_clause,[],[f50328,f108142])).
% 58.08/9.40 tff(f108142,plain,(
% 58.08/9.40 spl5880_4738 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4738])])).
% 58.08/9.40 tff(f50328,plain,(
% 58.08/9.40 ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22856])).
% 58.08/9.40 tff(f22856,plain,(
% 58.08/9.40 ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)),
% 58.08/9.40 inference(rectify,[],[f1580])).
% 58.08/9.40 tff(f1580,axiom,(
% 58.08/9.40 ! [X14 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X14)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1579_times__int__code_I2_J)).
% 58.08/9.40 tff(f108140,plain,(
% 58.08/9.40 spl5880_4737),
% 58.08/9.40 inference(avatar_split_clause,[],[f50327,f108138])).
% 58.08/9.40 tff(f108138,plain,(
% 58.08/9.40 spl5880_4737 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4737])])).
% 58.08/9.40 tff(f50327,plain,(
% 58.08/9.40 ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22855])).
% 58.08/9.40 tff(f22855,plain,(
% 58.08/9.40 ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))),
% 58.08/9.40 inference(rectify,[],[f1581])).
% 58.08/9.40 tff(f1581,axiom,(
% 58.08/9.40 ! [X24 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X24),zero_zero(int))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1580_times__int__code_I1_J)).
% 58.08/9.40 tff(f108136,plain,(
% 58.08/9.40 spl5880_4736),
% 58.08/9.40 inference(avatar_split_clause,[],[f50326,f108134])).
% 58.08/9.40 tff(f108134,plain,(
% 58.08/9.40 spl5880_4736 <=> ! [X0 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),zero_zero(code_integer)),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4736])])).
% 58.08/9.40 tff(f50326,plain,(
% 58.08/9.40 ( ! [X0 : code_integer] : (zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),zero_zero(code_integer)),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22854])).
% 58.08/9.40 tff(f22854,plain,(
% 58.08/9.40 ! [X0 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),zero_zero(code_integer)),X0)),
% 58.08/9.40 inference(rectify,[],[f5341])).
% 58.08/9.40 tff(f5341,axiom,(
% 58.08/9.40 ! [X14 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),zero_zero(code_integer)),X14)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5340_times__integer__code_I2_J)).
% 58.08/9.40 tff(f108132,plain,(
% 58.08/9.40 spl5880_4735),
% 58.08/9.40 inference(avatar_split_clause,[],[f50325,f108130])).
% 58.08/9.40 tff(f108130,plain,(
% 58.08/9.40 spl5880_4735 <=> ! [X0 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),X0),zero_zero(code_integer))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4735])])).
% 58.08/9.40 tff(f50325,plain,(
% 58.08/9.40 ( ! [X0 : code_integer] : (zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),X0),zero_zero(code_integer))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22853])).
% 58.08/9.40 tff(f22853,plain,(
% 58.08/9.40 ! [X0 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),X0),zero_zero(code_integer))),
% 58.08/9.40 inference(rectify,[],[f5342])).
% 58.08/9.40 tff(f5342,axiom,(
% 58.08/9.40 ! [X24 : code_integer] : zero_zero(code_integer) = aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),X24),zero_zero(code_integer))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5341_times__integer__code_I1_J)).
% 58.08/9.40 tff(f108128,plain,(
% 58.08/9.40 ~spl5880_4734 | spl5880_4733),
% 58.08/9.40 inference(avatar_split_clause,[],[f108123,f108119,f108125])).
% 58.08/9.40 tff(f108125,plain,(
% 58.08/9.40 spl5880_4734 <=> zero_zero(real) = iG303(imaginary_unit)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4734])])).
% 58.08/9.40 tff(f108119,plain,(
% 58.08/9.40 spl5880_4733 <=> zero_zero(real) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4733])])).
% 58.08/9.40 tff(f108123,plain,(
% 58.08/9.40 zero_zero(real) != iG303(imaginary_unit) | spl5880_4733),
% 58.08/9.40 inference(forward_demodulation,[],[f108121,f65754])).
% 58.08/9.40 tff(f108121,plain,(
% 58.08/9.40 zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) | spl5880_4733),
% 58.08/9.40 inference(avatar_component_clause,[],[f108119])).
% 58.08/9.40 tff(f108122,plain,(
% 58.08/9.40 ~spl5880_4733),
% 58.08/9.40 inference(avatar_split_clause,[],[f50071,f108119])).
% 58.08/9.40 tff(f50071,plain,(
% 58.08/9.40 zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.40 inference(cnf_transformation,[],[f3451])).
% 58.08/9.40 tff(f3451,axiom,(
% 58.08/9.40 zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3450_pi__half__neq__zero)).
% 58.08/9.40 tff(f108117,plain,(
% 58.08/9.40 spl5880_4732),
% 58.08/9.40 inference(avatar_split_clause,[],[f48631,f108115])).
% 58.08/9.40 tff(f108115,plain,(
% 58.08/9.40 spl5880_4732 <=> ! [X0 : $tType,X4 : fun(nat,X0),X3 : fun(nat,X0),X2 : nat,X1 : set(nat)] : (aa(nat,X0,X3,X2) = iG569(X0,X1,X2,X3,X4) | member(nat,X2,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4732])])).
% 58.08/9.40 tff(f48631,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : set(nat),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG569(X0,X1,X2,X3,X4) | member(nat,X2,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27939])).
% 58.08/9.40 tff(f27939,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG569(X0,X1,X2,X3,X4) | member(nat,X2,X1)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG569(X5,X6,X7,X8,X9) | ~member(nat,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f22261])).
% 58.08/9.40 tff(f22261,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~member(nat,X2,X1) => aa(nat,X0,X3,X2) = iG569(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (member(nat,X7,X6) => aa(nat,X5,X9,X7) = iG569(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f22260])).
% 58.08/9.40 tff(f22260,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~member(nat,X2,X1) => aa(nat,X0,X3,X2) = iG569(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (member(nat,X7,X6) => aa(nat,X5,X9,X7) = iG569(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f13597])).
% 58.08/9.40 tff(f13597,plain,(
% 58.08/9.40 ! [X0 : $tType,X2 : set(nat),X4 : nat,X1 : fun(nat,X0),X3 : fun(nat,X0)] : (~member(nat,X4,X2) => aa(nat,X0,X1,X4) = iG569(X0,X2,X4,X1,X3)) & ! [X0 : $tType,X2 : set(nat),X4 : nat,X1 : fun(nat,X0),X3 : fun(nat,X0)] : (member(nat,X4,X2) => aa(nat,X0,X3,X4) = iG569(X0,X2,X4,X1,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG569])])).
% 58.08/9.40 tff(f108113,plain,(
% 58.08/9.40 spl5880_4731),
% 58.08/9.40 inference(avatar_split_clause,[],[f48630,f108111])).
% 58.08/9.40 tff(f108111,plain,(
% 58.08/9.40 spl5880_4731 <=> ! [X5 : $tType,X9 : fun(nat,X5),X7 : nat,X6 : set(nat),X8 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG569(X5,X6,X7,X8,X9) | ~member(nat,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4731])])).
% 58.08/9.40 tff(f48630,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : set(nat),X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG569(X5,X6,X7,X8,X9) | ~member(nat,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27939])).
% 58.08/9.40 tff(f108109,plain,(
% 58.08/9.40 spl5880_4730 | ~spl5880_1422 | ~spl5880_1605),
% 58.08/9.40 inference(avatar_split_clause,[],[f87490,f86614,f85672,f108106])).
% 58.08/9.40 tff(f108106,plain,(
% 58.08/9.40 spl5880_4730 <=> maxs97 = lG1839(sn96)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4730])])).
% 58.08/9.40 tff(f85672,plain,(
% 58.08/9.40 spl5880_1422 <=> maxs97 = lG1842(sn96)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1422])])).
% 58.08/9.40 tff(f86614,plain,(
% 58.08/9.40 spl5880_1605 <=> ! [X0 : vEBT_VEBT] : lG1842(X0) = lG1839(X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1605])])).
% 58.08/9.40 tff(f87490,plain,(
% 58.08/9.40 maxs97 = lG1839(sn96) | (~spl5880_1422 | ~spl5880_1605)),
% 58.08/9.40 inference(superposition,[],[f86615,f85674])).
% 58.08/9.40 tff(f85674,plain,(
% 58.08/9.40 maxs97 = lG1842(sn96) | ~spl5880_1422),
% 58.08/9.40 inference(avatar_component_clause,[],[f85672])).
% 58.08/9.40 tff(f86615,plain,(
% 58.08/9.40 ( ! [X0 : vEBT_VEBT] : (lG1842(X0) = lG1839(X0)) ) | ~spl5880_1605),
% 58.08/9.40 inference(avatar_component_clause,[],[f86614])).
% 58.08/9.40 tff(f108104,plain,(
% 58.08/9.40 spl5880_4729),
% 58.08/9.40 inference(avatar_split_clause,[],[f48439,f108102])).
% 58.08/9.40 tff(f108102,plain,(
% 58.08/9.40 spl5880_4729 <=> ! [X0 : int,X1 : int] : (iG662(X1,X0) = iG663(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4729])])).
% 58.08/9.40 tff(f48439,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (iG662(X1,X0) = iG663(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27879])).
% 58.08/9.40 tff(f27879,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (iG662(X1,X0) = iG663(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 58.08/9.40 inference(ennf_transformation,[],[f22118])).
% 58.08/9.40 tff(f22118,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => iG662(X1,X0) = iG663(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(X2,X3))),
% 58.08/9.40 inference(flattening,[],[f22117])).
% 58.08/9.40 tff(f22117,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG662(X1,X0) = iG663(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(X2,X3))),
% 58.08/9.40 inference(rectify,[],[f14677])).
% 58.08/9.40 tff(f14677,plain,(
% 58.08/9.40 ! [X1 : int,X0 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X1 => iG662(X0,X1) = iG663(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => aa(int,int,bit_ri4277139882892585799ns_not(int),X0) = iG663(X1,X0))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG663])])).
% 58.08/9.40 tff(f108100,plain,(
% 58.08/9.40 spl5880_4728),
% 58.08/9.40 inference(avatar_split_clause,[],[f48410,f108098])).
% 58.08/9.40 tff(f108098,plain,(
% 58.08/9.40 spl5880_4728 <=> ! [X0 : int,X1 : int] : (iG673(X1,X0) = iG674(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4728])])).
% 58.08/9.40 tff(f48410,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (iG673(X1,X0) = iG674(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27870])).
% 58.08/9.40 tff(f27870,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (iG673(X1,X0) = iG674(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (iG674(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 58.08/9.40 inference(ennf_transformation,[],[f22102])).
% 58.08/9.40 tff(f22102,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => iG673(X1,X0) = iG674(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG674(X2,X3) = X3)),
% 58.08/9.40 inference(flattening,[],[f22101])).
% 58.08/9.40 tff(f22101,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG673(X1,X0) = iG674(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG674(X2,X3) = X3)),
% 58.08/9.40 inference(rectify,[],[f14698])).
% 58.08/9.40 tff(f108096,plain,(
% 58.08/9.40 spl5880_4727),
% 58.08/9.40 inference(avatar_split_clause,[],[f48228,f108094])).
% 58.08/9.40 tff(f108094,plain,(
% 58.08/9.40 spl5880_4727 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : set(X3)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG765(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4727])])).
% 58.08/9.40 tff(f48228,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG765(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27835])).
% 58.08/9.40 tff(f27835,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG765(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG765(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f22009])).
% 58.08/9.40 tff(f22009,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG765(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG765(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f22008])).
% 58.08/9.40 tff(f22008,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG765(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG765(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15019])).
% 58.08/9.40 tff(f15019,plain,(
% 58.08/9.40 ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => groups1027152243600224163dd_sum(X1,X0,X3,X2) = iG765(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),groups1027152243600224163dd_sum(X1,X0,X3,X2)),aa(X1,X0,X3,X4)) = iG765(X0,X1,X2,X4,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG765])])).
% 58.08/9.40 tff(f108092,plain,(
% 58.08/9.40 spl5880_4726),
% 58.08/9.40 inference(avatar_split_clause,[],[f48226,f108090])).
% 58.08/9.40 tff(f108090,plain,(
% 58.08/9.40 spl5880_4726 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : set(X3)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG766(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4726])])).
% 58.08/9.40 tff(f48226,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG766(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27834])).
% 58.08/9.40 tff(f27834,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG766(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG766(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f22007])).
% 58.08/9.40 tff(f22007,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG766(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG766(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f22006])).
% 58.08/9.40 tff(f22006,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG766(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG766(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15024])).
% 58.08/9.40 tff(f15024,plain,(
% 58.08/9.40 ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0)] : (~member(X1,X5,X3) => groups1027152243600224163dd_sum(X1,X0,X4,X3) = iG766(X0,X1,X3,X5,X4)) & ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0)] : (member(X1,X5,X3) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),groups1027152243600224163dd_sum(X1,X0,X4,X3)),aa(X1,X0,X4,X5)) = iG766(X0,X1,X3,X5,X4))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG766])])).
% 58.08/9.40 tff(f108088,plain,(
% 58.08/9.40 spl5880_4725),
% 58.08/9.40 inference(avatar_split_clause,[],[f48219,f108086])).
% 58.08/9.40 tff(f108086,plain,(
% 58.08/9.40 spl5880_4725 <=> ! [X8 : $tType,X5 : $tType,X9 : fun(X8,X5),X7 : X8,X6 : set(X8)] : (groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG769(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4725])])).
% 58.08/9.40 tff(f48219,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG769(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27831])).
% 58.08/9.40 tff(f27831,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG769(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG769(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f22001])).
% 58.08/9.40 tff(f22001,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG769(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG769(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f22000])).
% 58.08/9.40 tff(f22000,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG769(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG769(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15129])).
% 58.08/9.40 tff(f15129,plain,(
% 58.08/9.40 ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X3,X4)),groups1027152243600224163dd_sum(X1,X0,X3,X2)) = iG769(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => groups1027152243600224163dd_sum(X1,X0,X3,X2) = iG769(X0,X1,X2,X4,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG769])])).
% 58.08/9.40 tff(f108084,plain,(
% 58.08/9.40 spl5880_4724),
% 58.08/9.40 inference(avatar_split_clause,[],[f48218,f108082])).
% 58.08/9.40 tff(f108082,plain,(
% 58.08/9.40 spl5880_4724 <=> ! [X0 : $tType,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0),X2 : X3,X1 : X3] : (aa(X3,X0,X4,X1) = iG770(X0,X3,X1,X2,X4,X5) | X1 = X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4724])])).
% 58.08/9.40 tff(f48218,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG770(X0,X3,X1,X2,X4,X5) | X1 = X2) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27830])).
% 58.08/9.40 tff(f27830,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG770(X0,X3,X1,X2,X4,X5) | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG770(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 58.08/9.40 inference(ennf_transformation,[],[f21999])).
% 58.08/9.40 tff(f21999,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (X1 != X2 => aa(X3,X0,X4,X1) = iG770(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG770(X6,X9,X7,X8,X10,X11))),
% 58.08/9.40 inference(flattening,[],[f21998])).
% 58.08/9.40 tff(f21998,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~X1 = X2 => aa(X3,X0,X4,X1) = iG770(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG770(X6,X9,X7,X8,X10,X11))),
% 58.08/9.40 inference(rectify,[],[f15140])).
% 58.08/9.40 tff(f15140,plain,(
% 58.08/9.40 ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~X2 = X5 => aa(X1,X0,X4,X5) = iG770(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (X2 = X5 => aa(X1,X0,X3,X5) = iG770(X0,X1,X5,X2,X4,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG770])])).
% 58.08/9.40 tff(f108080,plain,(
% 58.08/9.40 spl5880_4723),
% 58.08/9.40 inference(avatar_split_clause,[],[f48209,f108078])).
% 58.08/9.40 tff(f108078,plain,(
% 58.08/9.40 spl5880_4723 <=> ! [X8 : $tType,X5 : $tType,X9 : fun(X8,X5),X7 : X8,X6 : set(X8)] : (aa(X8,X5,X9,X7) = iG774(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4723])])).
% 58.08/9.40 tff(f48209,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG774(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27826])).
% 58.08/9.40 tff(f27826,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG774(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG774(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f21991])).
% 58.08/9.40 tff(f21991,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG774(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG774(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f21990])).
% 58.08/9.40 tff(f21990,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG774(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG774(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15170])).
% 58.08/9.40 tff(f15170,plain,(
% 58.08/9.40 ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,X1)] : (~member(X0,X4,X3) => one_one(X1) = iG774(X1,X0,X3,X4,X2)) & ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,X1)] : (member(X0,X4,X3) => aa(X0,X1,X2,X4) = iG774(X1,X0,X3,X4,X2))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG774])])).
% 58.08/9.40 tff(f108076,plain,(
% 58.08/9.40 spl5880_4722),
% 58.08/9.40 inference(avatar_split_clause,[],[f48204,f108074])).
% 58.08/9.40 tff(f108074,plain,(
% 58.08/9.40 spl5880_4722 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : fun(X3,$o),X1 : X3] : (one_one(X0) = iG777(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4722])])).
% 58.08/9.40 tff(f48204,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,$o),X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG777(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27823])).
% 58.08/9.40 tff(f27823,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG777(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG777(X5,X8,X6,X7,X9) | ($true != aa(X8,$o,X7,X6)))),
% 58.08/9.40 inference(ennf_transformation,[],[f21985])).
% 58.08/9.40 tff(f21985,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (($true != aa(X3,$o,X2,X1)) => one_one(X0) = iG777(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X8,X5,X9,X6) = iG777(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f21984])).
% 58.08/9.40 tff(f21984,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (~($true = aa(X3,$o,X2,X1)) => one_one(X0) = iG777(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X8,X5,X9,X6) = iG777(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15179])).
% 58.08/9.40 tff(f15179,plain,(
% 58.08/9.40 ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (~($true = aa(X0,$o,X3,X4)) => one_one(X1) = iG777(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (($true = aa(X0,$o,X3,X4)) => aa(X0,X1,X2,X4) = iG777(X1,X0,X4,X3,X2))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG777])])).
% 58.08/9.40 tff(f108072,plain,(
% 58.08/9.40 spl5880_4721),
% 58.08/9.40 inference(avatar_split_clause,[],[f48199,f108070])).
% 58.08/9.40 tff(f108070,plain,(
% 58.08/9.40 spl5880_4721 <=> ! [X8 : $tType,X5 : $tType,X9 : fun(X8,X5),X7 : X8,X6 : set(X8)] : (aa(X8,X5,X9,X7) = iG779(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4721])])).
% 58.08/9.40 tff(f48199,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG779(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27821])).
% 58.08/9.40 tff(f27821,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG779(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG779(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f21981])).
% 58.08/9.40 tff(f21981,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG779(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG779(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f21980])).
% 58.08/9.40 tff(f21980,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG779(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG779(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15185])).
% 58.08/9.40 tff(f15185,plain,(
% 58.08/9.40 ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (~member(X0,X3,X2) => one_one(X1) = iG779(X1,X0,X2,X3,X4)) & ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (member(X0,X3,X2) => aa(X0,X1,X4,X3) = iG779(X1,X0,X2,X3,X4))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG779])])).
% 58.08/9.40 tff(f108068,plain,(
% 58.08/9.40 spl5880_4720),
% 58.08/9.40 inference(avatar_split_clause,[],[f48197,f108066])).
% 58.08/9.40 tff(f108066,plain,(
% 58.08/9.40 spl5880_4720 <=> ! [X8 : $tType,X5 : $tType,X9 : fun(X8,X5),X7 : X8,X6 : set(X8)] : (aa(X8,X5,X9,X7) = iG780(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4720])])).
% 58.08/9.40 tff(f48197,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG780(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27820])).
% 58.08/9.40 tff(f27820,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG780(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG780(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f21979])).
% 58.08/9.40 tff(f21979,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG780(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG780(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f21978])).
% 58.08/9.40 tff(f21978,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG780(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG780(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15188])).
% 58.08/9.40 tff(f15188,plain,(
% 58.08/9.40 ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (~member(X0,X3,X2) => one_one(X1) = iG780(X1,X0,X2,X3,X4)) & ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (member(X0,X3,X2) => aa(X0,X1,X4,X3) = iG780(X1,X0,X2,X3,X4))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG780])])).
% 58.08/9.40 tff(f108064,plain,(
% 58.08/9.40 spl5880_4719 | ~spl5880_1416 | ~spl5880_1605),
% 58.08/9.40 inference(avatar_split_clause,[],[f87489,f86614,f85641,f108061])).
% 58.08/9.40 tff(f108061,plain,(
% 58.08/9.40 spl5880_4719 <=> maxs90 = lG1839(sn89)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4719])])).
% 58.08/9.40 tff(f85641,plain,(
% 58.08/9.40 spl5880_1416 <=> maxs90 = lG1842(sn89)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1416])])).
% 58.08/9.40 tff(f87489,plain,(
% 58.08/9.40 maxs90 = lG1839(sn89) | (~spl5880_1416 | ~spl5880_1605)),
% 58.08/9.40 inference(superposition,[],[f86615,f85643])).
% 58.08/9.40 tff(f85643,plain,(
% 58.08/9.40 maxs90 = lG1842(sn89) | ~spl5880_1416),
% 58.08/9.40 inference(avatar_component_clause,[],[f85641])).
% 58.08/9.40 tff(f108059,plain,(
% 58.08/9.40 spl5880_4718),
% 58.08/9.40 inference(avatar_split_clause,[],[f48195,f108057])).
% 58.08/9.40 tff(f108057,plain,(
% 58.08/9.40 spl5880_4718 <=> ! [X8 : $tType,X5 : $tType,X9 : fun(X8,X5),X7 : X8,X6 : set(X8)] : (groups1962203154675924110t_prod(X8,X5,X9,X6) = iG781(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4718])])).
% 58.08/9.40 tff(f48195,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (groups1962203154675924110t_prod(X8,X5,X9,X6) = iG781(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27819])).
% 58.08/9.40 tff(f27819,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG781(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (groups1962203154675924110t_prod(X8,X5,X9,X6) = iG781(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 58.08/9.40 inference(ennf_transformation,[],[f21977])).
% 58.08/9.40 tff(f21977,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG781(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1962203154675924110t_prod(X8,X5,X9,X6) = iG781(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(flattening,[],[f21976])).
% 58.08/9.40 tff(f21976,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG781(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1962203154675924110t_prod(X8,X5,X9,X6) = iG781(X5,X8,X6,X7,X9))),
% 58.08/9.40 inference(rectify,[],[f15197])).
% 58.08/9.40 tff(f15197,plain,(
% 58.08/9.40 ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X1,X0,X3,X4)),groups1962203154675924110t_prod(X1,X0,X3,X2)) = iG781(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => groups1962203154675924110t_prod(X1,X0,X3,X2) = iG781(X0,X1,X2,X4,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG781])])).
% 58.08/9.40 tff(f108055,plain,(
% 58.08/9.40 spl5880_4717),
% 58.08/9.40 inference(avatar_split_clause,[],[f48192,f108053])).
% 58.08/9.40 tff(f108053,plain,(
% 58.08/9.40 spl5880_4717 <=> ! [X0 : $tType,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0),X2 : X3,X1 : X3] : (aa(X3,X0,X4,X1) = iG783(X0,X3,X1,X2,X4,X5) | X1 = X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4717])])).
% 58.08/9.40 tff(f48192,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG783(X0,X3,X1,X2,X4,X5) | X1 = X2) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27817])).
% 58.08/9.40 tff(f27817,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG783(X0,X3,X1,X2,X4,X5) | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG783(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 58.08/9.40 inference(ennf_transformation,[],[f21973])).
% 58.08/9.40 tff(f21973,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (X1 != X2 => aa(X3,X0,X4,X1) = iG783(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG783(X6,X9,X7,X8,X10,X11))),
% 58.08/9.40 inference(flattening,[],[f21972])).
% 58.08/9.40 tff(f21972,plain,(
% 58.08/9.40 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~X1 = X2 => aa(X3,X0,X4,X1) = iG783(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG783(X6,X9,X7,X8,X10,X11))),
% 58.08/9.40 inference(rectify,[],[f15213])).
% 58.08/9.40 tff(f15213,plain,(
% 58.08/9.40 ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~X2 = X5 => aa(X1,X0,X4,X5) = iG783(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (X2 = X5 => aa(X1,X0,X3,X5) = iG783(X0,X1,X5,X2,X4,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG783])])).
% 58.08/9.40 tff(f108051,plain,(
% 58.08/9.40 spl5880_4716),
% 58.08/9.40 inference(avatar_split_clause,[],[f47621,f108049])).
% 58.08/9.40 tff(f108049,plain,(
% 58.08/9.40 spl5880_4716 <=> ! [X5 : $tType,X4 : X5,X3 : set(X5)] : (aa(set(X5),nat,finite_card(X5),X3) = iG1046(X5,X3,X4) | ~member(X5,X4,X3))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4716])])).
% 58.08/9.40 tff(f47621,plain,(
% 58.08/9.40 ( ! [X5 : $tType,X3 : set(X5),X4 : X5] : (aa(set(X5),nat,finite_card(X5),X3) = iG1046(X5,X3,X4) | ~member(X5,X4,X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27710])).
% 58.08/9.40 tff(f27710,plain,(
% 58.08/9.40 ! [X0 : set(X2),X1 : X2,X2 : $tType] : (aa(nat,nat,suc,aa(set(X2),nat,finite_card(X2),X0)) = iG1046(X2,X0,X1) | member(X2,X1,X0)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (aa(set(X5),nat,finite_card(X5),X3) = iG1046(X5,X3,X4) | ~member(X5,X4,X3))),
% 58.08/9.40 inference(ennf_transformation,[],[f21586])).
% 58.08/9.40 tff(f21586,plain,(
% 58.08/9.40 ! [X0 : set(X2),X1 : X2,X2 : $tType] : (~member(X2,X1,X0) => aa(nat,nat,suc,aa(set(X2),nat,finite_card(X2),X0)) = iG1046(X2,X0,X1)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (member(X5,X4,X3) => aa(set(X5),nat,finite_card(X5),X3) = iG1046(X5,X3,X4))),
% 58.08/9.40 inference(flattening,[],[f21585])).
% 58.08/9.40 tff(f21585,plain,(
% 58.08/9.40 ! [X0 : set(X2),X1 : X2,X2 : $tType] : (~member(X2,X1,X0) => aa(nat,nat,suc,aa(set(X2),nat,finite_card(X2),X0)) = iG1046(X2,X0,X1)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (member(X5,X4,X3) => aa(set(X5),nat,finite_card(X5),X3) = iG1046(X5,X3,X4))),
% 58.08/9.40 inference(rectify,[],[f17304])).
% 58.08/9.40 tff(f17304,plain,(
% 58.08/9.40 ! [X1 : set(X0),X2 : X0,X0 : $tType] : (~member(X0,X2,X1) => aa(nat,nat,suc,aa(set(X0),nat,finite_card(X0),X1)) = iG1046(X0,X1,X2)) & ! [X1 : set(X0),X2 : X0,X0 : $tType] : (member(X0,X2,X1) => aa(set(X0),nat,finite_card(X0),X1) = iG1046(X0,X1,X2))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1046])])).
% 58.08/9.40 tff(f108047,plain,(
% 58.08/9.40 spl5880_4715),
% 58.08/9.40 inference(avatar_split_clause,[],[f47606,f108045])).
% 58.08/9.40 tff(f108045,plain,(
% 58.08/9.40 spl5880_4715 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1053(X2,X1,X0,X3,X4) = iG1054(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4715])])).
% 58.08/9.40 tff(f47606,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1053(X2,X1,X0,X3,X4) = iG1054(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27704])).
% 58.08/9.40 tff(f27704,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1053(X2,X1,X0,X3,X4) = iG1054(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1054(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f21574])).
% 58.08/9.40 tff(f21574,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1053(X2,X1,X0,X3,X4) = iG1054(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1054(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f21573])).
% 58.08/9.40 tff(f21573,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1053(X2,X1,X0,X3,X4) = iG1054(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1054(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f17372])).
% 58.08/9.40 tff(f17372,plain,(
% 58.08/9.40 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => iG1053(X14,X1,X15,X16,X17) = iG1054(X15,X1,X14,X16,X17)) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => zero_zero(nat) = iG1054(X15,X1,X14,X16,X17))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1054])])).
% 58.08/9.40 tff(f108043,plain,(
% 58.08/9.40 spl5880_4714),
% 58.08/9.40 inference(avatar_split_clause,[],[f47604,f108041])).
% 58.08/9.40 tff(f108041,plain,(
% 58.08/9.40 spl5880_4714 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1054(X2,X1,X0,X3,X4) = iG1055(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4714])])).
% 58.08/9.40 tff(f47604,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1054(X2,X1,X0,X3,X4) = iG1055(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27703])).
% 58.08/9.40 tff(f27703,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1054(X2,X1,X0,X3,X4) = iG1055(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1055(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f21572])).
% 58.08/9.40 tff(f21572,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1054(X2,X1,X0,X3,X4) = iG1055(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1055(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f21571])).
% 58.08/9.40 tff(f21571,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1054(X2,X1,X0,X3,X4) = iG1055(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1055(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f17373])).
% 58.08/9.40 tff(f17373,plain,(
% 58.08/9.40 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => iG1054(X15,X1,X14,X16,X17) = iG1055(X14,X1,X15,X16,X17)) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => zero_zero(nat) = iG1055(X14,X1,X15,X16,X17))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1055])])).
% 58.08/9.40 tff(f108039,plain,(
% 58.08/9.40 spl5880_4713),
% 58.08/9.40 inference(avatar_split_clause,[],[f47584,f108037])).
% 58.08/9.40 tff(f108037,plain,(
% 58.08/9.40 spl5880_4713 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1064(X2,X1,X0,X3,X4) = iG1065(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4713])])).
% 58.08/9.40 tff(f47584,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1064(X2,X1,X0,X3,X4) = iG1065(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27697])).
% 58.08/9.40 tff(f27697,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1064(X2,X1,X0,X3,X4) = iG1065(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1065(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f21558])).
% 58.08/9.40 tff(f21558,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1064(X2,X1,X0,X3,X4) = iG1065(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1065(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f21557])).
% 58.08/9.40 tff(f21557,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1064(X2,X1,X0,X3,X4) = iG1065(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1065(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f17385])).
% 58.08/9.40 tff(f17385,plain,(
% 58.08/9.40 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => iG1064(X14,X1,X15,X16,X17) = iG1065(X15,X1,X14,X16,X17)) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => zero_zero(nat) = iG1065(X15,X1,X14,X16,X17))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1065])])).
% 58.08/9.40 tff(f108035,plain,(
% 58.08/9.40 spl5880_4712),
% 58.08/9.40 inference(avatar_split_clause,[],[f47582,f108033])).
% 58.08/9.40 tff(f108033,plain,(
% 58.08/9.40 spl5880_4712 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1065(X2,X1,X0,X3,X4) = iG1066(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4712])])).
% 58.08/9.40 tff(f47582,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1065(X2,X1,X0,X3,X4) = iG1066(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27696])).
% 58.08/9.40 tff(f27696,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1065(X2,X1,X0,X3,X4) = iG1066(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1066(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f21556])).
% 58.08/9.40 tff(f21556,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1065(X2,X1,X0,X3,X4) = iG1066(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1066(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f21555])).
% 58.08/9.40 tff(f21555,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1065(X2,X1,X0,X3,X4) = iG1066(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1066(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f17386])).
% 58.08/9.40 tff(f17386,plain,(
% 58.08/9.40 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => iG1065(X15,X1,X14,X16,X17) = iG1066(X14,X1,X15,X16,X17)) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => zero_zero(nat) = iG1066(X14,X1,X15,X16,X17))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1066])])).
% 58.08/9.40 tff(f108031,plain,(
% 58.08/9.40 spl5880_4711),
% 58.08/9.40 inference(avatar_split_clause,[],[f46697,f108029])).
% 58.08/9.40 tff(f108029,plain,(
% 58.08/9.40 spl5880_4711 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : ((iG1528(X2,X1,X0,X3,X4) = iG1529(X0,X1,X2,X3,X4)) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4711])])).
% 58.08/9.40 tff(f46697,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1528(X2,X1,X0,X3,X4) = iG1529(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27503])).
% 58.08/9.40 tff(f27503,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1528(X2,X1,X0,X3,X4) = iG1529(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1529(X5,X6,X7,X8,X9)) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20947])).
% 58.08/9.40 tff(f20947,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1528(X2,X1,X0,X3,X4) = iG1529(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1529(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(flattening,[],[f20946])).
% 58.08/9.40 tff(f20946,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1528(X2,X1,X0,X3,X4) = iG1529(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1529(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(rectify,[],[f18031])).
% 58.08/9.40 tff(f18031,plain,(
% 58.08/9.40 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => (iG1528(X14,X1,X15,X16,X17) = iG1529(X15,X1,X14,X16,X17))) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => ($true = iG1529(X15,X1,X14,X16,X17)))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1529])])).
% 58.08/9.40 tff(f108027,plain,(
% 58.08/9.40 spl5880_4710),
% 58.08/9.40 inference(avatar_split_clause,[],[f46695,f108025])).
% 58.08/9.40 tff(f108025,plain,(
% 58.08/9.40 spl5880_4710 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : ((iG1529(X2,X1,X0,X3,X4) = iG1530(X0,X1,X2,X3,X4)) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4710])])).
% 58.08/9.40 tff(f46695,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1529(X2,X1,X0,X3,X4) = iG1530(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27502])).
% 58.08/9.40 tff(f27502,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1529(X2,X1,X0,X3,X4) = iG1530(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1530(X5,X6,X7,X8,X9)) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20945])).
% 58.08/9.40 tff(f20945,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1529(X2,X1,X0,X3,X4) = iG1530(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1530(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(flattening,[],[f20944])).
% 58.08/9.40 tff(f20944,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1529(X2,X1,X0,X3,X4) = iG1530(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1530(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(rectify,[],[f18032])).
% 58.08/9.40 tff(f18032,plain,(
% 58.08/9.40 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => (iG1529(X15,X1,X14,X16,X17) = iG1530(X14,X1,X15,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => ($true = iG1530(X14,X1,X15,X16,X17)))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1530])])).
% 58.08/9.40 tff(f108023,plain,(
% 58.08/9.40 spl5880_4709),
% 58.08/9.40 inference(avatar_split_clause,[],[f46513,f108021])).
% 58.08/9.40 tff(f108021,plain,(
% 58.08/9.40 spl5880_4709 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1612(X2,X0,X1,X3,X4) = iG1613(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4709])])).
% 58.08/9.40 tff(f46513,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1612(X2,X0,X1,X3,X4) = iG1613(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27440])).
% 58.08/9.40 tff(f27440,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1612(X2,X0,X1,X3,X4) = iG1613(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1613(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20810])).
% 58.08/9.40 tff(f20810,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1612(X2,X0,X1,X3,X4) = iG1613(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1613(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f20809])).
% 58.08/9.40 tff(f20809,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1612(X2,X0,X1,X3,X4) = iG1613(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1613(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f19859])).
% 58.08/9.40 tff(f19859,plain,(
% 58.08/9.40 ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X1 = X5 => iG1612(X0,X5,X1,X2,X3) = iG1613(X5,X1,X0,X2,X3)) & ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X1 = X5 => zero_zero(nat) = iG1613(X5,X1,X0,X2,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1613])])).
% 58.08/9.40 tff(f108019,plain,(
% 58.08/9.40 spl5880_4708 | ~spl5880_1421 | ~spl5880_1605),
% 58.08/9.40 inference(avatar_split_clause,[],[f87487,f86614,f85667,f108016])).
% 58.08/9.40 tff(f108016,plain,(
% 58.08/9.40 spl5880_4708 <=> maxs77 = lG1839(sn76)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4708])])).
% 58.08/9.40 tff(f85667,plain,(
% 58.08/9.40 spl5880_1421 <=> maxs77 = lG1842(sn76)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1421])])).
% 58.08/9.40 tff(f87487,plain,(
% 58.08/9.40 maxs77 = lG1839(sn76) | (~spl5880_1421 | ~spl5880_1605)),
% 58.08/9.40 inference(superposition,[],[f86615,f85669])).
% 58.08/9.40 tff(f85669,plain,(
% 58.08/9.40 maxs77 = lG1842(sn76) | ~spl5880_1421),
% 58.08/9.40 inference(avatar_component_clause,[],[f85667])).
% 58.08/9.40 tff(f108014,plain,(
% 58.08/9.40 spl5880_4707),
% 58.08/9.40 inference(avatar_split_clause,[],[f46511,f108012])).
% 58.08/9.40 tff(f108012,plain,(
% 58.08/9.40 spl5880_4707 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1613(X0,X2,X1,X3,X4) = iG1614(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4707])])).
% 58.08/9.40 tff(f46511,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1613(X0,X2,X1,X3,X4) = iG1614(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27439])).
% 58.08/9.40 tff(f27439,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (iG1613(X0,X2,X1,X3,X4) = iG1614(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (zero_zero(nat) = iG1614(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20808])).
% 58.08/9.40 tff(f20808,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => iG1613(X0,X2,X1,X3,X4) = iG1614(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1614(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(flattening,[],[f20807])).
% 58.08/9.40 tff(f20807,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => iG1613(X0,X2,X1,X3,X4) = iG1614(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => zero_zero(nat) = iG1614(X5,X6,X7,X8,X9))),
% 58.08/9.40 inference(rectify,[],[f19860])).
% 58.08/9.40 tff(f19860,plain,(
% 58.08/9.40 ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X0 = X5 => iG1613(X5,X1,X0,X2,X3) = iG1614(X5,X0,X1,X2,X3)) & ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X0 = X5 => zero_zero(nat) = iG1614(X5,X0,X1,X2,X3))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1614])])).
% 58.08/9.40 tff(f108010,plain,(
% 58.08/9.40 spl5880_4706),
% 58.08/9.40 inference(avatar_split_clause,[],[f46238,f108008])).
% 58.08/9.40 tff(f108008,plain,(
% 58.08/9.40 spl5880_4706 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : ((iG1776(X2,X0,X1,X3,X4) = iG1777(X0,X1,X2,X3,X4)) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4706])])).
% 58.08/9.40 tff(f46238,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1776(X2,X0,X1,X3,X4) = iG1777(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27333])).
% 58.08/9.40 tff(f27333,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1776(X2,X0,X1,X3,X4) = iG1777(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1777(X5,X6,X7,X8,X9)) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20572])).
% 58.08/9.40 tff(f20572,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1776(X2,X0,X1,X3,X4) = iG1777(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1777(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(flattening,[],[f20571])).
% 58.08/9.40 tff(f20571,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1776(X2,X0,X1,X3,X4) = iG1777(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1777(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(rectify,[],[f20195])).
% 58.08/9.40 tff(f20195,plain,(
% 58.08/9.40 ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X1 = X5 => (iG1776(X0,X5,X1,X2,X3) = iG1777(X5,X1,X0,X2,X3))) & ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X1 = X5 => ($true = iG1777(X5,X1,X0,X2,X3)))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1777])])).
% 58.08/9.40 tff(f108006,plain,(
% 58.08/9.40 spl5880_4705),
% 58.08/9.40 inference(avatar_split_clause,[],[f46236,f108004])).
% 58.08/9.40 tff(f108004,plain,(
% 58.08/9.40 spl5880_4705 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : ((iG1777(X0,X2,X1,X3,X4) = iG1778(X0,X1,X2,X3,X4)) | X0 = X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4705])])).
% 58.08/9.40 tff(f46236,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1777(X0,X2,X1,X3,X4) = iG1778(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27332])).
% 58.08/9.40 tff(f27332,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1777(X0,X2,X1,X3,X4) = iG1778(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1778(X5,X6,X7,X8,X9)) | X5 != X6)),
% 58.08/9.40 inference(ennf_transformation,[],[f20570])).
% 58.08/9.40 tff(f20570,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1777(X0,X2,X1,X3,X4) = iG1778(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1778(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(flattening,[],[f20569])).
% 58.08/9.40 tff(f20569,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1777(X0,X2,X1,X3,X4) = iG1778(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1778(X5,X6,X7,X8,X9)))),
% 58.08/9.40 inference(rectify,[],[f20196])).
% 58.08/9.40 tff(f20196,plain,(
% 58.08/9.40 ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X0 = X5 => (iG1777(X5,X1,X0,X2,X3) = iG1778(X5,X0,X1,X2,X3))) & ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X0 = X5 => ($true = iG1778(X5,X0,X1,X2,X3)))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG1778])])).
% 58.08/9.40 tff(f107933,plain,(
% 58.08/9.40 spl5880_4704 | spl5880_1447 | ~spl5880_1550),
% 58.08/9.40 inference(avatar_split_clause,[],[f87440,f86378,f85802,f107930])).
% 58.08/9.40 tff(f107930,plain,(
% 58.08/9.40 spl5880_4704 <=> ($false = bG699(zero_zero(int)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4704])])).
% 58.08/9.40 tff(f85802,plain,(
% 58.08/9.40 spl5880_1447 <=> ($true = bG699(zero_zero(int)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1447])])).
% 58.08/9.40 tff(f87440,plain,(
% 58.08/9.40 ($false = bG699(zero_zero(int))) | (spl5880_1447 | ~spl5880_1550)),
% 58.08/9.40 inference(trivial_inequality_removal,[],[f87436])).
% 58.08/9.40 tff(f87436,plain,(
% 58.08/9.40 ($true != $true) | ($false = bG699(zero_zero(int))) | (spl5880_1447 | ~spl5880_1550)),
% 58.08/9.40 inference(superposition,[],[f85804,f86379])).
% 58.08/9.40 tff(f85804,plain,(
% 58.08/9.40 ($true != bG699(zero_zero(int))) | spl5880_1447),
% 58.08/9.40 inference(avatar_component_clause,[],[f85802])).
% 58.08/9.40 tff(f107913,plain,(
% 58.08/9.40 spl5880_4703 | spl5880_1445 | ~spl5880_1550),
% 58.08/9.40 inference(avatar_split_clause,[],[f87439,f86378,f85792,f107910])).
% 58.08/9.40 tff(f107910,plain,(
% 58.08/9.40 spl5880_4703 <=> ($false = bG703(zero_zero(int)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4703])])).
% 58.08/9.40 tff(f85792,plain,(
% 58.08/9.40 spl5880_1445 <=> ($true = bG703(zero_zero(int)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1445])])).
% 58.08/9.40 tff(f87439,plain,(
% 58.08/9.40 ($false = bG703(zero_zero(int))) | (spl5880_1445 | ~spl5880_1550)),
% 58.08/9.40 inference(trivial_inequality_removal,[],[f87437])).
% 58.08/9.40 tff(f87437,plain,(
% 58.08/9.40 ($true != $true) | ($false = bG703(zero_zero(int))) | (spl5880_1445 | ~spl5880_1550)),
% 58.08/9.40 inference(superposition,[],[f85794,f86379])).
% 58.08/9.40 tff(f85794,plain,(
% 58.08/9.40 ($true != bG703(zero_zero(int))) | spl5880_1445),
% 58.08/9.40 inference(avatar_component_clause,[],[f85792])).
% 58.08/9.40 tff(f107908,plain,(
% 58.08/9.40 spl5880_4702 | ~spl5880_1544 | ~spl5880_4671),
% 58.08/9.40 inference(avatar_split_clause,[],[f106527,f106524,f86336,f107906])).
% 58.08/9.40 tff(f107906,plain,(
% 58.08/9.40 spl5880_4702 <=> ! [X0 : option(product_prod(nat,nat)),X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : vEBT_Node(X0,iG717($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG717($true),X1,X2),X3)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4702])])).
% 58.08/9.40 tff(f106524,plain,(
% 58.08/9.40 spl5880_4671 <=> ! [X0 : option(product_prod(nat,nat)),X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : vEBT_Node(X0,iG894($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG894($true),X1,X2),X3)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4671])])).
% 58.08/9.40 tff(f106527,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG717($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1544 | ~spl5880_4671)),
% 58.08/9.40 inference(forward_demodulation,[],[f106525,f86338])).
% 58.08/9.40 tff(f106525,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG894($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG894($true),X1,X2),X3)) ) | ~spl5880_4671),
% 58.08/9.40 inference(avatar_component_clause,[],[f106524])).
% 58.08/9.40 tff(f107904,plain,(
% 58.08/9.40 spl5880_4701 | ~spl5880_1544 | ~spl5880_4670),
% 58.08/9.40 inference(avatar_split_clause,[],[f106522,f106519,f86336,f107902])).
% 58.08/9.40 tff(f107902,plain,(
% 58.08/9.40 spl5880_4701 <=> ! [X2 : nat] : dvd_dvd(nat,iG717($true),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG717($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4701])])).
% 58.08/9.40 tff(f106519,plain,(
% 58.08/9.40 spl5880_4670 <=> ! [X2 : nat] : dvd_dvd(nat,iG894($true),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG894($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4670])])).
% 58.08/9.40 tff(f106522,plain,(
% 58.08/9.40 ( ! [X2 : nat] : (dvd_dvd(nat,iG717($true),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG717($true)))) ) | (~spl5880_1544 | ~spl5880_4670)),
% 58.08/9.40 inference(forward_demodulation,[],[f106520,f86338])).
% 58.08/9.40 tff(f106520,plain,(
% 58.08/9.40 ( ! [X2 : nat] : (dvd_dvd(nat,iG894($true),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG894($true)))) ) | ~spl5880_4670),
% 58.08/9.40 inference(avatar_component_clause,[],[f106519])).
% 58.08/9.40 tff(f107900,plain,(
% 58.08/9.40 spl5880_4700 | ~spl5880_1544 | ~spl5880_4669),
% 58.08/9.40 inference(avatar_split_clause,[],[f106517,f106513,f86336,f107898])).
% 58.08/9.40 tff(f107898,plain,(
% 58.08/9.40 spl5880_4700 <=> ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK5249(X0,iG717($true),X2) | ~sP2388(X0,iG717($true),X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4700])])).
% 58.08/9.40 tff(f106513,plain,(
% 58.08/9.40 spl5880_4669 <=> ! [X0 : $tType,X2 : set(X0)] : (~sP2388(X0,iG894($true),X2) | bot_bot(set(X0)) = sK5249(X0,iG894($true),X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4669])])).
% 58.08/9.40 tff(f106517,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK5249(X0,iG717($true),X2) | ~sP2388(X0,iG717($true),X2)) ) | (~spl5880_1544 | ~spl5880_4669)),
% 58.08/9.40 inference(forward_demodulation,[],[f106516,f86338])).
% 58.08/9.40 tff(f106516,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (~sP2388(X0,iG717($true),X2) | bot_bot(set(X0)) = sK5249(X0,iG894($true),X2)) ) | (~spl5880_1544 | ~spl5880_4669)),
% 58.08/9.40 inference(forward_demodulation,[],[f106514,f86338])).
% 58.08/9.40 tff(f106514,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (~sP2388(X0,iG894($true),X2) | bot_bot(set(X0)) = sK5249(X0,iG894($true),X2)) ) | ~spl5880_4669),
% 58.08/9.40 inference(avatar_component_clause,[],[f106513])).
% 58.08/9.40 tff(f107896,plain,(
% 58.08/9.40 spl5880_4699 | ~spl5880_6 | ~spl5880_3360 | ~spl5880_4664),
% 58.08/9.40 inference(avatar_split_clause,[],[f106489,f106485,f97687,f78473,f107894])).
% 58.08/9.40 tff(f107894,plain,(
% 58.08/9.40 spl5880_4699 <=> ! [X2 : real,X0 : real,X1 : real] : iG349(real,X0,real_V8093663219630862766scaleR(real,X1,X2)) = powr(real,iG349(real,X0,X1),X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4699])])).
% 58.08/9.40 tff(f78473,plain,(
% 58.08/9.40 spl5880_6 <=> ln(real)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_6])])).
% 58.08/9.40 tff(f97687,plain,(
% 58.08/9.40 spl5880_3360 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (powr(X0,X1,X2) = iG349(X0,X1,X2) | ~ln(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_3360])])).
% 58.08/9.40 tff(f106485,plain,(
% 58.08/9.40 spl5880_4664 <=> ! [X2 : real,X0 : real,X1 : real] : powr(real,powr(real,X0,X1),X2) = powr(real,X0,real_V8093663219630862766scaleR(real,X1,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4664])])).
% 58.08/9.40 tff(f106489,plain,(
% 58.08/9.40 ( ! [X2 : real,X0 : real,X1 : real] : (iG349(real,X0,real_V8093663219630862766scaleR(real,X1,X2)) = powr(real,iG349(real,X0,X1),X2)) ) | (~spl5880_6 | ~spl5880_3360 | ~spl5880_4664)),
% 58.08/9.40 inference(forward_demodulation,[],[f106488,f98488])).
% 58.08/9.40 tff(f98488,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (powr(real,X0,X1) = iG349(real,X0,X1)) ) | (~spl5880_6 | ~spl5880_3360)),
% 58.08/9.40 inference(resolution,[],[f97688,f78475])).
% 58.08/9.40 tff(f78475,plain,(
% 58.08/9.40 ln(real) | ~spl5880_6),
% 58.08/9.40 inference(avatar_component_clause,[],[f78473])).
% 58.08/9.40 tff(f97688,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~ln(X0) | powr(X0,X1,X2) = iG349(X0,X1,X2)) ) | ~spl5880_3360),
% 58.08/9.40 inference(avatar_component_clause,[],[f97687])).
% 58.08/9.40 tff(f106488,plain,(
% 58.08/9.40 ( ! [X2 : real,X0 : real,X1 : real] : (powr(real,powr(real,X0,X1),X2) = iG349(real,X0,real_V8093663219630862766scaleR(real,X1,X2))) ) | (~spl5880_6 | ~spl5880_3360 | ~spl5880_4664)),
% 58.08/9.40 inference(forward_demodulation,[],[f106486,f98488])).
% 58.08/9.40 tff(f106486,plain,(
% 58.08/9.40 ( ! [X2 : real,X0 : real,X1 : real] : (powr(real,powr(real,X0,X1),X2) = powr(real,X0,real_V8093663219630862766scaleR(real,X1,X2))) ) | ~spl5880_4664),
% 58.08/9.40 inference(avatar_component_clause,[],[f106485])).
% 58.08/9.40 tff(f107833,plain,(
% 58.08/9.40 spl5880_4698 | ~spl5880_1544 | ~spl5880_4656),
% 58.08/9.40 inference(avatar_split_clause,[],[f106439,f106436,f86336,f107831])).
% 58.08/9.40 tff(f107831,plain,(
% 58.08/9.40 spl5880_4698 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG717($true)),X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4698])])).
% 58.08/9.40 tff(f106436,plain,(
% 58.08/9.40 spl5880_4656 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG894($true)),X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4656])])).
% 58.08/9.40 tff(f106439,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG717($true)),X0))) ) | (~spl5880_1544 | ~spl5880_4656)),
% 58.08/9.40 inference(forward_demodulation,[],[f106437,f86338])).
% 58.08/9.40 tff(f106437,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG894($true)),X0))) ) | ~spl5880_4656),
% 58.08/9.40 inference(avatar_component_clause,[],[f106436])).
% 58.08/9.40 tff(f107813,plain,(
% 58.08/9.40 spl5880_4697 | ~spl5880_1443 | ~spl5880_1454),
% 58.08/9.40 inference(avatar_split_clause,[],[f86179,f85832,f85782,f107811])).
% 58.08/9.40 tff(f107811,plain,(
% 58.08/9.40 spl5880_4697 <=> ! [X0 : nat] : sP1874(nat,iG717($true),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4697])])).
% 58.08/9.40 tff(f85832,plain,(
% 58.08/9.40 spl5880_1454 <=> ! [X1 : $tType,X2 : X1] : sP1874(X1,zero_zero(X1),X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1454])])).
% 58.08/9.40 tff(f86179,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (sP1874(nat,iG717($true),X0)) ) | (~spl5880_1443 | ~spl5880_1454)),
% 58.08/9.40 inference(superposition,[],[f85833,f85784])).
% 58.08/9.40 tff(f85833,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : X1] : (sP1874(X1,zero_zero(X1),X2)) ) | ~spl5880_1454),
% 58.08/9.40 inference(avatar_component_clause,[],[f85832])).
% 58.08/9.40 tff(f107809,plain,(
% 58.08/9.40 spl5880_4696 | ~spl5880_1544 | ~spl5880_4653),
% 58.08/9.40 inference(avatar_split_clause,[],[f106424,f106421,f86336,f107807])).
% 58.08/9.40 tff(f107807,plain,(
% 58.08/9.40 spl5880_4696 <=> ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),iG717($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4696])])).
% 58.08/9.40 tff(f106421,plain,(
% 58.08/9.40 spl5880_4653 <=> ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),iG894($true)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4653])])).
% 58.08/9.40 tff(f106424,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),iG717($true)))) ) | (~spl5880_1544 | ~spl5880_4653)),
% 58.08/9.40 inference(forward_demodulation,[],[f106422,f86338])).
% 58.08/9.40 tff(f106422,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),iG894($true)))) ) | ~spl5880_4653),
% 58.08/9.40 inference(avatar_component_clause,[],[f106421])).
% 58.08/9.40 tff(f107803,plain,(
% 58.08/9.40 spl5880_4695 | ~spl5880_1544 | ~spl5880_4651),
% 58.08/9.40 inference(avatar_split_clause,[],[f106413,f106410,f86336,f107801])).
% 58.08/9.40 tff(f107801,plain,(
% 58.08/9.40 spl5880_4695 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),iG717($true)) | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4695])])).
% 58.08/9.40 tff(f106410,plain,(
% 58.08/9.40 spl5880_4651 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),iG894($true)) | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4651])])).
% 58.08/9.40 tff(f106413,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),iG717($true)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | (~spl5880_1544 | ~spl5880_4651)),
% 58.08/9.40 inference(forward_demodulation,[],[f106411,f86338])).
% 58.08/9.40 tff(f106411,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),iG894($true)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | ~spl5880_4651),
% 58.08/9.40 inference(avatar_component_clause,[],[f106410])).
% 58.08/9.40 tff(f107772,plain,(
% 58.08/9.40 spl5880_4694 | ~spl5880_1544 | ~spl5880_4646),
% 58.08/9.40 inference(avatar_split_clause,[],[f106392,f106389,f86336,f107770])).
% 58.08/9.40 tff(f107770,plain,(
% 58.08/9.40 spl5880_4694 <=> ! [X0 : num] : iG717($true) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4694])])).
% 58.08/9.40 tff(f106389,plain,(
% 58.08/9.40 spl5880_4646 <=> ! [X0 : num] : iG894($true) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4646])])).
% 58.08/9.40 tff(f106392,plain,(
% 58.08/9.40 ( ! [X0 : num] : (iG717($true) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))) ) | (~spl5880_1544 | ~spl5880_4646)),
% 58.08/9.40 inference(forward_demodulation,[],[f106390,f86338])).
% 58.08/9.40 tff(f106390,plain,(
% 58.08/9.40 ( ! [X0 : num] : (iG894($true) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))) ) | ~spl5880_4646),
% 58.08/9.40 inference(avatar_component_clause,[],[f106389])).
% 58.08/9.40 tff(f107768,plain,(
% 58.08/9.40 spl5880_4693 | ~spl5880_1544 | ~spl5880_4643),
% 58.08/9.40 inference(avatar_split_clause,[],[f106377,f106374,f86336,f107766])).
% 58.08/9.40 tff(f107766,plain,(
% 58.08/9.40 spl5880_4693 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),iG717($true)),X0) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4693])])).
% 58.08/9.40 tff(f106374,plain,(
% 58.08/9.40 spl5880_4643 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),iG894($true)),X0) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4643])])).
% 58.08/9.40 tff(f106377,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),iG717($true)),X0) = X0) ) | (~spl5880_1544 | ~spl5880_4643)),
% 58.08/9.40 inference(forward_demodulation,[],[f106375,f86338])).
% 58.08/9.40 tff(f106375,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),iG894($true)),X0) = X0) ) | ~spl5880_4643),
% 58.08/9.40 inference(avatar_component_clause,[],[f106374])).
% 58.08/9.40 tff(f107764,plain,(
% 58.08/9.40 spl5880_4692 | ~spl5880_1544 | ~spl5880_4640),
% 58.08/9.40 inference(avatar_split_clause,[],[f106360,f106357,f86336,f107762])).
% 58.08/9.40 tff(f107762,plain,(
% 58.08/9.40 spl5880_4692 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG717($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4692])])).
% 58.08/9.40 tff(f106357,plain,(
% 58.08/9.40 spl5880_4640 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG894($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4640])])).
% 58.08/9.40 tff(f106360,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG717($true)) = X0) ) | (~spl5880_1544 | ~spl5880_4640)),
% 58.08/9.40 inference(forward_demodulation,[],[f106358,f86338])).
% 58.08/9.40 tff(f106358,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG894($true)) = X0) ) | ~spl5880_4640),
% 58.08/9.40 inference(avatar_component_clause,[],[f106357])).
% 58.08/9.40 tff(f107760,plain,(
% 58.08/9.40 spl5880_4691 | ~spl5880_1409 | ~spl5880_1454),
% 58.08/9.40 inference(avatar_split_clause,[],[f86178,f85832,f85611,f107758])).
% 58.08/9.40 tff(f107758,plain,(
% 58.08/9.40 spl5880_4691 <=> ! [X0 : extended_enat] : sP1874(extended_enat,bot_bot(extended_enat),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4691])])).
% 58.08/9.40 tff(f85611,plain,(
% 58.08/9.40 spl5880_1409 <=> zero_zero(extended_enat) = bot_bot(extended_enat)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1409])])).
% 58.08/9.40 tff(f86178,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (sP1874(extended_enat,bot_bot(extended_enat),X0)) ) | (~spl5880_1409 | ~spl5880_1454)),
% 58.08/9.40 inference(superposition,[],[f85833,f85613])).
% 58.08/9.40 tff(f85613,plain,(
% 58.08/9.40 zero_zero(extended_enat) = bot_bot(extended_enat) | ~spl5880_1409),
% 58.08/9.40 inference(avatar_component_clause,[],[f85611])).
% 58.08/9.40 tff(f107756,plain,(
% 58.08/9.40 spl5880_4690 | ~spl5880_1544 | ~spl5880_4639),
% 58.08/9.40 inference(avatar_split_clause,[],[f106355,f106352,f86336,f107754])).
% 58.08/9.40 tff(f107754,plain,(
% 58.08/9.40 spl5880_4690 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),iG717($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4690])])).
% 58.08/9.40 tff(f106352,plain,(
% 58.08/9.40 spl5880_4639 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),iG894($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4639])])).
% 58.08/9.40 tff(f106355,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),iG717($true)) = X0) ) | (~spl5880_1544 | ~spl5880_4639)),
% 58.08/9.40 inference(forward_demodulation,[],[f106353,f86338])).
% 58.08/9.40 tff(f106353,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),iG894($true)) = X0) ) | ~spl5880_4639),
% 58.08/9.40 inference(avatar_component_clause,[],[f106352])).
% 58.08/9.40 tff(f107752,plain,(
% 58.08/9.40 spl5880_4689 | ~spl5880_1544 | ~spl5880_4638),
% 58.08/9.40 inference(avatar_split_clause,[],[f106350,f106347,f86336,f107750])).
% 58.08/9.40 tff(f107750,plain,(
% 58.08/9.40 spl5880_4689 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),iG717($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4689])])).
% 58.08/9.40 tff(f106347,plain,(
% 58.08/9.40 spl5880_4638 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),iG894($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4638])])).
% 58.08/9.40 tff(f106350,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),iG717($true)) = X0) ) | (~spl5880_1544 | ~spl5880_4638)),
% 58.08/9.40 inference(forward_demodulation,[],[f106348,f86338])).
% 58.08/9.40 tff(f106348,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),iG894($true)) = X0) ) | ~spl5880_4638),
% 58.08/9.40 inference(avatar_component_clause,[],[f106347])).
% 58.08/9.40 tff(f107748,plain,(
% 58.08/9.40 spl5880_4688 | ~spl5880_1544 | ~spl5880_4634),
% 58.08/9.40 inference(avatar_split_clause,[],[f106333,f106330,f86336,f107746])).
% 58.08/9.40 tff(f107746,plain,(
% 58.08/9.40 spl5880_4688 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0) = iG717($true)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4688])])).
% 58.08/9.40 tff(f106330,plain,(
% 58.08/9.40 spl5880_4634 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0) = iG894($true)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4634])])).
% 58.08/9.40 tff(f106333,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0) = iG717($true)) ) | (~spl5880_1544 | ~spl5880_4634)),
% 58.08/9.40 inference(forward_demodulation,[],[f106331,f86338])).
% 58.08/9.40 tff(f106331,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0) = iG894($true)) ) | ~spl5880_4634),
% 58.08/9.40 inference(avatar_component_clause,[],[f106330])).
% 58.08/9.40 tff(f107732,plain,(
% 58.08/9.40 spl5880_4687 | ~spl5880_4631),
% 58.08/9.40 inference(avatar_split_clause,[],[f106316,f106312,f107729])).
% 58.08/9.40 tff(f107729,plain,(
% 58.08/9.40 spl5880_4687 <=> filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,arcsin,cos(real,pi))),at_bot(real))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4687])])).
% 58.08/9.40 tff(f106312,plain,(
% 58.08/9.40 spl5880_4631 <=> filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),iG303(imaginary_unit))),at_bot(real))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4631])])).
% 58.08/9.40 tff(f106316,plain,(
% 58.08/9.40 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,arcsin,cos(real,pi))),at_bot(real)) | ~spl5880_4631),
% 58.08/9.40 inference(forward_demodulation,[],[f106314,f69816])).
% 58.08/9.40 tff(f69816,plain,(
% 58.08/9.40 aa(real,real,uminus_uminus(real),iG303(imaginary_unit)) = aa(real,real,arcsin,cos(real,pi))),
% 58.08/9.40 inference(forward_demodulation,[],[f69815,f65754])).
% 58.08/9.40 tff(f69815,plain,(
% 58.08/9.40 aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,cos(real,pi))),
% 58.08/9.40 inference(forward_demodulation,[],[f69814,f69747])).
% 58.08/9.40 tff(f69814,plain,(
% 58.08/9.40 aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 58.08/9.40 inference(forward_demodulation,[],[f50130,f50004])).
% 58.08/9.40 tff(f50130,plain,(
% 58.08/9.40 aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real)))),
% 58.08/9.40 inference(cnf_transformation,[],[f3887])).
% 58.08/9.40 tff(f3887,axiom,(
% 58.08/9.40 aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3886_arcsin__minus__1)).
% 58.08/9.40 tff(f106314,plain,(
% 58.08/9.40 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),iG303(imaginary_unit))),at_bot(real)) | ~spl5880_4631),
% 58.08/9.40 inference(avatar_component_clause,[],[f106312])).
% 58.08/9.40 tff(f107727,plain,(
% 58.08/9.40 spl5880_4686 | ~spl5880_1443 | ~spl5880_1453),
% 58.08/9.40 inference(avatar_split_clause,[],[f86177,f85828,f85782,f107725])).
% 58.08/9.40 tff(f107725,plain,(
% 58.08/9.40 spl5880_4686 <=> ! [X0 : nat] : sP1870(nat,iG717($true),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4686])])).
% 58.08/9.40 tff(f85828,plain,(
% 58.08/9.40 spl5880_1453 <=> ! [X1 : $tType,X2 : X1] : sP1870(X1,zero_zero(X1),X2)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1453])])).
% 58.08/9.40 tff(f86177,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (sP1870(nat,iG717($true),X0)) ) | (~spl5880_1443 | ~spl5880_1453)),
% 58.08/9.40 inference(superposition,[],[f85829,f85784])).
% 58.08/9.40 tff(f85829,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : X1] : (sP1870(X1,zero_zero(X1),X2)) ) | ~spl5880_1453),
% 58.08/9.40 inference(avatar_component_clause,[],[f85828])).
% 58.08/9.40 tff(f107723,plain,(
% 58.08/9.40 spl5880_4685 | ~spl5880_1544 | ~spl5880_4629),
% 58.08/9.40 inference(avatar_split_clause,[],[f106305,f106302,f86336,f107721])).
% 58.08/9.40 tff(f107721,plain,(
% 58.08/9.40 spl5880_4685 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),iG717($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4685])])).
% 58.08/9.40 tff(f106302,plain,(
% 58.08/9.40 spl5880_4629 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),iG894($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4629])])).
% 58.08/9.40 tff(f106305,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),iG717($true)),X3) = X3) ) | (~spl5880_1544 | ~spl5880_4629)),
% 58.08/9.40 inference(forward_demodulation,[],[f106303,f86338])).
% 58.08/9.40 tff(f106303,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),iG894($true)),X3) = X3) ) | ~spl5880_4629),
% 58.08/9.40 inference(avatar_component_clause,[],[f106302])).
% 58.08/9.40 tff(f107719,plain,(
% 58.08/9.40 spl5880_4684 | ~spl5880_1544 | ~spl5880_4628),
% 58.08/9.40 inference(avatar_split_clause,[],[f106300,f106297,f86336,f107717])).
% 58.08/9.40 tff(f107717,plain,(
% 58.08/9.40 spl5880_4684 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),iG717($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4684])])).
% 58.08/9.40 tff(f106297,plain,(
% 58.08/9.40 spl5880_4628 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),iG894($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4628])])).
% 58.08/9.40 tff(f106300,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),iG717($true)),X3) = X3) ) | (~spl5880_1544 | ~spl5880_4628)),
% 58.08/9.40 inference(forward_demodulation,[],[f106298,f86338])).
% 58.08/9.40 tff(f106298,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),iG894($true)),X3) = X3) ) | ~spl5880_4628),
% 58.08/9.40 inference(avatar_component_clause,[],[f106297])).
% 58.08/9.40 tff(f107715,plain,(
% 58.08/9.40 spl5880_4683 | ~spl5880_1544 | ~spl5880_4627),
% 58.08/9.40 inference(avatar_split_clause,[],[f106295,f106292,f86336,f107713])).
% 58.08/9.40 tff(f107713,plain,(
% 58.08/9.40 spl5880_4683 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG717($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4683])])).
% 58.08/9.40 tff(f106292,plain,(
% 58.08/9.40 spl5880_4627 <=> ! [X3 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG894($true)),X3) = X3),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4627])])).
% 58.08/9.40 tff(f106295,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG717($true)),X3) = X3) ) | (~spl5880_1544 | ~spl5880_4627)),
% 58.08/9.40 inference(forward_demodulation,[],[f106293,f86338])).
% 58.08/9.40 tff(f106293,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG894($true)),X3) = X3) ) | ~spl5880_4627),
% 58.08/9.40 inference(avatar_component_clause,[],[f106292])).
% 58.08/9.40 tff(f107642,plain,(
% 58.08/9.40 spl5880_4682 | ~spl5880_1409 | ~spl5880_1453),
% 58.08/9.40 inference(avatar_split_clause,[],[f86176,f85828,f85611,f107640])).
% 58.08/9.40 tff(f107640,plain,(
% 58.08/9.40 spl5880_4682 <=> ! [X0 : extended_enat] : sP1870(extended_enat,bot_bot(extended_enat),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4682])])).
% 58.08/9.40 tff(f86176,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (sP1870(extended_enat,bot_bot(extended_enat),X0)) ) | (~spl5880_1409 | ~spl5880_1453)),
% 58.08/9.40 inference(superposition,[],[f85829,f85613])).
% 58.08/9.40 tff(f107405,plain,(
% 58.08/9.40 spl5880_4681 | ~spl5880_1550 | spl5880_4679),
% 58.08/9.40 inference(avatar_split_clause,[],[f107357,f106906,f86378,f107402])).
% 58.08/9.40 tff(f107402,plain,(
% 58.08/9.40 spl5880_4681 <=> ($false = bG323(iG271))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4681])])).
% 58.08/9.40 tff(f106906,plain,(
% 58.08/9.40 spl5880_4679 <=> ($true = bG323(iG271))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4679])])).
% 58.08/9.40 tff(f107357,plain,(
% 58.08/9.40 ($false = bG323(iG271)) | (~spl5880_1550 | spl5880_4679)),
% 58.08/9.40 inference(trivial_inequality_removal,[],[f107356])).
% 58.08/9.40 tff(f107356,plain,(
% 58.08/9.40 ($true != $true) | ($false = bG323(iG271)) | (~spl5880_1550 | spl5880_4679)),
% 58.08/9.40 inference(superposition,[],[f106908,f86379])).
% 58.08/9.40 tff(f106908,plain,(
% 58.08/9.40 ($true != bG323(iG271)) | spl5880_4679),
% 58.08/9.40 inference(avatar_component_clause,[],[f106906])).
% 58.08/9.40 tff(f107159,plain,(
% 58.08/9.40 spl5880_4680 | ~spl5880_6 | ~spl5880_3360 | ~spl5880_4562),
% 58.08/9.40 inference(avatar_split_clause,[],[f106017,f106014,f97687,f78473,f107157])).
% 58.08/9.40 tff(f107157,plain,(
% 58.08/9.40 spl5880_4680 <=> ! [X0 : real,X1 : real] : aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1) = iG349(real,X1,X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4680])])).
% 58.08/9.40 tff(f106014,plain,(
% 58.08/9.40 spl5880_4562 <=> ! [X0 : real,X1 : real] : powr(real,X1,X0) = aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4562])])).
% 58.08/9.40 tff(f106017,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1) = iG349(real,X1,X0)) ) | (~spl5880_6 | ~spl5880_3360 | ~spl5880_4562)),
% 58.08/9.40 inference(forward_demodulation,[],[f106015,f98488])).
% 58.08/9.40 tff(f106015,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (powr(real,X1,X0) = aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1)) ) | ~spl5880_4562),
% 58.08/9.40 inference(avatar_component_clause,[],[f106014])).
% 58.08/9.40 tff(f106909,plain,(
% 58.08/9.40 ~spl5880_4679 | spl5880_3080 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105483,f103044,f95553,f106906])).
% 58.08/9.40 tff(f105483,plain,(
% 58.08/9.40 ($true != bG323(iG271)) | (spl5880_3080 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f95555,f103045])).
% 58.08/9.40 tff(f106751,plain,(
% 58.08/9.40 spl5880_4678 | ~spl5880_1530 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105457,f103044,f86275,f106748])).
% 58.08/9.40 tff(f86275,plain,(
% 58.08/9.40 spl5880_1530 <=> sP2116(iG717($true),iG714($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1530])])).
% 58.08/9.40 tff(f105457,plain,(
% 58.08/9.40 sP2116(iG717($true),iG271) | (~spl5880_1530 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f86277,f103045])).
% 58.08/9.40 tff(f86277,plain,(
% 58.08/9.40 sP2116(iG717($true),iG714($true)) | ~spl5880_1530),
% 58.08/9.40 inference(avatar_component_clause,[],[f86275])).
% 58.08/9.40 tff(f106649,plain,(
% 58.08/9.40 spl5880_4677 | ~spl5880_1529 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105456,f103044,f86270,f106646])).
% 58.08/9.40 tff(f86270,plain,(
% 58.08/9.40 spl5880_1529 <=> sP2116(iG714($true),iG717($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1529])])).
% 58.08/9.40 tff(f105456,plain,(
% 58.08/9.40 sP2116(iG271,iG717($true)) | (~spl5880_1529 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f86272,f103045])).
% 58.08/9.40 tff(f86272,plain,(
% 58.08/9.40 sP2116(iG714($true),iG717($true)) | ~spl5880_1529),
% 58.08/9.40 inference(avatar_component_clause,[],[f86270])).
% 58.08/9.40 tff(f106610,plain,(
% 58.08/9.40 spl5880_4676 | ~spl5880_1527 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105455,f103044,f86260,f106607])).
% 58.08/9.40 tff(f86260,plain,(
% 58.08/9.40 spl5880_1527 <=> sP2115(iG717($true),iG714($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1527])])).
% 58.08/9.40 tff(f105455,plain,(
% 58.08/9.40 sP2115(iG717($true),iG271) | (~spl5880_1527 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f86262,f103045])).
% 58.08/9.40 tff(f86262,plain,(
% 58.08/9.40 sP2115(iG717($true),iG714($true)) | ~spl5880_1527),
% 58.08/9.40 inference(avatar_component_clause,[],[f86260])).
% 58.08/9.40 tff(f106599,plain,(
% 58.08/9.40 spl5880_4675 | ~spl5880_1526 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105454,f103044,f86255,f106596])).
% 58.08/9.40 tff(f86255,plain,(
% 58.08/9.40 spl5880_1526 <=> sP2115(iG714($true),iG717($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1526])])).
% 58.08/9.40 tff(f105454,plain,(
% 58.08/9.40 sP2115(iG271,iG717($true)) | (~spl5880_1526 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f86257,f103045])).
% 58.08/9.40 tff(f86257,plain,(
% 58.08/9.40 sP2115(iG714($true),iG717($true)) | ~spl5880_1526),
% 58.08/9.40 inference(avatar_component_clause,[],[f86255])).
% 58.08/9.40 tff(f106570,plain,(
% 58.08/9.40 spl5880_4674 | ~spl5880_1524 | ~spl5880_4145),
% 58.08/9.40 inference(avatar_split_clause,[],[f105453,f103044,f86247,f106568])).
% 58.08/9.40 tff(f106568,plain,(
% 58.08/9.40 spl5880_4674 <=> ! [X0 : nat] : dvd_dvd(nat,iG271,X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4674])])).
% 58.08/9.40 tff(f86247,plain,(
% 58.08/9.40 spl5880_1524 <=> ! [X0 : nat] : dvd_dvd(nat,iG714($true),X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_1524])])).
% 58.08/9.40 tff(f105453,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (dvd_dvd(nat,iG271,X0)) ) | (~spl5880_1524 | ~spl5880_4145)),
% 58.08/9.40 inference(superposition,[],[f86248,f103045])).
% 58.08/9.40 tff(f86248,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (dvd_dvd(nat,iG714($true),X0)) ) | ~spl5880_1524),
% 58.08/9.40 inference(avatar_component_clause,[],[f86247])).
% 58.08/9.40 tff(f106537,plain,(
% 58.08/9.40 spl5880_4673 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4672),
% 58.08/9.40 inference(avatar_split_clause,[],[f106533,f106529,f103044,f86300,f106535])).
% 58.08/9.40 tff(f106535,plain,(
% 58.08/9.40 spl5880_4673 <=> ! [X0 : option(product_prod(nat,nat)),X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : vEBT_Node(X0,iG271,X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG271,X1,X2),X3)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4673])])).
% 58.08/9.40 tff(f106529,plain,(
% 58.08/9.40 spl5880_4672 <=> ! [X0 : option(product_prod(nat,nat)),X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : vEBT_Node(X0,iG1228($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG1228($true),X1,X2),X3)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4672])])).
% 58.08/9.40 tff(f106533,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG271,X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG271,X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4672)),
% 58.08/9.40 inference(forward_demodulation,[],[f106532,f103045])).
% 58.08/9.40 tff(f106532,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG714($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG714($true),X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_4672)),
% 58.08/9.40 inference(forward_demodulation,[],[f106530,f86302])).
% 58.08/9.40 tff(f106530,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG1228($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG1228($true),X1,X2),X3)) ) | ~spl5880_4672),
% 58.08/9.40 inference(avatar_component_clause,[],[f106529])).
% 58.08/9.40 tff(f106531,plain,(
% 58.08/9.40 spl5880_4672),
% 58.08/9.40 inference(avatar_split_clause,[],[f76775,f106529])).
% 58.08/9.40 tff(f76775,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG1228($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG1228($true),X1,X2),X3)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f76774,f69743])).
% 58.08/9.40 tff(f76774,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,aa(nat,nat,suc,iG894($true)),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,aa(nat,nat,suc,iG894($true)),X1,X2),X3)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f62641,f67338])).
% 58.08/9.40 tff(f62641,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f26737])).
% 58.08/9.40 tff(f26737,plain,(
% 58.08/9.40 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)),
% 58.08/9.40 inference(rectify,[],[f1406])).
% 58.08/9.40 tff(f1406,axiom,(
% 58.08/9.40 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : vEBT_Node(X58,aa(nat,nat,suc,zero_zero(nat)),X159,X55) = vEBT_vebt_insert(vEBT_Node(X58,aa(nat,nat,suc,zero_zero(nat)),X159,X55),X9)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1405_vebt__insert_Osimps_I3_J)).
% 58.08/9.40 tff(f106526,plain,(
% 58.08/9.40 spl5880_4671),
% 58.08/9.40 inference(avatar_split_clause,[],[f76757,f106524])).
% 58.08/9.40 tff(f76757,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,iG894($true),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f62621,f67338])).
% 58.08/9.40 tff(f62621,plain,(
% 58.08/9.40 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (vEBT_Node(X0,zero_zero(nat),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f26717])).
% 58.08/9.40 tff(f26717,plain,(
% 58.08/9.40 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : vEBT_Node(X0,zero_zero(nat),X1,X2) = vEBT_vebt_insert(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)),
% 58.08/9.40 inference(rectify,[],[f1273])).
% 58.08/9.40 tff(f1273,axiom,(
% 58.08/9.40 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : vEBT_Node(X58,zero_zero(nat),X159,X55) = vEBT_vebt_insert(vEBT_Node(X58,zero_zero(nat),X159,X55),X9)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1272_vebt__insert_Osimps_I2_J)).
% 58.08/9.40 tff(f106521,plain,(
% 58.08/9.40 spl5880_4670),
% 58.08/9.40 inference(avatar_split_clause,[],[f76556,f106519])).
% 58.08/9.40 tff(f76556,plain,(
% 58.08/9.40 ( ! [X2 : nat] : (dvd_dvd(nat,iG894($true),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG894($true)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f76555,f69551])).
% 58.08/9.40 tff(f76555,plain,(
% 58.08/9.40 ( ! [X2 : nat,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG894($true)),X1),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),iG894($true)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f76554,f67338])).
% 58.08/9.40 tff(f76554,plain,(
% 58.08/9.40 ( ! [X2 : nat,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X1),aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X2),zero_zero(nat)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f68733,f56792])).
% 58.08/9.40 tff(f56792,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X0) = aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X0),X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25345])).
% 58.08/9.40 tff(f25345,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X0) = aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X0),X1)),
% 58.08/9.40 inference(rectify,[],[f8373])).
% 58.08/9.40 tff(f8373,axiom,(
% 58.08/9.40 ! [X105 : nat,X448 : nat] : aa(nat,nat,aTP_Lamp_tt(nat,fun(nat,nat),X105),X448) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X448),X105)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8372_ATP_Olambda__192)).
% 58.08/9.40 tff(f68733,plain,(
% 58.08/9.40 ( ! [X2 : nat,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X2))) )),
% 58.08/9.40 inference(equality_resolution,[],[f62244])).
% 58.08/9.40 tff(f62244,plain,(
% 58.08/9.40 ( ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2)) | zero_zero(nat) != X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f44531])).
% 58.08/9.40 tff(f44531,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat] : ((dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2)) | (~dvd_dvd(nat,X1,X2) & zero_zero(nat) != X0)) & (dvd_dvd(nat,X1,X2) | zero_zero(nat) = X0 | ~dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2))))),
% 58.08/9.40 inference(flattening,[],[f44530])).
% 58.08/9.40 tff(f44530,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat] : ((dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2)) | (~dvd_dvd(nat,X1,X2) & zero_zero(nat) != X0)) & ((dvd_dvd(nat,X1,X2) | zero_zero(nat) = X0) | ~dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2))))),
% 58.08/9.40 inference(nnf_transformation,[],[f26689])).
% 58.08/9.40 tff(f26689,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat,X2 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X2)) <=> (dvd_dvd(nat,X1,X2) | zero_zero(nat) = X0))),
% 58.08/9.40 inference(rectify,[],[f1898])).
% 58.08/9.40 tff(f1898,axiom,(
% 58.08/9.40 ! [X24 : nat,X15 : nat,X8 : nat] : (dvd_dvd(nat,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X24),X15),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X24),X8)) <=> (dvd_dvd(nat,X15,X8) | zero_zero(nat) = X24))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1897_nat__mult__dvd__cancel__disj)).
% 58.08/9.40 tff(f106515,plain,(
% 58.08/9.40 spl5880_4669),
% 58.08/9.40 inference(avatar_split_clause,[],[f76516,f106513])).
% 58.08/9.40 tff(f76516,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (~sP2388(X0,iG894($true),X2) | bot_bot(set(X0)) = sK5249(X0,iG894($true),X2)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f76515,f67338])).
% 58.08/9.40 tff(f76515,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK5249(X0,iG894($true),X2) | ~sP2388(X0,zero_zero(nat),X2)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f68703,f67338])).
% 58.08/9.40 tff(f68703,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK5249(X0,zero_zero(nat),X2) | ~sP2388(X0,zero_zero(nat),X2)) )),
% 58.08/9.40 inference(equality_resolution,[],[f62172])).
% 58.08/9.40 tff(f62172,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : set(X0),X1 : nat] : (bot_bot(set(X0)) = sK5249(X0,X1,X2) | zero_zero(nat) != X1 | ~sP2388(X0,X1,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f44480])).
% 58.08/9.40 tff(f106509,plain,(
% 58.08/9.40 spl5880_4668 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4667),
% 58.08/9.40 inference(avatar_split_clause,[],[f106505,f106501,f103044,f86300,f106507])).
% 58.08/9.40 tff(f106507,plain,(
% 58.08/9.40 spl5880_4668 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (iG271 = aa(X1,nat,X0,sK4292(X1,X0,X2)) | ~sP2137(X1,X0,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4668])])).
% 58.08/9.40 tff(f106501,plain,(
% 58.08/9.40 spl5880_4667 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4292(X1,X0,X2)) = iG1228($true) | ~sP2137(X1,X0,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4667])])).
% 58.08/9.40 tff(f106505,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (iG271 = aa(X1,nat,X0,sK4292(X1,X0,X2)) | ~sP2137(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4667)),
% 58.08/9.40 inference(forward_demodulation,[],[f106504,f103045])).
% 58.08/9.40 tff(f106504,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4292(X1,X0,X2)) = iG714($true) | ~sP2137(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_4667)),
% 58.08/9.40 inference(forward_demodulation,[],[f106502,f86302])).
% 58.08/9.40 tff(f106502,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4292(X1,X0,X2)) = iG1228($true) | ~sP2137(X1,X0,X2)) ) | ~spl5880_4667),
% 58.08/9.40 inference(avatar_component_clause,[],[f106501])).
% 58.08/9.40 tff(f106503,plain,(
% 58.08/9.40 spl5880_4667),
% 58.08/9.40 inference(avatar_split_clause,[],[f75198,f106501])).
% 58.08/9.40 tff(f75198,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4292(X1,X0,X2)) = iG1228($true) | ~sP2137(X1,X0,X2)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f75197,f69743])).
% 58.08/9.40 tff(f75197,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4292(X1,X0,X2)) = aa(nat,nat,suc,iG894($true)) | ~sP2137(X1,X0,X2)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f60462,f67338])).
% 58.08/9.40 tff(f60462,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK4292(X1,X0,X2)) | ~sP2137(X1,X0,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42883])).
% 58.08/9.40 tff(f42883,plain,(
% 58.08/9.40 ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP2137(X1,X0,X2) | ! [X3 : X1] : ((zero_zero(nat) != aa(X1,nat,X0,sK4291(X1,X0,X2,X3)) & sK4291(X1,X0,X2,X3) != X3 & member(X1,sK4291(X1,X0,X2,X3),X2)) | aa(nat,nat,suc,zero_zero(nat)) != aa(X1,nat,X0,X3) | ~member(X1,X3,X2))) & ((! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK4292(X1,X0,X2) = X6 | ~member(X1,X6,X2)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK4292(X1,X0,X2)) & member(X1,sK4292(X1,X0,X2),X2)) | ~sP2137(X1,X0,X2)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4291,sK4292])],[f42880,f42882,f42881])).
% 58.08/9.40 tff(f42881,plain,(
% 58.08/9.40 ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1),X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & member(X1,X4,X2)) => (zero_zero(nat) != aa(X1,nat,X0,sK4291(X1,X0,X2,X3)) & sK4291(X1,X0,X2,X3) != X3 & member(X1,sK4291(X1,X0,X2,X3),X2)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42882,plain,(
% 58.08/9.40 ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1)] : (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~member(X1,X6,X2)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,X5) & member(X1,X5,X2)) => (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK4292(X1,X0,X2) = X6 | ~member(X1,X6,X2)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK4292(X1,X0,X2)) & member(X1,sK4292(X1,X0,X2),X2)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42880,plain,(
% 58.08/9.40 ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP2137(X1,X0,X2) | ! [X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & member(X1,X4,X2)) | aa(nat,nat,suc,zero_zero(nat)) != aa(X1,nat,X0,X3) | ~member(X1,X3,X2))) & (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~member(X1,X6,X2)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,X5) & member(X1,X5,X2)) | ~sP2137(X1,X0,X2)))),
% 58.08/9.40 inference(rectify,[],[f42879])).
% 58.08/9.40 tff(f42879,plain,(
% 58.08/9.40 ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : ((sP2137(X0,X2,X1) | ! [X3 : X0] : (? [X4 : X0] : (zero_zero(nat) != aa(X0,nat,X2,X4) & X3 != X4 & member(X0,X4,X1)) | aa(nat,nat,suc,zero_zero(nat)) != aa(X0,nat,X2,X3) | ~member(X0,X3,X1))) & (? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & member(X0,X3,X1)) | ~sP2137(X0,X2,X1)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37415])).
% 58.08/9.40 tff(f37415,plain,(
% 58.08/9.40 ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : (sP2137(X0,X2,X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & member(X0,X3,X1)))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2137])])).
% 58.08/9.40 tff(f106499,plain,(
% 58.08/9.40 spl5880_4666 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4665),
% 58.08/9.40 inference(avatar_split_clause,[],[f106495,f106491,f103044,f86300,f106497])).
% 58.08/9.40 tff(f106497,plain,(
% 58.08/9.40 spl5880_4666 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (iG271 = aa(X1,nat,X0,sK4290(X1,X0,X2)) | ~sP2135(X1,X0,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4666])])).
% 58.08/9.40 tff(f106491,plain,(
% 58.08/9.40 spl5880_4665 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4290(X1,X0,X2)) = iG1228($true) | ~sP2135(X1,X0,X2))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4665])])).
% 58.08/9.40 tff(f106495,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (iG271 = aa(X1,nat,X0,sK4290(X1,X0,X2)) | ~sP2135(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4665)),
% 58.08/9.40 inference(forward_demodulation,[],[f106494,f103045])).
% 58.08/9.40 tff(f106494,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4290(X1,X0,X2)) = iG714($true) | ~sP2135(X1,X0,X2)) ) | (~spl5880_1536 | ~spl5880_4665)),
% 58.08/9.40 inference(forward_demodulation,[],[f106492,f86302])).
% 58.08/9.40 tff(f106492,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4290(X1,X0,X2)) = iG1228($true) | ~sP2135(X1,X0,X2)) ) | ~spl5880_4665),
% 58.08/9.40 inference(avatar_component_clause,[],[f106491])).
% 58.08/9.40 tff(f106493,plain,(
% 58.08/9.40 spl5880_4665),
% 58.08/9.40 inference(avatar_split_clause,[],[f75184,f106491])).
% 58.08/9.40 tff(f75184,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK4290(X1,X0,X2)) = iG1228($true) | ~sP2135(X1,X0,X2)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f60453,f67101])).
% 58.08/9.40 tff(f60453,plain,(
% 58.08/9.40 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (one_one(nat) = aa(X1,nat,X0,sK4290(X1,X0,X2)) | ~sP2135(X1,X0,X2)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f42876])).
% 58.08/9.40 tff(f42876,plain,(
% 58.08/9.40 ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP2135(X1,X0,X2) | ! [X3 : X1] : ((zero_zero(nat) != aa(X1,nat,X0,sK4289(X1,X0,X2,X3)) & sK4289(X1,X0,X2,X3) != X3 & member(X1,sK4289(X1,X0,X2,X3),X2)) | one_one(nat) != aa(X1,nat,X0,X3) | ~member(X1,X3,X2))) & ((! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK4290(X1,X0,X2) = X6 | ~member(X1,X6,X2)) & one_one(nat) = aa(X1,nat,X0,sK4290(X1,X0,X2)) & member(X1,sK4290(X1,X0,X2),X2)) | ~sP2135(X1,X0,X2)))),
% 58.08/9.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4289,sK4290])],[f42873,f42875,f42874])).
% 58.08/9.40 tff(f42874,plain,(
% 58.08/9.40 ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1),X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & member(X1,X4,X2)) => (zero_zero(nat) != aa(X1,nat,X0,sK4289(X1,X0,X2,X3)) & sK4289(X1,X0,X2,X3) != X3 & member(X1,sK4289(X1,X0,X2,X3),X2)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42875,plain,(
% 58.08/9.40 ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1)] : (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~member(X1,X6,X2)) & one_one(nat) = aa(X1,nat,X0,X5) & member(X1,X5,X2)) => (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK4290(X1,X0,X2) = X6 | ~member(X1,X6,X2)) & one_one(nat) = aa(X1,nat,X0,sK4290(X1,X0,X2)) & member(X1,sK4290(X1,X0,X2),X2)))),
% 58.08/9.40 introduced(choice_axiom,[])).
% 58.08/9.40 tff(f42873,plain,(
% 58.08/9.40 ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP2135(X1,X0,X2) | ! [X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & member(X1,X4,X2)) | one_one(nat) != aa(X1,nat,X0,X3) | ~member(X1,X3,X2))) & (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~member(X1,X6,X2)) & one_one(nat) = aa(X1,nat,X0,X5) & member(X1,X5,X2)) | ~sP2135(X1,X0,X2)))),
% 58.08/9.40 inference(rectify,[],[f42872])).
% 58.08/9.40 tff(f42872,plain,(
% 58.08/9.40 ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : ((sP2135(X0,X2,X1) | ! [X3 : X0] : (? [X4 : X0] : (zero_zero(nat) != aa(X0,nat,X2,X4) & X3 != X4 & member(X0,X4,X1)) | one_one(nat) != aa(X0,nat,X2,X3) | ~member(X0,X3,X1))) & (? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & one_one(nat) = aa(X0,nat,X2,X3) & member(X0,X3,X1)) | ~sP2135(X0,X2,X1)))),
% 58.08/9.40 inference(nnf_transformation,[],[f37412])).
% 58.08/9.40 tff(f37412,plain,(
% 58.08/9.40 ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : (sP2135(X0,X2,X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & one_one(nat) = aa(X0,nat,X2,X3) & member(X0,X3,X1)))),
% 58.08/9.40 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2135])])).
% 58.08/9.40 tff(f106487,plain,(
% 58.08/9.40 spl5880_4664),
% 58.08/9.40 inference(avatar_split_clause,[],[f74936,f106485])).
% 58.08/9.40 tff(f74936,plain,(
% 58.08/9.40 ( ! [X2 : real,X0 : real,X1 : real] : (powr(real,powr(real,X0,X1),X2) = powr(real,X0,real_V8093663219630862766scaleR(real,X1,X2))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f60083,f56742])).
% 58.08/9.40 tff(f60083,plain,(
% 58.08/9.40 ( ! [X2 : real,X0 : real,X1 : real] : (powr(real,powr(real,X0,X1),X2) = powr(real,X0,aa(real,real,aa(real,fun(real,real),times_times(real),X1),X2))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f26316])).
% 58.08/9.40 tff(f26316,plain,(
% 58.08/9.40 ! [X0 : real,X1 : real,X2 : real] : powr(real,powr(real,X0,X1),X2) = powr(real,X0,aa(real,real,aa(real,fun(real,real),times_times(real),X1),X2))),
% 58.08/9.40 inference(rectify,[],[f3529])).
% 58.08/9.40 tff(f3529,axiom,(
% 58.08/9.40 ! [X9 : real,X11 : real,X12 : real] : powr(real,powr(real,X9,X11),X12) = powr(real,X9,aa(real,real,aa(real,fun(real,real),times_times(real),X11),X12))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3528_powr__powr)).
% 58.08/9.40 tff(f106483,plain,(
% 58.08/9.40 spl5880_4663),
% 58.08/9.40 inference(avatar_split_clause,[],[f73187,f106481])).
% 58.08/9.40 tff(f106481,plain,(
% 58.08/9.40 spl5880_4663 <=> ! [X0 : int,X1 : int] : (iG867(X0,X1) = divide_divide(int,iG1564(zero_zero(int),X1),X0) | zero_zero(int) = X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4663])])).
% 58.08/9.40 tff(f73187,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (iG867(X0,X1) = divide_divide(int,iG1564(zero_zero(int),X1),X0) | zero_zero(int) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f58101,f66895])).
% 58.08/9.40 tff(f58101,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (divide_divide(int,aa(int,int,uminus_uminus(int),X1),X0) = iG867(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f33772])).
% 58.08/9.40 tff(f33772,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (divide_divide(int,aa(int,int,uminus_uminus(int),X1),X0) = iG867(X0,X1) | zero_zero(int) = X0)),
% 58.08/9.40 inference(ennf_transformation,[],[f15436])).
% 58.08/9.40 tff(f15436,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => divide_divide(int,aa(int,int,uminus_uminus(int),X1),X0) = iG867(X0,X1))),
% 58.08/9.40 inference(fool_elimination,[],[f15434,f15435])).
% 58.08/9.40 tff(f15435,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG867(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)) = iG867(X0,X1))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG867])])).
% 58.08/9.40 tff(f15434,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => divide_divide(int,aa(int,int,uminus_uminus(int),X1),X0) = $ite(zero_zero(int) = modulo_modulo(int,X1,X0), aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int))))),
% 58.08/9.40 inference(rectify,[],[f2559])).
% 58.08/9.40 tff(f2559,axiom,(
% 58.08/9.40 ! [X12 : int,X11 : int] : (zero_zero(int) != X12 => divide_divide(int,aa(int,int,uminus_uminus(int),X11),X12) = $ite(zero_zero(int) = modulo_modulo(int,X11,X12), aa(int,int,uminus_uminus(int),divide_divide(int,X11,X12)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X11,X12))),one_one(int))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2558_zdiv__zminus1__eq__if)).
% 58.08/9.40 tff(f106479,plain,(
% 58.08/9.40 spl5880_4662),
% 58.08/9.40 inference(avatar_split_clause,[],[f73186,f106477])).
% 58.08/9.40 tff(f106477,plain,(
% 58.08/9.40 spl5880_4662 <=> ! [X0 : int,X1 : int] : (iG866(X0,X1) = divide_divide(int,X1,iG1564(zero_zero(int),X0)) | zero_zero(int) = X0)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4662])])).
% 58.08/9.40 tff(f73186,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (iG866(X0,X1) = divide_divide(int,X1,iG1564(zero_zero(int),X0)) | zero_zero(int) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f58100,f66895])).
% 58.08/9.40 tff(f58100,plain,(
% 58.08/9.40 ( ! [X0 : int,X1 : int] : (divide_divide(int,X1,aa(int,int,uminus_uminus(int),X0)) = iG866(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f33771])).
% 58.08/9.40 tff(f33771,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (divide_divide(int,X1,aa(int,int,uminus_uminus(int),X0)) = iG866(X0,X1) | zero_zero(int) = X0)),
% 58.08/9.40 inference(ennf_transformation,[],[f15433])).
% 58.08/9.40 tff(f15433,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => divide_divide(int,X1,aa(int,int,uminus_uminus(int),X0)) = iG866(X0,X1))),
% 58.08/9.40 inference(fool_elimination,[],[f15431,f15432])).
% 58.08/9.40 tff(f15432,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG866(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)) = iG866(X0,X1))),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG866])])).
% 58.08/9.40 tff(f15431,plain,(
% 58.08/9.40 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => divide_divide(int,X1,aa(int,int,uminus_uminus(int),X0)) = $ite(zero_zero(int) = modulo_modulo(int,X1,X0), aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int))))),
% 58.08/9.40 inference(rectify,[],[f2560])).
% 58.08/9.40 tff(f2560,axiom,(
% 58.08/9.40 ! [X12 : int,X11 : int] : (zero_zero(int) != X12 => divide_divide(int,X11,aa(int,int,uminus_uminus(int),X12)) = $ite(zero_zero(int) = modulo_modulo(int,X11,X12), aa(int,int,uminus_uminus(int),divide_divide(int,X11,X12)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X11,X12))),one_one(int))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2559_zdiv__zminus2__eq__if)).
% 58.08/9.40 tff(f106471,plain,(
% 58.08/9.40 spl5880_4661 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4660),
% 58.08/9.40 inference(avatar_split_clause,[],[f106465,f106461,f103044,f86300,f106469])).
% 58.08/9.40 tff(f106469,plain,(
% 58.08/9.40 spl5880_4661 <=> ! [X0 : $o,X1 : $o] : aa(nat,nat,suc,iG271) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG271)),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4661])])).
% 58.08/9.40 tff(f106461,plain,(
% 58.08/9.40 spl5880_4660 <=> ! [X0 : $o,X1 : $o] : aa(nat,nat,suc,iG1228($true)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG1228($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4660])])).
% 58.08/9.40 tff(f106465,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG271) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG271)) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4660)),
% 58.08/9.40 inference(forward_demodulation,[],[f106464,f103045])).
% 58.08/9.40 tff(f106464,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG714($true)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_4660)),
% 58.08/9.40 inference(forward_demodulation,[],[f106462,f86302])).
% 58.08/9.40 tff(f106462,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG1228($true)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG1228($true))) ) | ~spl5880_4660),
% 58.08/9.40 inference(avatar_component_clause,[],[f106461])).
% 58.08/9.40 tff(f106463,plain,(
% 58.08/9.40 spl5880_4660),
% 58.08/9.40 inference(avatar_split_clause,[],[f72945,f106461])).
% 58.08/9.40 tff(f72945,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG1228($true)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG1228($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72944,f69945])).
% 58.08/9.40 tff(f69945,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG1228($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50366,f67101])).
% 58.08/9.40 tff(f50366,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22893])).
% 58.08/9.40 tff(f22893,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))),
% 58.08/9.40 inference(rectify,[],[f538])).
% 58.08/9.40 tff(f538,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,nat,suc,X8) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X8),one_one(nat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_537_Suc__eq__plus1)).
% 58.08/9.40 tff(f72944,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)),iG1228($true)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG1228($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72943,f67101])).
% 58.08/9.40 tff(f72943,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),iG1228($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72942,f69743])).
% 58.08/9.40 tff(f72942,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f57245,f67338])).
% 58.08/9.40 tff(f57245,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14834])).
% 58.08/9.40 tff(f14834,plain,(
% 58.08/9.40 ! [X0 : $o,X1 : $o] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_p_r_e_d(vEBT_Leaf(bG736(X0),bG737(X1)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.40 inference(fool_elimination,[],[f14831,f14833,f14832])).
% 58.08/9.40 tff(f14832,plain,(
% 58.08/9.40 ! [X0 : $o] : (($true = X0) <=> ($true = bG736(X0)))),
% 58.08/9.40 introduced(fool_formula_definition,[new_symbols(definition,[bG736])])).
% 58.08/9.40 tff(f14833,plain,(
% 58.08/9.40 ! [X1 : $o] : (($true = X1) <=> ($true = bG737(X1)))),
% 58.08/9.40 introduced(fool_formula_definition,[new_symbols(definition,[bG737])])).
% 58.08/9.40 tff(f14831,plain,(
% 58.08/9.40 ! [X0 : $o,X1 : $o] : vEBT_T_p_r_e_d(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 58.08/9.40 inference(rectify,[],[f1055])).
% 58.08/9.40 tff(f1055,axiom,(
% 58.08/9.40 ! [X11 : $o,X110 : $o] : vEBT_T_p_r_e_d(vEBT_Leaf(X11,X110),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1054_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_Osimps_I2_J)).
% 58.08/9.40 tff(f106454,plain,(
% 58.08/9.40 spl5880_4659 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4658),
% 58.08/9.40 inference(avatar_split_clause,[],[f106450,f106445,f103044,f86336,f86300,f106452])).
% 58.08/9.40 tff(f106452,plain,(
% 58.08/9.40 spl5880_4659 <=> ! [X0 : $o,X1 : $o] : aa(nat,nat,suc,iG271) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG717($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4659])])).
% 58.08/9.40 tff(f106445,plain,(
% 58.08/9.40 spl5880_4658 <=> ! [X0 : $o,X1 : $o] : aa(nat,nat,suc,iG1228($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG894($true))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4658])])).
% 58.08/9.40 tff(f106450,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG271) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4145 | ~spl5880_4658)),
% 58.08/9.40 inference(forward_demodulation,[],[f106449,f103045])).
% 58.08/9.40 tff(f106449,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG714($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4658)),
% 58.08/9.40 inference(forward_demodulation,[],[f106448,f86302])).
% 58.08/9.40 tff(f106448,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG1228($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_4658)),
% 58.08/9.40 inference(forward_demodulation,[],[f106446,f86338])).
% 58.08/9.40 tff(f106446,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG1228($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG894($true))) ) | ~spl5880_4658),
% 58.08/9.40 inference(avatar_component_clause,[],[f106445])).
% 58.08/9.40 tff(f106447,plain,(
% 58.08/9.40 spl5880_4658),
% 58.08/9.40 inference(avatar_split_clause,[],[f72934,f106445])).
% 58.08/9.40 tff(f72934,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,suc,iG1228($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG894($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72933,f69945])).
% 58.08/9.40 tff(f72933,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)),iG1228($true)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG894($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72932,f67101])).
% 58.08/9.40 tff(f72932,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),iG894($true))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f57241,f67338])).
% 58.08/9.40 tff(f57241,plain,(
% 58.08/9.40 ( ! [X0 : $o,X1 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),zero_zero(nat))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14818])).
% 58.08/9.40 tff(f14818,plain,(
% 58.08/9.40 ! [X0 : $o,X1 : $o] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = vEBT_T_s_u_c_c(vEBT_Leaf(bG728(X0),bG729(X1)),zero_zero(nat))),
% 58.08/9.40 inference(fool_elimination,[],[f14815,f14817,f14816])).
% 58.08/9.40 tff(f14816,plain,(
% 58.08/9.40 ! [X0 : $o] : (($true = X0) <=> ($true = bG728(X0)))),
% 58.08/9.40 introduced(fool_formula_definition,[new_symbols(definition,[bG728])])).
% 58.08/9.40 tff(f14817,plain,(
% 58.08/9.40 ! [X1 : $o] : (($true = X1) <=> ($true = bG729(X1)))),
% 58.08/9.40 introduced(fool_formula_definition,[new_symbols(definition,[bG729])])).
% 58.08/9.40 tff(f14815,plain,(
% 58.08/9.40 ! [X0 : $o,X1 : $o] : vEBT_T_s_u_c_c(vEBT_Leaf(X0,X1),zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 58.08/9.40 inference(rectify,[],[f1051])).
% 58.08/9.40 tff(f1051,axiom,(
% 58.08/9.40 ! [X105 : $o,X12 : $o] : vEBT_T_s_u_c_c(vEBT_Leaf(X105,X12),zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1050_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_Osimps_I1_J)).
% 58.08/9.40 tff(f106443,plain,(
% 58.08/9.40 spl5880_4657),
% 58.08/9.40 inference(avatar_split_clause,[],[f72344,f106441])).
% 58.08/9.40 tff(f106441,plain,(
% 58.08/9.40 spl5880_4657 <=> ! [X0 : real,X1 : real] : divide_divide(real,X1,X0) = divide_divide(real,real_V8093663219630862766scaleR(real,X0,X1),real_V8093663219630862766scaleR(real,X0,X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4657])])).
% 58.08/9.40 tff(f72344,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (divide_divide(real,X1,X0) = divide_divide(real,real_V8093663219630862766scaleR(real,X0,X1),real_V8093663219630862766scaleR(real,X0,X0))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72343,f56742])).
% 58.08/9.40 tff(f72343,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (divide_divide(real,X1,X0) = divide_divide(real,aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1),real_V8093663219630862766scaleR(real,X0,X0))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56912,f56742])).
% 58.08/9.40 tff(f56912,plain,(
% 58.08/9.40 ( ! [X0 : real,X1 : real] : (divide_divide(real,aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1),aa(real,real,aa(real,fun(real,real),times_times(real),X0),X0)) = divide_divide(real,X1,X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25465])).
% 58.08/9.40 tff(f25465,plain,(
% 58.08/9.40 ! [X0 : real,X1 : real] : divide_divide(real,aa(real,real,aa(real,fun(real,real),times_times(real),X0),X1),aa(real,real,aa(real,fun(real,real),times_times(real),X0),X0)) = divide_divide(real,X1,X0)),
% 58.08/9.40 inference(rectify,[],[f484])).
% 58.08/9.40 tff(f484,axiom,(
% 58.08/9.40 ! [X92 : real,X11 : real] : divide_divide(real,aa(real,real,aa(real,fun(real,real),times_times(real),X92),X11),aa(real,real,aa(real,fun(real,real),times_times(real),X92),X92)) = divide_divide(real,X11,X92)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_483_real__divide__square__eq)).
% 58.08/9.40 tff(f106438,plain,(
% 58.08/9.40 spl5880_4656),
% 58.08/9.40 inference(avatar_split_clause,[],[f72203,f106436])).
% 58.08/9.40 tff(f72203,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),iG894($true)),X0))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56638,f67338])).
% 58.08/9.40 tff(f56638,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),zero_zero(nat)),X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14461])).
% 58.08/9.40 tff(f14461,plain,(
% 58.08/9.40 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),zero_zero(nat)),X0))),
% 58.08/9.40 inference(fool_elimination,[],[f14460])).
% 58.08/9.40 tff(f14460,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),zero_zero(nat)),X0)),
% 58.08/9.40 inference(rectify,[],[f1117])).
% 58.08/9.40 tff(f1117,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),zero_zero(nat)),X8)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1116_less__eq__nat_Osimps_I1_J)).
% 58.08/9.40 tff(f106434,plain,(
% 58.08/9.40 spl5880_4655),
% 58.08/9.40 inference(avatar_split_clause,[],[f72202,f106432])).
% 58.08/9.40 tff(f106432,plain,(
% 58.08/9.40 spl5880_4655 <=> ! [X0 : extended_enat] : ($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),bot_bot(extended_enat)),X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4655])])).
% 58.08/9.40 tff(f72202,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),bot_bot(extended_enat)),X0))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56637,f50006])).
% 58.08/9.40 tff(f56637,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),zero_zero(extended_enat)),X0))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14459])).
% 58.08/9.40 tff(f14459,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : ($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),zero_zero(extended_enat)),X0))),
% 58.08/9.40 inference(fool_elimination,[],[f14458])).
% 58.08/9.40 tff(f14458,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),zero_zero(extended_enat)),X0)),
% 58.08/9.40 inference(rectify,[],[f1589])).
% 58.08/9.40 tff(f1589,axiom,(
% 58.08/9.40 ! [X8 : extended_enat] : aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less_eq(extended_enat),zero_zero(extended_enat)),X8)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1588_i0__lb)).
% 58.08/9.40 tff(f106428,plain,(
% 58.08/9.40 spl5880_4654),
% 58.08/9.40 inference(avatar_split_clause,[],[f72189,f106426])).
% 58.08/9.40 tff(f106426,plain,(
% 58.08/9.40 spl5880_4654 <=> ! [X0 : num] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG296(aa(num,code_integer,code_positive,X0))))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4654])])).
% 58.08/9.40 tff(f72189,plain,(
% 58.08/9.40 ( ! [X0 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG296(aa(num,code_integer,code_positive,X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72188,f69743])).
% 58.08/9.40 tff(f72188,plain,(
% 58.08/9.40 ( ! [X0 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,iG894($true))),iG296(aa(num,code_integer,code_positive,X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72187,f67338])).
% 58.08/9.40 tff(f72187,plain,(
% 58.08/9.40 ( ! [X0 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),iG296(aa(num,code_integer,code_positive,X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f72186,f65842])).
% 58.08/9.40 tff(f72186,plain,(
% 58.08/9.40 ( ! [X0 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),lG696(aa(num,code_integer,code_positive,X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56615,f69903])).
% 58.08/9.40 tff(f56615,plain,(
% 58.08/9.40 ( ! [X0 : num] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25244])).
% 58.08/9.40 tff(f25244,plain,(
% 58.08/9.40 ! [X0 : num] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0)))),
% 58.08/9.40 inference(flattening,[],[f14439])).
% 58.08/9.40 tff(f14439,plain,(
% 58.08/9.40 ! [X0 : num] : ~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0)))),
% 58.08/9.40 inference(fool_elimination,[],[f14438])).
% 58.08/9.40 tff(f14438,plain,(
% 58.08/9.40 ! [X0 : num] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0))),
% 58.08/9.40 inference(rectify,[],[f4650])).
% 58.08/9.40 tff(f4650,axiom,(
% 58.08/9.40 ! [X8 : num] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X8))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4649_not__bit__Suc__0__numeral)).
% 58.08/9.40 tff(f106423,plain,(
% 58.08/9.40 spl5880_4653),
% 58.08/9.40 inference(avatar_split_clause,[],[f72180,f106421])).
% 58.08/9.40 tff(f72180,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),iG894($true)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56605,f67338])).
% 58.08/9.40 tff(f56605,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),zero_zero(nat)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25234])).
% 58.08/9.40 tff(f25234,plain,(
% 58.08/9.40 ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),zero_zero(nat)))),
% 58.08/9.40 inference(flattening,[],[f14419])).
% 58.08/9.40 tff(f14419,plain,(
% 58.08/9.40 ! [X0 : nat] : ~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),zero_zero(nat)))),
% 58.08/9.40 inference(fool_elimination,[],[f14418])).
% 58.08/9.40 tff(f14418,plain,(
% 58.08/9.40 ! [X0 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),zero_zero(nat))),
% 58.08/9.40 inference(rectify,[],[f1107])).
% 58.08/9.40 tff(f1107,axiom,(
% 58.08/9.40 ! [X8 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),zero_zero(nat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1106_not__less0)).
% 58.08/9.40 tff(f106419,plain,(
% 58.08/9.40 spl5880_4652),
% 58.08/9.40 inference(avatar_split_clause,[],[f72179,f106417])).
% 58.08/9.40 tff(f106417,plain,(
% 58.08/9.40 spl5880_4652 <=> ! [X0 : extended_enat] : ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),bot_bot(extended_enat)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4652])])).
% 58.08/9.40 tff(f72179,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),bot_bot(extended_enat)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56604,f50006])).
% 58.08/9.40 tff(f56604,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),zero_zero(extended_enat)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f25233])).
% 58.08/9.40 tff(f25233,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),zero_zero(extended_enat)))),
% 58.08/9.40 inference(flattening,[],[f14417])).
% 58.08/9.40 tff(f14417,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : ~($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),zero_zero(extended_enat)))),
% 58.08/9.40 inference(fool_elimination,[],[f14416])).
% 58.08/9.40 tff(f14416,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : ~aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X0),zero_zero(extended_enat))),
% 58.08/9.40 inference(rectify,[],[f1586])).
% 58.08/9.40 tff(f1586,axiom,(
% 58.08/9.40 ! [X8 : extended_enat] : ~aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X8),zero_zero(extended_enat))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1585_not__iless0)).
% 58.08/9.40 tff(f106412,plain,(
% 58.08/9.40 spl5880_4651),
% 58.08/9.40 inference(avatar_split_clause,[],[f71486,f106410])).
% 58.08/9.40 tff(f71486,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),iG894($true)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f56079,f67338])).
% 58.08/9.40 tff(f56079,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f32808])).
% 58.08/9.40 tff(f32808,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.40 inference(flattening,[],[f32807])).
% 58.08/9.40 tff(f32807,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | (~semidom_divide(X0) | ~semiring_char_0(X0)))),
% 58.08/9.40 inference(ennf_transformation,[],[f25159])).
% 58.08/9.40 tff(f25159,plain,(
% 58.08/9.40 ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)))),
% 58.08/9.40 inference(rectify,[],[f4037])).
% 58.08/9.40 tff(f4037,axiom,(
% 58.08/9.40 ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X11 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X11),zero_zero(nat)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4036_gbinomial__0_I1_J)).
% 58.08/9.40 tff(f106408,plain,(
% 58.08/9.40 spl5880_4650),
% 58.08/9.40 inference(avatar_split_clause,[],[f70328,f106406])).
% 58.08/9.40 tff(f106406,plain,(
% 58.08/9.40 spl5880_4650 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,cos(real,pi),X1) | ~real_V4867850818363320053vector(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4650])])).
% 58.08/9.40 tff(f70328,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,cos(real,pi),X1) | ~real_V4867850818363320053vector(X0)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f70327,f69747])).
% 58.08/9.40 tff(f70327,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),im(imaginary_unit)),X1) | ~real_V4867850818363320053vector(X0)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50893,f50004])).
% 58.08/9.40 tff(f50893,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1) | ~real_V4867850818363320053vector(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f28332])).
% 58.08/9.40 tff(f28332,plain,(
% 58.08/9.40 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1) | ~real_V4867850818363320053vector(X0))),
% 58.08/9.40 inference(ennf_transformation,[],[f23194])).
% 58.08/9.40 tff(f23194,plain,(
% 58.08/9.40 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1))),
% 58.08/9.40 inference(rectify,[],[f4039])).
% 58.08/9.40 tff(f4039,axiom,(
% 58.08/9.40 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X9 : X0] : aa(X0,X0,uminus_uminus(X0),X9) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X9))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4038_scaleR__minus1__left)).
% 58.08/9.40 tff(f106404,plain,(
% 58.08/9.40 spl5880_4649),
% 58.08/9.40 inference(avatar_split_clause,[],[f70322,f106402])).
% 58.08/9.40 tff(f106402,plain,(
% 58.08/9.40 spl5880_4649 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,one_one(X0),one_one(X0)) | one_one(X0) != gcd_gcd(X0,X1,X2) | ~semiring_gcd(X0))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4649])])).
% 58.08/9.40 tff(f70322,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,one_one(X0),one_one(X0)) | one_one(X0) != gcd_gcd(X0,X1,X2) | ~semiring_gcd(X0)) )),
% 58.08/9.40 inference(inner_rewriting,[],[f50807])).
% 58.08/9.40 tff(f50807,plain,(
% 58.08/9.40 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,gcd_gcd(X0,X1,X2),one_one(X0)) | one_one(X0) != gcd_gcd(X0,X1,X2) | ~semiring_gcd(X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f38751])).
% 58.08/9.40 tff(f106400,plain,(
% 58.08/9.40 spl5880_4648),
% 58.08/9.40 inference(avatar_split_clause,[],[f70065,f106398])).
% 58.08/9.40 tff(f106398,plain,(
% 58.08/9.40 spl5880_4648 <=> ! [X0 : num] : aa(num,rat,numeral_numeral(rat),X0) = frct(quotient_of(of_int(aa(num,int,code_Target_positive,X0))))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4648])])).
% 58.08/9.40 tff(f70065,plain,(
% 58.08/9.40 ( ! [X0 : num] : (aa(num,rat,numeral_numeral(rat),X0) = frct(quotient_of(of_int(aa(num,int,code_Target_positive,X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f70064,f50021])).
% 58.08/9.40 tff(f70064,plain,(
% 58.08/9.40 ( ! [X0 : num] : (aa(num,rat,numeral_numeral(rat),X0) = frct(quotient_of(of_int(aa(num,int,numeral_numeral(int),X0))))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50483,f50418])).
% 58.08/9.40 tff(f50483,plain,(
% 58.08/9.40 ( ! [X0 : num] : (aa(num,rat,numeral_numeral(rat),X0) = frct(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X0)),one_one(int)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f23008])).
% 58.08/9.40 tff(f23008,plain,(
% 58.08/9.40 ! [X0 : num] : aa(num,rat,numeral_numeral(rat),X0) = frct(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X0)),one_one(int)))),
% 58.08/9.40 inference(rectify,[],[f5561])).
% 58.08/9.40 tff(f5561,axiom,(
% 58.08/9.40 ! [X24 : num] : aa(num,rat,numeral_numeral(rat),X24) = frct(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(num,int,numeral_numeral(int),X24)),one_one(int)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5560_Frct__code__post_I4_J)).
% 58.08/9.40 tff(f106396,plain,(
% 58.08/9.40 spl5880_4647),
% 58.08/9.40 inference(avatar_split_clause,[],[f69951,f106394])).
% 58.08/9.40 tff(f106394,plain,(
% 58.08/9.40 spl5880_4647 <=> ! [X0 : real] : member(real,aa(real,real,tanh(real),X0),set_or5935395276787703475ssThan(real,cos(real,pi),im(imaginary_unit)))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4647])])).
% 58.08/9.40 tff(f69951,plain,(
% 58.08/9.40 ( ! [X0 : real] : (member(real,aa(real,real,tanh(real),X0),set_or5935395276787703475ssThan(real,cos(real,pi),im(imaginary_unit)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f69950,f69747])).
% 58.08/9.40 tff(f69950,plain,(
% 58.08/9.40 ( ! [X0 : real] : (member(real,aa(real,real,tanh(real),X0),set_or5935395276787703475ssThan(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),im(imaginary_unit)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50371,f50004])).
% 58.08/9.40 tff(f50371,plain,(
% 58.08/9.40 ( ! [X0 : real] : (member(real,aa(real,real,tanh(real),X0),set_or5935395276787703475ssThan(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22898])).
% 58.08/9.40 tff(f22898,plain,(
% 58.08/9.40 ! [X0 : real] : member(real,aa(real,real,tanh(real),X0),set_or5935395276787703475ssThan(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)))),
% 58.08/9.40 inference(rectify,[],[f5762])).
% 58.08/9.40 tff(f5762,axiom,(
% 58.08/9.40 ! [X9 : real] : member(real,aa(real,real,tanh(real),X9),set_or5935395276787703475ssThan(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5761_tanh__real__bounds)).
% 58.08/9.40 tff(f106391,plain,(
% 58.08/9.40 spl5880_4646),
% 58.08/9.40 inference(avatar_split_clause,[],[f69939,f106389])).
% 58.08/9.40 tff(f69939,plain,(
% 58.08/9.40 ( ! [X0 : num] : (iG894($true) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f69938,f67338])).
% 58.08/9.40 tff(f69938,plain,(
% 58.08/9.40 ( ! [X0 : num] : (zero_zero(nat) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,code_Target_positive,X0)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f69937,f50021])).
% 58.08/9.40 tff(f69937,plain,(
% 58.08/9.40 ( ! [X0 : num] : (zero_zero(nat) = aa(int,nat,nat2,iG1564(zero_zero(int),aa(num,int,numeral_numeral(int),X0)))) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50355,f66895])).
% 58.08/9.40 tff(f50355,plain,(
% 58.08/9.40 ( ! [X0 : num] : (zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22882])).
% 58.08/9.40 tff(f22882,plain,(
% 58.08/9.40 ! [X0 : num] : zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))),
% 58.08/9.40 inference(rectify,[],[f4587])).
% 58.08/9.40 tff(f4587,axiom,(
% 58.08/9.40 ! [X24 : num] : zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X24)))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4586_nat__neg__numeral)).
% 58.08/9.40 tff(f106387,plain,(
% 58.08/9.40 spl5880_4645 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4644),
% 58.08/9.40 inference(avatar_split_clause,[],[f106383,f106379,f103044,f86300,f106385])).
% 58.08/9.40 tff(f106385,plain,(
% 58.08/9.40 spl5880_4645 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG271),X0) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4645])])).
% 58.08/9.40 tff(f106379,plain,(
% 58.08/9.40 spl5880_4644 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG1228($true)),X0) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4644])])).
% 58.08/9.40 tff(f106383,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG271),X0) = X0) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4644)),
% 58.08/9.40 inference(forward_demodulation,[],[f106382,f103045])).
% 58.08/9.40 tff(f106382,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG714($true)),X0) = X0) ) | (~spl5880_1536 | ~spl5880_4644)),
% 58.08/9.40 inference(forward_demodulation,[],[f106380,f86302])).
% 58.08/9.40 tff(f106380,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG1228($true)),X0) = X0) ) | ~spl5880_4644),
% 58.08/9.40 inference(avatar_component_clause,[],[f106379])).
% 58.08/9.40 tff(f106381,plain,(
% 58.08/9.40 spl5880_4644),
% 58.08/9.40 inference(avatar_split_clause,[],[f69916,f106379])).
% 58.08/9.40 tff(f69916,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),iG1228($true)),X0) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50322,f67101])).
% 58.08/9.40 tff(f50322,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X0) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22850])).
% 58.08/9.40 tff(f22850,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X0) = X0),
% 58.08/9.40 inference(rectify,[],[f523])).
% 58.08/9.40 tff(f523,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X8) = X8),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_522_nat__mult__1)).
% 58.08/9.40 tff(f106376,plain,(
% 58.08/9.40 spl5880_4643),
% 58.08/9.40 inference(avatar_split_clause,[],[f69913,f106374])).
% 58.08/9.40 tff(f69913,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),iG894($true)),X0) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50319,f67338])).
% 58.08/9.40 tff(f50319,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X0) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22847])).
% 58.08/9.40 tff(f22847,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X0) = X0),
% 58.08/9.40 inference(rectify,[],[f906])).
% 58.08/9.40 tff(f906,axiom,(
% 58.08/9.40 ! [X11 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X11) = X11),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_905_max__nat_Oleft__neutral)).
% 58.08/9.40 tff(f106370,plain,(
% 58.08/9.40 spl5880_4642 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4641),
% 58.08/9.40 inference(avatar_split_clause,[],[f106366,f106362,f103044,f86300,f106368])).
% 58.08/9.40 tff(f106368,plain,(
% 58.08/9.40 spl5880_4642 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG271) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4642])])).
% 58.08/9.40 tff(f106362,plain,(
% 58.08/9.40 spl5880_4641 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG1228($true)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4641])])).
% 58.08/9.40 tff(f106366,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG271) = X0) ) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4641)),
% 58.08/9.40 inference(forward_demodulation,[],[f106365,f103045])).
% 58.08/9.40 tff(f106365,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG714($true)) = X0) ) | (~spl5880_1536 | ~spl5880_4641)),
% 58.08/9.40 inference(forward_demodulation,[],[f106363,f86302])).
% 58.08/9.40 tff(f106363,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG1228($true)) = X0) ) | ~spl5880_4641),
% 58.08/9.40 inference(avatar_component_clause,[],[f106362])).
% 58.08/9.40 tff(f106364,plain,(
% 58.08/9.40 spl5880_4641),
% 58.08/9.40 inference(avatar_split_clause,[],[f69912,f106362])).
% 58.08/9.40 tff(f69912,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),iG1228($true)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50318,f67101])).
% 58.08/9.40 tff(f50318,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),one_one(nat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22846])).
% 58.08/9.40 tff(f22846,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),one_one(nat)) = X0),
% 58.08/9.40 inference(rectify,[],[f522])).
% 58.08/9.40 tff(f522,axiom,(
% 58.08/9.40 ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),one_one(nat)) = X8),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_521_nat__mult__1__right)).
% 58.08/9.40 tff(f106359,plain,(
% 58.08/9.40 spl5880_4640),
% 58.08/9.40 inference(avatar_split_clause,[],[f69911,f106357])).
% 58.08/9.40 tff(f69911,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),iG894($true)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50317,f67338])).
% 58.08/9.40 tff(f50317,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),zero_zero(nat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22845])).
% 58.08/9.40 tff(f22845,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),zero_zero(nat)) = X0),
% 58.08/9.40 inference(rectify,[],[f886])).
% 58.08/9.40 tff(f886,axiom,(
% 58.08/9.40 ! [X15 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),zero_zero(nat)) = X15),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_885_Nat_Oadd__0__right)).
% 58.08/9.40 tff(f106354,plain,(
% 58.08/9.40 spl5880_4639),
% 58.08/9.40 inference(avatar_split_clause,[],[f69910,f106352])).
% 58.08/9.40 tff(f69910,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),iG894($true)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50316,f67338])).
% 58.08/9.40 tff(f50316,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),zero_zero(nat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22844])).
% 58.08/9.40 tff(f22844,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),zero_zero(nat)) = X0),
% 58.08/9.40 inference(rectify,[],[f1121])).
% 58.08/9.40 tff(f1121,axiom,(
% 58.08/9.40 ! [X15 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),zero_zero(nat)) = X15),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1120_minus__nat_Odiff__0)).
% 58.08/9.40 tff(f106349,plain,(
% 58.08/9.40 spl5880_4638),
% 58.08/9.40 inference(avatar_split_clause,[],[f69908,f106347])).
% 58.08/9.40 tff(f69908,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),iG894($true)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50314,f67338])).
% 58.08/9.40 tff(f50314,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),zero_zero(nat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22842])).
% 58.08/9.40 tff(f22842,plain,(
% 58.08/9.40 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),zero_zero(nat)) = X0),
% 58.08/9.40 inference(rectify,[],[f904])).
% 58.08/9.40 tff(f904,axiom,(
% 58.08/9.40 ! [X11 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X11),zero_zero(nat)) = X11),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_903_max__nat_Oright__neutral)).
% 58.08/9.40 tff(f106345,plain,(
% 58.08/9.40 spl5880_4637),
% 58.08/9.40 inference(avatar_split_clause,[],[f69907,f106343])).
% 58.08/9.40 tff(f106343,plain,(
% 58.08/9.40 spl5880_4637 <=> ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),bot_bot(extended_enat)),X0) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4637])])).
% 58.08/9.40 tff(f69907,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),bot_bot(extended_enat)),X0) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50307,f50006])).
% 58.08/9.40 tff(f50307,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),zero_zero(extended_enat)),X0) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22835])).
% 58.08/9.40 tff(f22835,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),zero_zero(extended_enat)),X0) = X0),
% 58.08/9.40 inference(rectify,[],[f1688])).
% 58.08/9.40 tff(f1688,axiom,(
% 58.08/9.40 ! [X32 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),zero_zero(extended_enat)),X32) = X32),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1687_max__enat__simps_I3_J)).
% 58.08/9.40 tff(f106341,plain,(
% 58.08/9.40 spl5880_4636),
% 58.08/9.40 inference(avatar_split_clause,[],[f69906,f106339])).
% 58.08/9.40 tff(f106339,plain,(
% 58.08/9.40 spl5880_4636 <=> ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),bot_bot(extended_enat)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4636])])).
% 58.08/9.40 tff(f69906,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),bot_bot(extended_enat)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50306,f50006])).
% 58.08/9.40 tff(f50306,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),zero_zero(extended_enat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22834])).
% 58.08/9.40 tff(f22834,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),zero_zero(extended_enat)) = X0),
% 58.08/9.40 inference(rectify,[],[f1571])).
% 58.08/9.40 tff(f1571,axiom,(
% 58.08/9.40 ! [X8 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X8),zero_zero(extended_enat)) = X8),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1570_idiff__0__right)).
% 58.08/9.40 tff(f106337,plain,(
% 58.08/9.40 spl5880_4635),
% 58.08/9.40 inference(avatar_split_clause,[],[f69905,f106335])).
% 58.08/9.40 tff(f106335,plain,(
% 58.08/9.40 spl5880_4635 <=> ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),X0),bot_bot(extended_enat)) = X0),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4635])])).
% 58.08/9.40 tff(f69905,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),X0),bot_bot(extended_enat)) = X0) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50305,f50006])).
% 58.08/9.40 tff(f50305,plain,(
% 58.08/9.40 ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),X0),zero_zero(extended_enat)) = X0) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22833])).
% 58.08/9.40 tff(f22833,plain,(
% 58.08/9.40 ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),X0),zero_zero(extended_enat)) = X0),
% 58.08/9.40 inference(rectify,[],[f1687])).
% 58.08/9.40 tff(f1687,axiom,(
% 58.08/9.40 ! [X32 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),ord_max(extended_enat),X32),zero_zero(extended_enat)) = X32),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1686_max__enat__simps_I2_J)).
% 58.08/9.40 tff(f106332,plain,(
% 58.08/9.40 spl5880_4634),
% 58.08/9.40 inference(avatar_split_clause,[],[f69904,f106330])).
% 58.08/9.40 tff(f69904,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0) = iG894($true)) )),
% 58.08/9.40 inference(forward_demodulation,[],[f50299,f67338])).
% 58.08/9.40 tff(f50299,plain,(
% 58.08/9.40 ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f22828])).
% 58.08/9.40 tff(f22828,plain,(
% 58.08/9.40 ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)),
% 58.08/9.40 inference(rectify,[],[f895])).
% 58.08/9.40 tff(f895,axiom,(
% 58.08/9.40 ! [X15 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),X15)),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_894_diff__self__eq__0)).
% 58.08/9.40 tff(f106326,plain,(
% 58.08/9.40 spl5880_4633),
% 58.08/9.40 inference(avatar_split_clause,[],[f69824,f106323])).
% 58.08/9.40 tff(f106323,plain,(
% 58.08/9.40 spl5880_4633 <=> filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,iG303(imaginary_unit),set_ord_lessThan(real,iG303(imaginary_unit))))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4633])])).
% 58.08/9.40 tff(f69824,plain,(
% 58.08/9.40 filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,iG303(imaginary_unit),set_ord_lessThan(real,iG303(imaginary_unit))))),
% 58.08/9.40 inference(forward_demodulation,[],[f50137,f65754])).
% 58.08/9.40 tff(f50137,plain,(
% 58.08/9.40 filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
% 58.08/9.40 inference(cnf_transformation,[],[f6447])).
% 58.08/9.40 tff(f6447,axiom,(
% 58.08/9.40 filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6446_filterlim__tan__at__left)).
% 58.08/9.40 tff(f106321,plain,(
% 58.08/9.40 spl5880_4632),
% 58.08/9.40 inference(avatar_split_clause,[],[f69816,f106318])).
% 58.08/9.40 tff(f106318,plain,(
% 58.08/9.40 spl5880_4632 <=> aa(real,real,uminus_uminus(real),iG303(imaginary_unit)) = aa(real,real,arcsin,cos(real,pi))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4632])])).
% 58.08/9.40 tff(f106315,plain,(
% 58.08/9.40 spl5880_4631),
% 58.08/9.40 inference(avatar_split_clause,[],[f69802,f106312])).
% 58.08/9.40 tff(f69802,plain,(
% 58.08/9.40 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),iG303(imaginary_unit))),at_bot(real))),
% 58.08/9.40 inference(forward_demodulation,[],[f50116,f65754])).
% 58.08/9.40 tff(f50116,plain,(
% 58.08/9.40 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real))),
% 58.08/9.40 inference(cnf_transformation,[],[f6424])).
% 58.08/9.40 tff(f6424,axiom,(
% 58.08/9.40 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6423_tendsto__arctan__at__bot)).
% 58.08/9.40 tff(f106310,plain,(
% 58.08/9.40 spl5880_4630),
% 58.08/9.40 inference(avatar_split_clause,[],[f69762,f106307])).
% 58.08/9.40 tff(f106307,plain,(
% 58.08/9.40 spl5880_4630 <=> filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,im(imaginary_unit),set_ord_lessThan(real,im(imaginary_unit))))),
% 58.08/9.40 introduced(avatar_definition,[new_symbols(naming,[spl5880_4630])])).
% 58.08/9.40 tff(f69762,plain,(
% 58.08/9.40 filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,im(imaginary_unit),set_ord_lessThan(real,im(imaginary_unit))))),
% 58.08/9.40 inference(forward_demodulation,[],[f50070,f50004])).
% 58.08/9.40 tff(f50070,plain,(
% 58.08/9.40 filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 58.08/9.40 inference(cnf_transformation,[],[f6437])).
% 58.08/9.40 tff(f6437,axiom,(
% 58.08/9.40 filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6436_artanh__real__at__left__1)).
% 58.08/9.40 tff(f106304,plain,(
% 58.08/9.40 spl5880_4629),
% 58.08/9.40 inference(avatar_split_clause,[],[f69564,f106302])).
% 58.08/9.40 tff(f69564,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),iG894($true)),X3) = X3) )),
% 58.08/9.40 inference(forward_demodulation,[],[f67486,f67338])).
% 58.08/9.40 tff(f67486,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),zero_zero(nat)),X3) = X3) )),
% 58.08/9.40 inference(equality_resolution,[],[f65609])).
% 58.08/9.40 tff(f65609,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X2),X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.40 inference(definition_unfolding,[],[f48395,f57213])).
% 58.08/9.40 tff(f57213,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = iG680(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14713])).
% 58.08/9.40 tff(f14713,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = iG680(X0,X1)),
% 58.08/9.40 inference(fool_elimination,[],[f14710,f14712,f14711])).
% 58.08/9.40 tff(f14711,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG679(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG679(X1,X0) = X0)),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG679])])).
% 58.08/9.40 tff(f14712,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG679(X1,X0) = iG680(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG680(X0,X1) = X1)),
% 58.08/9.40 introduced(fool_ite_definition,[new_symbols(definition,[iG680])])).
% 58.08/9.40 tff(f14710,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = $ite(zero_zero(nat) = X0, X1,$ite(zero_zero(nat) = X1, X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 58.08/9.40 inference(rectify,[],[f4961])).
% 58.08/9.40 tff(f4961,axiom,(
% 58.08/9.40 ! [X15 : nat,X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X15),X8) = $ite(zero_zero(nat) = X15, X8,$ite(zero_zero(nat) = X8, X15,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,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 58.08/9.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4960_xor__nat__unfold)).
% 58.08/9.40 tff(f48395,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat] : (iG680(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.40 inference(cnf_transformation,[],[f27865])).
% 58.08/9.40 tff(f27865,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (iG679(X1,X0) = iG680(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG680(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.08/9.40 inference(ennf_transformation,[],[f22093])).
% 58.08/9.40 tff(f22093,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => iG679(X1,X0) = iG680(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG680(X2,X3) = X3)),
% 58.08/9.40 inference(flattening,[],[f22092])).
% 58.08/9.40 tff(f22092,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG679(X1,X0) = iG680(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG680(X2,X3) = X3)),
% 58.08/9.40 inference(rectify,[],[f14712])).
% 58.08/9.40 tff(f106299,plain,(
% 58.08/9.40 spl5880_4628),
% 58.08/9.40 inference(avatar_split_clause,[],[f69560,f106297])).
% 58.08/9.40 tff(f69560,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),iG894($true)),X3) = X3) )),
% 58.08/9.40 inference(forward_demodulation,[],[f67484,f67338])).
% 58.08/9.40 tff(f67484,plain,(
% 58.08/9.40 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),zero_zero(nat)),X3) = X3) )),
% 58.08/9.40 inference(equality_resolution,[],[f65607])).
% 58.08/9.40 tff(f65607,plain,(
% 58.08/9.40 ( ! [X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X2),X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.40 inference(definition_unfolding,[],[f48387,f57215])).
% 58.08/9.40 tff(f57215,plain,(
% 58.08/9.40 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = iG683(X0,X1)) )),
% 58.08/9.40 inference(cnf_transformation,[],[f14720])).
% 58.08/9.40 tff(f14720,plain,(
% 58.08/9.40 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = iG683(X0,X1)),
% 58.08/9.40 inference(fool_elimination,[],[f14717,f14719,f14718])).
% 58.08/9.40 tff(f14718,plain,(
% 58.08/9.40 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG682(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG682(X1,X0) = X0)),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG682])])).
% 58.08/9.41 tff(f14719,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG682(X1,X0) = iG683(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG683(X0,X1) = X1)),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG683])])).
% 58.08/9.41 tff(f14717,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = $ite(zero_zero(nat) = X0, X1,$ite(zero_zero(nat) = X1, X0,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 58.08/9.41 inference(rectify,[],[f4826])).
% 58.08/9.41 tff(f4826,axiom,(
% 58.08/9.41 ! [X15 : nat,X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X15),X8) = $ite(zero_zero(nat) = X15, X8,$ite(zero_zero(nat) = X8, X15,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,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X15,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4825_or__nat__unfold)).
% 58.08/9.41 tff(f48387,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat] : (iG683(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27863])).
% 58.08/9.41 tff(f27863,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (iG682(X1,X0) = iG683(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG683(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.08/9.41 inference(ennf_transformation,[],[f22088])).
% 58.08/9.41 tff(f22088,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => iG682(X1,X0) = iG683(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG683(X2,X3) = X3)),
% 58.08/9.41 inference(flattening,[],[f22087])).
% 58.08/9.41 tff(f22087,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG682(X1,X0) = iG683(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG683(X2,X3) = X3)),
% 58.08/9.41 inference(rectify,[],[f14719])).
% 58.08/9.41 tff(f106294,plain,(
% 58.08/9.41 spl5880_4627),
% 58.08/9.41 inference(avatar_split_clause,[],[f69554,f106292])).
% 58.08/9.41 tff(f69554,plain,(
% 58.08/9.41 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG894($true)),X3) = X3) )),
% 58.08/9.41 inference(forward_demodulation,[],[f67481,f67338])).
% 58.08/9.41 tff(f67481,plain,(
% 58.08/9.41 ( ! [X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X3) = X3) )),
% 58.08/9.41 inference(equality_resolution,[],[f65602])).
% 58.08/9.41 tff(f65602,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.41 inference(definition_unfolding,[],[f48376,f57219])).
% 58.08/9.41 tff(f57219,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) = iG687(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f14732])).
% 58.08/9.41 tff(f14732,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) = iG687(X0,X1)),
% 58.08/9.41 inference(fool_elimination,[],[f14730,f14731])).
% 58.08/9.41 tff(f14731,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG687(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG687(X0,X1) = X1)),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG687])])).
% 58.08/9.41 tff(f14730,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) = $ite(zero_zero(nat) = X0, X1,aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)))),
% 58.08/9.41 inference(rectify,[],[f1454])).
% 58.08/9.41 tff(f1454,axiom,(
% 58.08/9.41 ! [X15 : nat,X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X8) = $ite(zero_zero(nat) = X15, X8,aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),one_one(nat))),X8)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1453_add__eq__if)).
% 58.08/9.41 tff(f48376,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat] : (iG687(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27860])).
% 58.08/9.41 tff(f27860,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG687(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG687(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.08/9.41 inference(ennf_transformation,[],[f22083])).
% 58.08/9.41 tff(f22083,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG687(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG687(X2,X3) = X3)),
% 58.08/9.41 inference(flattening,[],[f22082])).
% 58.08/9.41 tff(f22082,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG687(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG687(X2,X3) = X3)),
% 58.08/9.41 inference(rectify,[],[f14731])).
% 58.08/9.41 tff(f106290,plain,(
% 58.08/9.41 spl5880_4626),
% 58.08/9.41 inference(avatar_split_clause,[],[f69043,f106288])).
% 58.08/9.41 tff(f106288,plain,(
% 58.08/9.41 spl5880_4626 <=> ! [X1 : $tType,X3 : $tType,X4 : fun(X3,$o),X5 : X3,X2 : fun(X1,X3)] : (($true = aa(X3,$o,X4,X5)) | ~sP2500(X1,X3,none(X1),X2,X4,X5))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4626])])).
% 58.08/9.41 tff(f69043,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X4 : fun(X3,$o),X5 : X3] : (($true = aa(X3,$o,X4,X5)) | ~sP2500(X1,X3,none(X1),X2,X4,X5)) )),
% 58.08/9.41 inference(equality_resolution,[],[f64534])).
% 58.08/9.41 tff(f64534,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X0 : option(X1),X4 : fun(X3,$o),X5 : X3] : (($true = aa(X3,$o,X4,X5)) | none(X1) != X0 | ~sP2500(X1,X3,X0,X2,X4,X5)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45921])).
% 58.08/9.41 tff(f45921,plain,(
% 58.08/9.41 ! [X0 : option(X1),X1 : $tType,X2 : fun(X1,X3),X3 : $tType,X4 : fun(X3,$o),X5 : X3] : ((sP2500(X1,X3,X0,X2,X4,X5) | (($true != aa(X3,$o,X4,aa(X1,X3,X2,aa(option(X1),X1,the2(X1),X0)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X0)) = X0) | (($true != aa(X3,$o,X4,X5)) & none(X1) = X0)) & (((($true = aa(X3,$o,X4,aa(X1,X3,X2,aa(option(X1),X1,the2(X1),X0)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X0)) != X0) & (($true = aa(X3,$o,X4,X5)) | none(X1) != X0)) | ~sP2500(X1,X3,X0,X2,X4,X5)))),
% 58.08/9.41 inference(rectify,[],[f45920])).
% 58.08/9.41 tff(f45920,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : ((sP2500(X1,X0,X5,X4,X2,X3) | (($true != aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) = X5) | (($true != aa(X0,$o,X2,X3)) & none(X1) = X5)) & (((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)) | ~sP2500(X1,X0,X5,X4,X2,X3)))),
% 58.08/9.41 inference(flattening,[],[f45919])).
% 58.08/9.41 tff(f45919,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : ((sP2500(X1,X0,X5,X4,X2,X3) | ((($true != aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) = X5) | (($true != aa(X0,$o,X2,X3)) & none(X1) = X5))) & (((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)) | ~sP2500(X1,X0,X5,X4,X2,X3)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37929])).
% 58.08/9.41 tff(f37929,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : (sP2500(X1,X0,X5,X4,X2,X3) <=> ((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2500])])).
% 58.08/9.41 tff(f106286,plain,(
% 58.08/9.41 spl5880_4625),
% 58.08/9.41 inference(avatar_split_clause,[],[f69042,f106284])).
% 58.08/9.41 tff(f106284,plain,(
% 58.08/9.41 spl5880_4625 <=> ! [X1 : $tType,X3 : $tType,X4 : fun(X3,$o),X5 : X3,X2 : fun(X1,X3)] : (($true = aa(X3,$o,X4,X5)) | ~sP2499(X1,X3,none(X1),X2,X4,X5))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4625])])).
% 58.08/9.41 tff(f69042,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X4 : fun(X3,$o),X5 : X3] : (($true = aa(X3,$o,X4,X5)) | ~sP2499(X1,X3,none(X1),X2,X4,X5)) )),
% 58.08/9.41 inference(equality_resolution,[],[f64526])).
% 58.08/9.41 tff(f64526,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X0 : option(X1),X4 : fun(X3,$o),X5 : X3] : (($true = aa(X3,$o,X4,X5)) | none(X1) != X0 | ~sP2499(X1,X3,X0,X2,X4,X5)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45917])).
% 58.08/9.41 tff(f45917,plain,(
% 58.08/9.41 ! [X0 : option(X1),X1 : $tType,X2 : fun(X1,X3),X3 : $tType,X4 : fun(X3,$o),X5 : X3] : ((sP2499(X1,X3,X0,X2,X4,X5) | (($true != aa(X3,$o,X4,aa(X1,X3,X2,aa(option(X1),X1,the2(X1),X0)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X0)) = X0) | (($true != aa(X3,$o,X4,X5)) & none(X1) = X0)) & (((($true = aa(X3,$o,X4,aa(X1,X3,X2,aa(option(X1),X1,the2(X1),X0)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X0)) != X0) & (($true = aa(X3,$o,X4,X5)) | none(X1) != X0)) | ~sP2499(X1,X3,X0,X2,X4,X5)))),
% 58.08/9.41 inference(rectify,[],[f45916])).
% 58.08/9.41 tff(f45916,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : ((sP2499(X1,X0,X5,X4,X2,X3) | (($true != aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) = X5) | (($true != aa(X0,$o,X2,X3)) & none(X1) = X5)) & (((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)) | ~sP2499(X1,X0,X5,X4,X2,X3)))),
% 58.08/9.41 inference(flattening,[],[f45915])).
% 58.08/9.41 tff(f45915,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : ((sP2499(X1,X0,X5,X4,X2,X3) | ((($true != aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) & aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) = X5) | (($true != aa(X0,$o,X2,X3)) & none(X1) = X5))) & (((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)) | ~sP2499(X1,X0,X5,X4,X2,X3)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37927])).
% 58.08/9.41 tff(f37927,plain,(
% 58.08/9.41 ! [X5 : option(X1),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X0,$o),X3 : X0] : (sP2499(X1,X0,X5,X4,X2,X3) <=> ((($true = aa(X0,$o,X2,aa(X1,X0,X4,aa(option(X1),X1,the2(X1),X5)))) | aa(X1,option(X1),some(X1),aa(option(X1),X1,the2(X1),X5)) != X5) & (($true = aa(X0,$o,X2,X3)) | none(X1) != X5)))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2499])])).
% 58.08/9.41 tff(f106282,plain,(
% 58.08/9.41 spl5880_4624),
% 58.08/9.41 inference(avatar_split_clause,[],[f68695,f106280])).
% 58.08/9.41 tff(f106280,plain,(
% 58.08/9.41 spl5880_4624 <=> ! [X1 : $tType,X0 : $tType] : map_of(X1,X0,nil(product_prod(X1,X0))) = aTP_Lamp_abl(X1,option(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4624])])).
% 58.08/9.41 tff(f68695,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X0 : $tType] : (map_of(X1,X0,nil(product_prod(X1,X0))) = aTP_Lamp_abl(X1,option(X0))) )),
% 58.08/9.41 inference(equality_resolution,[],[f62159])).
% 58.08/9.41 tff(f62159,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X0 : $tType,X2 : list(product_prod(X1,X0))] : (aTP_Lamp_abl(X1,option(X0)) = map_of(X1,X0,X2) | nil(product_prod(X1,X0)) != X2) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44470])).
% 58.08/9.41 tff(f44470,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : list(product_prod(X1,X0))] : ((aTP_Lamp_abl(X1,option(X0)) = map_of(X1,X0,X2) | nil(product_prod(X1,X0)) != X2) & (nil(product_prod(X1,X0)) = X2 | aTP_Lamp_abl(X1,option(X0)) != map_of(X1,X0,X2)))),
% 58.08/9.41 inference(nnf_transformation,[],[f26664])).
% 58.08/9.41 tff(f26664,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : list(product_prod(X1,X0))] : (aTP_Lamp_abl(X1,option(X0)) = map_of(X1,X0,X2) <=> nil(product_prod(X1,X0)) = X2)),
% 58.08/9.41 inference(rectify,[],[f7879])).
% 58.08/9.41 tff(f7879,axiom,(
% 58.08/9.41 ! [X1 : $tType,X0 : $tType,X429 : list(product_prod(X0,X1))] : (aTP_Lamp_abl(X0,option(X1)) = map_of(X0,X1,X429) <=> nil(product_prod(X0,X1)) = X429)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7878_empty__eq__map__of__iff)).
% 58.08/9.41 tff(f106276,plain,(
% 58.08/9.41 spl5880_4623),
% 58.08/9.41 inference(avatar_split_clause,[],[f68332,f106274])).
% 58.08/9.41 tff(f106274,plain,(
% 58.08/9.41 spl5880_4623 <=> ! [X0 : set(nat)] : bij_betw(nat,nat,suc,X0,aa(set(nat),set(nat),image(nat,nat,suc),X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4623])])).
% 58.08/9.41 tff(f68332,plain,(
% 58.08/9.41 ( ! [X0 : set(nat)] : (bij_betw(nat,nat,suc,X0,aa(set(nat),set(nat),image(nat,nat,suc),X0))) )),
% 58.08/9.41 inference(equality_resolution,[],[f59429])).
% 58.08/9.41 tff(f59429,plain,(
% 58.08/9.41 ( ! [X0 : set(nat),X1 : set(nat)] : (bij_betw(nat,nat,suc,X0,X1) | aa(set(nat),set(nat),image(nat,nat,suc),X0) != X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42411])).
% 58.08/9.41 tff(f42411,plain,(
% 58.08/9.41 ! [X0 : set(nat),X1 : set(nat)] : ((bij_betw(nat,nat,suc,X0,X1) | aa(set(nat),set(nat),image(nat,nat,suc),X0) != X1) & (aa(set(nat),set(nat),image(nat,nat,suc),X0) = X1 | ~bij_betw(nat,nat,suc,X0,X1)))),
% 58.08/9.41 inference(nnf_transformation,[],[f26207])).
% 58.08/9.41 tff(f26207,plain,(
% 58.08/9.41 ! [X0 : set(nat),X1 : set(nat)] : (bij_betw(nat,nat,suc,X0,X1) <=> aa(set(nat),set(nat),image(nat,nat,suc),X0) = X1)),
% 58.08/9.41 inference(rectify,[],[f4911])).
% 58.08/9.41 tff(f4911,axiom,(
% 58.08/9.41 ! [X206 : set(nat),X95 : set(nat)] : (bij_betw(nat,nat,suc,X206,X95) <=> aa(set(nat),set(nat),image(nat,nat,suc),X206) = X95)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4910_bij__betw__Suc)).
% 58.08/9.41 tff(f106272,plain,(
% 58.08/9.41 spl5880_4622),
% 58.08/9.41 inference(avatar_split_clause,[],[f67824,f106270])).
% 58.08/9.41 tff(f106270,plain,(
% 58.08/9.41 spl5880_4622 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (iG444(X0,X3,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)),X2) | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4622])])).
% 58.08/9.41 tff(f67824,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (iG444(X0,X3,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)),X2) | ~division_ring(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52696])).
% 58.08/9.41 tff(f52696,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (iG444(X0,X3,X1,X2) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) != X1 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39330])).
% 58.08/9.41 tff(f106268,plain,(
% 58.08/9.41 spl5880_4621),
% 58.08/9.41 inference(avatar_split_clause,[],[f67823,f106266])).
% 58.08/9.41 tff(f106266,plain,(
% 58.08/9.41 spl5880_4621 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (iG443(X0,X2,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)),X1) | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4621])])).
% 58.08/9.41 tff(f67823,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (iG443(X0,X2,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)),X1) | ~division_ring(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52694])).
% 58.08/9.41 tff(f52694,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (iG443(X0,X2,X3,X1) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) != X3 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39329])).
% 58.08/9.41 tff(f106264,plain,(
% 58.08/9.41 spl5880_4620),
% 58.08/9.41 inference(avatar_split_clause,[],[f67822,f106262])).
% 58.08/9.41 tff(f106262,plain,(
% 58.08/9.41 spl5880_4620 <=> ! [X0 : $tType,X2 : X0,X3 : num] : (iG442(X0,X3,divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)),X2) | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4620])])).
% 58.08/9.41 tff(f67822,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X3 : num] : (iG442(X0,X3,divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)),X2) | ~division_ring(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52692])).
% 58.08/9.41 tff(f52692,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (iG442(X0,X3,X1,X2) | divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) != X1 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39328])).
% 58.08/9.41 tff(f106260,plain,(
% 58.08/9.41 spl5880_4619),
% 58.08/9.41 inference(avatar_split_clause,[],[f67821,f106258])).
% 58.08/9.41 tff(f106258,plain,(
% 58.08/9.41 spl5880_4619 <=> ! [X0 : $tType,X2 : num,X1 : X0] : (iG441(X0,X2,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)),X1) | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4619])])).
% 58.08/9.41 tff(f67821,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : num,X1 : X0] : (iG441(X0,X2,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)),X1) | ~division_ring(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52690])).
% 58.08/9.41 tff(f52690,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (iG441(X0,X2,X3,X1) | divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) != X3 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39327])).
% 58.08/9.41 tff(f106256,plain,(
% 58.08/9.41 spl5880_4618),
% 58.08/9.41 inference(avatar_split_clause,[],[f67800,f106254])).
% 58.08/9.41 tff(f106254,plain,(
% 58.08/9.41 spl5880_4618 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4618])])).
% 58.08/9.41 tff(f67800,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52470])).
% 58.08/9.41 tff(f52470,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39304])).
% 58.08/9.41 tff(f39304,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) | aa(X0,X0,uminus_uminus(X0),X2) != X1 | zero_zero(X0) = X2) & ((aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2) | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.41 inference(flattening,[],[f39303])).
% 58.08/9.41 tff(f39303,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) | (aa(X0,X0,uminus_uminus(X0),X2) != X1 | zero_zero(X0) = X2)) & ((aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2) | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f29638])).
% 58.08/9.41 tff(f29638,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) <=> (aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2)) | ~field(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23840])).
% 58.08/9.41 tff(f23840,plain,(
% 58.08/9.41 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) <=> (aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2)))),
% 58.08/9.41 inference(rectify,[],[f2513])).
% 58.08/9.41 tff(f2513,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X12 : X0] : (divide_divide(X0,X11,X12) = aa(X0,X0,uminus_uminus(X0),one_one(X0)) <=> (aa(X0,X0,uminus_uminus(X0),X12) = X11 & zero_zero(X0) != X12)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2512_divide__eq__minus__1__iff)).
% 58.08/9.41 tff(f106252,plain,(
% 58.08/9.41 spl5880_4617),
% 58.08/9.41 inference(avatar_split_clause,[],[f67790,f106250])).
% 58.08/9.41 tff(f106250,plain,(
% 58.08/9.41 spl5880_4617 <=> ! [X0 : $tType] : (~inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),zero_zero(X0)),top_top(set(X0))) | ~field(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4617])])).
% 58.08/9.41 tff(f67790,plain,(
% 58.08/9.41 ( ! [X0 : $tType] : (~inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),zero_zero(X0)),top_top(set(X0))) | ~field(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52443])).
% 58.08/9.41 tff(f52443,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 | ~inj_on(X0,X0,aTP_Lamp_zz(X0,fun(X0,X0),X1),top_top(set(X0))) | ~field(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39294])).
% 58.08/9.41 tff(f106248,plain,(
% 58.08/9.41 spl5880_4616),
% 58.08/9.41 inference(avatar_split_clause,[],[f67773,f106246])).
% 58.08/9.41 tff(f106246,plain,(
% 58.08/9.41 spl5880_4616 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4616])])).
% 58.08/9.41 tff(f67773,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f52291])).
% 58.08/9.41 tff(f52291,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X2,X1) | zero_zero(X0) != X2 | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39252])).
% 58.08/9.41 tff(f106244,plain,(
% 58.08/9.41 spl5880_4615),
% 58.08/9.41 inference(avatar_split_clause,[],[f67656,f106242])).
% 58.08/9.41 tff(f106242,plain,(
% 58.08/9.41 spl5880_4615 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG439(X1,zero_zero(X1),X2,X3))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4615])])).
% 58.08/9.41 tff(f67656,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG439(X1,zero_zero(X1),X2,X3)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48908])).
% 58.08/9.41 tff(f48908,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG439(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38651])).
% 58.08/9.41 tff(f38651,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG439(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG439(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG439(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG439(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.08/9.41 inference(nnf_transformation,[],[f28003])).
% 58.08/9.41 tff(f28003,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG439(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG439(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7) | zero_zero(X5) = X4)),
% 58.08/9.41 inference(ennf_transformation,[],[f22451])).
% 58.08/9.41 tff(f22451,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG439(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG439(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 58.08/9.41 inference(flattening,[],[f22450])).
% 58.08/9.41 tff(f22450,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG439(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG439(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 58.08/9.41 inference(rectify,[],[f11301])).
% 58.08/9.41 tff(f106240,plain,(
% 58.08/9.41 spl5880_4614),
% 58.08/9.41 inference(avatar_split_clause,[],[f67655,f106238])).
% 58.08/9.41 tff(f106238,plain,(
% 58.08/9.41 spl5880_4614 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (iG439(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4614])])).
% 58.08/9.41 tff(f67655,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG439(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48909])).
% 58.08/9.41 tff(f48909,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG439(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | zero_zero(X1) != X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38651])).
% 58.08/9.41 tff(f106234,plain,(
% 58.08/9.41 spl5880_4613),
% 58.08/9.41 inference(avatar_split_clause,[],[f67653,f106232])).
% 58.08/9.41 tff(f106232,plain,(
% 58.08/9.41 spl5880_4613 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG440(X1,zero_zero(X1),X2,X3))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4613])])).
% 58.08/9.41 tff(f67653,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG440(X1,zero_zero(X1),X2,X3)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48904])).
% 58.08/9.41 tff(f48904,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG440(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38650])).
% 58.08/9.41 tff(f38650,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG440(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG440(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG440(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG440(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.08/9.41 inference(nnf_transformation,[],[f28002])).
% 58.08/9.41 tff(f28002,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG440(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG440(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7) | zero_zero(X5) = X4)),
% 58.08/9.41 inference(ennf_transformation,[],[f22449])).
% 58.08/9.41 tff(f22449,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG440(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG440(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 58.08/9.41 inference(flattening,[],[f22448])).
% 58.08/9.41 tff(f22448,plain,(
% 58.08/9.41 ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG440(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG440(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 58.08/9.41 inference(rectify,[],[f11304])).
% 58.08/9.41 tff(f106230,plain,(
% 58.08/9.41 spl5880_4612),
% 58.08/9.41 inference(avatar_split_clause,[],[f67652,f106228])).
% 58.08/9.41 tff(f106228,plain,(
% 58.08/9.41 spl5880_4612 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (iG440(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4612])])).
% 58.08/9.41 tff(f67652,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG440(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48905])).
% 58.08/9.41 tff(f48905,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG440(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | zero_zero(X1) != X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38650])).
% 58.08/9.41 tff(f106226,plain,(
% 58.08/9.41 spl5880_4611),
% 58.08/9.41 inference(avatar_split_clause,[],[f67650,f106224])).
% 58.08/9.41 tff(f106224,plain,(
% 58.08/9.41 spl5880_4611 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (iG441(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4611])])).
% 58.08/9.41 tff(f67650,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG441(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48901])).
% 58.08/9.41 tff(f48901,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG441(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38649])).
% 58.08/9.41 tff(f106222,plain,(
% 58.08/9.41 spl5880_4610),
% 58.08/9.41 inference(avatar_split_clause,[],[f67648,f106220])).
% 58.08/9.41 tff(f106220,plain,(
% 58.08/9.41 spl5880_4610 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (iG442(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4610])])).
% 58.08/9.41 tff(f67648,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG442(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 58.08/9.41 inference(equality_resolution,[],[f48897])).
% 58.08/9.41 tff(f48897,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG442(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38648])).
% 58.08/9.41 tff(f106218,plain,(
% 58.08/9.41 spl5880_4609),
% 58.08/9.41 inference(avatar_split_clause,[],[f66809,f106216])).
% 58.08/9.41 tff(f106216,plain,(
% 58.08/9.41 spl5880_4609 <=> ! [X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X9 : nat,X13 : nat,X12 : nat,X8 : nat] : iG1828(X9,X10,X11,X12,X13) = iG1829(X8,X8,X9,X10,X11,X12,X13)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4609])])).
% 58.08/9.41 tff(f66809,plain,(
% 58.08/9.41 ( ! [X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X8 : nat,X9 : nat,X12 : nat,X13 : nat] : (iG1828(X9,X10,X11,X12,X13) = iG1829(X8,X8,X9,X10,X11,X12,X13)) )),
% 58.08/9.41 inference(equality_resolution,[],[f46129])).
% 58.08/9.41 tff(f46129,plain,(
% 58.08/9.41 ( ! [X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X8 : nat,X9 : nat,X7 : nat,X12 : nat,X13 : nat] : (iG1828(X9,X10,X11,X12,X13) = iG1829(X7,X8,X9,X10,X11,X12,X13) | X7 != X8) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27314])).
% 58.08/9.41 tff(f27314,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat,X6 : nat] : (iG1829(X0,X1,X2,X3,X4,X5,X6) = X0 | X0 = X1) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X12 : nat,X13 : nat] : (iG1828(X9,X10,X11,X12,X13) = iG1829(X7,X8,X9,X10,X11,X12,X13) | X7 != X8)),
% 58.08/9.41 inference(ennf_transformation,[],[f20505])).
% 58.08/9.41 tff(f20505,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat,X6 : nat] : (X0 != X1 => iG1829(X0,X1,X2,X3,X4,X5,X6) = X0) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X12 : nat,X13 : nat] : (X7 = X8 => iG1828(X9,X10,X11,X12,X13) = iG1829(X7,X8,X9,X10,X11,X12,X13))),
% 58.08/9.41 inference(flattening,[],[f20504])).
% 58.08/9.41 tff(f20504,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat,X6 : nat] : (~X0 = X1 => iG1829(X0,X1,X2,X3,X4,X5,X6) = X0) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : vEBT_VEBT,X11 : list(vEBT_VEBT),X12 : nat,X13 : nat] : (X7 = X8 => iG1828(X9,X10,X11,X12,X13) = iG1829(X7,X8,X9,X10,X11,X12,X13))),
% 58.08/9.41 inference(rectify,[],[f20401])).
% 58.08/9.41 tff(f20401,plain,(
% 58.08/9.41 ! [X2 : nat,X1 : nat,X4 : nat,X9 : vEBT_VEBT,X8 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~X1 = X2 => iG1829(X2,X1,X4,X9,X8,X3,X0) = X2) & ! [X2 : nat,X1 : nat,X4 : nat,X9 : vEBT_VEBT,X8 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (X1 = X2 => iG1828(X4,X9,X8,X3,X0) = iG1829(X2,X1,X4,X9,X8,X3,X0))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1829])])).
% 58.08/9.41 tff(f106214,plain,(
% 58.08/9.41 spl5880_4608),
% 58.08/9.41 inference(avatar_split_clause,[],[f66427,f106212])).
% 58.08/9.41 tff(f106212,plain,(
% 58.08/9.41 spl5880_4608 <=> ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : aa(nat,X0,X2,X3) = iG1545(X0,aa(nat,nat,suc,X3),X2,X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4608])])).
% 58.08/9.41 tff(f66427,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : nat,X1 : X0] : (aa(nat,X0,X2,X3) = iG1545(X0,aa(nat,nat,suc,X3),X2,X1)) )),
% 58.08/9.41 inference(definition_unfolding,[],[f62622,f62782])).
% 58.08/9.41 tff(f62622,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : nat,X1 : X0] : (aa(nat,X0,X2,X3) = case_nat(X0,X1,X2,aa(nat,nat,suc,X3))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f26718])).
% 58.08/9.41 tff(f26718,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0),X3 : nat] : aa(nat,X0,X2,X3) = case_nat(X0,X1,X2,aa(nat,nat,suc,X3))),
% 58.08/9.41 inference(rectify,[],[f5493])).
% 58.08/9.41 tff(f5493,axiom,(
% 58.08/9.41 ! [X0 : $tType,X230 : X0,X293 : fun(nat,X0),X38 : nat] : case_nat(X0,X230,X293,aa(nat,nat,suc,X38)) = aa(nat,X0,X293,X38)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5492_old_Onat_Osimps_I5_J)).
% 58.08/9.41 tff(f106210,plain,(
% 58.08/9.41 spl5880_4607),
% 58.08/9.41 inference(avatar_split_clause,[],[f66173,f106208])).
% 58.08/9.41 tff(f106208,plain,(
% 58.08/9.41 spl5880_4607 <=> ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 | ($true != iG1579($o,X0,X1,aTP_Lamp_abr(X0,$o),$true)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4607])])).
% 58.08/9.41 tff(f66173,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 | ($true != iG1579($o,X0,X1,aTP_Lamp_abr(X0,$o),$true))) )),
% 58.08/9.41 inference(definition_unfolding,[],[f59400,f63657])).
% 58.08/9.41 tff(f59400,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 | ($true != case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X1))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42393])).
% 58.08/9.41 tff(f42393,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : ((none(X0) = X1 | ($true != case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X1))) & (($true = case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X1)) | none(X0) != X1))),
% 58.08/9.41 inference(nnf_transformation,[],[f16591])).
% 58.08/9.41 tff(f16591,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 <=> ($true = case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f16590])).
% 58.08/9.41 tff(f16590,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : (none(X0) = X1 <=> case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X1))),
% 58.08/9.41 inference(rectify,[],[f7357])).
% 58.08/9.41 tff(f7357,axiom,(
% 58.08/9.41 ! [X0 : $tType,X97 : option(X0)] : (none(X0) = X97 <=> case_option($o,X0,$true,aTP_Lamp_abr(X0,$o),X97))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7356_option_Odisc__eq__case_I1_J)).
% 58.08/9.41 tff(f106206,plain,(
% 58.08/9.41 spl5880_4606),
% 58.08/9.41 inference(avatar_split_clause,[],[f66172,f106204])).
% 58.08/9.41 tff(f106204,plain,(
% 58.08/9.41 spl5880_4606 <=> ! [X0 : $tType,X1 : option(X0)] : (($true = iG1579($o,X0,X1,aTP_Lamp_abs(X0,$o),$false)) | none(X0) = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4606])])).
% 58.08/9.41 tff(f66172,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : option(X0)] : (($true = iG1579($o,X0,X1,aTP_Lamp_abs(X0,$o),$false)) | none(X0) = X1) )),
% 58.08/9.41 inference(definition_unfolding,[],[f59397,f63657])).
% 58.08/9.41 tff(f59397,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : option(X0)] : (($true = case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X1)) | none(X0) = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42392])).
% 58.08/9.41 tff(f42392,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : ((none(X0) != X1 | ($true != case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X1))) & (($true = case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X1)) | none(X0) = X1))),
% 58.08/9.41 inference(nnf_transformation,[],[f16589])).
% 58.08/9.41 tff(f16589,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : (none(X0) != X1 <=> ($true = case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f16588])).
% 58.08/9.41 tff(f16588,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : option(X0)] : (none(X0) != X1 <=> case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X1))),
% 58.08/9.41 inference(rectify,[],[f7358])).
% 58.08/9.41 tff(f7358,axiom,(
% 58.08/9.41 ! [X0 : $tType,X97 : option(X0)] : (none(X0) != X97 <=> case_option($o,X0,$false,aTP_Lamp_abs(X0,$o),X97))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7357_option_Odisc__eq__case_I2_J)).
% 58.08/9.41 tff(f106202,plain,(
% 58.08/9.41 spl5880_4605),
% 58.08/9.41 inference(avatar_split_clause,[],[f66106,f106200])).
% 58.08/9.41 tff(f106200,plain,(
% 58.08/9.41 spl5880_4605 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (finite_finite(nat,aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4605])])).
% 58.08/9.41 tff(f66106,plain,(
% 58.08/9.41 ( ! [X0 : vEBT_VEBT,X1 : nat] : (finite_finite(nat,aa(fun(nat,$o),set(nat),collect(nat),vEBT_vebt_member(X0))) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.41 inference(definition_unfolding,[],[f58019,f50284])).
% 58.08/9.41 tff(f58019,plain,(
% 58.08/9.41 ( ! [X0 : vEBT_VEBT,X1 : nat] : (finite_finite(nat,vEBT_VEBT_set_vebt(X0)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f33743])).
% 58.08/9.41 tff(f33743,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (finite_finite(nat,vEBT_VEBT_set_vebt(X0)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f25951])).
% 58.08/9.41 tff(f25951,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => finite_finite(nat,vEBT_VEBT_set_vebt(X0)))),
% 58.08/9.41 inference(rectify,[],[f1784])).
% 58.08/9.41 tff(f1784,axiom,(
% 58.08/9.41 ! [X7 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(X7,X8) => finite_finite(nat,vEBT_VEBT_set_vebt(X7)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1783_set__vebt__finite)).
% 58.08/9.41 tff(f106198,plain,(
% 58.08/9.41 spl5880_4604),
% 58.08/9.41 inference(avatar_split_clause,[],[f65846,f106196])).
% 58.08/9.41 tff(f106196,plain,(
% 58.08/9.41 spl5880_4604 <=> ! [X0 : complex] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),iG303(X0)),pi))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4604])])).
% 58.08/9.41 tff(f65846,plain,(
% 58.08/9.41 ( ! [X0 : complex] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),iG303(X0)),pi))) )),
% 58.08/9.41 inference(definition_unfolding,[],[f50638,f50610])).
% 58.08/9.41 tff(f50638,plain,(
% 58.08/9.41 ( ! [X0 : complex] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),arg(X0)),pi))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f10012])).
% 58.08/9.41 tff(f10012,plain,(
% 58.08/9.41 ! [X0 : complex] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),arg(X0)),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0))))),
% 58.08/9.41 inference(fool_elimination,[],[f10011])).
% 58.08/9.41 tff(f10011,plain,(
% 58.08/9.41 ! [X0 : complex] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),arg(X0)),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0)))),
% 58.08/9.41 inference(rectify,[],[f4303])).
% 58.08/9.41 tff(f4303,axiom,(
% 58.08/9.41 ! [X21 : complex] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),arg(X21)),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X21)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4302_Arg__bounded)).
% 58.08/9.41 tff(f106192,plain,(
% 58.08/9.41 spl5880_4603),
% 58.08/9.41 inference(avatar_split_clause,[],[f64827,f106189])).
% 58.08/9.41 tff(f106189,plain,(
% 58.08/9.41 spl5880_4603 <=> (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),pi) = $true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4603])])).
% 58.08/9.41 tff(f64827,plain,(
% 58.08/9.41 (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),pi) = $true)),
% 58.08/9.41 inference(cnf_transformation,[],[f20433])).
% 58.08/9.41 tff(f20433,plain,(
% 58.08/9.41 (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),pi) = $true)),
% 58.08/9.41 inference(fool_elimination,[],[f20432])).
% 58.08/9.41 tff(f20432,plain,(
% 58.08/9.41 aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),pi)),
% 58.08/9.41 inference(rectify,[],[f3418])).
% 58.08/9.41 tff(f3418,axiom,(
% 58.08/9.41 aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),pi)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3417_pi__ge__zero)).
% 58.08/9.41 tff(f106187,plain,(
% 58.08/9.41 spl5880_4602),
% 58.08/9.41 inference(avatar_split_clause,[],[f64822,f106184])).
% 58.08/9.41 tff(f106184,plain,(
% 58.08/9.41 spl5880_4602 <=> ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),sK5879))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4602])])).
% 58.08/9.41 tff(f64822,plain,(
% 58.08/9.41 ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),sK5879))),
% 58.08/9.41 inference(cnf_transformation,[],[f46102])).
% 58.08/9.41 tff(f46102,plain,(
% 58.08/9.41 ! [X1 : real] : (sK5879 = X1 | zero_zero(real) != cos(real,X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,sK5879) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5879),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),sK5879))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5879])],[f36958,f46101])).
% 58.08/9.41 tff(f46101,plain,(
% 58.08/9.41 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | zero_zero(real) != cos(real,X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))) => (! [X1 : real] : (sK5879 = X1 | zero_zero(real) != cos(real,X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,sK5879) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK5879),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),sK5879)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f36958,plain,(
% 58.08/9.41 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | zero_zero(real) != cos(real,X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0)))),
% 58.08/9.41 inference(flattening,[],[f36957])).
% 58.08/9.41 tff(f36957,plain,(
% 58.08/9.41 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | (zero_zero(real) != cos(real,X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1)))) & zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f20429])).
% 58.08/9.41 tff(f20429,plain,(
% 58.08/9.41 ? [X0 : real] : (! [X1 : real] : ((zero_zero(real) = cos(real,X1) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1))) => X0 = X1) & zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0)))),
% 58.08/9.41 inference(fool_elimination,[],[f20428])).
% 58.08/9.41 tff(f20428,plain,(
% 58.08/9.41 ? [X0 : real] : (! [X1 : real] : ((zero_zero(real) = cos(real,X1) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X1)) => X0 = X1) & zero_zero(real) = cos(real,X0) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))),
% 58.08/9.41 inference(rectify,[],[f3606])).
% 58.08/9.41 tff(f3606,axiom,(
% 58.08/9.41 ? [X29 : real] : (! [X49 : real] : ((zero_zero(real) = cos(real,X49) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X49),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X49)) => X29 = X49) & zero_zero(real) = cos(real,X29) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X29),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X29))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3605_cos__is__zero)).
% 58.08/9.41 tff(f106182,plain,(
% 58.08/9.41 spl5880_4601),
% 58.08/9.41 inference(avatar_split_clause,[],[f64775,f106180])).
% 58.08/9.41 tff(f106180,plain,(
% 58.08/9.41 spl5880_4601 <=> ! [X5 : nat,X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X6 : list(vEBT_VEBT),X2 : list(vEBT_VEBT),X1 : nat] : (X2 = X6 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4601])])).
% 58.08/9.41 tff(f64775,plain,(
% 58.08/9.41 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X2 = X6 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f46073])).
% 58.08/9.41 tff(f106178,plain,(
% 58.08/9.41 spl5880_4600),
% 58.08/9.41 inference(avatar_split_clause,[],[f64042,f106176])).
% 58.08/9.41 tff(f106176,plain,(
% 58.08/9.41 spl5880_4600 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4) | ~iG1600(X2,X1,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4600])])).
% 58.08/9.41 tff(f64042,plain,(
% 58.08/9.41 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4) | ~iG1600(X2,X1,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45617])).
% 58.08/9.41 tff(f45617,plain,(
% 58.08/9.41 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : ((vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4) | ~iG1600(X2,X1,X4)) & (iG1600(X2,X1,X4) | ~vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4)))),
% 58.08/9.41 inference(nnf_transformation,[],[f19745])).
% 58.08/9.41 tff(f19745,plain,(
% 58.08/9.41 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4) <=> iG1600(X2,X1,X4))),
% 58.08/9.41 inference(fool_elimination,[],[f19742,f19744,f19743])).
% 58.08/9.41 tff(f19743,plain,(
% 58.08/9.41 ! [X4 : nat,X1 : nat] : vEBT_VEBT_high(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1599(X4,X1)),
% 58.08/9.41 introduced(fool_let_definition,[new_symbols(definition,[lG1599])])).
% 58.08/9.41 tff(f19744,plain,(
% 58.08/9.41 ! [X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1599(X4,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2))) => (iG1600(X2,X1,X4) <=> $false)) & ! [X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1599(X4,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2))) => (iG1600(X2,X1,X4) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG1599(X4,X1)),vEBT_VEBT_low(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1600])])).
% 58.08/9.41 tff(f19742,plain,(
% 58.08/9.41 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4) <=> $let(pos178: nat, pos178 := vEBT_VEBT_high(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos178),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2)), vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),pos178),vEBT_VEBT_low(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))),
% 58.08/9.41 inference(rectify,[],[f1675])).
% 58.08/9.41 tff(f1675,axiom,(
% 58.08/9.41 ! [X100 : option(product_prod(nat,nat)),X16 : nat,X57 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : (vEBT_V5719532721284313246member(vEBT_Node(X100,aa(nat,nat,suc,X16),X57,X55),X9) <=> $let(pos178: nat, pos178 := vEBT_VEBT_high(X9,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos178),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X57)), vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X57),pos178),vEBT_VEBT_low(X9,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1674_VEBT__internal_Onaive__member_Osimps_I3_J)).
% 58.08/9.41 tff(f106174,plain,(
% 58.08/9.41 spl5880_4599),
% 58.08/9.41 inference(avatar_split_clause,[],[f64041,f106172])).
% 58.08/9.41 tff(f106172,plain,(
% 58.08/9.41 spl5880_4599 <=> ! [X2 : list(vEBT_VEBT),X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X1 : nat] : (iG1600(X2,X1,X4) | ~vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4599])])).
% 58.08/9.41 tff(f64041,plain,(
% 58.08/9.41 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (iG1600(X2,X1,X4) | ~vEBT_V5719532721284313246member(vEBT_Node(X0,aa(nat,nat,suc,X1),X2,X3),X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45617])).
% 58.08/9.41 tff(f106170,plain,(
% 58.08/9.41 spl5880_4598),
% 58.08/9.41 inference(avatar_split_clause,[],[f63681,f106168])).
% 58.08/9.41 tff(f106168,plain,(
% 58.08/9.41 spl5880_4598 <=> ! [X2 : $tType,X0 : $tType,X4 : set(X0),X3 : set(X2),X1 : fun(X0,fun(X2,$o))] : (member(X2,sK5535(X0,X2,X1,X3,X4),X3) | ~sP2458(X0,X2,X1,X3,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4598])])).
% 58.08/9.41 tff(f63681,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $tType,X3 : set(X2),X1 : fun(X0,fun(X2,$o)),X4 : set(X0)] : (member(X2,sK5535(X0,X2,X1,X3,X4),X3) | ~sP2458(X0,X2,X1,X3,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45389])).
% 58.08/9.41 tff(f45389,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,fun(X2,$o)),X2 : $tType,X3 : set(X2),X4 : set(X0)] : ((sK5533(X0,X2,X1,X3,X4) != sK5534(X0,X2,X1,X3,X4) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,sK5534(X0,X2,X1,X3,X4)),sK5535(X0,X2,X1,X3,X4))) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,sK5533(X0,X2,X1,X3,X4)),sK5535(X0,X2,X1,X3,X4))) & member(X2,sK5535(X0,X2,X1,X3,X4),X3) & member(X0,sK5534(X0,X2,X1,X3,X4),X4) & member(X0,sK5533(X0,X2,X1,X3,X4),X4)) | ~sP2458(X0,X2,X1,X3,X4))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5533,sK5534,sK5535])],[f45387,f45388])).
% 58.08/9.41 tff(f45388,plain,(
% 58.08/9.41 ! [X2 : $tType,X0 : $tType,X1 : fun(X0,fun(X2,$o)),X3 : set(X2),X4 : set(X0)] : (? [X5 : X0,X6 : X0,X7 : X2] : (X5 != X6 & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,X6),X7)) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,X5),X7)) & member(X2,X7,X3) & member(X0,X6,X4) & member(X0,X5,X4)) => (sK5533(X0,X2,X1,X3,X4) != sK5534(X0,X2,X1,X3,X4) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,sK5534(X0,X2,X1,X3,X4)),sK5535(X0,X2,X1,X3,X4))) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,sK5533(X0,X2,X1,X3,X4)),sK5535(X0,X2,X1,X3,X4))) & member(X2,sK5535(X0,X2,X1,X3,X4),X3) & member(X0,sK5534(X0,X2,X1,X3,X4),X4) & member(X0,sK5533(X0,X2,X1,X3,X4),X4)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45387,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,fun(X2,$o)),X2 : $tType,X3 : set(X2),X4 : set(X0)] : (? [X5 : X0,X6 : X0,X7 : X2] : (X5 != X6 & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,X6),X7)) & ($true = aa(X2,$o,aa(X0,fun(X2,$o),X1,X5),X7)) & member(X2,X7,X3) & member(X0,X6,X4) & member(X0,X5,X4)) | ~sP2458(X0,X2,X1,X3,X4))),
% 58.08/9.41 inference(rectify,[],[f45386])).
% 58.08/9.41 tff(f45386,plain,(
% 58.08/9.41 ! [X0 : $tType,X4 : fun(X0,fun(X1,$o)),X1 : $tType,X2 : set(X1),X3 : set(X0)] : (? [X7 : X0,X8 : X0,X9 : X1] : (X7 != X8 & ($true = aa(X1,$o,aa(X0,fun(X1,$o),X4,X8),X9)) & ($true = aa(X1,$o,aa(X0,fun(X1,$o),X4,X7),X9)) & member(X1,X9,X2) & member(X0,X8,X3) & member(X0,X7,X3)) | ~sP2458(X0,X1,X4,X2,X3))),
% 58.08/9.41 inference(nnf_transformation,[],[f37850])).
% 58.08/9.41 tff(f37850,plain,(
% 58.08/9.41 ! [X0 : $tType,X4 : fun(X0,fun(X1,$o)),X1 : $tType,X2 : set(X1),X3 : set(X0)] : (? [X7 : X0,X8 : X0,X9 : X1] : (X7 != X8 & ($true = aa(X1,$o,aa(X0,fun(X1,$o),X4,X8),X9)) & ($true = aa(X1,$o,aa(X0,fun(X1,$o),X4,X7),X9)) & member(X1,X9,X2) & member(X0,X8,X3) & member(X0,X7,X3)) | ~sP2458(X0,X1,X4,X2,X3))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2458])])).
% 58.08/9.41 tff(f106166,plain,(
% 58.08/9.41 spl5880_4597),
% 58.08/9.41 inference(avatar_split_clause,[],[f63680,f106164])).
% 58.08/9.41 tff(f106164,plain,(
% 58.08/9.41 spl5880_4597 <=> ! [X2 : $tType,X0 : $tType,X4 : set(X0),X3 : set(X2),X1 : fun(X0,fun(X2,$o))] : (member(X0,sK5534(X0,X2,X1,X3,X4),X4) | ~sP2458(X0,X2,X1,X3,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4597])])).
% 58.08/9.41 tff(f63680,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $tType,X3 : set(X2),X1 : fun(X0,fun(X2,$o)),X4 : set(X0)] : (member(X0,sK5534(X0,X2,X1,X3,X4),X4) | ~sP2458(X0,X2,X1,X3,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45389])).
% 58.08/9.41 tff(f106162,plain,(
% 58.08/9.41 spl5880_4596),
% 58.08/9.41 inference(avatar_split_clause,[],[f63679,f106160])).
% 58.08/9.41 tff(f106160,plain,(
% 58.08/9.41 spl5880_4596 <=> ! [X2 : $tType,X0 : $tType,X4 : set(X0),X3 : set(X2),X1 : fun(X0,fun(X2,$o))] : (member(X0,sK5533(X0,X2,X1,X3,X4),X4) | ~sP2458(X0,X2,X1,X3,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4596])])).
% 58.08/9.41 tff(f63679,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $tType,X3 : set(X2),X1 : fun(X0,fun(X2,$o)),X4 : set(X0)] : (member(X0,sK5533(X0,X2,X1,X3,X4),X4) | ~sP2458(X0,X2,X1,X3,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45389])).
% 58.08/9.41 tff(f106158,plain,(
% 58.08/9.41 spl5880_4595),
% 58.08/9.41 inference(avatar_split_clause,[],[f63594,f106156])).
% 58.08/9.41 tff(f106156,plain,(
% 58.08/9.41 spl5880_4595 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : ($true != aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4595])])).
% 58.08/9.41 tff(f63594,plain,(
% 58.08/9.41 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (($true != aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27003])).
% 58.08/9.41 tff(f27003,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ($true != aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))),
% 58.08/9.41 inference(flattening,[],[f19452])).
% 58.08/9.41 tff(f19452,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ~($true = aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))),
% 58.08/9.41 inference(fool_elimination,[],[f19451])).
% 58.08/9.41 tff(f19451,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ~aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3)),
% 58.08/9.41 inference(rectify,[],[f710])).
% 58.08/9.41 tff(f710,axiom,(
% 58.08/9.41 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT,X9 : nat] : ~aa(nat,$o,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110)),X9)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_709_vebt__member_Osimps_I2_J)).
% 58.08/9.41 tff(f106154,plain,(
% 58.08/9.41 spl5880_4594),
% 58.08/9.41 inference(avatar_split_clause,[],[f63357,f106152])).
% 58.08/9.41 tff(f106152,plain,(
% 58.08/9.41 spl5880_4594 <=> ! [X1 : $tType,X0 : $tType,X3 : list(X1),X2 : fun(X1,X0)] : (distinct(X1,X3) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4594])])).
% 58.08/9.41 tff(f63357,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : (distinct(X1,X3) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45203])).
% 58.08/9.41 tff(f45203,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : ((distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) | ~inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) | ~distinct(X1,X3)) & ((inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))))),
% 58.08/9.41 inference(flattening,[],[f45202])).
% 58.08/9.41 tff(f45202,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : ((distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) | (~inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) | ~distinct(X1,X3))) & ((inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))))),
% 58.08/9.41 inference(nnf_transformation,[],[f26983])).
% 58.08/9.41 tff(f26983,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : (distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) <=> (inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)))),
% 58.08/9.41 inference(rectify,[],[f7812])).
% 58.08/9.41 tff(f7812,axiom,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X30 : fun(X1,X0),X64 : list(X1)] : (distinct(X0,aa(list(X1),list(X0),map(X1,X0,X30),X64)) <=> (inj_on(X1,X0,X30,aa(list(X1),set(X1),set2(X1),X64)) & distinct(X1,X64)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7811_distinct__map)).
% 58.08/9.41 tff(f106148,plain,(
% 58.08/9.41 spl5880_4593),
% 58.08/9.41 inference(avatar_split_clause,[],[f63250,f106146])).
% 58.08/9.41 tff(f106146,plain,(
% 58.08/9.41 spl5880_4593 <=> ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5456(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2445(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4593])])).
% 58.08/9.41 tff(f63250,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5456(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2445(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45133])).
% 58.08/9.41 tff(f45133,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : ((sP2445(X0,X1,X2) | ! [X3 : int] : (! [X4 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3))) | ~member(int,X4,X1)) | ~member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2)))) & (((($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5457(X0,X1,X2)),sK5456(X0,X1,X2)))) & member(int,sK5457(X0,X1,X2),X1)) & member(int,sK5456(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2445(X0,X1,X2)))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5456,sK5457])],[f45130,f45132,f45131])).
% 58.08/9.41 tff(f45131,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : (? [X5 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5))) & member(int,X6,X1)) & member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),sK5456(X0,X1,X2)))) & member(int,X6,X1)) & member(int,sK5456(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45132,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),sK5456(X0,X1,X2)))) & member(int,X6,X1)) => (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5457(X0,X1,X2)),sK5456(X0,X1,X2)))) & member(int,sK5457(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45130,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : ((sP2445(X0,X1,X2) | ! [X3 : int] : (! [X4 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3))) | ~member(int,X4,X1)) | ~member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2)))) & (? [X5 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5))) & member(int,X6,X1)) & member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2445(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f45129])).
% 58.08/9.41 tff(f45129,plain,(
% 58.08/9.41 ! [X1 : fun(int,$o),X3 : set(int),X0 : int] : ((sP2445(X1,X3,X0) | ! [X12 : int] : (! [X13 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X13),X12))) | ~member(int,X13,X3)) | ~member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0)))) & (? [X12 : int] : (? [X13 : int] : (($true = aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X13),X12))) & member(int,X13,X3)) & member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2445(X1,X3,X0)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37827])).
% 58.08/9.41 tff(f37827,plain,(
% 58.08/9.41 ! [X1 : fun(int,$o),X3 : set(int),X0 : int] : (sP2445(X1,X3,X0) <=> ? [X12 : int] : (? [X13 : int] : (($true = aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X13),X12))) & member(int,X13,X3)) & member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0))))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2445])])).
% 58.08/9.41 tff(f106144,plain,(
% 58.08/9.41 spl5880_4592),
% 58.08/9.41 inference(avatar_split_clause,[],[f63237,f106142])).
% 58.08/9.41 tff(f106142,plain,(
% 58.08/9.41 spl5880_4592 <=> ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5448(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2442(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4592])])).
% 58.08/9.41 tff(f63237,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5448(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2442(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45114])).
% 58.08/9.41 tff(f45114,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : ((sP2442(X0,X1,X2) | ! [X3 : int] : (! [X4 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3))) | ~member(int,X4,X1)) | ~member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2)))) & (((($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5449(X0,X1,X2)),sK5448(X0,X1,X2)))) & member(int,sK5449(X0,X1,X2),X1)) & member(int,sK5448(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2442(X0,X1,X2)))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5448,sK5449])],[f45111,f45113,f45112])).
% 58.08/9.41 tff(f45112,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : (? [X5 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5))) & member(int,X6,X1)) & member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),sK5448(X0,X1,X2)))) & member(int,X6,X1)) & member(int,sK5448(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45113,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),sK5448(X0,X1,X2)))) & member(int,X6,X1)) => (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5449(X0,X1,X2)),sK5448(X0,X1,X2)))) & member(int,sK5449(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45111,plain,(
% 58.08/9.41 ! [X0 : fun(int,$o),X1 : set(int),X2 : int] : ((sP2442(X0,X1,X2) | ! [X3 : int] : (! [X4 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3))) | ~member(int,X4,X1)) | ~member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2)))) & (? [X5 : int] : (? [X6 : int] : (($true = aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5))) & member(int,X6,X1)) & member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2442(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f45110])).
% 58.08/9.41 tff(f45110,plain,(
% 58.08/9.41 ! [X1 : fun(int,$o),X3 : set(int),X0 : int] : ((sP2442(X1,X3,X0) | ! [X12 : int] : (! [X13 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X13),X12))) | ~member(int,X13,X3)) | ~member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0)))) & (? [X12 : int] : (? [X13 : int] : (($true = aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X13),X12))) & member(int,X13,X3)) & member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2442(X1,X3,X0)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37823])).
% 58.08/9.41 tff(f37823,plain,(
% 58.08/9.41 ! [X1 : fun(int,$o),X3 : set(int),X0 : int] : (sP2442(X1,X3,X0) <=> ? [X12 : int] : (? [X13 : int] : (($true = aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X13),X12))) & member(int,X13,X3)) & member(int,X12,set_or1337092689740270186AtMost(int,one_one(int),X0))))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2442])])).
% 58.08/9.41 tff(f106140,plain,(
% 58.08/9.41 spl5880_4591),
% 58.08/9.41 inference(avatar_split_clause,[],[f63148,f106138])).
% 58.08/9.41 tff(f106138,plain,(
% 58.08/9.41 spl5880_4591 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5411(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2432(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4591])])).
% 58.08/9.41 tff(f63148,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5411(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2432(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45032])).
% 58.08/9.41 tff(f45032,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (((aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5412(X0,X1,X2)),sK5411(X0,X1,X2)) = X0 & member(int,sK5412(X0,X1,X2),X1)) & member(int,sK5411(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2432(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5411,sK5412])],[f45029,f45031,f45030])).
% 58.08/9.41 tff(f45030,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),sK5411(X0,X1,X2)) = X0 & member(int,X4,X1)) & member(int,sK5411(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45031,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),sK5411(X0,X1,X2)) = X0 & member(int,X4,X1)) => (aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5412(X0,X1,X2)),sK5411(X0,X1,X2)) = X0 & member(int,sK5412(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45029,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2432(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f45028])).
% 58.08/9.41 tff(f45028,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2432(X10,X1,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37808])).
% 58.08/9.41 tff(f37808,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2432(X10,X1,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2432])])).
% 58.08/9.41 tff(f106136,plain,(
% 58.08/9.41 spl5880_4590),
% 58.08/9.41 inference(avatar_split_clause,[],[f63137,f106134])).
% 58.08/9.41 tff(f106134,plain,(
% 58.08/9.41 spl5880_4590 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5407(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2429(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4590])])).
% 58.08/9.41 tff(f63137,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5407(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2429(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45018])).
% 58.08/9.41 tff(f45018,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (((aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5408(X0,X1,X2)),sK5407(X0,X1,X2)) = X0 & member(int,sK5408(X0,X1,X2),X1)) & member(int,sK5407(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2429(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5407,sK5408])],[f45015,f45017,f45016])).
% 58.08/9.41 tff(f45016,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),sK5407(X0,X1,X2)) = X0 & member(int,X4,X1)) & member(int,sK5407(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45017,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),sK5407(X0,X1,X2)) = X0 & member(int,X4,X1)) => (aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5408(X0,X1,X2)),sK5407(X0,X1,X2)) = X0 & member(int,sK5408(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45015,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2429(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f45014])).
% 58.08/9.41 tff(f45014,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2429(X10,X1,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37804])).
% 58.08/9.41 tff(f37804,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2429(X10,X1,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2429])])).
% 58.08/9.41 tff(f106132,plain,(
% 58.08/9.41 spl5880_4589),
% 58.08/9.41 inference(avatar_split_clause,[],[f63126,f106130])).
% 58.08/9.41 tff(f106130,plain,(
% 58.08/9.41 spl5880_4589 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5403(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2426(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4589])])).
% 58.08/9.41 tff(f63126,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5403(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2426(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f45004])).
% 58.08/9.41 tff(f45004,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (((aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5404(X0,X1,X2)),sK5403(X0,X1,X2)) = X0 & member(int,sK5404(X0,X1,X2),X1)) & member(int,sK5403(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2426(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5403,sK5404])],[f45001,f45003,f45002])).
% 58.08/9.41 tff(f45002,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),sK5403(X0,X1,X2)) = X0 & member(int,X4,X1)) & member(int,sK5403(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45003,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),sK5403(X0,X1,X2)) = X0 & member(int,X4,X1)) => (aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5404(X0,X1,X2)),sK5403(X0,X1,X2)) = X0 & member(int,sK5404(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f45001,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2426(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f45000])).
% 58.08/9.41 tff(f45000,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2426(X10,X1,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37800])).
% 58.08/9.41 tff(f37800,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2426(X10,X1,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2426])])).
% 58.08/9.41 tff(f106128,plain,(
% 58.08/9.41 spl5880_4588),
% 58.08/9.41 inference(avatar_split_clause,[],[f63115,f106126])).
% 58.08/9.41 tff(f106126,plain,(
% 58.08/9.41 spl5880_4588 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5399(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2423(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4588])])).
% 58.08/9.41 tff(f63115,plain,(
% 58.08/9.41 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5399(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2)) | ~sP2423(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44990])).
% 58.08/9.41 tff(f44990,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (((aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5400(X0,X1,X2)),sK5399(X0,X1,X2)) = X0 & member(int,sK5400(X0,X1,X2),X1)) & member(int,sK5399(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2423(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5399,sK5400])],[f44987,f44989,f44988])).
% 58.08/9.41 tff(f44988,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) => (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),sK5399(X0,X1,X2)) = X0 & member(int,X4,X1)) & member(int,sK5399(X0,X1,X2),set_or1337092689740270186AtMost(int,one_one(int),X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f44989,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),sK5399(X0,X1,X2)) = X0 & member(int,X4,X1)) => (aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5400(X0,X1,X2)),sK5399(X0,X1,X2)) = X0 & member(int,sK5400(X0,X1,X2),X1)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f44987,plain,(
% 58.08/9.41 ! [X0 : int,X1 : set(int),X2 : int] : (? [X3 : int] : (? [X4 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X3) = X0 & member(int,X4,X1)) & member(int,X3,set_or1337092689740270186AtMost(int,one_one(int),X2))) | ~sP2423(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f44986])).
% 58.08/9.41 tff(f44986,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2423(X10,X1,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37796])).
% 58.08/9.41 tff(f37796,plain,(
% 58.08/9.41 ! [X10 : int,X1 : set(int),X0 : int] : (? [X11 : int] : (? [X12 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X12),X11) = X10 & member(int,X12,X1)) & member(int,X11,set_or1337092689740270186AtMost(int,one_one(int),X0))) | ~sP2423(X10,X1,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2423])])).
% 58.08/9.41 tff(f106124,plain,(
% 58.08/9.41 spl5880_4587),
% 58.08/9.41 inference(avatar_split_clause,[],[f62874,f106122])).
% 58.08/9.41 tff(f106122,plain,(
% 58.08/9.41 spl5880_4587 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (($true = aa(set(X0),$o,X1,sK5319(X0,X1,X2))) | ~sP2411(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4587])])).
% 58.08/9.41 tff(f62874,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (($true = aa(set(X0),$o,X1,sK5319(X0,X1,X2))) | ~sP2411(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44815])).
% 58.08/9.41 tff(f44815,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : ((($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,sK5318(X0,X1,X2)),sK5319(X0,X1,X2)))) & ($true = aa(set(X0),$o,X1,sK5319(X0,X1,X2))) & ~member(X0,sK5318(X0,X1,X2),sK5319(X0,X1,X2)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),sK5319(X0,X1,X2)),X2)) & member(X0,sK5318(X0,X1,X2),X2) & finite_finite(X0,sK5319(X0,X1,X2))) | ~sP2411(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5318,sK5319])],[f44813,f44814])).
% 58.08/9.41 tff(f44814,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : (? [X3 : X0,X4 : set(X0)] : (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,X3),X4))) & ($true = aa(set(X0),$o,X1,X4)) & ~member(X0,X3,X4) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X4),X2)) & member(X0,X3,X2) & finite_finite(X0,X4)) => (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,sK5318(X0,X1,X2)),sK5319(X0,X1,X2)))) & ($true = aa(set(X0),$o,X1,sK5319(X0,X1,X2))) & ~member(X0,sK5318(X0,X1,X2),sK5319(X0,X1,X2)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),sK5319(X0,X1,X2)),X2)) & member(X0,sK5318(X0,X1,X2),X2) & finite_finite(X0,sK5319(X0,X1,X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f44813,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : (? [X3 : X0,X4 : set(X0)] : (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,X3),X4))) & ($true = aa(set(X0),$o,X1,X4)) & ~member(X0,X3,X4) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X4),X2)) & member(X0,X3,X2) & finite_finite(X0,X4)) | ~sP2411(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f44812])).
% 58.08/9.41 tff(f44812,plain,(
% 58.08/9.41 ! [X0 : $tType,X3 : fun(set(X0),$o),X2 : set(X0)] : (? [X4 : X0,X5 : set(X0)] : (($true != aa(set(X0),$o,X3,aa(set(X0),set(X0),insert(X0,X4),X5))) & ($true = aa(set(X0),$o,X3,X5)) & ~member(X0,X4,X5) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X5),X2)) & member(X0,X4,X2) & finite_finite(X0,X5)) | ~sP2411(X0,X3,X2))),
% 58.08/9.41 inference(nnf_transformation,[],[f37775])).
% 58.08/9.41 tff(f37775,plain,(
% 58.08/9.41 ! [X0 : $tType,X3 : fun(set(X0),$o),X2 : set(X0)] : (? [X4 : X0,X5 : set(X0)] : (($true != aa(set(X0),$o,X3,aa(set(X0),set(X0),insert(X0,X4),X5))) & ($true = aa(set(X0),$o,X3,X5)) & ~member(X0,X4,X5) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X5),X2)) & member(X0,X4,X2) & finite_finite(X0,X5)) | ~sP2411(X0,X3,X2))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2411])])).
% 58.08/9.41 tff(f106120,plain,(
% 58.08/9.41 spl5880_4586),
% 58.08/9.41 inference(avatar_split_clause,[],[f62867,f106118])).
% 58.08/9.41 tff(f106118,plain,(
% 58.08/9.41 spl5880_4586 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (($true = aa(set(X0),$o,X1,sK5317(X0,X1,X2))) | ~sP2410(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4586])])).
% 58.08/9.41 tff(f62867,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (($true = aa(set(X0),$o,X1,sK5317(X0,X1,X2))) | ~sP2410(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44811])).
% 58.08/9.41 tff(f44811,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : ((($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,sK5316(X0,X1,X2)),sK5317(X0,X1,X2)))) & ($true = aa(set(X0),$o,X1,sK5317(X0,X1,X2))) & ~member(X0,sK5316(X0,X1,X2),sK5317(X0,X1,X2)) & member(X0,sK5316(X0,X1,X2),X2) & finite_finite(X0,sK5317(X0,X1,X2))) | ~sP2410(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5316,sK5317])],[f44809,f44810])).
% 58.08/9.41 tff(f44810,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : (? [X3 : X0,X4 : set(X0)] : (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,X3),X4))) & ($true = aa(set(X0),$o,X1,X4)) & ~member(X0,X3,X4) & member(X0,X3,X2) & finite_finite(X0,X4)) => (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,sK5316(X0,X1,X2)),sK5317(X0,X1,X2)))) & ($true = aa(set(X0),$o,X1,sK5317(X0,X1,X2))) & ~member(X0,sK5316(X0,X1,X2),sK5317(X0,X1,X2)) & member(X0,sK5316(X0,X1,X2),X2) & finite_finite(X0,sK5317(X0,X1,X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f44809,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(set(X0),$o),X2 : set(X0)] : (? [X3 : X0,X4 : set(X0)] : (($true != aa(set(X0),$o,X1,aa(set(X0),set(X0),insert(X0,X3),X4))) & ($true = aa(set(X0),$o,X1,X4)) & ~member(X0,X3,X4) & member(X0,X3,X2) & finite_finite(X0,X4)) | ~sP2410(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f44808])).
% 58.08/9.41 tff(f44808,plain,(
% 58.08/9.41 ! [X0 : $tType,X3 : fun(set(X0),$o),X2 : set(X0)] : (? [X4 : X0,X5 : set(X0)] : (($true != aa(set(X0),$o,X3,aa(set(X0),set(X0),insert(X0,X4),X5))) & ($true = aa(set(X0),$o,X3,X5)) & ~member(X0,X4,X5) & member(X0,X4,X2) & finite_finite(X0,X5)) | ~sP2410(X0,X3,X2))),
% 58.08/9.41 inference(nnf_transformation,[],[f37773])).
% 58.08/9.41 tff(f37773,plain,(
% 58.08/9.41 ! [X0 : $tType,X3 : fun(set(X0),$o),X2 : set(X0)] : (? [X4 : X0,X5 : set(X0)] : (($true != aa(set(X0),$o,X3,aa(set(X0),set(X0),insert(X0,X4),X5))) & ($true = aa(set(X0),$o,X3,X5)) & ~member(X0,X4,X5) & member(X0,X4,X2) & finite_finite(X0,X5)) | ~sP2410(X0,X3,X2))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2410])])).
% 58.08/9.41 tff(f106116,plain,(
% 58.08/9.41 spl5880_4585),
% 58.08/9.41 inference(avatar_split_clause,[],[f62370,f106114])).
% 58.08/9.41 tff(f106114,plain,(
% 58.08/9.41 spl5880_4585 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2)) | X1 = X2)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4585])])).
% 58.08/9.41 tff(f62370,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2)) | X1 = X2) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44640])).
% 58.08/9.41 tff(f44640,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0,X2 : X0] : ((($true = aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2)) | X1 = X2) & (X1 != X2 | ($true != aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2))))),
% 58.08/9.41 inference(nnf_transformation,[],[f18715])).
% 58.08/9.41 tff(f18715,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2)) <=> X1 != X2)),
% 58.08/9.41 inference(fool_elimination,[],[f18714])).
% 58.08/9.41 tff(f18714,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0,X2 : X0] : (aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2) <=> X1 != X2)),
% 58.08/9.41 inference(rectify,[],[f8450])).
% 58.08/9.41 tff(f8450,axiom,(
% 58.08/9.41 ! [X0 : $tType,X105 : X0,X448 : X0] : (aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X105),X448) <=> X105 != X448)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8449_ATP_Olambda__269)).
% 58.08/9.41 tff(f106112,plain,(
% 58.08/9.41 spl5880_4584),
% 58.08/9.41 inference(avatar_split_clause,[],[f61632,f106110])).
% 58.08/9.41 tff(f106110,plain,(
% 58.08/9.41 spl5880_4584 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (($true != aa(set(X1),$o,X0,sK5126(X1,X0,X2))) | ~sP2365(X1,X0,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4584])])).
% 58.08/9.41 tff(f61632,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (($true != aa(set(X1),$o,X0,sK5126(X1,X0,X2))) | ~sP2365(X1,X0,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f44179])).
% 58.08/9.41 tff(f44179,plain,(
% 58.08/9.41 ! [X0 : fun(set(X1),$o),X1 : $tType,X2 : set(X1)] : ((($true != aa(set(X1),$o,X0,sK5126(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),sK5126(X1,X0,X2)),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,sK5126(X1,X0,X2))) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK5126(X1,X0,X2)),X2)) & bot_bot(set(X1)) != sK5126(X1,X0,X2) & finite_finite(X1,sK5126(X1,X0,X2))) | ~sP2365(X1,X0,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5126])],[f44177,f44178])).
% 58.08/9.41 tff(f44178,plain,(
% 58.08/9.41 ! [X1 : $tType,X0 : fun(set(X1),$o),X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(set(X1),$o,X0,X3)) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X3),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,X3)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2)) & bot_bot(set(X1)) != X3 & finite_finite(X1,X3)) => (($true != aa(set(X1),$o,X0,sK5126(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),sK5126(X1,X0,X2)),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,sK5126(X1,X0,X2))) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK5126(X1,X0,X2)),X2)) & bot_bot(set(X1)) != sK5126(X1,X0,X2) & finite_finite(X1,sK5126(X1,X0,X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f44177,plain,(
% 58.08/9.41 ! [X0 : fun(set(X1),$o),X1 : $tType,X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(set(X1),$o,X0,X3)) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X3),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,X3)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2)) & bot_bot(set(X1)) != X3 & finite_finite(X1,X3)) | ~sP2365(X1,X0,X2))),
% 58.08/9.41 inference(rectify,[],[f44176])).
% 58.08/9.41 tff(f44176,plain,(
% 58.08/9.41 ! [X1 : fun(set(X0),$o),X0 : $tType,X2 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(set(X0),$o,X1,X3)) & ! [X4 : X0] : (($true = aa(set(X0),$o,X1,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) | ~member(X0,X4,X3)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X2)) & bot_bot(set(X0)) != X3 & finite_finite(X0,X3)) | ~sP2365(X0,X1,X2))),
% 58.08/9.41 inference(nnf_transformation,[],[f37697])).
% 58.08/9.41 tff(f37697,plain,(
% 58.08/9.41 ! [X1 : fun(set(X0),$o),X0 : $tType,X2 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(set(X0),$o,X1,X3)) & ! [X4 : X0] : (($true = aa(set(X0),$o,X1,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) | ~member(X0,X4,X3)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X2)) & bot_bot(set(X0)) != X3 & finite_finite(X0,X3)) | ~sP2365(X0,X1,X2))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2365])])).
% 58.08/9.41 tff(f106106,plain,(
% 58.08/9.41 spl5880_4583),
% 58.08/9.41 inference(avatar_split_clause,[],[f61448,f106104])).
% 58.08/9.41 tff(f106104,plain,(
% 58.08/9.41 spl5880_4583 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sP2345(sK5001(X0,X1,X2),X0,sK5000(X0,X1,X2),X1) | ~sP2349(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4583])])).
% 58.08/9.41 tff(f61448,plain,(
% 58.08/9.41 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sP2345(sK5001(X0,X1,X2),X0,sK5000(X0,X1,X2),X1) | ~sP2349(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f43969])).
% 58.08/9.41 tff(f43969,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,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),sK5000(X0,X1,X2)),sK5001(X0,X1,X2))),zero_zero(nat),sK5002(X0,X1,X2),sK5003(X0,X1,X2))),X0))) & sP2345(sK5001(X0,X1,X2),X0,sK5000(X0,X1,X2),X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK5000(X0,X1,X2)),sK5001(X0,X1,X2))),zero_zero(nat),sK5002(X0,X1,X2),sK5003(X0,X1,X2)) = X2) | ~sP2349(X0,X1,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5000,sK5001,sK5002,sK5003])],[f43967,f43968])).
% 58.08/9.41 tff(f43968,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),zero_zero(nat),X5,X6)),X0))) & sP2345(X4,X0,X3,X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),zero_zero(nat),X5,X6) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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),sK5000(X0,X1,X2)),sK5001(X0,X1,X2))),zero_zero(nat),sK5002(X0,X1,X2),sK5003(X0,X1,X2))),X0))) & sP2345(sK5001(X0,X1,X2),X0,sK5000(X0,X1,X2),X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK5000(X0,X1,X2)),sK5001(X0,X1,X2))),zero_zero(nat),sK5002(X0,X1,X2),sK5003(X0,X1,X2)) = X2))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f43967,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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),X3),X4)),zero_zero(nat),X5,X6)),X0))) & sP2345(X4,X0,X3,X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),zero_zero(nat),X5,X6) = X2) | ~sP2349(X0,X1,X2))),
% 58.08/9.41 inference(rectify,[],[f43966])).
% 58.08/9.41 tff(f43966,plain,(
% 58.08/9.41 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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),X7),X8)),zero_zero(nat),X9,X10)),X1))) & sP2345(X8,X1,X7,X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP2349(X1,X2,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37672])).
% 58.08/9.41 tff(f37672,plain,(
% 58.08/9.41 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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),X7),X8)),zero_zero(nat),X9,X10)),X1))) & sP2345(X8,X1,X7,X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP2349(X1,X2,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2349])])).
% 58.08/9.41 tff(f106102,plain,(
% 58.08/9.41 spl5880_4582),
% 58.08/9.41 inference(avatar_split_clause,[],[f60432,f106100])).
% 58.08/9.41 tff(f106100,plain,(
% 58.08/9.41 spl5880_4582 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (($true != aa(set(X1),$o,X0,sK4286(X1,X0,X2))) | ~sP2134(X1,X0,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4582])])).
% 58.08/9.41 tff(f60432,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (($true != aa(set(X1),$o,X0,sK4286(X1,X0,X2))) | ~sP2134(X1,X0,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42865])).
% 58.08/9.41 tff(f42865,plain,(
% 58.08/9.41 ! [X0 : fun(set(X1),$o),X1 : $tType,X2 : set(X1)] : ((($true != aa(set(X1),$o,X0,sK4286(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),sK4286(X1,X0,X2)),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,sK4286(X1,X0,X2))) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK4286(X1,X0,X2)),X2)) & bot_bot(set(X1)) != sK4286(X1,X0,X2) & finite_finite(X1,sK4286(X1,X0,X2))) | ~sP2134(X1,X0,X2))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4286])],[f42863,f42864])).
% 58.08/9.41 tff(f42864,plain,(
% 58.08/9.41 ! [X1 : $tType,X0 : fun(set(X1),$o),X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(set(X1),$o,X0,X3)) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X3),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,X3)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2)) & bot_bot(set(X1)) != X3 & finite_finite(X1,X3)) => (($true != aa(set(X1),$o,X0,sK4286(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),sK4286(X1,X0,X2)),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,sK4286(X1,X0,X2))) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK4286(X1,X0,X2)),X2)) & bot_bot(set(X1)) != sK4286(X1,X0,X2) & finite_finite(X1,sK4286(X1,X0,X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f42863,plain,(
% 58.08/9.41 ! [X0 : fun(set(X1),$o),X1 : $tType,X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(set(X1),$o,X0,X3)) & ! [X4 : X1] : (($true = aa(set(X1),$o,X0,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X3),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1)))))) | ~member(X1,X4,X3)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2)) & bot_bot(set(X1)) != X3 & finite_finite(X1,X3)) | ~sP2134(X1,X0,X2))),
% 58.08/9.41 inference(rectify,[],[f42862])).
% 58.08/9.41 tff(f42862,plain,(
% 58.08/9.41 ! [X2 : fun(set(X0),$o),X0 : $tType,X1 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(set(X0),$o,X2,X3)) & ! [X4 : X0] : (($true = aa(set(X0),$o,X2,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) | ~member(X0,X4,X3)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & bot_bot(set(X0)) != X3 & finite_finite(X0,X3)) | ~sP2134(X0,X2,X1))),
% 58.08/9.41 inference(nnf_transformation,[],[f37410])).
% 58.08/9.41 tff(f37410,plain,(
% 58.08/9.41 ! [X2 : fun(set(X0),$o),X0 : $tType,X1 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(set(X0),$o,X2,X3)) & ! [X4 : X0] : (($true = aa(set(X0),$o,X2,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X4),bot_bot(set(X0)))))) | ~member(X0,X4,X3)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & bot_bot(set(X0)) != X3 & finite_finite(X0,X3)) | ~sP2134(X0,X2,X1))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2134])])).
% 58.08/9.41 tff(f106098,plain,(
% 58.08/9.41 spl5880_4581),
% 58.08/9.41 inference(avatar_split_clause,[],[f60362,f106096])).
% 58.08/9.41 tff(f106096,plain,(
% 58.08/9.41 spl5880_4581 <=> ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),sK4279(X0,X1,X2)) = X2 | finite_finite(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4581])])).
% 58.08/9.41 tff(f60362,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (aa(set(X0),nat,finite_card(X0),sK4279(X0,X1,X2)) = X2 | finite_finite(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42848])).
% 58.08/9.41 tff(f42848,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0),X2 : nat] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),sK4279(X0,X1,X2)),X1)) & aa(set(X0),nat,finite_card(X0),sK4279(X0,X1,X2)) = X2 & finite_finite(X0,sK4279(X0,X1,X2))) | finite_finite(X0,X1))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4279])],[f34999,f42847])).
% 58.08/9.41 tff(f42847,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & aa(set(X0),nat,finite_card(X0),X3) = X2 & finite_finite(X0,X3)) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),sK4279(X0,X1,X2)),X1)) & aa(set(X0),nat,finite_card(X0),sK4279(X0,X1,X2)) = X2 & finite_finite(X0,sK4279(X0,X1,X2))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f34999,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & aa(set(X0),nat,finite_card(X0),X3) = X2 & finite_finite(X0,X3)) | finite_finite(X0,X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f17256])).
% 58.08/9.41 tff(f17256,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (~finite_finite(X0,X1) => ? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & aa(set(X0),nat,finite_card(X0),X3) = X2 & finite_finite(X0,X3)))),
% 58.08/9.41 inference(fool_elimination,[],[f17255])).
% 58.08/9.41 tff(f17255,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (~finite_finite(X0,X1) => ? [X3 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1) & aa(set(X0),nat,finite_card(X0),X3) = X2 & finite_finite(X0,X3)))),
% 58.08/9.41 inference(rectify,[],[f5349])).
% 58.08/9.41 tff(f5349,axiom,(
% 58.08/9.41 ! [X0 : $tType,X27 : set(X0),X8 : nat] : (~finite_finite(X0,X27) => ? [X262 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X262),X27) & aa(set(X0),nat,finite_card(X0),X262) = X8 & finite_finite(X0,X262)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5348_infinite__arbitrarily__large)).
% 58.08/9.41 tff(f106094,plain,(
% 58.08/9.41 spl5880_4580),
% 58.08/9.41 inference(avatar_split_clause,[],[f60277,f106092])).
% 58.08/9.41 tff(f106092,plain,(
% 58.08/9.41 spl5880_4580 <=> ! [X2 : nat,X0 : $o,X1 : $o] : none(nat) = vEBT_vebt_succ(vEBT_Leaf(bG1034(X0),bG1035(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4580])])).
% 58.08/9.41 tff(f60277,plain,(
% 58.08/9.41 ( ! [X2 : nat,X0 : $o,X1 : $o] : (none(nat) = vEBT_vebt_succ(vEBT_Leaf(bG1034(X0),bG1035(X1)),aa(nat,nat,suc,X2))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f17216])).
% 58.08/9.41 tff(f17216,plain,(
% 58.08/9.41 ! [X0 : $o,X1 : $o,X2 : nat] : none(nat) = vEBT_vebt_succ(vEBT_Leaf(bG1034(X0),bG1035(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.41 inference(fool_elimination,[],[f17213,f17215,f17214])).
% 58.08/9.41 tff(f17214,plain,(
% 58.08/9.41 ! [X0 : $o] : (($true = X0) <=> ($true = bG1034(X0)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG1034])])).
% 58.08/9.41 tff(f17215,plain,(
% 58.08/9.41 ! [X1 : $o] : (($true = X1) <=> ($true = bG1035(X1)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG1035])])).
% 58.08/9.41 tff(f17213,plain,(
% 58.08/9.41 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_vebt_succ(vEBT_Leaf(X0,X1),aa(nat,nat,suc,X2)) = none(nat)),
% 58.08/9.41 inference(rectify,[],[f1282])).
% 58.08/9.41 tff(f1282,axiom,(
% 58.08/9.41 ! [X109 : $o,X110 : $o,X8 : nat] : vEBT_vebt_succ(vEBT_Leaf(X109,X110),aa(nat,nat,suc,X8)) = none(nat)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1281_vebt__succ_Osimps_I2_J)).
% 58.08/9.41 tff(f106090,plain,(
% 58.08/9.41 spl5880_4579),
% 58.08/9.41 inference(avatar_split_clause,[],[f60067,f106088])).
% 58.08/9.41 tff(f106088,plain,(
% 58.08/9.41 spl5880_4579 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : none(X1) = aa(option(X0),option(X1),map_option(X0,X1,X2),none(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4579])])).
% 58.08/9.41 tff(f60067,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : (none(X1) = aa(option(X0),option(X1),map_option(X0,X1,X2),none(X0))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f26300])).
% 58.08/9.41 tff(f26300,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,X1)] : none(X1) = aa(option(X0),option(X1),map_option(X0,X1,X2),none(X0))),
% 58.08/9.41 inference(rectify,[],[f7506])).
% 58.08/9.41 tff(f7506,axiom,(
% 58.08/9.41 ! [X1 : $tType,X0 : $tType,X30 : fun(X1,X0)] : none(X0) = aa(option(X1),option(X0),map_option(X1,X0,X30),none(X1))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7505_option_Osimps_I8_J)).
% 58.08/9.41 tff(f106086,plain,(
% 58.08/9.41 spl5880_4578),
% 58.08/9.41 inference(avatar_split_clause,[],[f59284,f106084])).
% 58.08/9.41 tff(f106084,plain,(
% 58.08/9.41 spl5880_4578 <=> ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : (zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1) | ~ratrel(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4578])])).
% 58.08/9.41 tff(f59284,plain,(
% 58.08/9.41 ( ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : (zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1) | ~ratrel(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42299])).
% 58.08/9.41 tff(f42299,plain,(
% 58.08/9.41 ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : ((ratrel(X0,X1) | aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X0)),aa(product_prod(int,int),int,product_snd(int,int),X1)) != aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X1)),aa(product_prod(int,int),int,product_snd(int,int),X0)) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X1) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0)) & ((aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X0)),aa(product_prod(int,int),int,product_snd(int,int),X1)) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X1)),aa(product_prod(int,int),int,product_snd(int,int),X0)) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0)) | ~ratrel(X0,X1)))),
% 58.08/9.41 inference(flattening,[],[f42298])).
% 58.08/9.41 tff(f42298,plain,(
% 58.08/9.41 ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : ((ratrel(X0,X1) | (aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X0)),aa(product_prod(int,int),int,product_snd(int,int),X1)) != aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X1)),aa(product_prod(int,int),int,product_snd(int,int),X0)) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X1) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0))) & ((aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X0)),aa(product_prod(int,int),int,product_snd(int,int),X1)) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X1)),aa(product_prod(int,int),int,product_snd(int,int),X0)) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0)) | ~ratrel(X0,X1)))),
% 58.08/9.41 inference(nnf_transformation,[],[f26199])).
% 58.08/9.41 tff(f26199,plain,(
% 58.08/9.41 ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : (ratrel(X0,X1) <=> (aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X0)),aa(product_prod(int,int),int,product_snd(int,int),X1)) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X1)),aa(product_prod(int,int),int,product_snd(int,int),X0)) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0)))),
% 58.08/9.41 inference(rectify,[],[f7779])).
% 58.08/9.41 tff(f7779,axiom,(
% 58.08/9.41 ! [X9 : product_prod(int,int),X18 : product_prod(int,int)] : (ratrel(X9,X18) <=> (aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X9)),aa(product_prod(int,int),int,product_snd(int,int),X18)) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_fst(int,int),X18)),aa(product_prod(int,int),int,product_snd(int,int),X9)) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X18) & zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7778_ratrel__iff)).
% 58.08/9.41 tff(f106082,plain,(
% 58.08/9.41 spl5880_4577),
% 58.08/9.41 inference(avatar_split_clause,[],[f59283,f106080])).
% 58.08/9.41 tff(f106080,plain,(
% 58.08/9.41 spl5880_4577 <=> ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : (zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0) | ~ratrel(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4577])])).
% 58.08/9.41 tff(f59283,plain,(
% 58.08/9.41 ( ! [X0 : product_prod(int,int),X1 : product_prod(int,int)] : (zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0) | ~ratrel(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42299])).
% 58.08/9.41 tff(f106078,plain,(
% 58.08/9.41 spl5880_4576),
% 58.08/9.41 inference(avatar_split_clause,[],[f58817,f106076])).
% 58.08/9.41 tff(f106076,plain,(
% 58.08/9.41 spl5880_4576 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4036(X0))))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4576])])).
% 58.08/9.41 tff(f58817,plain,(
% 58.08/9.41 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4036(X0)))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42111])).
% 58.08/9.41 tff(f42111,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | (($true != aa(nat,$o,X0,sK4036(X0))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),sK4036(X0))))))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4036])],[f34422,f42110])).
% 58.08/9.41 tff(f42110,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)))) => (($true != aa(nat,$o,X0,sK4036(X0))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),sK4036(X0))))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f34422,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)))))),
% 58.08/9.41 inference(ennf_transformation,[],[f15839])).
% 58.08/9.41 tff(f15839,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)) => ($true = aa(nat,$o,X0,X3))) => ($true = aa(nat,$o,X0,X2))) => ($true = aa(nat,$o,X0,X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f15838])).
% 58.08/9.41 tff(f15838,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2) => aa(nat,$o,X0,X3)) => aa(nat,$o,X0,X2)) => aa(nat,$o,X0,X1))),
% 58.08/9.41 inference(rectify,[],[f226])).
% 58.08/9.41 tff(f226,axiom,(
% 58.08/9.41 ! [X26 : fun(nat,$o),X8 : nat] : (! [X34 : nat] : (! [X54 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,suc,X54)),X34) => aa(nat,$o,X26,X54)) => aa(nat,$o,X26,X34)) => aa(nat,$o,X26,X8))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_full__nat__induct)).
% 58.08/9.41 tff(f106074,plain,(
% 58.08/9.41 spl5880_4575),
% 58.08/9.41 inference(avatar_split_clause,[],[f58815,f106072])).
% 58.08/9.41 tff(f106072,plain,(
% 58.08/9.41 spl5880_4575 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4035(X0))))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4575])])).
% 58.08/9.41 tff(f58815,plain,(
% 58.08/9.41 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4035(X0)))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42109])).
% 58.08/9.41 tff(f42109,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | (($true != aa(nat,$o,X0,sK4035(X0))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK4035(X0))))))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4035])],[f34421,f42108])).
% 58.08/9.41 tff(f42108,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))) => (($true != aa(nat,$o,X0,sK4035(X0))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK4035(X0))))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f34421,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))))),
% 58.08/9.41 inference(ennf_transformation,[],[f15837])).
% 58.08/9.41 tff(f15837,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => ($true = aa(nat,$o,X0,X3))) => ($true = aa(nat,$o,X0,X2))) => ($true = aa(nat,$o,X0,X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f15836])).
% 58.08/9.41 tff(f15836,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2) => aa(nat,$o,X0,X3)) => aa(nat,$o,X0,X2)) => aa(nat,$o,X0,X1))),
% 58.08/9.41 inference(rectify,[],[f142])).
% 58.08/9.41 tff(f142,axiom,(
% 58.08/9.41 ! [X26 : fun(nat,$o),X8 : nat] : (! [X34 : nat] : (! [X54 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X54),X34) => aa(nat,$o,X26,X54)) => aa(nat,$o,X26,X34)) => aa(nat,$o,X26,X8))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_nat__less__induct)).
% 58.08/9.41 tff(f106070,plain,(
% 58.08/9.41 spl5880_4574),
% 58.08/9.41 inference(avatar_split_clause,[],[f58813,f106068])).
% 58.08/9.41 tff(f106068,plain,(
% 58.08/9.41 spl5880_4574 <=> ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (($true = aa(extended_enat,$o,X0,X1)) | ($true != aa(extended_enat,$o,X0,sK4034(X0))))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4574])])).
% 58.08/9.41 tff(f58813,plain,(
% 58.08/9.41 ( ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (($true = aa(extended_enat,$o,X0,X1)) | ($true != aa(extended_enat,$o,X0,sK4034(X0)))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42107])).
% 58.08/9.41 tff(f42107,plain,(
% 58.08/9.41 ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (($true = aa(extended_enat,$o,X0,X1)) | (($true != aa(extended_enat,$o,X0,sK4034(X0))) & ! [X3 : extended_enat] : (($true = aa(extended_enat,$o,X0,X3)) | ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),sK4034(X0))))))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4034])],[f34420,f42106])).
% 58.08/9.41 tff(f42106,plain,(
% 58.08/9.41 ! [X0 : fun(extended_enat,$o)] : (? [X2 : extended_enat] : (($true != aa(extended_enat,$o,X0,X2)) & ! [X3 : extended_enat] : (($true = aa(extended_enat,$o,X0,X3)) | ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),X2)))) => (($true != aa(extended_enat,$o,X0,sK4034(X0))) & ! [X3 : extended_enat] : (($true = aa(extended_enat,$o,X0,X3)) | ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),sK4034(X0))))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f34420,plain,(
% 58.08/9.41 ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (($true = aa(extended_enat,$o,X0,X1)) | ? [X2 : extended_enat] : (($true != aa(extended_enat,$o,X0,X2)) & ! [X3 : extended_enat] : (($true = aa(extended_enat,$o,X0,X3)) | ($true != aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),X2)))))),
% 58.08/9.41 inference(ennf_transformation,[],[f15835])).
% 58.08/9.41 tff(f15835,plain,(
% 58.08/9.41 ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (! [X2 : extended_enat] : (! [X3 : extended_enat] : (($true = aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),X2)) => ($true = aa(extended_enat,$o,X0,X3))) => ($true = aa(extended_enat,$o,X0,X2))) => ($true = aa(extended_enat,$o,X0,X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f15834])).
% 58.08/9.41 tff(f15834,plain,(
% 58.08/9.41 ! [X0 : fun(extended_enat,$o),X1 : extended_enat] : (! [X2 : extended_enat] : (! [X3 : extended_enat] : (aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X3),X2) => aa(extended_enat,$o,X0,X3)) => aa(extended_enat,$o,X0,X2)) => aa(extended_enat,$o,X0,X1))),
% 58.08/9.41 inference(rectify,[],[f200])).
% 58.08/9.41 tff(f200,axiom,(
% 58.08/9.41 ! [X26 : fun(extended_enat,$o),X8 : extended_enat] : (! [X34 : extended_enat] : (! [X54 : extended_enat] : (aa(extended_enat,$o,aa(extended_enat,fun(extended_enat,$o),ord_less(extended_enat),X54),X34) => aa(extended_enat,$o,X26,X54)) => aa(extended_enat,$o,X26,X34)) => aa(extended_enat,$o,X26,X8))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_enat__less__induct)).
% 58.08/9.41 tff(f106065,plain,(
% 58.08/9.41 ~spl5880_4389 | spl5880_4134 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105521,f103044,f102999,f104183])).
% 58.08/9.41 tff(f104183,plain,(
% 58.08/9.41 spl5880_4389 <=> iG271 = iG289),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4389])])).
% 58.08/9.41 tff(f102999,plain,(
% 58.08/9.41 spl5880_4134 <=> iG289 = iG714($true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4134])])).
% 58.08/9.41 tff(f105521,plain,(
% 58.08/9.41 iG271 != iG289 | (spl5880_4134 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f103001,f103045])).
% 58.08/9.41 tff(f103001,plain,(
% 58.08/9.41 iG289 != iG714($true) | spl5880_4134),
% 58.08/9.41 inference(avatar_component_clause,[],[f102999])).
% 58.08/9.41 tff(f106064,plain,(
% 58.08/9.41 spl5880_4573),
% 58.08/9.41 inference(avatar_split_clause,[],[f58810,f106062])).
% 58.08/9.41 tff(f106062,plain,(
% 58.08/9.41 spl5880_4573 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4033(X0))))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4573])])).
% 58.08/9.41 tff(f58810,plain,(
% 58.08/9.41 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ($true != aa(nat,$o,X0,sK4033(X0)))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f42105])).
% 58.08/9.41 tff(f42105,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK4033(X0)))) & ($true != aa(nat,$o,X0,sK4033(X0)))))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4033])],[f34419,f42104])).
% 58.08/9.41 tff(f42104,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o)] : (? [X2 : nat] : (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) & ($true != aa(nat,$o,X0,X2))) => (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK4033(X0)))) & ($true != aa(nat,$o,X0,sK4033(X0)))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f34419,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,X1)) | ? [X2 : nat] : (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) & ($true != aa(nat,$o,X0,X2))))),
% 58.08/9.41 inference(ennf_transformation,[],[f26187])).
% 58.08/9.41 tff(f26187,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (($true != aa(nat,$o,X0,X2)) => ? [X3 : nat] : (($true != aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))) => ($true = aa(nat,$o,X0,X1)))),
% 58.08/9.41 inference(flattening,[],[f15833])).
% 58.08/9.41 tff(f15833,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (~($true = aa(nat,$o,X0,X2)) => ? [X3 : nat] : (~($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))) => ($true = aa(nat,$o,X0,X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f15832])).
% 58.08/9.41 tff(f15832,plain,(
% 58.08/9.41 ! [X0 : fun(nat,$o),X1 : nat] : (! [X2 : nat] : (~aa(nat,$o,X0,X2) => ? [X3 : nat] : (~aa(nat,$o,X0,X3) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) => aa(nat,$o,X0,X1))),
% 58.08/9.41 inference(rectify,[],[f141])).
% 58.08/9.41 tff(f141,axiom,(
% 58.08/9.41 ! [X26 : fun(nat,$o),X8 : nat] : (! [X34 : nat] : (~aa(nat,$o,X26,X34) => ? [X54 : nat] : (~aa(nat,$o,X26,X54) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X54),X34))) => aa(nat,$o,X26,X8))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_infinite__descent)).
% 58.08/9.41 tff(f106060,plain,(
% 58.08/9.41 spl5880_4572),
% 58.08/9.41 inference(avatar_split_clause,[],[f58219,f106058])).
% 58.08/9.41 tff(f106058,plain,(
% 58.08/9.41 spl5880_4572 <=> ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_ew(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4572])])).
% 58.08/9.41 tff(f58219,plain,(
% 58.08/9.41 ( ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_ew(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f33825])).
% 58.08/9.41 tff(f33825,plain,(
% 58.08/9.41 ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_ew(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f25979])).
% 58.08/9.41 tff(f25979,plain,(
% 58.08/9.41 ! [X0 : fun(nat,real),X1 : real] : (sums(real,X0,X1) => sums(real,aTP_Lamp_ew(fun(nat,real),fun(nat,real),X0),X1))),
% 58.08/9.41 inference(rectify,[],[f3851])).
% 58.08/9.41 tff(f3851,axiom,(
% 58.08/9.41 ! [X31 : fun(nat,real),X9 : real] : (sums(real,X31,X9) => sums(real,aTP_Lamp_ew(fun(nat,real),fun(nat,real),X31),X9))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3850_sums__if_H)).
% 58.08/9.41 tff(f106054,plain,(
% 58.08/9.41 spl5880_4570 | spl5880_4571),
% 58.08/9.41 inference(avatar_split_clause,[],[f58144,f106051,f106048])).
% 58.08/9.41 tff(f106048,plain,(
% 58.08/9.41 spl5880_4570 <=> ! [X0 : nat,X1 : list(nat)] : ~sP2043(X0,X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4570])])).
% 58.08/9.41 tff(f106051,plain,(
% 58.08/9.41 spl5880_4571 <=> (aa(list(nat),$o,accp(list(nat),nat_list_encode_rel),nil(nat)) = $true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4571])])).
% 58.08/9.41 tff(f58144,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : list(nat)] : ((aa(list(nat),$o,accp(list(nat),nat_list_encode_rel),nil(nat)) = $true) | ~sP2043(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f41625])).
% 58.08/9.41 tff(f41625,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : list(nat)] : (((aa(list(nat),$o,accp(list(nat),nat_list_encode_rel),nil(nat)) = $true) & zero_zero(nat) = X0 & nil(nat) = X1) | ~sP2043(X0,X1))),
% 58.08/9.41 inference(rectify,[],[f41624])).
% 58.08/9.41 tff(f41624,plain,(
% 58.08/9.41 ! [X1 : nat,X0 : list(nat)] : (((aa(list(nat),$o,accp(list(nat),nat_list_encode_rel),nil(nat)) = $true) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP2043(X1,X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37272])).
% 58.08/9.41 tff(f37272,plain,(
% 58.08/9.41 ! [X1 : nat,X0 : list(nat)] : (((aa(list(nat),$o,accp(list(nat),nat_list_encode_rel),nil(nat)) = $true) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP2043(X1,X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2043])])).
% 58.08/9.41 tff(f106046,plain,(
% 58.08/9.41 spl5880_4569),
% 58.08/9.41 inference(avatar_split_clause,[],[f57979,f106044])).
% 58.08/9.41 tff(f106044,plain,(
% 58.08/9.41 spl5880_4569 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2026(X1,X0) | vEBT_Leaf(bG828(sK3632(X0)),bG829(sK3633(X0))) = X0 | ~vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4569])])).
% 58.08/9.41 tff(f57979,plain,(
% 58.08/9.41 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2026(X1,X0) | vEBT_Leaf(bG828(sK3632(X0)),bG829(sK3633(X0))) = X0 | ~vEBT_VEBT_valid(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f41508])).
% 58.08/9.41 tff(f41508,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (sP2026(X1,X0) | (one_one(nat) = X1 & vEBT_Leaf(bG828(sK3632(X0)),bG829(sK3633(X0))) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3632,sK3633])],[f37248,f41507])).
% 58.08/9.41 tff(f41507,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0 => vEBT_Leaf(bG828(sK3632(X0)),bG829(sK3633(X0))) = X0)),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f37248,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (sP2026(X1,X0) | (one_one(nat) = X1 & ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(definition_folding,[],[f33729,f37247])).
% 58.08/9.41 tff(f33729,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),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))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG830(X5)) | ~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 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(flattening,[],[f33728])).
% 58.08/9.41 tff(f33728,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),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))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,lG830(X5)) | ~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 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0)) | ~vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f25941])).
% 58.08/9.41 tff(f25941,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0 => one_one(nat) != X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ~(($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),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))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X8,lG830(X5))) & X1 = X5))))),
% 58.08/9.41 inference(flattening,[],[f25940])).
% 58.08/9.41 tff(f25940,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0 => one_one(nat) != X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ~((($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),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))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X8,lG830(X5)))) & X1 = X5))))),
% 58.08/9.41 inference(rectify,[],[f15371])).
% 58.08/9.41 tff(f15371,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG828(X2),bG829(X3)) = X0 => one_one(nat) != X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ~((($true = case_option($o,product_prod(nat,nat),bG832(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG830(X5)),lG831(X5))),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))),lG831(X5)) & vEBT_VEBT_valid(X7,lG831(X5)) & ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X11,lG830(X5)))) & X1 = X5))))),
% 58.08/9.41 inference(fool_elimination,[],[f15365,f15370,f15369,f15368,f15367,f15366])).
% 58.08/9.41 tff(f15366,plain,(
% 58.08/9.41 ! [X2 : $o] : (($true = X2) <=> ($true = bG828(X2)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG828])])).
% 58.08/9.41 tff(f15367,plain,(
% 58.08/9.41 ! [X3 : $o] : (($true = X3) <=> ($true = bG829(X3)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG829])])).
% 58.08/9.41 tff(f15368,plain,(
% 58.08/9.41 ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG830(X5)),
% 58.08/9.41 introduced(fool_let_definition,[new_symbols(definition,[lG830])])).
% 58.08/9.41 tff(f15369,plain,(
% 58.08/9.41 ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG830(X5)) = lG831(X5)),
% 58.08/9.41 introduced(fool_let_definition,[new_symbols(definition,[lG831])])).
% 58.08/9.41 tff(f15370,plain,(
% 58.08/9.41 ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG832(X6,X7)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG832])])).
% 58.08/9.41 tff(f15365,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => ((? [X2,X3] : X0 = vEBT_Leaf(X2,X3) => 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 => ~($let(n250: nat, n250 := divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2251: nat, m2251 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),n250), case_option($o,product_prod(nat,nat),! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9)) & ~? [X10 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),n250),m2251)),X4) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2251) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) & vEBT_VEBT_valid(X7,m2251) & ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X11,n250)))) & X1 = X5))))),
% 58.08/9.41 inference(rectify,[],[f7399])).
% 58.08/9.41 tff(f7399,axiom,(
% 58.08/9.41 ! [X9 : vEBT_VEBT,X111 : nat] : (vEBT_VEBT_valid(X9,X111) => ((? [X115 : $o,X116 : $o] : X9 = vEBT_Leaf(X115,X116) => one_one(nat) != X111) => ~! [X147 : option(product_prod(nat,nat)),X132 : nat,X62 : list(vEBT_VEBT),X133 : vEBT_VEBT] : (vEBT_Node(X147,X132,X62,X133) = X9 => ~($let(n250: nat, n250 := divide_divide(nat,X132,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2251: nat, m2251 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X132),n250), case_option($o,product_prod(nat,nat),! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X62)) => ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X341)) & ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X133),X341),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X132),X62),X133),n250),m2251)),X147) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X62) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2251) & vEBT_VEBT_valid(X133,m2251) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X62)) => vEBT_VEBT_valid(X65,n250)))) & X111 = X132))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7398_VEBT__internal_Ovalid_H_Oelims_I2_J)).
% 58.08/9.41 tff(f106042,plain,(
% 58.08/9.41 spl5880_4568),
% 58.08/9.41 inference(avatar_split_clause,[],[f57914,f106040])).
% 58.08/9.41 tff(f106040,plain,(
% 58.08/9.41 spl5880_4568 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2017(X1,X0) | vEBT_Leaf(bG788(sK3561(X0)),bG789(sK3562(X0))) = X0 | vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4568])])).
% 58.08/9.41 tff(f57914,plain,(
% 58.08/9.41 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2017(X1,X0) | vEBT_Leaf(bG788(sK3561(X0)),bG789(sK3562(X0))) = X0 | vEBT_VEBT_valid(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f41430])).
% 58.08/9.41 tff(f41430,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (sP2017(X1,X0) | (one_one(nat) != X1 & vEBT_Leaf(bG788(sK3561(X0)),bG789(sK3562(X0))) = X0) | vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3561,sK3562])],[f37234,f41429])).
% 58.08/9.41 tff(f41429,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0 => vEBT_Leaf(bG788(sK3561(X0)),bG789(sK3562(X0))) = X0)),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f37234,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (sP2017(X1,X0) | (one_one(nat) != X1 & ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0) | vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(definition_folding,[],[f33698,f37233])).
% 58.08/9.41 tff(f33698,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) | ~vEBT_VEBT_valid(X7,lG791(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG790(X5)) & 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 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0) | vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(flattening,[],[f33697])).
% 58.08/9.41 tff(f33697,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((($true != case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) | ~vEBT_VEBT_valid(X7,lG791(X5)) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,lG790(X5)) & 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 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0)) | vEBT_VEBT_valid(X0,X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f25931])).
% 58.08/9.41 tff(f25931,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0 => one_one(nat) = X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => (($true = case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) & vEBT_VEBT_valid(X7,lG791(X5)) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X8,lG790(X5))) & X1 = X5))))),
% 58.08/9.41 inference(flattening,[],[f25930])).
% 58.08/9.41 tff(f25930,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0 => one_one(nat) = X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ((($true = case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) & vEBT_VEBT_valid(X7,lG791(X5)) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X8,lG790(X5)))) & X1 = X5))))),
% 58.08/9.41 inference(rectify,[],[f15305])).
% 58.08/9.41 tff(f15305,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_valid(X0,X1) => ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG788(X2),bG789(X3)) = X0 => one_one(nat) = X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ((($true = case_option($o,product_prod(nat,nat),bG792(X6,X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),lG790(X5)),lG791(X5))),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))),lG791(X5)) & vEBT_VEBT_valid(X7,lG791(X5)) & ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X11,lG790(X5)))) & X1 = X5))))),
% 58.08/9.41 inference(fool_elimination,[],[f15299,f15304,f15303,f15302,f15301,f15300])).
% 58.08/9.41 tff(f15300,plain,(
% 58.08/9.41 ! [X2 : $o] : (($true = X2) <=> ($true = bG788(X2)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG788])])).
% 58.08/9.41 tff(f15301,plain,(
% 58.08/9.41 ! [X3 : $o] : (($true = X3) <=> ($true = bG789(X3)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG789])])).
% 58.08/9.41 tff(f15302,plain,(
% 58.08/9.41 ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG790(X5)),
% 58.08/9.41 introduced(fool_let_definition,[new_symbols(definition,[lG790])])).
% 58.08/9.41 tff(f15303,plain,(
% 58.08/9.41 ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG790(X5)) = lG791(X5)),
% 58.08/9.41 introduced(fool_let_definition,[new_symbols(definition,[lG791])])).
% 58.08/9.41 tff(f15304,plain,(
% 58.08/9.41 ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG792(X6,X7)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG792])])).
% 58.08/9.41 tff(f15299,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_valid(X0,X1) => ((? [X2,X3] : X0 = vEBT_Leaf(X2,X3) => 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 => ($let(n254: nat, n254 := divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2255: nat, m2255 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),n254), case_option($o,product_prod(nat,nat),! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9)) & ~? [X10 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X5),X6),X7),n254),m2255)),X4) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2255) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) & vEBT_VEBT_valid(X7,m2255) & ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => vEBT_VEBT_valid(X11,n254)))) & X1 = X5))))),
% 58.08/9.41 inference(rectify,[],[f7414])).
% 58.08/9.41 tff(f7414,axiom,(
% 58.08/9.41 ! [X9 : vEBT_VEBT,X111 : nat] : (~vEBT_VEBT_valid(X9,X111) => ((? [X115 : $o,X116 : $o] : X9 = vEBT_Leaf(X115,X116) => one_one(nat) = X111) => ~! [X147 : option(product_prod(nat,nat)),X132 : nat,X62 : list(vEBT_VEBT),X133 : vEBT_VEBT] : (vEBT_Node(X147,X132,X62,X133) = X9 => ($let(n254: nat, n254 := divide_divide(nat,X132,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2255: nat, m2255 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X132),n254), case_option($o,product_prod(nat,nat),! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X62)) => ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X341)) & ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X133),X341),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X132),X62),X133),n254),m2255)),X147) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X62) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2255) & vEBT_VEBT_valid(X133,m2255) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X62)) => vEBT_VEBT_valid(X65,n254)))) & X111 = X132))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7413_VEBT__internal_Ovalid_H_Oelims_I3_J)).
% 58.08/9.41 tff(f106038,plain,(
% 58.08/9.41 spl5880_4567),
% 58.08/9.41 inference(avatar_split_clause,[],[f57720,f106036])).
% 58.08/9.41 tff(f106036,plain,(
% 58.08/9.41 spl5880_4567 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK3506(X1,X2,X0,X3,X4),X3) | ~sP2011(X1,X2,X0,X3,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4567])])).
% 58.08/9.41 tff(f57720,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1),X4 : set(X2)] : (member(X2,sK3506(X1,X2,X0,X3,X4),X3) | ~sP2011(X1,X2,X0,X3,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f41298])).
% 58.08/9.41 tff(f41298,plain,(
% 58.08/9.41 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2),X4 : set(X2)] : ((one_one(X1) != aa(X2,X1,X0,sK3506(X1,X2,X0,X3,X4)) & member(X2,sK3506(X1,X2,X0,X3,X4),X3) & member(X2,sK3506(X1,X2,X0,X3,X4),X4)) | ~sP2011(X1,X2,X0,X3,X4))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3506])],[f41296,f41297])).
% 58.08/9.41 tff(f41297,plain,(
% 58.08/9.41 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2),X4 : set(X2)] : (? [X5 : X2] : (one_one(X1) != aa(X2,X1,X0,X5) & member(X2,X5,X3) & member(X2,X5,X4)) => (one_one(X1) != aa(X2,X1,X0,sK3506(X1,X2,X0,X3,X4)) & member(X2,sK3506(X1,X2,X0,X3,X4),X3) & member(X2,sK3506(X1,X2,X0,X3,X4),X4)))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f41296,plain,(
% 58.08/9.41 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2),X4 : set(X2)] : (? [X5 : X2] : (one_one(X1) != aa(X2,X1,X0,X5) & member(X2,X5,X3) & member(X2,X5,X4)) | ~sP2011(X1,X2,X0,X3,X4))),
% 58.08/9.41 inference(rectify,[],[f41295])).
% 58.08/9.41 tff(f41295,plain,(
% 58.08/9.41 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X6 : set(X1),X5 : set(X1)] : (? [X7 : X1] : (one_one(X0) != aa(X1,X0,X3,X7) & member(X1,X7,X6) & member(X1,X7,X5)) | ~sP2011(X0,X1,X3,X6,X5))),
% 58.08/9.41 inference(nnf_transformation,[],[f37222])).
% 58.08/9.41 tff(f37222,plain,(
% 58.08/9.41 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X6 : set(X1),X5 : set(X1)] : (? [X7 : X1] : (one_one(X0) != aa(X1,X0,X3,X7) & member(X1,X7,X6) & member(X1,X7,X5)) | ~sP2011(X0,X1,X3,X6,X5))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2011])])).
% 58.08/9.41 tff(f106034,plain,(
% 58.08/9.41 spl5880_4566),
% 58.08/9.41 inference(avatar_split_clause,[],[f57719,f106032])).
% 58.08/9.41 tff(f106032,plain,(
% 58.08/9.41 spl5880_4566 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK3506(X1,X2,X0,X3,X4),X4) | ~sP2011(X1,X2,X0,X3,X4))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4566])])).
% 58.08/9.41 tff(f57719,plain,(
% 58.08/9.41 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1),X4 : set(X2)] : (member(X2,sK3506(X1,X2,X0,X3,X4),X4) | ~sP2011(X1,X2,X0,X3,X4)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f41298])).
% 58.08/9.41 tff(f106030,plain,(
% 58.08/9.41 spl5880_4565),
% 58.08/9.41 inference(avatar_split_clause,[],[f56730,f106028])).
% 58.08/9.41 tff(f106028,plain,(
% 58.08/9.41 spl5880_4565 <=> ! [X0 : $tType,X1 : X0] : aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X1)) = X1),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4565])])).
% 58.08/9.41 tff(f56730,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X1)) = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f25283])).
% 58.08/9.41 tff(f25283,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0] : aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X1)) = X1),
% 58.08/9.41 inference(rectify,[],[f644])).
% 58.08/9.41 tff(f644,axiom,(
% 58.08/9.41 ! [X0 : $tType,X38 : X0] : aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X38)) = X38),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_643_option_Osel)).
% 58.08/9.41 tff(f106026,plain,(
% 58.08/9.41 spl5880_4564 | ~spl5880_4045 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105510,f103044,f101933,f106023])).
% 58.08/9.41 tff(f105510,plain,(
% 58.08/9.41 iG1477(iG271,$true) | (~spl5880_4045 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101935,f103045])).
% 58.08/9.41 tff(f106021,plain,(
% 58.08/9.41 spl5880_4563),
% 58.08/9.41 inference(avatar_split_clause,[],[f56729,f106019])).
% 58.08/9.41 tff(f106019,plain,(
% 58.08/9.41 spl5880_4563 <=> ! [X0 : nat,X1 : nat] : modulo_modulo(nat,X1,X0) = aa(nat,nat,aTP_Lamp_nm(nat,fun(nat,nat),X0),X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4563])])).
% 58.08/9.41 tff(f56729,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (modulo_modulo(nat,X1,X0) = aa(nat,nat,aTP_Lamp_nm(nat,fun(nat,nat),X0),X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f25282])).
% 58.08/9.41 tff(f25282,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : modulo_modulo(nat,X1,X0) = aa(nat,nat,aTP_Lamp_nm(nat,fun(nat,nat),X0),X1)),
% 58.08/9.41 inference(rectify,[],[f8365])).
% 58.08/9.41 tff(f8365,axiom,(
% 58.08/9.41 ! [X105 : nat,X448 : nat] : aa(nat,nat,aTP_Lamp_nm(nat,fun(nat,nat),X105),X448) = modulo_modulo(nat,X448,X105)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8364_ATP_Olambda__184)).
% 58.08/9.41 tff(f106016,plain,(
% 58.08/9.41 spl5880_4562),
% 58.08/9.41 inference(avatar_split_clause,[],[f56728,f106014])).
% 58.08/9.41 tff(f56728,plain,(
% 58.08/9.41 ( ! [X0 : real,X1 : real] : (powr(real,X1,X0) = aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f25281])).
% 58.08/9.41 tff(f25281,plain,(
% 58.08/9.41 ! [X0 : real,X1 : real] : powr(real,X1,X0) = aa(real,real,aTP_Lamp_oo(real,fun(real,real),X0),X1)),
% 58.08/9.41 inference(rectify,[],[f8385])).
% 58.08/9.41 tff(f8385,axiom,(
% 58.08/9.41 ! [X105 : real,X448 : real] : aa(real,real,aTP_Lamp_oo(real,fun(real,real),X105),X448) = powr(real,X448,X105)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8384_ATP_Olambda__204)).
% 58.08/9.41 tff(f106010,plain,(
% 58.08/9.41 spl5880_4561 | ~spl5880_138 | ~spl5880_4142 | ~spl5880_4560),
% 58.08/9.41 inference(avatar_split_clause,[],[f106006,f106003,f103032,f79133,f106008])).
% 58.08/9.41 tff(f106008,plain,(
% 58.08/9.41 spl5880_4561 <=> ! [X0 : nat,X1 : int] : bit_concat_bit(X0,X1) = bit_concat_bit(X0,iG459(int,X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4561])])).
% 58.08/9.41 tff(f106003,plain,(
% 58.08/9.41 spl5880_4560 <=> ! [X0 : nat,X1 : int] : bit_concat_bit(X0,X1) = bit_concat_bit(X0,aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4560])])).
% 58.08/9.41 tff(f106006,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : int] : (bit_concat_bit(X0,X1) = bit_concat_bit(X0,iG459(int,X0,X1))) ) | (~spl5880_138 | ~spl5880_4142 | ~spl5880_4560)),
% 58.08/9.41 inference(forward_demodulation,[],[f106004,f104440])).
% 58.08/9.41 tff(f106004,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : int] : (bit_concat_bit(X0,X1) = bit_concat_bit(X0,aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1))) ) | ~spl5880_4560),
% 58.08/9.41 inference(avatar_component_clause,[],[f106003])).
% 58.08/9.41 tff(f106005,plain,(
% 58.08/9.41 spl5880_4560),
% 58.08/9.41 inference(avatar_split_clause,[],[f56727,f106003])).
% 58.08/9.41 tff(f56727,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : int] : (bit_concat_bit(X0,X1) = bit_concat_bit(X0,aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f25280])).
% 58.08/9.41 tff(f25280,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : int] : bit_concat_bit(X0,X1) = bit_concat_bit(X0,aa(int,int,bit_se2584673776208193580ke_bit(int,X0),X1))),
% 58.08/9.41 inference(rectify,[],[f2965])).
% 58.08/9.41 tff(f2965,axiom,(
% 58.08/9.41 ! [X8 : nat,X12 : int] : bit_concat_bit(X8,aa(int,int,bit_se2584673776208193580ke_bit(int,X8),X12)) = bit_concat_bit(X8,X12)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2964_concat__bit__take__bit__eq)).
% 58.08/9.41 tff(f106001,plain,(
% 58.08/9.41 spl5880_4559),
% 58.08/9.41 inference(avatar_split_clause,[],[f56726,f105999])).
% 58.08/9.41 tff(f105999,plain,(
% 58.08/9.41 spl5880_4559 <=> ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_abm(X0,fun(nat,nat)),X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4559])])).
% 58.08/9.41 tff(f56726,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (suc = aa(X0,fun(nat,nat),aTP_Lamp_abm(X0,fun(nat,nat)),X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f25279])).
% 58.08/9.41 tff(f25279,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_abm(X0,fun(nat,nat)),X1)),
% 58.08/9.41 inference(rectify,[],[f9043])).
% 58.08/9.41 tff(f9043,axiom,(
% 58.08/9.41 ! [X0 : $tType,X105 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_abm(X0,fun(nat,nat)),X105)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9042_ATP_Olambda__862)).
% 58.08/9.41 tff(f105997,plain,(
% 58.08/9.41 spl5880_4558),
% 58.08/9.41 inference(avatar_split_clause,[],[f56623,f105995])).
% 58.08/9.41 tff(f105995,plain,(
% 58.08/9.41 spl5880_4558 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3378(X0)),pi))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4558])])).
% 58.08/9.41 tff(f56623,plain,(
% 58.08/9.41 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3378(X0)),pi))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40982])).
% 58.08/9.41 tff(f40982,plain,(
% 58.08/9.41 ! [X0 : real] : (cos(real,X0) = cos(real,sK3378(X0)) & sin(real,X0) = sin(real,sK3378(X0)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3378(X0)),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),sK3378(X0))))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3378])],[f14449,f40981])).
% 58.08/9.41 tff(f40981,plain,(
% 58.08/9.41 ! [X0 : real] : (? [X1 : real] : (cos(real,X1) = cos(real,X0) & sin(real,X1) = sin(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X1))) => (cos(real,X0) = cos(real,sK3378(X0)) & sin(real,X0) = sin(real,sK3378(X0)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3378(X0)),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),sK3378(X0)))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f14449,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (cos(real,X1) = cos(real,X0) & sin(real,X1) = sin(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f14448])).
% 58.08/9.41 tff(f14448,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (cos(real,X1) = cos(real,X0) & sin(real,X1) = sin(real,X0) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X1))),
% 58.08/9.41 inference(rectify,[],[f3539])).
% 58.08/9.41 tff(f3539,axiom,(
% 58.08/9.41 ! [X9 : real] : ? [X52 : real] : (cos(real,X9) = cos(real,X52) & sin(real,X9) = sin(real,X52) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X52),pi) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X52))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3538_sincos__principal__value)).
% 58.08/9.41 tff(f105993,plain,(
% 58.08/9.41 spl5880_4557),
% 58.08/9.41 inference(avatar_split_clause,[],[f56621,f105991])).
% 58.08/9.41 tff(f105991,plain,(
% 58.08/9.41 spl5880_4557 <=> ! [X0 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),sK3377(X0)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4557])])).
% 58.08/9.41 tff(f56621,plain,(
% 58.08/9.41 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),sK3377(X0)))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40980])).
% 58.08/9.41 tff(f40980,plain,(
% 58.08/9.41 ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),sK3377(X0))) & member(real,sK3377(X0),field_char_0_Rats(real)))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3377])],[f14447,f40979])).
% 58.08/9.41 tff(f40979,plain,(
% 58.08/9.41 ! [X0 : real] : (? [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) & member(real,X1,field_char_0_Rats(real))) => (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),sK3377(X0))) & member(real,sK3377(X0),field_char_0_Rats(real))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f14447,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) & member(real,X1,field_char_0_Rats(real)))),
% 58.08/9.41 inference(fool_elimination,[],[f14446])).
% 58.08/9.41 tff(f14446,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1) & member(real,X1,field_char_0_Rats(real)))),
% 58.08/9.41 inference(rectify,[],[f7687])).
% 58.08/9.41 tff(f7687,axiom,(
% 58.08/9.41 ! [X9 : real] : ? [X29 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X9),X29) & member(real,X29,field_char_0_Rats(real)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7686_Rats__no__top__le)).
% 58.08/9.41 tff(f105989,plain,(
% 58.08/9.41 spl5880_4556),
% 58.08/9.41 inference(avatar_split_clause,[],[f56619,f105987])).
% 58.08/9.41 tff(f56619,plain,(
% 58.08/9.41 ( ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3376(X0)),X0))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40978])).
% 58.08/9.41 tff(f40978,plain,(
% 58.08/9.41 ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3376(X0)),X0)) & member(real,sK3376(X0),field_char_0_Rats(real)))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3376])],[f14445,f40977])).
% 58.08/9.41 tff(f40977,plain,(
% 58.08/9.41 ! [X0 : real] : (? [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0)) & member(real,X1,field_char_0_Rats(real))) => (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),sK3376(X0)),X0)) & member(real,sK3376(X0),field_char_0_Rats(real))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f14445,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0)) & member(real,X1,field_char_0_Rats(real)))),
% 58.08/9.41 inference(fool_elimination,[],[f14444])).
% 58.08/9.41 tff(f14444,plain,(
% 58.08/9.41 ! [X0 : real] : ? [X1 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0) & member(real,X1,field_char_0_Rats(real)))),
% 58.08/9.41 inference(rectify,[],[f7685])).
% 58.08/9.41 tff(f7685,axiom,(
% 58.08/9.41 ! [X9 : real] : ? [X29 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),X29),X9) & member(real,X29,field_char_0_Rats(real)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7684_Rats__no__bot__less)).
% 58.08/9.41 tff(f105985,plain,(
% 58.08/9.41 spl5880_4555),
% 58.08/9.41 inference(avatar_split_clause,[],[f56526,f105983])).
% 58.08/9.41 tff(f105983,plain,(
% 58.08/9.41 spl5880_4555 <=> ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ($true != aa(real,$o,aTP_Lamp_jk(real,$o),X0)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4555])])).
% 58.08/9.41 tff(f56526,plain,(
% 58.08/9.41 ( ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ($true != aa(real,$o,aTP_Lamp_jk(real,$o),X0))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40938])).
% 58.08/9.41 tff(f40938,plain,(
% 58.08/9.41 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_jk(real,$o),X0)) | zero_zero(real) != cos(real,X0) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))) & ((zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))) | ($true != aa(real,$o,aTP_Lamp_jk(real,$o),X0))))),
% 58.08/9.41 inference(flattening,[],[f40937])).
% 58.08/9.41 tff(f40937,plain,(
% 58.08/9.41 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_jk(real,$o),X0)) | (zero_zero(real) != cos(real,X0) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0)))) & ((zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))) | ($true != aa(real,$o,aTP_Lamp_jk(real,$o),X0))))),
% 58.08/9.41 inference(nnf_transformation,[],[f14313])).
% 58.08/9.41 tff(f14313,plain,(
% 58.08/9.41 ! [X0 : real] : (($true = aa(real,$o,aTP_Lamp_jk(real,$o),X0)) <=> (zero_zero(real) = cos(real,X0) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0))))),
% 58.08/9.41 inference(fool_elimination,[],[f14312])).
% 58.08/9.41 tff(f14312,plain,(
% 58.08/9.41 ! [X0 : real] : (aa(real,$o,aTP_Lamp_jk(real,$o),X0) <=> (zero_zero(real) = cos(real,X0) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X0)))),
% 58.08/9.41 inference(rectify,[],[f8189])).
% 58.08/9.41 tff(f8189,axiom,(
% 58.08/9.41 ! [X105 : real] : (aa(real,$o,aTP_Lamp_jk(real,$o),X105) <=> (zero_zero(real) = cos(real,X105) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X105),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) & aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),zero_zero(real)),X105)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8188_ATP_Olambda__8)).
% 58.08/9.41 tff(f105981,plain,(
% 58.08/9.41 spl5880_4554 | ~spl5880_4040 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105509,f103044,f101891,f105978])).
% 58.08/9.41 tff(f105509,plain,(
% 58.08/9.41 iG1509(iG271,$true) | (~spl5880_4040 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101893,f103045])).
% 58.08/9.41 tff(f105973,plain,(
% 58.08/9.41 spl5880_4553 | ~spl5880_155 | ~spl5880_3606 | ~spl5880_4552),
% 58.08/9.41 inference(avatar_split_clause,[],[f105969,f105966,f99330,f79218,f105971])).
% 58.08/9.41 tff(f105971,plain,(
% 58.08/9.41 spl5880_4553 <=> ! [X0 : real] : (member(real,iG468(real,X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4553])])).
% 58.08/9.41 tff(f79218,plain,(
% 58.08/9.41 spl5880_155 <=> abs_if(real)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_155])])).
% 58.08/9.41 tff(f99330,plain,(
% 58.08/9.41 spl5880_3606 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),X1) = iG468(X0,X1) | ~abs_if(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_3606])])).
% 58.08/9.41 tff(f105966,plain,(
% 58.08/9.41 spl5880_4552 <=> ! [X0 : real] : (member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4552])])).
% 58.08/9.41 tff(f105969,plain,(
% 58.08/9.41 ( ! [X0 : real] : (member(real,iG468(real,X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real))) ) | (~spl5880_155 | ~spl5880_3606 | ~spl5880_4552)),
% 58.08/9.41 inference(forward_demodulation,[],[f105967,f100103])).
% 58.08/9.41 tff(f100103,plain,(
% 58.08/9.41 ( ! [X0 : real] : (aa(real,real,abs_abs(real),X0) = iG468(real,X0)) ) | (~spl5880_155 | ~spl5880_3606)),
% 58.08/9.41 inference(resolution,[],[f99331,f79220])).
% 58.08/9.41 tff(f79220,plain,(
% 58.08/9.41 abs_if(real) | ~spl5880_155),
% 58.08/9.41 inference(avatar_component_clause,[],[f79218])).
% 58.08/9.41 tff(f99331,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (~abs_if(X0) | aa(X0,X0,abs_abs(X0),X1) = iG468(X0,X1)) ) | ~spl5880_3606),
% 58.08/9.41 inference(avatar_component_clause,[],[f99330])).
% 58.08/9.41 tff(f105967,plain,(
% 58.08/9.41 ( ! [X0 : real] : (member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real))) ) | ~spl5880_4552),
% 58.08/9.41 inference(avatar_component_clause,[],[f105966])).
% 58.08/9.41 tff(f105968,plain,(
% 58.08/9.41 spl5880_4552),
% 58.08/9.41 inference(avatar_split_clause,[],[f56487,f105966])).
% 58.08/9.41 tff(f56487,plain,(
% 58.08/9.41 ( ! [X0 : real] : (member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40907])).
% 58.08/9.41 tff(f40907,plain,(
% 58.08/9.41 ! [X0 : real] : ((member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)) | ~member(real,X0,field_char_0_Rats(real))) & (member(real,X0,field_char_0_Rats(real)) | ~member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real))))),
% 58.08/9.41 inference(nnf_transformation,[],[f25209])).
% 58.08/9.41 tff(f25209,plain,(
% 58.08/9.41 ! [X0 : real] : (member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)) <=> member(real,X0,field_char_0_Rats(real)))),
% 58.08/9.41 inference(rectify,[],[f7673])).
% 58.08/9.41 tff(f7673,axiom,(
% 58.08/9.41 ! [X9 : real] : (member(real,aa(real,real,abs_abs(real),X9),field_char_0_Rats(real)) <=> member(real,X9,field_char_0_Rats(real)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7672_Rats__abs__iff)).
% 58.08/9.41 tff(f105961,plain,(
% 58.08/9.41 spl5880_4551 | ~spl5880_155 | ~spl5880_3606 | ~spl5880_4550),
% 58.08/9.41 inference(avatar_split_clause,[],[f105957,f105954,f99330,f79218,f105959])).
% 58.08/9.41 tff(f105959,plain,(
% 58.08/9.41 spl5880_4551 <=> ! [X0 : real] : (~member(real,iG468(real,X0),field_char_0_Rats(real)) | member(real,X0,field_char_0_Rats(real)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4551])])).
% 58.08/9.41 tff(f105954,plain,(
% 58.08/9.41 spl5880_4550 <=> ! [X0 : real] : (member(real,X0,field_char_0_Rats(real)) | ~member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4550])])).
% 58.08/9.41 tff(f105957,plain,(
% 58.08/9.41 ( ! [X0 : real] : (~member(real,iG468(real,X0),field_char_0_Rats(real)) | member(real,X0,field_char_0_Rats(real))) ) | (~spl5880_155 | ~spl5880_3606 | ~spl5880_4550)),
% 58.08/9.41 inference(forward_demodulation,[],[f105955,f100103])).
% 58.08/9.41 tff(f105955,plain,(
% 58.08/9.41 ( ! [X0 : real] : (member(real,X0,field_char_0_Rats(real)) | ~member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real))) ) | ~spl5880_4550),
% 58.08/9.41 inference(avatar_component_clause,[],[f105954])).
% 58.08/9.41 tff(f105956,plain,(
% 58.08/9.41 spl5880_4550),
% 58.08/9.41 inference(avatar_split_clause,[],[f56486,f105954])).
% 58.08/9.41 tff(f56486,plain,(
% 58.08/9.41 ( ! [X0 : real] : (member(real,X0,field_char_0_Rats(real)) | ~member(real,aa(real,real,abs_abs(real),X0),field_char_0_Rats(real))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40907])).
% 58.08/9.41 tff(f105952,plain,(
% 58.08/9.41 spl5880_4549),
% 58.08/9.41 inference(avatar_split_clause,[],[f56028,f105950])).
% 58.08/9.41 tff(f105950,plain,(
% 58.08/9.41 spl5880_4549 <=> ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4549])])).
% 58.08/9.41 tff(f56028,plain,(
% 58.08/9.41 ( ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32738])).
% 58.08/9.41 tff(f32738,plain,(
% 58.08/9.41 ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0))),
% 58.08/9.41 inference(flattening,[],[f32737])).
% 58.08/9.41 tff(f32737,plain,(
% 58.08/9.41 ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | (~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f3396])).
% 58.08/9.41 tff(f3396,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_ring_1(X0)) => summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3395_summable__zero__power)).
% 58.08/9.41 tff(f105948,plain,(
% 58.08/9.41 spl5880_4548),
% 58.08/9.41 inference(avatar_split_clause,[],[f55804,f105946])).
% 58.08/9.41 tff(f105946,plain,(
% 58.08/9.41 spl5880_4548 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4548])])).
% 58.08/9.41 tff(f55804,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32334])).
% 58.08/9.41 tff(f32334,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32333])).
% 58.08/9.41 tff(f32333,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1),exp(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24987])).
% 58.08/9.41 tff(f24987,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1),exp(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4433])).
% 58.08/9.41 tff(f4433,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_iu(X0,fun(nat,X0),X9),exp(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4432_exp__converges)).
% 58.08/9.41 tff(f105944,plain,(
% 58.08/9.41 spl5880_4547),
% 58.08/9.41 inference(avatar_split_clause,[],[f55803,f105942])).
% 58.08/9.41 tff(f105942,plain,(
% 58.08/9.41 spl5880_4547 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4547])])).
% 58.08/9.41 tff(f55803,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32332])).
% 58.08/9.41 tff(f32332,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32331])).
% 58.08/9.41 tff(f32331,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),cos(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24986])).
% 58.08/9.41 tff(f24986,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),cos(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4086])).
% 58.08/9.41 tff(f4086,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X9),cos(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4085_cos__converges)).
% 58.08/9.41 tff(f105940,plain,(
% 58.08/9.41 spl5880_4546),
% 58.08/9.41 inference(avatar_split_clause,[],[f55802,f105938])).
% 58.08/9.41 tff(f105938,plain,(
% 58.08/9.41 spl5880_4546 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4546])])).
% 58.08/9.41 tff(f55802,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32330])).
% 58.08/9.41 tff(f32330,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32329])).
% 58.08/9.41 tff(f32329,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),sin(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24985])).
% 58.08/9.41 tff(f24985,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),sin(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4084])).
% 58.08/9.41 tff(f4084,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X9),sin(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4083_sin__converges)).
% 58.08/9.41 tff(f105936,plain,(
% 58.08/9.41 spl5880_4545 | ~spl5880_4034 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105508,f103044,f101802,f105933])).
% 58.08/9.41 tff(f105508,plain,(
% 58.08/9.41 iG1537(iG271,$true) | (~spl5880_4034 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101804,f103045])).
% 58.08/9.41 tff(f105931,plain,(
% 58.08/9.41 spl5880_4544),
% 58.08/9.41 inference(avatar_split_clause,[],[f55801,f105929])).
% 58.08/9.41 tff(f105929,plain,(
% 58.08/9.41 spl5880_4544 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4544])])).
% 58.08/9.41 tff(f55801,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32328])).
% 58.08/9.41 tff(f32328,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X1),cos(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32327])).
% 58.08/9.41 tff(f32327,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X1),cos(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24984])).
% 58.08/9.41 tff(f24984,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X1),cos(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4095])).
% 58.08/9.41 tff(f4095,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_hg(X0,fun(nat,X0),X9),cos(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4094_cos__minus__converges)).
% 58.08/9.41 tff(f105927,plain,(
% 58.08/9.41 spl5880_4543),
% 58.08/9.41 inference(avatar_split_clause,[],[f55800,f105925])).
% 58.08/9.41 tff(f105925,plain,(
% 58.08/9.41 spl5880_4543 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4543])])).
% 58.08/9.41 tff(f55800,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32326])).
% 58.08/9.41 tff(f32326,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32325])).
% 58.08/9.41 tff(f32325,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X1),sin(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24983])).
% 58.08/9.41 tff(f24983,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X1),sin(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4094])).
% 58.08/9.41 tff(f4094,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_hf(X0,fun(nat,X0),X9),sin(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4093_sin__minus__converges)).
% 58.08/9.41 tff(f105923,plain,(
% 58.08/9.41 spl5880_4542),
% 58.08/9.41 inference(avatar_split_clause,[],[f55799,f105921])).
% 58.08/9.41 tff(f105921,plain,(
% 58.08/9.41 spl5880_4542 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4542])])).
% 58.08/9.41 tff(f55799,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32324])).
% 58.08/9.41 tff(f32324,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32323])).
% 58.08/9.41 tff(f32323,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X1),cosh(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24982])).
% 58.08/9.41 tff(f24982,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X1),cosh(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4453])).
% 58.08/9.41 tff(f4453,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_jd(X0,fun(nat,X0),X9),cosh(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4452_cosh__converges)).
% 58.08/9.41 tff(f105919,plain,(
% 58.08/9.41 spl5880_4541),
% 58.08/9.41 inference(avatar_split_clause,[],[f55798,f105917])).
% 58.08/9.41 tff(f105917,plain,(
% 58.08/9.41 spl5880_4541 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4541])])).
% 58.08/9.41 tff(f55798,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f32322])).
% 58.08/9.41 tff(f32322,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.41 inference(flattening,[],[f32321])).
% 58.08/9.41 tff(f32321,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X1),sinh(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.41 inference(ennf_transformation,[],[f24981])).
% 58.08/9.41 tff(f24981,plain,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X1),sinh(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f4452])).
% 58.08/9.41 tff(f4452,axiom,(
% 58.08/9.41 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : sums(X0,aTP_Lamp_jc(X0,fun(nat,X0),X9),sinh(X0,X9)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4451_sinh__converges)).
% 58.08/9.41 tff(f105915,plain,(
% 58.08/9.41 spl5880_4540),
% 58.08/9.41 inference(avatar_split_clause,[],[f55767,f105913])).
% 58.08/9.41 tff(f105913,plain,(
% 58.08/9.41 spl5880_4540 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1994(X0,X1,X2) | ~sP1995(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4540])])).
% 58.08/9.41 tff(f55767,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1994(X0,X1,X2) | ~sP1995(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40514])).
% 58.08/9.41 tff(f40514,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : ((eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1994(X0,X1,X2)) & (sP1994(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))))) | ~sP1995(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37192])).
% 58.08/9.41 tff(f37192,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> sP1994(X0,X1,X2)) | ~sP1995(X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1995])])).
% 58.08/9.41 tff(f105911,plain,(
% 58.08/9.41 spl5880_4539),
% 58.08/9.41 inference(avatar_split_clause,[],[f55766,f105909])).
% 58.08/9.41 tff(f105909,plain,(
% 58.08/9.41 spl5880_4539 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (sP1994(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1995(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4539])])).
% 58.08/9.41 tff(f55766,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (sP1994(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP1995(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40514])).
% 58.08/9.41 tff(f105907,plain,(
% 58.08/9.41 spl5880_4538),
% 58.08/9.41 inference(avatar_split_clause,[],[f55759,f105905])).
% 58.08/9.41 tff(f105905,plain,(
% 58.08/9.41 spl5880_4538 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP1992(X0,X1,X2) | ~sP1993(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4538])])).
% 58.08/9.41 tff(f55759,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP1992(X0,X1,X2) | ~sP1993(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40508])).
% 58.08/9.41 tff(f40508,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : ((eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP1992(X0,X1,X2)) & (sP1992(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))))) | ~sP1993(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37189])).
% 58.08/9.41 tff(f37189,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> sP1992(X0,X1,X2)) | ~sP1993(X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1993])])).
% 58.08/9.41 tff(f105903,plain,(
% 58.08/9.41 spl5880_4537),
% 58.08/9.41 inference(avatar_split_clause,[],[f55758,f105901])).
% 58.08/9.41 tff(f105901,plain,(
% 58.08/9.41 spl5880_4537 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (sP1992(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP1993(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4537])])).
% 58.08/9.41 tff(f55758,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o)] : (sP1992(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP1993(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f40508])).
% 58.08/9.41 tff(f105899,plain,(
% 58.08/9.41 spl5880_4536),
% 58.08/9.41 inference(avatar_split_clause,[],[f55010,f105897])).
% 58.08/9.41 tff(f105897,plain,(
% 58.08/9.41 spl5880_4536 <=> ! [X0 : $tType,X2 : nat,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),take(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4536])])).
% 58.08/9.41 tff(f55010,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : nat,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),take(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31704])).
% 58.08/9.41 tff(f31704,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0),X2 : nat] : (sorted_wrt(X0,ord_less_eq(X0),take(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24862])).
% 58.08/9.41 tff(f24862,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : nat] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),take(X0,X2,X1))))),
% 58.08/9.41 inference(rectify,[],[f8024])).
% 58.08/9.41 tff(f8024,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0),X8 : nat] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),take(X0,X8,X64))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8023_sorted__take)).
% 58.08/9.41 tff(f105895,plain,(
% 58.08/9.41 spl5880_4535),
% 58.08/9.41 inference(avatar_split_clause,[],[f55008,f105893])).
% 58.08/9.41 tff(f105893,plain,(
% 58.08/9.41 spl5880_4535 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),takeWhile(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4535])])).
% 58.08/9.41 tff(f55008,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),takeWhile(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31702])).
% 58.08/9.41 tff(f31702,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0),X2 : fun(X0,$o)] : (sorted_wrt(X0,ord_less_eq(X0),takeWhile(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24860])).
% 58.08/9.41 tff(f24860,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : fun(X0,$o)] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),takeWhile(X0,X2,X1))))),
% 58.08/9.41 inference(rectify,[],[f8146])).
% 58.08/9.41 tff(f8146,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0),X26 : fun(X0,$o)] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),takeWhile(X0,X26,X64))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8145_sorted__takeWhile)).
% 58.08/9.41 tff(f105891,plain,(
% 58.08/9.41 spl5880_4534 | ~spl5880_4023 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105507,f103044,f101748,f105888])).
% 58.08/9.41 tff(f105507,plain,(
% 58.08/9.41 iG802(iG271,$true) | (~spl5880_4023 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101750,f103045])).
% 58.08/9.41 tff(f105886,plain,(
% 58.08/9.41 spl5880_4533),
% 58.08/9.41 inference(avatar_split_clause,[],[f55007,f105884])).
% 58.08/9.41 tff(f105884,plain,(
% 58.08/9.41 spl5880_4533 <=> ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),nths(X0,X1,X2)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4533])])).
% 58.08/9.41 tff(f55007,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),nths(X0,X1,X2)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31701])).
% 58.08/9.41 tff(f31701,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0),X2 : set(nat)] : (sorted_wrt(X0,ord_less_eq(X0),nths(X0,X1,X2)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24859])).
% 58.08/9.41 tff(f24859,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : set(nat)] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),nths(X0,X1,X2))))),
% 58.08/9.41 inference(rectify,[],[f8059])).
% 58.08/9.41 tff(f8059,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0),X224 : set(nat)] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),nths(X0,X64,X224))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8058_sorted__nths)).
% 58.08/9.41 tff(f105882,plain,(
% 58.08/9.41 spl5880_4532),
% 58.08/9.41 inference(avatar_split_clause,[],[f55006,f105880])).
% 58.08/9.41 tff(f105880,plain,(
% 58.08/9.41 spl5880_4532 <=> ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remove1(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4532])])).
% 58.08/9.41 tff(f55006,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remove1(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31700])).
% 58.08/9.41 tff(f31700,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0),X2 : X0] : (sorted_wrt(X0,ord_less_eq(X0),remove1(X0,X2,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24858])).
% 58.08/9.41 tff(f24858,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : X0] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),remove1(X0,X2,X1))))),
% 58.08/9.41 inference(rectify,[],[f8053])).
% 58.08/9.41 tff(f8053,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0),X11 : X0] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),remove1(X0,X11,X64))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8052_sorted__remove1)).
% 58.08/9.41 tff(f105878,plain,(
% 58.08/9.41 spl5880_4531),
% 58.08/9.41 inference(avatar_split_clause,[],[f54913,f105876])).
% 58.08/9.41 tff(f105876,plain,(
% 58.08/9.41 spl5880_4531 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4531])])).
% 58.08/9.41 tff(f54913,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39993])).
% 58.08/9.41 tff(f39993,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0)] : ((sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) & ((distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sorted_wrt(X0,ord_less(X0),X1))) | ~linorder(X0))),
% 58.08/9.41 inference(flattening,[],[f39992])).
% 58.08/9.41 tff(f39992,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0)] : ((sorted_wrt(X0,ord_less(X0),X1) | (~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1))) & ((distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sorted_wrt(X0,ord_less(X0),X1))) | ~linorder(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f31626])).
% 58.08/9.41 tff(f31626,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) <=> (distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1))) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24841])).
% 58.08/9.41 tff(f24841,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) <=> (distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1))))),
% 58.08/9.41 inference(rectify,[],[f8047])).
% 58.08/9.41 tff(f8047,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => ! [X14 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X14) <=> (distinct(X0,X14) & sorted_wrt(X0,ord_less_eq(X0),X14))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8046_strict__sorted__iff)).
% 58.08/9.41 tff(f105874,plain,(
% 58.08/9.41 spl5880_4530),
% 58.08/9.41 inference(avatar_split_clause,[],[f54878,f105872])).
% 58.08/9.41 tff(f105872,plain,(
% 58.08/9.41 spl5880_4530 <=> ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_abf(X0,X0)) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4530])])).
% 58.08/9.41 tff(f54878,plain,(
% 58.08/9.41 ( ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_abf(X0,X0)) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31599])).
% 58.08/9.41 tff(f31599,plain,(
% 58.08/9.41 ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_abf(X0,X0)) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f8126])).
% 58.08/9.41 tff(f8126,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_abf(X0,X0)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8125_sorted__list__of__set_Ofolding__insort__key__axioms)).
% 58.08/9.41 tff(f105870,plain,(
% 58.08/9.41 spl5880_4529),
% 58.08/9.41 inference(avatar_split_clause,[],[f54877,f105868])).
% 58.08/9.41 tff(f105868,plain,(
% 58.08/9.41 spl5880_4529 <=> ! [X0 : $tType] : (lattic643756798349783984er_Max(X0) = lattices_Min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4529])])).
% 58.08/9.41 tff(f54877,plain,(
% 58.08/9.41 ( ! [X0 : $tType] : (lattic643756798349783984er_Max(X0) = lattices_Min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f31598])).
% 58.08/9.41 tff(f31598,plain,(
% 58.08/9.41 ! [X0 : $tType] : (lattic643756798349783984er_Max(X0) = lattices_Min(X0,aTP_Lamp_kz(X0,fun(X0,$o))) | ~linorder(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f5326])).
% 58.08/9.41 tff(f5326,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linorder(X0) => lattic643756798349783984er_Max(X0) = lattices_Min(X0,aTP_Lamp_kz(X0,fun(X0,$o))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5325_dual__Min)).
% 58.08/9.41 tff(f105866,plain,(
% 58.08/9.41 spl5880_4528),
% 58.08/9.41 inference(avatar_split_clause,[],[f54507,f105864])).
% 58.08/9.41 tff(f105864,plain,(
% 58.08/9.41 spl5880_4528 <=> ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1963(X0,X1,X2) | ($true != aa(X0,$o,X1,zero_zero(X0))) | ($true = X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4528])])).
% 58.08/9.41 tff(f54507,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1963(X0,X1,X2) | ($true != aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39924])).
% 58.08/9.41 tff(f39924,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : ((sP1963(X0,X1,X2) | (($true != aa(X0,$o,X1,zero_zero(X0))) & ($true != X2)) | (($true != aa(X0,$o,X1,one_one(X0))) & ($true = X2))) & (((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))) | ~sP1963(X0,X1,X2)))),
% 58.08/9.41 inference(flattening,[],[f39923])).
% 58.08/9.41 tff(f39923,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : ((sP1963(X0,X1,X2) | ((($true != aa(X0,$o,X1,zero_zero(X0))) & ($true != X2)) | (($true != aa(X0,$o,X1,one_one(X0))) & ($true = X2)))) & (((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))) | ~sP1963(X0,X1,X2)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37143])).
% 58.08/9.41 tff(f37143,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : (sP1963(X0,X1,X2) <=> ((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1963])])).
% 58.08/9.41 tff(f105862,plain,(
% 58.08/9.41 spl5880_4527),
% 58.08/9.41 inference(avatar_split_clause,[],[f54504,f105860])).
% 58.08/9.41 tff(f105860,plain,(
% 58.08/9.41 spl5880_4527 <=> ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2) | ~sP1963(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4527])])).
% 58.08/9.41 tff(f54504,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2) | ~sP1963(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39924])).
% 58.08/9.41 tff(f105858,plain,(
% 58.08/9.41 spl5880_4526),
% 58.08/9.41 inference(avatar_split_clause,[],[f54498,f105856])).
% 58.08/9.41 tff(f105856,plain,(
% 58.08/9.41 spl5880_4526 <=> ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1961(X0,X1,X2) | ($true != aa(X0,$o,X1,zero_zero(X0))) | ($true = X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4526])])).
% 58.08/9.41 tff(f54498,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1961(X0,X1,X2) | ($true != aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39921])).
% 58.08/9.41 tff(f39921,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : ((sP1961(X0,X1,X2) | (($true != aa(X0,$o,X1,zero_zero(X0))) & ($true != X2)) | (($true != aa(X0,$o,X1,one_one(X0))) & ($true = X2))) & (((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))) | ~sP1961(X0,X1,X2)))),
% 58.08/9.41 inference(flattening,[],[f39920])).
% 58.08/9.41 tff(f39920,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : ((sP1961(X0,X1,X2) | ((($true != aa(X0,$o,X1,zero_zero(X0))) & ($true != X2)) | (($true != aa(X0,$o,X1,one_one(X0))) & ($true = X2)))) & (((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))) | ~sP1961(X0,X1,X2)))),
% 58.08/9.41 inference(nnf_transformation,[],[f37140])).
% 58.08/9.41 tff(f37140,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : fun(X0,$o),X2 : $o] : (sP1961(X0,X1,X2) <=> ((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2))))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1961])])).
% 58.08/9.41 tff(f105854,plain,(
% 58.08/9.41 spl5880_4525),
% 58.08/9.41 inference(avatar_split_clause,[],[f54495,f105852])).
% 58.08/9.41 tff(f105852,plain,(
% 58.08/9.41 spl5880_4525 <=> ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2) | ~sP1961(X0,X1,X2))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4525])])).
% 58.08/9.41 tff(f54495,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2) | ~sP1961(X0,X1,X2)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39921])).
% 58.08/9.41 tff(f105850,plain,(
% 58.08/9.41 spl5880_4524),
% 58.08/9.41 inference(avatar_split_clause,[],[f54489,f105848])).
% 58.08/9.41 tff(f105848,plain,(
% 58.08/9.41 spl5880_4524 <=> ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) | ($true = X1) | ~zero_neq_one(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4524])])).
% 58.08/9.41 tff(f54489,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) | ($true = X1) | ~zero_neq_one(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39917])).
% 58.08/9.41 tff(f39917,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : $o] : ((zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) | ($true = X1)) & (($true != X1) | zero_zero(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)))) | ~zero_neq_one(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f31238])).
% 58.08/9.41 tff(f31238,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : $o] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) <=> ($true != X1)) | ~zero_neq_one(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24583])).
% 58.08/9.41 tff(f24583,plain,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) <=> ($true != X1)))),
% 58.08/9.41 inference(flattening,[],[f12580])).
% 58.08/9.41 tff(f12580,plain,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) <=> ~($true = X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f12578,f12579])).
% 58.08/9.41 tff(f12579,plain,(
% 58.08/9.41 ! [X1 : $o] : (($true = X1) <=> ($true = bG505(X1)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG505])])).
% 58.08/9.41 tff(f12578,plain,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X1) = zero_zero(X0) <=> ~X1))),
% 58.08/9.41 inference(rectify,[],[f2243])).
% 58.08/9.41 tff(f2243,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X26 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X26) = zero_zero(X0) <=> ~X26))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2242_of__bool__eq__0__iff)).
% 58.08/9.41 tff(f105846,plain,(
% 58.08/9.41 spl5880_4523 | ~spl5880_4014 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105505,f103044,f101699,f105843])).
% 58.08/9.41 tff(f105505,plain,(
% 58.08/9.41 iG810(iG271,$true) | (~spl5880_4014 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101701,f103045])).
% 58.08/9.41 tff(f105841,plain,(
% 58.08/9.41 spl5880_4522),
% 58.08/9.41 inference(avatar_split_clause,[],[f54486,f105839])).
% 58.08/9.41 tff(f105839,plain,(
% 58.08/9.41 spl5880_4522 <=> ! [X0 : $tType,X1 : $o] : (($true = X1) | one_one(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)) | ~zero_neq_one(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4522])])).
% 58.08/9.41 tff(f54486,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : $o] : (($true = X1) | one_one(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)) | ~zero_neq_one(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39916])).
% 58.08/9.41 tff(f39916,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : $o] : ((one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)) | ($true != X1)) & (($true = X1) | one_one(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)))) | ~zero_neq_one(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f31237])).
% 58.08/9.41 tff(f31237,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : $o] : (one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)) <=> ($true = X1)) | ~zero_neq_one(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f12577])).
% 58.08/9.41 tff(f12577,plain,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : (one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),bG504(X1)) <=> ($true = X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f12575,f12576])).
% 58.08/9.41 tff(f12576,plain,(
% 58.08/9.41 ! [X1 : $o] : (($true = X1) <=> ($true = bG504(X1)))),
% 58.08/9.41 introduced(fool_formula_definition,[new_symbols(definition,[bG504])])).
% 58.08/9.41 tff(f12575,plain,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X1) = one_one(X0) <=> X1))),
% 58.08/9.41 inference(rectify,[],[f2245])).
% 58.08/9.41 tff(f2245,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X26 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),X26) = one_one(X0) <=> X26))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2244_of__bool__eq__1__iff)).
% 58.08/9.41 tff(f105837,plain,(
% 58.08/9.41 spl5880_4521),
% 58.08/9.41 inference(avatar_split_clause,[],[f54408,f105835])).
% 58.08/9.41 tff(f105835,plain,(
% 58.08/9.41 spl5880_4521 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1958(X0,X1,X2) | ~sP1959(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4521])])).
% 58.08/9.41 tff(f54408,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1958(X0,X1,X2) | ~sP1959(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39889])).
% 58.08/9.41 tff(f39889,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : ((filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1958(X0,X1,X2)) & (sP1958(X0,X1,X2) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)))) | ~sP1959(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f37136])).
% 58.08/9.41 tff(f37136,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> sP1958(X0,X1,X2)) | ~sP1959(X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1959])])).
% 58.08/9.41 tff(f105833,plain,(
% 58.08/9.41 spl5880_4520),
% 58.08/9.41 inference(avatar_split_clause,[],[f54407,f105831])).
% 58.08/9.41 tff(f105831,plain,(
% 58.08/9.41 spl5880_4520 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP1958(X0,X1,X2) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1959(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4520])])).
% 58.08/9.41 tff(f54407,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP1958(X0,X1,X2) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1959(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39889])).
% 58.08/9.41 tff(f105829,plain,(
% 58.08/9.41 spl5880_4519),
% 58.08/9.41 inference(avatar_split_clause,[],[f54346,f105827])).
% 58.08/9.41 tff(f105827,plain,(
% 58.08/9.41 spl5880_4519 <=> ! [X0 : $tType,X4 : set(X0),X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,sK2809(X0,X1)) | ~topolo4958980785337419405_space(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4519])])).
% 58.08/9.41 tff(f54346,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : set(X0),X4 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,sK2809(X0,X1)) | ~topolo4958980785337419405_space(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39846])).
% 58.08/9.41 tff(f39846,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | (! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),sK2809(X0,X1)))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2809(X0,X1)))) & ! [X4 : set(X0)] : (topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,sK2809(X0,X1))))) | ~topolo4958980785337419405_space(X0))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2809])],[f39844,f39845])).
% 58.08/9.41 tff(f39845,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(set(X0))] : (! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) & ! [X4 : set(X0)] : (topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,X2))) => (! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),sK2809(X0,X1)))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2809(X0,X1)))) & ! [X4 : set(X0)] : (topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,sK2809(X0,X1)))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f39844,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ? [X2 : set(set(X0))] : (! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) & ! [X4 : set(X0)] : (topolo1002775350975398744n_open(X0,X4) | ~member(set(X0),X4,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.08/9.41 inference(rectify,[],[f31143])).
% 58.08/9.41 tff(f31143,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ? [X2 : set(set(X0))] : (! [X4 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) | ~finite_finite(set(X0),X4) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) | ~member(set(X0),X3,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.08/9.41 inference(flattening,[],[f31142])).
% 58.08/9.41 tff(f31142,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ? [X2 : set(set(X0))] : ((! [X4 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) | ~finite_finite(set(X0),X4) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) | ~member(set(X0),X3,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f12538])).
% 58.08/9.41 tff(f12538,plain,(
% 58.08/9.41 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (! [X2 : set(set(X0))] : (! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo1002775350975398744n_open(X0,X3)) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) => ? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))))) => topolo2193935891317330818ompact(X0,X1)))),
% 58.08/9.41 inference(fool_elimination,[],[f12537])).
% 58.08/9.41 tff(f12537,plain,(
% 58.08/9.41 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (! [X2 : set(set(X0))] : (! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo1002775350975398744n_open(X0,X3)) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2)) => ? [X4 : set(set(X0))] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4)) & finite_finite(set(X0),X4) & aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)))) => topolo2193935891317330818ompact(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f6750])).
% 58.08/9.41 tff(f6750,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X55 : set(X0)] : (! [X276 : set(set(X0))] : (! [X50 : set(X0)] : (member(set(X0),X50,X276) => topolo1002775350975398744n_open(X0,X50)) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X55),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X276)) => ? [X371 : set(set(X0))] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X55),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X371)) & finite_finite(set(X0),X371) & aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X371),X276)))) => topolo2193935891317330818ompact(X0,X55)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6749_compactI)).
% 58.08/9.41 tff(f105825,plain,(
% 58.08/9.41 spl5880_4518),
% 58.08/9.41 inference(avatar_split_clause,[],[f54207,f105823])).
% 58.08/9.41 tff(f105823,plain,(
% 58.08/9.41 spl5880_4518 <=> ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | zero_zero(X0) != sK2784(X0,X1) | ~sP1947(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4518])])).
% 58.08/9.41 tff(f54207,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | zero_zero(X0) != sK2784(X0,X1) | ~sP1947(X0,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39777])).
% 58.08/9.41 tff(f39777,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : list(X0)] : (((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | (zero_zero(X0) != sK2784(X0,X1) & member(X0,sK2784(X0,X1),aa(list(X0),set(X0),set2(X0),X1)))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~sP1947(X0,X1))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2784])],[f39775,f39776])).
% 58.08/9.41 tff(f39776,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0] : (zero_zero(X0) != X2 & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) => (zero_zero(X0) != sK2784(X0,X1) & member(X0,sK2784(X0,X1),aa(list(X0),set(X0),set2(X0),X1))))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f39775,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : list(X0)] : (((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | ? [X2 : X0] : (zero_zero(X0) != X2 & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~sP1947(X0,X1))),
% 58.08/9.41 inference(rectify,[],[f39774])).
% 58.08/9.41 tff(f39774,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : list(X0)] : (((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | ? [X3 : X0] : (zero_zero(X0) != X3 & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~sP1947(X0,X1))),
% 58.08/9.41 inference(nnf_transformation,[],[f37118])).
% 58.08/9.41 tff(f105821,plain,(
% 58.08/9.41 spl5880_4517),
% 58.08/9.41 inference(avatar_split_clause,[],[f53994,f105819])).
% 58.08/9.41 tff(f105819,plain,(
% 58.08/9.41 spl5880_4517 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4517])])).
% 58.08/9.41 tff(f53994,plain,(
% 58.08/9.41 ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f30832])).
% 58.08/9.41 tff(f30832,plain,(
% 58.08/9.41 ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f7083])).
% 58.08/9.41 tff(f7083,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7082_not__iszero__neg__Numeral1)).
% 58.08/9.41 tff(f105817,plain,(
% 58.08/9.41 spl5880_4516),
% 58.08/9.41 inference(avatar_split_clause,[],[f53767,f105815])).
% 58.08/9.41 tff(f105815,plain,(
% 58.08/9.41 spl5880_4516 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4516])])).
% 58.08/9.41 tff(f53767,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39700])).
% 58.08/9.41 tff(f39700,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1))) | ~group_add(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30595])).
% 58.08/9.41 tff(f30595,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) <=> zero_zero(X0) = X1) | ~group_add(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24274])).
% 58.08/9.41 tff(f24274,plain,(
% 58.08/9.41 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f2317])).
% 58.08/9.41 tff(f2317,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2316_neg__equal__0__iff__equal)).
% 58.08/9.41 tff(f105813,plain,(
% 58.08/9.41 spl5880_4515),
% 58.08/9.41 inference(avatar_split_clause,[],[f53757,f105811])).
% 58.08/9.41 tff(f105811,plain,(
% 58.08/9.41 spl5880_4515 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4515])])).
% 58.08/9.41 tff(f53757,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f30585])).
% 58.08/9.41 tff(f30585,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24264])).
% 58.08/9.41 tff(f24264,plain,(
% 58.08/9.41 ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1)),
% 58.08/9.41 inference(rectify,[],[f2311])).
% 58.08/9.41 tff(f2311,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (group_add(X0) => ! [X11 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X11)) = X11)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2310_add_Oinverse__inverse)).
% 58.08/9.41 tff(f105809,plain,(
% 58.08/9.41 spl5880_4514),
% 58.08/9.41 inference(avatar_split_clause,[],[f53718,f105807])).
% 58.08/9.41 tff(f105807,plain,(
% 58.08/9.41 spl5880_4514 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~dvd_dvd(X0,X1,X2) | ~comm_ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4514])])).
% 58.08/9.41 tff(f53718,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~dvd_dvd(X0,X1,X2) | ~comm_ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39681])).
% 58.08/9.41 tff(f39681,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~dvd_dvd(X0,X1,X2)) & (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2))) | ~comm_ring_1(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30557])).
% 58.08/9.41 tff(f30557,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) <=> dvd_dvd(X0,X1,X2)) | ~comm_ring_1(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24245])).
% 58.08/9.41 tff(f24245,plain,(
% 58.08/9.41 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) <=> dvd_dvd(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f2330])).
% 58.08/9.41 tff(f2330,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X9 : X0,X18 : X0] : (dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X9),X18) <=> dvd_dvd(X0,X9,X18)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2329_minus__dvd__iff)).
% 58.08/9.41 tff(f105805,plain,(
% 58.08/9.41 spl5880_4513),
% 58.08/9.41 inference(avatar_split_clause,[],[f53717,f105803])).
% 58.08/9.41 tff(f105803,plain,(
% 58.08/9.41 spl5880_4513 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~comm_ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4513])])).
% 58.08/9.41 tff(f53717,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~comm_ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39681])).
% 58.08/9.41 tff(f105801,plain,(
% 58.08/9.41 spl5880_4512 | ~spl5880_4002 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105504,f103044,f101641,f105798])).
% 58.08/9.41 tff(f105504,plain,(
% 58.08/9.41 iG842(iG271,$true) | (~spl5880_4002 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101643,f103045])).
% 58.08/9.41 tff(f105796,plain,(
% 58.08/9.41 spl5880_4511),
% 58.08/9.41 inference(avatar_split_clause,[],[f53716,f105794])).
% 58.08/9.41 tff(f105794,plain,(
% 58.08/9.41 spl5880_4511 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~dvd_dvd(X0,X1,X2) | ~comm_ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4511])])).
% 58.08/9.41 tff(f53716,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~dvd_dvd(X0,X1,X2) | ~comm_ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39680])).
% 58.08/9.41 tff(f39680,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~dvd_dvd(X0,X1,X2)) & (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)))) | ~comm_ring_1(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30556])).
% 58.08/9.41 tff(f30556,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) <=> dvd_dvd(X0,X1,X2)) | ~comm_ring_1(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24244])).
% 58.08/9.41 tff(f24244,plain,(
% 58.08/9.41 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) <=> dvd_dvd(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f2331])).
% 58.08/9.41 tff(f2331,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (comm_ring_1(X0) => ! [X9 : X0,X18 : X0] : (dvd_dvd(X0,X9,aa(X0,X0,uminus_uminus(X0),X18)) <=> dvd_dvd(X0,X9,X18)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2330_dvd__minus__iff)).
% 58.08/9.41 tff(f105792,plain,(
% 58.08/9.41 spl5880_4510),
% 58.08/9.41 inference(avatar_split_clause,[],[f53715,f105790])).
% 58.08/9.41 tff(f105790,plain,(
% 58.08/9.41 spl5880_4510 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~comm_ring_1(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4510])])).
% 58.08/9.41 tff(f53715,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~comm_ring_1(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39680])).
% 58.08/9.41 tff(f105788,plain,(
% 58.08/9.41 spl5880_4509),
% 58.08/9.41 inference(avatar_split_clause,[],[f53674,f105786])).
% 58.08/9.41 tff(f105786,plain,(
% 58.08/9.41 spl5880_4509 <=> ! [X0 : $tType,X1 : int] : (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4509])])).
% 58.08/9.41 tff(f53674,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : int] : (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39669])).
% 58.08/9.41 tff(f39669,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : int] : ((one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) | one_one(int) != X1) & (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1))) | ~ring_char_0(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30526])).
% 58.08/9.41 tff(f30526,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> one_one(int) = X1) | ~ring_char_0(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24219])).
% 58.08/9.41 tff(f24219,plain,(
% 58.08/9.41 ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> one_one(int) = X1))),
% 58.08/9.41 inference(rectify,[],[f2597])).
% 58.08/9.41 tff(f2597,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (ring_char_0(X0) => ! [X21 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X21) <=> one_one(int) = X21))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2596_of__int__eq__1__iff)).
% 58.08/9.41 tff(f105784,plain,(
% 58.08/9.41 spl5880_4508),
% 58.08/9.41 inference(avatar_split_clause,[],[f53632,f105782])).
% 58.08/9.41 tff(f105782,plain,(
% 58.08/9.41 spl5880_4508 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~idom_abs_sgn(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4508])])).
% 58.08/9.41 tff(f53632,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~idom_abs_sgn(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39635])).
% 58.08/9.41 tff(f39635,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1))) | ~idom_abs_sgn(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30497])).
% 58.08/9.41 tff(f30497,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1) | ~idom_abs_sgn(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24208])).
% 58.08/9.41 tff(f24208,plain,(
% 58.08/9.41 ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f2818])).
% 58.08/9.41 tff(f2818,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X11 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2817_abs__eq__0__iff)).
% 58.08/9.41 tff(f105780,plain,(
% 58.08/9.41 spl5880_4507),
% 58.08/9.41 inference(avatar_split_clause,[],[f53630,f105778])).
% 58.08/9.41 tff(f105778,plain,(
% 58.08/9.41 spl5880_4507 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~idom_abs_sgn(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4507])])).
% 58.08/9.41 tff(f53630,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~idom_abs_sgn(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39634])).
% 58.08/9.41 tff(f39634,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1))) | ~idom_abs_sgn(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30496])).
% 58.08/9.41 tff(f30496,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1) | ~idom_abs_sgn(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24207])).
% 58.08/9.41 tff(f24207,plain,(
% 58.08/9.41 ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f4622])).
% 58.08/9.41 tff(f4622,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X11 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4621_sgn__eq__0__iff)).
% 58.08/9.41 tff(f105776,plain,(
% 58.08/9.41 spl5880_4506),
% 58.08/9.41 inference(avatar_split_clause,[],[f53325,f105774])).
% 58.08/9.41 tff(f105774,plain,(
% 58.08/9.41 spl5880_4506 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) | ~dvd_dvd(X0,X1,X2) | ~linordered_idom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4506])])).
% 58.08/9.41 tff(f53325,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) | ~dvd_dvd(X0,X1,X2) | ~linordered_idom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39535])).
% 58.08/9.41 tff(f39535,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) | ~dvd_dvd(X0,X1,X2)) & (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2))) | ~linordered_idom(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30302])).
% 58.08/9.41 tff(f30302,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) <=> dvd_dvd(X0,X1,X2)) | ~linordered_idom(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24169])).
% 58.08/9.41 tff(f24169,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) <=> dvd_dvd(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f2793])).
% 58.08/9.41 tff(f2793,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X15 : X0,X24 : X0] : (dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X15),X24) <=> dvd_dvd(X0,X15,X24)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2792_abs__dvd__iff)).
% 58.08/9.41 tff(f105772,plain,(
% 58.08/9.41 spl5880_4505),
% 58.08/9.41 inference(avatar_split_clause,[],[f53324,f105770])).
% 58.08/9.41 tff(f105770,plain,(
% 58.08/9.41 spl5880_4505 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) | ~linordered_idom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4505])])).
% 58.08/9.41 tff(f53324,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,aa(X0,X0,abs_abs(X0),X1),X2) | ~linordered_idom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39535])).
% 58.08/9.41 tff(f105768,plain,(
% 58.08/9.41 spl5880_4504),
% 58.08/9.41 inference(avatar_split_clause,[],[f53323,f105766])).
% 58.08/9.41 tff(f105766,plain,(
% 58.08/9.41 spl5880_4504 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) | ~dvd_dvd(X0,X1,X2) | ~linordered_idom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4504])])).
% 58.08/9.41 tff(f53323,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) | ~dvd_dvd(X0,X1,X2) | ~linordered_idom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39534])).
% 58.08/9.41 tff(f39534,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) | ~dvd_dvd(X0,X1,X2)) & (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)))) | ~linordered_idom(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30301])).
% 58.08/9.41 tff(f30301,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) <=> dvd_dvd(X0,X1,X2)) | ~linordered_idom(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24168])).
% 58.08/9.41 tff(f24168,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) <=> dvd_dvd(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f2792])).
% 58.08/9.41 tff(f2792,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X15 : X0,X24 : X0] : (dvd_dvd(X0,X15,aa(X0,X0,abs_abs(X0),X24)) <=> dvd_dvd(X0,X15,X24)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2791_dvd__abs__iff)).
% 58.08/9.41 tff(f105764,plain,(
% 58.08/9.41 spl5880_4503),
% 58.08/9.41 inference(avatar_split_clause,[],[f53322,f105762])).
% 58.08/9.41 tff(f105762,plain,(
% 58.08/9.41 spl5880_4503 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) | ~linordered_idom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4503])])).
% 58.08/9.41 tff(f53322,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,aa(X0,X0,abs_abs(X0),X2)) | ~linordered_idom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39534])).
% 58.08/9.41 tff(f105760,plain,(
% 58.08/9.41 spl5880_4502),
% 58.08/9.41 inference(avatar_split_clause,[],[f53246,f105758])).
% 58.08/9.41 tff(f105758,plain,(
% 58.08/9.41 spl5880_4502 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~linordered_idom(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4502])])).
% 58.08/9.41 tff(f53246,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~linordered_idom(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39522])).
% 58.08/9.41 tff(f39522,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1))) | ~linordered_idom(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30227])).
% 58.08/9.41 tff(f30227,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1) | ~linordered_idom(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24144])).
% 58.08/9.41 tff(f24144,plain,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f4623])).
% 58.08/9.41 tff(f4623,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4622_sgn__0__0)).
% 58.08/9.41 tff(f105756,plain,(
% 58.08/9.41 spl5880_4501 | ~spl5880_3991 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105503,f103044,f101588,f105753])).
% 58.08/9.41 tff(f105503,plain,(
% 58.08/9.41 iG850(iG271,$true) | (~spl5880_3991 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101590,f103045])).
% 58.08/9.41 tff(f105751,plain,(
% 58.08/9.41 spl5880_4500),
% 58.08/9.41 inference(avatar_split_clause,[],[f53097,f105749])).
% 58.08/9.41 tff(f105749,plain,(
% 58.08/9.41 spl5880_4500 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~ordere166539214618696060dd_abs(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4500])])).
% 58.08/9.41 tff(f53097,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~ordere166539214618696060dd_abs(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39440])).
% 58.08/9.41 tff(f39440,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1))) | ~ordere166539214618696060dd_abs(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f30117])).
% 58.08/9.41 tff(f30117,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1) | ~ordere166539214618696060dd_abs(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f24120])).
% 58.08/9.41 tff(f24120,plain,(
% 58.08/9.41 ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f2783])).
% 58.08/9.41 tff(f2783,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => ! [X11 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X11) <=> zero_zero(X0) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2782_abs__0__eq)).
% 58.08/9.41 tff(f105747,plain,(
% 58.08/9.41 spl5880_4499),
% 58.08/9.41 inference(avatar_split_clause,[],[f52606,f105745])).
% 58.08/9.41 tff(f105745,plain,(
% 58.08/9.41 spl5880_4499 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4499])])).
% 58.08/9.41 tff(f52606,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f29771])).
% 58.08/9.41 tff(f29771,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23940])).
% 58.08/9.41 tff(f23940,plain,(
% 58.08/9.41 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1)))),
% 58.08/9.41 inference(rectify,[],[f4347])).
% 58.08/9.41 tff(f4347,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : (zero_zero(X0) != X11 => zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X11)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4346_nonzero__imp__inverse__nonzero)).
% 58.08/9.41 tff(f105743,plain,(
% 58.08/9.41 spl5880_4498),
% 58.08/9.41 inference(avatar_split_clause,[],[f52597,f105741])).
% 58.08/9.41 tff(f105741,plain,(
% 58.08/9.41 spl5880_4498 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4498])])).
% 58.08/9.41 tff(f52597,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f29762])).
% 58.08/9.41 tff(f29762,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23933])).
% 58.08/9.41 tff(f23933,plain,(
% 58.08/9.41 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1)),
% 58.08/9.41 inference(rectify,[],[f4314])).
% 58.08/9.41 tff(f4314,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X11)) = X11)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4313_inverse__inverse__eq)).
% 58.08/9.41 tff(f105739,plain,(
% 58.08/9.41 spl5880_4497),
% 58.08/9.41 inference(avatar_split_clause,[],[f52520,f105737])).
% 58.08/9.41 tff(f105737,plain,(
% 58.08/9.41 spl5880_4497 <=> ! [X0 : $tType,X1 : rat] : (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4497])])).
% 58.08/9.41 tff(f52520,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : rat] : (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39310])).
% 58.08/9.41 tff(f39310,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : rat] : ((one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) | one_one(rat) != X1) & (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1))) | ~field_char_0(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f29683])).
% 58.08/9.41 tff(f29683,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> one_one(rat) = X1) | ~field_char_0(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23876])).
% 58.08/9.41 tff(f23876,plain,(
% 58.08/9.41 ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> one_one(rat) = X1))),
% 58.08/9.41 inference(rectify,[],[f7747])).
% 58.08/9.41 tff(f7747,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (field_char_0(X0) => ! [X11 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X11) <=> one_one(rat) = X11))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7746_of__rat__eq__1__iff)).
% 58.08/9.41 tff(f105735,plain,(
% 58.08/9.41 spl5880_4496),
% 58.08/9.41 inference(avatar_split_clause,[],[f52441,f105733])).
% 58.08/9.41 tff(f105733,plain,(
% 58.08/9.41 spl5880_4496 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1) | ~field(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4496])])).
% 58.08/9.41 tff(f52441,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1) | ~field(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39293])).
% 58.08/9.41 tff(f39293,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : ((one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) | one_one(X0) != X1) & (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1))) | ~field(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f29619])).
% 58.08/9.41 tff(f29619,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) <=> one_one(X0) = X1) | ~field(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23822])).
% 58.08/9.41 tff(f23822,plain,(
% 58.08/9.41 ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) <=> one_one(X0) = X1))),
% 58.08/9.41 inference(rectify,[],[f4319])).
% 58.08/9.41 tff(f4319,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (field(X0) => ! [X9 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X9) <=> one_one(X0) = X9))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4318_inverse__eq__1__iff)).
% 58.08/9.41 tff(f105731,plain,(
% 58.08/9.41 spl5880_4495),
% 58.08/9.41 inference(avatar_split_clause,[],[f51998,f105729])).
% 58.08/9.41 tff(f105729,plain,(
% 58.08/9.41 spl5880_4495 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~euclid3725896446679973847miring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4495])])).
% 58.08/9.41 tff(f51998,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~euclid3725896446679973847miring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39175])).
% 58.08/9.41 tff(f39175,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2)) & (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1)) | ~euclid3725896446679973847miring(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f29261])).
% 58.08/9.41 tff(f29261,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (modulo_modulo(X0,X1,X2) = X1 <=> zero_zero(X0) = divide_divide(X0,X1,X2)) | ~euclid3725896446679973847miring(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23567])).
% 58.08/9.41 tff(f23567,plain,(
% 58.08/9.41 ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0,X2 : X0] : (modulo_modulo(X0,X1,X2) = X1 <=> zero_zero(X0) = divide_divide(X0,X1,X2)))),
% 58.08/9.41 inference(rectify,[],[f1236])).
% 58.08/9.41 tff(f1236,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X11 : X0,X12 : X0] : (modulo_modulo(X0,X11,X12) = X11 <=> divide_divide(X0,X11,X12) = zero_zero(X0)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1235_mod__eq__self__iff__div__eq__0)).
% 58.08/9.41 tff(f105727,plain,(
% 58.08/9.41 spl5880_4494),
% 58.08/9.41 inference(avatar_split_clause,[],[f51997,f105725])).
% 58.08/9.41 tff(f105725,plain,(
% 58.08/9.41 spl5880_4494 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1 | ~euclid3725896446679973847miring(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4494])])).
% 58.08/9.41 tff(f51997,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1 | ~euclid3725896446679973847miring(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39175])).
% 58.08/9.41 tff(f105723,plain,(
% 58.08/9.41 spl5880_4493),
% 58.08/9.41 inference(avatar_split_clause,[],[f51873,f105721])).
% 58.08/9.41 tff(f105721,plain,(
% 58.08/9.41 spl5880_4493 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4493])])).
% 58.08/9.41 tff(f51873,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39137])).
% 58.08/9.41 tff(f39137,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1)) & (summable(X0,X1) | ~summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)))) | ~real_V822414075346904944vector(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f29135])).
% 58.08/9.41 tff(f29135,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)) | ~real_V822414075346904944vector(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23498])).
% 58.08/9.41 tff(f23498,plain,(
% 58.08/9.41 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)))),
% 58.08/9.41 inference(rectify,[],[f3390])).
% 58.08/9.41 tff(f3390,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X30 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X30)) <=> summable(X0,X30)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3389_summable__Suc__iff)).
% 58.08/9.41 tff(f105719,plain,(
% 58.08/9.41 spl5880_4492),
% 58.08/9.41 inference(avatar_split_clause,[],[f51872,f105717])).
% 58.08/9.41 tff(f105717,plain,(
% 58.08/9.41 spl5880_4492 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4492])])).
% 58.08/9.41 tff(f51872,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_dd(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f39137])).
% 58.08/9.41 tff(f105715,plain,(
% 58.08/9.41 spl5880_4491),
% 58.08/9.41 inference(avatar_split_clause,[],[f51124,f105713])).
% 58.08/9.41 tff(f105713,plain,(
% 58.08/9.41 spl5880_4491 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4491])])).
% 58.08/9.41 tff(f51124,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1)) = X1 | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f28490])).
% 58.08/9.41 tff(f28490,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23270])).
% 58.08/9.41 tff(f23270,plain,(
% 58.08/9.41 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X1)) = X1)),
% 58.08/9.41 inference(rectify,[],[f5032])).
% 58.08/9.41 tff(f5032,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X9 : X0] : aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,bit_ri4277139882892585799ns_not(X0),X9)) = X9)),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5031_bit_Odouble__compl)).
% 58.08/9.41 tff(f105711,plain,(
% 58.08/9.41 spl5880_4490 | ~spl5880_3980 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105502,f103044,f101538,f105708])).
% 58.08/9.41 tff(f105502,plain,(
% 58.08/9.41 iG933(iG271,$true) | (~spl5880_3980 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101540,f103045])).
% 58.08/9.41 tff(f105706,plain,(
% 58.08/9.41 spl5880_4489),
% 58.08/9.41 inference(avatar_split_clause,[],[f51024,f105704])).
% 58.08/9.41 tff(f105704,plain,(
% 58.08/9.41 spl5880_4489 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1858(X0,X2,X1) | ~sP1859(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4489])])).
% 58.08/9.41 tff(f51024,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1858(X0,X2,X1) | ~sP1859(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38887])).
% 58.08/9.41 tff(f38887,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : ((filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1858(X0,X2,X1)) & (sP1858(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)))) | ~sP1859(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f36980])).
% 58.08/9.41 tff(f36980,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> sP1858(X0,X2,X1)) | ~sP1859(X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1859])])).
% 58.08/9.41 tff(f105702,plain,(
% 58.08/9.41 spl5880_4488),
% 58.08/9.41 inference(avatar_split_clause,[],[f51023,f105700])).
% 58.08/9.41 tff(f105700,plain,(
% 58.08/9.41 spl5880_4488 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP1858(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1859(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4488])])).
% 58.08/9.41 tff(f51023,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP1858(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP1859(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38887])).
% 58.08/9.41 tff(f105698,plain,(
% 58.08/9.41 spl5880_4487),
% 58.08/9.41 inference(avatar_split_clause,[],[f50822,f105696])).
% 58.08/9.41 tff(f105696,plain,(
% 58.08/9.41 spl5880_4487 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4487])])).
% 58.08/9.41 tff(f50822,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f28288])).
% 58.08/9.41 tff(f28288,plain,(
% 58.08/9.41 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0))),
% 58.08/9.41 inference(ennf_transformation,[],[f23169])).
% 58.08/9.41 tff(f23169,plain,(
% 58.08/9.41 ! [X0 : $tType] : (euclid8851590272496341667cancel(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 58.08/9.41 inference(rectify,[],[f2368])).
% 58.08/9.41 tff(f2368,axiom,(
% 58.08/9.41 ! [X0 : $tType] : (euclid8851590272496341667cancel(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,X11,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2367_mod__minus1__right)).
% 58.08/9.41 tff(f105694,plain,(
% 58.08/9.41 spl5880_4486),
% 58.08/9.41 inference(avatar_split_clause,[],[f50649,f105692])).
% 58.08/9.41 tff(f105692,plain,(
% 58.08/9.41 spl5880_4486 <=> ! [X0 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(sK2549(X0))))) | ~sP1847(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4486])])).
% 58.08/9.41 tff(f50649,plain,(
% 58.08/9.41 ( ! [X0 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(sK2549(X0))))) | ~sP1847(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38691])).
% 58.08/9.41 tff(f38691,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(sK2549(X0))))) & vEBT_Leaf($true,bG344(sK2549(X0))) = X0) | ~sP1847(X0))),
% 58.08/9.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2549])],[f38689,f38690])).
% 58.08/9.41 tff(f38690,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : (? [X1 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(X1)))) & vEBT_Leaf($true,bG344(X1)) = X0) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(sK2549(X0))))) & vEBT_Leaf($true,bG344(sK2549(X0))) = X0))),
% 58.08/9.41 introduced(choice_axiom,[])).
% 58.08/9.41 tff(f38689,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : (? [X1 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(X1)))) & vEBT_Leaf($true,bG344(X1)) = X0) | ~sP1847(X0))),
% 58.08/9.41 inference(nnf_transformation,[],[f36962])).
% 58.08/9.41 tff(f36962,plain,(
% 58.08/9.41 ! [X0 : vEBT_VEBT] : (? [X1 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($true,bG345(X1)))) & vEBT_Leaf($true,bG344(X1)) = X0) | ~sP1847(X0))),
% 58.08/9.41 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1847])])).
% 58.08/9.41 tff(f105690,plain,(
% 58.08/9.41 spl5880_4485),
% 58.08/9.41 inference(avatar_split_clause,[],[f50323,f105688])).
% 58.08/9.41 tff(f105688,plain,(
% 58.08/9.41 spl5880_4485 <=> ! [X0 : nat] : filterlim(real,real,aTP_Lamp_wa(nat,fun(real,real),X0),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4485])])).
% 58.08/9.41 tff(f50323,plain,(
% 58.08/9.41 ( ! [X0 : nat] : (filterlim(real,real,aTP_Lamp_wa(nat,fun(real,real),X0),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22851])).
% 58.08/9.41 tff(f22851,plain,(
% 58.08/9.41 ! [X0 : nat] : filterlim(real,real,aTP_Lamp_wa(nat,fun(real,real),X0),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real))),
% 58.08/9.41 inference(rectify,[],[f6444])).
% 58.08/9.41 tff(f6444,axiom,(
% 58.08/9.41 ! [X24 : nat] : filterlim(real,real,aTP_Lamp_wa(nat,fun(real,real),X24),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(real))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6443_tendsto__power__div__exp__0)).
% 58.08/9.41 tff(f105686,plain,(
% 58.08/9.41 spl5880_4484),
% 58.08/9.41 inference(avatar_split_clause,[],[f50313,f105684])).
% 58.08/9.41 tff(f105684,plain,(
% 58.08/9.41 spl5880_4484 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4484])])).
% 58.08/9.41 tff(f50313,plain,(
% 58.08/9.41 ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22841])).
% 58.08/9.41 tff(f22841,plain,(
% 58.08/9.41 ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0),
% 58.08/9.41 inference(rectify,[],[f1583])).
% 58.08/9.41 tff(f1583,axiom,(
% 58.08/9.41 ! [X14 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X14) = X14),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1582_plus__int__code_I2_J)).
% 58.08/9.41 tff(f105682,plain,(
% 58.08/9.41 spl5880_4483),
% 58.08/9.41 inference(avatar_split_clause,[],[f50312,f105680])).
% 58.08/9.41 tff(f105680,plain,(
% 58.08/9.41 spl5880_4483 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4483])])).
% 58.08/9.41 tff(f50312,plain,(
% 58.08/9.41 ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22840])).
% 58.08/9.41 tff(f22840,plain,(
% 58.08/9.41 ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0),
% 58.08/9.41 inference(rectify,[],[f1582])).
% 58.08/9.41 tff(f1582,axiom,(
% 58.08/9.41 ! [X24 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X24),zero_zero(int)) = X24),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1581_plus__int__code_I1_J)).
% 58.08/9.41 tff(f105678,plain,(
% 58.08/9.41 spl5880_4482),
% 58.08/9.41 inference(avatar_split_clause,[],[f50311,f105676])).
% 58.08/9.41 tff(f105676,plain,(
% 58.08/9.41 spl5880_4482 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4482])])).
% 58.08/9.41 tff(f50311,plain,(
% 58.08/9.41 ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22839])).
% 58.08/9.41 tff(f22839,plain,(
% 58.08/9.41 ! [X0 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0),
% 58.08/9.41 inference(rectify,[],[f1584])).
% 58.08/9.41 tff(f1584,axiom,(
% 58.08/9.41 ! [X24 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X24),zero_zero(int)) = X24),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1583_minus__int__code_I1_J)).
% 58.08/9.41 tff(f105674,plain,(
% 58.08/9.41 spl5880_4481),
% 58.08/9.41 inference(avatar_split_clause,[],[f50310,f105672])).
% 58.08/9.41 tff(f105672,plain,(
% 58.08/9.41 spl5880_4481 <=> ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),zero_zero(code_integer)),X0) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4481])])).
% 58.08/9.41 tff(f50310,plain,(
% 58.08/9.41 ( ! [X0 : code_integer] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),zero_zero(code_integer)),X0) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22838])).
% 58.08/9.41 tff(f22838,plain,(
% 58.08/9.41 ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),zero_zero(code_integer)),X0) = X0),
% 58.08/9.41 inference(rectify,[],[f5345])).
% 58.08/9.41 tff(f5345,axiom,(
% 58.08/9.41 ! [X14 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),zero_zero(code_integer)),X14) = X14),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5344_plus__integer__code_I2_J)).
% 58.08/9.41 tff(f105670,plain,(
% 58.08/9.41 spl5880_4480),
% 58.08/9.41 inference(avatar_split_clause,[],[f50309,f105668])).
% 58.08/9.41 tff(f105668,plain,(
% 58.08/9.41 spl5880_4480 <=> ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),X0),zero_zero(code_integer)) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4480])])).
% 58.08/9.41 tff(f50309,plain,(
% 58.08/9.41 ( ! [X0 : code_integer] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),X0),zero_zero(code_integer)) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22837])).
% 58.08/9.41 tff(f22837,plain,(
% 58.08/9.41 ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),X0),zero_zero(code_integer)) = X0),
% 58.08/9.41 inference(rectify,[],[f5344])).
% 58.08/9.41 tff(f5344,axiom,(
% 58.08/9.41 ! [X24 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),X24),zero_zero(code_integer)) = X24),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5343_plus__integer__code_I1_J)).
% 58.08/9.41 tff(f105666,plain,(
% 58.08/9.41 spl5880_4479 | ~spl5880_3969 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105501,f103044,f101492,f105663])).
% 58.08/9.41 tff(f105501,plain,(
% 58.08/9.41 iG945(iG271,$true) | (~spl5880_3969 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101494,f103045])).
% 58.08/9.41 tff(f105661,plain,(
% 58.08/9.41 spl5880_4478),
% 58.08/9.41 inference(avatar_split_clause,[],[f50308,f105659])).
% 58.08/9.41 tff(f105659,plain,(
% 58.08/9.41 spl5880_4478 <=> ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X0),zero_zero(code_integer)) = X0),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4478])])).
% 58.08/9.41 tff(f50308,plain,(
% 58.08/9.41 ( ! [X0 : code_integer] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X0),zero_zero(code_integer)) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22836])).
% 58.08/9.41 tff(f22836,plain,(
% 58.08/9.41 ! [X0 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X0),zero_zero(code_integer)) = X0),
% 58.08/9.41 inference(rectify,[],[f5340])).
% 58.08/9.41 tff(f5340,axiom,(
% 58.08/9.41 ! [X24 : code_integer] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X24),zero_zero(code_integer)) = X24),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5339_minus__integer__code_I1_J)).
% 58.08/9.41 tff(f105657,plain,(
% 58.08/9.41 spl5880_4477),
% 58.08/9.41 inference(avatar_split_clause,[],[f50304,f105655])).
% 58.08/9.41 tff(f105655,plain,(
% 58.08/9.41 spl5880_4477 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(set(nat),nat,finite_card(nat),set_ord_atMost(nat,X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4477])])).
% 58.08/9.41 tff(f50304,plain,(
% 58.08/9.41 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) = aa(set(nat),nat,finite_card(nat),set_ord_atMost(nat,X0))) )),
% 58.08/9.41 inference(cnf_transformation,[],[f22832])).
% 58.08/9.41 tff(f22832,plain,(
% 58.08/9.41 ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(set(nat),nat,finite_card(nat),set_ord_atMost(nat,X0))),
% 58.08/9.41 inference(rectify,[],[f5328])).
% 58.08/9.41 tff(f5328,axiom,(
% 58.08/9.41 ! [X56 : nat] : aa(nat,nat,suc,X56) = aa(set(nat),nat,finite_card(nat),set_ord_atMost(nat,X56))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5327_card__atMost)).
% 58.08/9.41 tff(f105653,plain,(
% 58.08/9.41 spl5880_4476),
% 58.08/9.41 inference(avatar_split_clause,[],[f50067,f105650])).
% 58.08/9.41 tff(f105650,plain,(
% 58.08/9.41 spl5880_4476 <=> field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aeg(real,$o))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4476])])).
% 58.08/9.41 tff(f50067,plain,(
% 58.08/9.41 field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aeg(real,$o))),
% 58.08/9.41 inference(cnf_transformation,[],[f7672])).
% 58.08/9.41 tff(f7672,axiom,(
% 58.08/9.41 field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aeg(real,$o))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7671_Rats__eq__int__div__nat)).
% 58.08/9.41 tff(f105648,plain,(
% 58.08/9.41 spl5880_4475),
% 58.08/9.41 inference(avatar_split_clause,[],[f50066,f105645])).
% 58.08/9.41 tff(f105645,plain,(
% 58.08/9.41 spl5880_4475 <=> field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aei(real,$o))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4475])])).
% 58.08/9.41 tff(f50066,plain,(
% 58.08/9.41 field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aei(real,$o))),
% 58.08/9.41 inference(cnf_transformation,[],[f7690])).
% 58.08/9.41 tff(f7690,axiom,(
% 58.08/9.41 field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_aei(real,$o))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7689_Rats__eq__int__div__int)).
% 58.08/9.41 tff(f105641,plain,(
% 58.08/9.41 spl5880_4474 | ~spl5880_1536 | ~spl5880_4145 | ~spl5880_4473),
% 58.08/9.41 inference(avatar_split_clause,[],[f105636,f105630,f103044,f86300,f105638])).
% 58.08/9.41 tff(f105638,plain,(
% 58.08/9.41 spl5880_4474 <=> sqrt = root(aa(nat,nat,suc,iG271))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4474])])).
% 58.08/9.41 tff(f105630,plain,(
% 58.08/9.41 spl5880_4473 <=> sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4473])])).
% 58.08/9.41 tff(f105636,plain,(
% 58.08/9.41 sqrt = root(aa(nat,nat,suc,iG271)) | (~spl5880_1536 | ~spl5880_4145 | ~spl5880_4473)),
% 58.08/9.41 inference(forward_demodulation,[],[f105635,f103045])).
% 58.08/9.41 tff(f105635,plain,(
% 58.08/9.41 sqrt = root(aa(nat,nat,suc,iG714($true))) | (~spl5880_1536 | ~spl5880_4473)),
% 58.08/9.41 inference(forward_demodulation,[],[f105634,f86302])).
% 58.08/9.41 tff(f105634,plain,(
% 58.08/9.41 sqrt = root(aa(nat,nat,suc,iG1228($true))) | ~spl5880_4473),
% 58.08/9.41 inference(forward_demodulation,[],[f105632,f69765])).
% 58.08/9.41 tff(f105632,plain,(
% 58.08/9.41 sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) | ~spl5880_4473),
% 58.08/9.41 inference(avatar_component_clause,[],[f105630])).
% 58.08/9.41 tff(f105633,plain,(
% 58.08/9.41 spl5880_4473),
% 58.08/9.41 inference(avatar_split_clause,[],[f50065,f105630])).
% 58.08/9.41 tff(f50065,plain,(
% 58.08/9.41 sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 58.08/9.41 inference(cnf_transformation,[],[f4676])).
% 58.08/9.41 tff(f4676,axiom,(
% 58.08/9.41 sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4675_sqrt__def)).
% 58.08/9.41 tff(f105628,plain,(
% 58.08/9.41 ~spl5880_4472),
% 58.08/9.41 inference(avatar_split_clause,[],[f50064,f105625])).
% 58.08/9.41 tff(f105625,plain,(
% 58.08/9.41 spl5880_4472 <=> zero_zero(real) = cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4472])])).
% 58.08/9.41 tff(f50064,plain,(
% 58.08/9.41 zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.41 inference(cnf_transformation,[],[f3583])).
% 58.08/9.41 tff(f3583,axiom,(
% 58.08/9.41 zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3582_cos__two__neq__zero)).
% 58.08/9.41 tff(f105623,plain,(
% 58.08/9.41 spl5880_4471),
% 58.08/9.41 inference(avatar_split_clause,[],[f49182,f105621])).
% 58.08/9.41 tff(f105621,plain,(
% 58.08/9.41 spl5880_4471 <=> ! [X0 : complex] : (fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0) | zero_zero(complex) = X0)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4471])])).
% 58.08/9.41 tff(f49182,plain,(
% 58.08/9.41 ( ! [X0 : complex] : (fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0) | zero_zero(complex) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f28107])).
% 58.08/9.41 tff(f28107,plain,(
% 58.08/9.41 ! [X0 : complex] : (fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0) | zero_zero(complex) = X0) & ! [X1 : complex] : (zero_zero(real) = iG303(X1) | zero_zero(complex) != X1)),
% 58.08/9.41 inference(ennf_transformation,[],[f22670])).
% 58.08/9.41 tff(f22670,plain,(
% 58.08/9.41 ! [X0 : complex] : (zero_zero(complex) != X0 => fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0)) & ! [X1 : complex] : (zero_zero(complex) = X1 => zero_zero(real) = iG303(X1))),
% 58.08/9.41 inference(flattening,[],[f22669])).
% 58.08/9.41 tff(f22669,plain,(
% 58.08/9.41 ! [X0 : complex] : (~zero_zero(complex) = X0 => fChoice(real,aTP_Lamp_jm(complex,fun(real,$o),X0)) = iG303(X0)) & ! [X1 : complex] : (zero_zero(complex) = X1 => zero_zero(real) = iG303(X1))),
% 58.08/9.41 inference(rectify,[],[f9919])).
% 58.08/9.41 tff(f105619,plain,(
% 58.08/9.41 spl5880_4470),
% 58.08/9.41 inference(avatar_split_clause,[],[f49173,f105617])).
% 58.08/9.41 tff(f105617,plain,(
% 58.08/9.41 spl5880_4470 <=> ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0) | zero_zero(real) = im(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4470])])).
% 58.08/9.41 tff(f49173,plain,(
% 58.08/9.41 ( ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0) | zero_zero(real) = im(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f28103])).
% 58.08/9.41 tff(f28103,plain,(
% 58.08/9.41 ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0) | zero_zero(real) = im(X0)) & ! [X1 : complex] : (one_one(real) = iG308(X1) | zero_zero(real) != im(X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f22662])).
% 58.08/9.41 tff(f22662,plain,(
% 58.08/9.41 ! [X0 : complex] : (zero_zero(real) != im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG308(X1))),
% 58.08/9.41 inference(flattening,[],[f22661])).
% 58.08/9.41 tff(f22661,plain,(
% 58.08/9.41 ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG308(X1))),
% 58.08/9.41 inference(rectify,[],[f9928])).
% 58.08/9.41 tff(f9928,plain,(
% 58.08/9.41 ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG308(X0)) & ! [X0 : complex] : (zero_zero(real) = im(X0) => one_one(real) = iG308(X0))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG308])])).
% 58.08/9.41 tff(f105615,plain,(
% 58.08/9.41 spl5880_4469 | ~spl5880_3959 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105500,f103044,f101446,f105612])).
% 58.08/9.41 tff(f105500,plain,(
% 58.08/9.41 iG955(iG271,$true) | (~spl5880_3959 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101448,f103045])).
% 58.08/9.41 tff(f105610,plain,(
% 58.08/9.41 spl5880_4468),
% 58.08/9.41 inference(avatar_split_clause,[],[f49167,f105608])).
% 58.08/9.41 tff(f105608,plain,(
% 58.08/9.41 spl5880_4468 <=> ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0) | zero_zero(real) = im(X0))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4468])])).
% 58.08/9.41 tff(f49167,plain,(
% 58.08/9.41 ( ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0) | zero_zero(real) = im(X0)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f28100])).
% 58.08/9.41 tff(f28100,plain,(
% 58.08/9.41 ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0) | zero_zero(real) = im(X0)) & ! [X1 : complex] : (one_one(real) = iG311(X1) | zero_zero(real) != im(X1))),
% 58.08/9.41 inference(ennf_transformation,[],[f22656])).
% 58.08/9.41 tff(f22656,plain,(
% 58.08/9.41 ! [X0 : complex] : (zero_zero(real) != im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG311(X1))),
% 58.08/9.41 inference(flattening,[],[f22655])).
% 58.08/9.41 tff(f22655,plain,(
% 58.08/9.41 ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG311(X1))),
% 58.08/9.41 inference(rectify,[],[f9935])).
% 58.08/9.41 tff(f9935,plain,(
% 58.08/9.41 ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG311(X0)) & ! [X0 : complex] : (zero_zero(real) = im(X0) => one_one(real) = iG311(X0))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG311])])).
% 58.08/9.41 tff(f105606,plain,(
% 58.08/9.41 spl5880_4467),
% 58.08/9.41 inference(avatar_split_clause,[],[f47867,f105604])).
% 58.08/9.41 tff(f105604,plain,(
% 58.08/9.41 spl5880_4467 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG939(X0,X1,X2,X3,X4) | ~iG938(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4467])])).
% 58.08/9.41 tff(f47867,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG939(X0,X1,X2,X3,X4) | ~iG938(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38346])).
% 58.08/9.41 tff(f38346,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG939(X0,X1,X2,X3,X4) | ~iG938(X2,X1,X0,X3,X4)) & (iG938(X2,X1,X0,X3,X4) | ~iG939(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG939(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27765])).
% 58.08/9.41 tff(f27765,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG939(X0,X1,X2,X3,X4) <=> iG938(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG939(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21749])).
% 58.08/9.41 tff(f21749,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG939(X0,X1,X2,X3,X4) <=> iG938(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG939(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21748])).
% 58.08/9.41 tff(f21748,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG939(X0,X1,X2,X3,X4) <=> iG938(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG939(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21747])).
% 58.08/9.41 tff(f21747,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG939(X0,X1,X2,X3,X4) <=> iG938(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG939(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15799])).
% 58.08/9.41 tff(f15799,plain,(
% 58.08/9.41 ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X14 => (iG939(X14,X1,X13,X15,X16) <=> iG938(X13,X1,X14,X15,X16))) & ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X14 => (iG939(X14,X1,X13,X15,X16) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG939])])).
% 58.08/9.41 tff(f105602,plain,(
% 58.08/9.41 spl5880_4466),
% 58.08/9.41 inference(avatar_split_clause,[],[f47866,f105600])).
% 58.08/9.41 tff(f105600,plain,(
% 58.08/9.41 spl5880_4466 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG938(X2,X1,X0,X3,X4) | ~iG939(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4466])])).
% 58.08/9.41 tff(f47866,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG938(X2,X1,X0,X3,X4) | ~iG939(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38346])).
% 58.08/9.41 tff(f105598,plain,(
% 58.08/9.41 spl5880_4465),
% 58.08/9.41 inference(avatar_split_clause,[],[f47864,f105596])).
% 58.08/9.41 tff(f105596,plain,(
% 58.08/9.41 spl5880_4465 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG940(X0,X1,X2,X3,X4) | ~iG939(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4465])])).
% 58.08/9.41 tff(f47864,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG940(X0,X1,X2,X3,X4) | ~iG939(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38345])).
% 58.08/9.41 tff(f38345,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG940(X0,X1,X2,X3,X4) | ~iG939(X2,X1,X0,X3,X4)) & (iG939(X2,X1,X0,X3,X4) | ~iG940(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG940(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27764])).
% 58.08/9.41 tff(f27764,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG940(X0,X1,X2,X3,X4) <=> iG939(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG940(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21746])).
% 58.08/9.41 tff(f21746,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG940(X0,X1,X2,X3,X4) <=> iG939(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG940(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21745])).
% 58.08/9.41 tff(f21745,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG940(X0,X1,X2,X3,X4) <=> iG939(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG940(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21744])).
% 58.08/9.41 tff(f21744,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG940(X0,X1,X2,X3,X4) <=> iG939(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG940(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15800])).
% 58.08/9.41 tff(f15800,plain,(
% 58.08/9.41 ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X13 => (iG940(X13,X1,X14,X15,X16) <=> iG939(X14,X1,X13,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X13 => (iG940(X13,X1,X14,X15,X16) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG940])])).
% 58.08/9.41 tff(f105594,plain,(
% 58.08/9.41 spl5880_4464),
% 58.08/9.41 inference(avatar_split_clause,[],[f47863,f105592])).
% 58.08/9.41 tff(f105592,plain,(
% 58.08/9.41 spl5880_4464 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG939(X2,X1,X0,X3,X4) | ~iG940(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4464])])).
% 58.08/9.41 tff(f47863,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG939(X2,X1,X0,X3,X4) | ~iG940(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38345])).
% 58.08/9.41 tff(f105590,plain,(
% 58.08/9.41 spl5880_4463),
% 58.08/9.41 inference(avatar_split_clause,[],[f47836,f105588])).
% 58.08/9.41 tff(f105588,plain,(
% 58.08/9.41 spl5880_4463 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG951(X0,X1,X2,X3,X4) | ~iG950(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4463])])).
% 58.08/9.41 tff(f47836,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG951(X0,X1,X2,X3,X4) | ~iG950(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38335])).
% 58.08/9.41 tff(f38335,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG951(X0,X1,X2,X3,X4) | ~iG950(X2,X1,X0,X3,X4)) & (iG950(X2,X1,X0,X3,X4) | ~iG951(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG951(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27758])).
% 58.08/9.41 tff(f27758,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG951(X0,X1,X2,X3,X4) <=> iG950(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG951(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21724])).
% 58.08/9.41 tff(f21724,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG951(X0,X1,X2,X3,X4) <=> iG950(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG951(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21723])).
% 58.08/9.41 tff(f21723,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG951(X0,X1,X2,X3,X4) <=> iG950(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG951(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21722])).
% 58.08/9.41 tff(f21722,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG951(X0,X1,X2,X3,X4) <=> iG950(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG951(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15813])).
% 58.08/9.41 tff(f15813,plain,(
% 58.08/9.41 ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X14 => (iG951(X14,X1,X13,X15,X16) <=> iG950(X13,X1,X14,X15,X16))) & ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X14 => (iG951(X14,X1,X13,X15,X16) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG951])])).
% 58.08/9.41 tff(f105586,plain,(
% 58.08/9.41 spl5880_4462),
% 58.08/9.41 inference(avatar_split_clause,[],[f47835,f105584])).
% 58.08/9.41 tff(f105584,plain,(
% 58.08/9.41 spl5880_4462 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG950(X2,X1,X0,X3,X4) | ~iG951(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4462])])).
% 58.08/9.41 tff(f47835,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG950(X2,X1,X0,X3,X4) | ~iG951(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38335])).
% 58.08/9.41 tff(f105582,plain,(
% 58.08/9.41 spl5880_4461),
% 58.08/9.41 inference(avatar_split_clause,[],[f47833,f105580])).
% 58.08/9.41 tff(f105580,plain,(
% 58.08/9.41 spl5880_4461 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG952(X0,X1,X2,X3,X4) | ~iG951(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4461])])).
% 58.08/9.41 tff(f47833,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG952(X0,X1,X2,X3,X4) | ~iG951(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38334])).
% 58.08/9.41 tff(f38334,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG952(X0,X1,X2,X3,X4) | ~iG951(X2,X1,X0,X3,X4)) & (iG951(X2,X1,X0,X3,X4) | ~iG952(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG952(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27757])).
% 58.08/9.41 tff(f27757,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG952(X0,X1,X2,X3,X4) <=> iG951(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG952(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21721])).
% 58.08/9.41 tff(f21721,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG952(X0,X1,X2,X3,X4) <=> iG951(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG952(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21720])).
% 58.08/9.41 tff(f21720,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG952(X0,X1,X2,X3,X4) <=> iG951(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG952(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21719])).
% 58.08/9.41 tff(f21719,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG952(X0,X1,X2,X3,X4) <=> iG951(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG952(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15814])).
% 58.08/9.41 tff(f15814,plain,(
% 58.08/9.41 ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X13 => (iG952(X13,X1,X14,X15,X16) <=> iG951(X14,X1,X13,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X13 => (iG952(X13,X1,X14,X15,X16) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG952])])).
% 58.08/9.41 tff(f105578,plain,(
% 58.08/9.41 spl5880_4460),
% 58.08/9.41 inference(avatar_split_clause,[],[f47832,f105576])).
% 58.08/9.41 tff(f105576,plain,(
% 58.08/9.41 spl5880_4460 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG951(X2,X1,X0,X3,X4) | ~iG952(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4460])])).
% 58.08/9.41 tff(f47832,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG951(X2,X1,X0,X3,X4) | ~iG952(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38334])).
% 58.08/9.41 tff(f105574,plain,(
% 58.08/9.41 spl5880_4459),
% 58.08/9.41 inference(avatar_split_clause,[],[f47809,f105572])).
% 58.08/9.41 tff(f105572,plain,(
% 58.08/9.41 spl5880_4459 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG961(X0,X1,X2,X3,X4) | ~iG960(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4459])])).
% 58.08/9.41 tff(f47809,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG961(X0,X1,X2,X3,X4) | ~iG960(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38326])).
% 58.08/9.41 tff(f38326,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG961(X0,X1,X2,X3,X4) | ~iG960(X2,X1,X0,X3,X4)) & (iG960(X2,X1,X0,X3,X4) | ~iG961(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG961(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27751])).
% 58.08/9.41 tff(f27751,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG961(X0,X1,X2,X3,X4) <=> iG960(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG961(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21701])).
% 58.08/9.41 tff(f21701,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG961(X0,X1,X2,X3,X4) <=> iG960(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG961(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21700])).
% 58.08/9.41 tff(f21700,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG961(X0,X1,X2,X3,X4) <=> iG960(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG961(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21699])).
% 58.08/9.41 tff(f21699,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG961(X0,X1,X2,X3,X4) <=> iG960(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG961(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15899])).
% 58.08/9.41 tff(f15899,plain,(
% 58.08/9.41 ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X5 => (iG961(X5,X1,X4,X6,X7) <=> iG960(X4,X1,X5,X6,X7))) & ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X5 => (iG961(X5,X1,X4,X6,X7) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG961])])).
% 58.08/9.41 tff(f105570,plain,(
% 58.08/9.41 spl5880_4458 | ~spl5880_3948 | ~spl5880_4145),
% 58.08/9.41 inference(avatar_split_clause,[],[f105499,f103044,f101401,f105567])).
% 58.08/9.41 tff(f105499,plain,(
% 58.08/9.41 iG967(iG271,$true) | (~spl5880_3948 | ~spl5880_4145)),
% 58.08/9.41 inference(superposition,[],[f101403,f103045])).
% 58.08/9.41 tff(f105565,plain,(
% 58.08/9.41 spl5880_4457),
% 58.08/9.41 inference(avatar_split_clause,[],[f47808,f105563])).
% 58.08/9.41 tff(f105563,plain,(
% 58.08/9.41 spl5880_4457 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG960(X2,X1,X0,X3,X4) | ~iG961(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4457])])).
% 58.08/9.41 tff(f47808,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG960(X2,X1,X0,X3,X4) | ~iG961(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38326])).
% 58.08/9.41 tff(f105561,plain,(
% 58.08/9.41 spl5880_4456),
% 58.08/9.41 inference(avatar_split_clause,[],[f47806,f105559])).
% 58.08/9.41 tff(f105559,plain,(
% 58.08/9.41 spl5880_4456 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG962(X0,X1,X2,X3,X4) | ~iG961(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4456])])).
% 58.08/9.41 tff(f47806,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG962(X0,X1,X2,X3,X4) | ~iG961(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38325])).
% 58.08/9.41 tff(f38325,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG962(X0,X1,X2,X3,X4) | ~iG961(X2,X1,X0,X3,X4)) & (iG961(X2,X1,X0,X3,X4) | ~iG962(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG962(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27750])).
% 58.08/9.41 tff(f27750,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG962(X0,X1,X2,X3,X4) <=> iG961(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG962(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21698])).
% 58.08/9.41 tff(f21698,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG962(X0,X1,X2,X3,X4) <=> iG961(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG962(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21697])).
% 58.08/9.41 tff(f21697,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG962(X0,X1,X2,X3,X4) <=> iG961(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG962(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21696])).
% 58.08/9.41 tff(f21696,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG962(X0,X1,X2,X3,X4) <=> iG961(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG962(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15900])).
% 58.08/9.41 tff(f15900,plain,(
% 58.08/9.41 ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X4 => (iG962(X4,X1,X5,X6,X7) <=> iG961(X5,X1,X4,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X4 => (iG962(X4,X1,X5,X6,X7) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG962])])).
% 58.08/9.41 tff(f105557,plain,(
% 58.08/9.41 spl5880_4455),
% 58.08/9.41 inference(avatar_split_clause,[],[f47805,f105555])).
% 58.08/9.41 tff(f105555,plain,(
% 58.08/9.41 spl5880_4455 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG961(X2,X1,X0,X3,X4) | ~iG962(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4455])])).
% 58.08/9.41 tff(f47805,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG961(X2,X1,X0,X3,X4) | ~iG962(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38325])).
% 58.08/9.41 tff(f105553,plain,(
% 58.08/9.41 spl5880_4454),
% 58.08/9.41 inference(avatar_split_clause,[],[f47778,f105551])).
% 58.08/9.41 tff(f105551,plain,(
% 58.08/9.41 spl5880_4454 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG973(X0,X1,X2,X3,X4) | ~iG972(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4454])])).
% 58.08/9.41 tff(f47778,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG973(X0,X1,X2,X3,X4) | ~iG972(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38315])).
% 58.08/9.41 tff(f38315,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG973(X0,X1,X2,X3,X4) | ~iG972(X2,X1,X0,X3,X4)) & (iG972(X2,X1,X0,X3,X4) | ~iG973(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG973(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27744])).
% 58.08/9.41 tff(f27744,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG973(X0,X1,X2,X3,X4) <=> iG972(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG973(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21676])).
% 58.08/9.41 tff(f21676,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG973(X0,X1,X2,X3,X4) <=> iG972(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG973(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21675])).
% 58.08/9.41 tff(f21675,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG973(X0,X1,X2,X3,X4) <=> iG972(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG973(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21674])).
% 58.08/9.41 tff(f21674,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG973(X0,X1,X2,X3,X4) <=> iG972(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG973(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15913])).
% 58.08/9.41 tff(f15913,plain,(
% 58.08/9.41 ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X5 => (iG973(X5,X1,X4,X6,X7) <=> iG972(X4,X1,X5,X6,X7))) & ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X5 => (iG973(X5,X1,X4,X6,X7) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG973])])).
% 58.08/9.41 tff(f105549,plain,(
% 58.08/9.41 spl5880_4453),
% 58.08/9.41 inference(avatar_split_clause,[],[f47777,f105547])).
% 58.08/9.41 tff(f105547,plain,(
% 58.08/9.41 spl5880_4453 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG972(X2,X1,X0,X3,X4) | ~iG973(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4453])])).
% 58.08/9.41 tff(f47777,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG972(X2,X1,X0,X3,X4) | ~iG973(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38315])).
% 58.08/9.41 tff(f105545,plain,(
% 58.08/9.41 spl5880_4452),
% 58.08/9.41 inference(avatar_split_clause,[],[f47775,f105543])).
% 58.08/9.41 tff(f105543,plain,(
% 58.08/9.41 spl5880_4452 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG974(X0,X1,X2,X3,X4) | ~iG973(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4452])])).
% 58.08/9.41 tff(f47775,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG974(X0,X1,X2,X3,X4) | ~iG973(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38314])).
% 58.08/9.41 tff(f38314,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG974(X0,X1,X2,X3,X4) | ~iG973(X2,X1,X0,X3,X4)) & (iG973(X2,X1,X0,X3,X4) | ~iG974(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG974(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27743])).
% 58.08/9.41 tff(f27743,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG974(X0,X1,X2,X3,X4) <=> iG973(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG974(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f21673])).
% 58.08/9.41 tff(f21673,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG974(X0,X1,X2,X3,X4) <=> iG973(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG974(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f21672])).
% 58.08/9.41 tff(f21672,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG974(X0,X1,X2,X3,X4) <=> iG973(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG974(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f21671])).
% 58.08/9.41 tff(f21671,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG974(X0,X1,X2,X3,X4) <=> iG973(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG974(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f15914])).
% 58.08/9.41 tff(f15914,plain,(
% 58.08/9.41 ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X4 => (iG974(X4,X1,X5,X6,X7) <=> iG973(X5,X1,X4,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X4 => (iG974(X4,X1,X5,X6,X7) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG974])])).
% 58.08/9.41 tff(f105541,plain,(
% 58.08/9.41 spl5880_4451),
% 58.08/9.41 inference(avatar_split_clause,[],[f47774,f105539])).
% 58.08/9.41 tff(f105539,plain,(
% 58.08/9.41 spl5880_4451 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG973(X2,X1,X0,X3,X4) | ~iG974(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4451])])).
% 58.08/9.41 tff(f47774,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG973(X2,X1,X0,X3,X4) | ~iG974(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38314])).
% 58.08/9.41 tff(f105535,plain,(
% 58.08/9.41 spl5880_4450 | ~spl5880_1443 | ~spl5880_3637 | ~spl5880_4449),
% 58.08/9.41 inference(avatar_split_clause,[],[f105531,f105527,f99455,f85782,f105533])).
% 58.08/9.41 tff(f105533,plain,(
% 58.08/9.41 spl5880_4450 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG1452(X0,X1) = iG1451(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4450])])).
% 58.08/9.41 tff(f99455,plain,(
% 58.08/9.41 spl5880_3637 <=> ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG1451(X1,X0)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_3637])])).
% 58.08/9.41 tff(f105527,plain,(
% 58.08/9.41 spl5880_4449 <=> ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4449])])).
% 58.08/9.41 tff(f105531,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG1452(X0,X1) = iG1451(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3637 | ~spl5880_4449)),
% 58.08/9.41 inference(forward_demodulation,[],[f105530,f85784])).
% 58.08/9.41 tff(f105530,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (iG1452(X0,X1) = iG1451(X0,X1) | zero_zero(nat) = X0) ) | (~spl5880_3637 | ~spl5880_4449)),
% 58.08/9.41 inference(forward_demodulation,[],[f105528,f99456])).
% 58.08/9.41 tff(f99456,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG1451(X1,X0)) ) | ~spl5880_3637),
% 58.08/9.41 inference(avatar_component_clause,[],[f99455])).
% 58.08/9.41 tff(f105528,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_4449),
% 58.08/9.41 inference(avatar_component_clause,[],[f105527])).
% 58.08/9.41 tff(f105529,plain,(
% 58.08/9.41 spl5880_4449),
% 58.08/9.41 inference(avatar_split_clause,[],[f46864,f105527])).
% 58.08/9.41 tff(f46864,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1) | zero_zero(nat) = X0) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27536])).
% 58.08/9.41 tff(f27536,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG1452(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.08/9.41 inference(ennf_transformation,[],[f21062])).
% 58.08/9.41 tff(f21062,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG1452(X2,X3) = X3)),
% 58.08/9.41 inference(flattening,[],[f21061])).
% 58.08/9.41 tff(f21061,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1452(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG1452(X2,X3) = X3)),
% 58.08/9.41 inference(rectify,[],[f17842])).
% 58.08/9.41 tff(f17842,plain,(
% 58.08/9.41 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG1452(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG1452(X1,X0) = X0)),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1452])])).
% 58.08/9.41 tff(f105451,plain,(
% 58.08/9.41 spl5880_4448),
% 58.08/9.41 inference(avatar_split_clause,[],[f46726,f105449])).
% 58.08/9.41 tff(f105449,plain,(
% 58.08/9.41 spl5880_4448 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1515(X0,X1,X2,X3,X4) | ~iG1514(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4448])])).
% 58.08/9.41 tff(f46726,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1515(X0,X1,X2,X3,X4) | ~iG1514(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38040])).
% 58.08/9.41 tff(f38040,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG1515(X0,X1,X2,X3,X4) | ~iG1514(X2,X1,X0,X3,X4)) & (iG1514(X2,X1,X0,X3,X4) | ~iG1515(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG1515(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27510])).
% 58.08/9.41 tff(f27510,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1515(X0,X1,X2,X3,X4) <=> iG1514(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG1515(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f20970])).
% 58.08/9.41 tff(f20970,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1515(X0,X1,X2,X3,X4) <=> iG1514(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG1515(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f20969])).
% 58.08/9.41 tff(f20969,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1515(X0,X1,X2,X3,X4) <=> iG1514(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG1515(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f20968])).
% 58.08/9.41 tff(f20968,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1515(X0,X1,X2,X3,X4) <=> iG1514(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG1515(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f18015])).
% 58.08/9.41 tff(f18015,plain,(
% 58.08/9.41 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => (iG1515(X15,X1,X14,X16,X17) <=> iG1514(X14,X1,X15,X16,X17))) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => (iG1515(X15,X1,X14,X16,X17) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1515])])).
% 58.08/9.41 tff(f105447,plain,(
% 58.08/9.41 spl5880_4447),
% 58.08/9.41 inference(avatar_split_clause,[],[f46725,f105445])).
% 58.08/9.41 tff(f105445,plain,(
% 58.08/9.41 spl5880_4447 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG1514(X2,X1,X0,X3,X4) | ~iG1515(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4447])])).
% 58.08/9.41 tff(f46725,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1514(X2,X1,X0,X3,X4) | ~iG1515(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38040])).
% 58.08/9.41 tff(f105443,plain,(
% 58.08/9.41 spl5880_4446),
% 58.08/9.41 inference(avatar_split_clause,[],[f46723,f105441])).
% 58.08/9.41 tff(f105441,plain,(
% 58.08/9.41 spl5880_4446 <=> ! [X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (iG1516(X0,X1,X2,X3,X4) | ~iG1515(X2,X1,X0,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4446])])).
% 58.08/9.41 tff(f46723,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1516(X0,X1,X2,X3,X4) | ~iG1515(X2,X1,X0,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38039])).
% 58.08/9.41 tff(f38039,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG1516(X0,X1,X2,X3,X4) | ~iG1515(X2,X1,X0,X3,X4)) & (iG1515(X2,X1,X0,X3,X4) | ~iG1516(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG1516(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(nnf_transformation,[],[f27509])).
% 58.08/9.41 tff(f27509,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1516(X0,X1,X2,X3,X4) <=> iG1515(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG1516(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.41 inference(ennf_transformation,[],[f20967])).
% 58.08/9.41 tff(f20967,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1516(X0,X1,X2,X3,X4) <=> iG1515(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG1516(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(flattening,[],[f20966])).
% 58.08/9.41 tff(f20966,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1516(X0,X1,X2,X3,X4) <=> iG1515(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG1516(X5,X6,X7,X8,X9))),
% 58.08/9.41 inference(true_and_false_elimination,[],[f20965])).
% 58.08/9.41 tff(f20965,plain,(
% 58.08/9.41 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1516(X0,X1,X2,X3,X4) <=> iG1515(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG1516(X5,X6,X7,X8,X9) <=> $true))),
% 58.08/9.41 inference(rectify,[],[f18016])).
% 58.08/9.41 tff(f18016,plain,(
% 58.08/9.41 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => (iG1516(X14,X1,X15,X16,X17) <=> iG1515(X15,X1,X14,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => (iG1516(X14,X1,X15,X16,X17) <=> $true))),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1516])])).
% 58.08/9.41 tff(f105439,plain,(
% 58.08/9.41 spl5880_4445),
% 58.08/9.41 inference(avatar_split_clause,[],[f46722,f105437])).
% 58.08/9.41 tff(f105437,plain,(
% 58.08/9.41 spl5880_4445 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X1 : nat] : (iG1515(X2,X1,X0,X3,X4) | ~iG1516(X0,X1,X2,X3,X4) | X0 = X1)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4445])])).
% 58.08/9.41 tff(f46722,plain,(
% 58.08/9.41 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG1515(X2,X1,X0,X3,X4) | ~iG1516(X0,X1,X2,X3,X4) | X0 = X1) )),
% 58.08/9.41 inference(cnf_transformation,[],[f38039])).
% 58.08/9.41 tff(f105435,plain,(
% 58.08/9.41 spl5880_4444),
% 58.08/9.41 inference(avatar_split_clause,[],[f46529,f105433])).
% 58.08/9.41 tff(f105433,plain,(
% 58.08/9.41 spl5880_4444 <=> ! [X3 : $tType,X0 : $tType,X4 : set(X0),X2 : X3,X1 : set(X3)] : (bot_bot(set(X0)) = iG1605(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4444])])).
% 58.08/9.41 tff(f46529,plain,(
% 58.08/9.41 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : set(X0)] : (bot_bot(set(X0)) = iG1605(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.41 inference(cnf_transformation,[],[f27448])).
% 58.08/9.41 tff(f27448,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : set(X0)] : (bot_bot(set(X0)) = iG1605(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : set(X5)] : (iG1605(X5,X8,X6,X7,X9) = X9 | ~member(X8,X7,X6))),
% 58.08/9.41 inference(ennf_transformation,[],[f20824])).
% 58.08/9.41 tff(f20824,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : set(X0)] : (~member(X3,X2,X1) => bot_bot(set(X0)) = iG1605(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : set(X5)] : (member(X8,X7,X6) => iG1605(X5,X8,X6,X7,X9) = X9)),
% 58.08/9.41 inference(flattening,[],[f20823])).
% 58.08/9.41 tff(f20823,plain,(
% 58.08/9.41 ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : set(X0)] : (~member(X3,X2,X1) => bot_bot(set(X0)) = iG1605(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : set(X5)] : (member(X8,X7,X6) => iG1605(X5,X8,X6,X7,X9) = X9)),
% 58.08/9.41 inference(rectify,[],[f19845])).
% 58.08/9.41 tff(f19845,plain,(
% 58.08/9.41 ! [X1 : $tType,X5 : set(X0),X3 : X0,X0 : $tType,X4 : set(X1)] : (~member(X0,X3,X5) => bot_bot(set(X1)) = iG1605(X1,X0,X5,X3,X4)) & ! [X1 : $tType,X5 : set(X0),X3 : X0,X0 : $tType,X4 : set(X1)] : (member(X0,X3,X5) => iG1605(X1,X0,X5,X3,X4) = X4)),
% 58.08/9.41 introduced(fool_ite_definition,[new_symbols(definition,[iG1605])])).
% 58.08/9.41 tff(f105427,plain,(
% 58.08/9.41 spl5880_4145 | ~spl5880_1444 | ~spl5880_3796),
% 58.08/9.41 inference(avatar_split_clause,[],[f104248,f100639,f85787,f103044])).
% 58.08/9.41 tff(f85787,plain,(
% 58.08/9.41 spl5880_1444 <=> one_one(nat) = iG714($true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_1444])])).
% 58.08/9.41 tff(f100639,plain,(
% 58.08/9.41 spl5880_3796 <=> one_one(nat) = iG271),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_3796])])).
% 58.08/9.41 tff(f104248,plain,(
% 58.08/9.41 iG271 = iG714($true) | (~spl5880_1444 | ~spl5880_3796)),
% 58.08/9.41 inference(superposition,[],[f100641,f85789])).
% 58.08/9.41 tff(f85789,plain,(
% 58.08/9.41 one_one(nat) = iG714($true) | ~spl5880_1444),
% 58.08/9.41 inference(avatar_component_clause,[],[f85787])).
% 58.08/9.41 tff(f100641,plain,(
% 58.08/9.41 one_one(nat) = iG271 | ~spl5880_3796),
% 58.08/9.41 inference(avatar_component_clause,[],[f100639])).
% 58.08/9.41 tff(f105335,plain,(
% 58.08/9.41 spl5880_4332 | ~spl5880_1551 | ~spl5880_4106),
% 58.08/9.41 inference(avatar_split_clause,[],[f104162,f102881,f86382,f103847])).
% 58.08/9.41 tff(f103847,plain,(
% 58.08/9.41 spl5880_4332 <=> (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma) = $true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4332])])).
% 58.08/9.41 tff(f86382,plain,(
% 58.08/9.41 spl5880_1551 <=> mi = xa),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_1551])])).
% 58.08/9.41 tff(f102881,plain,(
% 58.08/9.41 spl5880_4106 <=> (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) = $true)),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4106])])).
% 58.08/9.41 tff(f104162,plain,(
% 58.08/9.41 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma) = $true) | (~spl5880_1551 | ~spl5880_4106)),
% 58.08/9.41 inference(forward_demodulation,[],[f102883,f86384])).
% 58.08/9.41 tff(f86384,plain,(
% 58.08/9.41 mi = xa | ~spl5880_1551),
% 58.08/9.41 inference(avatar_component_clause,[],[f86382])).
% 58.08/9.41 tff(f102883,plain,(
% 58.08/9.41 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) = $true) | ~spl5880_4106),
% 58.08/9.41 inference(avatar_component_clause,[],[f102881])).
% 58.08/9.41 tff(f105310,plain,(
% 58.08/9.41 spl5880_4443 | ~spl5880_1544 | ~spl5880_4383),
% 58.08/9.41 inference(avatar_split_clause,[],[f104105,f104102,f86336,f105308])).
% 58.08/9.41 tff(f105308,plain,(
% 58.08/9.41 spl5880_4443 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,$o),X1 : fun(nat,X2)] : (~sP2483(X2,iG717($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4443])])).
% 58.08/9.41 tff(f104102,plain,(
% 58.08/9.41 spl5880_4383 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,$o),X1 : fun(nat,X2)] : (~sP2483(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4383])])).
% 58.08/9.41 tff(f104105,plain,(
% 58.08/9.41 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2483(X2,iG717($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) ) | (~spl5880_1544 | ~spl5880_4383)),
% 58.08/9.41 inference(forward_demodulation,[],[f104103,f86338])).
% 58.08/9.41 tff(f104103,plain,(
% 58.08/9.41 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2483(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) ) | ~spl5880_4383),
% 58.08/9.41 inference(avatar_component_clause,[],[f104102])).
% 58.08/9.41 tff(f105306,plain,(
% 58.08/9.41 spl5880_4442 | ~spl5880_1544 | ~spl5880_4382),
% 58.08/9.41 inference(avatar_split_clause,[],[f104100,f104097,f86336,f105304])).
% 58.08/9.41 tff(f105304,plain,(
% 58.08/9.41 spl5880_4442 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,$o),X1 : fun(nat,X2)] : (~sP2482(X2,iG717($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4442])])).
% 58.08/9.41 tff(f104097,plain,(
% 58.08/9.41 spl5880_4382 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,$o),X1 : fun(nat,X2)] : (~sP2482(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4)))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4382])])).
% 58.08/9.41 tff(f104100,plain,(
% 58.08/9.41 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2482(X2,iG717($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) ) | (~spl5880_1544 | ~spl5880_4382)),
% 58.08/9.41 inference(forward_demodulation,[],[f104098,f86338])).
% 58.08/9.41 tff(f104098,plain,(
% 58.08/9.41 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2482(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) ) | ~spl5880_4382),
% 58.08/9.41 inference(avatar_component_clause,[],[f104097])).
% 58.08/9.41 tff(f105302,plain,(
% 58.08/9.41 spl5880_4441 | ~spl5880_1544 | ~spl5880_4381),
% 58.08/9.41 inference(avatar_split_clause,[],[f104095,f104092,f86336,f105300])).
% 58.08/9.41 tff(f105300,plain,(
% 58.08/9.41 spl5880_4441 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),iG717($true),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4441])])).
% 58.08/9.41 tff(f104092,plain,(
% 58.08/9.41 spl5880_4381 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),iG894($true),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4381])])).
% 58.08/9.41 tff(f104095,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),iG717($true),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1)) ) | (~spl5880_1544 | ~spl5880_4381)),
% 58.08/9.41 inference(forward_demodulation,[],[f104093,f86338])).
% 58.08/9.41 tff(f104093,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),iG894($true),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1)) ) | ~spl5880_4381),
% 58.08/9.41 inference(avatar_component_clause,[],[f104092])).
% 58.08/9.41 tff(f105298,plain,(
% 58.08/9.41 spl5880_4440 | ~spl5880_1444 | ~spl5880_3796 | ~spl5880_4439),
% 58.08/9.41 inference(avatar_split_clause,[],[f105294,f105291,f100639,f85787,f105296])).
% 58.08/9.41 tff(f105296,plain,(
% 58.08/9.41 spl5880_4440 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG271,sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4440])])).
% 58.08/9.41 tff(f105291,plain,(
% 58.08/9.41 spl5880_4439 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG714($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4439])])).
% 58.08/9.41 tff(f105294,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG271,sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) ) | (~spl5880_1444 | ~spl5880_3796 | ~spl5880_4439)),
% 58.08/9.41 inference(forward_demodulation,[],[f105292,f104248])).
% 58.08/9.41 tff(f105292,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG714($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) ) | ~spl5880_4439),
% 58.08/9.41 inference(avatar_component_clause,[],[f105291])).
% 58.08/9.41 tff(f105293,plain,(
% 58.08/9.41 spl5880_4439 | ~spl5880_1536 | ~spl5880_4380),
% 58.08/9.41 inference(avatar_split_clause,[],[f104090,f104087,f86300,f105291])).
% 58.08/9.41 tff(f104087,plain,(
% 58.08/9.41 spl5880_4380 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG1228($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4380])])).
% 58.08/9.41 tff(f104090,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG714($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4380)),
% 58.08/9.41 inference(forward_demodulation,[],[f104088,f86302])).
% 58.08/9.41 tff(f104088,plain,(
% 58.08/9.41 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG1228($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) ) | ~spl5880_4380),
% 58.08/9.41 inference(avatar_component_clause,[],[f104087])).
% 58.08/9.41 tff(f105287,plain,(
% 58.08/9.41 spl5880_4438 | ~spl5880_1544 | ~spl5880_4379),
% 58.08/9.41 inference(avatar_split_clause,[],[f104085,f104082,f86336,f105285])).
% 58.08/9.41 tff(f105285,plain,(
% 58.08/9.41 spl5880_4438 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),iG717($true),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4438])])).
% 58.08/9.41 tff(f104082,plain,(
% 58.08/9.41 spl5880_4379 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),iG894($true),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1))),
% 58.08/9.41 introduced(avatar_definition,[new_symbols(naming,[spl5880_4379])])).
% 58.08/9.41 tff(f104085,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),iG717($true),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1)) ) | (~spl5880_1544 | ~spl5880_4379)),
% 58.08/9.42 inference(forward_demodulation,[],[f104083,f86338])).
% 58.08/9.42 tff(f104083,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),iG894($true),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1)) ) | ~spl5880_4379),
% 58.08/9.42 inference(avatar_component_clause,[],[f104082])).
% 58.08/9.42 tff(f105283,plain,(
% 58.08/9.42 spl5880_4437 | ~spl5880_1444 | ~spl5880_3796 | ~spl5880_4436),
% 58.08/9.42 inference(avatar_split_clause,[],[f105279,f105276,f100639,f85787,f105281])).
% 58.08/9.42 tff(f105281,plain,(
% 58.08/9.42 spl5880_4437 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG271,sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4437])])).
% 58.08/9.42 tff(f105276,plain,(
% 58.08/9.42 spl5880_4436 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG714($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4436])])).
% 58.08/9.42 tff(f105279,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG271,sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) ) | (~spl5880_1444 | ~spl5880_3796 | ~spl5880_4436)),
% 58.08/9.42 inference(forward_demodulation,[],[f105277,f104248])).
% 58.08/9.42 tff(f105277,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG714($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) ) | ~spl5880_4436),
% 58.08/9.42 inference(avatar_component_clause,[],[f105276])).
% 58.08/9.42 tff(f105278,plain,(
% 58.08/9.42 spl5880_4436 | ~spl5880_1536 | ~spl5880_4378),
% 58.08/9.42 inference(avatar_split_clause,[],[f104080,f104077,f86300,f105276])).
% 58.08/9.42 tff(f104077,plain,(
% 58.08/9.42 spl5880_4378 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG1228($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4378])])).
% 58.08/9.42 tff(f104080,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG714($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) ) | (~spl5880_1536 | ~spl5880_4378)),
% 58.08/9.42 inference(forward_demodulation,[],[f104078,f86302])).
% 58.08/9.42 tff(f104078,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG1228($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) ) | ~spl5880_4378),
% 58.08/9.42 inference(avatar_component_clause,[],[f104077])).
% 58.08/9.42 tff(f105256,plain,(
% 58.08/9.42 spl5880_4435 | ~spl5880_1444 | ~spl5880_3796 | ~spl5880_4434),
% 58.08/9.42 inference(avatar_split_clause,[],[f105252,f105249,f100639,f85787,f105254])).
% 58.08/9.42 tff(f105254,plain,(
% 58.08/9.42 spl5880_4435 <=> ! [X2 : nat,X0 : $o,X1 : $o] : iG271 = vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4435])])).
% 58.08/9.42 tff(f105249,plain,(
% 58.08/9.42 spl5880_4434 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG714($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4434])])).
% 58.08/9.42 tff(f105252,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG271 = vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2))) ) | (~spl5880_1444 | ~spl5880_3796 | ~spl5880_4434)),
% 58.08/9.42 inference(forward_demodulation,[],[f105250,f104248])).
% 58.08/9.42 tff(f105250,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG714($true)) ) | ~spl5880_4434),
% 58.08/9.42 inference(avatar_component_clause,[],[f105249])).
% 58.08/9.42 tff(f105251,plain,(
% 58.08/9.42 spl5880_4434 | ~spl5880_1536 | ~spl5880_4376),
% 58.08/9.42 inference(avatar_split_clause,[],[f104071,f104068,f86300,f105249])).
% 58.08/9.42 tff(f104068,plain,(
% 58.08/9.42 spl5880_4376 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG1228($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4376])])).
% 58.08/9.42 tff(f104071,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4376)),
% 58.08/9.42 inference(forward_demodulation,[],[f104069,f86302])).
% 58.08/9.42 tff(f104069,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG1228($true)) ) | ~spl5880_4376),
% 58.08/9.42 inference(avatar_component_clause,[],[f104068])).
% 58.08/9.42 tff(f105233,plain,(
% 58.08/9.42 spl5880_4433 | ~spl5880_1444 | ~spl5880_2332 | ~spl5880_4388 | ~spl5880_4432),
% 58.08/9.42 inference(avatar_split_clause,[],[f105227,f105223,f104178,f90316,f85787,f105231])).
% 58.08/9.42 tff(f105231,plain,(
% 58.08/9.42 spl5880_4433 <=> ! [X2 : nat,X0 : $o,X1 : $o] : iG271 = vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4433])])).
% 58.08/9.42 tff(f90316,plain,(
% 58.08/9.42 spl5880_2332 <=> one_one(nat) = iG272),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2332])])).
% 58.08/9.42 tff(f104178,plain,(
% 58.08/9.42 spl5880_4388 <=> iG271 = iG272),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4388])])).
% 58.08/9.42 tff(f105223,plain,(
% 58.08/9.42 spl5880_4432 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG714($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4432])])).
% 58.08/9.42 tff(f105227,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG271 = vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2))) ) | (~spl5880_1444 | ~spl5880_2332 | ~spl5880_4388 | ~spl5880_4432)),
% 58.08/9.42 inference(forward_demodulation,[],[f105226,f104180])).
% 58.08/9.42 tff(f104180,plain,(
% 58.08/9.42 iG271 = iG272 | ~spl5880_4388),
% 58.08/9.42 inference(avatar_component_clause,[],[f104178])).
% 58.08/9.42 tff(f105226,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG272 = vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2))) ) | (~spl5880_1444 | ~spl5880_2332 | ~spl5880_4432)),
% 58.08/9.42 inference(forward_demodulation,[],[f105224,f100596])).
% 58.08/9.42 tff(f100596,plain,(
% 58.08/9.42 iG272 = iG714($true) | (~spl5880_1444 | ~spl5880_2332)),
% 58.08/9.42 inference(superposition,[],[f90318,f85789])).
% 58.08/9.42 tff(f90318,plain,(
% 58.08/9.42 one_one(nat) = iG272 | ~spl5880_2332),
% 58.08/9.42 inference(avatar_component_clause,[],[f90316])).
% 58.08/9.42 tff(f105224,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG714($true)) ) | ~spl5880_4432),
% 58.08/9.42 inference(avatar_component_clause,[],[f105223])).
% 58.08/9.42 tff(f105228,plain,(
% 58.08/9.42 spl5880_4058 | ~spl5880_1444 | ~spl5880_2332),
% 58.08/9.42 inference(avatar_split_clause,[],[f100596,f90316,f85787,f102470])).
% 58.08/9.42 tff(f102470,plain,(
% 58.08/9.42 spl5880_4058 <=> iG272 = iG714($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4058])])).
% 58.08/9.42 tff(f105225,plain,(
% 58.08/9.42 spl5880_4432 | ~spl5880_1536 | ~spl5880_4375),
% 58.08/9.42 inference(avatar_split_clause,[],[f104066,f104063,f86300,f105223])).
% 58.08/9.42 tff(f104063,plain,(
% 58.08/9.42 spl5880_4375 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG1228($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4375])])).
% 58.08/9.42 tff(f104066,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4375)),
% 58.08/9.42 inference(forward_demodulation,[],[f104064,f86302])).
% 58.08/9.42 tff(f104064,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG1228($true)) ) | ~spl5880_4375),
% 58.08/9.42 inference(avatar_component_clause,[],[f104063])).
% 58.08/9.42 tff(f105221,plain,(
% 58.08/9.42 spl5880_4431 | ~spl5880_1444 | ~spl5880_2332 | ~spl5880_4388 | ~spl5880_4430),
% 58.08/9.42 inference(avatar_split_clause,[],[f105217,f105213,f104178,f90316,f85787,f105219])).
% 58.08/9.42 tff(f105219,plain,(
% 58.08/9.42 spl5880_4431 <=> ! [X0 : $tType] : iG271 != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4431])])).
% 58.08/9.42 tff(f105213,plain,(
% 58.08/9.42 spl5880_4430 <=> ! [X0 : $tType] : iG714($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4430])])).
% 58.08/9.42 tff(f105217,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG271 != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) ) | (~spl5880_1444 | ~spl5880_2332 | ~spl5880_4388 | ~spl5880_4430)),
% 58.08/9.42 inference(forward_demodulation,[],[f105216,f104180])).
% 58.08/9.42 tff(f105216,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG272 != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) ) | (~spl5880_1444 | ~spl5880_2332 | ~spl5880_4430)),
% 58.08/9.42 inference(forward_demodulation,[],[f105214,f100596])).
% 58.08/9.42 tff(f105214,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG714($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) ) | ~spl5880_4430),
% 58.08/9.42 inference(avatar_component_clause,[],[f105213])).
% 58.08/9.42 tff(f105215,plain,(
% 58.08/9.42 spl5880_4430 | ~spl5880_1536 | ~spl5880_4374),
% 58.08/9.42 inference(avatar_split_clause,[],[f104061,f104058,f86300,f105213])).
% 58.08/9.42 tff(f104058,plain,(
% 58.08/9.42 spl5880_4374 <=> ! [X0 : $tType] : iG1228($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4374])])).
% 58.08/9.42 tff(f104061,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG714($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) ) | (~spl5880_1536 | ~spl5880_4374)),
% 58.08/9.42 inference(forward_demodulation,[],[f104059,f86302])).
% 58.08/9.42 tff(f104059,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG1228($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) ) | ~spl5880_4374),
% 58.08/9.42 inference(avatar_component_clause,[],[f104058])).
% 58.08/9.42 tff(f105190,plain,(
% 58.08/9.42 spl5880_4429 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4428),
% 58.08/9.42 inference(avatar_split_clause,[],[f105183,f105179,f104786,f90287,f85787,f105188])).
% 58.08/9.42 tff(f105188,plain,(
% 58.08/9.42 spl5880_4429 <=> ! [X0 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG271),aa(nat,nat,suc,X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4429])])).
% 58.08/9.42 tff(f105179,plain,(
% 58.08/9.42 spl5880_4428 <=> ! [X0 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),aa(nat,nat,suc,X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4428])])).
% 58.08/9.42 tff(f105183,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG271),aa(nat,nat,suc,X0)))) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4428)),
% 58.08/9.42 inference(forward_demodulation,[],[f105182,f104788])).
% 58.08/9.42 tff(f105182,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG290),aa(nat,nat,suc,X0)))) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4428)),
% 58.08/9.42 inference(forward_demodulation,[],[f105180,f100562])).
% 58.08/9.42 tff(f100562,plain,(
% 58.08/9.42 iG290 = iG714($true) | (~spl5880_1444 | ~spl5880_2328)),
% 58.08/9.42 inference(superposition,[],[f90289,f85789])).
% 58.08/9.42 tff(f105180,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),aa(nat,nat,suc,X0)))) ) | ~spl5880_4428),
% 58.08/9.42 inference(avatar_component_clause,[],[f105179])).
% 58.08/9.42 tff(f105184,plain,(
% 58.08/9.42 spl5880_4083 | ~spl5880_1444 | ~spl5880_2328),
% 58.08/9.42 inference(avatar_split_clause,[],[f100562,f90287,f85787,f102615])).
% 58.08/9.42 tff(f102615,plain,(
% 58.08/9.42 spl5880_4083 <=> iG290 = iG714($true)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4083])])).
% 58.08/9.42 tff(f105181,plain,(
% 58.08/9.42 spl5880_4428 | ~spl5880_1536 | ~spl5880_4363),
% 58.08/9.42 inference(avatar_split_clause,[],[f104002,f103999,f86300,f105179])).
% 58.08/9.42 tff(f103999,plain,(
% 58.08/9.42 spl5880_4363 <=> ! [X0 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),aa(nat,nat,suc,X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4363])])).
% 58.08/9.42 tff(f104002,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),aa(nat,nat,suc,X0)))) ) | (~spl5880_1536 | ~spl5880_4363)),
% 58.08/9.42 inference(forward_demodulation,[],[f104000,f86302])).
% 58.08/9.42 tff(f104000,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),aa(nat,nat,suc,X0)))) ) | ~spl5880_4363),
% 58.08/9.42 inference(avatar_component_clause,[],[f103999])).
% 58.08/9.42 tff(f105175,plain,(
% 58.08/9.42 spl5880_4427 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4426),
% 58.08/9.42 inference(avatar_split_clause,[],[f105171,f105167,f104786,f90287,f85787,f105173])).
% 58.08/9.42 tff(f105173,plain,(
% 58.08/9.42 spl5880_4427 <=> ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG271),X0)) | iG717($true) = X0)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4427])])).
% 58.08/9.42 tff(f105167,plain,(
% 58.08/9.42 spl5880_4426 <=> ! [X0 : nat] : (iG717($true) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4426])])).
% 58.08/9.42 tff(f105171,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG271),X0)) | iG717($true) = X0) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4426)),
% 58.08/9.42 inference(forward_demodulation,[],[f105170,f104788])).
% 58.08/9.42 tff(f105170,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG290),X0)) | iG717($true) = X0) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4426)),
% 58.08/9.42 inference(forward_demodulation,[],[f105168,f100562])).
% 58.08/9.42 tff(f105168,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG717($true) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),X0))) ) | ~spl5880_4426),
% 58.08/9.42 inference(avatar_component_clause,[],[f105167])).
% 58.08/9.42 tff(f105169,plain,(
% 58.08/9.42 spl5880_4426 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_4362),
% 58.08/9.42 inference(avatar_split_clause,[],[f103997,f103993,f86336,f86300,f105167])).
% 58.08/9.42 tff(f103993,plain,(
% 58.08/9.42 spl5880_4362 <=> ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),X0)) | iG894($true) = X0)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4362])])).
% 58.08/9.42 tff(f103997,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG717($true) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),X0))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_4362)),
% 58.08/9.42 inference(forward_demodulation,[],[f103996,f86338])).
% 58.08/9.42 tff(f103996,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),X0)) | iG894($true) = X0) ) | (~spl5880_1536 | ~spl5880_4362)),
% 58.08/9.42 inference(forward_demodulation,[],[f103994,f86302])).
% 58.08/9.42 tff(f103994,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),X0)) | iG894($true) = X0) ) | ~spl5880_4362),
% 58.08/9.42 inference(avatar_component_clause,[],[f103993])).
% 58.08/9.42 tff(f105165,plain,(
% 58.08/9.42 spl5880_4425 | ~spl5880_1544 | ~spl5880_4361),
% 58.08/9.42 inference(avatar_split_clause,[],[f103991,f103988,f86336,f105163])).
% 58.08/9.42 tff(f105163,plain,(
% 58.08/9.42 spl5880_4425 <=> ! [X0 : real] : (sK3362(X0) != iG717($true) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4425])])).
% 58.08/9.42 tff(f103988,plain,(
% 58.08/9.42 spl5880_4361 <=> ! [X0 : real] : (sK3362(X0) != iG894($true) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4361])])).
% 58.08/9.42 tff(f103991,plain,(
% 58.08/9.42 ( ! [X0 : real] : (sK3362(X0) != iG717($true) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))) ) | (~spl5880_1544 | ~spl5880_4361)),
% 58.08/9.42 inference(forward_demodulation,[],[f103989,f86338])).
% 58.08/9.42 tff(f103989,plain,(
% 58.08/9.42 ( ! [X0 : real] : (sK3362(X0) != iG894($true) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))) ) | ~spl5880_4361),
% 58.08/9.42 inference(avatar_component_clause,[],[f103988])).
% 58.08/9.42 tff(f105152,plain,(
% 58.08/9.42 spl5880_4424 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4423),
% 58.08/9.42 inference(avatar_split_clause,[],[f105148,f105144,f104786,f90287,f85787,f105150])).
% 58.08/9.42 tff(f105150,plain,(
% 58.08/9.42 spl5880_4424 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG271) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4424])])).
% 58.08/9.42 tff(f105144,plain,(
% 58.08/9.42 spl5880_4423 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG714($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4423])])).
% 58.08/9.42 tff(f105148,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG271) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4423)),
% 58.08/9.42 inference(forward_demodulation,[],[f105147,f104788])).
% 58.08/9.42 tff(f105147,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG290) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4423)),
% 58.08/9.42 inference(forward_demodulation,[],[f105145,f100562])).
% 58.08/9.42 tff(f105145,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG714($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | ~spl5880_4423),
% 58.08/9.42 inference(avatar_component_clause,[],[f105144])).
% 58.08/9.42 tff(f105146,plain,(
% 58.08/9.42 spl5880_4423 | ~spl5880_1536 | ~spl5880_4360),
% 58.08/9.42 inference(avatar_split_clause,[],[f103986,f103983,f86300,f105144])).
% 58.08/9.42 tff(f103983,plain,(
% 58.08/9.42 spl5880_4360 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG1228($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4360])])).
% 58.08/9.42 tff(f103986,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG714($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | (~spl5880_1536 | ~spl5880_4360)),
% 58.08/9.42 inference(forward_demodulation,[],[f103984,f86302])).
% 58.08/9.42 tff(f103984,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG1228($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) ) | ~spl5880_4360),
% 58.08/9.42 inference(avatar_component_clause,[],[f103983])).
% 58.08/9.42 tff(f105142,plain,(
% 58.08/9.42 spl5880_4422 | ~spl5880_1544 | ~spl5880_4359),
% 58.08/9.42 inference(avatar_split_clause,[],[f103981,f103978,f86336,f105140])).
% 58.08/9.42 tff(f105140,plain,(
% 58.08/9.42 spl5880_4422 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4422])])).
% 58.08/9.42 tff(f103978,plain,(
% 58.08/9.42 spl5880_4359 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != iG577(X0,one_one(X0),X1) | iG894($true) = X1 | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4359])])).
% 58.08/9.42 tff(f103981,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0)) ) | (~spl5880_1544 | ~spl5880_4359)),
% 58.08/9.42 inference(forward_demodulation,[],[f103979,f86338])).
% 58.08/9.42 tff(f103979,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != iG577(X0,one_one(X0),X1) | iG894($true) = X1 | ~semiring_char_0(X0)) ) | ~spl5880_4359),
% 58.08/9.42 inference(avatar_component_clause,[],[f103978])).
% 58.08/9.42 tff(f105124,plain,(
% 58.08/9.42 spl5880_4421 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4420),
% 58.08/9.42 inference(avatar_split_clause,[],[f105120,f105116,f104786,f90287,f85787,f105122])).
% 58.08/9.42 tff(f105122,plain,(
% 58.08/9.42 spl5880_4421 <=> ! [X0 : $tType,X1 : nat] : (iG271 = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4421])])).
% 58.08/9.42 tff(f105116,plain,(
% 58.08/9.42 spl5880_4420 <=> ! [X0 : $tType,X1 : nat] : (iG714($true) = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4420])])).
% 58.08/9.42 tff(f105120,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG271 = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4420)),
% 58.08/9.42 inference(forward_demodulation,[],[f105119,f104788])).
% 58.08/9.42 tff(f105119,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG290 = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4420)),
% 58.08/9.42 inference(forward_demodulation,[],[f105117,f100562])).
% 58.08/9.42 tff(f105117,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG714($true) = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0)) ) | ~spl5880_4420),
% 58.08/9.42 inference(avatar_component_clause,[],[f105116])).
% 58.08/9.42 tff(f105118,plain,(
% 58.08/9.42 spl5880_4420 | ~spl5880_1536 | ~spl5880_4358),
% 58.08/9.42 inference(avatar_split_clause,[],[f103976,f103973,f86300,f105116])).
% 58.08/9.42 tff(f103973,plain,(
% 58.08/9.42 spl5880_4358 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) != iG577(X0,one_one(X0),X1) | iG1228($true) = X1 | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4358])])).
% 58.08/9.42 tff(f103976,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG714($true) = X1 | one_one(X0) != iG577(X0,one_one(X0),X1) | ~semiring_char_0(X0)) ) | (~spl5880_1536 | ~spl5880_4358)),
% 58.08/9.42 inference(forward_demodulation,[],[f103974,f86302])).
% 58.08/9.42 tff(f103974,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) != iG577(X0,one_one(X0),X1) | iG1228($true) = X1 | ~semiring_char_0(X0)) ) | ~spl5880_4358),
% 58.08/9.42 inference(avatar_component_clause,[],[f103973])).
% 58.08/9.42 tff(f105082,plain,(
% 58.08/9.42 spl5880_4419 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4418),
% 58.08/9.42 inference(avatar_split_clause,[],[f105078,f105074,f104786,f90287,f85787,f105080])).
% 58.08/9.42 tff(f105080,plain,(
% 58.08/9.42 spl5880_4419 <=> ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | sP1940(X1,zero_zero(X1),X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4419])])).
% 58.08/9.42 tff(f105074,plain,(
% 58.08/9.42 spl5880_4418 <=> ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X2) | sP1940(X1,zero_zero(X1),X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4418])])).
% 58.08/9.42 tff(f105078,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG271),X2) | sP1940(X1,zero_zero(X1),X2)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4418)),
% 58.08/9.42 inference(forward_demodulation,[],[f105077,f104788])).
% 58.08/9.42 tff(f105077,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG290),X2) | sP1940(X1,zero_zero(X1),X2)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4418)),
% 58.08/9.42 inference(forward_demodulation,[],[f105075,f100562])).
% 58.08/9.42 tff(f105075,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X2) | sP1940(X1,zero_zero(X1),X2)) ) | ~spl5880_4418),
% 58.08/9.42 inference(avatar_component_clause,[],[f105074])).
% 58.08/9.42 tff(f105076,plain,(
% 58.08/9.42 spl5880_4418 | ~spl5880_1536 | ~spl5880_4356),
% 58.08/9.42 inference(avatar_split_clause,[],[f103967,f103964,f86300,f105074])).
% 58.08/9.42 tff(f103964,plain,(
% 58.08/9.42 spl5880_4356 <=> ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1940(X1,zero_zero(X1),X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4356])])).
% 58.08/9.42 tff(f103967,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X2) | sP1940(X1,zero_zero(X1),X2)) ) | (~spl5880_1536 | ~spl5880_4356)),
% 58.08/9.42 inference(forward_demodulation,[],[f103965,f86302])).
% 58.08/9.42 tff(f103965,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1940(X1,zero_zero(X1),X2)) ) | ~spl5880_4356),
% 58.08/9.42 inference(avatar_component_clause,[],[f103964])).
% 58.08/9.42 tff(f105072,plain,(
% 58.08/9.42 spl5880_4417 | ~spl5880_1544 | ~spl5880_4355),
% 58.08/9.42 inference(avatar_split_clause,[],[f103962,f103959,f86336,f105070])).
% 58.08/9.42 tff(f105070,plain,(
% 58.08/9.42 spl5880_4417 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG717($true)),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4417])])).
% 58.08/9.42 tff(f103959,plain,(
% 58.08/9.42 spl5880_4355 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4355])])).
% 58.08/9.42 tff(f103962,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG717($true)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) ) | (~spl5880_1544 | ~spl5880_4355)),
% 58.08/9.42 inference(forward_demodulation,[],[f103960,f86338])).
% 58.08/9.42 tff(f103960,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) ) | ~spl5880_4355),
% 58.08/9.42 inference(avatar_component_clause,[],[f103959])).
% 58.08/9.42 tff(f105068,plain,(
% 58.08/9.42 spl5880_4416 | ~spl5880_1544 | ~spl5880_4354),
% 58.08/9.42 inference(avatar_split_clause,[],[f103957,f103954,f86336,f105066])).
% 58.08/9.42 tff(f105066,plain,(
% 58.08/9.42 spl5880_4416 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG717($true),X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4416])])).
% 58.08/9.42 tff(f103954,plain,(
% 58.08/9.42 spl5880_4354 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4354])])).
% 58.08/9.42 tff(f103957,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG717($true),X0))) ) | (~spl5880_1544 | ~spl5880_4354)),
% 58.08/9.42 inference(forward_demodulation,[],[f103955,f86338])).
% 58.08/9.42 tff(f103955,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))) ) | ~spl5880_4354),
% 58.08/9.42 inference(avatar_component_clause,[],[f103954])).
% 58.08/9.42 tff(f105047,plain,(
% 58.08/9.42 spl5880_4415 | ~spl5880_1544 | ~spl5880_4351),
% 58.08/9.42 inference(avatar_split_clause,[],[f103942,f103939,f86336,f105045])).
% 58.08/9.42 tff(f105045,plain,(
% 58.08/9.42 spl5880_4415 <=> ! [X0 : nat] : iG717($true) = aa(nat,nat,binomial(iG717($true)),aa(nat,nat,suc,X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4415])])).
% 58.08/9.42 tff(f103939,plain,(
% 58.08/9.42 spl5880_4351 <=> ! [X0 : nat] : iG894($true) = aa(nat,nat,binomial(iG894($true)),aa(nat,nat,suc,X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4351])])).
% 58.08/9.42 tff(f103942,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG717($true) = aa(nat,nat,binomial(iG717($true)),aa(nat,nat,suc,X0))) ) | (~spl5880_1544 | ~spl5880_4351)),
% 58.08/9.42 inference(forward_demodulation,[],[f103940,f86338])).
% 58.08/9.42 tff(f103940,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,binomial(iG894($true)),aa(nat,nat,suc,X0))) ) | ~spl5880_4351),
% 58.08/9.42 inference(avatar_component_clause,[],[f103939])).
% 58.08/9.42 tff(f105043,plain,(
% 58.08/9.42 spl5880_4414 | ~spl5880_1544 | ~spl5880_4350),
% 58.08/9.42 inference(avatar_split_clause,[],[f103937,f103934,f86336,f105041])).
% 58.08/9.42 tff(f105041,plain,(
% 58.08/9.42 spl5880_4414 <=> ! [X0 : set(nat)] : ~member(nat,iG717($true),aa(set(nat),set(nat),image(nat,nat,suc),X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4414])])).
% 58.08/9.42 tff(f103934,plain,(
% 58.08/9.42 spl5880_4350 <=> ! [X0 : set(nat)] : ~member(nat,iG894($true),aa(set(nat),set(nat),image(nat,nat,suc),X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4350])])).
% 58.08/9.42 tff(f103937,plain,(
% 58.08/9.42 ( ! [X0 : set(nat)] : (~member(nat,iG717($true),aa(set(nat),set(nat),image(nat,nat,suc),X0))) ) | (~spl5880_1544 | ~spl5880_4350)),
% 58.08/9.42 inference(forward_demodulation,[],[f103935,f86338])).
% 58.08/9.42 tff(f103935,plain,(
% 58.08/9.42 ( ! [X0 : set(nat)] : (~member(nat,iG894($true),aa(set(nat),set(nat),image(nat,nat,suc),X0))) ) | ~spl5880_4350),
% 58.08/9.42 inference(avatar_component_clause,[],[f103934])).
% 58.08/9.42 tff(f105039,plain,(
% 58.08/9.42 spl5880_4413 | ~spl5880_1544 | ~spl5880_4349),
% 58.08/9.42 inference(avatar_split_clause,[],[f103932,f103928,f86336,f105036])).
% 58.08/9.42 tff(f105036,plain,(
% 58.08/9.42 spl5880_4413 <=> zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,iG631(iG717($true),iG717($true)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4413])])).
% 58.08/9.42 tff(f103928,plain,(
% 58.08/9.42 spl5880_4349 <=> zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,iG631(iG894($true),iG894($true)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4349])])).
% 58.08/9.42 tff(f103932,plain,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,iG631(iG717($true),iG717($true))) | (~spl5880_1544 | ~spl5880_4349)),
% 58.08/9.42 inference(forward_demodulation,[],[f103930,f86338])).
% 58.08/9.42 tff(f103930,plain,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,iG631(iG894($true),iG894($true))) | ~spl5880_4349),
% 58.08/9.42 inference(avatar_component_clause,[],[f103928])).
% 58.08/9.42 tff(f105034,plain,(
% 58.08/9.42 spl5880_4412 | ~spl5880_1544 | ~spl5880_4348),
% 58.08/9.42 inference(avatar_split_clause,[],[f103926,f103923,f86336,f105032])).
% 58.08/9.42 tff(f105032,plain,(
% 58.08/9.42 spl5880_4412 <=> ! [X0 : $tType,X3 : X0,X2 : nat,X1 : nat] : (iG717($true) = X1 | iG480(X0,X1,X2) = iG481(X0,X1,X2,X3))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4412])])).
% 58.08/9.42 tff(f103923,plain,(
% 58.08/9.42 spl5880_4348 <=> ! [X0 : $tType,X3 : X0,X2 : nat,X1 : nat] : (iG894($true) = X1 | iG480(X0,X1,X2) = iG481(X0,X1,X2,X3))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4348])])).
% 58.08/9.42 tff(f103926,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG717($true) = X1 | iG480(X0,X1,X2) = iG481(X0,X1,X2,X3)) ) | (~spl5880_1544 | ~spl5880_4348)),
% 58.08/9.42 inference(forward_demodulation,[],[f103924,f86338])).
% 58.08/9.42 tff(f103924,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG894($true) = X1 | iG480(X0,X1,X2) = iG481(X0,X1,X2,X3)) ) | ~spl5880_4348),
% 58.08/9.42 inference(avatar_component_clause,[],[f103923])).
% 58.08/9.42 tff(f105030,plain,(
% 58.08/9.42 spl5880_4411 | ~spl5880_1544 | ~spl5880_4347),
% 58.08/9.42 inference(avatar_split_clause,[],[f103921,f103918,f86336,f105028])).
% 58.08/9.42 tff(f105028,plain,(
% 58.08/9.42 spl5880_4411 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4411])])).
% 58.08/9.42 tff(f103918,plain,(
% 58.08/9.42 spl5880_4347 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4347])])).
% 58.08/9.42 tff(f103921,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) ) | (~spl5880_1544 | ~spl5880_4347)),
% 58.08/9.42 inference(forward_demodulation,[],[f103919,f86338])).
% 58.08/9.42 tff(f103919,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) ) | ~spl5880_4347),
% 58.08/9.42 inference(avatar_component_clause,[],[f103918])).
% 58.08/9.42 tff(f105018,plain,(
% 58.08/9.42 spl5880_4410 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4409),
% 58.08/9.42 inference(avatar_split_clause,[],[f105014,f105010,f104786,f90287,f85787,f105016])).
% 58.08/9.42 tff(f105016,plain,(
% 58.08/9.42 spl5880_4410 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG271 = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4410])])).
% 58.08/9.42 tff(f105010,plain,(
% 58.08/9.42 spl5880_4409 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4409])])).
% 58.08/9.42 tff(f105014,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG271 = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4407 | ~spl5880_4409)),
% 58.08/9.42 inference(forward_demodulation,[],[f105013,f104788])).
% 58.08/9.42 tff(f105013,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG290 = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_4409)),
% 58.08/9.42 inference(forward_demodulation,[],[f105011,f100562])).
% 58.08/9.42 tff(f105011,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) ) | ~spl5880_4409),
% 58.08/9.42 inference(avatar_component_clause,[],[f105010])).
% 58.08/9.42 tff(f105012,plain,(
% 58.08/9.42 spl5880_4409 | ~spl5880_1536 | ~spl5880_4345),
% 58.08/9.42 inference(avatar_split_clause,[],[f103912,f103909,f86300,f105010])).
% 58.08/9.42 tff(f103909,plain,(
% 58.08/9.42 spl5880_4345 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1228($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4345])])).
% 58.08/9.42 tff(f103912,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) ) | (~spl5880_1536 | ~spl5880_4345)),
% 58.08/9.42 inference(forward_demodulation,[],[f103910,f86302])).
% 58.08/9.42 tff(f103910,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1228($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) ) | ~spl5880_4345),
% 58.08/9.42 inference(avatar_component_clause,[],[f103909])).
% 58.08/9.42 tff(f104968,plain,(
% 58.08/9.42 spl5880_4408 | ~spl5880_1443 | ~spl5880_4336),
% 58.08/9.42 inference(avatar_split_clause,[],[f103874,f103871,f85782,f104966])).
% 58.08/9.42 tff(f104966,plain,(
% 58.08/9.42 spl5880_4408 <=> ! [X4 : $o,X5 : $o] : (bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),iG717($true)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4408])])).
% 58.08/9.42 tff(f103871,plain,(
% 58.08/9.42 spl5880_4336 <=> ! [X4 : $o,X5 : $o] : (bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),zero_zero(nat)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4336])])).
% 58.08/9.42 tff(f103874,plain,(
% 58.08/9.42 ( ! [X4 : $o,X5 : $o] : ((bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),iG717($true)))) ) | (~spl5880_1443 | ~spl5880_4336)),
% 58.08/9.42 inference(forward_demodulation,[],[f103872,f85784])).
% 58.08/9.42 tff(f103872,plain,(
% 58.08/9.42 ( ! [X4 : $o,X5 : $o] : ((bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),zero_zero(nat)))) ) | ~spl5880_4336),
% 58.08/9.42 inference(avatar_component_clause,[],[f103871])).
% 58.08/9.42 tff(f104789,plain,(
% 58.08/9.42 spl5880_4407 | ~spl5880_4388 | ~spl5880_4395),
% 58.08/9.42 inference(avatar_split_clause,[],[f104468,f104464,f104178,f104786])).
% 58.08/9.42 tff(f104464,plain,(
% 58.08/9.42 spl5880_4395 <=> iG272 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4395])])).
% 58.08/9.42 tff(f104468,plain,(
% 58.08/9.42 iG271 = iG290 | (~spl5880_4388 | ~spl5880_4395)),
% 58.08/9.42 inference(forward_demodulation,[],[f104466,f104180])).
% 58.08/9.42 tff(f104466,plain,(
% 58.08/9.42 iG272 = iG290 | ~spl5880_4395),
% 58.08/9.42 inference(avatar_component_clause,[],[f104464])).
% 58.08/9.42 tff(f104777,plain,(
% 58.08/9.42 ~spl5880_4406 | spl5880_2973 | ~spl5880_3796),
% 58.08/9.42 inference(avatar_split_clause,[],[f104254,f100639,f95101,f104774])).
% 58.08/9.42 tff(f104774,plain,(
% 58.08/9.42 spl5880_4406 <=> iG270 = iG271),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4406])])).
% 58.08/9.42 tff(f95101,plain,(
% 58.08/9.42 spl5880_2973 <=> one_one(nat) = iG270),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2973])])).
% 58.08/9.42 tff(f104254,plain,(
% 58.08/9.42 iG270 != iG271 | (spl5880_2973 | ~spl5880_3796)),
% 58.08/9.42 inference(superposition,[],[f95102,f100641])).
% 58.08/9.42 tff(f95102,plain,(
% 58.08/9.42 one_one(nat) != iG270 | spl5880_2973),
% 58.08/9.42 inference(avatar_component_clause,[],[f95101])).
% 58.08/9.42 tff(f104772,plain,(
% 58.08/9.42 ~spl5880_4405 | spl5880_2970 | ~spl5880_3795 | ~spl5880_4389),
% 58.08/9.42 inference(avatar_split_clause,[],[f104219,f104183,f100590,f95085,f104769])).
% 58.08/9.42 tff(f104769,plain,(
% 58.08/9.42 spl5880_4405 <=> iG271 = iG281),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4405])])).
% 58.08/9.42 tff(f95085,plain,(
% 58.08/9.42 spl5880_2970 <=> one_one(nat) = iG281),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2970])])).
% 58.08/9.42 tff(f100590,plain,(
% 58.08/9.42 spl5880_3795 <=> one_one(nat) = iG289),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_3795])])).
% 58.08/9.42 tff(f104219,plain,(
% 58.08/9.42 iG271 != iG281 | (spl5880_2970 | ~spl5880_3795 | ~spl5880_4389)),
% 58.08/9.42 inference(forward_demodulation,[],[f104192,f104185])).
% 58.08/9.42 tff(f104185,plain,(
% 58.08/9.42 iG271 = iG289 | ~spl5880_4389),
% 58.08/9.42 inference(avatar_component_clause,[],[f104183])).
% 58.08/9.42 tff(f104192,plain,(
% 58.08/9.42 iG281 != iG289 | (spl5880_2970 | ~spl5880_3795)),
% 58.08/9.42 inference(superposition,[],[f95086,f100592])).
% 58.08/9.42 tff(f100592,plain,(
% 58.08/9.42 one_one(nat) = iG289 | ~spl5880_3795),
% 58.08/9.42 inference(avatar_component_clause,[],[f100590])).
% 58.08/9.42 tff(f95086,plain,(
% 58.08/9.42 one_one(nat) != iG281 | spl5880_2970),
% 58.08/9.42 inference(avatar_component_clause,[],[f95085])).
% 58.08/9.42 tff(f104767,plain,(
% 58.08/9.42 ~spl5880_4404 | spl5880_2968 | ~spl5880_3795 | ~spl5880_4389),
% 58.08/9.42 inference(avatar_split_clause,[],[f104218,f104183,f100590,f95075,f104764])).
% 58.08/9.42 tff(f104764,plain,(
% 58.08/9.42 spl5880_4404 <=> iG271 = iG288),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4404])])).
% 58.08/9.42 tff(f95075,plain,(
% 58.08/9.42 spl5880_2968 <=> one_one(nat) = iG288),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2968])])).
% 58.08/9.42 tff(f104218,plain,(
% 58.08/9.42 iG271 != iG288 | (spl5880_2968 | ~spl5880_3795 | ~spl5880_4389)),
% 58.08/9.42 inference(forward_demodulation,[],[f104191,f104185])).
% 58.08/9.42 tff(f104191,plain,(
% 58.08/9.42 iG288 != iG289 | (spl5880_2968 | ~spl5880_3795)),
% 58.08/9.42 inference(superposition,[],[f95076,f100592])).
% 58.08/9.42 tff(f95076,plain,(
% 58.08/9.42 one_one(nat) != iG288 | spl5880_2968),
% 58.08/9.42 inference(avatar_component_clause,[],[f95075])).
% 58.08/9.42 tff(f104762,plain,(
% 58.08/9.42 ~spl5880_4403 | spl5880_2239 | ~spl5880_3795 | ~spl5880_4389),
% 58.08/9.42 inference(avatar_split_clause,[],[f104217,f104183,f100590,f89913,f104759])).
% 58.08/9.42 tff(f104759,plain,(
% 58.08/9.42 spl5880_4403 <=> iG268 = iG271),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4403])])).
% 58.08/9.42 tff(f89913,plain,(
% 58.08/9.42 spl5880_2239 <=> one_one(nat) = iG268),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2239])])).
% 58.08/9.42 tff(f104217,plain,(
% 58.08/9.42 iG268 != iG271 | (spl5880_2239 | ~spl5880_3795 | ~spl5880_4389)),
% 58.08/9.42 inference(forward_demodulation,[],[f104190,f104185])).
% 58.08/9.42 tff(f104190,plain,(
% 58.08/9.42 iG268 != iG289 | (spl5880_2239 | ~spl5880_3795)),
% 58.08/9.42 inference(superposition,[],[f89914,f100592])).
% 58.08/9.42 tff(f89914,plain,(
% 58.08/9.42 one_one(nat) != iG268 | spl5880_2239),
% 58.08/9.42 inference(avatar_component_clause,[],[f89913])).
% 58.08/9.42 tff(f104757,plain,(
% 58.08/9.42 ~spl5880_4402 | spl5880_2236 | ~spl5880_3795 | ~spl5880_4389),
% 58.08/9.42 inference(avatar_split_clause,[],[f104216,f104183,f100590,f89888,f104754])).
% 58.08/9.42 tff(f104754,plain,(
% 58.08/9.42 spl5880_4402 <=> iG271 = iG286),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4402])])).
% 58.08/9.42 tff(f89888,plain,(
% 58.08/9.42 spl5880_2236 <=> one_one(nat) = iG286),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2236])])).
% 58.08/9.42 tff(f104216,plain,(
% 58.08/9.42 iG271 != iG286 | (spl5880_2236 | ~spl5880_3795 | ~spl5880_4389)),
% 58.08/9.42 inference(forward_demodulation,[],[f104189,f104185])).
% 58.08/9.42 tff(f104189,plain,(
% 58.08/9.42 iG286 != iG289 | (spl5880_2236 | ~spl5880_3795)),
% 58.08/9.42 inference(superposition,[],[f89889,f100592])).
% 58.08/9.42 tff(f89889,plain,(
% 58.08/9.42 one_one(nat) != iG286 | spl5880_2236),
% 58.08/9.42 inference(avatar_component_clause,[],[f89888])).
% 58.08/9.42 tff(f104752,plain,(
% 58.08/9.42 ~spl5880_4401 | spl5880_2973 | ~spl5880_3795),
% 58.08/9.42 inference(avatar_split_clause,[],[f104193,f100590,f95101,f104749])).
% 58.08/9.42 tff(f104749,plain,(
% 58.08/9.42 spl5880_4401 <=> iG270 = iG289),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4401])])).
% 58.08/9.42 tff(f104193,plain,(
% 58.08/9.42 iG270 != iG289 | (spl5880_2973 | ~spl5880_3795)),
% 58.08/9.42 inference(superposition,[],[f95102,f100592])).
% 58.08/9.42 tff(f104735,plain,(
% 58.08/9.42 ~spl5880_4400 | ~spl5880_2332 | spl5880_2973),
% 58.08/9.42 inference(avatar_split_clause,[],[f100603,f95101,f90316,f104732])).
% 58.08/9.42 tff(f104732,plain,(
% 58.08/9.42 spl5880_4400 <=> iG270 = iG272),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4400])])).
% 58.08/9.42 tff(f100603,plain,(
% 58.08/9.42 iG270 != iG272 | (~spl5880_2332 | spl5880_2973)),
% 58.08/9.42 inference(superposition,[],[f95102,f90318])).
% 58.08/9.42 tff(f104692,plain,(
% 58.08/9.42 ~spl5880_4399 | ~spl5880_2332 | spl5880_2970),
% 58.08/9.42 inference(avatar_split_clause,[],[f100602,f95085,f90316,f104689])).
% 58.08/9.42 tff(f104689,plain,(
% 58.08/9.42 spl5880_4399 <=> iG272 = iG281),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4399])])).
% 58.08/9.42 tff(f100602,plain,(
% 58.08/9.42 iG272 != iG281 | (~spl5880_2332 | spl5880_2970)),
% 58.08/9.42 inference(superposition,[],[f95086,f90318])).
% 58.08/9.42 tff(f104680,plain,(
% 58.08/9.42 ~spl5880_4398 | ~spl5880_2332 | spl5880_2968),
% 58.08/9.42 inference(avatar_split_clause,[],[f100601,f95075,f90316,f104677])).
% 58.08/9.42 tff(f104677,plain,(
% 58.08/9.42 spl5880_4398 <=> iG272 = iG288),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4398])])).
% 58.08/9.42 tff(f100601,plain,(
% 58.08/9.42 iG272 != iG288 | (~spl5880_2332 | spl5880_2968)),
% 58.08/9.42 inference(superposition,[],[f95076,f90318])).
% 58.08/9.42 tff(f104612,plain,(
% 58.08/9.42 ~spl5880_4397 | spl5880_2239 | ~spl5880_2332),
% 58.08/9.42 inference(avatar_split_clause,[],[f100599,f90316,f89913,f104609])).
% 58.08/9.42 tff(f104609,plain,(
% 58.08/9.42 spl5880_4397 <=> iG268 = iG272),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4397])])).
% 58.08/9.42 tff(f100599,plain,(
% 58.08/9.42 iG268 != iG272 | (spl5880_2239 | ~spl5880_2332)),
% 58.08/9.42 inference(superposition,[],[f89914,f90318])).
% 58.08/9.42 tff(f104527,plain,(
% 58.08/9.42 ~spl5880_4396 | spl5880_2236 | ~spl5880_2332),
% 58.08/9.42 inference(avatar_split_clause,[],[f100598,f90316,f89888,f104524])).
% 58.08/9.42 tff(f104524,plain,(
% 58.08/9.42 spl5880_4396 <=> iG272 = iG286),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4396])])).
% 58.08/9.42 tff(f100598,plain,(
% 58.08/9.42 iG272 != iG286 | (spl5880_2236 | ~spl5880_2332)),
% 58.08/9.42 inference(superposition,[],[f89889,f90318])).
% 58.08/9.42 tff(f104467,plain,(
% 58.08/9.42 spl5880_4395 | ~spl5880_2328 | ~spl5880_2332),
% 58.08/9.42 inference(avatar_split_clause,[],[f100595,f90316,f90287,f104464])).
% 58.08/9.42 tff(f100595,plain,(
% 58.08/9.42 iG272 = iG290 | (~spl5880_2328 | ~spl5880_2332)),
% 58.08/9.42 inference(superposition,[],[f90318,f90289])).
% 58.08/9.42 tff(f104428,plain,(
% 58.08/9.42 ~spl5880_4394 | ~spl5880_2328 | spl5880_2973),
% 58.08/9.42 inference(avatar_split_clause,[],[f100569,f95101,f90287,f104425])).
% 58.08/9.42 tff(f104425,plain,(
% 58.08/9.42 spl5880_4394 <=> iG270 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4394])])).
% 58.08/9.42 tff(f100569,plain,(
% 58.08/9.42 iG270 != iG290 | (~spl5880_2328 | spl5880_2973)),
% 58.08/9.42 inference(superposition,[],[f95102,f90289])).
% 58.08/9.42 tff(f104301,plain,(
% 58.08/9.42 ~spl5880_4393 | ~spl5880_2328 | spl5880_2970),
% 58.08/9.42 inference(avatar_split_clause,[],[f100568,f95085,f90287,f104298])).
% 58.08/9.42 tff(f104298,plain,(
% 58.08/9.42 spl5880_4393 <=> iG281 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4393])])).
% 58.08/9.42 tff(f100568,plain,(
% 58.08/9.42 iG281 != iG290 | (~spl5880_2328 | spl5880_2970)),
% 58.08/9.42 inference(superposition,[],[f95086,f90289])).
% 58.08/9.42 tff(f104287,plain,(
% 58.08/9.42 ~spl5880_4392 | ~spl5880_2328 | spl5880_2968),
% 58.08/9.42 inference(avatar_split_clause,[],[f100567,f95075,f90287,f104284])).
% 58.08/9.42 tff(f104284,plain,(
% 58.08/9.42 spl5880_4392 <=> iG288 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4392])])).
% 58.08/9.42 tff(f100567,plain,(
% 58.08/9.42 iG288 != iG290 | (~spl5880_2328 | spl5880_2968)),
% 58.08/9.42 inference(superposition,[],[f95076,f90289])).
% 58.08/9.42 tff(f104279,plain,(
% 58.08/9.42 spl5880_4391 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_3797),
% 58.08/9.42 inference(avatar_split_clause,[],[f100666,f100663,f90287,f85787,f104277])).
% 58.08/9.42 tff(f104277,plain,(
% 58.08/9.42 spl5880_4391 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG290) = X1 | ~sP2155(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4391])])).
% 58.08/9.42 tff(f100663,plain,(
% 58.08/9.42 spl5880_3797 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2155(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_3797])])).
% 58.08/9.42 tff(f100666,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG290) = X1 | ~sP2155(X0,X1,X2)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_3797)),
% 58.08/9.42 inference(forward_demodulation,[],[f100664,f100562])).
% 58.08/9.42 tff(f100664,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (~sP2155(X0,X1,X2) | aa(nat,nat,suc,iG714($true)) = X1) ) | ~spl5880_3797),
% 58.08/9.42 inference(avatar_component_clause,[],[f100663])).
% 58.08/9.42 tff(f104245,plain,(
% 58.08/9.42 ~spl5880_4390 | spl5880_2239 | ~spl5880_2328),
% 58.08/9.42 inference(avatar_split_clause,[],[f100565,f90287,f89913,f104242])).
% 58.08/9.42 tff(f104242,plain,(
% 58.08/9.42 spl5880_4390 <=> iG268 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4390])])).
% 58.08/9.42 tff(f100565,plain,(
% 58.08/9.42 iG268 != iG290 | (spl5880_2239 | ~spl5880_2328)),
% 58.08/9.42 inference(superposition,[],[f89914,f90289])).
% 58.08/9.42 tff(f104186,plain,(
% 58.08/9.42 spl5880_4389 | ~spl5880_2328 | ~spl5880_2332 | ~spl5880_3796 | ~spl5880_4387),
% 58.08/9.42 inference(avatar_split_clause,[],[f104175,f104170,f100639,f90316,f90287,f104183])).
% 58.08/9.42 tff(f104170,plain,(
% 58.08/9.42 spl5880_4387 <=> iG289 = iG290),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4387])])).
% 58.08/9.42 tff(f104175,plain,(
% 58.08/9.42 iG271 = iG289 | (~spl5880_2328 | ~spl5880_2332 | ~spl5880_3796 | ~spl5880_4387)),
% 58.08/9.42 inference(forward_demodulation,[],[f104174,f104168])).
% 58.08/9.42 tff(f104168,plain,(
% 58.08/9.42 iG271 = iG272 | (~spl5880_2332 | ~spl5880_3796)),
% 58.08/9.42 inference(forward_demodulation,[],[f90318,f100641])).
% 58.08/9.42 tff(f104174,plain,(
% 58.08/9.42 iG272 = iG289 | (~spl5880_2328 | ~spl5880_2332 | ~spl5880_4387)),
% 58.08/9.42 inference(forward_demodulation,[],[f104172,f100595])).
% 58.08/9.42 tff(f104172,plain,(
% 58.08/9.42 iG289 = iG290 | ~spl5880_4387),
% 58.08/9.42 inference(avatar_component_clause,[],[f104170])).
% 58.08/9.42 tff(f104181,plain,(
% 58.08/9.42 spl5880_4388 | ~spl5880_2332 | ~spl5880_3796),
% 58.08/9.42 inference(avatar_split_clause,[],[f104168,f100639,f90316,f104178])).
% 58.08/9.42 tff(f104176,plain,(
% 58.08/9.42 ~spl5880_2330 | spl5880_2327 | ~spl5880_3785),
% 58.08/9.42 inference(avatar_split_clause,[],[f104160,f100513,f90283,f90299])).
% 58.08/9.42 tff(f90299,plain,(
% 58.08/9.42 spl5880_2330 <=> ma = iG269),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2330])])).
% 58.08/9.42 tff(f90283,plain,(
% 58.08/9.42 spl5880_2327 <=> ma = iG287),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2327])])).
% 58.08/9.42 tff(f100513,plain,(
% 58.08/9.42 spl5880_3785 <=> iG269 = iG287),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_3785])])).
% 58.08/9.42 tff(f104160,plain,(
% 58.08/9.42 ma != iG269 | (spl5880_2327 | ~spl5880_3785)),
% 58.08/9.42 inference(forward_demodulation,[],[f90284,f100514])).
% 58.08/9.42 tff(f100514,plain,(
% 58.08/9.42 iG269 = iG287 | ~spl5880_3785),
% 58.08/9.42 inference(avatar_component_clause,[],[f100513])).
% 58.08/9.42 tff(f90284,plain,(
% 58.08/9.42 ma != iG287 | spl5880_2327),
% 58.08/9.42 inference(avatar_component_clause,[],[f90283])).
% 58.08/9.42 tff(f104173,plain,(
% 58.08/9.42 spl5880_4387 | ~spl5880_2328 | ~spl5880_3795),
% 58.08/9.42 inference(avatar_split_clause,[],[f104159,f100590,f90287,f104170])).
% 58.08/9.42 tff(f104159,plain,(
% 58.08/9.42 iG289 = iG290 | (~spl5880_2328 | ~spl5880_3795)),
% 58.08/9.42 inference(forward_demodulation,[],[f90289,f100592])).
% 58.08/9.42 tff(f104161,plain,(
% 58.08/9.42 ~spl5880_3785 | spl5880_2327 | ~spl5880_2330),
% 58.08/9.42 inference(avatar_split_clause,[],[f100561,f90299,f90283,f100513])).
% 58.08/9.42 tff(f100561,plain,(
% 58.08/9.42 iG269 != iG287 | (spl5880_2327 | ~spl5880_2330)),
% 58.08/9.42 inference(forward_demodulation,[],[f90284,f90301])).
% 58.08/9.42 tff(f90301,plain,(
% 58.08/9.42 ma = iG269 | ~spl5880_2330),
% 58.08/9.42 inference(avatar_component_clause,[],[f90299])).
% 58.08/9.42 tff(f104145,plain,(
% 58.08/9.42 spl5880_4386 | ~spl5880_1551 | ~spl5880_2327 | ~spl5880_3785 | ~spl5880_4106),
% 58.08/9.42 inference(avatar_split_clause,[],[f102887,f102881,f100513,f90283,f86382,f104142])).
% 58.08/9.42 tff(f104142,plain,(
% 58.08/9.42 spl5880_4386 <=> ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),iG269))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4386])])).
% 58.08/9.42 tff(f102887,plain,(
% 58.08/9.42 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),iG269)) | (~spl5880_1551 | ~spl5880_2327 | ~spl5880_3785 | ~spl5880_4106)),
% 58.08/9.42 inference(forward_demodulation,[],[f102886,f86384])).
% 58.08/9.42 tff(f102886,plain,(
% 58.08/9.42 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),iG269)) | (~spl5880_2327 | ~spl5880_3785 | ~spl5880_4106)),
% 58.08/9.42 inference(forward_demodulation,[],[f102885,f100514])).
% 58.08/9.42 tff(f102885,plain,(
% 58.08/9.42 ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),iG287)) | (~spl5880_2327 | ~spl5880_4106)),
% 58.08/9.42 inference(forward_demodulation,[],[f102883,f90285])).
% 58.08/9.42 tff(f90285,plain,(
% 58.08/9.42 ma = iG287 | ~spl5880_2327),
% 58.08/9.42 inference(avatar_component_clause,[],[f90283])).
% 58.08/9.42 tff(f104113,plain,(
% 58.08/9.42 spl5880_4385 | ~spl5880_1444 | ~spl5880_4098),
% 58.08/9.42 inference(avatar_split_clause,[],[f102847,f102844,f85787,f104111])).
% 58.08/9.42 tff(f104111,plain,(
% 58.08/9.42 spl5880_4385 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4385])])).
% 58.08/9.42 tff(f102844,plain,(
% 58.08/9.42 spl5880_4098 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1)) | one_one(nat) = X0)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4098])])).
% 58.08/9.42 tff(f102847,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1))) ) | (~spl5880_1444 | ~spl5880_4098)),
% 58.08/9.42 inference(forward_demodulation,[],[f102845,f85789])).
% 58.08/9.42 tff(f102845,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1)) | one_one(nat) = X0) ) | ~spl5880_4098),
% 58.08/9.42 inference(avatar_component_clause,[],[f102844])).
% 58.08/9.42 tff(f104109,plain,(
% 58.08/9.42 spl5880_4384 | ~spl5880_1444 | ~spl5880_4097),
% 58.08/9.42 inference(avatar_split_clause,[],[f102842,f102839,f85787,f104107])).
% 58.08/9.42 tff(f104107,plain,(
% 58.08/9.42 spl5880_4384 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4384])])).
% 58.08/9.42 tff(f102839,plain,(
% 58.08/9.42 spl5880_4097 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1)) | one_one(nat) = X0)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4097])])).
% 58.08/9.42 tff(f102842,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG714($true) = X0 | iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1))) ) | (~spl5880_1444 | ~spl5880_4097)),
% 58.08/9.42 inference(forward_demodulation,[],[f102840,f85789])).
% 58.08/9.42 tff(f102840,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1)) | one_one(nat) = X0) ) | ~spl5880_4097),
% 58.08/9.42 inference(avatar_component_clause,[],[f102839])).
% 58.08/9.42 tff(f104104,plain,(
% 58.08/9.42 spl5880_4383),
% 58.08/9.42 inference(avatar_split_clause,[],[f77801,f104102])).
% 58.08/9.42 tff(f77801,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2483(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f68984,f67338])).
% 58.08/9.42 tff(f68984,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (($true = aa(X2,$o,X3,X4)) | ~sP2483(X2,zero_zero(nat),X1,X3,X4)) )),
% 58.08/9.42 inference(equality_resolution,[],[f64157])).
% 58.08/9.42 tff(f64157,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X0 : nat,X1 : fun(nat,X2),X4 : X2] : (($true = aa(X2,$o,X3,X4)) | zero_zero(nat) != X0 | ~sP2483(X2,X0,X1,X3,X4)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45716])).
% 58.08/9.42 tff(f45716,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : fun(nat,X2),X2 : $tType,X3 : fun(X2,$o),X4 : X2] : ((sP2483(X2,X0,X1,X3,X4) | (($true != aa(X2,$o,X3,aa(nat,X2,X1,pred(X0)))) & aa(nat,nat,suc,pred(X0)) = X0) | (($true != aa(X2,$o,X3,X4)) & zero_zero(nat) = X0)) & (((($true = aa(X2,$o,X3,aa(nat,X2,X1,pred(X0)))) | aa(nat,nat,suc,pred(X0)) != X0) & (($true = aa(X2,$o,X3,X4)) | zero_zero(nat) != X0)) | ~sP2483(X2,X0,X1,X3,X4)))),
% 58.08/9.42 inference(rectify,[],[f45715])).
% 58.08/9.42 tff(f45715,plain,(
% 58.08/9.42 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : ((sP2483(X0,X4,X3,X1,X2) | (($true != aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (($true != aa(X0,$o,X1,X2)) & zero_zero(nat) = X4)) & (((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)) | ~sP2483(X0,X4,X3,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f45714])).
% 58.08/9.42 tff(f45714,plain,(
% 58.08/9.42 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : ((sP2483(X0,X4,X3,X1,X2) | ((($true != aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (($true != aa(X0,$o,X1,X2)) & zero_zero(nat) = X4))) & (((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)) | ~sP2483(X0,X4,X3,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37898])).
% 58.08/9.42 tff(f104099,plain,(
% 58.08/9.42 spl5880_4382),
% 58.08/9.42 inference(avatar_split_clause,[],[f77792,f104097])).
% 58.08/9.42 tff(f77792,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (~sP2482(X2,iG894($true),X1,X3,X4) | ($true = aa(X2,$o,X3,X4))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f68983,f67338])).
% 58.08/9.42 tff(f68983,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X1 : fun(nat,X2),X4 : X2] : (($true = aa(X2,$o,X3,X4)) | ~sP2482(X2,zero_zero(nat),X1,X3,X4)) )),
% 58.08/9.42 inference(equality_resolution,[],[f64149])).
% 58.08/9.42 tff(f64149,plain,(
% 58.08/9.42 ( ! [X2 : $tType,X3 : fun(X2,$o),X0 : nat,X1 : fun(nat,X2),X4 : X2] : (($true = aa(X2,$o,X3,X4)) | zero_zero(nat) != X0 | ~sP2482(X2,X0,X1,X3,X4)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45712])).
% 58.08/9.42 tff(f45712,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : fun(nat,X2),X2 : $tType,X3 : fun(X2,$o),X4 : X2] : ((sP2482(X2,X0,X1,X3,X4) | (($true != aa(X2,$o,X3,aa(nat,X2,X1,pred(X0)))) & aa(nat,nat,suc,pred(X0)) = X0) | (($true != aa(X2,$o,X3,X4)) & zero_zero(nat) = X0)) & (((($true = aa(X2,$o,X3,aa(nat,X2,X1,pred(X0)))) | aa(nat,nat,suc,pred(X0)) != X0) & (($true = aa(X2,$o,X3,X4)) | zero_zero(nat) != X0)) | ~sP2482(X2,X0,X1,X3,X4)))),
% 58.08/9.42 inference(rectify,[],[f45711])).
% 58.08/9.42 tff(f45711,plain,(
% 58.08/9.42 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : ((sP2482(X0,X4,X3,X1,X2) | (($true != aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (($true != aa(X0,$o,X1,X2)) & zero_zero(nat) = X4)) & (((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)) | ~sP2482(X0,X4,X3,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f45710])).
% 58.08/9.42 tff(f45710,plain,(
% 58.08/9.42 ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,$o),X2 : X0] : ((sP2482(X0,X4,X3,X1,X2) | ((($true != aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (($true != aa(X0,$o,X1,X2)) & zero_zero(nat) = X4))) & (((($true = aa(X0,$o,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (($true = aa(X0,$o,X1,X2)) | zero_zero(nat) != X4)) | ~sP2482(X0,X4,X3,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37896])).
% 58.08/9.42 tff(f104094,plain,(
% 58.08/9.42 spl5880_4381),
% 58.08/9.42 inference(avatar_split_clause,[],[f75383,f104092])).
% 58.08/9.42 tff(f75383,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),iG894($true),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60675,f67338])).
% 58.08/9.42 tff(f60675,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4493(X1),zero_zero(nat),sK4494(X1),sK4495(X1)) = X1 | ~sP2183(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43127])).
% 58.08/9.42 tff(f43127,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(sK4493(X1),zero_zero(nat),sK4494(X1),sK4495(X1)) = X1) | ~sP2183(X0,X1))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4493,sK4494,sK4495])],[f43125,f43126])).
% 58.08/9.42 tff(f43126,plain,(
% 58.08/9.42 ! [X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,zero_zero(nat),X3,X4) = X1 => vEBT_Node(sK4493(X1),zero_zero(nat),sK4494(X1),sK4495(X1)) = X1)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43125,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,zero_zero(nat),X3,X4) = X1) | ~sP2183(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f43124])).
% 58.08/9.42 tff(f43124,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2183(X2,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37475])).
% 58.08/9.42 tff(f37475,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2183(X2,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2183])])).
% 58.08/9.42 tff(f104089,plain,(
% 58.08/9.42 spl5880_4380),
% 58.08/9.42 inference(avatar_split_clause,[],[f75381,f104087])).
% 58.08/9.42 tff(f75381,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),iG1228($true),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f75380,f69743])).
% 58.08/9.42 tff(f75380,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),aa(nat,nat,suc,iG894($true)),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60673,f67338])).
% 58.08/9.42 tff(f60673,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4490(X1),aa(nat,nat,suc,zero_zero(nat)),sK4491(X1),sK4492(X1)) = X1 | ~sP2184(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43123])).
% 58.08/9.42 tff(f43123,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(sK4490(X1),aa(nat,nat,suc,zero_zero(nat)),sK4491(X1),sK4492(X1)) = X1) | ~sP2184(X0,X1))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4490,sK4491,sK4492])],[f43121,f43122])).
% 58.08/9.42 tff(f43122,plain,(
% 58.08/9.42 ! [X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1 => vEBT_Node(sK4490(X1),aa(nat,nat,suc,zero_zero(nat)),sK4491(X1),sK4492(X1)) = X1)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43121,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1) | ~sP2184(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f43120])).
% 58.08/9.42 tff(f43120,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2184(X2,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37476])).
% 58.08/9.42 tff(f37476,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2184(X2,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2184])])).
% 58.08/9.42 tff(f104084,plain,(
% 58.08/9.42 spl5880_4379),
% 58.08/9.42 inference(avatar_split_clause,[],[f75295,f104082])).
% 58.08/9.42 tff(f75295,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),iG894($true),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60582,f67338])).
% 58.08/9.42 tff(f60582,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4385(X1),zero_zero(nat),sK4386(X1),sK4387(X1)) = X1 | ~sP2158(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43002])).
% 58.08/9.42 tff(f43002,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(sK4385(X1),zero_zero(nat),sK4386(X1),sK4387(X1)) = X1) | ~sP2158(X0,X1))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4385,sK4386,sK4387])],[f43000,f43001])).
% 58.08/9.42 tff(f43001,plain,(
% 58.08/9.42 ! [X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,zero_zero(nat),X3,X4) = X1 => vEBT_Node(sK4385(X1),zero_zero(nat),sK4386(X1),sK4387(X1)) = X1)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43000,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,zero_zero(nat),X3,X4) = X1) | ~sP2158(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f42999])).
% 58.08/9.42 tff(f42999,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2158(X2,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37444])).
% 58.08/9.42 tff(f37444,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2158(X2,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2158])])).
% 58.08/9.42 tff(f104079,plain,(
% 58.08/9.42 spl5880_4378),
% 58.08/9.42 inference(avatar_split_clause,[],[f75293,f104077])).
% 58.08/9.42 tff(f75293,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),iG1228($true),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f75292,f69743])).
% 58.08/9.42 tff(f75292,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),aa(nat,nat,suc,iG894($true)),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60580,f67338])).
% 58.08/9.42 tff(f60580,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK4382(X1),aa(nat,nat,suc,zero_zero(nat)),sK4383(X1),sK4384(X1)) = X1 | ~sP2159(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42998])).
% 58.08/9.42 tff(f42998,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(sK4382(X1),aa(nat,nat,suc,zero_zero(nat)),sK4383(X1),sK4384(X1)) = X1) | ~sP2159(X0,X1))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4382,sK4383,sK4384])],[f42996,f42997])).
% 58.08/9.42 tff(f42997,plain,(
% 58.08/9.42 ! [X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1 => vEBT_Node(sK4382(X1),aa(nat,nat,suc,zero_zero(nat)),sK4383(X1),sK4384(X1)) = X1)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f42996,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X2,aa(nat,nat,suc,zero_zero(nat)),X3,X4) = X1) | ~sP2159(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f42995])).
% 58.08/9.42 tff(f42995,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2159(X2,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37445])).
% 58.08/9.42 tff(f37445,plain,(
% 58.08/9.42 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2159(X2,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2159])])).
% 58.08/9.42 tff(f104075,plain,(
% 58.08/9.42 spl5880_4377),
% 58.08/9.42 inference(avatar_split_clause,[],[f75095,f104073])).
% 58.08/9.42 tff(f104073,plain,(
% 58.08/9.42 spl5880_4377 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_i_n_s_e_r_t(vEBT_Leaf(bG1018(X0),bG1019(X1)),X2) = aa(nat,nat,suc,iG1020(X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4377])])).
% 58.08/9.42 tff(f75095,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t(vEBT_Leaf(bG1018(X0),bG1019(X1)),X2) = aa(nat,nat,suc,iG1020(X2))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f75094,f69753])).
% 58.08/9.42 tff(f69753,plain,(
% 58.08/9.42 suc = aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true))),
% 58.08/9.42 inference(forward_demodulation,[],[f50060,f67101])).
% 58.08/9.42 tff(f50060,plain,(
% 58.08/9.42 suc = aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat))),
% 58.08/9.42 inference(cnf_transformation,[],[f537])).
% 58.08/9.42 tff(f537,axiom,(
% 58.08/9.42 suc = aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_536_plus__1__eq__Suc)).
% 58.08/9.42 tff(f75094,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t(vEBT_Leaf(bG1018(X0),bG1019(X1)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)),iG1020(X2))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60273,f67101])).
% 58.08/9.42 tff(f60273,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t(vEBT_Leaf(bG1018(X0),bG1019(X1)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1020(X2))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f17193])).
% 58.08/9.42 tff(f17193,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_i_n_s_e_r_t(vEBT_Leaf(bG1018(X0),bG1019(X1)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1020(X2))),
% 58.08/9.42 inference(fool_elimination,[],[f17189,f17192,f17191,f17190])).
% 58.08/9.42 tff(f17190,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1018(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1018])])).
% 58.08/9.42 tff(f17191,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1019(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1019])])).
% 58.08/9.42 tff(f17192,plain,(
% 58.08/9.42 ! [X2 : nat] : (~zero_zero(nat) = X2 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1020(X2)) & ! [X2 : nat] : (zero_zero(nat) = X2 => one_one(nat) = iG1020(X2))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG1020])])).
% 58.08/9.42 tff(f17189,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_i_n_s_e_r_t(vEBT_Leaf(X0,X1),X2) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(zero_zero(nat) = X2, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.42 inference(rectify,[],[f1050])).
% 58.08/9.42 tff(f1050,axiom,(
% 58.08/9.42 ! [X11 : $o,X12 : $o,X9 : nat] : vEBT_T_i_n_s_e_r_t(vEBT_Leaf(X11,X12),X9) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(zero_zero(nat) = X9, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1049_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_Osimps_I1_J)).
% 58.08/9.42 tff(f104070,plain,(
% 58.08/9.42 spl5880_4376),
% 58.08/9.42 inference(avatar_split_clause,[],[f75093,f104068])).
% 58.08/9.42 tff(f75093,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2)) = iG1228($true)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60272,f67101])).
% 58.08/9.42 tff(f60272,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f17188])).
% 58.08/9.42 tff(f17188,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG1016(X0),bG1017(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.42 inference(fool_elimination,[],[f17185,f17187,f17186])).
% 58.08/9.42 tff(f17186,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1016(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1016])])).
% 58.08/9.42 tff(f17187,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1017(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1017])])).
% 58.08/9.42 tff(f17185,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_s_u_c_c2(vEBT_Leaf(X0,X1),aa(nat,nat,suc,X2)) = one_one(nat)),
% 58.08/9.42 inference(rectify,[],[f1325])).
% 58.08/9.42 tff(f1325,axiom,(
% 58.08/9.42 ! [X109 : $o,X110 : $o,X8 : nat] : vEBT_T_s_u_c_c2(vEBT_Leaf(X109,X110),aa(nat,nat,suc,X8)) = one_one(nat)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1324_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H_Osimps_I2_J)).
% 58.08/9.42 tff(f104065,plain,(
% 58.08/9.42 spl5880_4375),
% 58.08/9.42 inference(avatar_split_clause,[],[f75092,f104063])).
% 58.08/9.42 tff(f75092,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2)) = iG1228($true)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f60271,f67101])).
% 58.08/9.42 tff(f60271,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f17184])).
% 58.08/9.42 tff(f17184,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : one_one(nat) = vEBT_T_s_u_c_c(vEBT_Leaf(bG1014(X0),bG1015(X1)),aa(nat,nat,suc,X2))),
% 58.08/9.42 inference(fool_elimination,[],[f17181,f17183,f17182])).
% 58.08/9.42 tff(f17182,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1014(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1014])])).
% 58.08/9.42 tff(f17183,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1015(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1015])])).
% 58.08/9.42 tff(f17181,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_s_u_c_c(vEBT_Leaf(X0,X1),aa(nat,nat,suc,X2)) = one_one(nat)),
% 58.08/9.42 inference(rectify,[],[f1065])).
% 58.08/9.42 tff(f1065,axiom,(
% 58.08/9.42 ! [X109 : $o,X110 : $o,X8 : nat] : vEBT_T_s_u_c_c(vEBT_Leaf(X109,X110),aa(nat,nat,suc,X8)) = one_one(nat)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1064_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_Osimps_I2_J)).
% 58.08/9.42 tff(f104060,plain,(
% 58.08/9.42 spl5880_4374),
% 58.08/9.42 inference(avatar_split_clause,[],[f74414,f104058])).
% 58.08/9.42 tff(f74414,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (iG1228($true) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f74413,f69743])).
% 58.08/9.42 tff(f74413,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0))) != aa(nat,nat,suc,iG894($true))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f68383,f67338])).
% 58.08/9.42 tff(f68383,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) )),
% 58.08/9.42 inference(equality_resolution,[],[f59563])).
% 58.08/9.42 tff(f59563,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42500])).
% 58.08/9.42 tff(f42500,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) | replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) != X1 | nil(X0) = X1) & ((replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))))),
% 58.08/9.42 inference(flattening,[],[f42499])).
% 58.08/9.42 tff(f42499,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) | (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) != X1 | nil(X0) = X1)) & ((replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))))),
% 58.08/9.42 inference(nnf_transformation,[],[f26245])).
% 58.08/9.42 tff(f26245,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) <=> (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1))),
% 58.08/9.42 inference(rectify,[],[f7870])).
% 58.08/9.42 tff(f7870,axiom,(
% 58.08/9.42 ! [X0 : $tType,X64 : list(X0)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X64)) <=> (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X64),hd(X0,X64)) = X64 & nil(X0) != X64))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7869_remdups__adj__singleton__iff)).
% 58.08/9.42 tff(f104056,plain,(
% 58.08/9.42 spl5880_4373),
% 58.08/9.42 inference(avatar_split_clause,[],[f74363,f104054])).
% 58.08/9.42 tff(f104054,plain,(
% 58.08/9.42 spl5880_4373 <=> ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP2113(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4373])])).
% 58.08/9.42 tff(f74363,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f59526,f66895])).
% 58.08/9.42 tff(f59526,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42478])).
% 58.08/9.42 tff(f42478,plain,(
% 58.08/9.42 ! [X0 : int,X1 : int] : ((sP2113(X0,X1) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) & (one_one(int) != X0 | one_one(int) != X1))) & ((aa(int,int,uminus_uminus(int),one_one(int)) = X0 & aa(int,int,uminus_uminus(int),one_one(int)) = X1) | (one_one(int) = X0 & one_one(int) = X1) | ~sP2113(X0,X1)))),
% 58.08/9.42 inference(rectify,[],[f42477])).
% 58.08/9.42 tff(f42477,plain,(
% 58.08/9.42 ! [X1 : int,X0 : int] : ((sP2113(X1,X0) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0) & (one_one(int) != X1 | one_one(int) != X0))) & ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0) | ~sP2113(X1,X0)))),
% 58.08/9.42 inference(flattening,[],[f42476])).
% 58.08/9.42 tff(f42476,plain,(
% 58.08/9.42 ! [X1 : int,X0 : int] : ((sP2113(X1,X0) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0) & (one_one(int) != X1 | one_one(int) != X0))) & (((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)) | ~sP2113(X1,X0)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37376])).
% 58.08/9.42 tff(f104052,plain,(
% 58.08/9.42 spl5880_4372),
% 58.08/9.42 inference(avatar_split_clause,[],[f74362,f104050])).
% 58.08/9.42 tff(f104050,plain,(
% 58.08/9.42 spl5880_4372 <=> ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP2113(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4372])])).
% 58.08/9.42 tff(f74362,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f59527,f66895])).
% 58.08/9.42 tff(f59527,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42478])).
% 58.08/9.42 tff(f104047,plain,(
% 58.08/9.42 spl5880_4371),
% 58.08/9.42 inference(avatar_split_clause,[],[f74361,f104045])).
% 58.08/9.42 tff(f104045,plain,(
% 58.08/9.42 spl5880_4371 <=> ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP2113(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4371])])).
% 58.08/9.42 tff(f74361,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f59528,f66895])).
% 58.08/9.42 tff(f59528,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42478])).
% 58.08/9.42 tff(f104043,plain,(
% 58.08/9.42 spl5880_4370),
% 58.08/9.42 inference(avatar_split_clause,[],[f74360,f104041])).
% 58.08/9.42 tff(f104041,plain,(
% 58.08/9.42 spl5880_4370 <=> ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP2113(X0,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4370])])).
% 58.08/9.42 tff(f74360,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (iG1564(zero_zero(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f59529,f66895])).
% 58.08/9.42 tff(f59529,plain,(
% 58.08/9.42 ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP2113(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42478])).
% 58.08/9.42 tff(f104036,plain,(
% 58.08/9.42 ~spl5880_4369 | ~spl5880_1544 | ~spl5880_2538 | spl5880_4368),
% 58.08/9.42 inference(avatar_split_clause,[],[f104031,f104026,f92883,f86336,f104033])).
% 58.08/9.42 tff(f104033,plain,(
% 58.08/9.42 spl5880_4369 <=> ($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG714($true))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4369])])).
% 58.08/9.42 tff(f92883,plain,(
% 58.08/9.42 spl5880_2538 <=> vEBT_vebt_buildup(iG717($true)) = vEBT_vebt_buildup(iG714($true))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_2538])])).
% 58.08/9.42 tff(f104026,plain,(
% 58.08/9.42 spl5880_4368 <=> ($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG894($true))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4368])])).
% 58.08/9.42 tff(f104031,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG714($true)))) | (~spl5880_1544 | ~spl5880_2538 | spl5880_4368)),
% 58.08/9.42 inference(forward_demodulation,[],[f104030,f92885])).
% 58.08/9.42 tff(f92885,plain,(
% 58.08/9.42 vEBT_vebt_buildup(iG717($true)) = vEBT_vebt_buildup(iG714($true)) | ~spl5880_2538),
% 58.08/9.42 inference(avatar_component_clause,[],[f92883])).
% 58.08/9.42 tff(f104030,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG717($true)))) | (~spl5880_1544 | spl5880_4368)),
% 58.08/9.42 inference(forward_demodulation,[],[f104027,f86338])).
% 58.08/9.42 tff(f104027,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG894($true)))) | spl5880_4368),
% 58.08/9.42 inference(avatar_component_clause,[],[f104026])).
% 58.08/9.42 tff(f104029,plain,(
% 58.08/9.42 spl5880_4367 | spl5880_4368),
% 58.08/9.42 inference(avatar_split_clause,[],[f73471,f104026,f104023])).
% 58.08/9.42 tff(f104023,plain,(
% 58.08/9.42 spl5880_4367 <=> ! [X0 : $o,X1 : vEBT_VEBT] : ~sP2084(X0,X1)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4367])])).
% 58.08/9.42 tff(f73471,plain,(
% 58.08/9.42 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_vebt_buildup(iG894($true)))) | ~sP2084(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f58775,f69846])).
% 58.08/9.42 tff(f58775,plain,(
% 58.08/9.42 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($false,$false))) | ~sP2084(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42061])).
% 58.08/9.42 tff(f42061,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($false,$false))) & ($true = X0) & vEBT_Leaf($false,$false) = X1) | ~sP2084(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f42060])).
% 58.08/9.42 tff(f42060,plain,(
% 58.08/9.42 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($false,$false))) & ($true = X1) & vEBT_Leaf($false,$false) = X0) | ~sP2084(X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37337])).
% 58.08/9.42 tff(f37337,plain,(
% 58.08/9.42 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Leaf($false,$false))) & ($true = X1) & vEBT_Leaf($false,$false) = X0) | ~sP2084(X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2084])])).
% 58.08/9.42 tff(f104018,plain,(
% 58.08/9.42 ~spl5880_4366 | ~spl5880_1544 | ~spl5880_2538 | spl5880_4365),
% 58.08/9.42 inference(avatar_split_clause,[],[f104013,f104008,f92883,f86336,f104015])).
% 58.08/9.42 tff(f104015,plain,(
% 58.08/9.42 spl5880_4366 <=> ($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG714($true))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4366])])).
% 58.08/9.42 tff(f104008,plain,(
% 58.08/9.42 spl5880_4365 <=> ($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG894($true))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4365])])).
% 58.08/9.42 tff(f104013,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG714($true)))) | (~spl5880_1544 | ~spl5880_2538 | spl5880_4365)),
% 58.08/9.42 inference(forward_demodulation,[],[f104012,f92885])).
% 58.08/9.42 tff(f104012,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG717($true)))) | (~spl5880_1544 | spl5880_4365)),
% 58.08/9.42 inference(forward_demodulation,[],[f104009,f86338])).
% 58.08/9.42 tff(f104009,plain,(
% 58.08/9.42 ($true != aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG894($true)))) | spl5880_4365),
% 58.08/9.42 inference(avatar_component_clause,[],[f104008])).
% 58.08/9.42 tff(f104011,plain,(
% 58.08/9.42 spl5880_4364 | spl5880_4365),
% 58.08/9.42 inference(avatar_split_clause,[],[f73236,f104008,f104005])).
% 58.08/9.42 tff(f104005,plain,(
% 58.08/9.42 spl5880_4364 <=> ! [X0 : nat,X1 : vEBT_VEBT] : ~sP2047(X0,X1)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4364])])).
% 58.08/9.42 tff(f73236,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_vebt_buildup(iG894($true)))) | ~sP2047(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f58169,f69846])).
% 58.08/9.42 tff(f58169,plain,(
% 58.08/9.42 ( ! [X0 : nat,X1 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($false,$false))) | ~sP2047(X0,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f41655])).
% 58.08/9.42 tff(f41655,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($false,$false))) & one_one(nat) = X0 & vEBT_Leaf($false,$false) = X1) | ~sP2047(X0,X1))),
% 58.08/9.42 inference(rectify,[],[f41654])).
% 58.08/9.42 tff(f41654,plain,(
% 58.08/9.42 ! [X1 : nat,X0 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($false,$false))) & one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0) | ~sP2047(X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37278])).
% 58.08/9.42 tff(f37278,plain,(
% 58.08/9.42 ! [X1 : nat,X0 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Leaf($false,$false))) & one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0) | ~sP2047(X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2047])])).
% 58.08/9.42 tff(f104001,plain,(
% 58.08/9.42 spl5880_4363),
% 58.08/9.42 inference(avatar_split_clause,[],[f72185,f103999])).
% 58.08/9.42 tff(f72185,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),aa(nat,nat,suc,X0)))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f72184,f69743])).
% 58.08/9.42 tff(f72184,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,iG894($true))),aa(nat,nat,suc,X0)))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f56613,f67338])).
% 58.08/9.42 tff(f56613,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f25242])).
% 58.08/9.42 tff(f25242,plain,(
% 58.08/9.42 ! [X0 : nat] : ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0)))),
% 58.08/9.42 inference(flattening,[],[f14435])).
% 58.08/9.42 tff(f14435,plain,(
% 58.08/9.42 ! [X0 : nat] : ~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0)))),
% 58.08/9.42 inference(fool_elimination,[],[f14434])).
% 58.08/9.42 tff(f14434,plain,(
% 58.08/9.42 ! [X0 : nat] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0))),
% 58.08/9.42 inference(rectify,[],[f4632])).
% 58.08/9.42 tff(f4632,axiom,(
% 58.08/9.42 ! [X8 : nat] : ~aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X8))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4631_not__bit__Suc__0__Suc)).
% 58.08/9.42 tff(f103995,plain,(
% 58.08/9.42 spl5880_4362),
% 58.08/9.42 inference(avatar_split_clause,[],[f72104,f103993])).
% 58.08/9.42 tff(f72104,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),X0)) | iG894($true) = X0) )),
% 58.08/9.42 inference(forward_demodulation,[],[f72103,f69743])).
% 58.08/9.42 tff(f72103,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,iG894($true))),X0)) | iG894($true) = X0) )),
% 58.08/9.42 inference(forward_demodulation,[],[f72102,f67338])).
% 58.08/9.42 tff(f72102,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG894($true) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f56533,f67338])).
% 58.08/9.42 tff(f56533,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f40940])).
% 58.08/9.42 tff(f40940,plain,(
% 58.08/9.42 ! [X0 : nat] : ((($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))))),
% 58.08/9.42 inference(nnf_transformation,[],[f14323])).
% 58.08/9.42 tff(f14323,plain,(
% 58.08/9.42 ! [X0 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) <=> zero_zero(nat) = X0)),
% 58.08/9.42 inference(fool_elimination,[],[f14322])).
% 58.08/9.42 tff(f14322,plain,(
% 58.08/9.42 ! [X0 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0) <=> zero_zero(nat) = X0)),
% 58.08/9.42 inference(rectify,[],[f4631])).
% 58.08/9.42 tff(f4631,axiom,(
% 58.08/9.42 ! [X8 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X8) <=> zero_zero(nat) = X8)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4630_bit__Suc__0__iff)).
% 58.08/9.42 tff(f103990,plain,(
% 58.08/9.42 spl5880_4361),
% 58.08/9.42 inference(avatar_split_clause,[],[f72097,f103988])).
% 58.08/9.42 tff(f72097,plain,(
% 58.08/9.42 ( ! [X0 : real] : (sK3362(X0) != iG894($true) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f56521,f67338])).
% 58.08/9.42 tff(f56521,plain,(
% 58.08/9.42 ( ! [X0 : real] : (zero_zero(nat) != sK3362(X0) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f40936])).
% 58.08/9.42 tff(f40936,plain,(
% 58.08/9.42 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aeg(real,$o),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & ((zero_zero(nat) != sK3362(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK3361(X0)),aa(nat,real,semiring_1_of_nat(real),sK3362(X0))) = X0) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3361,sK3362])],[f40934,f40935])).
% 58.08/9.42 tff(f40935,plain,(
% 58.08/9.42 ! [X0 : real] : (? [X3 : int,X4 : nat] : (zero_zero(nat) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(nat,real,semiring_1_of_nat(real),X4)) = X0) => (zero_zero(nat) != sK3362(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK3361(X0)),aa(nat,real,semiring_1_of_nat(real),sK3362(X0))) = X0))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f40934,plain,(
% 58.08/9.42 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aeg(real,$o),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & (? [X3 : int,X4 : nat] : (zero_zero(nat) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(nat,real,semiring_1_of_nat(real),X4)) = X0) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))))),
% 58.08/9.42 inference(rectify,[],[f40933])).
% 58.08/9.42 tff(f40933,plain,(
% 58.08/9.42 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aeg(real,$o),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & (? [X1 : int,X2 : nat] : (zero_zero(nat) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) = X0) | ($true != aa(real,$o,aTP_Lamp_aeg(real,$o),X0))))),
% 58.08/9.42 inference(nnf_transformation,[],[f14309])).
% 58.08/9.42 tff(f14309,plain,(
% 58.08/9.42 ! [X0 : real] : (($true = aa(real,$o,aTP_Lamp_aeg(real,$o),X0)) <=> ? [X1 : int,X2 : nat] : (zero_zero(nat) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) = X0))),
% 58.08/9.42 inference(fool_elimination,[],[f14308])).
% 58.08/9.42 tff(f14308,plain,(
% 58.08/9.42 ! [X0 : real] : (aa(real,$o,aTP_Lamp_aeg(real,$o),X0) <=> ? [X1 : int,X2 : nat] : (zero_zero(nat) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) = X0))),
% 58.08/9.42 inference(rectify,[],[f8222])).
% 58.08/9.42 tff(f8222,axiom,(
% 58.08/9.42 ! [X105 : real] : (aa(real,$o,aTP_Lamp_aeg(real,$o),X105) <=> ? [X45 : int,X193 : nat] : (zero_zero(nat) != X193 & divide_divide(real,aa(int,real,ring_1_of_int(real),X45),aa(nat,real,semiring_1_of_nat(real),X193)) = X105))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8221_ATP_Olambda__41)).
% 58.08/9.42 tff(f103985,plain,(
% 58.08/9.42 spl5880_4360),
% 58.08/9.42 inference(avatar_split_clause,[],[f71485,f103983])).
% 58.08/9.42 tff(f71485,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),iG1228($true)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f56078,f67101])).
% 58.08/9.42 tff(f56078,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f32806])).
% 58.08/9.42 tff(f32806,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(flattening,[],[f32805])).
% 58.08/9.42 tff(f32805,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | (~semidom_divide(X0) | ~semiring_char_0(X0)))),
% 58.08/9.42 inference(ennf_transformation,[],[f25158])).
% 58.08/9.42 tff(f25158,plain,(
% 58.08/9.42 ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1)),
% 58.08/9.42 inference(rectify,[],[f4033])).
% 58.08/9.42 tff(f4033,axiom,(
% 58.08/9.42 ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X11 : X0] : aa(nat,X0,gbinomial(X0,X11),one_one(nat)) = X11)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4032_gbinomial__1)).
% 58.08/9.42 tff(f103980,plain,(
% 58.08/9.42 spl5880_4359),
% 58.08/9.42 inference(avatar_split_clause,[],[f71132,f103978])).
% 58.08/9.42 tff(f71132,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != iG577(X0,one_one(X0),X1) | iG894($true) = X1 | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f71131,f67555])).
% 58.08/9.42 tff(f71131,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f54572,f67338])).
% 58.08/9.42 tff(f54572,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f39939])).
% 58.08/9.42 tff(f39939,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f31299])).
% 58.08/9.42 tff(f31299,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> zero_zero(nat) = X1) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(ennf_transformation,[],[f24622])).
% 58.08/9.42 tff(f24622,plain,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> zero_zero(nat) = X1))),
% 58.08/9.42 inference(rectify,[],[f3092])).
% 58.08/9.42 tff(f3092,axiom,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X15 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X15) <=> zero_zero(nat) = X15))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3091_of__nat__eq__0__iff)).
% 58.08/9.42 tff(f103975,plain,(
% 58.08/9.42 spl5880_4358),
% 58.08/9.42 inference(avatar_split_clause,[],[f71124,f103973])).
% 58.08/9.42 tff(f71124,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) != iG577(X0,one_one(X0),X1) | iG1228($true) = X1 | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f71123,f67555])).
% 58.08/9.42 tff(f71123,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG1228($true) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f54568,f67101])).
% 58.08/9.42 tff(f54568,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (one_one(nat) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f39937])).
% 58.08/9.42 tff(f39937,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : nat] : ((one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | one_one(nat) != X1) & (one_one(nat) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f31297])).
% 58.08/9.42 tff(f31297,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> one_one(nat) = X1) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(ennf_transformation,[],[f24620])).
% 58.08/9.42 tff(f24620,plain,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> one_one(nat) = X1))),
% 58.08/9.42 inference(rectify,[],[f3100])).
% 58.08/9.42 tff(f3100,axiom,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X8) <=> one_one(nat) = X8))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3099_of__nat__1__eq__iff)).
% 58.08/9.42 tff(f103971,plain,(
% 58.08/9.42 spl5880_4357),
% 58.08/9.42 inference(avatar_split_clause,[],[f71102,f103969])).
% 58.08/9.42 tff(f103969,plain,(
% 58.08/9.42 spl5880_4357 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != iG577(X0,one_one(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4357])])).
% 58.08/9.42 tff(f71102,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != iG577(X0,one_one(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f54559,f67555])).
% 58.08/9.42 tff(f54559,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f31288])).
% 58.08/9.42 tff(f31288,plain,(
% 58.08/9.42 ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0))),
% 58.08/9.42 inference(ennf_transformation,[],[f24613])).
% 58.08/9.42 tff(f24613,plain,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)))),
% 58.08/9.42 inference(rectify,[],[f3160])).
% 58.08/9.42 tff(f3160,axiom,(
% 58.08/9.42 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X8)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3159_of__nat__neq__0)).
% 58.08/9.42 tff(f103966,plain,(
% 58.08/9.42 spl5880_4356),
% 58.08/9.42 inference(avatar_split_clause,[],[f70804,f103964])).
% 58.08/9.42 tff(f70804,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (~dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X2) | sP1940(X1,zero_zero(X1),X2)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f67877,f69765])).
% 58.08/9.42 tff(f67877,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat] : (sP1940(X1,zero_zero(X1),X2) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f53438])).
% 58.08/9.42 tff(f53438,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (sP1940(X1,X0,X2) | zero_zero(X1) != X0 | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f39582])).
% 58.08/9.42 tff(f103961,plain,(
% 58.08/9.42 spl5880_4355),
% 58.08/9.42 inference(avatar_split_clause,[],[f70571,f103959])).
% 58.08/9.42 tff(f70571,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f67786,f67338])).
% 58.08/9.42 tff(f67786,plain,(
% 58.08/9.42 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,zero_zero(nat)),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.42 inference(equality_resolution,[],[f52380])).
% 58.08/9.42 tff(f52380,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),one_one(X0)) | zero_zero(nat) != X1 | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f39283])).
% 58.08/9.42 tff(f103956,plain,(
% 58.08/9.42 spl5880_4354),
% 58.08/9.42 inference(avatar_split_clause,[],[f70236,f103954])).
% 58.08/9.42 tff(f70236,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f70235,f69949])).
% 58.08/9.42 tff(f69949,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X0)),iG1228($true)) = X0) )),
% 58.08/9.42 inference(forward_demodulation,[],[f50370,f67101])).
% 58.08/9.42 tff(f50370,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X0)),one_one(nat)) = X0) )),
% 58.08/9.42 inference(cnf_transformation,[],[f22897])).
% 58.08/9.42 tff(f22897,plain,(
% 58.08/9.42 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X0)),one_one(nat)) = X0),
% 58.08/9.42 inference(rectify,[],[f502])).
% 58.08/9.42 tff(f502,axiom,(
% 58.08/9.42 ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X8)),one_one(nat)) = X8),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_501_diff__Suc__1)).
% 58.08/9.42 tff(f70235,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),iG1228($true)) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f70234,f70043])).
% 58.08/9.42 tff(f70234,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))),X0)),iG1228($true)) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f70233,f67101])).
% 58.08/9.42 tff(f70233,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))),X0)),one_one(nat)) = aa(set(nat),nat,nat_set_encode,set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f70232,f69786])).
% 58.08/9.42 tff(f69786,plain,(
% 58.08/9.42 nat_set_encode = groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))))),
% 58.08/9.42 inference(forward_demodulation,[],[f50101,f69765])).
% 58.08/9.42 tff(f50101,plain,(
% 58.08/9.42 nat_set_encode = groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 58.08/9.42 inference(cnf_transformation,[],[f3032])).
% 58.08/9.42 tff(f3032,axiom,(
% 58.08/9.42 nat_set_encode = groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3031_set__encode__def)).
% 58.08/9.42 tff(f70232,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true))),X0)),one_one(nat)) = aa(set(nat),nat,groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,iG1228($true)))),set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f70231,f69765])).
% 58.08/9.42 tff(f70231,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)),one_one(nat)) = aa(set(nat),nat,groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f50589,f67338])).
% 58.08/9.42 tff(f50589,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)),one_one(nat)) = aa(set(nat),nat,groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f23112])).
% 58.08/9.42 tff(f23112,plain,(
% 58.08/9.42 ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)),one_one(nat)) = aa(set(nat),nat,groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))),
% 58.08/9.42 inference(rectify,[],[f5190])).
% 58.08/9.42 tff(f5190,axiom,(
% 58.08/9.42 ! [X24 : nat] : aa(set(nat),nat,groups7311177749621191930dd_sum(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X24)) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X24)),one_one(nat))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5189_sum__power2)).
% 58.08/9.42 tff(f103950,plain,(
% 58.08/9.42 spl5880_4353),
% 58.08/9.42 inference(avatar_split_clause,[],[f69973,f103948])).
% 58.08/9.42 tff(f103948,plain,(
% 58.08/9.42 spl5880_4353 <=> ! [X0 : num] : set_ord_atMost(nat,lG1553(X0)) = set_ord_lessThan(nat,lG696(aa(num,code_integer,code_positive,X0)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4353])])).
% 58.08/9.42 tff(f69973,plain,(
% 58.08/9.42 ( ! [X0 : num] : (set_ord_atMost(nat,lG1553(X0)) = set_ord_lessThan(nat,lG696(aa(num,code_integer,code_positive,X0)))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f69972,f69903])).
% 58.08/9.42 tff(f69972,plain,(
% 58.08/9.42 ( ! [X0 : num] : (set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X0)) = set_ord_atMost(nat,lG1553(X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f69971,f65286])).
% 58.08/9.42 tff(f69971,plain,(
% 58.08/9.42 ( ! [X0 : num] : (set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X0)) = set_ord_atMost(nat,lG1586(X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f65807,f69955])).
% 58.08/9.42 tff(f65807,plain,(
% 58.08/9.42 ( ! [X0 : num] : (set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X0)) = aa(set(nat),set(nat),insert(nat,lG1586(X0)),set_ord_lessThan(nat,lG1586(X0)))) )),
% 58.08/9.42 inference(definition_unfolding,[],[f50408,f46570,f46570])).
% 58.08/9.42 tff(f50408,plain,(
% 58.08/9.42 ( ! [X0 : num] : (set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X0)) = aa(set(nat),set(nat),insert(nat,pred_numeral(X0)),set_ord_lessThan(nat,pred_numeral(X0)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f22934])).
% 58.08/9.42 tff(f22934,plain,(
% 58.08/9.42 ! [X0 : num] : set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X0)) = aa(set(nat),set(nat),insert(nat,pred_numeral(X0)),set_ord_lessThan(nat,pred_numeral(X0)))),
% 58.08/9.42 inference(rectify,[],[f3430])).
% 58.08/9.42 tff(f3430,axiom,(
% 58.08/9.42 ! [X24 : num] : set_ord_lessThan(nat,aa(num,nat,numeral_numeral(nat),X24)) = aa(set(nat),set(nat),insert(nat,pred_numeral(X24)),set_ord_lessThan(nat,pred_numeral(X24)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3429_lessThan__nat__numeral)).
% 58.08/9.42 tff(f103946,plain,(
% 58.08/9.42 spl5880_4352),
% 58.08/9.42 inference(avatar_split_clause,[],[f69900,f103944])).
% 58.08/9.42 tff(f103944,plain,(
% 58.08/9.42 spl5880_4352 <=> ! [X0 : num] : aa(num,nat,numeral_numeral(nat),bitM(X0)) = lG1553(aa(num,num,bit0,X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4352])])).
% 58.08/9.42 tff(f69900,plain,(
% 58.08/9.42 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),bitM(X0)) = lG1553(aa(num,num,bit0,X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f65782,f65286])).
% 58.08/9.42 tff(f65782,plain,(
% 58.08/9.42 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),bitM(X0)) = lG1586(aa(num,num,bit0,X0))) )),
% 58.08/9.42 inference(definition_unfolding,[],[f50289,f46570])).
% 58.08/9.42 tff(f50289,plain,(
% 58.08/9.42 ( ! [X0 : num] : (pred_numeral(aa(num,num,bit0,X0)) = aa(num,nat,numeral_numeral(nat),bitM(X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f22818])).
% 58.08/9.42 tff(f22818,plain,(
% 58.08/9.42 ! [X0 : num] : pred_numeral(aa(num,num,bit0,X0)) = aa(num,nat,numeral_numeral(nat),bitM(X0))),
% 58.08/9.42 inference(rectify,[],[f2392])).
% 58.08/9.42 tff(f2392,axiom,(
% 58.08/9.42 ! [X24 : num] : pred_numeral(aa(num,num,bit0,X24)) = aa(num,nat,numeral_numeral(nat),bitM(X24))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2391_pred__numeral__simps_I2_J)).
% 58.08/9.42 tff(f103941,plain,(
% 58.08/9.42 spl5880_4351),
% 58.08/9.42 inference(avatar_split_clause,[],[f69899,f103939])).
% 58.08/9.42 tff(f69899,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (iG894($true) = aa(nat,nat,binomial(iG894($true)),aa(nat,nat,suc,X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f50282,f67338])).
% 58.08/9.42 tff(f50282,plain,(
% 58.08/9.42 ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f22812])).
% 58.08/9.42 tff(f22812,plain,(
% 58.08/9.42 ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X0))),
% 58.08/9.42 inference(rectify,[],[f3875])).
% 58.08/9.42 tff(f3875,axiom,(
% 58.08/9.42 ! [X24 : nat] : zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X24))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3874_binomial__0__Suc)).
% 58.08/9.42 tff(f103936,plain,(
% 58.08/9.42 spl5880_4350),
% 58.08/9.42 inference(avatar_split_clause,[],[f69898,f103934])).
% 58.08/9.42 tff(f69898,plain,(
% 58.08/9.42 ( ! [X0 : set(nat)] : (~member(nat,iG894($true),aa(set(nat),set(nat),image(nat,nat,suc),X0))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f50281,f67338])).
% 58.08/9.42 tff(f50281,plain,(
% 58.08/9.42 ( ! [X0 : set(nat)] : (~member(nat,zero_zero(nat),aa(set(nat),set(nat),image(nat,nat,suc),X0))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f22811])).
% 58.08/9.42 tff(f22811,plain,(
% 58.08/9.42 ! [X0 : set(nat)] : ~member(nat,zero_zero(nat),aa(set(nat),set(nat),image(nat,nat,suc),X0))),
% 58.08/9.42 inference(rectify,[],[f4914])).
% 58.08/9.42 tff(f4914,axiom,(
% 58.08/9.42 ! [X27 : set(nat)] : ~member(nat,zero_zero(nat),aa(set(nat),set(nat),image(nat,nat,suc),X27))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4913_zero__notin__Suc__image)).
% 58.08/9.42 tff(f103931,plain,(
% 58.08/9.42 spl5880_4349),
% 58.08/9.42 inference(avatar_split_clause,[],[f69809,f103928])).
% 58.08/9.42 tff(f69809,plain,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,iG631(iG894($true),iG894($true)))),
% 58.08/9.42 inference(forward_demodulation,[],[f69808,f69608])).
% 58.08/9.42 tff(f69608,plain,(
% 58.08/9.42 ( ! [X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG894($true)),X3) = iG631(iG894($true),X3)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f67511,f67338])).
% 58.08/9.42 tff(f67511,plain,(
% 58.08/9.42 ( ! [X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG631(zero_zero(nat),X3)) )),
% 58.08/9.42 inference(equality_resolution,[],[f48503])).
% 58.08/9.42 tff(f48503,plain,(
% 58.08/9.42 ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG631(X2,X3) | zero_zero(nat) != X2) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27911])).
% 58.08/9.42 tff(f27911,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat] : (aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_bf(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG631(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG631(X2,X3) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) & zero_zero(nat) != X2))),
% 58.08/9.42 inference(flattening,[],[f27910])).
% 58.08/9.42 tff(f27910,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat] : (aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_bf(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG631(X0,X1) | (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0)) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG631(X2,X3) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) & zero_zero(nat) != X2))),
% 58.08/9.42 inference(ennf_transformation,[],[f22176])).
% 58.08/9.42 tff(f22176,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat] : (~(($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) => aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_bf(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG631(X0,X1)) & ! [X2 : nat,X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) | zero_zero(nat) = X2) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG631(X2,X3))),
% 58.08/9.42 inference(rectify,[],[f14593])).
% 58.08/9.42 tff(f14593,plain,(
% 58.08/9.42 ! [X1 : nat,X0 : nat] : (~(($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | zero_zero(nat) = X1) => aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_bf(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1)) = iG631(X1,X0)) & ! [X1 : nat,X0 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | zero_zero(nat) = X1) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X0) = iG631(X1,X0))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG631])])).
% 58.08/9.42 tff(f69808,plain,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG894($true)),iG894($true)))),
% 58.08/9.42 inference(forward_demodulation,[],[f50123,f67338])).
% 58.08/9.42 tff(f50123,plain,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat)))),
% 58.08/9.42 inference(cnf_transformation,[],[f7079])).
% 58.08/9.42 tff(f7079,axiom,(
% 58.08/9.42 zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7078_zero__int__def)).
% 58.08/9.42 tff(f103925,plain,(
% 58.08/9.42 spl5880_4348),
% 58.08/9.42 inference(avatar_split_clause,[],[f69642,f103923])).
% 58.08/9.42 tff(f69642,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG894($true) = X1 | iG480(X0,X1,X2) = iG481(X0,X1,X2,X3)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f48804,f67338])).
% 58.08/9.42 tff(f48804,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG480(X0,X1,X2) = iG481(X0,X1,X2,X3) | zero_zero(nat) = X1) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27977])).
% 58.08/9.42 tff(f27977,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (iG480(X0,X1,X2) = iG481(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,X5,X6,X7) | zero_zero(nat) != X5)),
% 58.08/9.42 inference(ennf_transformation,[],[f22383])).
% 58.08/9.42 tff(f22383,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (zero_zero(nat) != X1 => iG480(X0,X1,X2) = iG481(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (zero_zero(nat) = X5 => aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,X5,X6,X7))),
% 58.08/9.42 inference(flattening,[],[f22382])).
% 58.08/9.42 tff(f22382,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~zero_zero(nat) = X1 => iG480(X0,X1,X2) = iG481(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (zero_zero(nat) = X5 => aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,X5,X6,X7))),
% 58.08/9.42 inference(rectify,[],[f12117])).
% 58.08/9.42 tff(f12117,plain,(
% 58.08/9.42 ! [X0 : $tType,X4 : nat,X1 : nat,X3 : X0] : (~zero_zero(nat) = X4 => iG480(X0,X4,X1) = iG481(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : X0] : (zero_zero(nat) = X4 => aa(X0,X0,uminus_uminus(X0),X3) = iG481(X0,X4,X1,X3))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG481])])).
% 58.08/9.42 tff(f103920,plain,(
% 58.08/9.42 spl5880_4347),
% 58.08/9.42 inference(avatar_split_clause,[],[f69621,f103918])).
% 58.08/9.42 tff(f69621,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f48676,f67338])).
% 58.08/9.42 tff(f48676,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1) | zero_zero(nat) = X1) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27952])).
% 58.08/9.42 tff(f27952,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG547(X2,X3) | zero_zero(nat) != X3)),
% 58.08/9.42 inference(ennf_transformation,[],[f22296])).
% 58.08/9.42 tff(f22296,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG547(X2,X3))),
% 58.08/9.42 inference(flattening,[],[f22295])).
% 58.08/9.42 tff(f22295,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG547(X2,X3))),
% 58.08/9.42 inference(rectify,[],[f12751])).
% 58.08/9.42 tff(f12751,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG547(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG547(X0,X1))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG547])])).
% 58.08/9.42 tff(f103916,plain,(
% 58.08/9.42 spl5880_4346),
% 58.08/9.42 inference(avatar_split_clause,[],[f69582,f103914])).
% 58.08/9.42 tff(f103914,plain,(
% 58.08/9.42 spl5880_4346 <=> ! [X3 : int] : aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(iG1564(zero_zero(int),one_one(int)),X3)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4346])])).
% 58.08/9.42 tff(f69582,plain,(
% 58.08/9.42 ( ! [X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(iG1564(zero_zero(int),one_one(int)),X3)) )),
% 58.08/9.42 inference(forward_demodulation,[],[f67497,f66895])).
% 58.08/9.42 tff(f67497,plain,(
% 58.08/9.42 ( ! [X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(aa(int,int,uminus_uminus(int),one_one(int)),X3)) )),
% 58.08/9.42 inference(equality_resolution,[],[f48438])).
% 58.08/9.42 tff(f48438,plain,(
% 58.08/9.42 ( ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG663(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27879])).
% 58.08/9.42 tff(f103911,plain,(
% 58.08/9.42 spl5880_4345),
% 58.08/9.42 inference(avatar_split_clause,[],[f69450,f103909])).
% 58.08/9.42 tff(f69450,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1228($true) = X0 | iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) )),
% 58.08/9.42 inference(forward_demodulation,[],[f47650,f67101])).
% 58.08/9.42 tff(f47650,plain,(
% 58.08/9.42 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1)) | one_one(nat) = X0) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27714])).
% 58.08/9.42 tff(f27714,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(X3,X4,X5) | one_one(nat) != X3)),
% 58.08/9.42 inference(ennf_transformation,[],[f21599])).
% 58.08/9.42 tff(f21599,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1029(X5),$true) = iG1032(X3,X4,X5))),
% 58.08/9.42 inference(flattening,[],[f21598])).
% 58.08/9.42 tff(f21598,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG1032(X0,X1,X2) = vEBT_Leaf(bG1030(X2),bG1031(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1029(X5),$true) = iG1032(X3,X4,X5))),
% 58.08/9.42 inference(rectify,[],[f17210])).
% 58.08/9.42 tff(f103907,plain,(
% 58.08/9.42 spl5880_4344),
% 58.08/9.42 inference(avatar_split_clause,[],[f68632,f103905])).
% 58.08/9.42 tff(f103905,plain,(
% 58.08/9.42 spl5880_4344 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1510(X0,sK5017(X0,$true,X2),sK5016(X0,$true,X2)) | ~sP2353(X0,$true,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4344])])).
% 58.08/9.42 tff(f68632,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1510(X0,sK5017(X0,$true,X2),sK5016(X0,$true,X2)) | ~sP2353(X0,$true,X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f61477])).
% 58.08/9.42 tff(f61477,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (iG1510(X0,sK5017(X0,X1,X2),sK5016(X0,X1,X2)) | ($true != X1) | ~sP2353(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44002])).
% 58.08/9.42 tff(f103902,plain,(
% 58.08/9.42 spl5880_4343),
% 58.08/9.42 inference(avatar_split_clause,[],[f68610,f103900])).
% 58.08/9.42 tff(f103900,plain,(
% 58.08/9.42 spl5880_4343 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1497(sK4979(X0,$true,X2),sK4978(X0,$true,X2),X0) | ~sP2342(X0,$true,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4343])])).
% 58.08/9.42 tff(f68610,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1497(sK4979(X0,$true,X2),sK4978(X0,$true,X2),X0) | ~sP2342(X0,$true,X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f61428])).
% 58.08/9.42 tff(f61428,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (iG1497(sK4979(X0,X1,X2),sK4978(X0,X1,X2),X0) | ($true != X1) | ~sP2342(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43943])).
% 58.08/9.42 tff(f103898,plain,(
% 58.08/9.42 spl5880_4342),
% 58.08/9.42 inference(avatar_split_clause,[],[f68602,f103896])).
% 58.08/9.42 tff(f103896,plain,(
% 58.08/9.42 spl5880_4342 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1478(X0,sK4963(X0,$true,X2),sK4962(X0,$true,X2)) | ~sP2335(X0,$true,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4342])])).
% 58.08/9.42 tff(f68602,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1478(X0,sK4963(X0,$true,X2),sK4962(X0,$true,X2)) | ~sP2335(X0,$true,X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f61406])).
% 58.08/9.42 tff(f61406,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (iG1478(X0,sK4963(X0,X1,X2),sK4962(X0,X1,X2)) | ($true != X1) | ~sP2335(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43914])).
% 58.08/9.42 tff(f103894,plain,(
% 58.08/9.42 spl5880_4341),
% 58.08/9.42 inference(avatar_split_clause,[],[f68601,f103892])).
% 58.08/9.42 tff(f103892,plain,(
% 58.08/9.42 spl5880_4341 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1480(sK4960(X0,$true,X2),sK4959(X0,$true,X2),X0) | ~sP2336(X0,$true,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4341])])).
% 58.08/9.42 tff(f68601,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1480(sK4960(X0,$true,X2),sK4959(X0,$true,X2),X0) | ~sP2336(X0,$true,X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f61403])).
% 58.08/9.42 tff(f61403,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (iG1480(sK4960(X0,X1,X2),sK4959(X0,X1,X2),X0) | ($true != X1) | ~sP2336(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43909])).
% 58.08/9.42 tff(f103890,plain,(
% 58.08/9.42 spl5880_4340),
% 58.08/9.42 inference(avatar_split_clause,[],[f68437,f103888])).
% 58.08/9.42 tff(f103888,plain,(
% 58.08/9.42 spl5880_4340 <=> ! [X0 : $tType,X2 : X0] : ($true = aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X2),X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4340])])).
% 58.08/9.42 tff(f68437,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X2),X2))) )),
% 58.08/9.42 inference(equality_resolution,[],[f60281])).
% 58.08/9.42 tff(f60281,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2)) | X1 != X2) )),
% 58.08/9.42 inference(cnf_transformation,[],[f17234])).
% 58.08/9.42 tff(f17234,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2)) | X1 != X2)),
% 58.08/9.42 inference(fool_elimination,[],[f17233])).
% 58.08/9.42 tff(f17233,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X1),X2) | X1 != X2)),
% 58.08/9.42 inference(rectify,[],[f9820])).
% 58.08/9.42 tff(f9820,axiom,(
% 58.08/9.42 ! [X0 : $tType,X465 : X0,X18 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),fequal(X0),X465),X18) | X18 != X465)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_T)).
% 58.08/9.42 tff(f103886,plain,(
% 58.08/9.42 spl5880_4339),
% 58.08/9.42 inference(avatar_split_clause,[],[f68412,f103884])).
% 58.08/9.42 tff(f103884,plain,(
% 58.08/9.42 spl5880_4339 <=> ! [X1 : real] : ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4339])])).
% 58.08/9.42 tff(f68412,plain,(
% 58.08/9.42 ( ! [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X1),X1))) )),
% 58.08/9.42 inference(equality_resolution,[],[f59762])).
% 58.08/9.42 tff(f59762,plain,(
% 58.08/9.42 ( ! [X0 : real,X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) | X0 != X1) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42663])).
% 58.08/9.42 tff(f42663,plain,(
% 58.08/9.42 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) | (X0 != X1 & ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1)))) & (X0 = X1 | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1))))),
% 58.08/9.42 inference(flattening,[],[f42662])).
% 58.08/9.42 tff(f42662,plain,(
% 58.08/9.42 ! [X0 : real,X1 : real] : ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) | (X0 != X1 & ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1)))) & ((X0 = X1 | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1))))),
% 58.08/9.42 inference(nnf_transformation,[],[f16722])).
% 58.08/9.42 tff(f16722,plain,(
% 58.08/9.42 ! [X0 : real,X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1)) <=> (X0 = X1 | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1))))),
% 58.08/9.42 inference(fool_elimination,[],[f16721])).
% 58.08/9.42 tff(f16721,plain,(
% 58.08/9.42 ! [X0 : real,X1 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X0),X1) <=> (X0 = X1 | aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X1)))),
% 58.08/9.42 inference(rectify,[],[f514])).
% 58.08/9.42 tff(f514,axiom,(
% 58.08/9.42 ! [X9 : real,X18 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X9),X18) <=> (X9 = X18 | aa(real,$o,aa(real,fun(real,$o),ord_less(real),X9),X18)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_513_less__eq__real__def)).
% 58.08/9.42 tff(f103882,plain,(
% 58.08/9.42 spl5880_4338),
% 58.08/9.42 inference(avatar_split_clause,[],[f68409,f103880])).
% 58.08/9.42 tff(f103880,plain,(
% 58.08/9.42 spl5880_4338 <=> ! [X1 : rat] : ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X1),X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4338])])).
% 58.08/9.42 tff(f68409,plain,(
% 58.08/9.42 ( ! [X1 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X1),X1))) )),
% 58.08/9.42 inference(equality_resolution,[],[f59748])).
% 58.08/9.42 tff(f59748,plain,(
% 58.08/9.42 ( ! [X0 : rat,X1 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1)) | X0 != X1) )),
% 58.08/9.42 inference(cnf_transformation,[],[f42653])).
% 58.08/9.42 tff(f42653,plain,(
% 58.08/9.42 ! [X0 : rat,X1 : rat] : ((($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1)) | (X0 != X1 & ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1)))) & (X0 = X1 | ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1)) | ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1))))),
% 58.08/9.42 inference(flattening,[],[f42652])).
% 58.08/9.42 tff(f42652,plain,(
% 58.08/9.42 ! [X0 : rat,X1 : rat] : ((($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1)) | (X0 != X1 & ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1)))) & ((X0 = X1 | ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1))) | ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1))))),
% 58.08/9.42 inference(nnf_transformation,[],[f16702])).
% 58.08/9.42 tff(f16702,plain,(
% 58.08/9.42 ! [X0 : rat,X1 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1)) <=> (X0 = X1 | ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1))))),
% 58.08/9.42 inference(fool_elimination,[],[f16701])).
% 58.08/9.42 tff(f16701,plain,(
% 58.08/9.42 ! [X0 : rat,X1 : rat] : (aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X0),X1) <=> (X0 = X1 | aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X0),X1)))),
% 58.08/9.42 inference(rectify,[],[f5489])).
% 58.08/9.42 tff(f5489,axiom,(
% 58.08/9.42 ! [X9 : rat,X18 : rat] : (aa(rat,$o,aa(rat,fun(rat,$o),ord_less_eq(rat),X9),X18) <=> (X9 = X18 | aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),X9),X18)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5488_less__eq__rat__def)).
% 58.08/9.42 tff(f103878,plain,(
% 58.08/9.42 spl5880_4337),
% 58.08/9.42 inference(avatar_split_clause,[],[f68071,f103876])).
% 58.08/9.42 tff(f103876,plain,(
% 58.08/9.42 spl5880_4337 <=> ! [X3 : $tType,X4 : X3,X5 : list(X3),X2 : fun(list(X3),fun(list(X3),$o))] : sP1983(X3,nil(X3),aa(list(X3),list(X3),cons(X3,X4),X5),X2)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4337])])).
% 58.08/9.42 tff(f68071,plain,(
% 58.08/9.42 ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),$o)),X4 : X3,X5 : list(X3)] : (sP1983(X3,nil(X3),aa(list(X3),list(X3),cons(X3,X4),X5),X2)) )),
% 58.08/9.42 inference(equality_resolution,[],[f68070])).
% 58.08/9.42 tff(f68070,plain,(
% 58.08/9.42 ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),$o)),X0 : list(X3),X4 : X3,X5 : list(X3)] : (sP1983(X3,X0,aa(list(X3),list(X3),cons(X3,X4),X5),X2) | nil(X3) != X0) )),
% 58.08/9.42 inference(equality_resolution,[],[f55489])).
% 58.08/9.42 tff(f55489,plain,(
% 58.08/9.42 ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),$o)),X0 : list(X3),X1 : list(X3),X4 : X3,X5 : list(X3)] : (sP1983(X3,X0,X1,X2) | aa(list(X3),list(X3),cons(X3,X4),X5) != X1 | nil(X3) != X0) )),
% 58.08/9.42 inference(cnf_transformation,[],[f40290])).
% 58.08/9.42 tff(f40290,plain,(
% 58.08/9.42 ! [X0 : list(X3),X1 : list(X3),X2 : fun(list(X3),fun(list(X3),$o)),X3 : $tType] : ((sP1983(X3,X0,X1,X2) | (~sP1981(X3,X2,X1,X0) & ~sP1982(X3,X1,X0) & ! [X4 : X3,X5 : list(X3)] : (aa(list(X3),list(X3),cons(X3,X4),X5) != X1 | nil(X3) != X0))) & (sP1981(X3,X2,X1,X0) | sP1982(X3,X1,X0) | (aa(list(X3),list(X3),cons(X3,sK2941(X3,X0,X1)),sK2942(X3,X0,X1)) = X1 & nil(X3) = X0) | ~sP1983(X3,X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2941,sK2942])],[f40288,f40289])).
% 58.08/9.42 tff(f40289,plain,(
% 58.08/9.42 ! [X3 : $tType,X0 : list(X3),X1 : list(X3)] : (? [X6 : X3,X7 : list(X3)] : (aa(list(X3),list(X3),cons(X3,X6),X7) = X1 & nil(X3) = X0) => (aa(list(X3),list(X3),cons(X3,sK2941(X3,X0,X1)),sK2942(X3,X0,X1)) = X1 & nil(X3) = X0))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f40288,plain,(
% 58.08/9.42 ! [X0 : list(X3),X1 : list(X3),X2 : fun(list(X3),fun(list(X3),$o)),X3 : $tType] : ((sP1983(X3,X0,X1,X2) | (~sP1981(X3,X2,X1,X0) & ~sP1982(X3,X1,X0) & ! [X4 : X3,X5 : list(X3)] : (aa(list(X3),list(X3),cons(X3,X4),X5) != X1 | nil(X3) != X0))) & (sP1981(X3,X2,X1,X0) | sP1982(X3,X1,X0) | ? [X6 : X3,X7 : list(X3)] : (aa(list(X3),list(X3),cons(X3,X6),X7) = X1 & nil(X3) = X0) | ~sP1983(X3,X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f40287])).
% 58.08/9.42 tff(f40287,plain,(
% 58.08/9.42 ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),$o)),X0 : $tType] : ((sP1983(X0,X2,X3,X1) | (~sP1981(X0,X1,X3,X2) & ~sP1982(X0,X3,X2) & ! [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) != X3 | nil(X0) != X2))) & (sP1981(X0,X1,X3,X2) | sP1982(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2) | ~sP1983(X0,X2,X3,X1)))),
% 58.08/9.42 inference(flattening,[],[f40286])).
% 58.08/9.42 tff(f40286,plain,(
% 58.08/9.42 ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),$o)),X0 : $tType] : ((sP1983(X0,X2,X3,X1) | (~sP1981(X0,X1,X3,X2) & ~sP1982(X0,X3,X2) & ! [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) != X3 | nil(X0) != X2))) & ((sP1981(X0,X1,X3,X2) | sP1982(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2)) | ~sP1983(X0,X2,X3,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37173])).
% 58.08/9.42 tff(f37173,plain,(
% 58.08/9.42 ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),$o)),X0 : $tType] : (sP1983(X0,X2,X3,X1) <=> (sP1981(X0,X1,X3,X2) | sP1982(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2)))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1983])])).
% 58.08/9.42 tff(f103873,plain,(
% 58.08/9.42 spl5880_4336),
% 58.08/9.42 inference(avatar_split_clause,[],[f66905,f103871])).
% 58.08/9.42 tff(f66905,plain,(
% 58.08/9.42 ( ! [X4 : $o,X5 : $o] : ((bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),zero_zero(nat)))) )),
% 58.08/9.42 inference(equality_resolution,[],[f65301])).
% 58.08/9.42 tff(f65301,plain,(
% 58.08/9.42 ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1539(X5) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X5),bG1544(X4))),X3)) | zero_zero(nat) != X3) )),
% 58.08/9.42 inference(definition_unfolding,[],[f46667,f62577])).
% 58.08/9.42 tff(f62577,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : $o,X1 : $o] : ((iG1542(X2,X1,X0) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X0),bG1544(X1))),X2))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f18899])).
% 58.08/9.42 tff(f18899,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : (iG1542(X2,X1,X0) = aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(bG1543(X0),bG1544(X1))),X2))),
% 58.08/9.42 inference(fool_elimination,[],[f18892,f18898,f18897,f18896,f18895,f18894,f18893])).
% 58.08/9.42 tff(f18893,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1539(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1539])])).
% 58.08/9.42 tff(f18894,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1540(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1540])])).
% 58.08/9.42 tff(f18895,plain,(
% 58.08/9.42 ! [X2 : nat,X1 : $o] : (~one_one(nat) = X2 => ($false = iG1541(X2,X1))) & ! [X2 : nat,X1 : $o] : (one_one(nat) = X2 => (bG1540(X1) = iG1541(X2,X1)))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG1541])])).
% 58.08/9.42 tff(f18896,plain,(
% 58.08/9.42 ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => (iG1541(X2,X1) = iG1542(X2,X1,X0))) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => (bG1539(X0) = iG1542(X2,X1,X0)))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG1542])])).
% 58.08/9.42 tff(f18897,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1543(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1543])])).
% 58.08/9.42 tff(f18898,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1544(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1544])])).
% 58.08/9.42 tff(f18892,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : nat] : (aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2) <=> $ite(zero_zero(nat) = X2, X0,$ite(one_one(nat) = X2, X1,$false)))),
% 58.08/9.42 inference(rectify,[],[f1058])).
% 58.08/9.42 tff(f1058,axiom,(
% 58.08/9.42 ! [X11 : $o,X12 : $o,X9 : nat] : (aa(nat,$o,vEBT_vebt_member(vEBT_Leaf(X11,X12)),X9) <=> $ite(zero_zero(nat) = X9, X11,$ite(one_one(nat) = X9, X12,$false)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1057_vebt__member_Osimps_I1_J)).
% 58.08/9.42 tff(f46667,plain,(
% 58.08/9.42 ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1539(X5) = iG1542(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27496])).
% 58.08/9.42 tff(f27496,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1541(X0,X1) = iG1542(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1539(X5) = iG1542(X3,X4,X5)) | zero_zero(nat) != X3)),
% 58.08/9.42 inference(ennf_transformation,[],[f20929])).
% 58.08/9.42 tff(f20929,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1541(X0,X1) = iG1542(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1539(X5) = iG1542(X3,X4,X5)))),
% 58.08/9.42 inference(flattening,[],[f20928])).
% 58.08/9.42 tff(f20928,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1541(X0,X1) = iG1542(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1539(X5) = iG1542(X3,X4,X5)))),
% 58.08/9.42 inference(rectify,[],[f18896])).
% 58.08/9.42 tff(f103869,plain,(
% 58.08/9.42 spl5880_4335),
% 58.08/9.42 inference(avatar_split_clause,[],[f66807,f103867])).
% 58.08/9.42 tff(f103867,plain,(
% 58.08/9.42 spl5880_4335 <=> ! [X10 : list(vEBT_VEBT),X11 : nat,X9 : vEBT_VEBT,X8 : nat,X7 : nat] : iG1834(X8,X9,X10,X11,X7) = iG1835(X7,X7,X8,X9,X10,X11)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4335])])).
% 58.08/9.42 tff(f66807,plain,(
% 58.08/9.42 ( ! [X10 : list(vEBT_VEBT),X11 : nat,X8 : nat,X9 : vEBT_VEBT,X7 : nat] : (iG1834(X8,X9,X10,X11,X7) = iG1835(X7,X7,X8,X9,X10,X11)) )),
% 58.08/9.42 inference(equality_resolution,[],[f46119])).
% 58.08/9.42 tff(f46119,plain,(
% 58.08/9.42 ( ! [X10 : list(vEBT_VEBT),X11 : nat,X8 : nat,X6 : nat,X9 : vEBT_VEBT,X7 : nat] : (iG1834(X8,X9,X10,X11,X6) = iG1835(X6,X7,X8,X9,X10,X11) | X6 != X7) )),
% 58.08/9.42 inference(cnf_transformation,[],[f27310])).
% 58.08/9.42 tff(f27310,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (iG1835(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (iG1834(X8,X9,X10,X11,X6) = iG1835(X6,X7,X8,X9,X10,X11) | X6 != X7)),
% 58.08/9.42 inference(ennf_transformation,[],[f20495])).
% 58.08/9.42 tff(f20495,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (X0 != X1 => iG1835(X0,X1,X2,X3,X4,X5) = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => iG1834(X8,X9,X10,X11,X6) = iG1835(X6,X7,X8,X9,X10,X11))),
% 58.08/9.42 inference(flattening,[],[f20494])).
% 58.08/9.42 tff(f20494,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X5 : nat] : (~X0 = X1 => iG1835(X0,X1,X2,X3,X4,X5) = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : vEBT_VEBT,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => iG1834(X8,X9,X10,X11,X6) = iG1835(X6,X7,X8,X9,X10,X11))),
% 58.08/9.42 inference(rectify,[],[f20411])).
% 58.08/9.42 tff(f20411,plain,(
% 58.08/9.42 ! [X4 : nat,X2 : nat,X5 : nat,X6 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1835(X4,X2,X5,X6,X10,X3) = X2) & ! [X4 : nat,X2 : nat,X5 : nat,X6 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => iG1834(X5,X6,X10,X3,X4) = iG1835(X4,X2,X5,X6,X10,X3))),
% 58.08/9.42 introduced(fool_ite_definition,[new_symbols(definition,[iG1835])])).
% 58.08/9.42 tff(f103865,plain,(
% 58.08/9.42 spl5880_4334),
% 58.08/9.42 inference(avatar_split_clause,[],[f65750,f103862])).
% 58.08/9.42 tff(f103862,plain,(
% 58.08/9.42 spl5880_4334 <=> zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),zero_zero(int)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4334])])).
% 58.08/9.42 tff(f65750,plain,(
% 58.08/9.42 zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),zero_zero(int)))),
% 58.08/9.42 inference(definition_unfolding,[],[f50033,f57183])).
% 58.08/9.42 tff(f50033,plain,(
% 58.08/9.42 zero_zero(rat) = fract(zero_zero(int),one_one(int))),
% 58.08/9.42 inference(cnf_transformation,[],[f7306])).
% 58.08/9.42 tff(f7306,axiom,(
% 58.08/9.42 zero_zero(rat) = fract(zero_zero(int),one_one(int))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7305_Zero__rat__def)).
% 58.08/9.42 tff(f103857,plain,(
% 58.08/9.42 spl5880_4333),
% 58.08/9.42 inference(avatar_split_clause,[],[f65748,f103854])).
% 58.08/9.42 tff(f103854,plain,(
% 58.08/9.42 spl5880_4333 <=> one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),one_one(int)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4333])])).
% 58.08/9.42 tff(f65748,plain,(
% 58.08/9.42 one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),one_one(int)))),
% 58.08/9.42 inference(definition_unfolding,[],[f50030,f57183])).
% 58.08/9.42 tff(f50030,plain,(
% 58.08/9.42 one_one(rat) = fract(one_one(int),one_one(int))),
% 58.08/9.42 inference(cnf_transformation,[],[f7305])).
% 58.08/9.42 tff(f7305,axiom,(
% 58.08/9.42 one_one(rat) = fract(one_one(int),one_one(int))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7304_One__rat__def)).
% 58.08/9.42 tff(f103850,plain,(
% 58.08/9.42 spl5880_4332),
% 58.08/9.42 inference(avatar_split_clause,[],[f64826,f103847])).
% 58.08/9.42 tff(f64826,plain,(
% 58.08/9.42 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma) = $true)),
% 58.08/9.42 inference(cnf_transformation,[],[f20431])).
% 58.08/9.42 tff(f20431,plain,(
% 58.08/9.42 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma) = $true)),
% 58.08/9.42 inference(fool_elimination,[],[f20430])).
% 58.08/9.42 tff(f20430,plain,(
% 58.08/9.42 aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma)),
% 58.08/9.42 inference(rectify,[],[f178])).
% 58.08/9.42 tff(f178,axiom,(
% 58.08/9.42 aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),ma)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177__C5_Ohyps_C_I7_J)).
% 58.08/9.42 tff(f103845,plain,(
% 58.08/9.42 spl5880_4331),
% 58.08/9.42 inference(avatar_split_clause,[],[f64776,f103843])).
% 58.08/9.42 tff(f103843,plain,(
% 58.08/9.42 spl5880_4331 <=> ! [X5 : nat,X6 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X3 = X7 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4331])])).
% 58.08/9.42 tff(f64776,plain,(
% 58.08/9.42 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X3 = X7 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f46073])).
% 58.08/9.42 tff(f103841,plain,(
% 58.08/9.42 spl5880_4330),
% 58.08/9.42 inference(avatar_split_clause,[],[f64774,f103839])).
% 58.08/9.42 tff(f103839,plain,(
% 58.08/9.42 spl5880_4330 <=> ! [X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X6 : list(vEBT_VEBT),X5 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (X1 = X5 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4330])])).
% 58.08/9.42 tff(f64774,plain,(
% 58.08/9.42 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X1 = X5 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f46073])).
% 58.08/9.42 tff(f103837,plain,(
% 58.08/9.42 spl5880_4329),
% 58.08/9.42 inference(avatar_split_clause,[],[f64659,f103835])).
% 58.08/9.42 tff(f103835,plain,(
% 58.08/9.42 spl5880_4329 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),sK5795(X0))) | ~sP2509(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4329])])).
% 58.08/9.42 tff(f64659,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5794(X0)),sK5795(X0))) | ~sP2509(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45988])).
% 58.08/9.42 tff(f103833,plain,(
% 58.08/9.42 spl5880_4328),
% 58.08/9.42 inference(avatar_split_clause,[],[f64644,f103831])).
% 58.08/9.42 tff(f103831,plain,(
% 58.08/9.42 spl5880_4328 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),sK5788(X0))) | ~sP2505(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4328])])).
% 58.08/9.42 tff(f64644,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK5787(X0)),sK5788(X0))) | ~sP2505(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45967])).
% 58.08/9.42 tff(f103829,plain,(
% 58.08/9.42 spl5880_4327),
% 58.08/9.42 inference(avatar_split_clause,[],[f64520,f103827])).
% 58.08/9.42 tff(f103827,plain,(
% 58.08/9.42 spl5880_4327 <=> ! [X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X0 : fun(X1,$o),X5 : list(X1)] : (($true = aa(X1,$o,X0,X3)) | ~sP2498(X1,X0,X2,X3,X4,X5))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4327])])).
% 58.08/9.42 tff(f64520,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X3 : X1,X0 : fun(X1,$o),X4 : list(X1),X5 : list(X1)] : (($true = aa(X1,$o,X0,X3)) | ~sP2498(X1,X0,X2,X3,X4,X5)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45913])).
% 58.08/9.42 tff(f45913,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X5 : list(X1)] : ((sP2498(X1,X0,X2,X3,X4,X5) | (($true = aa(X1,$o,X0,sK5766(X1,X0,X2))) & member(X1,sK5766(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))) | ($true != aa(X1,$o,X0,X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,X3),X5)) != X4) & ((! [X7 : X1] : (($true != aa(X1,$o,X0,X7)) | ~member(X1,X7,aa(list(X1),set(X1),set2(X1),X2))) & ($true = aa(X1,$o,X0,X3)) & append(X1,X2,aa(list(X1),list(X1),cons(X1,X3),X5)) = X4) | ~sP2498(X1,X0,X2,X3,X4,X5)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5766])],[f45911,f45912])).
% 58.08/9.42 tff(f45912,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X6 : X1] : (($true = aa(X1,$o,X0,X6)) & member(X1,X6,aa(list(X1),set(X1),set2(X1),X2))) => (($true = aa(X1,$o,X0,sK5766(X1,X0,X2))) & member(X1,sK5766(X1,X0,X2),aa(list(X1),set(X1),set2(X1),X2))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45911,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X5 : list(X1)] : ((sP2498(X1,X0,X2,X3,X4,X5) | ? [X6 : X1] : (($true = aa(X1,$o,X0,X6)) & member(X1,X6,aa(list(X1),set(X1),set2(X1),X2))) | ($true != aa(X1,$o,X0,X3)) | append(X1,X2,aa(list(X1),list(X1),cons(X1,X3),X5)) != X4) & ((! [X7 : X1] : (($true != aa(X1,$o,X0,X7)) | ~member(X1,X7,aa(list(X1),set(X1),set2(X1),X2))) & ($true = aa(X1,$o,X0,X3)) & append(X1,X2,aa(list(X1),list(X1),cons(X1,X3),X5)) = X4) | ~sP2498(X1,X0,X2,X3,X4,X5)))),
% 58.08/9.42 inference(rectify,[],[f45910])).
% 58.08/9.42 tff(f45910,plain,(
% 58.08/9.42 ! [X1 : fun(X0,$o),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : ((sP2498(X0,X1,X3,X4,X2,X5) | ? [X6 : X0] : (($true = aa(X0,$o,X1,X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X3))) | ($true != aa(X0,$o,X1,X4)) | append(X0,X3,aa(list(X0),list(X0),cons(X0,X4),X5)) != X2) & ((! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X3))) & ($true = aa(X0,$o,X1,X4)) & append(X0,X3,aa(list(X0),list(X0),cons(X0,X4),X5)) = X2) | ~sP2498(X0,X1,X3,X4,X2,X5)))),
% 58.08/9.42 inference(flattening,[],[f45909])).
% 58.08/9.42 tff(f45909,plain,(
% 58.08/9.42 ! [X1 : fun(X0,$o),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : ((sP2498(X0,X1,X3,X4,X2,X5) | (? [X6 : X0] : (($true = aa(X0,$o,X1,X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X3))) | ($true != aa(X0,$o,X1,X4)) | append(X0,X3,aa(list(X0),list(X0),cons(X0,X4),X5)) != X2)) & ((! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X3))) & ($true = aa(X0,$o,X1,X4)) & append(X0,X3,aa(list(X0),list(X0),cons(X0,X4),X5)) = X2) | ~sP2498(X0,X1,X3,X4,X2,X5)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37925])).
% 58.08/9.42 tff(f37925,plain,(
% 58.08/9.42 ! [X1 : fun(X0,$o),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : (sP2498(X0,X1,X3,X4,X2,X5) <=> (! [X6 : X0] : (($true != aa(X0,$o,X1,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X3))) & ($true = aa(X0,$o,X1,X4)) & append(X0,X3,aa(list(X0),list(X0),cons(X0,X4),X5)) = X2))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2498])])).
% 58.08/9.42 tff(f103825,plain,(
% 58.08/9.42 spl5880_4326),
% 58.08/9.42 inference(avatar_split_clause,[],[f64512,f103823])).
% 58.08/9.42 tff(f103823,plain,(
% 58.08/9.42 spl5880_4326 <=> ! [X3 : $tType,X4 : list(X3),X0 : set(product_prod(X3,X3)),X5 : list(X3),X2 : X3,X1 : X3] : (X4 = X5 | X1 = X2 | ~sP2497(X3,X0,X1,X2,X4,X5))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4326])])).
% 58.08/9.42 tff(f64512,plain,(
% 58.08/9.42 ( ! [X3 : $tType,X2 : X3,X0 : set(product_prod(X3,X3)),X1 : X3,X4 : list(X3),X5 : list(X3)] : (X4 = X5 | X1 = X2 | ~sP2497(X3,X0,X1,X2,X4,X5)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45907])).
% 58.08/9.42 tff(f45907,plain,(
% 58.08/9.42 ! [X0 : set(product_prod(X3,X3)),X1 : X3,X2 : X3,X3 : $tType,X4 : list(X3),X5 : list(X3)] : ((sP2497(X3,X0,X1,X2,X4,X5) | ((~member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X2),X1),X0) | X4 != X5) & (X1 != X2 | ~member(product_prod(list(X3),list(X3)),aa(list(X3),product_prod(list(X3),list(X3)),aa(list(X3),fun(list(X3),product_prod(list(X3),list(X3))),product_Pair(list(X3),list(X3)),X5),X4),listrel1(X3,X0))))) & ((member(product_prod(X3,X3),aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),X2),X1),X0) & X4 = X5) | (X1 = X2 & member(product_prod(list(X3),list(X3)),aa(list(X3),product_prod(list(X3),list(X3)),aa(list(X3),fun(list(X3),product_prod(list(X3),list(X3))),product_Pair(list(X3),list(X3)),X5),X4),listrel1(X3,X0))) | ~sP2497(X3,X0,X1,X2,X4,X5)))),
% 58.08/9.42 inference(rectify,[],[f45906])).
% 58.08/9.42 tff(f45906,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X4 : X0,X2 : X0,X0 : $tType,X3 : list(X0),X1 : list(X0)] : ((sP2497(X0,X5,X4,X2,X3,X1) | ((~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),X5) | X1 != X3) & (X2 != X4 | ~member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X1),X3),listrel1(X0,X5))))) & ((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),X5) & X1 = X3) | (X2 = X4 & member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X1),X3),listrel1(X0,X5))) | ~sP2497(X0,X5,X4,X2,X3,X1)))),
% 58.08/9.42 inference(flattening,[],[f45905])).
% 58.08/9.42 tff(f45905,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X4 : X0,X2 : X0,X0 : $tType,X3 : list(X0),X1 : list(X0)] : ((sP2497(X0,X5,X4,X2,X3,X1) | ((~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),X5) | X1 != X3) & (X2 != X4 | ~member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X1),X3),listrel1(X0,X5))))) & (((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),X5) & X1 = X3) | (X2 = X4 & member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X1),X3),listrel1(X0,X5)))) | ~sP2497(X0,X5,X4,X2,X3,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37923])).
% 58.08/9.42 tff(f37923,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X4 : X0,X2 : X0,X0 : $tType,X3 : list(X0),X1 : list(X0)] : (sP2497(X0,X5,X4,X2,X3,X1) <=> ((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),X5) & X1 = X3) | (X2 = X4 & member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X1),X3),listrel1(X0,X5)))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2497])])).
% 58.08/9.42 tff(f103821,plain,(
% 58.08/9.42 spl5880_4325),
% 58.08/9.42 inference(avatar_split_clause,[],[f64504,f103819])).
% 58.08/9.42 tff(f103819,plain,(
% 58.08/9.42 spl5880_4325 <=> ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X4 : X1,X0 : set(product_prod(X1,X1)),X5 : X1] : (X4 = X5 | X2 = X3 | ~sP2496(X1,X0,X2,X3,X4,X5))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4325])])).
% 58.08/9.42 tff(f64504,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : set(product_prod(X1,X1)),X4 : X1,X5 : X1] : (X4 = X5 | X2 = X3 | ~sP2496(X1,X0,X2,X3,X4,X5)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45903])).
% 58.08/9.42 tff(f45903,plain,(
% 58.08/9.42 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : list(X1),X3 : list(X1),X4 : X1,X5 : X1] : ((sP2496(X1,X0,X2,X3,X4,X5) | ((~member(product_prod(list(X1),list(X1)),aa(list(X1),product_prod(list(X1),list(X1)),aa(list(X1),fun(list(X1),product_prod(list(X1),list(X1))),product_Pair(list(X1),list(X1)),X3),X2),listrel1(X1,X0)) | X4 != X5) & (X2 != X3 | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X4),X0)))) & ((member(product_prod(list(X1),list(X1)),aa(list(X1),product_prod(list(X1),list(X1)),aa(list(X1),fun(list(X1),product_prod(list(X1),list(X1))),product_Pair(list(X1),list(X1)),X3),X2),listrel1(X1,X0)) & X4 = X5) | (X2 = X3 & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X4),X0)) | ~sP2496(X1,X0,X2,X3,X4,X5)))),
% 58.08/9.42 inference(rectify,[],[f45902])).
% 58.08/9.42 tff(f45902,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X0 : $tType,X4 : list(X0),X2 : list(X0),X3 : X0,X1 : X0] : ((sP2496(X0,X5,X4,X2,X3,X1) | ((~member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X2),X4),listrel1(X0,X5)) | X1 != X3) & (X2 != X4 | ~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X3),X5)))) & ((member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X2),X4),listrel1(X0,X5)) & X1 = X3) | (X2 = X4 & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X3),X5)) | ~sP2496(X0,X5,X4,X2,X3,X1)))),
% 58.08/9.42 inference(flattening,[],[f45901])).
% 58.08/9.42 tff(f45901,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X0 : $tType,X4 : list(X0),X2 : list(X0),X3 : X0,X1 : X0] : ((sP2496(X0,X5,X4,X2,X3,X1) | ((~member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X2),X4),listrel1(X0,X5)) | X1 != X3) & (X2 != X4 | ~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X3),X5)))) & (((member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X2),X4),listrel1(X0,X5)) & X1 = X3) | (X2 = X4 & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X3),X5))) | ~sP2496(X0,X5,X4,X2,X3,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37921])).
% 58.08/9.42 tff(f37921,plain,(
% 58.08/9.42 ! [X5 : set(product_prod(X0,X0)),X0 : $tType,X4 : list(X0),X2 : list(X0),X3 : X0,X1 : X0] : (sP2496(X0,X5,X4,X2,X3,X1) <=> ((member(product_prod(list(X0),list(X0)),aa(list(X0),product_prod(list(X0),list(X0)),aa(list(X0),fun(list(X0),product_prod(list(X0),list(X0))),product_Pair(list(X0),list(X0)),X2),X4),listrel1(X0,X5)) & X1 = X3) | (X2 = X4 & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X1),X3),X5))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2496])])).
% 58.08/9.42 tff(f103817,plain,(
% 58.08/9.42 spl5880_4324),
% 58.08/9.42 inference(avatar_split_clause,[],[f63995,f103815])).
% 58.08/9.42 tff(f103815,plain,(
% 58.08/9.42 spl5880_4324 <=> ! [X1 : $tType,X2 : fun(X1,fun(X1,$o)),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5642(X1,X0,X2))) | ~sP2474(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4324])])).
% 58.08/9.42 tff(f63995,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : fun(X1,fun(X1,$o)),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5642(X1,X0,X2))) | ~sP2474(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45589])).
% 58.08/9.42 tff(f45589,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,fun(X1,$o))] : ((($true != aa(X1,$o,X0,sK5642(X1,X0,X2))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),X2,sK5642(X1,X0,X2)),sK5641(X1,X0,X2))) & ($true = aa(X1,$o,X0,sK5641(X1,X0,X2)))) | ~sP2474(X1,X0,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5641,sK5642])],[f45587,f45588])).
% 58.08/9.42 tff(f45588,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : fun(X1,fun(X1,$o))] : (? [X3 : X1,X4 : X1] : (($true != aa(X1,$o,X0,X4)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),X2,X4),X3)) & ($true = aa(X1,$o,X0,X3))) => (($true != aa(X1,$o,X0,sK5642(X1,X0,X2))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),X2,sK5642(X1,X0,X2)),sK5641(X1,X0,X2))) & ($true = aa(X1,$o,X0,sK5641(X1,X0,X2)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45587,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,fun(X1,$o))] : (? [X3 : X1,X4 : X1] : (($true != aa(X1,$o,X0,X4)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),X2,X4),X3)) & ($true = aa(X1,$o,X0,X3))) | ~sP2474(X1,X0,X2))),
% 58.08/9.42 inference(rectify,[],[f45586])).
% 58.08/9.42 tff(f45586,plain,(
% 58.08/9.42 ! [X1 : fun(X0,$o),X0 : $tType,X2 : fun(X0,fun(X0,$o))] : (? [X5 : X0,X6 : X0] : (($true != aa(X0,$o,X1,X6)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),X2,X6),X5)) & ($true = aa(X0,$o,X1,X5))) | ~sP2474(X0,X1,X2))),
% 58.08/9.42 inference(nnf_transformation,[],[f37880])).
% 58.08/9.42 tff(f37880,plain,(
% 58.08/9.42 ! [X1 : fun(X0,$o),X0 : $tType,X2 : fun(X0,fun(X0,$o))] : (? [X5 : X0,X6 : X0] : (($true != aa(X0,$o,X1,X6)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),X2,X6),X5)) & ($true = aa(X0,$o,X1,X5))) | ~sP2474(X0,X1,X2))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2474])])).
% 58.08/9.42 tff(f103812,plain,(
% 58.08/9.42 spl5880_4323),
% 58.08/9.42 inference(avatar_split_clause,[],[f63993,f103810])).
% 58.08/9.42 tff(f103810,plain,(
% 58.08/9.42 spl5880_4323 <=> ! [X1 : $tType,X2 : fun(X1,fun(X1,$o)),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5641(X1,X0,X2))) | ~sP2474(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4323])])).
% 58.08/9.42 tff(f63993,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : fun(X1,fun(X1,$o)),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5641(X1,X0,X2))) | ~sP2474(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45589])).
% 58.08/9.42 tff(f103808,plain,(
% 58.08/9.42 spl5880_4322),
% 58.08/9.42 inference(avatar_split_clause,[],[f63455,f103806])).
% 58.08/9.42 tff(f103806,plain,(
% 58.08/9.42 spl5880_4322 <=> ! [X2 : $o,X0 : $o,X1 : $o,X3 : $o] : ((X1 = X3) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4322])])).
% 58.08/9.42 tff(f63455,plain,(
% 58.08/9.42 ( ! [X2 : $o,X3 : $o,X0 : $o,X1 : $o] : ((X1 = X3) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45275])).
% 58.08/9.42 tff(f45275,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o] : ((vEBT_Leaf(bG1571(X0),bG1572(X1)) = vEBT_Leaf(bG1573(X2),bG1574(X3)) | (X1 != X3) | (X0 != X2)) & (((X1 = X3) & (X0 = X2)) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3))))),
% 58.08/9.42 inference(flattening,[],[f45274])).
% 58.08/9.42 tff(f45274,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o] : ((vEBT_Leaf(bG1571(X0),bG1572(X1)) = vEBT_Leaf(bG1573(X2),bG1574(X3)) | ((X1 != X3) | (X0 != X2))) & (((X1 = X3) & (X0 = X2)) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3))))),
% 58.08/9.42 inference(nnf_transformation,[],[f19353])).
% 58.08/9.42 tff(f19353,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o] : (vEBT_Leaf(bG1571(X0),bG1572(X1)) = vEBT_Leaf(bG1573(X2),bG1574(X3)) <=> ((X1 = X3) & (X0 = X2)))),
% 58.08/9.42 inference(fool_elimination,[],[f19348,f19352,f19351,f19350,f19349])).
% 58.08/9.42 tff(f19349,plain,(
% 58.08/9.42 ! [X0 : $o] : (($true = X0) <=> ($true = bG1571(X0)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1571])])).
% 58.08/9.42 tff(f19350,plain,(
% 58.08/9.42 ! [X1 : $o] : (($true = X1) <=> ($true = bG1572(X1)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1572])])).
% 58.08/9.42 tff(f19351,plain,(
% 58.08/9.42 ! [X2 : $o] : (($true = X2) <=> ($true = bG1573(X2)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1573])])).
% 58.08/9.42 tff(f19352,plain,(
% 58.08/9.42 ! [X3 : $o] : (($true = X3) <=> ($true = bG1574(X3)))),
% 58.08/9.42 introduced(fool_formula_definition,[new_symbols(definition,[bG1574])])).
% 58.08/9.42 tff(f19348,plain,(
% 58.08/9.42 ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o] : (vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) <=> ((X1 <=> X3) & (X0 <=> X2)))),
% 58.08/9.42 inference(rectify,[],[f847])).
% 58.08/9.42 tff(f847,axiom,(
% 58.08/9.42 ! [X139 : $o,X140 : $o,X141 : $o,X142 : $o] : (vEBT_Leaf(X139,X140) = vEBT_Leaf(X141,X142) <=> ((X140 <=> X142) & (X139 <=> X141)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_846_VEBT_Oinject_I2_J)).
% 58.08/9.42 tff(f103804,plain,(
% 58.08/9.42 spl5880_4321),
% 58.08/9.42 inference(avatar_split_clause,[],[f63454,f103802])).
% 58.08/9.42 tff(f103802,plain,(
% 58.08/9.42 spl5880_4321 <=> ! [X0 : $o,X3 : $o,X2 : $o,X1 : $o] : ((X0 = X2) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4321])])).
% 58.08/9.42 tff(f63454,plain,(
% 58.08/9.42 ( ! [X2 : $o,X3 : $o,X0 : $o,X1 : $o] : ((X0 = X2) | vEBT_Leaf(bG1571(X0),bG1572(X1)) != vEBT_Leaf(bG1573(X2),bG1574(X3))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45275])).
% 58.08/9.42 tff(f103800,plain,(
% 58.08/9.42 spl5880_4320),
% 58.08/9.42 inference(avatar_split_clause,[],[f63244,f103798])).
% 58.08/9.42 tff(f103798,plain,(
% 58.08/9.42 spl5880_4320 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5453(X0,X1,X2))) | ~sP2447(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4320])])).
% 58.08/9.42 tff(f63244,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5453(X0,X1,X2))) | ~sP2447(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45122])).
% 58.08/9.42 tff(f45122,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5453(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5453(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5453(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2447(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5453])],[f45120,f45121])).
% 58.08/9.42 tff(f45121,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5453(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5453(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5453(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45120,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2447(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45119])).
% 58.08/9.42 tff(f45119,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X3 : set(int)] : (? [X6 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X0))) & ($true = aa(int,$o,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X8),X7) != X6 | ~member(int,X8,X3)) | ~member(int,X7,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2447(X0,X1,X3))),
% 58.08/9.42 inference(nnf_transformation,[],[f37829])).
% 58.08/9.42 tff(f37829,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X3 : set(int)] : (? [X6 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X0))) & ($true = aa(int,$o,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X8),X7) != X6 | ~member(int,X8,X3)) | ~member(int,X7,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2447(X0,X1,X3))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2447])])).
% 58.08/9.42 tff(f103796,plain,(
% 58.08/9.42 spl5880_4319),
% 58.08/9.42 inference(avatar_split_clause,[],[f63231,f103794])).
% 58.08/9.42 tff(f103794,plain,(
% 58.08/9.42 spl5880_4319 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5445(X0,X1,X2))) | ~sP2444(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4319])])).
% 58.08/9.42 tff(f63231,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5445(X0,X1,X2))) | ~sP2444(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45103])).
% 58.08/9.42 tff(f45103,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5445(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5445(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5445(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2444(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5445])],[f45101,f45102])).
% 58.08/9.42 tff(f45102,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5445(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5445(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5445(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45101,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2444(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45100])).
% 58.08/9.42 tff(f45100,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X3 : set(int)] : (? [X6 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X0))) & ($true = aa(int,$o,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X8),X7) != X6 | ~member(int,X8,X3)) | ~member(int,X7,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2444(X0,X1,X3))),
% 58.08/9.42 inference(nnf_transformation,[],[f37825])).
% 58.08/9.42 tff(f37825,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X3 : set(int)] : (? [X6 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X0))) & ($true = aa(int,$o,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X8),X7) != X6 | ~member(int,X8,X3)) | ~member(int,X7,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2444(X0,X1,X3))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2444])])).
% 58.08/9.42 tff(f103792,plain,(
% 58.08/9.42 spl5880_4318),
% 58.08/9.42 inference(avatar_split_clause,[],[f63146,f103790])).
% 58.08/9.42 tff(f103790,plain,(
% 58.08/9.42 spl5880_4318 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5410(X0,X1,X2))) | ~sP2433(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4318])])).
% 58.08/9.42 tff(f63146,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5410(X0,X1,X2))) | ~sP2433(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45027])).
% 58.08/9.42 tff(f45027,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5410(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5410(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5410(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2433(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5410])],[f45025,f45026])).
% 58.08/9.42 tff(f45026,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5410(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5410(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5410(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45025,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2433(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45024])).
% 58.08/9.42 tff(f45024,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2433(X0,X2,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37809])).
% 58.08/9.42 tff(f37809,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2433(X0,X2,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2433])])).
% 58.08/9.42 tff(f103788,plain,(
% 58.08/9.42 spl5880_4317),
% 58.08/9.42 inference(avatar_split_clause,[],[f63143,f103786])).
% 58.08/9.42 tff(f103786,plain,(
% 58.08/9.42 spl5880_4317 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5409(X0,X1,X2))) | ~sP2434(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4317])])).
% 58.08/9.42 tff(f63143,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5409(X0,X1,X2))) | ~sP2434(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45023])).
% 58.08/9.42 tff(f45023,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5409(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5409(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5409(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2434(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5409])],[f45021,f45022])).
% 58.08/9.42 tff(f45022,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5409(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5409(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5409(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45021,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2434(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45020])).
% 58.08/9.42 tff(f45020,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2434(X0,X3,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37810])).
% 58.08/9.42 tff(f37810,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2434(X0,X3,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2434])])).
% 58.08/9.42 tff(f103784,plain,(
% 58.08/9.42 spl5880_4316),
% 58.08/9.42 inference(avatar_split_clause,[],[f63135,f103782])).
% 58.08/9.42 tff(f103782,plain,(
% 58.08/9.42 spl5880_4316 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5406(X0,X1,X2))) | ~sP2430(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4316])])).
% 58.08/9.42 tff(f63135,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5406(X0,X1,X2))) | ~sP2430(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45013])).
% 58.08/9.42 tff(f45013,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5406(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5406(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5406(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2430(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5406])],[f45011,f45012])).
% 58.08/9.42 tff(f45012,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5406(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5406(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5406(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45011,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2430(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45010])).
% 58.08/9.42 tff(f45010,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2430(X0,X2,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37805])).
% 58.08/9.42 tff(f37805,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2430(X0,X2,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2430])])).
% 58.08/9.42 tff(f103780,plain,(
% 58.08/9.42 spl5880_4315),
% 58.08/9.42 inference(avatar_split_clause,[],[f63132,f103778])).
% 58.08/9.42 tff(f103778,plain,(
% 58.08/9.42 spl5880_4315 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5405(X0,X1,X2))) | ~sP2431(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4315])])).
% 58.08/9.42 tff(f63132,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5405(X0,X1,X2))) | ~sP2431(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f45009])).
% 58.08/9.42 tff(f45009,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5405(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5405(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5405(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2431(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5405])],[f45007,f45008])).
% 58.08/9.42 tff(f45008,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK5405(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5405(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK5405(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f45007,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2431(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f45006])).
% 58.08/9.42 tff(f45006,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2431(X0,X3,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37806])).
% 58.08/9.42 tff(f37806,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2431(X0,X3,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2431])])).
% 58.08/9.42 tff(f103776,plain,(
% 58.08/9.42 spl5880_4314),
% 58.08/9.42 inference(avatar_split_clause,[],[f63124,f103774])).
% 58.08/9.42 tff(f103774,plain,(
% 58.08/9.42 spl5880_4314 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5402(X0,X1,X2))) | ~sP2427(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4314])])).
% 58.08/9.42 tff(f63124,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5402(X0,X1,X2))) | ~sP2427(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44999])).
% 58.08/9.42 tff(f44999,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5402(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5402(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5402(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2427(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5402])],[f44997,f44998])).
% 58.08/9.42 tff(f44998,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5402(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5402(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5402(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44997,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2427(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f44996])).
% 58.08/9.42 tff(f44996,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2427(X0,X2,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37801])).
% 58.08/9.42 tff(f37801,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2427(X0,X2,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2427])])).
% 58.08/9.42 tff(f103771,plain,(
% 58.08/9.42 spl5880_4313),
% 58.08/9.42 inference(avatar_split_clause,[],[f63121,f103769])).
% 58.08/9.42 tff(f103769,plain,(
% 58.08/9.42 spl5880_4313 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5401(X0,X1,X2))) | ~sP2428(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4313])])).
% 58.08/9.42 tff(f63121,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5401(X0,X1,X2))) | ~sP2428(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44995])).
% 58.08/9.42 tff(f44995,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5401(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5401(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5401(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2428(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5401])],[f44993,f44994])).
% 58.08/9.42 tff(f44994,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5401(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5401(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5401(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44993,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2428(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f44992])).
% 58.08/9.42 tff(f44992,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2428(X0,X3,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37802])).
% 58.08/9.42 tff(f37802,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2428(X0,X3,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2428])])).
% 58.08/9.42 tff(f103767,plain,(
% 58.08/9.42 spl5880_4312),
% 58.08/9.42 inference(avatar_split_clause,[],[f63113,f103765])).
% 58.08/9.42 tff(f103765,plain,(
% 58.08/9.42 spl5880_4312 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5398(X0,X1,X2))) | ~sP2424(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4312])])).
% 58.08/9.42 tff(f63113,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5398(X0,X1,X2))) | ~sP2424(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44985])).
% 58.08/9.42 tff(f44985,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5398(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5398(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5398(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2424(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5398])],[f44983,f44984])).
% 58.08/9.42 tff(f44984,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5398(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5398(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5398(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44983,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2424(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f44982])).
% 58.08/9.42 tff(f44982,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2424(X0,X2,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37797])).
% 58.08/9.42 tff(f37797,plain,(
% 58.08/9.42 ! [X0 : int,X2 : fun(int,$o),X1 : set(int)] : (? [X4 : int] : (($true != aa(int,$o,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & ($true = aa(int,$o,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~member(int,X6,X1)) | ~member(int,X5,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2424(X0,X2,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2424])])).
% 58.08/9.42 tff(f103763,plain,(
% 58.08/9.42 spl5880_4311),
% 58.08/9.42 inference(avatar_split_clause,[],[f63110,f103761])).
% 58.08/9.42 tff(f103761,plain,(
% 58.08/9.42 spl5880_4311 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5397(X0,X1,X2))) | ~sP2425(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4311])])).
% 58.08/9.42 tff(f63110,plain,(
% 58.08/9.42 ( ! [X2 : set(int),X0 : int,X1 : fun(int,$o)] : (($true = aa(int,$o,X1,sK5397(X0,X1,X2))) | ~sP2425(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44981])).
% 58.08/9.42 tff(f44981,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : ((($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5397(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5397(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5397(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2425(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5397])],[f44979,f44980])).
% 58.08/9.42 tff(f44980,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5397(X0,X1,X2)),X0))) & ($true = aa(int,$o,X1,sK5397(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK5397(X0,X1,X2) | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44979,plain,(
% 58.08/9.42 ! [X0 : int,X1 : fun(int,$o),X2 : set(int)] : (? [X3 : int] : (($true != aa(int,$o,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & ($true = aa(int,$o,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~member(int,X5,X2)) | ~member(int,X4,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2425(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f44978])).
% 58.08/9.42 tff(f44978,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2425(X0,X3,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37798])).
% 58.08/9.42 tff(f37798,plain,(
% 58.08/9.42 ! [X0 : int,X3 : fun(int,$o),X1 : set(int)] : (? [X7 : int] : (($true != aa(int,$o,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & ($true = aa(int,$o,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~member(int,X9,X1)) | ~member(int,X8,set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ~sP2425(X0,X3,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2425])])).
% 58.08/9.42 tff(f103759,plain,(
% 58.08/9.42 spl5880_4310),
% 58.08/9.42 inference(avatar_split_clause,[],[f63091,f103757])).
% 58.08/9.42 tff(f103757,plain,(
% 58.08/9.42 spl5880_4310 <=> ! [X1 : $tType,X2 : fun(X1,nat),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5389(X1,X0,X2))) | ~sP2421(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4310])])).
% 58.08/9.42 tff(f63091,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : fun(X1,nat),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK5389(X1,X0,X2))) | ~sP2421(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44960])).
% 58.08/9.42 tff(f44960,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,nat)] : ((! [X4 : X1] : (($true = aa(X1,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,sK5389(X1,X0,X2))))) & ($true != aa(X1,$o,X0,sK5389(X1,X0,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,sK5389(X1,X0,X2))))) | ~sP2421(X1,X0,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5389])],[f44958,f44959])).
% 58.08/9.42 tff(f44959,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : fun(X1,nat)] : (? [X3 : X1] : (! [X4 : X1] : (($true = aa(X1,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,X3)))) & ($true != aa(X1,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,X3)))) => (! [X4 : X1] : (($true = aa(X1,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,sK5389(X1,X0,X2))))) & ($true != aa(X1,$o,X0,sK5389(X1,X0,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,sK5389(X1,X0,X2))))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44958,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,nat)] : (? [X3 : X1] : (! [X4 : X1] : (($true = aa(X1,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,X3)))) & ($true != aa(X1,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,X3)))) | ~sP2421(X1,X0,X2))),
% 58.08/9.42 inference(rectify,[],[f44957])).
% 58.08/9.42 tff(f44957,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : fun(X0,nat)] : (? [X5 : X0] : (! [X6 : X0] : (($true = aa(X0,$o,X2,X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X1,X6)),aa(X0,nat,X1,X5)))) & ($true != aa(X0,$o,X2,X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X0,nat,X1,X5)))) | ~sP2421(X0,X2,X1))),
% 58.08/9.42 inference(nnf_transformation,[],[f37792])).
% 58.08/9.42 tff(f37792,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : fun(X0,nat)] : (? [X5 : X0] : (! [X6 : X0] : (($true = aa(X0,$o,X2,X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(X0,nat,X1,X6)),aa(X0,nat,X1,X5)))) & ($true != aa(X0,$o,X2,X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),aa(X0,nat,X1,X5)))) | ~sP2421(X0,X2,X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2421])])).
% 58.08/9.42 tff(f103755,plain,(
% 58.08/9.42 spl5880_4309),
% 58.08/9.42 inference(avatar_split_clause,[],[f62873,f103753])).
% 58.08/9.42 tff(f103753,plain,(
% 58.08/9.42 spl5880_4309 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (~member(X0,sK5318(X0,X1,X2),sK5319(X0,X1,X2)) | ~sP2411(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4309])])).
% 58.08/9.42 tff(f62873,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (~member(X0,sK5318(X0,X1,X2),sK5319(X0,X1,X2)) | ~sP2411(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44815])).
% 58.08/9.42 tff(f103751,plain,(
% 58.08/9.42 spl5880_4308),
% 58.08/9.42 inference(avatar_split_clause,[],[f62866,f103749])).
% 58.08/9.42 tff(f103749,plain,(
% 58.08/9.42 spl5880_4308 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (~member(X0,sK5316(X0,X1,X2),sK5317(X0,X1,X2)) | ~sP2410(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4308])])).
% 58.08/9.42 tff(f62866,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (~member(X0,sK5316(X0,X1,X2),sK5317(X0,X1,X2)) | ~sP2410(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44811])).
% 58.08/9.42 tff(f103747,plain,(
% 58.08/9.42 spl5880_4307),
% 58.08/9.42 inference(avatar_split_clause,[],[f62618,f103745])).
% 58.08/9.42 tff(f103745,plain,(
% 58.08/9.42 spl5880_4307 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : none(nat) = vEBT_vebt_pred(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4307])])).
% 58.08/9.42 tff(f62618,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (none(nat) = vEBT_vebt_pred(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f26714])).
% 58.08/9.42 tff(f26714,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : none(nat) = vEBT_vebt_pred(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.42 inference(rectify,[],[f659])).
% 58.08/9.42 tff(f659,axiom,(
% 58.08/9.42 ! [X100 : nat,X101 : list(vEBT_VEBT),X77 : vEBT_VEBT,X114 : nat] : none(nat) = vEBT_vebt_pred(vEBT_Node(none(product_prod(nat,nat)),X100,X101,X77),X114)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_658_vebt__pred_Osimps_I4_J)).
% 58.08/9.42 tff(f103743,plain,(
% 58.08/9.42 spl5880_4306),
% 58.08/9.42 inference(avatar_split_clause,[],[f62617,f103741])).
% 58.08/9.42 tff(f103741,plain,(
% 58.08/9.42 spl5880_4306 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : none(nat) = vEBT_vebt_succ(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4306])])).
% 58.08/9.42 tff(f62617,plain,(
% 58.08/9.42 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (none(nat) = vEBT_vebt_succ(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f26713])).
% 58.08/9.42 tff(f26713,plain,(
% 58.08/9.42 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : none(nat) = vEBT_vebt_succ(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.42 inference(rectify,[],[f658])).
% 58.08/9.42 tff(f658,axiom,(
% 58.08/9.42 ! [X99 : nat,X100 : list(vEBT_VEBT),X101 : vEBT_VEBT,X77 : nat] : none(nat) = vEBT_vebt_succ(vEBT_Node(none(product_prod(nat,nat)),X99,X100,X101),X77)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_657_vebt__succ_Osimps_I3_J)).
% 58.08/9.42 tff(f103739,plain,(
% 58.08/9.42 spl5880_4305),
% 58.08/9.42 inference(avatar_split_clause,[],[f62364,f103737])).
% 58.08/9.42 tff(f103737,plain,(
% 58.08/9.42 spl5880_4305 <=> ! [X2 : nat,X0 : fun(real,$o),X1 : real] : (sP2404(X0,X1,X2) | ($true != aa(real,$o,X0,sK5290(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4305])])).
% 58.08/9.42 tff(f62364,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(real,$o),X1 : real] : (sP2404(X0,X1,X2) | ($true != aa(real,$o,X0,sK5290(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44637])).
% 58.08/9.42 tff(f44637,plain,(
% 58.08/9.42 ! [X0 : fun(real,$o),X1 : real,X2 : nat] : ((sP2404(X0,X1,X2) | ((($true != aa(real,$o,X0,sK5290(X0,X1,X2))) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),sK5290(X0,X1,X2))),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),sK5290(X0,X1,X2))),X2)) = X1) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)))) & (! [X4 : real] : (($true = aa(real,$o,X0,X4)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X4)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X4)),X2)) != X1) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)) | ~sP2404(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5290])],[f44635,f44636])).
% 58.08/9.42 tff(f44636,plain,(
% 58.08/9.42 ! [X0 : fun(real,$o),X1 : real,X2 : nat] : (? [X3 : real] : (($true != aa(real,$o,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X2)) = X1) => (($true != aa(real,$o,X0,sK5290(X0,X1,X2))) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),sK5290(X0,X1,X2))),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),sK5290(X0,X1,X2))),X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44635,plain,(
% 58.08/9.42 ! [X0 : fun(real,$o),X1 : real,X2 : nat] : ((sP2404(X0,X1,X2) | (? [X3 : real] : (($true != aa(real,$o,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X2)) = X1) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)))) & (! [X4 : real] : (($true = aa(real,$o,X0,X4)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X4)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X4)),X2)) != X1) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X2)) | ~sP2404(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44634])).
% 58.08/9.42 tff(f44634,plain,(
% 58.08/9.42 ! [X0 : fun(real,$o),X2 : real,X1 : nat] : ((sP2404(X0,X2,X1) | (? [X3 : real] : (($true != aa(real,$o,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)))) & (! [X3 : real] : (($true = aa(real,$o,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) | ~sP2404(X0,X2,X1)))),
% 58.08/9.42 inference(flattening,[],[f44633])).
% 58.08/9.42 tff(f44633,plain,(
% 58.08/9.42 ! [X0 : fun(real,$o),X2 : real,X1 : nat] : ((sP2404(X0,X2,X1) | (? [X3 : real] : (($true != aa(real,$o,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)))) & ((! [X3 : real] : (($true = aa(real,$o,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1))) | ~sP2404(X0,X2,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37761])).
% 58.08/9.42 tff(f103735,plain,(
% 58.08/9.42 spl5880_4304),
% 58.08/9.42 inference(avatar_split_clause,[],[f62360,f103733])).
% 58.08/9.42 tff(f103733,plain,(
% 58.08/9.42 spl5880_4304 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | ~sP2403(X0,X2,X1))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4304])])).
% 58.08/9.42 tff(f62360,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | ~sP2403(X0,X2,X1)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44632])).
% 58.08/9.42 tff(f44632,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | (~sP2403(X0,X2,X1) & (($true != aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2))) & (sP2403(X0,X2,X1) | (($true = aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2)))))),
% 58.08/9.42 inference(flattening,[],[f44631])).
% 58.08/9.42 tff(f44631,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | (~sP2403(X0,X2,X1) & (($true != aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2))) & ((sP2403(X0,X2,X1) | (($true = aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2)) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2)))))),
% 58.08/9.42 inference(nnf_transformation,[],[f37760])).
% 58.08/9.42 tff(f37760,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> (sP2403(X0,X2,X1) | (($true = aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2)))),
% 58.08/9.42 inference(definition_folding,[],[f18711,f37759])).
% 58.08/9.42 tff(f37759,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X2 : nat,X1 : nat] : (sP2403(X0,X2,X1) <=> ? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2403])])).
% 58.08/9.42 tff(f18711,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))) | (($true = aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2)))),
% 58.08/9.42 inference(fool_elimination,[],[f18710])).
% 58.08/9.42 tff(f18710,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (aa(nat,$o,X0,divide_divide(nat,X1,X2)) <=> (? [X3 : nat] : (aa(nat,$o,X0,X3) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1)) | (aa(nat,$o,X0,zero_zero(nat)) & zero_zero(nat) = X2)))),
% 58.08/9.42 inference(rectify,[],[f1499])).
% 58.08/9.42 tff(f1499,axiom,(
% 58.08/9.42 ! [X26 : fun(nat,$o),X15 : nat,X8 : nat] : (aa(nat,$o,X26,divide_divide(nat,X15,X8)) <=> (? [X187 : nat] : (aa(nat,$o,X26,X187) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,suc,X187))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X187)),X15)) | (aa(nat,$o,X26,zero_zero(nat)) & zero_zero(nat) = X8)))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1498_split__div_H)).
% 58.08/9.42 tff(f103730,plain,(
% 58.08/9.42 spl5880_4303),
% 58.08/9.42 inference(avatar_split_clause,[],[f62355,f103728])).
% 58.08/9.42 tff(f103728,plain,(
% 58.08/9.42 spl5880_4303 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK5289(X0,X1,X2))) | ~sP2403(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4303])])).
% 58.08/9.42 tff(f62355,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK5289(X0,X1,X2))) | ~sP2403(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44630])).
% 58.08/9.42 tff(f44630,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2403(X0,X1,X2) | ! [X3 : nat] : (($true != aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X3)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),X2)))) & ((($true = aa(nat,$o,X0,sK5289(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,sK5289(X0,X1,X2))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5289(X0,X1,X2))),X2))) | ~sP2403(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5289])],[f44628,f44629])).
% 58.08/9.42 tff(f44629,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (? [X4 : nat] : (($true = aa(nat,$o,X0,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X4)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2))) => (($true = aa(nat,$o,X0,sK5289(X0,X1,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,sK5289(X0,X1,X2))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK5289(X0,X1,X2))),X2))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44628,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2403(X0,X1,X2) | ! [X3 : nat] : (($true != aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X3)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),X2)))) & (? [X4 : nat] : (($true = aa(nat,$o,X0,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X4)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2))) | ~sP2403(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44627])).
% 58.08/9.42 tff(f44627,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X2 : nat,X1 : nat] : ((sP2403(X0,X2,X1) | ! [X3 : nat] : (($true != aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1)))) & (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))) | ~sP2403(X0,X2,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37759])).
% 58.08/9.42 tff(f103726,plain,(
% 58.08/9.42 spl5880_4302),
% 58.08/9.42 inference(avatar_split_clause,[],[f62350,f103724])).
% 58.08/9.42 tff(f103724,plain,(
% 58.08/9.42 spl5880_4302 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,X2) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4302])])).
% 58.08/9.42 tff(f62350,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,X2) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44626])).
% 58.08/9.42 tff(f44626,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | ~sP2402(X0,X1,X2) | (($true != aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2)) & ((sP2402(X0,X1,X2) & (($true = aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2)) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2)))))),
% 58.08/9.42 inference(flattening,[],[f44625])).
% 58.08/9.42 tff(f44625,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) | (~sP2402(X0,X1,X2) | (($true != aa(nat,$o,X0,zero_zero(nat))) & zero_zero(nat) = X2))) & ((sP2402(X0,X1,X2) & (($true = aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2)) | ($true != aa(nat,$o,X0,divide_divide(nat,X1,X2)))))),
% 58.08/9.42 inference(nnf_transformation,[],[f37758])).
% 58.08/9.42 tff(f37758,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> (sP2402(X0,X1,X2) & (($true = aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(definition_folding,[],[f35916,f37757])).
% 58.08/9.42 tff(f37757,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (sP2402(X0,X1,X2) <=> (! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2402])])).
% 58.08/9.42 tff(f35916,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (($true = aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(flattening,[],[f35915])).
% 58.08/9.42 tff(f35915,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : ((($true = aa(nat,$o,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) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (($true = aa(nat,$o,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(ennf_transformation,[],[f18709])).
% 58.08/9.42 tff(f18709,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,divide_divide(nat,X1,X2))) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => ($true = aa(nat,$o,X0,X3))))) & (zero_zero(nat) = X2 => ($true = aa(nat,$o,X0,zero_zero(nat))))))),
% 58.08/9.42 inference(fool_elimination,[],[f18708])).
% 58.08/9.42 tff(f18708,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (aa(nat,$o,X0,divide_divide(nat,X1,X2)) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => aa(nat,$o,X0,X3)))) & (zero_zero(nat) = X2 => aa(nat,$o,X0,zero_zero(nat)))))),
% 58.08/9.42 inference(rectify,[],[f1459])).
% 58.08/9.42 tff(f1459,axiom,(
% 58.08/9.42 ! [X26 : fun(nat,$o),X15 : nat,X8 : nat] : (aa(nat,$o,X26,divide_divide(nat,X15,X8)) <=> ((zero_zero(nat) != X8 => ! [X45 : nat,X164 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X164),X8) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X45)),X164) = X15 => aa(nat,$o,X26,X45)))) & (zero_zero(nat) = X8 => aa(nat,$o,X26,zero_zero(nat)))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1458_split__div)).
% 58.08/9.42 tff(f103722,plain,(
% 58.08/9.42 spl5880_4301),
% 58.08/9.42 inference(avatar_split_clause,[],[f62348,f103720])).
% 58.08/9.42 tff(f103720,plain,(
% 58.08/9.42 spl5880_4301 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,X2) | ($true != aa(nat,$o,X0,sK5287(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4301])])).
% 58.08/9.42 tff(f62348,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,X2) | ($true != aa(nat,$o,X0,sK5287(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44624])).
% 58.08/9.42 tff(f44624,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2402(X0,X1,X2) | ((($true != aa(nat,$o,X0,sK5287(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),sK5287(X0,X1,X2))),sK5288(X0,X1,X2)) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5288(X0,X1,X2)),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (($true = aa(nat,$o,X0,X5)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP2402(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5287,sK5288])],[f44622,f44623])).
% 58.08/9.42 tff(f44623,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) => (($true != aa(nat,$o,X0,sK5287(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),sK5287(X0,X1,X2))),sK5288(X0,X1,X2)) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5288(X0,X1,X2)),X2))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44622,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2402(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,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 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (($true = aa(nat,$o,X0,X5)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP2402(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44621])).
% 58.08/9.42 tff(f44621,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2402(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2 | ~sP2402(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44620])).
% 58.08/9.42 tff(f44620,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2402(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,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 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & ((! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) | ~sP2402(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37757])).
% 58.08/9.42 tff(f103718,plain,(
% 58.08/9.42 spl5880_4300),
% 58.08/9.42 inference(avatar_split_clause,[],[f62341,f103716])).
% 58.08/9.42 tff(f103716,plain,(
% 58.08/9.42 spl5880_4300 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,X2) | ($true != aa(nat,$o,X0,modulo_modulo(nat,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4300])])).
% 58.08/9.42 tff(f62341,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,X2) | ($true != aa(nat,$o,X0,modulo_modulo(nat,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44619])).
% 58.08/9.42 tff(f44619,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) | ~sP2401(X0,X1,X2) | (($true != aa(nat,$o,X0,X1)) & zero_zero(nat) = X2)) & ((sP2401(X0,X1,X2) & (($true = aa(nat,$o,X0,X1)) | zero_zero(nat) != X2)) | ($true != aa(nat,$o,X0,modulo_modulo(nat,X1,X2)))))),
% 58.08/9.42 inference(flattening,[],[f44618])).
% 58.08/9.42 tff(f44618,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) | (~sP2401(X0,X1,X2) | (($true != aa(nat,$o,X0,X1)) & zero_zero(nat) = X2))) & ((sP2401(X0,X1,X2) & (($true = aa(nat,$o,X0,X1)) | zero_zero(nat) != X2)) | ($true != aa(nat,$o,X0,modulo_modulo(nat,X1,X2)))))),
% 58.08/9.42 inference(nnf_transformation,[],[f37756])).
% 58.08/9.42 tff(f37756,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) <=> (sP2401(X0,X1,X2) & (($true = aa(nat,$o,X0,X1)) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(definition_folding,[],[f35914,f37755])).
% 58.08/9.42 tff(f37755,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (sP2401(X0,X1,X2) <=> (! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2401])])).
% 58.08/9.42 tff(f35914,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (($true = aa(nat,$o,X0,X1)) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(flattening,[],[f35913])).
% 58.08/9.42 tff(f35913,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : ((($true = aa(nat,$o,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) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (($true = aa(nat,$o,X0,X1)) | zero_zero(nat) != X2)))),
% 58.08/9.42 inference(ennf_transformation,[],[f18707])).
% 58.08/9.42 tff(f18707,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (($true = aa(nat,$o,X0,modulo_modulo(nat,X1,X2))) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => ($true = aa(nat,$o,X0,X4))))) & (zero_zero(nat) = X2 => ($true = aa(nat,$o,X0,X1)))))),
% 58.08/9.42 inference(fool_elimination,[],[f18706])).
% 58.08/9.42 tff(f18706,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (aa(nat,$o,X0,modulo_modulo(nat,X1,X2)) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => aa(nat,$o,X0,X4)))) & (zero_zero(nat) = X2 => aa(nat,$o,X0,X1))))),
% 58.08/9.42 inference(rectify,[],[f1462])).
% 58.08/9.42 tff(f1462,axiom,(
% 58.08/9.42 ! [X26 : fun(nat,$o),X15 : nat,X8 : nat] : (aa(nat,$o,X26,modulo_modulo(nat,X15,X8)) <=> ((zero_zero(nat) != X8 => ! [X45 : nat,X164 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X164),X8) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X45)),X164) = X15 => aa(nat,$o,X26,X164)))) & (zero_zero(nat) = X8 => aa(nat,$o,X26,X15))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1461_split__mod)).
% 58.08/9.42 tff(f103714,plain,(
% 58.08/9.42 spl5880_4299),
% 58.08/9.42 inference(avatar_split_clause,[],[f62339,f103712])).
% 58.08/9.42 tff(f103712,plain,(
% 58.08/9.42 spl5880_4299 <=> ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,X2) | ($true != aa(nat,$o,X0,sK5286(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4299])])).
% 58.08/9.42 tff(f62339,plain,(
% 58.08/9.42 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,X2) | ($true != aa(nat,$o,X0,sK5286(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44617])).
% 58.08/9.42 tff(f44617,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2401(X0,X1,X2) | ((($true != aa(nat,$o,X0,sK5286(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),sK5285(X0,X1,X2))),sK5286(X0,X1,X2)) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5286(X0,X1,X2)),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (($true = aa(nat,$o,X0,X6)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP2401(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5285,sK5286])],[f44615,f44616])).
% 58.08/9.42 tff(f44616,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) => (($true != aa(nat,$o,X0,sK5286(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),sK5285(X0,X1,X2))),sK5286(X0,X1,X2)) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5286(X0,X1,X2)),X2))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44615,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2401(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,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 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (($true = aa(nat,$o,X0,X6)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP2401(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44614])).
% 58.08/9.42 tff(f44614,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2401(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,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 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2 | ~sP2401(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44613])).
% 58.08/9.42 tff(f44613,plain,(
% 58.08/9.42 ! [X0 : fun(nat,$o),X1 : nat,X2 : nat] : ((sP2401(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (($true != aa(nat,$o,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 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & ((! [X3 : nat,X4 : nat] : (($true = aa(nat,$o,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) | ~sP2401(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37755])).
% 58.08/9.42 tff(f103710,plain,(
% 58.08/9.42 spl5880_4298),
% 58.08/9.42 inference(avatar_split_clause,[],[f62334,f103708])).
% 58.08/9.42 tff(f103708,plain,(
% 58.08/9.42 spl5880_4298 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) | ~sP2400(X2,X1,X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4298])])).
% 58.08/9.42 tff(f62334,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) | ~sP2400(X2,X1,X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44612])).
% 58.08/9.42 tff(f44612,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((($true = aa(int,$o,X0,divide_divide(int,X1,X2))) | ~sP2400(X2,X1,X0)) & (sP2400(X2,X1,X0) | ($true != aa(int,$o,X0,divide_divide(int,X1,X2)))))),
% 58.08/9.42 inference(nnf_transformation,[],[f37754])).
% 58.08/9.42 tff(f37754,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) <=> sP2400(X2,X1,X0))),
% 58.08/9.42 inference(definition_folding,[],[f35912,f37753,f37752,f37751])).
% 58.08/9.42 tff(f37751,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (sP2398(X0,X1,X2) <=> (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2398])])).
% 58.08/9.42 tff(f37752,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (sP2399(X0,X1,X2) <=> (! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2399])])).
% 58.08/9.42 tff(f35912,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) & (($true = aa(int,$o,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 58.08/9.42 inference(flattening,[],[f35911])).
% 58.08/9.42 tff(f35911,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X3)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) & (($true = aa(int,$o,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 58.08/9.42 inference(ennf_transformation,[],[f18705])).
% 58.08/9.42 tff(f18705,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,divide_divide(int,X1,X2))) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) => ($true = aa(int,$o,X0,X3)))) & (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) => ($true = aa(int,$o,X0,X5)))) & (zero_zero(int) = X2 => ($true = aa(int,$o,X0,zero_zero(int))))))),
% 58.08/9.42 inference(fool_elimination,[],[f18704])).
% 58.08/9.42 tff(f18704,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (aa(int,$o,X0,divide_divide(int,X1,X2)) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int)) & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4)) => aa(int,$o,X0,X3))) & (aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6)) => aa(int,$o,X0,X5))) & (zero_zero(int) = X2 => aa(int,$o,X0,zero_zero(int)))))),
% 58.08/9.42 inference(rectify,[],[f1648])).
% 58.08/9.42 tff(f1648,axiom,(
% 58.08/9.42 ! [X26 : fun(int,$o),X8 : int,X24 : int] : (aa(int,$o,X26,divide_divide(int,X8,X24)) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),zero_zero(int)) => ! [X45 : 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),X24),X45)),X164) = X8 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X164),zero_zero(int)) & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),X164)) => aa(int,$o,X26,X45))) & (aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X24) => ! [X45 : int,X164 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X24),X45)),X164) = X8 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X164),X24) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X164)) => aa(int,$o,X26,X45))) & (zero_zero(int) = X24 => aa(int,$o,X26,zero_zero(int)))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1647_split__zdiv)).
% 58.08/9.42 tff(f103706,plain,(
% 58.08/9.42 spl5880_4297),
% 58.08/9.42 inference(avatar_split_clause,[],[f62333,f103704])).
% 58.08/9.42 tff(f103704,plain,(
% 58.08/9.42 spl5880_4297 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2400(X2,X1,X0) | ($true != aa(int,$o,X0,divide_divide(int,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4297])])).
% 58.08/9.42 tff(f62333,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2400(X2,X1,X0) | ($true != aa(int,$o,X0,divide_divide(int,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44612])).
% 58.08/9.42 tff(f103702,plain,(
% 58.08/9.42 spl5880_4296),
% 58.08/9.42 inference(avatar_split_clause,[],[f62332,f103700])).
% 58.08/9.42 tff(f103700,plain,(
% 58.08/9.42 spl5880_4296 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2398(X0,X1,X2) | ($true != aa(int,$o,X0,sK5283(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4296])])).
% 58.08/9.42 tff(f62332,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2398(X0,X1,X2) | ($true != aa(int,$o,X0,sK5283(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44611])).
% 58.08/9.42 tff(f44611,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2398(X0,X1,X2) | ((($true != aa(int,$o,X0,sK5283(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5283(X0,X1,X2))),sK5284(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),sK5284(X0,X1,X2)),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),sK5284(X0,X1,X2)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2398(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5283,sK5284])],[f44609,f44610])).
% 58.08/9.42 tff(f44610,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X4))) => (($true != aa(int,$o,X0,sK5283(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5283(X0,X1,X2))),sK5284(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),sK5284(X0,X1,X2)),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),sK5284(X0,X1,X2)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44609,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2398(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2398(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44608])).
% 58.08/9.42 tff(f44608,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2398(X0,X1,X2) | (? [X5 : int,X6 : int] : (($true != aa(int,$o,X0,X5)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2398(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44607])).
% 58.08/9.42 tff(f44607,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2398(X0,X1,X2) | (? [X5 : int,X6 : int] : (($true != aa(int,$o,X0,X5)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & ((! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) | ~sP2398(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37751])).
% 58.08/9.42 tff(f103698,plain,(
% 58.08/9.42 spl5880_4295),
% 58.08/9.42 inference(avatar_split_clause,[],[f62326,f103696])).
% 58.08/9.42 tff(f103696,plain,(
% 58.08/9.42 spl5880_4295 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2399(X0,X1,X2) | ($true != aa(int,$o,X0,sK5281(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4295])])).
% 58.08/9.42 tff(f62326,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2399(X0,X1,X2) | ($true != aa(int,$o,X0,sK5281(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44606])).
% 58.08/9.42 tff(f44606,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2399(X0,X1,X2) | ((($true != aa(int,$o,X0,sK5281(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5281(X0,X1,X2))),sK5282(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK5282(X0,X1,X2)),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),sK5282(X0,X1,X2)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X6),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2399(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5281,sK5282])],[f44604,f44605])).
% 58.08/9.42 tff(f44605,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) => (($true != aa(int,$o,X0,sK5281(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5281(X0,X1,X2))),sK5282(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK5282(X0,X1,X2)),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),sK5282(X0,X1,X2)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44604,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2399(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X6),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2399(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44603])).
% 58.08/9.42 tff(f44603,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2399(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2399(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44602])).
% 58.08/9.42 tff(f44602,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2399(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) | ~sP2399(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37752])).
% 58.08/9.42 tff(f103694,plain,(
% 58.08/9.42 spl5880_4294),
% 58.08/9.42 inference(avatar_split_clause,[],[f62315,f103692])).
% 58.08/9.42 tff(f103692,plain,(
% 58.08/9.42 spl5880_4294 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) | ~sP2397(X2,X1,X0))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4294])])).
% 58.08/9.42 tff(f62315,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) | ~sP2397(X2,X1,X0)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44598])).
% 58.08/9.42 tff(f44598,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) | ~sP2397(X2,X1,X0)) & (sP2397(X2,X1,X0) | ($true != aa(int,$o,X0,modulo_modulo(int,X1,X2)))))),
% 58.08/9.42 inference(nnf_transformation,[],[f37750])).
% 58.08/9.42 tff(f37750,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) <=> sP2397(X2,X1,X0))),
% 58.08/9.42 inference(definition_folding,[],[f35910,f37749,f37748,f37747])).
% 58.08/9.42 tff(f37747,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (sP2395(X0,X1,X2) <=> (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2395])])).
% 58.08/9.42 tff(f37748,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (sP2396(X0,X1,X2) <=> (! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2396])])).
% 58.08/9.42 tff(f35910,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) & (($true = aa(int,$o,X0,X1)) | zero_zero(int) != X2)))),
% 58.08/9.42 inference(flattening,[],[f35909])).
% 58.08/9.42 tff(f35909,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X4)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) & (($true = aa(int,$o,X0,X1)) | zero_zero(int) != X2)))),
% 58.08/9.42 inference(ennf_transformation,[],[f18703])).
% 58.08/9.42 tff(f18703,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (($true = aa(int,$o,X0,modulo_modulo(int,X1,X2))) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) => ($true = aa(int,$o,X0,X4)))) & (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) => ($true = aa(int,$o,X0,X6)))) & (zero_zero(int) = X2 => ($true = aa(int,$o,X0,X1)))))),
% 58.08/9.42 inference(fool_elimination,[],[f18702])).
% 58.08/9.42 tff(f18702,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (aa(int,$o,X0,modulo_modulo(int,X1,X2)) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int)) & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4)) => aa(int,$o,X0,X4))) & (aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6)) => aa(int,$o,X0,X6))) & (zero_zero(int) = X2 => aa(int,$o,X0,X1))))),
% 58.08/9.42 inference(rectify,[],[f1651])).
% 58.08/9.42 tff(f1651,axiom,(
% 58.08/9.42 ! [X26 : fun(int,$o),X8 : int,X24 : int] : (aa(int,$o,X26,modulo_modulo(int,X8,X24)) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),zero_zero(int)) => ! [X45 : int,X164 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X24),X45)),X164) = X8 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X164),zero_zero(int)) & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),X164)) => aa(int,$o,X26,X164))) & (aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X24) => ! [X45 : 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),X24),X45)),X164) = X8 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),X164),X24) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X164)) => aa(int,$o,X26,X164))) & (zero_zero(int) = X24 => aa(int,$o,X26,X8))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1650_split__zmod)).
% 58.08/9.42 tff(f103689,plain,(
% 58.08/9.42 spl5880_4293),
% 58.08/9.42 inference(avatar_split_clause,[],[f62314,f103687])).
% 58.08/9.42 tff(f103687,plain,(
% 58.08/9.42 spl5880_4293 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2397(X2,X1,X0) | ($true != aa(int,$o,X0,modulo_modulo(int,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4293])])).
% 58.08/9.42 tff(f62314,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2397(X2,X1,X0) | ($true != aa(int,$o,X0,modulo_modulo(int,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44598])).
% 58.08/9.42 tff(f103685,plain,(
% 58.08/9.42 spl5880_4292),
% 58.08/9.42 inference(avatar_split_clause,[],[f62313,f103683])).
% 58.08/9.42 tff(f103683,plain,(
% 58.08/9.42 spl5880_4292 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2395(X0,X1,X2) | ($true != aa(int,$o,X0,sK5280(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4292])])).
% 58.08/9.42 tff(f62313,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2395(X0,X1,X2) | ($true != aa(int,$o,X0,sK5280(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44597])).
% 58.08/9.42 tff(f44597,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2395(X0,X1,X2) | ((($true != aa(int,$o,X0,sK5280(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5279(X0,X1,X2))),sK5280(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),sK5280(X0,X1,X2)),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),sK5280(X0,X1,X2)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2395(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5279,sK5280])],[f44595,f44596])).
% 58.08/9.42 tff(f44596,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X4))) => (($true != aa(int,$o,X0,sK5280(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5279(X0,X1,X2))),sK5280(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),sK5280(X0,X1,X2)),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),sK5280(X0,X1,X2)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44595,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2395(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2395(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44594])).
% 58.08/9.42 tff(f44594,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2395(X0,X1,X2) | (? [X5 : int,X6 : int] : (($true != aa(int,$o,X0,X6)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)) | ~sP2395(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44593])).
% 58.08/9.42 tff(f44593,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2395(X0,X1,X2) | (? [X5 : int,X6 : int] : (($true != aa(int,$o,X0,X6)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2)))) & ((! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X6),X2)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X2))) | ~sP2395(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37747])).
% 58.08/9.42 tff(f103681,plain,(
% 58.08/9.42 spl5880_4291),
% 58.08/9.42 inference(avatar_split_clause,[],[f62307,f103679])).
% 58.08/9.42 tff(f103679,plain,(
% 58.08/9.42 spl5880_4291 <=> ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2396(X0,X1,X2) | ($true != aa(int,$o,X0,sK5278(X0,X1,X2))))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4291])])).
% 58.08/9.42 tff(f62307,plain,(
% 58.08/9.42 ( ! [X2 : int,X0 : fun(int,$o),X1 : int] : (sP2396(X0,X1,X2) | ($true != aa(int,$o,X0,sK5278(X0,X1,X2)))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44592])).
% 58.08/9.42 tff(f44592,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2396(X0,X1,X2) | ((($true != aa(int,$o,X0,sK5278(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5277(X0,X1,X2))),sK5278(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK5278(X0,X1,X2)),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),sK5278(X0,X1,X2)))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X6),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2396(X0,X1,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5277,sK5278])],[f44590,f44591])).
% 58.08/9.42 tff(f44591,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) => (($true != aa(int,$o,X0,sK5278(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK5277(X0,X1,X2))),sK5278(X0,X1,X2)) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK5278(X0,X1,X2)),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),sK5278(X0,X1,X2)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44590,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2396(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (($true = aa(int,$o,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X6),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X6))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2396(X0,X1,X2)))),
% 58.08/9.42 inference(rectify,[],[f44589])).
% 58.08/9.42 tff(f44589,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2396(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & (! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) | ~sP2396(X0,X1,X2)))),
% 58.08/9.42 inference(flattening,[],[f44588])).
% 58.08/9.42 tff(f44588,plain,(
% 58.08/9.42 ! [X0 : fun(int,$o),X1 : int,X2 : int] : ((sP2396(X0,X1,X2) | (? [X3 : int,X4 : int] : (($true != aa(int,$o,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))) & ((! [X3 : int,X4 : int] : (($true = aa(int,$o,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X4),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),X4))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) | ~sP2396(X0,X1,X2)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37748])).
% 58.08/9.42 tff(f103677,plain,(
% 58.08/9.42 spl5880_4290),
% 58.08/9.42 inference(avatar_split_clause,[],[f62293,f103675])).
% 58.08/9.42 tff(f103675,plain,(
% 58.08/9.42 spl5880_4290 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5276(X1,X0,X2))) | ~sP2393(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4290])])).
% 58.08/9.42 tff(f62293,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5276(X1,X0,X2))) | ~sP2393(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44583])).
% 58.08/9.42 tff(f103673,plain,(
% 58.08/9.42 spl5880_4289),
% 58.08/9.42 inference(avatar_split_clause,[],[f62288,f103671])).
% 58.08/9.42 tff(f103671,plain,(
% 58.08/9.42 spl5880_4289 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5274(X1,X0,X2))) | ~sP2394(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4289])])).
% 58.08/9.42 tff(f62288,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5274(X1,X0,X2))) | ~sP2394(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44579])).
% 58.08/9.42 tff(f44579,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2394(X1,X0,X2) | ! [X3 : list(X1),X4 : X1,X5 : list(X1)] : ((($true = aa(X1,$o,X0,sK5272(X1,X0,X5))) & member(X1,sK5272(X1,X0,X5),aa(list(X1),set(X1),set2(X1),X5))) | ($true != aa(X1,$o,X0,X4)) | append(X1,X3,aa(list(X1),list(X1),cons(X1,X4),X5)) != X2)) & ((! [X10 : X1] : (($true != aa(X1,$o,X0,X10)) | ~member(X1,X10,aa(list(X1),set(X1),set2(X1),sK5275(X1,X0,X2)))) & ($true = aa(X1,$o,X0,sK5274(X1,X0,X2))) & append(X1,sK5273(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5274(X1,X0,X2)),sK5275(X1,X0,X2))) = X2) | ~sP2394(X1,X0,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5272,sK5273,sK5274,sK5275])],[f44576,f44578,f44577])).
% 58.08/9.42 tff(f44577,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X5 : list(X1)] : (? [X6 : X1] : (($true = aa(X1,$o,X0,X6)) & member(X1,X6,aa(list(X1),set(X1),set2(X1),X5))) => (($true = aa(X1,$o,X0,sK5272(X1,X0,X5))) & member(X1,sK5272(X1,X0,X5),aa(list(X1),set(X1),set2(X1),X5))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44578,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X7 : list(X1),X8 : X1,X9 : list(X1)] : (! [X10 : X1] : (($true != aa(X1,$o,X0,X10)) | ~member(X1,X10,aa(list(X1),set(X1),set2(X1),X9))) & ($true = aa(X1,$o,X0,X8)) & append(X1,X7,aa(list(X1),list(X1),cons(X1,X8),X9)) = X2) => (! [X10 : X1] : (($true != aa(X1,$o,X0,X10)) | ~member(X1,X10,aa(list(X1),set(X1),set2(X1),sK5275(X1,X0,X2)))) & ($true = aa(X1,$o,X0,sK5274(X1,X0,X2))) & append(X1,sK5273(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5274(X1,X0,X2)),sK5275(X1,X0,X2))) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44576,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2394(X1,X0,X2) | ! [X3 : list(X1),X4 : X1,X5 : list(X1)] : (? [X6 : X1] : (($true = aa(X1,$o,X0,X6)) & member(X1,X6,aa(list(X1),set(X1),set2(X1),X5))) | ($true != aa(X1,$o,X0,X4)) | append(X1,X3,aa(list(X1),list(X1),cons(X1,X4),X5)) != X2)) & (? [X7 : list(X1),X8 : X1,X9 : list(X1)] : (! [X10 : X1] : (($true != aa(X1,$o,X0,X10)) | ~member(X1,X10,aa(list(X1),set(X1),set2(X1),X9))) & ($true = aa(X1,$o,X0,X8)) & append(X1,X7,aa(list(X1),list(X1),cons(X1,X8),X9)) = X2) | ~sP2394(X1,X0,X2)))),
% 58.08/9.42 inference(rectify,[],[f44575])).
% 58.08/9.42 tff(f44575,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : ((sP2394(X0,X2,X1) | ! [X4 : list(X0),X5 : X0,X6 : list(X0)] : (? [X7 : X0] : (($true = aa(X0,$o,X2,X7)) & member(X0,X7,aa(list(X0),set(X0),set2(X0),X6))) | ($true != aa(X0,$o,X2,X5)) | append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) != X1)) & (? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (($true != aa(X0,$o,X2,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X6))) & ($true = aa(X0,$o,X2,X5)) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1) | ~sP2394(X0,X2,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37745])).
% 58.08/9.42 tff(f37745,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : (sP2394(X0,X2,X1) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (($true != aa(X0,$o,X2,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X6))) & ($true = aa(X0,$o,X2,X5)) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2394])])).
% 58.08/9.42 tff(f103669,plain,(
% 58.08/9.42 spl5880_4288),
% 58.08/9.42 inference(avatar_split_clause,[],[f62283,f103667])).
% 58.08/9.42 tff(f103667,plain,(
% 58.08/9.42 spl5880_4288 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5271(X1,X0,X2))) | ~sP2391(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4288])])).
% 58.08/9.42 tff(f62283,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5271(X1,X0,X2))) | ~sP2391(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44573])).
% 58.08/9.42 tff(f103665,plain,(
% 58.08/9.42 spl5880_4287),
% 58.08/9.42 inference(avatar_split_clause,[],[f62278,f103663])).
% 58.08/9.42 tff(f103663,plain,(
% 58.08/9.42 spl5880_4287 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5269(X1,X0,X2))) | ~sP2392(X1,X0,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4287])])).
% 58.08/9.42 tff(f62278,plain,(
% 58.08/9.42 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X0,sK5269(X1,X0,X2))) | ~sP2392(X1,X0,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44569])).
% 58.08/9.42 tff(f44569,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2392(X1,X0,X2) | ! [X3 : list(X1),X4 : X1] : ((($true = aa(X1,$o,X0,sK5267(X1,X0,X3))) & member(X1,sK5267(X1,X0,X3),aa(list(X1),set(X1),set2(X1),X3))) | ($true != aa(X1,$o,X0,X4)) | ! [X6 : list(X1)] : append(X1,X3,aa(list(X1),list(X1),cons(X1,X4),X6)) != X2)) & ((! [X9 : X1] : (($true != aa(X1,$o,X0,X9)) | ~member(X1,X9,aa(list(X1),set(X1),set2(X1),sK5268(X1,X0,X2)))) & ($true = aa(X1,$o,X0,sK5269(X1,X0,X2))) & append(X1,sK5268(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5269(X1,X0,X2)),sK5270(X1,X0,X2))) = X2) | ~sP2392(X1,X0,X2)))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5267,sK5268,sK5269,sK5270])],[f44565,f44568,f44567,f44566])).
% 58.08/9.42 tff(f44566,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X3 : list(X1)] : (? [X5 : X1] : (($true = aa(X1,$o,X0,X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X3))) => (($true = aa(X1,$o,X0,sK5267(X1,X0,X3))) & member(X1,sK5267(X1,X0,X3),aa(list(X1),set(X1),set2(X1),X3))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44567,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X7 : list(X1),X8 : X1] : (! [X9 : X1] : (($true != aa(X1,$o,X0,X9)) | ~member(X1,X9,aa(list(X1),set(X1),set2(X1),X7))) & ($true = aa(X1,$o,X0,X8)) & ? [X10 : list(X1)] : append(X1,X7,aa(list(X1),list(X1),cons(X1,X8),X10)) = X2) => (! [X9 : X1] : (($true != aa(X1,$o,X0,X9)) | ~member(X1,X9,aa(list(X1),set(X1),set2(X1),sK5268(X1,X0,X2)))) & ($true = aa(X1,$o,X0,sK5269(X1,X0,X2))) & ? [X10 : list(X1)] : append(X1,sK5268(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5269(X1,X0,X2)),X10)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44568,plain,(
% 58.08/9.42 ! [X1 : $tType,X0 : fun(X1,$o),X2 : list(X1)] : (? [X10 : list(X1)] : append(X1,sK5268(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5269(X1,X0,X2)),X10)) = X2 => append(X1,sK5268(X1,X0,X2),aa(list(X1),list(X1),cons(X1,sK5269(X1,X0,X2)),sK5270(X1,X0,X2))) = X2)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f44565,plain,(
% 58.08/9.42 ! [X0 : fun(X1,$o),X1 : $tType,X2 : list(X1)] : ((sP2392(X1,X0,X2) | ! [X3 : list(X1),X4 : X1] : (? [X5 : X1] : (($true = aa(X1,$o,X0,X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X3))) | ($true != aa(X1,$o,X0,X4)) | ! [X6 : list(X1)] : append(X1,X3,aa(list(X1),list(X1),cons(X1,X4),X6)) != X2)) & (? [X7 : list(X1),X8 : X1] : (! [X9 : X1] : (($true != aa(X1,$o,X0,X9)) | ~member(X1,X9,aa(list(X1),set(X1),set2(X1),X7))) & ($true = aa(X1,$o,X0,X8)) & ? [X10 : list(X1)] : append(X1,X7,aa(list(X1),list(X1),cons(X1,X8),X10)) = X2) | ~sP2392(X1,X0,X2)))),
% 58.08/9.42 inference(rectify,[],[f44564])).
% 58.08/9.42 tff(f44564,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : ((sP2392(X0,X2,X1) | ! [X4 : list(X0),X5 : X0] : (? [X6 : X0] : (($true = aa(X0,$o,X2,X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X4))) | ($true != aa(X0,$o,X2,X5)) | ! [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) != X1)) & (? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (($true != aa(X0,$o,X2,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X4))) & ($true = aa(X0,$o,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1) | ~sP2392(X0,X2,X1)))),
% 58.08/9.42 inference(nnf_transformation,[],[f37742])).
% 58.08/9.42 tff(f37742,plain,(
% 58.08/9.42 ! [X2 : fun(X0,$o),X0 : $tType,X1 : list(X0)] : (sP2392(X0,X2,X1) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (($true != aa(X0,$o,X2,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X4))) & ($true = aa(X0,$o,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2392])])).
% 58.08/9.42 tff(f103661,plain,(
% 58.08/9.42 spl5880_4286),
% 58.08/9.42 inference(avatar_split_clause,[],[f62170,f103659])).
% 58.08/9.42 tff(f103659,plain,(
% 58.08/9.42 spl5880_4286 <=> ! [X0 : $tType,X2 : set(X0),X1 : nat] : (~member(X0,sK5248(X0,X1,X2),sK5249(X0,X1,X2)) | ~sP2388(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4286])])).
% 58.08/9.42 tff(f62170,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : set(X0),X1 : nat] : (~member(X0,sK5248(X0,X1,X2),sK5249(X0,X1,X2)) | ~sP2388(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44480])).
% 58.08/9.42 tff(f103657,plain,(
% 58.08/9.42 spl5880_4285),
% 58.08/9.42 inference(avatar_split_clause,[],[f62145,f103655])).
% 58.08/9.42 tff(f103655,plain,(
% 58.08/9.42 spl5880_4285 <=> ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,X2) | ~distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2)))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4285])])).
% 58.08/9.42 tff(f62145,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,X2) | ~distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2))) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44453])).
% 58.08/9.42 tff(f44453,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2)) | ~distinct(X0,X2) | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))) & ((distinct(X0,X2) & ~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))) | ~distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2))))),
% 58.08/9.42 inference(flattening,[],[f44452])).
% 58.08/9.42 tff(f44452,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2)) | (~distinct(X0,X2) | member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)))) & ((distinct(X0,X2) & ~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))) | ~distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2))))),
% 58.08/9.42 inference(nnf_transformation,[],[f26660])).
% 58.08/9.42 tff(f26660,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (distinct(X0,aa(list(X0),list(X0),cons(X0,X1),X2)) <=> (distinct(X0,X2) & ~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))))),
% 58.08/9.42 inference(rectify,[],[f6807])).
% 58.08/9.42 tff(f6807,axiom,(
% 58.08/9.42 ! [X0 : $tType,X9 : X0,X64 : list(X0)] : (distinct(X0,aa(list(X0),list(X0),cons(X0,X9),X64)) <=> (distinct(X0,X64) & ~member(X0,X9,aa(list(X0),set(X0),set2(X0),X64))))),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6806_distinct_Osimps_I2_J)).
% 58.08/9.42 tff(f103653,plain,(
% 58.08/9.42 spl5880_4284),
% 58.08/9.42 inference(avatar_split_clause,[],[f61558,f103651])).
% 58.08/9.42 tff(f103651,plain,(
% 58.08/9.42 spl5880_4284 <=> ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (nths(X0,X1,X2) = X1 | ~member(nat,sK5068(X0,X1,X2),X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4284])])).
% 58.08/9.42 tff(f61558,plain,(
% 58.08/9.42 ( ! [X0 : $tType,X2 : set(nat),X1 : list(X0)] : (nths(X0,X1,X2) = X1 | ~member(nat,sK5068(X0,X1,X2),X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f44088])).
% 58.08/9.42 tff(f44088,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (nths(X0,X1,X2) = X1 | (~member(nat,sK5068(X0,X1,X2),X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5068(X0,X1,X2)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5068])],[f35440,f44087])).
% 58.08/9.42 tff(f44087,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (? [X3 : nat] : (~member(nat,X3,X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) => (~member(nat,sK5068(X0,X1,X2),X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5068(X0,X1,X2)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f35440,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (nths(X0,X1,X2) = X1 | ? [X3 : nat] : (~member(nat,X3,X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.08/9.42 inference(ennf_transformation,[],[f18075])).
% 58.08/9.42 tff(f18075,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => member(nat,X3,X2)) => nths(X0,X1,X2) = X1)),
% 58.08/9.42 inference(fool_elimination,[],[f18074])).
% 58.08/9.42 tff(f18074,plain,(
% 58.08/9.42 ! [X0 : $tType,X1 : list(X0),X2 : set(nat)] : (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)) => member(nat,X3,X2)) => nths(X0,X1,X2) = X1)),
% 58.08/9.42 inference(rectify,[],[f7677])).
% 58.08/9.42 tff(f7677,axiom,(
% 58.08/9.42 ! [X0 : $tType,X64 : list(X0),X224 : set(nat)] : (! [X41 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X41),aa(list(X0),nat,size_size(list(X0)),X64)) => member(nat,X41,X224)) => nths(X0,X64,X224) = X64)),
% 58.08/9.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7676_nths__all)).
% 58.08/9.42 tff(f103643,plain,(
% 58.08/9.42 spl5880_4283),
% 58.08/9.42 inference(avatar_split_clause,[],[f61459,f103641])).
% 58.08/9.42 tff(f103641,plain,(
% 58.08/9.42 spl5880_4283 <=> ! [X3 : nat,X4 : nat,X0 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (($true = X5) | ~iG1503(X2,X1,X0) | ~sP2346(X0,X1,X2,X3,X4,X5))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4283])])).
% 58.08/9.42 tff(f61459,plain,(
% 58.08/9.42 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | ~iG1503(X2,X1,X0) | ~sP2346(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43980])).
% 58.08/9.42 tff(f103639,plain,(
% 58.08/9.42 spl5880_4282),
% 58.08/9.42 inference(avatar_split_clause,[],[f61435,f103637])).
% 58.08/9.42 tff(f103637,plain,(
% 58.08/9.42 spl5880_4282 <=> ! [X3 : nat,X4 : nat,X0 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (~iG1495(X2,X1,X0) | ($true = X5) | ~sP2340(X0,X1,X2,X3,X4,X5))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4282])])).
% 58.08/9.42 tff(f61435,plain,(
% 58.08/9.42 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (~iG1495(X2,X1,X0) | ($true = X5) | ~sP2340(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43952])).
% 58.08/9.42 tff(f103635,plain,(
% 58.08/9.42 spl5880_4281),
% 58.08/9.42 inference(avatar_split_clause,[],[f61363,f103633])).
% 58.08/9.42 tff(f103633,plain,(
% 58.08/9.42 spl5880_4281 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,X1,X0))) | ~sP2325(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4281])])).
% 58.08/9.42 tff(f61363,plain,(
% 58.08/9.42 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true != aa(int,$o,X2,gcd_gcd(int,X1,X0))) | ~sP2325(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43870])).
% 58.08/9.42 tff(f43870,plain,(
% 58.08/9.42 ! [X0 : int,X1 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X1,X0))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | ~sP2325(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43869])).
% 58.08/9.42 tff(f43869,plain,(
% 58.08/9.42 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X0,X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2325(X1,X0,X2))),
% 58.08/9.42 inference(nnf_transformation,[],[f37642])).
% 58.08/9.42 tff(f37642,plain,(
% 58.08/9.42 ! [X1 : int,X0 : int,X2 : fun(int,$o)] : ((($true != aa(int,$o,X2,gcd_gcd(int,X0,X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | ~sP2325(X1,X0,X2))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2325])])).
% 58.08/9.42 tff(f103631,plain,(
% 58.08/9.42 spl5880_4280),
% 58.08/9.42 inference(avatar_split_clause,[],[f61287,f103629])).
% 58.08/9.42 tff(f103629,plain,(
% 58.08/9.42 spl5880_4280 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2317(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4280])])).
% 58.08/9.42 tff(f61287,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2317(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43842])).
% 58.08/9.42 tff(f43842,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & one2 = X2) | ~sP2317(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43841])).
% 58.08/9.42 tff(f43841,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP2317(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37633])).
% 58.08/9.42 tff(f37633,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP2317(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2317])])).
% 58.08/9.42 tff(f103627,plain,(
% 58.08/9.42 spl5880_4279),
% 58.08/9.42 inference(avatar_split_clause,[],[f61279,f103625])).
% 58.08/9.42 tff(f103625,plain,(
% 58.08/9.42 spl5880_4279 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2319(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4279])])).
% 58.08/9.42 tff(f61279,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2319(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43836])).
% 58.08/9.42 tff(f43836,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4930(X0,X1))))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK4930(X0,X1)) = X1) & one2 = X2) | ~sP2319(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4930])],[f43834,f43835])).
% 58.08/9.42 tff(f43835,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4930(X0,X1))))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK4930(X0,X1)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43834,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP2319(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43833])).
% 58.08/9.42 tff(f43833,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2319(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37635])).
% 58.08/9.42 tff(f37635,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2319(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2319])])).
% 58.08/9.42 tff(f103623,plain,(
% 58.08/9.42 spl5880_4278),
% 58.08/9.42 inference(avatar_split_clause,[],[f61273,f103621])).
% 58.08/9.42 tff(f103621,plain,(
% 58.08/9.42 spl5880_4278 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4929(X0,X1,X2)) = X2 | ~sP2320(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4278])])).
% 58.08/9.42 tff(f61273,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4929(X0,X1,X2)) = X2 | ~sP2320(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43832])).
% 58.08/9.42 tff(f43832,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4929(X0,X1,X2))),one2))) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK4929(X0,X1,X2)) = X2) | ~sP2320(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4929])],[f43830,f43831])).
% 58.08/9.42 tff(f43831,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4929(X0,X1,X2))),one2))) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK4929(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43830,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP2320(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43829])).
% 58.08/9.42 tff(f43829,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & none(num) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2320(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37636])).
% 58.08/9.42 tff(f37636,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & none(num) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2320(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2320])])).
% 58.08/9.42 tff(f103619,plain,(
% 58.08/9.42 spl5880_4277),
% 58.08/9.42 inference(avatar_split_clause,[],[f61270,f103617])).
% 58.08/9.42 tff(f103617,plain,(
% 58.08/9.42 spl5880_4277 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4928(X0,X1,X2)) = X1 | ~sP2321(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4277])])).
% 58.08/9.42 tff(f61270,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4928(X0,X1,X2)) = X1 | ~sP2321(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43828])).
% 58.08/9.42 tff(f43828,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4927(X0,X1,X2))),aa(num,num,bit0,sK4928(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4927(X0,X1,X2)),sK4928(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4928(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4927(X0,X1,X2)) = X2) | ~sP2321(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4927,sK4928])],[f43825,f43827,f43826])).
% 58.08/9.42 tff(f43826,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4927(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4927(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4927(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43827,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4927(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4927(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4927(X0,X1,X2))),aa(num,num,bit0,sK4928(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4927(X0,X1,X2)),sK4928(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4928(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43825,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2321(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43824])).
% 58.08/9.42 tff(f43824,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2321(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37637])).
% 58.08/9.42 tff(f37637,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2321(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2321])])).
% 58.08/9.42 tff(f103615,plain,(
% 58.08/9.42 spl5880_4276),
% 58.08/9.42 inference(avatar_split_clause,[],[f61269,f103613])).
% 58.08/9.42 tff(f103613,plain,(
% 58.08/9.42 spl5880_4276 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4927(X0,X1,X2)) = X2 | ~sP2321(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4276])])).
% 58.08/9.42 tff(f61269,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4927(X0,X1,X2)) = X2 | ~sP2321(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43828])).
% 58.08/9.42 tff(f103611,plain,(
% 58.08/9.42 spl5880_4275),
% 58.08/9.42 inference(avatar_split_clause,[],[f61266,f103609])).
% 58.08/9.42 tff(f103609,plain,(
% 58.08/9.42 spl5880_4275 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4926(X0,X1,X2)) = X1 | ~sP2322(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4275])])).
% 58.08/9.42 tff(f61266,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4926(X0,X1,X2)) = X1 | ~sP2322(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43823])).
% 58.08/9.42 tff(f43823,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4925(X0,X1,X2))),aa(num,num,bit1,sK4926(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4925(X0,X1,X2)),sK4926(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4926(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4925(X0,X1,X2)) = X2) | ~sP2322(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4925,sK4926])],[f43820,f43822,f43821])).
% 58.08/9.42 tff(f43821,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4925(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4925(X0,X1,X2)),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4925(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43822,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4925(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4925(X0,X1,X2)),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4925(X0,X1,X2))),aa(num,num,bit1,sK4926(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4925(X0,X1,X2)),sK4926(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4926(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43820,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2322(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43819])).
% 58.08/9.42 tff(f43819,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X8),X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2322(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37638])).
% 58.08/9.42 tff(f37638,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X8),X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2322(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2322])])).
% 58.08/9.42 tff(f103607,plain,(
% 58.08/9.42 spl5880_4274),
% 58.08/9.42 inference(avatar_split_clause,[],[f61265,f103605])).
% 58.08/9.42 tff(f103605,plain,(
% 58.08/9.42 spl5880_4274 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4925(X0,X1,X2)) = X2 | ~sP2322(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4274])])).
% 58.08/9.42 tff(f61265,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4925(X0,X1,X2)) = X2 | ~sP2322(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43823])).
% 58.08/9.42 tff(f103601,plain,(
% 58.08/9.42 spl5880_4273),
% 58.08/9.42 inference(avatar_split_clause,[],[f61263,f103599])).
% 58.08/9.42 tff(f103599,plain,(
% 58.08/9.42 spl5880_4273 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2323(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4273])])).
% 58.08/9.42 tff(f61263,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2323(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43818])).
% 58.08/9.42 tff(f43818,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4924(X0,X1,X2))),one2))) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK4924(X0,X1,X2)) = X2) | ~sP2323(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4924])],[f43816,f43817])).
% 58.08/9.42 tff(f43817,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4924(X0,X1,X2))),one2))) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK4924(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43816,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP2323(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43815])).
% 58.08/9.42 tff(f43815,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2))) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP2323(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37639])).
% 58.08/9.42 tff(f37639,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2))) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP2323(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2323])])).
% 58.08/9.42 tff(f103597,plain,(
% 58.08/9.42 spl5880_4272),
% 58.08/9.42 inference(avatar_split_clause,[],[f61261,f103595])).
% 58.08/9.42 tff(f103595,plain,(
% 58.08/9.42 spl5880_4272 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4924(X0,X1,X2)) = X2 | ~sP2323(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4272])])).
% 58.08/9.42 tff(f61261,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4924(X0,X1,X2)) = X2 | ~sP2323(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43818])).
% 58.08/9.42 tff(f103593,plain,(
% 58.08/9.42 spl5880_4271),
% 58.08/9.42 inference(avatar_split_clause,[],[f61258,f103591])).
% 58.08/9.42 tff(f103591,plain,(
% 58.08/9.42 spl5880_4271 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4923(X0,X1,X2)) = X1 | ~sP2324(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4271])])).
% 58.08/9.42 tff(f61258,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4923(X0,X1,X2)) = X1 | ~sP2324(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43814])).
% 58.08/9.42 tff(f43814,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4922(X0,X1,X2))),aa(num,num,bit0,sK4923(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4922(X0,X1,X2)),sK4923(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4923(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4922(X0,X1,X2)) = X2) | ~sP2324(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4922,sK4923])],[f43811,f43813,f43812])).
% 58.08/9.42 tff(f43812,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4922(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4922(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4922(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43813,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4922(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4922(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4922(X0,X1,X2))),aa(num,num,bit0,sK4923(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4922(X0,X1,X2)),sK4923(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4923(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43811,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2324(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43810])).
% 58.08/9.42 tff(f43810,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X11)),aa(num,num,bit0,X12)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X11),X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2324(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37640])).
% 58.08/9.42 tff(f37640,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X11)),aa(num,num,bit0,X12)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X11),X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2324(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2324])])).
% 58.08/9.42 tff(f103589,plain,(
% 58.08/9.42 spl5880_4270),
% 58.08/9.42 inference(avatar_split_clause,[],[f61257,f103587])).
% 58.08/9.42 tff(f103587,plain,(
% 58.08/9.42 spl5880_4270 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4922(X0,X1,X2)) = X2 | ~sP2324(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4270])])).
% 58.08/9.42 tff(f61257,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4922(X0,X1,X2)) = X2 | ~sP2324(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43814])).
% 58.08/9.42 tff(f103585,plain,(
% 58.08/9.42 spl5880_4269),
% 58.08/9.42 inference(avatar_split_clause,[],[f61237,f103583])).
% 58.08/9.42 tff(f103583,plain,(
% 58.08/9.42 spl5880_4269 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4917(X0,X1,X2)) = X2 | ~sP2312(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4269])])).
% 58.08/9.42 tff(f61237,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4917(X0,X1,X2)) = X2 | ~sP2312(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43795])).
% 58.08/9.42 tff(f43795,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4917(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,sK4917(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4917(X0,X1,X2)) = X2) | ~sP2312(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4917])],[f43793,f43794])).
% 58.08/9.42 tff(f43794,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4917(X0,X1,X2))),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,sK4917(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4917(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43793,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP2312(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43792])).
% 58.08/9.42 tff(f43792,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2312(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37627])).
% 58.08/9.42 tff(f37627,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2312(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2312])])).
% 58.08/9.42 tff(f103581,plain,(
% 58.08/9.42 spl5880_4268),
% 58.08/9.42 inference(avatar_split_clause,[],[f61234,f103579])).
% 58.08/9.42 tff(f103579,plain,(
% 58.08/9.42 spl5880_4268 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4916(X0,X1,X2)) = X1 | ~sP2313(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4268])])).
% 58.08/9.42 tff(f61234,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4916(X0,X1,X2)) = X1 | ~sP2313(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43791])).
% 58.08/9.42 tff(f43791,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4915(X0,X1,X2))),aa(num,num,bit0,sK4916(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4915(X0,X1,X2)),sK4916(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4916(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4915(X0,X1,X2)) = X2) | ~sP2313(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4915,sK4916])],[f43788,f43790,f43789])).
% 58.08/9.42 tff(f43789,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4915(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4915(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4915(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43790,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4915(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4915(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4915(X0,X1,X2))),aa(num,num,bit0,sK4916(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4915(X0,X1,X2)),sK4916(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4916(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43788,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2313(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43787])).
% 58.08/9.42 tff(f43787,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2313(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37628])).
% 58.08/9.42 tff(f37628,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2313(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2313])])).
% 58.08/9.42 tff(f103577,plain,(
% 58.08/9.42 spl5880_4267),
% 58.08/9.42 inference(avatar_split_clause,[],[f61233,f103575])).
% 58.08/9.42 tff(f103575,plain,(
% 58.08/9.42 spl5880_4267 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4915(X0,X1,X2)) = X2 | ~sP2313(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4267])])).
% 58.08/9.42 tff(f61233,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4915(X0,X1,X2)) = X2 | ~sP2313(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43791])).
% 58.08/9.42 tff(f103573,plain,(
% 58.08/9.42 spl5880_4266),
% 58.08/9.42 inference(avatar_split_clause,[],[f61230,f103571])).
% 58.08/9.42 tff(f103571,plain,(
% 58.08/9.42 spl5880_4266 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4914(X0,X1,X2)) = X1 | ~sP2314(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4266])])).
% 58.08/9.42 tff(f61230,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4914(X0,X1,X2)) = X1 | ~sP2314(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43786])).
% 58.08/9.42 tff(f43786,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4913(X0,X1,X2))),aa(num,num,bit1,sK4914(X0,X1,X2))))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4913(X0,X1,X2)),sK4914(X0,X1,X2)))) = X0 & aa(num,num,bit1,sK4914(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4913(X0,X1,X2)) = X2) | ~sP2314(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4913,sK4914])],[f43783,f43785,f43784])).
% 58.08/9.42 tff(f43784,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4913(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4913(X0,X1,X2)),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4913(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43785,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4913(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4913(X0,X1,X2)),X4))) = X0 & aa(num,num,bit1,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4913(X0,X1,X2))),aa(num,num,bit1,sK4914(X0,X1,X2))))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4913(X0,X1,X2)),sK4914(X0,X1,X2)))) = X0 & aa(num,num,bit1,sK4914(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43783,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2314(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43782])).
% 58.08/9.42 tff(f43782,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X8),X9))) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2314(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37629])).
% 58.08/9.42 tff(f37629,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,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,X8)),aa(num,num,bit1,X9)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X8),X9))) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2314(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2314])])).
% 58.08/9.42 tff(f103569,plain,(
% 58.08/9.42 spl5880_4265),
% 58.08/9.42 inference(avatar_split_clause,[],[f61229,f103567])).
% 58.08/9.42 tff(f103567,plain,(
% 58.08/9.42 spl5880_4265 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4913(X0,X1,X2)) = X2 | ~sP2314(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4265])])).
% 58.08/9.42 tff(f61229,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4913(X0,X1,X2)) = X2 | ~sP2314(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43786])).
% 58.08/9.42 tff(f103565,plain,(
% 58.08/9.42 spl5880_4264),
% 58.08/9.42 inference(avatar_split_clause,[],[f61225,f103563])).
% 58.08/9.42 tff(f103563,plain,(
% 58.08/9.42 spl5880_4264 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4912(X0,X1,X2)) = X2 | ~sP2315(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4264])])).
% 58.08/9.42 tff(f61225,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4912(X0,X1,X2)) = X2 | ~sP2315(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43781])).
% 58.08/9.42 tff(f103558,plain,(
% 58.08/9.42 spl5880_4263),
% 58.08/9.42 inference(avatar_split_clause,[],[f61222,f103556])).
% 58.08/9.42 tff(f103556,plain,(
% 58.08/9.42 spl5880_4263 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4911(X0,X1,X2)) = X1 | ~sP2316(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4263])])).
% 58.08/9.42 tff(f61222,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4911(X0,X1,X2)) = X1 | ~sP2316(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43777])).
% 58.08/9.42 tff(f43777,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4910(X0,X1,X2))),aa(num,num,bit0,sK4911(X0,X1,X2))))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4910(X0,X1,X2)),sK4911(X0,X1,X2)))) = X0 & aa(num,num,bit0,sK4911(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4910(X0,X1,X2)) = X2) | ~sP2316(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4910,sK4911])],[f43774,f43776,f43775])).
% 58.08/9.42 tff(f43775,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4910(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4910(X0,X1,X2)),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4910(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43776,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4910(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4910(X0,X1,X2)),X4))) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4910(X0,X1,X2))),aa(num,num,bit0,sK4911(X0,X1,X2))))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4910(X0,X1,X2)),sK4911(X0,X1,X2)))) = X0 & aa(num,num,bit0,sK4911(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43774,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2316(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43773])).
% 58.08/9.42 tff(f43773,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un2901131394128224187um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X11)),aa(num,num,bit0,X12)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X11),X12))) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2316(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37631])).
% 58.08/9.42 tff(f37631,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,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,X11)),aa(num,num,bit0,X12)))) & aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X11),X12))) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2316(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2316])])).
% 58.08/9.42 tff(f103554,plain,(
% 58.08/9.42 spl5880_4262),
% 58.08/9.42 inference(avatar_split_clause,[],[f61221,f103552])).
% 58.08/9.42 tff(f103552,plain,(
% 58.08/9.42 spl5880_4262 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4910(X0,X1,X2)) = X2 | ~sP2316(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4262])])).
% 58.08/9.42 tff(f61221,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4910(X0,X1,X2)) = X2 | ~sP2316(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43777])).
% 58.08/9.42 tff(f103550,plain,(
% 58.08/9.42 spl5880_4261),
% 58.08/9.42 inference(avatar_split_clause,[],[f61217,f103548])).
% 58.08/9.42 tff(f103548,plain,(
% 58.08/9.42 spl5880_4261 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2301(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4261])])).
% 58.08/9.42 tff(f61217,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2301(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43768])).
% 58.08/9.42 tff(f43768,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & one2 = X1 & one2 = X2) | ~sP2301(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43767])).
% 58.08/9.42 tff(f43767,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP2301(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37615])).
% 58.08/9.42 tff(f37615,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP2301(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2301])])).
% 58.08/9.42 tff(f103546,plain,(
% 58.08/9.42 spl5880_4260),
% 58.08/9.42 inference(avatar_split_clause,[],[f61211,f103544])).
% 58.08/9.42 tff(f103544,plain,(
% 58.08/9.42 spl5880_4260 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2303(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4260])])).
% 58.08/9.42 tff(f61211,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2303(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43762])).
% 58.08/9.42 tff(f43762,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK4906(X1)) = X1 & one2 = X2) | ~sP2303(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4906])],[f43760,f43761])).
% 58.08/9.42 tff(f43761,plain,(
% 58.08/9.42 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X1 => aa(num,num,bit1,sK4906(X1)) = X1)),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43760,plain,(
% 58.08/9.42 ! [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) | ~sP2303(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43759])).
% 58.08/9.42 tff(f43759,plain,(
% 58.08/9.42 ! [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) | ~sP2303(X2,X1,X0))),
% 58.08/9.42 inference(nnf_transformation,[],[f37617])).
% 58.08/9.42 tff(f37617,plain,(
% 58.08/9.42 ! [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) | ~sP2303(X2,X1,X0))),
% 58.08/9.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2303])])).
% 58.08/9.42 tff(f103542,plain,(
% 58.08/9.42 spl5880_4259),
% 58.08/9.42 inference(avatar_split_clause,[],[f61204,f103540])).
% 58.08/9.42 tff(f103540,plain,(
% 58.08/9.42 spl5880_4259 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4904(X0,X1,X2)) = X1 | ~sP2305(X0,X1,X2))),
% 58.08/9.42 introduced(avatar_definition,[new_symbols(naming,[spl5880_4259])])).
% 58.08/9.42 tff(f61204,plain,(
% 58.08/9.42 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4904(X0,X1,X2)) = X1 | ~sP2305(X0,X1,X2)) )),
% 58.08/9.42 inference(cnf_transformation,[],[f43754])).
% 58.08/9.42 tff(f43754,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4903(X0,X1,X2)),sK4904(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4904(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4903(X0,X1,X2)) = X2) | ~sP2305(X0,X1,X2))),
% 58.08/9.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4903,sK4904])],[f43751,f43753,f43752])).
% 58.08/9.42 tff(f43752,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4903(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4903(X0,X1,X2)) = X2))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43753,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4903(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4903(X0,X1,X2)),sK4904(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4904(X0,X1,X2)) = X1))),
% 58.08/9.42 introduced(choice_axiom,[])).
% 58.08/9.42 tff(f43751,plain,(
% 58.08/9.42 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2305(X0,X1,X2))),
% 58.08/9.42 inference(rectify,[],[f43750])).
% 58.08/9.42 tff(f43750,plain,(
% 58.08/9.42 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2305(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37619])).
% 58.08/9.43 tff(f37619,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2305(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2305])])).
% 58.08/9.43 tff(f103538,plain,(
% 58.08/9.43 spl5880_4258),
% 58.08/9.43 inference(avatar_split_clause,[],[f61203,f103536])).
% 58.08/9.43 tff(f103536,plain,(
% 58.08/9.43 spl5880_4258 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4903(X0,X1,X2)) = X2 | ~sP2305(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4258])])).
% 58.08/9.43 tff(f61203,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4903(X0,X1,X2)) = X2 | ~sP2305(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43754])).
% 58.08/9.43 tff(f103534,plain,(
% 58.08/9.43 spl5880_4257),
% 58.08/9.43 inference(avatar_split_clause,[],[f61201,f103532])).
% 58.08/9.43 tff(f103532,plain,(
% 58.08/9.43 spl5880_4257 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4902(X0,X1,X2)) = X1 | ~sP2306(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4257])])).
% 58.08/9.43 tff(f61201,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4902(X0,X1,X2)) = X1 | ~sP2306(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43749])).
% 58.08/9.43 tff(f43749,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4901(X0,X1,X2)),sK4902(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4902(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4901(X0,X1,X2)) = X2) | ~sP2306(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4901,sK4902])],[f43746,f43748,f43747])).
% 58.08/9.43 tff(f43747,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4901(X0,X1,X2)),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4901(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43748,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4901(X0,X1,X2)),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4901(X0,X1,X2)),sK4902(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4902(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43746,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2306(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43745])).
% 58.08/9.43 tff(f43745,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X8),X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2306(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37620])).
% 58.08/9.43 tff(f37620,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X8),X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2306(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2306])])).
% 58.08/9.43 tff(f103530,plain,(
% 58.08/9.43 spl5880_4256),
% 58.08/9.43 inference(avatar_split_clause,[],[f61200,f103528])).
% 58.08/9.43 tff(f103528,plain,(
% 58.08/9.43 spl5880_4256 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4901(X0,X1,X2)) = X2 | ~sP2306(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4256])])).
% 58.08/9.43 tff(f61200,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4901(X0,X1,X2)) = X2 | ~sP2306(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43749])).
% 58.08/9.43 tff(f103526,plain,(
% 58.08/9.43 spl5880_4255),
% 58.08/9.43 inference(avatar_split_clause,[],[f61199,f103524])).
% 58.08/9.43 tff(f103524,plain,(
% 58.08/9.43 spl5880_4255 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2307(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4255])])).
% 58.08/9.43 tff(f61199,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2307(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43744])).
% 58.08/9.43 tff(f43744,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK4900(X2)) = X2) | ~sP2307(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4900])],[f43742,f43743])).
% 58.08/9.43 tff(f43743,plain,(
% 58.08/9.43 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X2 => aa(num,num,bit1,sK4900(X2)) = X2)),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43742,plain,(
% 58.08/9.43 ! [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) | ~sP2307(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43741])).
% 58.08/9.43 tff(f43741,plain,(
% 58.08/9.43 ! [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) | ~sP2307(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37621])).
% 58.08/9.43 tff(f37621,plain,(
% 58.08/9.43 ! [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) | ~sP2307(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2307])])).
% 58.08/9.43 tff(f103522,plain,(
% 58.08/9.43 spl5880_4254),
% 58.08/9.43 inference(avatar_split_clause,[],[f61195,f103520])).
% 58.08/9.43 tff(f103520,plain,(
% 58.08/9.43 spl5880_4254 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4899(X0,X1,X2)) = X1 | ~sP2308(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4254])])).
% 58.08/9.43 tff(f61195,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4899(X0,X1,X2)) = X1 | ~sP2308(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43740])).
% 58.08/9.43 tff(f43740,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4898(X0,X1,X2)),sK4899(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4899(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4898(X0,X1,X2)) = X2) | ~sP2308(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4898,sK4899])],[f43737,f43739,f43738])).
% 58.08/9.43 tff(f43738,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4898(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4898(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43739,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4898(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,sK4898(X0,X1,X2)),sK4899(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4899(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43737,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2308(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43736])).
% 58.08/9.43 tff(f43736,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X11),X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2308(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37622])).
% 58.08/9.43 tff(f37622,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,X11),X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2308(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2308])])).
% 58.08/9.43 tff(f103515,plain,(
% 58.08/9.43 spl5880_4253),
% 58.08/9.43 inference(avatar_split_clause,[],[f61194,f103513])).
% 58.08/9.43 tff(f103513,plain,(
% 58.08/9.43 spl5880_4253 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4898(X0,X1,X2)) = X2 | ~sP2308(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4253])])).
% 58.08/9.43 tff(f61194,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4898(X0,X1,X2)) = X2 | ~sP2308(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43740])).
% 58.08/9.43 tff(f103511,plain,(
% 58.08/9.43 spl5880_4252),
% 58.08/9.43 inference(avatar_split_clause,[],[f61179,f103509])).
% 58.08/9.43 tff(f103509,plain,(
% 58.08/9.43 spl5880_4252 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4893(X0,X1,X2)) = X2 | ~sP2296(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4252])])).
% 58.08/9.43 tff(f61179,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4893(X0,X1,X2)) = X2 | ~sP2296(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43721])).
% 58.08/9.43 tff(f43721,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit1,sK4893(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4893(X0,X1,X2)) = X2) | ~sP2296(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4893])],[f43719,f43720])).
% 58.08/9.43 tff(f43720,plain,(
% 58.08/9.43 ! [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,sK4893(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK4893(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43719,plain,(
% 58.08/9.43 ! [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) | ~sP2296(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43718])).
% 58.08/9.43 tff(f43718,plain,(
% 58.08/9.43 ! [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) | ~sP2296(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37609])).
% 58.08/9.43 tff(f37609,plain,(
% 58.08/9.43 ! [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) | ~sP2296(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2296])])).
% 58.08/9.43 tff(f103507,plain,(
% 58.08/9.43 spl5880_4251),
% 58.08/9.43 inference(avatar_split_clause,[],[f61177,f103505])).
% 58.08/9.43 tff(f103505,plain,(
% 58.08/9.43 spl5880_4251 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4892(X0,X1,X2)) = X1 | ~sP2297(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4251])])).
% 58.08/9.43 tff(f61177,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4892(X0,X1,X2)) = X1 | ~sP2297(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43717])).
% 58.08/9.43 tff(f43717,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4891(X0,X1,X2)),sK4892(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4892(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4891(X0,X1,X2)) = X2) | ~sP2297(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4891,sK4892])],[f43714,f43716,f43715])).
% 58.08/9.43 tff(f43715,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4891(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4891(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43716,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4891(X0,X1,X2)),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4891(X0,X1,X2)),sK4892(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4892(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43714,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2297(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43713])).
% 58.08/9.43 tff(f43713,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2297(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37610])).
% 58.08/9.43 tff(f37610,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X6),X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2297(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2297])])).
% 58.08/9.43 tff(f103503,plain,(
% 58.08/9.43 spl5880_4250),
% 58.08/9.43 inference(avatar_split_clause,[],[f61176,f103501])).
% 58.08/9.43 tff(f103501,plain,(
% 58.08/9.43 spl5880_4250 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4891(X0,X1,X2)) = X2 | ~sP2297(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4250])])).
% 58.08/9.43 tff(f61176,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4891(X0,X1,X2)) = X2 | ~sP2297(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43717])).
% 58.08/9.43 tff(f103499,plain,(
% 58.08/9.43 spl5880_4249),
% 58.08/9.43 inference(avatar_split_clause,[],[f61174,f103497])).
% 58.08/9.43 tff(f103497,plain,(
% 58.08/9.43 spl5880_4249 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4890(X0,X1,X2)) = X1 | ~sP2298(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4249])])).
% 58.08/9.43 tff(f61174,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4890(X0,X1,X2)) = X1 | ~sP2298(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43712])).
% 58.08/9.43 tff(f43712,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4889(X0,X1,X2)),sK4890(X0,X1,X2)))) = X0 & aa(num,num,bit1,sK4890(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4889(X0,X1,X2)) = X2) | ~sP2298(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4889,sK4890])],[f43709,f43711,f43710])).
% 58.08/9.43 tff(f43710,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4889(X0,X1,X2)),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4889(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43711,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4889(X0,X1,X2)),X4))) = X0 & aa(num,num,bit1,X4) = X1) => (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4889(X0,X1,X2)),sK4890(X0,X1,X2)))) = X0 & aa(num,num,bit1,sK4890(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43709,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2298(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43708])).
% 58.08/9.43 tff(f43708,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X8),X9))) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2298(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37611])).
% 58.08/9.43 tff(f37611,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X8),X9))) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2298(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2298])])).
% 58.08/9.43 tff(f103495,plain,(
% 58.08/9.43 spl5880_4248),
% 58.08/9.43 inference(avatar_split_clause,[],[f61173,f103493])).
% 58.08/9.43 tff(f103493,plain,(
% 58.08/9.43 spl5880_4248 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4889(X0,X1,X2)) = X2 | ~sP2298(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4248])])).
% 58.08/9.43 tff(f61173,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4889(X0,X1,X2)) = X2 | ~sP2298(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43712])).
% 58.08/9.43 tff(f103491,plain,(
% 58.08/9.43 spl5880_4247),
% 58.08/9.43 inference(avatar_split_clause,[],[f61170,f103489])).
% 58.08/9.43 tff(f103489,plain,(
% 58.08/9.43 spl5880_4247 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4888(X0,X1,X2)) = X2 | ~sP2299(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4247])])).
% 58.08/9.43 tff(f61170,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4888(X0,X1,X2)) = X2 | ~sP2299(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43707])).
% 58.08/9.43 tff(f103487,plain,(
% 58.08/9.43 spl5880_4246),
% 58.08/9.43 inference(avatar_split_clause,[],[f61168,f103485])).
% 58.08/9.43 tff(f103485,plain,(
% 58.08/9.43 spl5880_4246 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4887(X0,X1,X2)) = X1 | ~sP2300(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4246])])).
% 58.08/9.43 tff(f61168,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4887(X0,X1,X2)) = X1 | ~sP2300(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43703])).
% 58.08/9.43 tff(f43703,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4886(X0,X1,X2)),sK4887(X0,X1,X2)))) = X0 & aa(num,num,bit0,sK4887(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4886(X0,X1,X2)) = X2) | ~sP2300(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4886,sK4887])],[f43700,f43702,f43701])).
% 58.08/9.43 tff(f43701,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4886(X0,X1,X2)),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4886(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43702,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4886(X0,X1,X2)),X4))) = X0 & aa(num,num,bit0,X4) = X1) => (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,sK4886(X0,X1,X2)),sK4887(X0,X1,X2)))) = X0 & aa(num,num,bit0,sK4887(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43700,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X3),X4))) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2300(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43699])).
% 58.08/9.43 tff(f43699,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X11),X12))) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2300(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37613])).
% 58.08/9.43 tff(f37613,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (aa(num,option(num),some(num),case_option(num,num,one2,bit1,aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,X11),X12))) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2300(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2300])])).
% 58.08/9.43 tff(f103483,plain,(
% 58.08/9.43 spl5880_4245),
% 58.08/9.43 inference(avatar_split_clause,[],[f61167,f103481])).
% 58.08/9.43 tff(f103481,plain,(
% 58.08/9.43 spl5880_4245 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4886(X0,X1,X2)) = X2 | ~sP2300(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4245])])).
% 58.08/9.43 tff(f61167,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4886(X0,X1,X2)) = X2 | ~sP2300(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43703])).
% 58.08/9.43 tff(f103479,plain,(
% 58.08/9.43 spl5880_4244),
% 58.08/9.43 inference(avatar_split_clause,[],[f61083,f103477])).
% 58.08/9.43 tff(f103477,plain,(
% 58.08/9.43 spl5880_4244 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2285(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4244])])).
% 58.08/9.43 tff(f61083,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2285(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43643])).
% 58.08/9.43 tff(f43643,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4855(X0,X1))))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK4855(X0,X1)) = X1) & one2 = X2) | ~sP2285(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4855])],[f43641,f43642])).
% 58.08/9.43 tff(f43642,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4855(X0,X1))))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK4855(X0,X1)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43641,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP2285(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43640])).
% 58.08/9.43 tff(f43640,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2285(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37596])).
% 58.08/9.43 tff(f37596,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2285(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2285])])).
% 58.08/9.43 tff(f103472,plain,(
% 58.08/9.43 spl5880_4243),
% 58.08/9.43 inference(avatar_split_clause,[],[f61073,f103470])).
% 58.08/9.43 tff(f103470,plain,(
% 58.08/9.43 spl5880_4243 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4853(X0,X1,X2)) = X2 | ~sP2287(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4243])])).
% 58.08/9.43 tff(f61073,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4853(X0,X1,X2)) = X2 | ~sP2287(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43635])).
% 58.08/9.43 tff(f103468,plain,(
% 58.08/9.43 spl5880_4242),
% 58.08/9.43 inference(avatar_split_clause,[],[f61070,f103466])).
% 58.08/9.43 tff(f103466,plain,(
% 58.08/9.43 spl5880_4242 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4852(X0,X1,X2)) = X1 | ~sP2288(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4242])])).
% 58.08/9.43 tff(f61070,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4852(X0,X1,X2)) = X1 | ~sP2288(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43631])).
% 58.08/9.43 tff(f43631,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4851(X0,X1,X2))),aa(num,num,bit0,sK4852(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4851(X0,X1,X2),sK4852(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4852(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4851(X0,X1,X2)) = X2) | ~sP2288(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4851,sK4852])],[f43628,f43630,f43629])).
% 58.08/9.43 tff(f43629,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4851(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4851(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4851(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43630,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4851(X0,X1,X2))),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4851(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4851(X0,X1,X2))),aa(num,num,bit0,sK4852(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4851(X0,X1,X2),sK4852(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4852(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43628,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit0,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2288(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43627])).
% 58.08/9.43 tff(f43627,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2288(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37599])).
% 58.08/9.43 tff(f37599,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X6)),aa(num,num,bit0,X7)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2288(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2288])])).
% 58.08/9.43 tff(f103464,plain,(
% 58.08/9.43 spl5880_4241),
% 58.08/9.43 inference(avatar_split_clause,[],[f61069,f103462])).
% 58.08/9.43 tff(f103462,plain,(
% 58.08/9.43 spl5880_4241 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4851(X0,X1,X2)) = X2 | ~sP2288(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4241])])).
% 58.08/9.43 tff(f61069,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4851(X0,X1,X2)) = X2 | ~sP2288(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43631])).
% 58.08/9.43 tff(f103460,plain,(
% 58.08/9.43 spl5880_4240),
% 58.08/9.43 inference(avatar_split_clause,[],[f61066,f103458])).
% 58.08/9.43 tff(f103458,plain,(
% 58.08/9.43 spl5880_4240 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4850(X0,X1,X2)) = X1 | ~sP2289(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4240])])).
% 58.08/9.43 tff(f61066,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4850(X0,X1,X2)) = X1 | ~sP2289(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43626])).
% 58.08/9.43 tff(f43626,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4849(X0,X1,X2))),aa(num,num,bit1,sK4850(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4849(X0,X1,X2),sK4850(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4850(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4849(X0,X1,X2)) = X2) | ~sP2289(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4849,sK4850])],[f43623,f43625,f43624])).
% 58.08/9.43 tff(f43624,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4849(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4849(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4849(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43625,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4849(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4849(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4849(X0,X1,X2))),aa(num,num,bit1,sK4850(X0,X1,X2))))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4849(X0,X1,X2),sK4850(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4850(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43623,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2289(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43622])).
% 58.08/9.43 tff(f43622,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2289(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37600])).
% 58.08/9.43 tff(f37600,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,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,X8)),aa(num,num,bit1,X9)))) & aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2289(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2289])])).
% 58.08/9.43 tff(f103456,plain,(
% 58.08/9.43 spl5880_4239),
% 58.08/9.43 inference(avatar_split_clause,[],[f61065,f103454])).
% 58.08/9.43 tff(f103454,plain,(
% 58.08/9.43 spl5880_4239 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4849(X0,X1,X2)) = X2 | ~sP2289(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4239])])).
% 58.08/9.43 tff(f61065,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4849(X0,X1,X2)) = X2 | ~sP2289(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43626])).
% 58.08/9.43 tff(f103452,plain,(
% 58.08/9.43 spl5880_4238),
% 58.08/9.43 inference(avatar_split_clause,[],[f61061,f103450])).
% 58.08/9.43 tff(f103450,plain,(
% 58.08/9.43 spl5880_4238 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4848(X0,X1,X2)) = X2 | ~sP2290(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4238])])).
% 58.08/9.43 tff(f61061,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4848(X0,X1,X2)) = X2 | ~sP2290(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43621])).
% 58.08/9.43 tff(f103448,plain,(
% 58.08/9.43 spl5880_4237),
% 58.08/9.43 inference(avatar_split_clause,[],[f61058,f103446])).
% 58.08/9.43 tff(f103446,plain,(
% 58.08/9.43 spl5880_4237 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4847(X0,X1,X2)) = X1 | ~sP2291(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4237])])).
% 58.08/9.43 tff(f61058,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4847(X0,X1,X2)) = X1 | ~sP2291(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43617])).
% 58.08/9.43 tff(f43617,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4846(X0,X1,X2))),aa(num,num,bit0,sK4847(X0,X1,X2))))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4846(X0,X1,X2),sK4847(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4847(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4846(X0,X1,X2)) = X2) | ~sP2291(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4846,sK4847])],[f43614,f43616,f43615])).
% 58.08/9.43 tff(f43615,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4846(X0,X1,X2))),aa(num,num,bit0,X4)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4846(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4846(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43616,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4846(X0,X1,X2))),aa(num,num,bit0,X4)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4846(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4846(X0,X1,X2))),aa(num,num,bit0,sK4847(X0,X1,X2))))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4846(X0,X1,X2),sK4847(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4847(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43614,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),aa(num,num,bit0,X4)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2291(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43613])).
% 58.08/9.43 tff(f43613,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X11)),aa(num,num,bit0,X12)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2291(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37602])).
% 58.08/9.43 tff(f37602,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (($true = aa(product_prod(num,num),$o,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,X11)),aa(num,num,bit0,X12)))) & case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2291(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2291])])).
% 58.08/9.43 tff(f103444,plain,(
% 58.08/9.43 spl5880_4236),
% 58.08/9.43 inference(avatar_split_clause,[],[f61057,f103442])).
% 58.08/9.43 tff(f103442,plain,(
% 58.08/9.43 spl5880_4236 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4846(X0,X1,X2)) = X2 | ~sP2291(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4236])])).
% 58.08/9.43 tff(f61057,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4846(X0,X1,X2)) = X2 | ~sP2291(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43617])).
% 58.08/9.43 tff(f103440,plain,(
% 58.08/9.43 spl5880_4235),
% 58.08/9.43 inference(avatar_split_clause,[],[f61050,f103438])).
% 58.08/9.43 tff(f103438,plain,(
% 58.08/9.43 spl5880_4235 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2277(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4235])])).
% 58.08/9.43 tff(f61050,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,option(num),some(num),one2) = X0 | ~sP2277(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43606])).
% 58.08/9.43 tff(f43606,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK4843(X1)) = X1 & one2 = X2) | ~sP2277(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4843])],[f43604,f43605])).
% 58.08/9.43 tff(f43605,plain,(
% 58.08/9.43 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X1 => aa(num,num,bit0,sK4843(X1)) = X1)),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43604,plain,(
% 58.08/9.43 ! [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) | ~sP2277(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43603])).
% 58.08/9.43 tff(f43603,plain,(
% 58.08/9.43 ! [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) | ~sP2277(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37587])).
% 58.08/9.43 tff(f37587,plain,(
% 58.08/9.43 ! [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) | ~sP2277(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2277])])).
% 58.08/9.43 tff(f103436,plain,(
% 58.08/9.43 spl5880_4234),
% 58.08/9.43 inference(avatar_split_clause,[],[f61042,f103434])).
% 58.08/9.43 tff(f103434,plain,(
% 58.08/9.43 spl5880_4234 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4841(X0,X1,X2)) = X2 | ~sP2279(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4234])])).
% 58.08/9.43 tff(f61042,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4841(X0,X1,X2)) = X2 | ~sP2279(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43598])).
% 58.08/9.43 tff(f103429,plain,(
% 58.08/9.43 spl5880_4233),
% 58.08/9.43 inference(avatar_split_clause,[],[f61040,f103427])).
% 58.08/9.43 tff(f103427,plain,(
% 58.08/9.43 spl5880_4233 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4840(X0,X1,X2)) = X1 | ~sP2280(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4233])])).
% 58.08/9.43 tff(f61040,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4840(X0,X1,X2)) = X1 | ~sP2280(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43594])).
% 58.08/9.43 tff(f43594,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4839(X0,X1,X2),sK4840(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4840(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4839(X0,X1,X2)) = X2) | ~sP2280(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4839,sK4840])],[f43591,f43593,f43592])).
% 58.08/9.43 tff(f43592,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4839(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,sK4839(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43593,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4839(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4839(X0,X1,X2),sK4840(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4840(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43591,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2280(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43590])).
% 58.08/9.43 tff(f43590,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2280(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37590])).
% 58.08/9.43 tff(f37590,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X6 : num] : (? [X7 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X6,X7)) = X2 & aa(num,num,bit0,X7) = X1) & aa(num,num,bit0,X6) = X0) | ~sP2280(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2280])])).
% 58.08/9.43 tff(f103425,plain,(
% 58.08/9.43 spl5880_4232),
% 58.08/9.43 inference(avatar_split_clause,[],[f61039,f103423])).
% 58.08/9.43 tff(f103423,plain,(
% 58.08/9.43 spl5880_4232 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4839(X0,X1,X2)) = X2 | ~sP2280(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4232])])).
% 58.08/9.43 tff(f61039,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4839(X0,X1,X2)) = X2 | ~sP2280(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43594])).
% 58.08/9.43 tff(f103421,plain,(
% 58.08/9.43 spl5880_4231),
% 58.08/9.43 inference(avatar_split_clause,[],[f61037,f103419])).
% 58.08/9.43 tff(f103419,plain,(
% 58.08/9.43 spl5880_4231 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4838(X0,X1,X2)) = X1 | ~sP2281(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4231])])).
% 58.08/9.43 tff(f61037,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4838(X0,X1,X2)) = X1 | ~sP2281(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43589])).
% 58.08/9.43 tff(f43589,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4837(X0,X1,X2),sK4838(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4838(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4837(X0,X1,X2)) = X2) | ~sP2281(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4837,sK4838])],[f43586,f43588,f43587])).
% 58.08/9.43 tff(f43587,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4837(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4837(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43588,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4837(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(sK4837(X0,X1,X2),sK4838(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4838(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43586,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2281(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43585])).
% 58.08/9.43 tff(f43585,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2281(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37591])).
% 58.08/9.43 tff(f37591,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(option(num),option(num),map_option(num,num,bit0),bit_and_not_num(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2281(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2281])])).
% 58.08/9.43 tff(f103417,plain,(
% 58.08/9.43 spl5880_4230),
% 58.08/9.43 inference(avatar_split_clause,[],[f61036,f103415])).
% 58.08/9.43 tff(f103415,plain,(
% 58.08/9.43 spl5880_4230 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4837(X0,X1,X2)) = X2 | ~sP2281(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4230])])).
% 58.08/9.43 tff(f61036,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4837(X0,X1,X2)) = X2 | ~sP2281(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43589])).
% 58.08/9.43 tff(f103413,plain,(
% 58.08/9.43 spl5880_4229),
% 58.08/9.43 inference(avatar_split_clause,[],[f61033,f103411])).
% 58.08/9.43 tff(f103411,plain,(
% 58.08/9.43 spl5880_4229 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4836(X0,X1,X2)) = X2 | ~sP2282(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4229])])).
% 58.08/9.43 tff(f61033,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4836(X0,X1,X2)) = X2 | ~sP2282(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43584])).
% 58.08/9.43 tff(f103409,plain,(
% 58.08/9.43 spl5880_4228),
% 58.08/9.43 inference(avatar_split_clause,[],[f61031,f103407])).
% 58.08/9.43 tff(f103407,plain,(
% 58.08/9.43 spl5880_4228 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4835(X0,X1,X2)) = X1 | ~sP2283(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4228])])).
% 58.08/9.43 tff(f61031,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4835(X0,X1,X2)) = X1 | ~sP2283(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43580])).
% 58.08/9.43 tff(f43580,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (((case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4834(X0,X1,X2),sK4835(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4835(X0,X1,X2)) = X1) & aa(num,num,bit1,sK4834(X0,X1,X2)) = X2) | ~sP2283(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4834,sK4835])],[f43577,f43579,f43578])).
% 58.08/9.43 tff(f43578,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) => (? [X4 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4834(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,sK4834(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43579,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X4 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4834(X0,X1,X2),X4)) = X0 & aa(num,num,bit0,X4) = X1) => (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(sK4834(X0,X1,X2),sK4835(X0,X1,X2))) = X0 & aa(num,num,bit0,sK4835(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43577,plain,(
% 58.08/9.43 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X3,X4)) = X0 & aa(num,num,bit0,X4) = X1) & aa(num,num,bit1,X3) = X2) | ~sP2283(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43576])).
% 58.08/9.43 tff(f43576,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2283(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37593])).
% 58.08/9.43 tff(f37593,plain,(
% 58.08/9.43 ! [X2 : option(num),X1 : num,X0 : num] : (? [X11 : num] : (? [X12 : num] : (case_option(option(num),num,aa(num,option(num),some(num),one2),aTP_Lamp_aby(num,option(num)),bit_and_not_num(X11,X12)) = X2 & aa(num,num,bit0,X12) = X1) & aa(num,num,bit1,X11) = X0) | ~sP2283(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2283])])).
% 58.08/9.43 tff(f103405,plain,(
% 58.08/9.43 spl5880_4227),
% 58.08/9.43 inference(avatar_split_clause,[],[f61030,f103403])).
% 58.08/9.43 tff(f103403,plain,(
% 58.08/9.43 spl5880_4227 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4834(X0,X1,X2)) = X2 | ~sP2283(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4227])])).
% 58.08/9.43 tff(f61030,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4834(X0,X1,X2)) = X2 | ~sP2283(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43580])).
% 58.08/9.43 tff(f103401,plain,(
% 58.08/9.43 spl5880_4226),
% 58.08/9.43 inference(avatar_split_clause,[],[f60996,f103399])).
% 58.08/9.43 tff(f103399,plain,(
% 58.08/9.43 spl5880_4226 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,sK4805(X0,X1,X2)) = X1 | ~sP2266(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4226])])).
% 58.08/9.43 tff(f60996,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,sK4805(X0,X1,X2)) = X1 | ~sP2266(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43540])).
% 58.08/9.43 tff(f103397,plain,(
% 58.08/9.43 spl5880_4225),
% 58.08/9.43 inference(avatar_split_clause,[],[f60889,f103395])).
% 58.08/9.43 tff(f103395,plain,(
% 58.08/9.43 spl5880_4225 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4703(X0,X1,X2)) = X2 | ~sP2240(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4225])])).
% 58.08/9.43 tff(f60889,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4703(X0,X1,X2)) = X2 | ~sP2240(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43408])).
% 58.08/9.43 tff(f43408,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4703(X0,X1,X2))),one2))) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK4703(X0,X1,X2)) = X2) | ~sP2240(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4703])],[f43406,f43407])).
% 58.08/9.43 tff(f43407,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4703(X0,X1,X2))),one2))) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK4703(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43406,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2))) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP2240(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43405])).
% 58.08/9.43 tff(f43405,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2))) & aa(num,num,bit0,one2) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP2240(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37543])).
% 58.08/9.43 tff(f37543,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X5 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2240(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2240])])).
% 58.08/9.43 tff(f103393,plain,(
% 58.08/9.43 spl5880_4224),
% 58.08/9.43 inference(avatar_split_clause,[],[f60886,f103391])).
% 58.08/9.43 tff(f103391,plain,(
% 58.08/9.43 spl5880_4224 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4702(X0,X1,X2)) = X1 | ~sP2241(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4224])])).
% 58.08/9.43 tff(f60886,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4702(X0,X1,X2)) = X1 | ~sP2241(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43404])).
% 58.08/9.43 tff(f103386,plain,(
% 58.08/9.43 spl5880_4223),
% 58.08/9.43 inference(avatar_split_clause,[],[f60885,f103384])).
% 58.08/9.43 tff(f103384,plain,(
% 58.08/9.43 spl5880_4223 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4701(X0,X1,X2)) = X2 | ~sP2241(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4223])])).
% 58.08/9.43 tff(f60885,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4701(X0,X1,X2)) = X2 | ~sP2241(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43404])).
% 58.08/9.43 tff(f103382,plain,(
% 58.08/9.43 spl5880_4222),
% 58.08/9.43 inference(avatar_split_clause,[],[f60882,f103380])).
% 58.08/9.43 tff(f103380,plain,(
% 58.08/9.43 spl5880_4222 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4700(X0,X1,X2)) = X1 | ~sP2242(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4222])])).
% 58.08/9.43 tff(f60882,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4700(X0,X1,X2)) = X1 | ~sP2242(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43399])).
% 58.08/9.43 tff(f43399,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4699(X0,X1,X2))),aa(num,num,bit1,sK4700(X0,X1,X2))))) & aa(num,num,bit0,bit_or_not_num_neg(sK4699(X0,X1,X2),sK4700(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4700(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4699(X0,X1,X2)) = X2) | ~sP2242(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4699,sK4700])],[f43396,f43398,f43397])).
% 58.08/9.43 tff(f43397,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(num,num,bit0,bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4699(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(num,num,bit0,bit_or_not_num_neg(sK4699(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4699(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43398,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4699(X0,X1,X2))),aa(num,num,bit1,X4)))) & aa(num,num,bit0,bit_or_not_num_neg(sK4699(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK4699(X0,X1,X2))),aa(num,num,bit1,sK4700(X0,X1,X2))))) & aa(num,num,bit0,bit_or_not_num_neg(sK4699(X0,X1,X2),sK4700(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4700(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43396,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),aa(num,num,bit1,X4)))) & aa(num,num,bit0,bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2242(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43395])).
% 58.08/9.43 tff(f43395,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(num,num,bit0,bit_or_not_num_neg(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2242(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37545])).
% 58.08/9.43 tff(f37545,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X8)),aa(num,num,bit1,X9)))) & aa(num,num,bit0,bit_or_not_num_neg(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2242(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2242])])).
% 58.08/9.43 tff(f103378,plain,(
% 58.08/9.43 spl5880_4221),
% 58.08/9.43 inference(avatar_split_clause,[],[f60881,f103376])).
% 58.08/9.43 tff(f103376,plain,(
% 58.08/9.43 spl5880_4221 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4699(X0,X1,X2)) = X2 | ~sP2242(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4221])])).
% 58.08/9.43 tff(f60881,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4699(X0,X1,X2)) = X2 | ~sP2242(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43399])).
% 58.08/9.43 tff(f103374,plain,(
% 58.08/9.43 spl5880_4220),
% 58.08/9.43 inference(avatar_split_clause,[],[f60877,f103372])).
% 58.08/9.43 tff(f103372,plain,(
% 58.08/9.43 spl5880_4220 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4698(X0,X1,X2)) = X2 | ~sP2243(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4220])])).
% 58.08/9.43 tff(f60877,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4698(X0,X1,X2)) = X2 | ~sP2243(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43394])).
% 58.08/9.43 tff(f43394,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : ((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4698(X0,X1,X2))),one2))) & one2 = X0 & one2 = X1 & aa(num,num,bit1,sK4698(X0,X1,X2)) = X2) | ~sP2243(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4698])],[f43392,f43393])).
% 58.08/9.43 tff(f43393,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & one2 = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK4698(X0,X1,X2))),one2))) & one2 = X0 & one2 = X1 & aa(num,num,bit1,sK4698(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43392,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2))) & one2 = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP2243(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43391])).
% 58.08/9.43 tff(f43391,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2))) & one2 = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP2243(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37546])).
% 58.08/9.43 tff(f37546,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X10 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2243(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2243])])).
% 58.08/9.43 tff(f103370,plain,(
% 58.08/9.43 spl5880_4219),
% 58.08/9.43 inference(avatar_split_clause,[],[f60874,f103368])).
% 58.08/9.43 tff(f103368,plain,(
% 58.08/9.43 spl5880_4219 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4697(X0,X1,X2)) = X1 | ~sP2244(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4219])])).
% 58.08/9.43 tff(f60874,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4697(X0,X1,X2)) = X1 | ~sP2244(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43390])).
% 58.08/9.43 tff(f103366,plain,(
% 58.08/9.43 spl5880_4218),
% 58.08/9.43 inference(avatar_split_clause,[],[f60873,f103364])).
% 58.08/9.43 tff(f103364,plain,(
% 58.08/9.43 spl5880_4218 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4696(X0,X1,X2)) = X2 | ~sP2244(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4218])])).
% 58.08/9.43 tff(f60873,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4696(X0,X1,X2)) = X2 | ~sP2244(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43390])).
% 58.08/9.43 tff(f103362,plain,(
% 58.08/9.43 spl5880_4217),
% 58.08/9.43 inference(avatar_split_clause,[],[f60856,f103360])).
% 58.08/9.43 tff(f103360,plain,(
% 58.08/9.43 spl5880_4217 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4690(X0,X1,X2)) = X1 | ~sP2233(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4217])])).
% 58.08/9.43 tff(f60856,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4690(X0,X1,X2)) = X1 | ~sP2233(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43367])).
% 58.08/9.43 tff(f103358,plain,(
% 58.08/9.43 spl5880_4216),
% 58.08/9.43 inference(avatar_split_clause,[],[f60855,f103356])).
% 58.08/9.43 tff(f103356,plain,(
% 58.08/9.43 spl5880_4216 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4689(X0,X1,X2)) = X2 | ~sP2233(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4216])])).
% 58.08/9.43 tff(f60855,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4689(X0,X1,X2)) = X2 | ~sP2233(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43367])).
% 58.08/9.43 tff(f103354,plain,(
% 58.08/9.43 spl5880_4215),
% 58.08/9.43 inference(avatar_split_clause,[],[f60853,f103352])).
% 58.08/9.43 tff(f103352,plain,(
% 58.08/9.43 spl5880_4215 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4688(X0,X1,X2)) = X1 | ~sP2234(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4215])])).
% 58.08/9.43 tff(f60853,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4688(X0,X1,X2)) = X1 | ~sP2234(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43362])).
% 58.08/9.43 tff(f43362,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (((aa(num,num,bit0,bit_or_not_num_neg(sK4687(X0,X1,X2),sK4688(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4688(X0,X1,X2)) = X1) & aa(num,num,bit0,sK4687(X0,X1,X2)) = X2) | ~sP2234(X0,X1,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4687,sK4688])],[f43359,f43361,f43360])).
% 58.08/9.43 tff(f43360,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,num,bit0,bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) => (? [X4 : num] : (aa(num,num,bit0,bit_or_not_num_neg(sK4687(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,sK4687(X0,X1,X2)) = X2))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43361,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X4 : num] : (aa(num,num,bit0,bit_or_not_num_neg(sK4687(X0,X1,X2),X4)) = X0 & aa(num,num,bit1,X4) = X1) => (aa(num,num,bit0,bit_or_not_num_neg(sK4687(X0,X1,X2),sK4688(X0,X1,X2))) = X0 & aa(num,num,bit1,sK4688(X0,X1,X2)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f43359,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (? [X4 : num] : (aa(num,num,bit0,bit_or_not_num_neg(X3,X4)) = X0 & aa(num,num,bit1,X4) = X1) & aa(num,num,bit0,X3) = X2) | ~sP2234(X0,X1,X2))),
% 58.08/9.43 inference(rectify,[],[f43358])).
% 58.08/9.43 tff(f43358,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(num,num,bit0,bit_or_not_num_neg(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2234(X2,X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37536])).
% 58.08/9.43 tff(f37536,plain,(
% 58.08/9.43 ! [X2 : num,X1 : num,X0 : num] : (? [X8 : num] : (? [X9 : num] : (aa(num,num,bit0,bit_or_not_num_neg(X8,X9)) = X2 & aa(num,num,bit1,X9) = X1) & aa(num,num,bit0,X8) = X0) | ~sP2234(X2,X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2234])])).
% 58.08/9.43 tff(f103350,plain,(
% 58.08/9.43 spl5880_4214),
% 58.08/9.43 inference(avatar_split_clause,[],[f60852,f103348])).
% 58.08/9.43 tff(f103348,plain,(
% 58.08/9.43 spl5880_4214 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4687(X0,X1,X2)) = X2 | ~sP2234(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4214])])).
% 58.08/9.43 tff(f60852,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4687(X0,X1,X2)) = X2 | ~sP2234(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43362])).
% 58.08/9.43 tff(f103343,plain,(
% 58.08/9.43 spl5880_4213),
% 58.08/9.43 inference(avatar_split_clause,[],[f60847,f103341])).
% 58.08/9.43 tff(f103341,plain,(
% 58.08/9.43 spl5880_4213 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4685(X0,X1,X2)) = X1 | ~sP2236(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4213])])).
% 58.08/9.43 tff(f60847,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4685(X0,X1,X2)) = X1 | ~sP2236(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43353])).
% 58.08/9.43 tff(f103339,plain,(
% 58.08/9.43 spl5880_4212),
% 58.08/9.43 inference(avatar_split_clause,[],[f60846,f103337])).
% 58.08/9.43 tff(f103337,plain,(
% 58.08/9.43 spl5880_4212 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4684(X0,X1,X2)) = X2 | ~sP2236(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4212])])).
% 58.08/9.43 tff(f60846,plain,(
% 58.08/9.43 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4684(X0,X1,X2)) = X2 | ~sP2236(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43353])).
% 58.08/9.43 tff(f103335,plain,(
% 58.08/9.43 spl5880_4211),
% 58.08/9.43 inference(avatar_split_clause,[],[f60663,f103333])).
% 58.08/9.43 tff(f103333,plain,(
% 58.08/9.43 spl5880_4211 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4482(X0,X1,X2)) = X1 | ~sP2178(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4211])])).
% 58.08/9.43 tff(f60663,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4482(X0,X1,X2)) = X1 | ~sP2178(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43112])).
% 58.08/9.43 tff(f103331,plain,(
% 58.08/9.43 spl5880_4210),
% 58.08/9.43 inference(avatar_split_clause,[],[f60643,f103329])).
% 58.08/9.43 tff(f103329,plain,(
% 58.08/9.43 spl5880_4210 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4463(X0,X1,X2)) = X1 | ~sP2173(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4210])])).
% 58.08/9.43 tff(f60643,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4463(X0,X1,X2)) = X1 | ~sP2173(X0,X1,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f43088])).
% 58.08/9.43 tff(f103327,plain,(
% 58.08/9.43 spl5880_4209),
% 58.08/9.43 inference(avatar_split_clause,[],[f60066,f103325])).
% 58.08/9.43 tff(f103325,plain,(
% 58.08/9.43 spl5880_4209 <=> ! [X0 : $tType,X2 : nat,X1 : list(X0)] : list_update(X0,X1,X2,aa(nat,X0,nth(X0,X1),X2)) = X1),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4209])])).
% 58.08/9.43 tff(f60066,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : nat,X1 : list(X0)] : (list_update(X0,X1,X2,aa(nat,X0,nth(X0,X1),X2)) = X1) )),
% 58.08/9.43 inference(cnf_transformation,[],[f26299])).
% 58.08/9.43 tff(f26299,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(X0),X2 : nat] : list_update(X0,X1,X2,aa(nat,X0,nth(X0,X1),X2)) = X1),
% 58.08/9.43 inference(rectify,[],[f723])).
% 58.08/9.43 tff(f723,axiom,(
% 58.08/9.43 ! [X0 : $tType,X64 : list(X0),X25 : nat] : list_update(X0,X64,X25,aa(nat,X0,nth(X0,X64),X25)) = X64),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_722_list__update__id)).
% 58.08/9.43 tff(f103323,plain,(
% 58.08/9.43 spl5880_4208),
% 58.08/9.43 inference(avatar_split_clause,[],[f59688,f103321])).
% 58.08/9.43 tff(f103321,plain,(
% 58.08/9.43 spl5880_4208 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4208])])).
% 58.08/9.43 tff(f59688,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42618])).
% 58.08/9.43 tff(f42618,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT,X1 : nat] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | (~vEBT_VEBT_membermima(X0,X1) & ~vEBT_V5719532721284313246member(X0,X1))) & (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1))))),
% 58.08/9.43 inference(flattening,[],[f42617])).
% 58.08/9.43 tff(f42617,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT,X1 : nat] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | (~vEBT_VEBT_membermima(X0,X1) & ~vEBT_V5719532721284313246member(X0,X1))) & ((vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1))))),
% 58.08/9.43 inference(nnf_transformation,[],[f16654])).
% 58.08/9.43 tff(f16654,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) <=> (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)))),
% 58.08/9.43 inference(fool_elimination,[],[f16653])).
% 58.08/9.43 tff(f16653,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) <=> (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)))),
% 58.08/9.43 inference(rectify,[],[f1561])).
% 58.08/9.43 tff(f1561,axiom,(
% 58.08/9.43 ! [X7 : vEBT_VEBT,X9 : nat] : (aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X9) <=> (vEBT_VEBT_membermima(X7,X9) | vEBT_V5719532721284313246member(X7,X9)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1560_both__member__options__def)).
% 58.08/9.43 tff(f103319,plain,(
% 58.08/9.43 spl5880_4207),
% 58.08/9.43 inference(avatar_split_clause,[],[f59500,f103317])).
% 58.08/9.43 tff(f103317,plain,(
% 58.08/9.43 spl5880_4207 <=> ! [X0 : real,X1 : real] : (X0 = X1 | aa(real,real,sqrt,X0) != aa(real,real,sqrt,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4207])])).
% 58.08/9.43 tff(f59500,plain,(
% 58.08/9.43 ( ! [X0 : real,X1 : real] : (X0 = X1 | aa(real,real,sqrt,X0) != aa(real,real,sqrt,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42460])).
% 58.08/9.43 tff(f42460,plain,(
% 58.08/9.43 ! [X0 : real,X1 : real] : ((aa(real,real,sqrt,X0) = aa(real,real,sqrt,X1) | X0 != X1) & (X0 = X1 | aa(real,real,sqrt,X0) != aa(real,real,sqrt,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f26223])).
% 58.08/9.43 tff(f26223,plain,(
% 58.08/9.43 ! [X0 : real,X1 : real] : (aa(real,real,sqrt,X0) = aa(real,real,sqrt,X1) <=> X0 = X1)),
% 58.08/9.43 inference(rectify,[],[f3754])).
% 58.08/9.43 tff(f3754,axiom,(
% 58.08/9.43 ! [X9 : real,X18 : real] : (aa(real,real,sqrt,X9) = aa(real,real,sqrt,X18) <=> X9 = X18)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3753_real__sqrt__eq__iff)).
% 58.08/9.43 tff(f103315,plain,(
% 58.08/9.43 spl5880_4206),
% 58.08/9.43 inference(avatar_split_clause,[],[f59496,f103313])).
% 58.08/9.43 tff(f103313,plain,(
% 58.08/9.43 spl5880_4206 <=> ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit0,X0) != aa(num,num,bit0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4206])])).
% 58.08/9.43 tff(f59496,plain,(
% 58.08/9.43 ( ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit0,X0) != aa(num,num,bit0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42458])).
% 58.08/9.43 tff(f42458,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num] : ((aa(num,num,bit0,X0) = aa(num,num,bit0,X1) | X0 != X1) & (X0 = X1 | aa(num,num,bit0,X0) != aa(num,num,bit0,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f26221])).
% 58.08/9.43 tff(f26221,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num] : (aa(num,num,bit0,X0) = aa(num,num,bit0,X1) <=> X0 = X1)),
% 58.08/9.43 inference(rectify,[],[f80])).
% 58.08/9.43 tff(f80,axiom,(
% 58.08/9.43 ! [X15 : num,X8 : num] : (aa(num,num,bit0,X8) = aa(num,num,bit0,X15) <=> X8 = X15)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_semiring__norm_I87_J)).
% 58.08/9.43 tff(f103311,plain,(
% 58.08/9.43 spl5880_4205),
% 58.08/9.43 inference(avatar_split_clause,[],[f59494,f103309])).
% 58.08/9.43 tff(f103309,plain,(
% 58.08/9.43 spl5880_4205 <=> ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4205])])).
% 58.08/9.43 tff(f59494,plain,(
% 58.08/9.43 ( ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42457])).
% 58.08/9.43 tff(f42457,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num] : ((aa(num,num,bit1,X0) = aa(num,num,bit1,X1) | X0 != X1) & (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f26220])).
% 58.08/9.43 tff(f26220,plain,(
% 58.08/9.43 ! [X0 : num,X1 : num] : (aa(num,num,bit1,X0) = aa(num,num,bit1,X1) <=> X0 = X1)),
% 58.08/9.43 inference(rectify,[],[f597])).
% 58.08/9.43 tff(f597,axiom,(
% 58.08/9.43 ! [X15 : num,X8 : num] : (aa(num,num,bit1,X15) = aa(num,num,bit1,X8) <=> X8 = X15)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_semiring__norm_I90_J)).
% 58.08/9.43 tff(f103307,plain,(
% 58.08/9.43 spl5880_4204),
% 58.08/9.43 inference(avatar_split_clause,[],[f59451,f103305])).
% 58.08/9.43 tff(f103305,plain,(
% 58.08/9.43 spl5880_4204 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK4187(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4204])])).
% 58.08/9.43 tff(f59451,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK4187(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42429])).
% 58.08/9.43 tff(f42429,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | (nil(X0) != sK4187(X0,X1) & member(list(X0),sK4187(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4187])],[f42427,f42428])).
% 58.08/9.43 tff(f42428,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (nil(X0) != sK4187(X0,X1) & member(list(X0),sK4187(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f42427,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(rectify,[],[f42426])).
% 58.08/9.43 tff(f42426,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f34949])).
% 58.08/9.43 tff(f34949,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.43 inference(ennf_transformation,[],[f26211])).
% 58.08/9.43 tff(f26211,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => nil(X0) = X2))),
% 58.08/9.43 inference(rectify,[],[f6767])).
% 58.08/9.43 tff(f6767,axiom,(
% 58.08/9.43 ! [X0 : $tType,X307 : list(list(X0))] : (concat(X0,X307) = nil(X0) <=> ! [X65 : list(X0)] : (member(list(X0),X65,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X307)) => nil(X0) = X65))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6766_Nil__eq__concat__conv)).
% 58.08/9.43 tff(f103300,plain,(
% 58.08/9.43 spl5880_4203),
% 58.08/9.43 inference(avatar_split_clause,[],[f59448,f103298])).
% 58.08/9.43 tff(f103298,plain,(
% 58.08/9.43 spl5880_4203 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK4186(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4203])])).
% 58.08/9.43 tff(f59448,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK4186(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42425])).
% 58.08/9.43 tff(f42425,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | (nil(X0) != sK4186(X0,X1) & member(list(X0),sK4186(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4186])],[f42423,f42424])).
% 58.08/9.43 tff(f42424,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (nil(X0) != sK4186(X0,X1) & member(list(X0),sK4186(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f42423,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(rectify,[],[f42422])).
% 58.08/9.43 tff(f42422,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | nil(X0) != concat(X0,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f34948])).
% 58.08/9.43 tff(f34948,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.08/9.43 inference(ennf_transformation,[],[f26210])).
% 58.08/9.43 tff(f26210,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => nil(X0) = X2))),
% 58.08/9.43 inference(rectify,[],[f6766])).
% 58.08/9.43 tff(f6766,axiom,(
% 58.08/9.43 ! [X0 : $tType,X307 : list(list(X0))] : (concat(X0,X307) = nil(X0) <=> ! [X65 : list(X0)] : (member(list(X0),X65,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X307)) => nil(X0) = X65))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6765_concat__eq__Nil__conv)).
% 58.08/9.43 tff(f103296,plain,(
% 58.08/9.43 spl5880_4202),
% 58.08/9.43 inference(avatar_split_clause,[],[f59374,f103294])).
% 58.08/9.43 tff(f103294,plain,(
% 58.08/9.43 spl5880_4202 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),sK4173(X0))))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4202])])).
% 58.08/9.43 tff(f59374,plain,(
% 58.08/9.43 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4172(X0)),sK4173(X0)))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42366])).
% 58.08/9.43 tff(f103292,plain,(
% 58.08/9.43 spl5880_4201),
% 58.08/9.43 inference(avatar_split_clause,[],[f59354,f103290])).
% 58.08/9.43 tff(f103290,plain,(
% 58.08/9.43 spl5880_4201 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),sK4166(X0))))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4201])])).
% 58.08/9.43 tff(f59354,plain,(
% 58.08/9.43 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK4165(X0)),sK4166(X0)))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42344])).
% 58.08/9.43 tff(f103288,plain,(
% 58.08/9.43 spl5880_4200),
% 58.08/9.43 inference(avatar_split_clause,[],[f59331,f103286])).
% 58.08/9.43 tff(f103286,plain,(
% 58.08/9.43 spl5880_4200 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4157(X0,X1),aa(nat,nat,suc,sK4156(X0,X1))) | ~sP2105(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4200])])).
% 58.08/9.43 tff(f59331,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4157(X0,X1),aa(nat,nat,suc,sK4156(X0,X1))) | ~sP2105(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42330])).
% 58.08/9.43 tff(f103284,plain,(
% 58.08/9.43 spl5880_4199),
% 58.08/9.43 inference(avatar_split_clause,[],[f59307,f103282])).
% 58.08/9.43 tff(f103282,plain,(
% 58.08/9.43 spl5880_4199 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4142(X0,X1),aa(nat,nat,suc,sK4141(X0,X1))) | ~sP2107(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4199])])).
% 58.08/9.43 tff(f59307,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4142(X0,X1),aa(nat,nat,suc,sK4141(X0,X1))) | ~sP2107(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42317])).
% 58.08/9.43 tff(f103280,plain,(
% 58.08/9.43 spl5880_4198),
% 58.08/9.43 inference(avatar_split_clause,[],[f58885,f103278])).
% 58.08/9.43 tff(f103278,plain,(
% 58.08/9.43 spl5880_4198 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG963(sK4094(X0,X1)),bG964(sK4095(X0,X1))) = X1 | ~sP2095(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4198])])).
% 58.08/9.43 tff(f58885,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG963(sK4094(X0,X1)),bG964(sK4095(X0,X1))) = X1 | ~sP2095(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42206])).
% 58.08/9.43 tff(f42206,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((iG968(X0,sK4095(X0,X1),sK4094(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG965(sK4094(X0,X1)),bG966(sK4095(X0,X1)))),X0))) & vEBT_Leaf(bG963(sK4094(X0,X1)),bG964(sK4095(X0,X1))) = X1) | ~sP2095(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4094,sK4095])],[f42204,f42205])).
% 58.08/9.43 tff(f42205,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG968(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG965(X2),bG966(X3))),X0))) & vEBT_Leaf(bG963(X2),bG964(X3)) = X1) => (iG968(X0,sK4095(X0,X1),sK4094(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG965(sK4094(X0,X1)),bG966(sK4095(X0,X1)))),X0))) & vEBT_Leaf(bG963(sK4094(X0,X1)),bG964(sK4095(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f42204,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG968(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG965(X2),bG966(X3))),X0))) & vEBT_Leaf(bG963(X2),bG964(X3)) = X1) | ~sP2095(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f42203])).
% 58.08/9.43 tff(f42203,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG968(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG965(X2),bG966(X3))),X1))) & vEBT_Leaf(bG963(X2),bG964(X3)) = X0) | ~sP2095(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37353])).
% 58.08/9.43 tff(f37353,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG968(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG965(X2),bG966(X3))),X1))) & vEBT_Leaf(bG963(X2),bG964(X3)) = X0) | ~sP2095(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2095])])).
% 58.08/9.43 tff(f103276,plain,(
% 58.08/9.43 spl5880_4197),
% 58.08/9.43 inference(avatar_split_clause,[],[f58821,f103274])).
% 58.08/9.43 tff(f103274,plain,(
% 58.08/9.43 spl5880_4197 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (eventually(nat,X1,at_top(nat)) | ($true != aa(nat,$o,X1,sK4038(X0,X1))))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4197])])).
% 58.08/9.43 tff(f58821,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : fun(nat,$o)] : (eventually(nat,X1,at_top(nat)) | ($true != aa(nat,$o,X1,sK4038(X0,X1)))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42115])).
% 58.08/9.43 tff(f42115,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : fun(nat,$o)] : (eventually(nat,X1,at_top(nat)) | (($true != aa(nat,$o,X1,sK4038(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK4038(X0,X1)))))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4038])],[f34424,f42114])).
% 58.08/9.43 tff(f42114,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X2))) => (($true != aa(nat,$o,X1,sK4038(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),sK4038(X0,X1)))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f34424,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : fun(nat,$o)] : (eventually(nat,X1,at_top(nat)) | ? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X2))))),
% 58.08/9.43 inference(ennf_transformation,[],[f15843])).
% 58.08/9.43 tff(f15843,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X2)) => ($true = aa(nat,$o,X1,X2))) => eventually(nat,X1,at_top(nat)))),
% 58.08/9.43 inference(fool_elimination,[],[f15842])).
% 58.08/9.43 tff(f15842,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X2) => aa(nat,$o,X1,X2)) => eventually(nat,X1,at_top(nat)))),
% 58.08/9.43 inference(rectify,[],[f6463])).
% 58.08/9.43 tff(f6463,axiom,(
% 58.08/9.43 ! [X17 : nat,X26 : fun(nat,$o)] : (! [X29 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X29) => aa(nat,$o,X26,X29)) => eventually(nat,X26,at_top(nat)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6462_eventually__sequentiallyI)).
% 58.08/9.43 tff(f103272,plain,(
% 58.08/9.43 spl5880_4196),
% 58.08/9.43 inference(avatar_split_clause,[],[f58789,f103270])).
% 58.08/9.43 tff(f103270,plain,(
% 58.08/9.43 spl5880_4196 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG941(sK4020(X0,X1)),bG942(sK4021(X0,X1))) = X1 | ~sP2089(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4196])])).
% 58.08/9.43 tff(f58789,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG941(sK4020(X0,X1)),bG942(sK4021(X0,X1))) = X1 | ~sP2089(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f42088])).
% 58.08/9.43 tff(f42088,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG946(X0,sK4021(X0,X1),sK4020(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG943(sK4020(X0,X1)),bG944(sK4021(X0,X1)))),X0))) & vEBT_Leaf(bG941(sK4020(X0,X1)),bG942(sK4021(X0,X1))) = X1) | ~sP2089(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4020,sK4021])],[f42086,f42087])).
% 58.08/9.43 tff(f42087,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG946(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG943(X2),bG944(X3))),X0))) & vEBT_Leaf(bG941(X2),bG942(X3)) = X1) => (~iG946(X0,sK4021(X0,X1),sK4020(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG943(sK4020(X0,X1)),bG944(sK4021(X0,X1)))),X0))) & vEBT_Leaf(bG941(sK4020(X0,X1)),bG942(sK4021(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f42086,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG946(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG943(X2),bG944(X3))),X0))) & vEBT_Leaf(bG941(X2),bG942(X3)) = X1) | ~sP2089(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f42085])).
% 58.08/9.43 tff(f42085,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG946(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG943(X2),bG944(X3))),X1))) & vEBT_Leaf(bG941(X2),bG942(X3)) = X0) | ~sP2089(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37343])).
% 58.08/9.43 tff(f37343,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG946(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG943(X2),bG944(X3))),X1))) & vEBT_Leaf(bG941(X2),bG942(X3)) = X0) | ~sP2089(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2089])])).
% 58.08/9.43 tff(f103268,plain,(
% 58.08/9.43 spl5880_4195),
% 58.08/9.43 inference(avatar_split_clause,[],[f58456,f103266])).
% 58.08/9.43 tff(f103266,plain,(
% 58.08/9.43 spl5880_4195 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X4 : filter(X1),X3 : fun(X1,X0)] : (real_V3181309239436604168linear(X1,X0,X3) | ~has_derivative(X1,X0,X2,X3,X4) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4195])])).
% 58.08/9.43 tff(f58456,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (real_V3181309239436604168linear(X1,X0,X3) | ~has_derivative(X1,X0,X2,X3,X4) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41844])).
% 58.08/9.43 tff(f41844,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : ((has_derivative(X1,X0,X2,X3,X4) | ~filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) | ~real_V3181309239436604168linear(X1,X0,X3)) & ((filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3)) | ~has_derivative(X1,X0,X2,X3,X4))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.08/9.43 inference(flattening,[],[f41843])).
% 58.08/9.43 tff(f41843,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : ((has_derivative(X1,X0,X2,X3,X4) | (~filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) | ~real_V3181309239436604168linear(X1,X0,X3))) & ((filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3)) | ~has_derivative(X1,X0,X2,X3,X4))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.08/9.43 inference(nnf_transformation,[],[f34090])).
% 58.08/9.43 tff(f34090,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.08/9.43 inference(flattening,[],[f34089])).
% 58.08/9.43 tff(f34089,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 58.08/9.43 inference(ennf_transformation,[],[f26097])).
% 58.08/9.43 tff(f26097,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_vh(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))))),
% 58.08/9.43 inference(rectify,[],[f6353])).
% 58.08/9.43 tff(f6353,axiom,(
% 58.08/9.43 ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X30 : fun(X0,X1),X281 : fun(X0,X1),X214 : filter(X0)] : (has_derivative(X0,X1,X30,X281,X214) <=> (filterlim(X0,X1,aa(filter(X0),fun(X0,X1),aa(fun(X0,X1),fun(filter(X0),fun(X0,X1)),aTP_Lamp_vh(fun(X0,X1),fun(fun(X0,X1),fun(filter(X0),fun(X0,X1))),X30),X281),X214),topolo7230453075368039082e_nhds(X1,zero_zero(X1)),X214) & real_V3181309239436604168linear(X0,X1,X281))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6352_has__derivative__def)).
% 58.08/9.43 tff(f103264,plain,(
% 58.08/9.43 spl5880_4194),
% 58.08/9.43 inference(avatar_split_clause,[],[f58309,f103262])).
% 58.08/9.43 tff(f103262,plain,(
% 58.08/9.43 spl5880_4194 <=> ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4194])])).
% 58.08/9.43 tff(f58309,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f33893])).
% 58.08/9.43 tff(f33893,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1))),
% 58.08/9.43 inference(ennf_transformation,[],[f26016])).
% 58.08/9.43 tff(f26016,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,suc,X1) => X0 = X1)),
% 58.08/9.43 inference(rectify,[],[f101])).
% 58.08/9.43 tff(f101,axiom,(
% 58.08/9.43 ! [X9 : nat,X18 : nat] : (aa(nat,nat,suc,X9) = aa(nat,nat,suc,X18) => X9 = X18)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_Suc__inject)).
% 58.08/9.43 tff(f103257,plain,(
% 58.08/9.43 spl5880_4193),
% 58.08/9.43 inference(avatar_split_clause,[],[f58294,f103255])).
% 58.08/9.43 tff(f103255,plain,(
% 58.08/9.43 spl5880_4193 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG919(sK3847(X0,X1)),bG920(sK3848(X0,X1))) = X1 | ~sP2064(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4193])])).
% 58.08/9.43 tff(f58294,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG919(sK3847(X0,X1)),bG920(sK3848(X0,X1))) = X1 | ~sP2064(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41772])).
% 58.08/9.43 tff(f41772,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(sK3847(X0,X1)),bG922(sK3848(X0,X1))))) & zero_zero(nat) = X0 & vEBT_Leaf(bG919(sK3847(X0,X1)),bG920(sK3848(X0,X1))) = X1) | ~sP2064(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3847,sK3848])],[f41770,f41771])).
% 58.08/9.43 tff(f41771,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(X2),bG922(X3)))) & zero_zero(nat) = X0 & vEBT_Leaf(bG919(X2),bG920(X3)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(sK3847(X0,X1)),bG922(sK3848(X0,X1))))) & zero_zero(nat) = X0 & vEBT_Leaf(bG919(sK3847(X0,X1)),bG920(sK3848(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41770,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(X2),bG922(X3)))) & zero_zero(nat) = X0 & vEBT_Leaf(bG919(X2),bG920(X3)) = X1) | ~sP2064(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41769])).
% 58.08/9.43 tff(f41769,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(X2),bG922(X3)))) & zero_zero(nat) = X1 & vEBT_Leaf(bG919(X2),bG920(X3)) = X0) | ~sP2064(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37305])).
% 58.08/9.43 tff(f37305,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_VEBT_height_rel),vEBT_Leaf(bG921(X2),bG922(X3)))) & zero_zero(nat) = X1 & vEBT_Leaf(bG919(X2),bG920(X3)) = X0) | ~sP2064(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2064])])).
% 58.08/9.43 tff(f103253,plain,(
% 58.08/9.43 spl5880_4192),
% 58.08/9.43 inference(avatar_split_clause,[],[f58261,f103251])).
% 58.08/9.43 tff(f103251,plain,(
% 58.08/9.43 spl5880_4192 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG911(sK3830(X0,X1)),bG912(sK3831(X0,X1))) = X1 | ~sP2062(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4192])])).
% 58.08/9.43 tff(f58261,plain,(
% 58.08/9.43 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG911(sK3830(X0,X1)),bG912(sK3831(X0,X1))) = X1 | ~sP2062(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41749])).
% 58.08/9.43 tff(f41749,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(sK3830(X0,X1)),bG916(sK3831(X0,X1))))) & iG914(sK3830(X0,X1),sK3831(X0,X1)) = X0 & vEBT_Leaf(bG911(sK3830(X0,X1)),bG912(sK3831(X0,X1))) = X1) | ~sP2062(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3830,sK3831])],[f41747,f41748])).
% 58.08/9.43 tff(f41748,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(X2),bG916(X3)))) & iG914(X2,X3) = X0 & vEBT_Leaf(bG911(X2),bG912(X3)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(sK3830(X0,X1)),bG916(sK3831(X0,X1))))) & iG914(sK3830(X0,X1),sK3831(X0,X1)) = X0 & vEBT_Leaf(bG911(sK3830(X0,X1)),bG912(sK3831(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41747,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(X2),bG916(X3)))) & iG914(X2,X3) = X0 & vEBT_Leaf(bG911(X2),bG912(X3)) = X1) | ~sP2062(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41746])).
% 58.08/9.43 tff(f41746,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(X2),bG916(X3)))) & iG914(X2,X3) = X1 & vEBT_Leaf(bG911(X2),bG912(X3)) = X0) | ~sP2062(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37302])).
% 58.08/9.43 tff(f37302,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Leaf(bG915(X2),bG916(X3)))) & iG914(X2,X3) = X1 & vEBT_Leaf(bG911(X2),bG912(X3)) = X0) | ~sP2062(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2062])])).
% 58.08/9.43 tff(f103249,plain,(
% 58.08/9.43 spl5880_4191),
% 58.08/9.43 inference(avatar_split_clause,[],[f58252,f103247])).
% 58.08/9.43 tff(f103247,plain,(
% 58.08/9.43 spl5880_4191 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG907(sK3817(X0,X1)),bG908(sK3818(X0,X1))) = X1 | ~sP2061(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4191])])).
% 58.08/9.43 tff(f58252,plain,(
% 58.08/9.43 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG907(sK3817(X0,X1)),bG908(sK3818(X0,X1))) = X1 | ~sP2061(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41736])).
% 58.08/9.43 tff(f41736,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((iG910(sK3817(X0,X1),sK3818(X0,X1)) = X0 & vEBT_Leaf(bG907(sK3817(X0,X1)),bG908(sK3818(X0,X1))) = X1) | ~sP2061(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3817,sK3818])],[f41734,f41735])).
% 58.08/9.43 tff(f41735,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG910(X2,X3) = X0 & vEBT_Leaf(bG907(X2),bG908(X3)) = X1) => (iG910(sK3817(X0,X1),sK3818(X0,X1)) = X0 & vEBT_Leaf(bG907(sK3817(X0,X1)),bG908(sK3818(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41734,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG910(X2,X3) = X0 & vEBT_Leaf(bG907(X2),bG908(X3)) = X1) | ~sP2061(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41733])).
% 58.08/9.43 tff(f41733,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG910(X2,X3) = X1 & vEBT_Leaf(bG907(X2),bG908(X3)) = X0) | ~sP2061(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37300])).
% 58.08/9.43 tff(f37300,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG910(X2,X3) = X1 & vEBT_Leaf(bG907(X2),bG908(X3)) = X0) | ~sP2061(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2061])])).
% 58.08/9.43 tff(f103245,plain,(
% 58.08/9.43 spl5880_4190),
% 58.08/9.43 inference(avatar_split_clause,[],[f58246,f103243])).
% 58.08/9.43 tff(f103243,plain,(
% 58.08/9.43 spl5880_4190 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG901(sK3810(X0,X1)),bG902(sK3811(X0,X1))) = X1 | ~sP2059(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4190])])).
% 58.08/9.43 tff(f58246,plain,(
% 58.08/9.43 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG901(sK3810(X0,X1)),bG902(sK3811(X0,X1))) = X1 | ~sP2059(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41729])).
% 58.08/9.43 tff(f41729,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(sK3810(X0,X1)),bG906(sK3811(X0,X1))))) & iG904(sK3811(X0,X1),sK3810(X0,X1)) = X0 & vEBT_Leaf(bG901(sK3810(X0,X1)),bG902(sK3811(X0,X1))) = X1) | ~sP2059(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3810,sK3811])],[f41727,f41728])).
% 58.08/9.43 tff(f41728,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(X2),bG906(X3)))) & iG904(X3,X2) = X0 & vEBT_Leaf(bG901(X2),bG902(X3)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(sK3810(X0,X1)),bG906(sK3811(X0,X1))))) & iG904(sK3811(X0,X1),sK3810(X0,X1)) = X0 & vEBT_Leaf(bG901(sK3810(X0,X1)),bG902(sK3811(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41727,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(X2),bG906(X3)))) & iG904(X3,X2) = X0 & vEBT_Leaf(bG901(X2),bG902(X3)) = X1) | ~sP2059(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41726])).
% 58.08/9.43 tff(f41726,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(X2),bG906(X3)))) & iG904(X3,X2) = X1 & vEBT_Leaf(bG901(X2),bG902(X3)) = X0) | ~sP2059(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37297])).
% 58.08/9.43 tff(f37297,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Leaf(bG905(X2),bG906(X3)))) & iG904(X3,X2) = X1 & vEBT_Leaf(bG901(X2),bG902(X3)) = X0) | ~sP2059(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2059])])).
% 58.08/9.43 tff(f103241,plain,(
% 58.08/9.43 spl5880_4189),
% 58.08/9.43 inference(avatar_split_clause,[],[f58237,f103239])).
% 58.08/9.43 tff(f103239,plain,(
% 58.08/9.43 spl5880_4189 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG897(sK3797(X0,X1)),bG898(sK3798(X0,X1))) = X1 | ~sP2058(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4189])])).
% 58.08/9.43 tff(f58237,plain,(
% 58.08/9.43 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (vEBT_Leaf(bG897(sK3797(X0,X1)),bG898(sK3798(X0,X1))) = X1 | ~sP2058(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41716])).
% 58.08/9.43 tff(f41716,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((iG900(sK3798(X0,X1),sK3797(X0,X1)) = X0 & vEBT_Leaf(bG897(sK3797(X0,X1)),bG898(sK3798(X0,X1))) = X1) | ~sP2058(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3797,sK3798])],[f41714,f41715])).
% 58.08/9.43 tff(f41715,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG900(X3,X2) = X0 & vEBT_Leaf(bG897(X2),bG898(X3)) = X1) => (iG900(sK3798(X0,X1),sK3797(X0,X1)) = X0 & vEBT_Leaf(bG897(sK3797(X0,X1)),bG898(sK3798(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41714,plain,(
% 58.08/9.43 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG900(X3,X2) = X0 & vEBT_Leaf(bG897(X2),bG898(X3)) = X1) | ~sP2058(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41713])).
% 58.08/9.43 tff(f41713,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG900(X3,X2) = X1 & vEBT_Leaf(bG897(X2),bG898(X3)) = X0) | ~sP2058(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37295])).
% 58.08/9.43 tff(f37295,plain,(
% 58.08/9.43 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG900(X3,X2) = X1 & vEBT_Leaf(bG897(X2),bG898(X3)) = X0) | ~sP2058(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2058])])).
% 58.08/9.43 tff(f103237,plain,(
% 58.08/9.43 spl5880_4188),
% 58.08/9.43 inference(avatar_split_clause,[],[f58197,f103235])).
% 58.08/9.43 tff(f103235,plain,(
% 58.08/9.43 spl5880_4188 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG892(sK3778(X0,X1)),bG893(sK3779(X0,X1))) = X1 | ~sP2055(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4188])])).
% 58.08/9.43 tff(f58197,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG892(sK3778(X0,X1)),bG893(sK3779(X0,X1))) = X1 | ~sP2055(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41685])).
% 58.08/9.43 tff(f41685,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(sK3778(X0,X1)),bG896(sK3779(X0,X1))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(sK3778(X0,X1))) = X0 & vEBT_Leaf(bG892(sK3778(X0,X1)),bG893(sK3779(X0,X1))) = X1) | ~sP2055(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3778,sK3779])],[f41683,f41684])).
% 58.08/9.43 tff(f41684,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(X2),bG896(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(X2)) = X0 & vEBT_Leaf(bG892(X2),bG893(X3)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(sK3778(X0,X1)),bG896(sK3779(X0,X1))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(sK3778(X0,X1))) = X0 & vEBT_Leaf(bG892(sK3778(X0,X1)),bG893(sK3779(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41683,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(X2),bG896(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(X2)) = X0 & vEBT_Leaf(bG892(X2),bG893(X3)) = X1) | ~sP2055(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41682])).
% 58.08/9.43 tff(f41682,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(X2),bG896(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(X2)) = X1 & vEBT_Leaf(bG892(X2),bG893(X3)) = X0) | ~sP2055(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37290])).
% 58.08/9.43 tff(f37290,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Leaf(bG895(X2),bG896(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG894(X2)) = X1 & vEBT_Leaf(bG892(X2),bG893(X3)) = X0) | ~sP2055(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2055])])).
% 58.08/9.43 tff(f103233,plain,(
% 58.08/9.43 spl5880_4187),
% 58.08/9.43 inference(avatar_split_clause,[],[f58188,f103231])).
% 58.08/9.43 tff(f103231,plain,(
% 58.08/9.43 spl5880_4187 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(sK3766(X0,X1))) = X1 | ~sP2054(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4187])])).
% 58.08/9.43 tff(f58188,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(sK3766(X0,X1))) = X1 | ~sP2054(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41673])).
% 58.08/9.43 tff(f41673,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(sK3765(X0,X1))) = X0 & vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(sK3766(X0,X1))) = X1) | ~sP2054(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3765,sK3766])],[f41670,f41672,f41671])).
% 58.08/9.43 tff(f41671,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X0 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X1) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(sK3765(X0,X1))) = X0 & ? [X3 : $o] : vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(X3)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41672,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X3 : $o] : vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(X3)) = X1 => vEBT_Leaf(bG889(sK3765(X0,X1)),bG890(sK3766(X0,X1))) = X1)),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41670,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X0 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X1) | ~sP2054(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41669])).
% 58.08/9.43 tff(f41669,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X1 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X0) | ~sP2054(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37288])).
% 58.08/9.43 tff(f37288,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X1 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X0) | ~sP2054(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2054])])).
% 58.08/9.43 tff(f103229,plain,(
% 58.08/9.43 spl5880_4186),
% 58.08/9.43 inference(avatar_split_clause,[],[f58136,f103227])).
% 58.08/9.43 tff(f103227,plain,(
% 58.08/9.43 spl5880_4186 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG872(sK3736(X0,X1)),bG873(sK3737(X0,X1))) = X1 | ~sP2041(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4186])])).
% 58.08/9.43 tff(f58136,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG872(sK3736(X0,X1)),bG873(sK3737(X0,X1))) = X1 | ~sP2041(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41620])).
% 58.08/9.43 tff(f41620,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(sK3736(X0,X1)),bG876(sK3737(X0,X1))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(sK3737(X0,X1))) = X0 & vEBT_Leaf(bG872(sK3736(X0,X1)),bG873(sK3737(X0,X1))) = X1) | ~sP2041(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3736,sK3737])],[f41618,f41619])).
% 58.08/9.43 tff(f41619,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(X2),bG876(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(X3)) = X0 & vEBT_Leaf(bG872(X2),bG873(X3)) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(sK3736(X0,X1)),bG876(sK3737(X0,X1))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(sK3737(X0,X1))) = X0 & vEBT_Leaf(bG872(sK3736(X0,X1)),bG873(sK3737(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41618,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(X2),bG876(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(X3)) = X0 & vEBT_Leaf(bG872(X2),bG873(X3)) = X1) | ~sP2041(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41617])).
% 58.08/9.43 tff(f41617,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(X2),bG876(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(X3)) = X1 & vEBT_Leaf(bG872(X2),bG873(X3)) = X0) | ~sP2041(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37269])).
% 58.08/9.43 tff(f37269,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Leaf(bG875(X2),bG876(X3)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG874(X3)) = X1 & vEBT_Leaf(bG872(X2),bG873(X3)) = X0) | ~sP2041(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2041])])).
% 58.08/9.43 tff(f103225,plain,(
% 58.08/9.43 spl5880_4185),
% 58.08/9.43 inference(avatar_split_clause,[],[f58127,f103223])).
% 58.08/9.43 tff(f103223,plain,(
% 58.08/9.43 spl5880_4185 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG869(sK3723(X0,X1)),bG870(sK3724(X0,X1))) = X1 | ~sP2040(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4185])])).
% 58.08/9.43 tff(f58127,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG869(sK3723(X0,X1)),bG870(sK3724(X0,X1))) = X1 | ~sP2040(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41608])).
% 58.08/9.43 tff(f41608,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(sK3724(X0,X1))) = X0 & vEBT_Leaf(bG869(sK3723(X0,X1)),bG870(sK3724(X0,X1))) = X1) | ~sP2040(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3723,sK3724])],[f41606,f41607])).
% 58.08/9.43 tff(f41607,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X0 & vEBT_Leaf(bG869(X2),bG870(X3)) = X1) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(sK3724(X0,X1))) = X0 & vEBT_Leaf(bG869(sK3723(X0,X1)),bG870(sK3724(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41606,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X0 & vEBT_Leaf(bG869(X2),bG870(X3)) = X1) | ~sP2040(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41605])).
% 58.08/9.43 tff(f41605,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X1 & vEBT_Leaf(bG869(X2),bG870(X3)) = X0) | ~sP2040(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37267])).
% 58.08/9.43 tff(f37267,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X1 & vEBT_Leaf(bG869(X2),bG870(X3)) = X0) | ~sP2040(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2040])])).
% 58.08/9.43 tff(f103221,plain,(
% 58.08/9.43 spl5880_4184),
% 58.08/9.43 inference(avatar_split_clause,[],[f58054,f103219])).
% 58.08/9.43 tff(f103219,plain,(
% 58.08/9.43 spl5880_4184 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3695(X0,X1) = aa(nat,nat,suc,sK3693(X0,X1)) | ~sP2037(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4184])])).
% 58.08/9.43 tff(f58054,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3695(X0,X1) = aa(nat,nat,suc,sK3693(X0,X1)) | ~sP2037(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41562])).
% 58.08/9.43 tff(f41562,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3692(X0,X1)))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3694(X0,X1)),X9)) & sK3696(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3693(X0,X1)),sK3695(X0,X1)) & sK3695(X0,X1) = aa(nat,nat,suc,sK3693(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3692(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3695(X0,X1)) & vEBT_invar_vebt(sK3694(X0,X1),sK3695(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK3693(X0,X1)) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3692(X0,X1)))) & sK3696(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3696(X0,X1),sK3692(X0,X1),sK3694(X0,X1)) = X1) | ~sP2037(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3692,sK3693,sK3694,sK3695,sK3696])],[f41560,f41561])).
% 58.08/9.43 tff(f41561,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) => (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3692(X0,X1)))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3694(X0,X1)),X9)) & sK3696(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3693(X0,X1)),sK3695(X0,X1)) & sK3695(X0,X1) = aa(nat,nat,suc,sK3693(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3692(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3695(X0,X1)) & vEBT_invar_vebt(sK3694(X0,X1),sK3695(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK3693(X0,X1)) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3692(X0,X1)))) & sK3696(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3696(X0,X1),sK3692(X0,X1),sK3694(X0,X1)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41560,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) | ~sP2037(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41559])).
% 58.08/9.43 tff(f41559,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : list(vEBT_VEBT),X14 : nat,X15 : vEBT_VEBT,X16 : nat,X17 : nat] : (! [X20 : vEBT_VEBT] : (! [X21 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X20),X21)) | ~member(vEBT_VEBT,X20,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13))) & ! [X19 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X15),X19)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X14),X16) = X17 & aa(nat,nat,suc,X14) = X16 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X16) & vEBT_invar_vebt(X15,X16) & ! [X18 : vEBT_VEBT] : (vEBT_invar_vebt(X18,X14) | ~member(vEBT_VEBT,X18,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13))) & X1 = X17 & vEBT_Node(none(product_prod(nat,nat)),X17,X13,X15) = X0) | ~sP2037(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37263])).
% 58.08/9.43 tff(f37263,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : list(vEBT_VEBT),X14 : nat,X15 : vEBT_VEBT,X16 : nat,X17 : nat] : (! [X20 : vEBT_VEBT] : (! [X21 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X20),X21)) | ~member(vEBT_VEBT,X20,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13))) & ! [X19 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X15),X19)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X14),X16) = X17 & aa(nat,nat,suc,X14) = X16 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X16) & vEBT_invar_vebt(X15,X16) & ! [X18 : vEBT_VEBT] : (vEBT_invar_vebt(X18,X14) | ~member(vEBT_VEBT,X18,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13))) & X1 = X17 & vEBT_Node(none(product_prod(nat,nat)),X17,X13,X15) = X0) | ~sP2037(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2037])])).
% 58.08/9.43 tff(f103214,plain,(
% 58.08/9.43 spl5880_4183),
% 58.08/9.43 inference(avatar_split_clause,[],[f58030,f103212])).
% 58.08/9.43 tff(f103212,plain,(
% 58.08/9.43 spl5880_4183 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3681(X0,X1) = aa(nat,nat,suc,sK3679(X0,X1)) | ~sP2039(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4183])])).
% 58.08/9.43 tff(f58030,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3681(X0,X1) = aa(nat,nat,suc,sK3679(X0,X1)) | ~sP2039(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41554])).
% 58.08/9.43 tff(f41554,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2034(sK3684(X0,X1),sK3683(X0,X1),sK3679(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3684(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3682(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3683(X0,X1)),sK3684(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3678(X0,X1)))) | sK3683(X0,X1) != sK3684(X0,X1)) & sP2035(sK3680(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) & sK3682(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3679(X0,X1)),sK3681(X0,X1)) & sK3681(X0,X1) = aa(nat,nat,suc,sK3679(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3678(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3681(X0,X1)) & vEBT_invar_vebt(sK3680(X0,X1),sK3681(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK3679(X0,X1)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3678(X0,X1)))) & sK3682(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3683(X0,X1)),sK3684(X0,X1))),sK3682(X0,X1),sK3678(X0,X1),sK3680(X0,X1)) = X1) | ~sP2039(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3678,sK3679,sK3680,sK3681,sK3682,sK3683,sK3684])],[f41552,f41553])).
% 58.08/9.43 tff(f41553,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP2034(X8,X7,X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X7 != X8) & sP2035(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) => (sP2034(sK3684(X0,X1),sK3683(X0,X1),sK3679(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3684(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3682(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3683(X0,X1)),sK3684(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3678(X0,X1)))) | sK3683(X0,X1) != sK3684(X0,X1)) & sP2035(sK3680(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) & sK3682(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3679(X0,X1)),sK3681(X0,X1)) & sK3681(X0,X1) = aa(nat,nat,suc,sK3679(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3678(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3681(X0,X1)) & vEBT_invar_vebt(sK3680(X0,X1),sK3681(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK3679(X0,X1)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3678(X0,X1)))) & sK3682(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3683(X0,X1)),sK3684(X0,X1))),sK3682(X0,X1),sK3678(X0,X1),sK3680(X0,X1)) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41552,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP2034(X8,X7,X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X7 != X8) & sP2035(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) | ~sP2039(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41551])).
% 58.08/9.43 tff(f41551,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP2034(X42,X41,X37,X36,X39) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X41),X42) = $true) & (! [X46 : vEBT_VEBT] : (! [X47 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X46),X47)) | ~member(vEBT_VEBT,X46,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36))) | X41 != X42) & sP2035(X38,X36,X39) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X37),X39) = X40 & aa(nat,nat,suc,X37) = X39 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X36) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X39) & vEBT_invar_vebt(X38,X39) & ! [X43 : vEBT_VEBT] : (vEBT_invar_vebt(X43,X37) | ~member(vEBT_VEBT,X43,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36))) & X1 = X40 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X41),X42)),X40,X36,X38) = X0) | ~sP2039(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37265])).
% 58.08/9.43 tff(f37265,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP2034(X42,X41,X37,X36,X39) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X41),X42) = $true) & (! [X46 : vEBT_VEBT] : (! [X47 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X46),X47)) | ~member(vEBT_VEBT,X46,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36))) | X41 != X42) & sP2035(X38,X36,X39) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X37),X39) = X40 & aa(nat,nat,suc,X37) = X39 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X36) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X39) & vEBT_invar_vebt(X38,X39) & ! [X43 : vEBT_VEBT] : (vEBT_invar_vebt(X43,X37) | ~member(vEBT_VEBT,X43,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36))) & X1 = X40 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X41),X42)),X40,X36,X38) = X0) | ~sP2039(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2039])])).
% 58.08/9.43 tff(f103210,plain,(
% 58.08/9.43 spl5880_4182),
% 58.08/9.43 inference(avatar_split_clause,[],[f57995,f103208])).
% 58.08/9.43 tff(f103208,plain,(
% 58.08/9.43 spl5880_4182 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG846(sK3646(X0,X1)),bG847(sK3647(X0,X1))) = X1 | ~sP2028(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4182])])).
% 58.08/9.43 tff(f57995,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG846(sK3646(X0,X1)),bG847(sK3647(X0,X1))) = X1 | ~sP2028(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41523])).
% 58.08/9.43 tff(f41523,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((iG851(X0,sK3647(X0,X1),sK3646(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG848(sK3646(X0,X1)),bG849(sK3647(X0,X1)))),X0))) & vEBT_Leaf(bG846(sK3646(X0,X1)),bG847(sK3647(X0,X1))) = X1) | ~sP2028(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3646,sK3647])],[f41521,f41522])).
% 58.08/9.43 tff(f41522,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG851(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG848(X2),bG849(X3))),X0))) & vEBT_Leaf(bG846(X2),bG847(X3)) = X1) => (iG851(X0,sK3647(X0,X1),sK3646(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG848(sK3646(X0,X1)),bG849(sK3647(X0,X1)))),X0))) & vEBT_Leaf(bG846(sK3646(X0,X1)),bG847(sK3647(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41521,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG851(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG848(X2),bG849(X3))),X0))) & vEBT_Leaf(bG846(X2),bG847(X3)) = X1) | ~sP2028(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41520])).
% 58.08/9.43 tff(f41520,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG851(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG848(X2),bG849(X3))),X1))) & vEBT_Leaf(bG846(X2),bG847(X3)) = X0) | ~sP2028(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37251])).
% 58.08/9.43 tff(f37251,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (iG851(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG848(X2),bG849(X3))),X1))) & vEBT_Leaf(bG846(X2),bG847(X3)) = X0) | ~sP2028(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2028])])).
% 58.08/9.43 tff(f103206,plain,(
% 58.08/9.43 spl5880_4181),
% 58.08/9.43 inference(avatar_split_clause,[],[f57930,f103204])).
% 58.08/9.43 tff(f103204,plain,(
% 58.08/9.43 spl5880_4181 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG806(sK3583(X0,X1)),bG807(sK3584(X0,X1))) = X1 | ~sP2019(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4181])])).
% 58.08/9.43 tff(f57930,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG806(sK3583(X0,X1)),bG807(sK3584(X0,X1))) = X1 | ~sP2019(X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41451])).
% 58.08/9.43 tff(f41451,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG811(X0,sK3584(X0,X1),sK3583(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG808(sK3583(X0,X1)),bG809(sK3584(X0,X1)))),X0))) & vEBT_Leaf(bG806(sK3583(X0,X1)),bG807(sK3584(X0,X1))) = X1) | ~sP2019(X0,X1))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3583,sK3584])],[f41449,f41450])).
% 58.08/9.43 tff(f41450,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG811(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(bG808(X2),bG809(X3))),X0))) & vEBT_Leaf(bG806(X2),bG807(X3)) = X1) => (~iG811(X0,sK3584(X0,X1),sK3583(X0,X1)) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG808(sK3583(X0,X1)),bG809(sK3584(X0,X1)))),X0))) & vEBT_Leaf(bG806(sK3583(X0,X1)),bG807(sK3584(X0,X1))) = X1))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41449,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG811(X0,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG808(X2),bG809(X3))),X0))) & vEBT_Leaf(bG806(X2),bG807(X3)) = X1) | ~sP2019(X0,X1))),
% 58.08/9.43 inference(rectify,[],[f41448])).
% 58.08/9.43 tff(f41448,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG811(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG808(X2),bG809(X3))),X1))) & vEBT_Leaf(bG806(X2),bG807(X3)) = X0) | ~sP2019(X1,X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37237])).
% 58.08/9.43 tff(f37237,plain,(
% 58.08/9.43 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : (~iG811(X1,X3,X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(bG808(X2),bG809(X3))),X1))) & vEBT_Leaf(bG806(X2),bG807(X3)) = X0) | ~sP2019(X1,X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2019])])).
% 58.08/9.43 tff(f103202,plain,(
% 58.08/9.43 spl5880_4180),
% 58.08/9.43 inference(avatar_split_clause,[],[f57815,f103200])).
% 58.08/9.43 tff(f103200,plain,(
% 58.08/9.43 spl5880_4180 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_lb(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4180])])).
% 58.08/9.43 tff(f57815,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_lb(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f33625])).
% 58.08/9.43 tff(f33625,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_lb(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 58.08/9.43 inference(ennf_transformation,[],[f25896])).
% 58.08/9.43 tff(f25896,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (semiring_1(X1) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_lb(X1,fun(X0,X1),X2),X3) = X2)),
% 58.08/9.43 inference(rectify,[],[f9020])).
% 58.08/9.43 tff(f9020,axiom,(
% 58.08/9.43 ! [X1 : $tType,X0 : $tType] : (semiring_1(X0) => ! [X105 : X0,X448 : X1] : aa(X1,X0,aTP_Lamp_lb(X0,fun(X1,X0),X105),X448) = X105)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9019_ATP_Olambda__839)).
% 58.08/9.43 tff(f103198,plain,(
% 58.08/9.43 spl5880_4179),
% 58.08/9.43 inference(avatar_split_clause,[],[f57716,f103196])).
% 58.08/9.43 tff(f103196,plain,(
% 58.08/9.43 spl5880_4179 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (member(set(X1),sK3505(X1,X2,X0,X3),X3) | ~sP2012(X1,X2,X0,X3))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4179])])).
% 58.08/9.43 tff(f57716,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : $tType,X3 : set(set(X1)),X0 : fun(X1,X2)] : (member(set(X1),sK3505(X1,X2,X0,X3),X3) | ~sP2012(X1,X2,X0,X3)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41294])).
% 58.08/9.43 tff(f103194,plain,(
% 58.08/9.43 spl5880_4178),
% 58.08/9.43 inference(avatar_split_clause,[],[f57715,f103192])).
% 58.08/9.43 tff(f103192,plain,(
% 58.08/9.43 spl5880_4178 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (member(set(X1),sK3504(X1,X2,X0,X3),X3) | ~sP2012(X1,X2,X0,X3))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4178])])).
% 58.08/9.43 tff(f57715,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : $tType,X3 : set(set(X1)),X0 : fun(X1,X2)] : (member(set(X1),sK3504(X1,X2,X0,X3),X3) | ~sP2012(X1,X2,X0,X3)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41294])).
% 58.08/9.43 tff(f103190,plain,(
% 58.08/9.43 spl5880_4177),
% 58.08/9.43 inference(avatar_split_clause,[],[f57704,f103188])).
% 58.08/9.43 tff(f103188,plain,(
% 58.08/9.43 spl5880_4177 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_la(X1,fun(X0,X1),X2),X3) = X2 | ~comm_monoid_mult(X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4177])])).
% 58.08/9.43 tff(f57704,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_la(X1,fun(X0,X1),X2),X3) = X2 | ~comm_monoid_mult(X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f33542])).
% 58.08/9.43 tff(f33542,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_la(X1,fun(X0,X1),X2),X3) = X2 | ~comm_monoid_mult(X1))),
% 58.08/9.43 inference(ennf_transformation,[],[f25867])).
% 58.08/9.43 tff(f25867,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_la(X1,fun(X0,X1),X2),X3) = X2)),
% 58.08/9.43 inference(rectify,[],[f9019])).
% 58.08/9.43 tff(f9019,axiom,(
% 58.08/9.43 ! [X1 : $tType,X0 : $tType] : (comm_monoid_mult(X0) => ! [X105 : X0,X448 : X1] : aa(X1,X0,aTP_Lamp_la(X0,fun(X1,X0),X105),X448) = X105)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9018_ATP_Olambda__838)).
% 58.08/9.43 tff(f103186,plain,(
% 58.08/9.43 spl5880_4176),
% 58.08/9.43 inference(avatar_split_clause,[],[f57577,f103184])).
% 58.08/9.43 tff(f103184,plain,(
% 58.08/9.43 spl5880_4176 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X2,set(X1)),X3 : set(X1)] : (finite_finite(X2,sK3471(X1,X2,X0,X3,X4)) | ~sP2005(X1,X2,X0,X3,X4))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4176])])).
% 58.08/9.43 tff(f57577,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : $tType,X3 : set(X1),X0 : fun(X2,set(X1)),X4 : set(X2)] : (finite_finite(X2,sK3471(X1,X2,X0,X3,X4)) | ~sP2005(X1,X2,X0,X3,X4)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41214])).
% 58.08/9.43 tff(f41214,plain,(
% 58.08/9.43 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X1),X4 : set(X2)] : ((($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),sK3471(X1,X2,X0,X3,X4))))) & finite_finite(X2,sK3471(X1,X2,X0,X3,X4)) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),sK3471(X1,X2,X0,X3,X4)),X4))) | ~sP2005(X1,X2,X0,X3,X4))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3471])],[f41212,f41213])).
% 58.08/9.43 tff(f41213,plain,(
% 58.08/9.43 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,set(X1)),X3 : set(X1),X4 : set(X2)] : (? [X5 : set(X2)] : (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),X5)))) & finite_finite(X2,X5) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X5),X4))) => (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),sK3471(X1,X2,X0,X3,X4))))) & finite_finite(X2,sK3471(X1,X2,X0,X3,X4)) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),sK3471(X1,X2,X0,X3,X4)),X4))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41212,plain,(
% 58.08/9.43 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X1),X4 : set(X2)] : (? [X5 : set(X2)] : (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),X5)))) & finite_finite(X2,X5) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X5),X4))) | ~sP2005(X1,X2,X0,X3,X4))),
% 58.08/9.43 inference(rectify,[],[f41211])).
% 58.08/9.43 tff(f41211,plain,(
% 58.08/9.43 ! [X4 : fun(X1,set(X0)),X0 : $tType,X1 : $tType,X2 : set(X0),X3 : set(X1)] : (? [X6 : set(X1)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X4),X6)))) & finite_finite(X1,X6) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X6),X3))) | ~sP2005(X0,X1,X4,X2,X3))),
% 58.08/9.43 inference(nnf_transformation,[],[f37211])).
% 58.08/9.43 tff(f37211,plain,(
% 58.08/9.43 ! [X4 : fun(X1,set(X0)),X0 : $tType,X1 : $tType,X2 : set(X0),X3 : set(X1)] : (? [X6 : set(X1)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X4),X6)))) & finite_finite(X1,X6) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X6),X3))) | ~sP2005(X0,X1,X4,X2,X3))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2005])])).
% 58.08/9.43 tff(f103182,plain,(
% 58.08/9.43 spl5880_4175),
% 58.08/9.43 inference(avatar_split_clause,[],[f57571,f103180])).
% 58.08/9.43 tff(f103180,plain,(
% 58.08/9.43 spl5880_4175 <=> ! [X1 : $tType,X2 : $tType,X4 : set(X2),X0 : fun(X2,set(X1)),X3 : set(X1)] : (finite_finite(X2,sK3469(X1,X2,X0,X3,X4)) | ~sP2004(X1,X2,X0,X3,X4))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4175])])).
% 58.08/9.43 tff(f57571,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : $tType,X3 : set(X1),X0 : fun(X2,set(X1)),X4 : set(X2)] : (finite_finite(X2,sK3469(X1,X2,X0,X3,X4)) | ~sP2004(X1,X2,X0,X3,X4)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f41208])).
% 58.08/9.43 tff(f41208,plain,(
% 58.08/9.43 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X1),X4 : set(X2)] : ((bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),sK3469(X1,X2,X0,X3,X4)))) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),sK3469(X1,X2,X0,X3,X4)),X4)) & finite_finite(X2,sK3469(X1,X2,X0,X3,X4))) | ~sP2004(X1,X2,X0,X3,X4))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3469])],[f41206,f41207])).
% 58.08/9.43 tff(f41207,plain,(
% 58.08/9.43 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,set(X1)),X3 : set(X1),X4 : set(X2)] : (? [X5 : set(X2)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),X5))) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X5),X4)) & finite_finite(X2,X5)) => (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),sK3469(X1,X2,X0,X3,X4)))) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),sK3469(X1,X2,X0,X3,X4)),X4)) & finite_finite(X2,sK3469(X1,X2,X0,X3,X4))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f41206,plain,(
% 58.08/9.43 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X1),X4 : set(X2)] : (? [X5 : set(X2)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X2),set(set(X1)),image(X2,set(X1),X0),X5))) & ($true = aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X5),X4)) & finite_finite(X2,X5)) | ~sP2004(X1,X2,X0,X3,X4))),
% 58.08/9.43 inference(rectify,[],[f41205])).
% 58.08/9.43 tff(f41205,plain,(
% 58.08/9.43 ! [X4 : fun(X0,set(X1)),X1 : $tType,X0 : $tType,X2 : set(X1),X3 : set(X0)] : (? [X6 : set(X0)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X0),set(set(X1)),image(X0,set(X1),X4),X6))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X6),X3)) & finite_finite(X0,X6)) | ~sP2004(X1,X0,X4,X2,X3))),
% 58.08/9.43 inference(nnf_transformation,[],[f37209])).
% 58.08/9.43 tff(f37209,plain,(
% 58.08/9.43 ! [X4 : fun(X0,set(X1)),X1 : $tType,X0 : $tType,X2 : set(X1),X3 : set(X0)] : (? [X6 : set(X0)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X0),set(set(X1)),image(X0,set(X1),X4),X6))) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X6),X3)) & finite_finite(X0,X6)) | ~sP2004(X1,X0,X4,X2,X3))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2004])])).
% 58.08/9.43 tff(f103178,plain,(
% 58.08/9.43 spl5880_4174),
% 58.08/9.43 inference(avatar_split_clause,[],[f56725,f103176])).
% 58.08/9.43 tff(f103176,plain,(
% 58.08/9.43 spl5880_4174 <=> ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1)) = set_or1337092689740270186AtMost(nat,X0,X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4174])])).
% 58.08/9.43 tff(f56725,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : nat] : (set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1)) = set_or1337092689740270186AtMost(nat,X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f25278])).
% 58.08/9.43 tff(f25278,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1)) = set_or1337092689740270186AtMost(nat,X0,X1)),
% 58.08/9.43 inference(rectify,[],[f5084])).
% 58.08/9.43 tff(f5084,axiom,(
% 58.08/9.43 ! [X14 : nat,X56 : nat] : set_or7035219750837199246ssThan(nat,X14,aa(nat,nat,suc,X56)) = set_or1337092689740270186AtMost(nat,X14,X56)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5083_atLeastLessThanSuc__atLeastAtMost)).
% 58.08/9.43 tff(f103171,plain,(
% 58.08/9.43 spl5880_4173),
% 58.08/9.43 inference(avatar_split_clause,[],[f56724,f103169])).
% 58.08/9.43 tff(f103169,plain,(
% 58.08/9.43 spl5880_4173 <=> ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4173])])).
% 58.08/9.43 tff(f56724,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : nat] : (set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f25277])).
% 58.08/9.43 tff(f25277,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)),
% 58.08/9.43 inference(rectify,[],[f5760])).
% 58.08/9.43 tff(f5760,axiom,(
% 58.08/9.43 ! [X14 : nat,X56 : nat] : set_or5935395276787703475ssThan(nat,X14,X56) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X14),X56)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5759_atLeastSucLessThan__greaterThanLessThan)).
% 58.08/9.43 tff(f103167,plain,(
% 58.08/9.43 spl5880_4172),
% 58.08/9.43 inference(avatar_split_clause,[],[f56723,f103165])).
% 58.08/9.43 tff(f103165,plain,(
% 58.08/9.43 spl5880_4172 <=> ! [X0 : nat,X1 : nat] : set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1) = set_or3652927894154168847AtMost(nat,X0,X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4172])])).
% 58.08/9.43 tff(f56723,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : nat] : (set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1) = set_or3652927894154168847AtMost(nat,X0,X1)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f25276])).
% 58.08/9.43 tff(f25276,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : nat] : set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1) = set_or3652927894154168847AtMost(nat,X0,X1)),
% 58.08/9.43 inference(rectify,[],[f6579])).
% 58.08/9.43 tff(f6579,axiom,(
% 58.08/9.43 ! [X14 : nat,X56 : nat] : set_or3652927894154168847AtMost(nat,X14,X56) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X14),X56)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6578_atLeastSucAtMost__greaterThanAtMost)).
% 58.08/9.43 tff(f103163,plain,(
% 58.08/9.43 spl5880_4171),
% 58.08/9.43 inference(avatar_split_clause,[],[f56636,f103161])).
% 58.08/9.43 tff(f103161,plain,(
% 58.08/9.43 spl5880_4171 <=> ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4171])])).
% 58.08/9.43 tff(f56636,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f14457])).
% 58.08/9.43 tff(f14457,plain,(
% 58.08/9.43 ! [X0 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X0))),
% 58.08/9.43 inference(fool_elimination,[],[f14456])).
% 58.08/9.43 tff(f14456,plain,(
% 58.08/9.43 ! [X0 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X0)),
% 58.08/9.43 inference(rectify,[],[f206])).
% 58.08/9.43 tff(f206,axiom,(
% 58.08/9.43 ! [X8 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X8)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_le__refl)).
% 58.08/9.43 tff(f103159,plain,(
% 58.08/9.43 spl5880_4170),
% 58.08/9.43 inference(avatar_split_clause,[],[f56635,f103157])).
% 58.08/9.43 tff(f103157,plain,(
% 58.08/9.43 spl5880_4170 <=> ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),one2),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4170])])).
% 58.08/9.43 tff(f56635,plain,(
% 58.08/9.43 ( ! [X0 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),one2),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f14455])).
% 58.08/9.43 tff(f14455,plain,(
% 58.08/9.43 ! [X0 : num] : ($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),one2),X0))),
% 58.08/9.43 inference(fool_elimination,[],[f14454])).
% 58.08/9.43 tff(f14454,plain,(
% 58.08/9.43 ! [X0 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),one2),X0)),
% 58.08/9.43 inference(rectify,[],[f337])).
% 58.08/9.43 tff(f337,axiom,(
% 58.08/9.43 ! [X8 : num] : aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),one2),X8)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_semiring__norm_I68_J)).
% 58.08/9.43 tff(f103155,plain,(
% 58.08/9.43 spl5880_4169),
% 58.08/9.43 inference(avatar_split_clause,[],[f56602,f103153])).
% 58.08/9.43 tff(f103153,plain,(
% 58.08/9.43 spl5880_4169 <=> ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4169])])).
% 58.08/9.43 tff(f56602,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f25231])).
% 58.08/9.43 tff(f25231,plain,(
% 58.08/9.43 ! [X0 : nat] : ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X0))),
% 58.08/9.43 inference(flattening,[],[f14413])).
% 58.08/9.43 tff(f14413,plain,(
% 58.08/9.43 ! [X0 : nat] : ~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X0))),
% 58.08/9.43 inference(fool_elimination,[],[f14412])).
% 58.08/9.43 tff(f14412,plain,(
% 58.08/9.43 ! [X0 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X0)),
% 58.08/9.43 inference(rectify,[],[f146])).
% 58.08/9.43 tff(f146,axiom,(
% 58.08/9.43 ! [X8 : nat] : ~aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X8)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_less__not__refl)).
% 58.08/9.43 tff(f103151,plain,(
% 58.08/9.43 spl5880_4168),
% 58.08/9.43 inference(avatar_split_clause,[],[f56601,f103149])).
% 58.08/9.43 tff(f103149,plain,(
% 58.08/9.43 spl5880_4168 <=> ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X0),one2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4168])])).
% 58.08/9.43 tff(f56601,plain,(
% 58.08/9.43 ( ! [X0 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X0),one2))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f25230])).
% 58.08/9.43 tff(f25230,plain,(
% 58.08/9.43 ! [X0 : num] : ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X0),one2))),
% 58.08/9.43 inference(flattening,[],[f14411])).
% 58.08/9.43 tff(f14411,plain,(
% 58.08/9.43 ! [X0 : num] : ~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X0),one2))),
% 58.08/9.43 inference(fool_elimination,[],[f14410])).
% 58.08/9.43 tff(f14410,plain,(
% 58.08/9.43 ! [X0 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less(num),X0),one2)),
% 58.08/9.43 inference(rectify,[],[f92])).
% 58.08/9.43 tff(f92,axiom,(
% 58.08/9.43 ! [X15 : num] : ~aa(num,$o,aa(num,fun(num,$o),ord_less(num),X15),one2)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_semiring__norm_I75_J)).
% 58.08/9.43 tff(f103147,plain,(
% 58.08/9.43 spl5880_4167),
% 58.08/9.43 inference(avatar_split_clause,[],[f56518,f103145])).
% 58.08/9.43 tff(f103145,plain,(
% 58.08/9.43 spl5880_4167 <=> ! [X0 : real] : (zero_zero(int) != sK3360(X0) | ($true != aa(real,$o,aTP_Lamp_aei(real,$o),X0)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4167])])).
% 58.08/9.43 tff(f56518,plain,(
% 58.08/9.43 ( ! [X0 : real] : (zero_zero(int) != sK3360(X0) | ($true != aa(real,$o,aTP_Lamp_aei(real,$o),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40932])).
% 58.08/9.43 tff(f40932,plain,(
% 58.08/9.43 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aei(real,$o),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & ((zero_zero(int) != sK3360(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK3359(X0)),aa(int,real,ring_1_of_int(real),sK3360(X0))) = X0) | ($true != aa(real,$o,aTP_Lamp_aei(real,$o),X0))))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3359,sK3360])],[f40930,f40931])).
% 58.08/9.43 tff(f40931,plain,(
% 58.08/9.43 ! [X0 : real] : (? [X3 : int,X4 : int] : (zero_zero(int) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(int,real,ring_1_of_int(real),X4)) = X0) => (zero_zero(int) != sK3360(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK3359(X0)),aa(int,real,ring_1_of_int(real),sK3360(X0))) = X0))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f40930,plain,(
% 58.08/9.43 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aei(real,$o),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & (? [X3 : int,X4 : int] : (zero_zero(int) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(int,real,ring_1_of_int(real),X4)) = X0) | ($true != aa(real,$o,aTP_Lamp_aei(real,$o),X0))))),
% 58.08/9.43 inference(rectify,[],[f40929])).
% 58.08/9.43 tff(f40929,plain,(
% 58.08/9.43 ! [X0 : real] : ((($true = aa(real,$o,aTP_Lamp_aei(real,$o),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & (? [X1 : int,X2 : int] : (zero_zero(int) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) = X0) | ($true != aa(real,$o,aTP_Lamp_aei(real,$o),X0))))),
% 58.08/9.43 inference(nnf_transformation,[],[f14307])).
% 58.08/9.43 tff(f14307,plain,(
% 58.08/9.43 ! [X0 : real] : (($true = aa(real,$o,aTP_Lamp_aei(real,$o),X0)) <=> ? [X1 : int,X2 : int] : (zero_zero(int) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) = X0))),
% 58.08/9.43 inference(fool_elimination,[],[f14306])).
% 58.08/9.43 tff(f14306,plain,(
% 58.08/9.43 ! [X0 : real] : (aa(real,$o,aTP_Lamp_aei(real,$o),X0) <=> ? [X1 : int,X2 : int] : (zero_zero(int) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) = X0))),
% 58.08/9.43 inference(rectify,[],[f8223])).
% 58.08/9.43 tff(f8223,axiom,(
% 58.08/9.43 ! [X105 : real] : (aa(real,$o,aTP_Lamp_aei(real,$o),X105) <=> ? [X45 : int,X164 : int] : (zero_zero(int) != X164 & divide_divide(real,aa(int,real,ring_1_of_int(real),X45),aa(int,real,ring_1_of_int(real),X164)) = X105))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8222_ATP_Olambda__42)).
% 58.08/9.43 tff(f103143,plain,(
% 58.08/9.43 spl5880_4166 | ~spl5880_154 | ~spl5880_3606 | ~spl5880_4165),
% 58.08/9.43 inference(avatar_split_clause,[],[f103139,f103136,f99330,f79213,f103141])).
% 58.08/9.43 tff(f103141,plain,(
% 58.08/9.43 spl5880_4166 <=> ! [X0 : int] : (one_one(int) != iG468(int,X0) | dvd_dvd(int,X0,one_one(int)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4166])])).
% 58.08/9.43 tff(f79213,plain,(
% 58.08/9.43 spl5880_154 <=> abs_if(int)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_154])])).
% 58.08/9.43 tff(f103136,plain,(
% 58.08/9.43 spl5880_4165 <=> ! [X0 : int] : (dvd_dvd(int,X0,one_one(int)) | one_one(int) != aa(int,int,abs_abs(int),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4165])])).
% 58.08/9.43 tff(f103139,plain,(
% 58.08/9.43 ( ! [X0 : int] : (one_one(int) != iG468(int,X0) | dvd_dvd(int,X0,one_one(int))) ) | (~spl5880_154 | ~spl5880_3606 | ~spl5880_4165)),
% 58.08/9.43 inference(forward_demodulation,[],[f103137,f100105])).
% 58.08/9.43 tff(f100105,plain,(
% 58.08/9.43 ( ! [X0 : int] : (aa(int,int,abs_abs(int),X0) = iG468(int,X0)) ) | (~spl5880_154 | ~spl5880_3606)),
% 58.08/9.43 inference(resolution,[],[f99331,f79215])).
% 58.08/9.43 tff(f79215,plain,(
% 58.08/9.43 abs_if(int) | ~spl5880_154),
% 58.08/9.43 inference(avatar_component_clause,[],[f79213])).
% 58.08/9.43 tff(f103137,plain,(
% 58.08/9.43 ( ! [X0 : int] : (dvd_dvd(int,X0,one_one(int)) | one_one(int) != aa(int,int,abs_abs(int),X0)) ) | ~spl5880_4165),
% 58.08/9.43 inference(avatar_component_clause,[],[f103136])).
% 58.08/9.43 tff(f103138,plain,(
% 58.08/9.43 spl5880_4165),
% 58.08/9.43 inference(avatar_split_clause,[],[f56440,f103136])).
% 58.08/9.43 tff(f56440,plain,(
% 58.08/9.43 ( ! [X0 : int] : (dvd_dvd(int,X0,one_one(int)) | one_one(int) != aa(int,int,abs_abs(int),X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40862])).
% 58.08/9.43 tff(f40862,plain,(
% 58.08/9.43 ! [X0 : int] : ((dvd_dvd(int,X0,one_one(int)) | one_one(int) != aa(int,int,abs_abs(int),X0)) & (one_one(int) = aa(int,int,abs_abs(int),X0) | ~dvd_dvd(int,X0,one_one(int))))),
% 58.08/9.43 inference(nnf_transformation,[],[f25195])).
% 58.08/9.43 tff(f25195,plain,(
% 58.08/9.43 ! [X0 : int] : (dvd_dvd(int,X0,one_one(int)) <=> one_one(int) = aa(int,int,abs_abs(int),X0))),
% 58.08/9.43 inference(rectify,[],[f2921])).
% 58.08/9.43 tff(f2921,axiom,(
% 58.08/9.43 ! [X9 : int] : (dvd_dvd(int,X9,one_one(int)) <=> one_one(int) = aa(int,int,abs_abs(int),X9))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2920_zdvd1__eq)).
% 58.08/9.43 tff(f103124,plain,(
% 58.08/9.43 spl5880_4164 | ~spl5880_154 | ~spl5880_3606 | ~spl5880_4163),
% 58.08/9.43 inference(avatar_split_clause,[],[f103120,f103117,f99330,f79213,f103122])).
% 58.08/9.43 tff(f103122,plain,(
% 58.08/9.43 spl5880_4164 <=> ! [X0 : int] : (one_one(int) = iG468(int,X0) | ~dvd_dvd(int,X0,one_one(int)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4164])])).
% 58.08/9.43 tff(f103117,plain,(
% 58.08/9.43 spl5880_4163 <=> ! [X0 : int] : (one_one(int) = aa(int,int,abs_abs(int),X0) | ~dvd_dvd(int,X0,one_one(int)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4163])])).
% 58.08/9.43 tff(f103120,plain,(
% 58.08/9.43 ( ! [X0 : int] : (one_one(int) = iG468(int,X0) | ~dvd_dvd(int,X0,one_one(int))) ) | (~spl5880_154 | ~spl5880_3606 | ~spl5880_4163)),
% 58.08/9.43 inference(forward_demodulation,[],[f103118,f100105])).
% 58.08/9.43 tff(f103118,plain,(
% 58.08/9.43 ( ! [X0 : int] : (one_one(int) = aa(int,int,abs_abs(int),X0) | ~dvd_dvd(int,X0,one_one(int))) ) | ~spl5880_4163),
% 58.08/9.43 inference(avatar_component_clause,[],[f103117])).
% 58.08/9.43 tff(f103119,plain,(
% 58.08/9.43 spl5880_4163),
% 58.08/9.43 inference(avatar_split_clause,[],[f56439,f103117])).
% 58.08/9.43 tff(f56439,plain,(
% 58.08/9.43 ( ! [X0 : int] : (one_one(int) = aa(int,int,abs_abs(int),X0) | ~dvd_dvd(int,X0,one_one(int))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40862])).
% 58.08/9.43 tff(f103115,plain,(
% 58.08/9.43 spl5880_4162),
% 58.08/9.43 inference(avatar_split_clause,[],[f56438,f103113])).
% 58.08/9.43 tff(f103113,plain,(
% 58.08/9.43 spl5880_4162 <=> ! [X0 : fun(nat,$o),X1 : nat] : (eventually(nat,X0,at_top(nat)) | ($true != aa(nat,$o,X0,sK3343(X0,X1))))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4162])])).
% 58.08/9.43 tff(f56438,plain,(
% 58.08/9.43 ( ! [X0 : fun(nat,$o),X1 : nat] : (eventually(nat,X0,at_top(nat)) | ($true != aa(nat,$o,X0,sK3343(X0,X1)))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40861])).
% 58.08/9.43 tff(f40861,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : ((eventually(nat,X0,at_top(nat)) | ! [X1 : nat] : (($true != aa(nat,$o,X0,sK3343(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK3343(X0,X1))))) & (! [X4 : nat] : (($true = aa(nat,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3344(X0)),X4))) | ~eventually(nat,X0,at_top(nat))))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3343,sK3344])],[f40858,f40860,f40859])).
% 58.08/9.43 tff(f40859,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) => (($true != aa(nat,$o,X0,sK3343(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK3343(X0,X1)))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f40860,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) => ! [X4 : nat] : (($true = aa(nat,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3344(X0)),X4))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f40858,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : ((eventually(nat,X0,at_top(nat)) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)))) & (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,X0,X4)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ~eventually(nat,X0,at_top(nat))))),
% 58.08/9.43 inference(rectify,[],[f40857])).
% 58.08/9.43 tff(f40857,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : ((eventually(nat,X0,at_top(nat)) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)))) & (? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) | ~eventually(nat,X0,at_top(nat))))),
% 58.08/9.43 inference(nnf_transformation,[],[f33180])).
% 58.08/9.43 tff(f33180,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : (eventually(nat,X0,at_top(nat)) <=> ? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))))),
% 58.08/9.43 inference(ennf_transformation,[],[f14289])).
% 58.08/9.43 tff(f14289,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : (eventually(nat,X0,at_top(nat)) <=> ? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => ($true = aa(nat,$o,X0,X2))))),
% 58.08/9.43 inference(fool_elimination,[],[f14288])).
% 58.08/9.43 tff(f14288,plain,(
% 58.08/9.43 ! [X0 : fun(nat,$o)] : (eventually(nat,X0,at_top(nat)) <=> ? [X1 : nat] : ! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2) => aa(nat,$o,X0,X2)))),
% 58.08/9.43 inference(rectify,[],[f6462])).
% 58.08/9.43 tff(f6462,axiom,(
% 58.08/9.43 ! [X26 : fun(nat,$o)] : (eventually(nat,X26,at_top(nat)) <=> ? [X251 : nat] : ! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X251),X193) => aa(nat,$o,X26,X193)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6461_eventually__sequentially)).
% 58.08/9.43 tff(f103111,plain,(
% 58.08/9.43 spl5880_4161),
% 58.08/9.43 inference(avatar_split_clause,[],[f56042,f103109])).
% 58.08/9.43 tff(f103109,plain,(
% 58.08/9.43 spl5880_4161 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4161])])).
% 58.08/9.43 tff(f56042,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f32750])).
% 58.08/9.43 tff(f32750,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0))),
% 58.08/9.43 inference(flattening,[],[f32749])).
% 58.08/9.43 tff(f32749,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X1)) | (~topolo4958980785337419405_space(X0) | ~ring_1(X0)))),
% 58.08/9.43 inference(ennf_transformation,[],[f25149])).
% 58.08/9.43 tff(f25149,plain,(
% 58.08/9.43 ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & ring_1(X0)) => ! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X1)))),
% 58.08/9.43 inference(rectify,[],[f3414])).
% 58.08/9.43 tff(f3414,axiom,(
% 58.08/9.43 ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & ring_1(X0)) => ! [X30 : fun(nat,X0)] : summable(X0,aTP_Lamp_dl(fun(nat,X0),fun(nat,X0),X30)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3413_summable__zero__power_H)).
% 58.08/9.43 tff(f103107,plain,(
% 58.08/9.43 spl5880_4160),
% 58.08/9.43 inference(avatar_split_clause,[],[f55690,f103105])).
% 58.08/9.43 tff(f103105,plain,(
% 58.08/9.43 spl5880_4160 <=> ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,na) | ~member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4160])])).
% 58.08/9.43 tff(f55690,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,na) | ~member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f32200])).
% 58.08/9.43 tff(f32200,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT] : ((! [X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_d_e_l_e_t_e(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) & vEBT_invar_vebt(X0,na)) | ~member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)))),
% 58.08/9.43 inference(ennf_transformation,[],[f13587])).
% 58.08/9.43 tff(f13587,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT] : (member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) => (! [X1 : nat] : ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_d_e_l_e_t_e(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) & vEBT_invar_vebt(X0,na)))),
% 58.08/9.43 inference(fool_elimination,[],[f13586])).
% 58.08/9.43 tff(f13586,plain,(
% 58.08/9.43 ! [X0 : vEBT_VEBT] : (member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) => (! [X1 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_d_e_l_e_t_e(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))) & vEBT_invar_vebt(X0,na)))),
% 58.08/9.43 inference(rectify,[],[f592])).
% 58.08/9.43 tff(f592,axiom,(
% 58.08/9.43 ! [X50 : vEBT_VEBT] : (member(vEBT_VEBT,X50,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) => (! [X98 : nat] : aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),vEBT_T_d_e_l_e_t_e(X50,X98)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X50))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))))))) & vEBT_invar_vebt(X50,na)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_591__C5_OIH_C_I1_J)).
% 58.08/9.43 tff(f103103,plain,(
% 58.08/9.43 spl5880_4159),
% 58.08/9.43 inference(avatar_split_clause,[],[f55628,f103101])).
% 58.08/9.43 tff(f103101,plain,(
% 58.08/9.43 spl5880_4159 <=> ! [X1 : $tType,X2 : fun(X1,$o),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK2987(X1,X0,X2))) | ~sP1987(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4159])])).
% 58.08/9.43 tff(f55628,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : fun(X1,$o),X0 : fun(X1,$o)] : (($true != aa(X1,$o,X0,sK2987(X1,X0,X2))) | ~sP1987(X1,X0,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40401])).
% 58.08/9.43 tff(f40401,plain,(
% 58.08/9.43 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,$o)] : ((($true != aa(X1,$o,X0,sK2987(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),sK2987(X1,X0,X2))) | ($true != aa(X1,$o,X2,X4))) & ($true = aa(X1,$o,X2,sK2987(X1,X0,X2)))) | ~sP1987(X1,X0,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2987])],[f40399,f40400])).
% 58.08/9.43 tff(f40400,plain,(
% 58.08/9.43 ! [X1 : $tType,X0 : fun(X1,$o),X2 : fun(X1,$o)] : (? [X3 : X1] : (($true != aa(X1,$o,X0,X3)) & ! [X4 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X3)) | ($true != aa(X1,$o,X2,X4))) & ($true = aa(X1,$o,X2,X3))) => (($true != aa(X1,$o,X0,sK2987(X1,X0,X2))) & ! [X4 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),sK2987(X1,X0,X2))) | ($true != aa(X1,$o,X2,X4))) & ($true = aa(X1,$o,X2,sK2987(X1,X0,X2)))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f40399,plain,(
% 58.08/9.43 ! [X0 : fun(X1,$o),X1 : $tType,X2 : fun(X1,$o)] : (? [X3 : X1] : (($true != aa(X1,$o,X0,X3)) & ! [X4 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X3)) | ($true != aa(X1,$o,X2,X4))) & ($true = aa(X1,$o,X2,X3))) | ~sP1987(X1,X0,X2))),
% 58.08/9.43 inference(rectify,[],[f40398])).
% 58.08/9.43 tff(f40398,plain,(
% 58.08/9.43 ! [X3 : fun(X0,$o),X0 : $tType,X1 : fun(X0,$o)] : (? [X5 : X0] : (($true != aa(X0,$o,X3,X5)) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X6),X5)) | ($true != aa(X0,$o,X1,X6))) & ($true = aa(X0,$o,X1,X5))) | ~sP1987(X0,X3,X1))),
% 58.08/9.43 inference(nnf_transformation,[],[f37179])).
% 58.08/9.43 tff(f37179,plain,(
% 58.08/9.43 ! [X3 : fun(X0,$o),X0 : $tType,X1 : fun(X0,$o)] : (? [X5 : X0] : (($true != aa(X0,$o,X3,X5)) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X6),X5)) | ($true != aa(X0,$o,X1,X6))) & ($true = aa(X0,$o,X1,X5))) | ~sP1987(X0,X3,X1))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1987])])).
% 58.08/9.43 tff(f103099,plain,(
% 58.08/9.43 spl5880_4158),
% 58.08/9.43 inference(avatar_split_clause,[],[f55626,f103097])).
% 58.08/9.43 tff(f103097,plain,(
% 58.08/9.43 spl5880_4158 <=> ! [X1 : $tType,X2 : fun(X1,$o),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X2,sK2987(X1,X0,X2))) | ~sP1987(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4158])])).
% 58.08/9.43 tff(f55626,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : fun(X1,$o),X0 : fun(X1,$o)] : (($true = aa(X1,$o,X2,sK2987(X1,X0,X2))) | ~sP1987(X1,X0,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40401])).
% 58.08/9.43 tff(f103095,plain,(
% 58.08/9.43 spl5880_4157),
% 58.08/9.43 inference(avatar_split_clause,[],[f55052,f103093])).
% 58.08/9.43 tff(f103093,plain,(
% 58.08/9.43 spl5880_4157 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP1965(X0,X2,X1) | ~sP1966(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4157])])).
% 58.08/9.43 tff(f55052,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP1965(X0,X2,X1) | ~sP1966(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40087])).
% 58.08/9.43 tff(f40087,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : ((sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP1965(X0,X2,X1)) & (sP1965(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)))) | ~sP1966(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f37147])).
% 58.08/9.43 tff(f37147,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> sP1965(X0,X2,X1)) | ~sP1966(X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1966])])).
% 58.08/9.43 tff(f103091,plain,(
% 58.08/9.43 spl5880_4156),
% 58.08/9.43 inference(avatar_split_clause,[],[f55051,f103089])).
% 58.08/9.43 tff(f103089,plain,(
% 58.08/9.43 spl5880_4156 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1965(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP1966(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4156])])).
% 58.08/9.43 tff(f55051,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1965(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP1966(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f40087])).
% 58.08/9.43 tff(f103087,plain,(
% 58.08/9.43 spl5880_4155),
% 58.08/9.43 inference(avatar_split_clause,[],[f54900,f103085])).
% 58.08/9.43 tff(f103085,plain,(
% 58.08/9.43 spl5880_4155 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups_adj(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4155])])).
% 58.08/9.43 tff(f54900,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups_adj(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f31618])).
% 58.08/9.43 tff(f31618,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups_adj(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24839])).
% 58.08/9.43 tff(f24839,plain,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),remdups_adj(X0,X1))))),
% 58.08/9.43 inference(rectify,[],[f8055])).
% 58.08/9.43 tff(f8055,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),remdups_adj(X0,X64))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8054_sorted__remdups__adj)).
% 58.08/9.43 tff(f103083,plain,(
% 58.08/9.43 spl5880_4154),
% 58.08/9.43 inference(avatar_split_clause,[],[f54899,f103081])).
% 58.08/9.43 tff(f103081,plain,(
% 58.08/9.43 spl5880_4154 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4154])])).
% 58.08/9.43 tff(f54899,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f31617])).
% 58.08/9.43 tff(f31617,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),remdups(X0,X1)) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) | ~linorder(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24838])).
% 58.08/9.43 tff(f24838,plain,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),remdups(X0,X1))))),
% 58.08/9.43 inference(rectify,[],[f8052])).
% 58.08/9.43 tff(f8052,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),remdups(X0,X64))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8051_sorted__remdups)).
% 58.08/9.43 tff(f103079,plain,(
% 58.08/9.43 spl5880_4153),
% 58.08/9.43 inference(avatar_split_clause,[],[f54883,f103077])).
% 58.08/9.43 tff(f103077,plain,(
% 58.08/9.43 spl5880_4153 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),at_top(X0)) | ~linorder(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4153])])).
% 58.08/9.43 tff(f54883,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),at_top(X0)) | ~linorder(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f31604])).
% 58.08/9.43 tff(f31604,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),at_top(X0)) | ~linorder(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24827])).
% 58.08/9.43 tff(f24827,plain,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),at_top(X0)))),
% 58.08/9.43 inference(rectify,[],[f6460])).
% 58.08/9.43 tff(f6460,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (linorder(X0) => ! [X17 : X0] : eventually(X0,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),at_top(X0)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6459_eventually__ge__at__top)).
% 58.08/9.43 tff(f103075,plain,(
% 58.08/9.43 spl5880_4152),
% 58.08/9.43 inference(avatar_split_clause,[],[f54795,f103073])).
% 58.08/9.43 tff(f103073,plain,(
% 58.08/9.43 spl5880_4152 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,X2) | ~comm_monoid_mult(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4152])])).
% 58.08/9.43 tff(f54795,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,X2) | ~comm_monoid_mult(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f31512])).
% 58.08/9.43 tff(f31512,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X2,X3) | ~dvd_dvd(X0,X1,X2)) | ~comm_monoid_mult(X0))),
% 58.08/9.43 inference(flattening,[],[f31511])).
% 58.08/9.43 tff(f31511,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((dvd_dvd(X0,X1,X3) | ~dvd_dvd(X0,X2,X3)) | ~dvd_dvd(X0,X1,X2)) | ~comm_monoid_mult(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24793])).
% 58.08/9.43 tff(f24793,plain,(
% 58.08/9.43 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (dvd_dvd(X0,X1,X2) => (dvd_dvd(X0,X2,X3) => dvd_dvd(X0,X1,X3))))),
% 58.08/9.43 inference(rectify,[],[f1950])).
% 58.08/9.43 tff(f1950,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0,X12 : X0,X17 : X0] : (dvd_dvd(X0,X11,X12) => (dvd_dvd(X0,X12,X17) => dvd_dvd(X0,X11,X17))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1949_dvd__trans)).
% 58.08/9.43 tff(f103071,plain,(
% 58.08/9.43 spl5880_4151),
% 58.08/9.43 inference(avatar_split_clause,[],[f54576,f103069])).
% 58.08/9.43 tff(f103069,plain,(
% 58.08/9.43 spl5880_4151 <=> ! [X0 : $tType,X1 : num] : (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4151])])).
% 58.08/9.43 tff(f54576,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : num] : (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f39941])).
% 58.08/9.43 tff(f39941,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | one2 != X1) & (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~semiring_char_0(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f31301])).
% 58.08/9.43 tff(f31301,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> one2 = X1) | ~semiring_char_0(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24624])).
% 58.08/9.43 tff(f24624,plain,(
% 58.08/9.43 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> one2 = X1))),
% 58.08/9.43 inference(rectify,[],[f499])).
% 58.08/9.43 tff(f499,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : num] : (aa(num,X0,numeral_numeral(X0),X8) = one_one(X0) <=> one2 = X8))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_498_one__eq__numeral__iff)).
% 58.08/9.43 tff(f103067,plain,(
% 58.08/9.43 spl5880_4150),
% 58.08/9.43 inference(avatar_split_clause,[],[f54477,f103065])).
% 58.08/9.43 tff(f103065,plain,(
% 58.08/9.43 spl5880_4150 <=> ! [X0 : $tType,X1 : list(X0)] : (groups8242544230860333062m_list(X0,X1) = foldr(X0,X0,plus_plus(X0),X1,zero_zero(X0)) | ~monoid_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4150])])).
% 58.08/9.43 tff(f54477,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(X0)] : (groups8242544230860333062m_list(X0,X1) = foldr(X0,X0,plus_plus(X0),X1,zero_zero(X0)) | ~monoid_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f31228])).
% 58.08/9.43 tff(f31228,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : groups8242544230860333062m_list(X0,X1) = foldr(X0,X0,plus_plus(X0),X1,zero_zero(X0)) | ~monoid_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24578])).
% 58.08/9.43 tff(f24578,plain,(
% 58.08/9.43 ! [X0 : $tType] : (monoid_add(X0) => ! [X1 : list(X0)] : groups8242544230860333062m_list(X0,X1) = foldr(X0,X0,plus_plus(X0),X1,zero_zero(X0)))),
% 58.08/9.43 inference(rectify,[],[f7950])).
% 58.08/9.43 tff(f7950,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (monoid_add(X0) => ! [X64 : list(X0)] : groups8242544230860333062m_list(X0,X64) = foldr(X0,X0,plus_plus(X0),X64,zero_zero(X0)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7949_sum__list_Oeq__foldr)).
% 58.08/9.43 tff(f103063,plain,(
% 58.08/9.43 spl5880_4149),
% 58.08/9.43 inference(avatar_split_clause,[],[f54376,f103061])).
% 58.08/9.43 tff(f103061,plain,(
% 58.08/9.43 spl5880_4149 <=> ! [X1 : $tType,X4 : X1,X0 : set(X1)] : (member(X1,X4,sK2817(X1,X0,X4)) | ~member(X1,X4,X0) | ~sP1954(X1,X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4149])])).
% 58.08/9.43 tff(f54376,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : set(X1),X4 : X1] : (member(X1,X4,sK2817(X1,X0,X4)) | ~member(X1,X4,X0) | ~sP1954(X1,X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f39872])).
% 58.08/9.43 tff(f39872,plain,(
% 58.08/9.43 ! [X0 : set(X1),X1 : $tType] : ((sP1954(X1,X0) | (! [X3 : set(X1)] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X0)) | ~member(X1,sK2816(X1,X0),X3) | ~topolo1002775350975398744n_open(X1,X3)) & member(X1,sK2816(X1,X0),X0))) & (! [X4 : X1] : ((($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK2817(X1,X0,X4)),X0)) & member(X1,X4,sK2817(X1,X0,X4)) & topolo1002775350975398744n_open(X1,sK2817(X1,X0,X4))) | ~member(X1,X4,X0)) | ~sP1954(X1,X0)))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2816,sK2817])],[f39869,f39871,f39870])).
% 58.08/9.43 tff(f39870,plain,(
% 58.08/9.43 ! [X1 : $tType,X0 : set(X1)] : (? [X2 : X1] : (! [X3 : set(X1)] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X0)) | ~member(X1,X2,X3) | ~topolo1002775350975398744n_open(X1,X3)) & member(X1,X2,X0)) => (! [X3 : set(X1)] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X0)) | ~member(X1,sK2816(X1,X0),X3) | ~topolo1002775350975398744n_open(X1,X3)) & member(X1,sK2816(X1,X0),X0)))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f39871,plain,(
% 58.08/9.43 ! [X1 : $tType,X0 : set(X1),X4 : X1] : (? [X5 : set(X1)] : (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X5),X0)) & member(X1,X4,X5) & topolo1002775350975398744n_open(X1,X5)) => (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK2817(X1,X0,X4)),X0)) & member(X1,X4,sK2817(X1,X0,X4)) & topolo1002775350975398744n_open(X1,sK2817(X1,X0,X4))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f39869,plain,(
% 58.08/9.43 ! [X0 : set(X1),X1 : $tType] : ((sP1954(X1,X0) | ? [X2 : X1] : (! [X3 : set(X1)] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X0)) | ~member(X1,X2,X3) | ~topolo1002775350975398744n_open(X1,X3)) & member(X1,X2,X0))) & (! [X4 : X1] : (? [X5 : set(X1)] : (($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X5),X0)) & member(X1,X4,X5) & topolo1002775350975398744n_open(X1,X5)) | ~member(X1,X4,X0)) | ~sP1954(X1,X0)))),
% 58.08/9.43 inference(rectify,[],[f39868])).
% 58.08/9.43 tff(f39868,plain,(
% 58.08/9.43 ! [X1 : set(X0),X0 : $tType] : ((sP1954(X0,X1) | ? [X2 : X0] : (! [X3 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3)) & member(X0,X2,X1))) & (! [X2 : X0] : (? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3)) | ~member(X0,X2,X1)) | ~sP1954(X0,X1)))),
% 58.08/9.43 inference(nnf_transformation,[],[f37128])).
% 58.08/9.43 tff(f37128,plain,(
% 58.08/9.43 ! [X1 : set(X0),X0 : $tType] : (sP1954(X0,X1) <=> ! [X2 : X0] : (? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3)) | ~member(X0,X2,X1)))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1954])])).
% 58.08/9.43 tff(f103059,plain,(
% 58.08/9.43 spl5880_4148),
% 58.08/9.43 inference(avatar_split_clause,[],[f54155,f103057])).
% 58.08/9.43 tff(f103057,plain,(
% 58.08/9.43 spl5880_4148 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4148])])).
% 58.08/9.43 tff(f54155,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f30963])).
% 58.08/9.43 tff(f30963,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24482])).
% 58.08/9.43 tff(f24482,plain,(
% 58.08/9.43 ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2))),
% 58.08/9.43 inference(rectify,[],[f6940])).
% 58.08/9.43 tff(f6940,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X11 : X0,X27 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X11),X27))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6939_inj__on__add)).
% 58.08/9.43 tff(f103055,plain,(
% 58.08/9.43 spl5880_4147),
% 58.08/9.43 inference(avatar_split_clause,[],[f54093,f103053])).
% 58.08/9.43 tff(f103053,plain,(
% 58.08/9.43 spl5880_4147 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_zg(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4147])])).
% 58.08/9.43 tff(f54093,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_zg(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f30917])).
% 58.08/9.43 tff(f30917,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_zg(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24446])).
% 58.08/9.43 tff(f24446,plain,(
% 58.08/9.43 ! [X0 : $tType] : (counta3822494911875563373attice(X0) => ! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_zg(X0,fun(nat,X0),X1),X2) = X1)),
% 58.08/9.43 inference(rectify,[],[f9018])).
% 58.08/9.43 tff(f9018,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (counta3822494911875563373attice(X0) => ! [X105 : X0,X448 : nat] : aa(nat,X0,aTP_Lamp_zg(X0,fun(nat,X0),X105),X448) = X105)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9017_ATP_Olambda__837)).
% 58.08/9.43 tff(f103051,plain,(
% 58.08/9.43 spl5880_4146),
% 58.08/9.43 inference(avatar_split_clause,[],[f53844,f103049])).
% 58.08/9.43 tff(f103049,plain,(
% 58.08/9.43 spl5880_4146 <=> ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4146])])).
% 58.08/9.43 tff(f53844,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f30659])).
% 58.08/9.43 tff(f30659,plain,(
% 58.08/9.43 ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f2610])).
% 58.08/9.43 tff(f2610,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (neg_numeral(X0) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2609_dbl__dec__simps_I2_J)).
% 58.08/9.43 tff(f103047,plain,(
% 58.08/9.43 ~spl5880_4145 | ~spl5880_1444 | spl5880_3796),
% 58.08/9.43 inference(avatar_split_clause,[],[f100661,f100639,f85787,f103044])).
% 58.08/9.43 tff(f100661,plain,(
% 58.08/9.43 iG271 != iG714($true) | (~spl5880_1444 | spl5880_3796)),
% 58.08/9.43 inference(superposition,[],[f100640,f85789])).
% 58.08/9.43 tff(f100640,plain,(
% 58.08/9.43 one_one(nat) != iG271 | spl5880_3796),
% 58.08/9.43 inference(avatar_component_clause,[],[f100639])).
% 58.08/9.43 tff(f103042,plain,(
% 58.08/9.43 spl5880_4144),
% 58.08/9.43 inference(avatar_split_clause,[],[f53807,f103040])).
% 58.08/9.43 tff(f103040,plain,(
% 58.08/9.43 spl5880_4144 <=> ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_kc(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4144])])).
% 58.08/9.43 tff(f53807,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_kc(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f30621])).
% 58.08/9.43 tff(f30621,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : inj_on(X0,X0,aTP_Lamp_kc(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24300])).
% 58.08/9.43 tff(f24300,plain,(
% 58.08/9.43 ! [X0 : $tType] : (ab_group_add(X0) => ! [X1 : X0] : inj_on(X0,X0,aTP_Lamp_kc(X0,fun(X0,X0),X1),top_top(set(X0))))),
% 58.08/9.43 inference(rectify,[],[f6945])).
% 58.08/9.43 tff(f6945,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (ab_group_add(X0) => ! [X11 : X0] : inj_on(X0,X0,aTP_Lamp_kc(X0,fun(X0,X0),X11),top_top(set(X0))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6944_inj__diff__right)).
% 58.08/9.43 tff(f103038,plain,(
% 58.08/9.43 spl5880_4143),
% 58.08/9.43 inference(avatar_split_clause,[],[f52914,f103036])).
% 58.08/9.43 tff(f103036,plain,(
% 58.08/9.43 spl5880_4143 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1 | ~linord5086331880401160121up_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4143])])).
% 58.08/9.43 tff(f52914,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1 | ~linord5086331880401160121up_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f39383])).
% 58.08/9.43 tff(f39383,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : ((aa(X0,X0,uminus_uminus(X0),X1) = X1 | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1)) | ~linord5086331880401160121up_add(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f30021])).
% 58.08/9.43 tff(f30021,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 <=> zero_zero(X0) = X1) | ~linord5086331880401160121up_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f24110])).
% 58.08/9.43 tff(f24110,plain,(
% 58.08/9.43 ! [X0 : $tType] : (linord5086331880401160121up_add(X0) => ! [X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 <=> zero_zero(X0) = X1))),
% 58.08/9.43 inference(rectify,[],[f2315])).
% 58.08/9.43 tff(f2315,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (linord5086331880401160121up_add(X0) => ! [X11 : X0] : (aa(X0,X0,uminus_uminus(X0),X11) = X11 <=> zero_zero(X0) = X11))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2314_neg__equal__zero)).
% 58.08/9.43 tff(f103034,plain,(
% 58.08/9.43 spl5880_4142),
% 58.08/9.43 inference(avatar_split_clause,[],[f52783,f103032])).
% 58.08/9.43 tff(f52783,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = iG459(X0,X1,X2) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29932])).
% 58.08/9.43 tff(f29932,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = iG459(X0,X1,X2) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f11360])).
% 58.08/9.43 tff(f11360,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = iG459(X0,X1,X2))),
% 58.08/9.43 inference(fool_elimination,[],[f11358,f11359])).
% 58.08/9.43 tff(f11359,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG459(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => zero_zero(X0) = iG459(X0,X1,X2))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG459])])).
% 58.08/9.43 tff(f11358,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X2) = $ite(zero_zero(nat) = X1, zero_zero(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))),
% 58.08/9.43 inference(rectify,[],[f2915])).
% 58.08/9.43 tff(f2915,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat,X11 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),X11) = $ite(zero_zero(nat) = X8, zero_zero(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))),divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2914_take__bit__rec)).
% 58.08/9.43 tff(f103030,plain,(
% 58.08/9.43 spl5880_4141),
% 58.08/9.43 inference(avatar_split_clause,[],[f52782,f103028])).
% 58.08/9.43 tff(f52782,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = iG458(X0,X1,X2) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29931])).
% 58.08/9.43 tff(f29931,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = iG458(X0,X1,X2) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f11357])).
% 58.08/9.43 tff(f11357,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = iG458(X0,X1,X2))),
% 58.08/9.43 inference(fool_elimination,[],[f11355,f11356])).
% 58.08/9.43 tff(f11356,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG458(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => iG458(X0,X1,X2) = X2)),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG458])])).
% 58.08/9.43 tff(f11355,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = $ite(zero_zero(nat) = X1, X2,aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))),
% 58.08/9.43 inference(rectify,[],[f5562])).
% 58.08/9.43 tff(f5562,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat,X11 : X0] : aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),X11) = $ite(zero_zero(nat) = X8, X11,aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))),divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5561_drop__bit__rec)).
% 58.08/9.43 tff(f103026,plain,(
% 58.08/9.43 spl5880_4140),
% 58.08/9.43 inference(avatar_split_clause,[],[f52596,f103024])).
% 58.08/9.43 tff(f103024,plain,(
% 58.08/9.43 spl5880_4140 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4140])])).
% 58.08/9.43 tff(f52596,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29761])).
% 58.08/9.43 tff(f29761,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23932])).
% 58.08/9.43 tff(f23932,plain,(
% 58.08/9.43 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1))),
% 58.08/9.43 inference(rectify,[],[f4367])).
% 58.08/9.43 tff(f4367,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : divide_divide(X0,one_one(X0),X11) = aa(X0,X0,inverse_inverse(X0),X11))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4366_inverse__eq__divide)).
% 58.08/9.43 tff(f103022,plain,(
% 58.08/9.43 spl5880_4139),
% 58.08/9.43 inference(avatar_split_clause,[],[f52562,f103020])).
% 58.08/9.43 tff(f103020,plain,(
% 58.08/9.43 spl5880_4139 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),X2) = iG426(X0,X2,X1) | ~field_char_0(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4139])])).
% 58.08/9.43 tff(f52562,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),X2) = iG426(X0,X2,X1) | ~field_char_0(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29723])).
% 58.08/9.43 tff(f29723,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : aa(nat,X0,gbinomial(X0,X1),X2) = iG426(X0,X2,X1) | ~field_char_0(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f11237])).
% 58.08/9.43 tff(f11237,plain,(
% 58.08/9.43 ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : X0,X2 : nat] : aa(nat,X0,gbinomial(X0,X1),X2) = iG426(X0,X2,X1))),
% 58.08/9.43 inference(fool_elimination,[],[f11235,f11236])).
% 58.08/9.43 tff(f11236,plain,(
% 58.08/9.43 ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X2)) = iG426(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG426(X0,X2,X1))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG426])])).
% 58.08/9.43 tff(f11235,plain,(
% 58.08/9.43 ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : X0,X2 : nat] : aa(nat,X0,gbinomial(X0,X1),X2) = $ite(zero_zero(nat) = X2, one_one(X0),divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X2))))),
% 58.08/9.43 inference(rectify,[],[f4108])).
% 58.08/9.43 tff(f4108,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (field_char_0(X0) => ! [X11 : X0,X24 : nat] : aa(nat,X0,gbinomial(X0,X11),X24) = $ite(zero_zero(nat) = X24, one_one(X0),divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X11),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X24),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X24))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4107_gbinomial__code)).
% 58.08/9.43 tff(f103018,plain,(
% 58.08/9.43 spl5880_4138),
% 58.08/9.43 inference(avatar_split_clause,[],[f52297,f103016])).
% 58.08/9.43 tff(f103016,plain,(
% 58.08/9.43 spl5880_4138 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),sK2715(X1,X0,X2)) = X2 | ~sP1894(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4138])])).
% 58.08/9.43 tff(f52297,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),sK2715(X1,X0,X2)) = X2 | ~sP1894(X1,X0,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f39258])).
% 58.08/9.43 tff(f39258,plain,(
% 58.08/9.43 ! [X0 : X1,X1 : $tType,X2 : X1] : ((divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),sK2715(X1,X0,X2)) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),sK2715(X1,X0,X2)) & divide_divide(X1,one_one(X1),sK2715(X1,X0,X2)) = X2 & divide_divide(X1,one_one(X1),X2) = sK2715(X1,X0,X2) & dvd_dvd(X1,sK2715(X1,X0,X2),one_one(X1)) & zero_zero(X1) != sK2715(X1,X0,X2)) | ~sP1894(X1,X0,X2))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2715])],[f39256,f39257])).
% 58.08/9.43 tff(f39257,plain,(
% 58.08/9.43 ! [X1 : $tType,X0 : X1,X2 : X1] : (? [X3 : X1] : (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X3) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),X3) & divide_divide(X1,one_one(X1),X3) = X2 & divide_divide(X1,one_one(X1),X2) = X3 & dvd_dvd(X1,X3,one_one(X1)) & zero_zero(X1) != X3) => (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),sK2715(X1,X0,X2)) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),sK2715(X1,X0,X2)) & divide_divide(X1,one_one(X1),sK2715(X1,X0,X2)) = X2 & divide_divide(X1,one_one(X1),X2) = sK2715(X1,X0,X2) & dvd_dvd(X1,sK2715(X1,X0,X2),one_one(X1)) & zero_zero(X1) != sK2715(X1,X0,X2)))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f39256,plain,(
% 58.08/9.43 ! [X0 : X1,X1 : $tType,X2 : X1] : (? [X3 : X1] : (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X3) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),X3) & divide_divide(X1,one_one(X1),X3) = X2 & divide_divide(X1,one_one(X1),X2) = X3 & dvd_dvd(X1,X3,one_one(X1)) & zero_zero(X1) != X3) | ~sP1894(X1,X0,X2))),
% 58.08/9.43 inference(rectify,[],[f39255])).
% 58.08/9.43 tff(f39255,plain,(
% 58.08/9.43 ! [X2 : X0,X0 : $tType,X1 : X0] : (? [X3 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & divide_divide(X0,one_one(X0),X3) = X1 & divide_divide(X0,one_one(X0),X1) = X3 & dvd_dvd(X0,X3,one_one(X0)) & zero_zero(X0) != X3) | ~sP1894(X0,X2,X1))),
% 58.08/9.43 inference(nnf_transformation,[],[f37034])).
% 58.08/9.43 tff(f37034,plain,(
% 58.08/9.43 ! [X2 : X0,X0 : $tType,X1 : X0] : (? [X3 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & divide_divide(X0,one_one(X0),X3) = X1 & divide_divide(X0,one_one(X0),X1) = X3 & dvd_dvd(X0,X3,one_one(X0)) & zero_zero(X0) != X3) | ~sP1894(X0,X2,X1))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1894])])).
% 58.08/9.43 tff(f103014,plain,(
% 58.08/9.43 spl5880_4137),
% 58.08/9.43 inference(avatar_split_clause,[],[f52296,f103012])).
% 58.08/9.43 tff(f103012,plain,(
% 58.08/9.43 spl5880_4137 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),X2) = sK2715(X1,X0,X2) | ~sP1894(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4137])])).
% 58.08/9.43 tff(f52296,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),X2) = sK2715(X1,X0,X2) | ~sP1894(X1,X0,X2)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f39258])).
% 58.08/9.43 tff(f103010,plain,(
% 58.08/9.43 spl5880_4136),
% 58.08/9.43 inference(avatar_split_clause,[],[f52188,f103008])).
% 58.08/9.43 tff(f103008,plain,(
% 58.08/9.43 spl5880_4136 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = modulo_modulo(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4136])])).
% 58.08/9.43 tff(f52188,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = modulo_modulo(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29388])).
% 58.08/9.43 tff(f29388,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : modulo_modulo(X0,X1,X2) = modulo_modulo(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23654])).
% 58.08/9.43 tff(f23654,plain,(
% 58.08/9.43 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X1 : X0,X2 : X0] : modulo_modulo(X0,X1,X2) = modulo_modulo(X0,modulo_modulo(X0,X1,X2),X2))),
% 58.08/9.43 inference(rectify,[],[f312])).
% 58.08/9.43 tff(f312,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X11 : X0,X12 : X0] : modulo_modulo(X0,X11,X12) = modulo_modulo(X0,modulo_modulo(X0,X11,X12),X12))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_mod__mod__trivial)).
% 58.08/9.43 tff(f103006,plain,(
% 58.08/9.43 spl5880_4135),
% 58.08/9.43 inference(avatar_split_clause,[],[f52163,f103004])).
% 58.08/9.43 tff(f103004,plain,(
% 58.08/9.43 spl5880_4135 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X1),X2) = iG414(X0,X2,X1)) | ~bit_semiring_bits(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4135])])).
% 58.08/9.43 tff(f52163,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : nat,X1 : X0] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X1),X2) = iG414(X0,X2,X1)) | ~bit_semiring_bits(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29378])).
% 58.08/9.43 tff(f29378,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X1),X2) = iG414(X0,X2,X1)) | ~bit_semiring_bits(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f11139])).
% 58.08/9.43 tff(f11139,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X1),X2) = iG414(X0,X2,X1)))),
% 58.08/9.43 inference(fool_elimination,[],[f11136,f11138,f11137])).
% 58.08/9.43 tff(f11138,plain,(
% 58.08/9.43 ! [X2 : nat,X0 : $tType,X1 : X0] : (~zero_zero(nat) = X2 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat))) = iG414(X0,X2,X1))) & ! [X2 : nat,X0 : $tType,X1 : X0] : (zero_zero(nat) = X2 => (bG413(X0,X1) = iG414(X0,X2,X1)))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG414])])).
% 58.08/9.43 tff(f11136,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X1),X2) <=> $ite(zero_zero(nat) = X2, ~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1),aa(nat,$o,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat))))))),
% 58.08/9.43 inference(rectify,[],[f4548])).
% 58.08/9.43 tff(f4548,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0,X8 : nat] : (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X11),X8) <=> $ite(zero_zero(nat) = X8, ~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X11),aa(nat,$o,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4547_bit__rec)).
% 58.08/9.43 tff(f103002,plain,(
% 58.08/9.43 ~spl5880_4134 | ~spl5880_1444 | spl5880_3795),
% 58.08/9.43 inference(avatar_split_clause,[],[f100625,f100590,f85787,f102999])).
% 58.08/9.43 tff(f100625,plain,(
% 58.08/9.43 iG289 != iG714($true) | (~spl5880_1444 | spl5880_3795)),
% 58.08/9.43 inference(superposition,[],[f100591,f85789])).
% 58.08/9.43 tff(f100591,plain,(
% 58.08/9.43 one_one(nat) != iG289 | spl5880_3795),
% 58.08/9.43 inference(avatar_component_clause,[],[f100590])).
% 58.08/9.43 tff(f102997,plain,(
% 58.08/9.43 spl5880_4133),
% 58.08/9.43 inference(avatar_split_clause,[],[f51996,f102995])).
% 58.08/9.43 tff(f102995,plain,(
% 58.08/9.43 spl5880_4133 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~euclid3725896446679973847miring(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4133])])).
% 58.08/9.43 tff(f51996,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~euclid3725896446679973847miring(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29260])).
% 58.08/9.43 tff(f29260,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0))) | ~euclid3725896446679973847miring(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23566])).
% 58.08/9.43 tff(f23566,plain,(
% 58.08/9.43 ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => zero_zero(X0) = modulo_modulo(X0,X2,X1)))),
% 58.08/9.43 inference(rectify,[],[f2059])).
% 58.08/9.43 tff(f2059,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X12 : X0,X11 : X0] : (dvd_dvd(X0,X12,one_one(X0)) => modulo_modulo(X0,X11,X12) = zero_zero(X0)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2058_unit__imp__mod__eq__0)).
% 58.08/9.43 tff(f102993,plain,(
% 58.08/9.43 spl5880_4132),
% 58.08/9.43 inference(avatar_split_clause,[],[f51833,f102991])).
% 58.08/9.43 tff(f102991,plain,(
% 58.08/9.43 spl5880_4132 <=> ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) = iG403(X0,X1) | ~real_V822414075346904944vector(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4132])])).
% 58.08/9.43 tff(f51833,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) = iG403(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f29121])).
% 58.08/9.43 tff(f29121,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) = iG403(X0,X1) | ~real_V822414075346904944vector(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f10978])).
% 58.08/9.43 tff(f10978,plain,(
% 58.08/9.43 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) = iG403(X0,X1))),
% 58.08/9.43 inference(fool_elimination,[],[f10976,f10977])).
% 58.08/9.43 tff(f10977,plain,(
% 58.08/9.43 ! [X1 : X0,X0 : $tType] : (~zero_zero(X0) = X1 => one_one(real) = iG403(X0,X1)) & ! [X1 : X0,X0 : $tType] : (zero_zero(X0) = X1 => zero_zero(real) = iG403(X0,X1))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG403])])).
% 58.08/9.43 tff(f10976,plain,(
% 58.08/9.43 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) = $ite(zero_zero(X0) = X1, zero_zero(real),one_one(real)))),
% 58.08/9.43 inference(rectify,[],[f4687])).
% 58.08/9.43 tff(f4687,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X9 : X0] : real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X9)) = $ite(zero_zero(X0) = X9, zero_zero(real),one_one(real)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4686_norm__sgn)).
% 58.08/9.43 tff(f102989,plain,(
% 58.08/9.43 spl5880_4131),
% 58.08/9.43 inference(avatar_split_clause,[],[f51717,f102987])).
% 58.08/9.43 tff(f102987,plain,(
% 58.08/9.43 spl5880_4131 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ug(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4131])])).
% 58.08/9.43 tff(f51717,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ug(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28995])).
% 58.08/9.43 tff(f28995,plain,(
% 58.08/9.43 ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ug(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f6297])).
% 58.08/9.43 tff(f6297,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_ug(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6296_lim__1__over__n)).
% 58.08/9.43 tff(f102985,plain,(
% 58.08/9.43 spl5880_4130),
% 58.08/9.43 inference(avatar_split_clause,[],[f51716,f102983])).
% 58.08/9.43 tff(f102983,plain,(
% 58.08/9.43 spl5880_4130 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ui(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4130])])).
% 58.08/9.43 tff(f51716,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ui(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28994])).
% 58.08/9.43 tff(f28994,plain,(
% 58.08/9.43 ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_ui(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f6299])).
% 58.08/9.43 tff(f6299,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_ui(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6298_LIMSEQ__Suc__n__over__n)).
% 58.08/9.43 tff(f102981,plain,(
% 58.08/9.43 spl5880_4129),
% 58.08/9.43 inference(avatar_split_clause,[],[f51715,f102979])).
% 58.08/9.43 tff(f102979,plain,(
% 58.08/9.43 spl5880_4129 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_uh(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4129])])).
% 58.08/9.43 tff(f51715,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_uh(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28993])).
% 58.08/9.43 tff(f28993,plain,(
% 58.08/9.43 ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_uh(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f6298])).
% 58.08/9.43 tff(f6298,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_uh(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6297_LIMSEQ__n__over__Suc__n)).
% 58.08/9.43 tff(f102977,plain,(
% 58.08/9.43 spl5880_4128),
% 58.08/9.43 inference(avatar_split_clause,[],[f51390,f102975])).
% 58.08/9.43 tff(f102975,plain,(
% 58.08/9.43 spl5880_4128 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1) | ~linordered_field(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4128])])).
% 58.08/9.43 tff(f51390,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1) | ~linordered_field(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38957])).
% 58.08/9.43 tff(f38957,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = divide_divide(X0,one_one(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1))) | ~linordered_field(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f28733])).
% 58.08/9.43 tff(f28733,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) <=> zero_zero(X0) = X1) | ~linordered_field(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23389])).
% 58.08/9.43 tff(f23389,plain,(
% 58.08/9.43 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) <=> zero_zero(X0) = X1))),
% 58.08/9.43 inference(rectify,[],[f941])).
% 58.08/9.43 tff(f941,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0] : (divide_divide(X0,one_one(X0),X11) = zero_zero(X0) <=> zero_zero(X0) = X11))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_940_one__divide__eq__0__iff)).
% 58.08/9.43 tff(f102973,plain,(
% 58.08/9.43 spl5880_4127),
% 58.08/9.43 inference(avatar_split_clause,[],[f51244,f102971])).
% 58.08/9.43 tff(f102971,plain,(
% 58.08/9.43 spl5880_4127 <=> ! [X0 : $tType,X1 : X0] : (archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X1)) = iG356(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4127])])).
% 58.08/9.43 tff(f51244,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X1)) = iG356(X0,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28601])).
% 58.08/9.43 tff(f28601,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : X0] : archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X1)) = iG356(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f10369])).
% 58.08/9.43 tff(f10369,plain,(
% 58.08/9.43 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X1)) = iG356(X0,X1))),
% 58.08/9.43 inference(fool_elimination,[],[f10367,f10368])).
% 58.08/9.43 tff(f10368,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG356(X0,X1)) & ! [X0 : $tType,X1 : X0] : (member(X0,X1,ring_1_Ints(X0)) => zero_zero(X0) = iG356(X0,X1))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG356])])).
% 58.08/9.43 tff(f10367,plain,(
% 58.08/9.43 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X1)) = $ite(member(X0,X1,ring_1_Ints(X0)), zero_zero(X0),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1))))),
% 58.08/9.43 inference(rectify,[],[f4896])).
% 58.08/9.43 tff(f4896,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X9 : X0] : archimedean_frac(X0,aa(X0,X0,uminus_uminus(X0),X9)) = $ite(member(X0,X9,ring_1_Ints(X0)), zero_zero(X0),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X9))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4895_frac__neg)).
% 58.08/9.43 tff(f102969,plain,(
% 58.08/9.43 spl5880_4126),
% 58.08/9.43 inference(avatar_split_clause,[],[f51193,f102967])).
% 58.08/9.43 tff(f102967,plain,(
% 58.08/9.43 spl5880_4126 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG352(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4126])])).
% 58.08/9.43 tff(f51193,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG352(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28557])).
% 58.08/9.43 tff(f28557,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG352(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f10345])).
% 58.08/9.43 tff(f10345,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG352(X0,X1,X2))),
% 58.08/9.43 inference(fool_elimination,[],[f10342,f10344,f10343])).
% 58.08/9.43 tff(f10343,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : nat,X2 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),X2) = lG351(X0,X1,X2)),
% 58.08/9.43 introduced(fool_let_definition,[new_symbols(definition,[lG351])])).
% 58.08/9.43 tff(f10344,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : nat,X2 : X0] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG351(X0,X1,X2)),X1)) => lG351(X0,X1,X2) = iG352(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG351(X0,X1,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG351(X0,X1,X2)),aa(X0,X0,bit_se4730199178511100633sh_bit(X0,aa(nat,nat,suc,X1)),aa(X0,X0,uminus_uminus(X0),one_one(X0)))) = iG352(X0,X1,X2))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG352])])).
% 58.08/9.43 tff(f10342,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = $let(l239: X0, l239 := aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),X2), $ite(aa(nat,$o,bit_se5641148757651400278ts_bit(X0,l239),X1), aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),l239),aa(X0,X0,bit_se4730199178511100633sh_bit(X0,aa(nat,nat,suc,X1)),aa(X0,X0,uminus_uminus(X0),one_one(X0)))),l239)))),
% 58.08/9.43 inference(rectify,[],[f5027])).
% 58.08/9.43 tff(f5027,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat,X11 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X8),X11) = $let(l239: X0, l239 := aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X8)),X11), $ite(aa(nat,$o,bit_se5641148757651400278ts_bit(X0,l239),X8), aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),l239),aa(X0,X0,bit_se4730199178511100633sh_bit(X0,aa(nat,nat,suc,X8)),aa(X0,X0,uminus_uminus(X0),one_one(X0)))),l239)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5026_signed__take__bit__code)).
% 58.08/9.43 tff(f102965,plain,(
% 58.08/9.43 spl5880_4125),
% 58.08/9.43 inference(avatar_split_clause,[],[f51192,f102963])).
% 58.08/9.43 tff(f102963,plain,(
% 58.08/9.43 spl5880_4125 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG350(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4125])])).
% 58.08/9.43 tff(f51192,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG350(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28556])).
% 58.08/9.43 tff(f28556,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG350(X0,X1,X2) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f10341])).
% 58.08/9.43 tff(f10341,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = iG350(X0,X1,X2))),
% 58.08/9.43 inference(fool_elimination,[],[f10339,f10340])).
% 58.08/9.43 tff(f10340,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG350(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => aa(X0,X0,uminus_uminus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG350(X0,X1,X2))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG350])])).
% 58.08/9.43 tff(f10339,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat,X2 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),X2) = $ite(zero_zero(nat) = X1, aa(X0,X0,uminus_uminus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))))),
% 58.08/9.43 inference(rectify,[],[f2306])).
% 58.08/9.43 tff(f2306,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat,X11 : X0] : aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X8),X11) = $ite(zero_zero(nat) = X8, aa(X0,X0,uminus_uminus(X0),modulo_modulo(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))),divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))))))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2305_signed__take__bit__rec)).
% 58.08/9.43 tff(f102961,plain,(
% 58.08/9.43 spl5880_4124),
% 58.08/9.43 inference(avatar_split_clause,[],[f51123,f102959])).
% 58.08/9.43 tff(f102959,plain,(
% 58.08/9.43 spl5880_4124 <=> ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4124])])).
% 58.08/9.43 tff(f51123,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28489])).
% 58.08/9.43 tff(f28489,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23269])).
% 58.08/9.43 tff(f23269,plain,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)))),
% 58.08/9.43 inference(rectify,[],[f2951])).
% 58.08/9.43 tff(f2951,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : bit_se2239418461657761734s_mask(X0,X8) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X8)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2950_of__int__mask__eq)).
% 58.08/9.43 tff(f102957,plain,(
% 58.08/9.43 spl5880_4123 | ~spl5880_2586 | ~spl5880_2713 | ~spl5880_3453),
% 58.08/9.43 inference(avatar_split_clause,[],[f98067,f98062,f93659,f93126,f102954])).
% 58.08/9.43 tff(f102954,plain,(
% 58.08/9.43 spl5880_4123 <=> newlist75 = newlist81),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4123])])).
% 58.08/9.43 tff(f93126,plain,(
% 58.08/9.43 spl5880_2586 <=> list_update(vEBT_VEBT,treeList,h79,newnode80) = newlist81),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_2586])])).
% 58.08/9.43 tff(f93659,plain,(
% 58.08/9.43 spl5880_2713 <=> newlist75 = list_update(vEBT_VEBT,treeList,h79,newnode74)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_2713])])).
% 58.08/9.43 tff(f98062,plain,(
% 58.08/9.43 spl5880_3453 <=> newnode74 = newnode80),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3453])])).
% 58.08/9.43 tff(f98067,plain,(
% 58.08/9.43 newlist75 = newlist81 | (~spl5880_2586 | ~spl5880_2713 | ~spl5880_3453)),
% 58.08/9.43 inference(forward_demodulation,[],[f98066,f93661])).
% 58.08/9.43 tff(f93661,plain,(
% 58.08/9.43 newlist75 = list_update(vEBT_VEBT,treeList,h79,newnode74) | ~spl5880_2713),
% 58.08/9.43 inference(avatar_component_clause,[],[f93659])).
% 58.08/9.43 tff(f98066,plain,(
% 58.08/9.43 newlist81 = list_update(vEBT_VEBT,treeList,h79,newnode74) | (~spl5880_2586 | ~spl5880_3453)),
% 58.08/9.43 inference(superposition,[],[f93128,f98064])).
% 58.08/9.43 tff(f98064,plain,(
% 58.08/9.43 newnode74 = newnode80 | ~spl5880_3453),
% 58.08/9.43 inference(avatar_component_clause,[],[f98062])).
% 58.08/9.43 tff(f93128,plain,(
% 58.08/9.43 list_update(vEBT_VEBT,treeList,h79,newnode80) = newlist81 | ~spl5880_2586),
% 58.08/9.43 inference(avatar_component_clause,[],[f93126])).
% 58.08/9.43 tff(f102952,plain,(
% 58.08/9.43 spl5880_4122),
% 58.08/9.43 inference(avatar_split_clause,[],[f51067,f102950])).
% 58.08/9.43 tff(f102950,plain,(
% 58.08/9.43 spl5880_4122 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),times_times(X0),X2)) | ~real_V4412858255891104859lgebra(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4122])])).
% 58.08/9.43 tff(f51067,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),times_times(X0),X2)) | ~real_V4412858255891104859lgebra(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28430])).
% 58.08/9.43 tff(f28430,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),times_times(X0),X2)) | ~real_V4412858255891104859lgebra(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23234])).
% 58.08/9.43 tff(f23234,plain,(
% 58.08/9.43 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),times_times(X0),X2)))),
% 58.08/9.43 inference(rectify,[],[f6629])).
% 58.08/9.43 tff(f6629,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X55 : set(X0),X17 : X0] : topolo81223032696312382ous_on(X0,X0,X55,aa(X0,fun(X0,X0),times_times(X0),X17)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6628_continuous__on__mult__const)).
% 58.08/9.43 tff(f102948,plain,(
% 58.08/9.43 spl5880_4121),
% 58.08/9.43 inference(avatar_split_clause,[],[f51041,f102946])).
% 58.08/9.43 tff(f102946,plain,(
% 58.08/9.43 spl5880_4121 <=> ! [X0 : $tType,X3 : set(X0),X2 : X0,X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) | ~sP1860(X0,X1,X2,X3) | ~sP1861(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4121])])).
% 58.08/9.43 tff(f51041,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : fun(X0,$o)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) | ~sP1860(X0,X1,X2,X3) | ~sP1861(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38903])).
% 58.08/9.43 tff(f38903,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : ((eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) | ~sP1860(X0,X1,X2,X3)) & (sP1860(X0,X1,X2,X3) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)))) | ~sP1861(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f36983])).
% 58.08/9.43 tff(f36983,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) <=> sP1860(X0,X1,X2,X3)) | ~sP1861(X0))),
% 58.08/9.43 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1861])])).
% 58.08/9.43 tff(f102944,plain,(
% 58.08/9.43 spl5880_4120),
% 58.08/9.43 inference(avatar_split_clause,[],[f51040,f102942])).
% 58.08/9.43 tff(f102942,plain,(
% 58.08/9.43 spl5880_4120 <=> ! [X0 : $tType,X3 : set(X0),X2 : X0,X1 : fun(X0,$o)] : (sP1860(X0,X1,X2,X3) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) | ~sP1861(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4120])])).
% 58.08/9.43 tff(f51040,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : fun(X0,$o)] : (sP1860(X0,X1,X2,X3) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) | ~sP1861(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38903])).
% 58.08/9.43 tff(f102940,plain,(
% 58.08/9.43 spl5880_4119),
% 58.08/9.43 inference(avatar_split_clause,[],[f50864,f102938])).
% 58.08/9.43 tff(f102938,plain,(
% 58.08/9.43 spl5880_4119 <=> ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | zero_zero(X0) != sK2588(X0,X1) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4119])])).
% 58.08/9.43 tff(f50864,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | zero_zero(X0) != sK2588(X0,X1) | ~canoni5634975068530333245id_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38791])).
% 58.08/9.43 tff(f38791,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | (zero_zero(X0) != sK2588(X0,X1) & member(X0,sK2588(X0,X1),aa(list(X0),set(X0),set2(X0),X1)))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2588])],[f38789,f38790])).
% 58.08/9.43 tff(f38790,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0] : (zero_zero(X0) != X2 & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) => (zero_zero(X0) != sK2588(X0,X1) & member(X0,sK2588(X0,X1),aa(list(X0),set(X0),set2(X0),X1))))),
% 58.08/9.43 introduced(choice_axiom,[])).
% 58.08/9.43 tff(f38789,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | ? [X2 : X0] : (zero_zero(X0) != X2 & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.43 inference(rectify,[],[f38788])).
% 58.08/9.43 tff(f38788,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = groups8242544230860333062m_list(X0,X1) | ? [X2 : X0] : (zero_zero(X0) != X2 & member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) & (! [X2 : X0] : (zero_zero(X0) = X2 | ~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) | zero_zero(X0) != groups8242544230860333062m_list(X0,X1))) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.43 inference(nnf_transformation,[],[f28312])).
% 58.08/9.43 tff(f28312,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X2 : X0] : (zero_zero(X0) = X2 | ~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)))) | ~canoni5634975068530333245id_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23185])).
% 58.08/9.43 tff(f23185,plain,(
% 58.08/9.43 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X1) <=> ! [X2 : X0] : (member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => zero_zero(X0) = X2)))),
% 58.08/9.43 inference(rectify,[],[f7935])).
% 58.08/9.43 tff(f7935,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X413 : list(X0)] : (zero_zero(X0) = groups8242544230860333062m_list(X0,X413) <=> ! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X413)) => zero_zero(X0) = X65)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7934_sum__list__eq__0__iff)).
% 58.08/9.43 tff(f102936,plain,(
% 58.08/9.43 spl5880_4118),
% 58.08/9.43 inference(avatar_split_clause,[],[f50780,f102934])).
% 58.08/9.43 tff(f102934,plain,(
% 58.08/9.43 spl5880_4118 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4118])])).
% 58.08/9.43 tff(f50780,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0)) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28256])).
% 58.08/9.43 tff(f28256,plain,(
% 58.08/9.43 ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0))),
% 58.08/9.43 inference(ennf_transformation,[],[f23154])).
% 58.08/9.43 tff(f23154,plain,(
% 58.08/9.43 ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)))),
% 58.08/9.43 inference(rectify,[],[f6628])).
% 58.08/9.43 tff(f6628,axiom,(
% 58.08/9.43 ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X55 : set(X0),X9 : X0] : topolo81223032696312382ous_on(X0,X0,X55,aa(X0,fun(X0,X0),minus_minus(X0),X9)))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6627_continuous__on__op__minus)).
% 58.08/9.43 tff(f102932,plain,(
% 58.08/9.43 spl5880_4117),
% 58.08/9.43 inference(avatar_split_clause,[],[f50298,f102930])).
% 58.08/9.43 tff(f102930,plain,(
% 58.08/9.43 spl5880_4117 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_um(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4117])])).
% 58.08/9.43 tff(f50298,plain,(
% 58.08/9.43 ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_um(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22827])).
% 58.08/9.43 tff(f22827,plain,(
% 58.08/9.43 ! [X0 : real] : filterlim(nat,real,aTP_Lamp_um(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 inference(rectify,[],[f6308])).
% 58.08/9.43 tff(f6308,axiom,(
% 58.08/9.43 ! [X92 : real] : filterlim(nat,real,aTP_Lamp_um(real,fun(nat,real),X92),topolo7230453075368039082e_nhds(real,X92),at_top(nat))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6307_LIMSEQ__inverse__real__of__nat__add__minus)).
% 58.08/9.43 tff(f102928,plain,(
% 58.08/9.43 spl5880_4116),
% 58.08/9.43 inference(avatar_split_clause,[],[f50297,f102926])).
% 58.08/9.43 tff(f102926,plain,(
% 58.08/9.43 spl5880_4116 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_ue(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4116])])).
% 58.08/9.43 tff(f50297,plain,(
% 58.08/9.43 ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_ue(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22826])).
% 58.08/9.43 tff(f22826,plain,(
% 58.08/9.43 ! [X0 : real] : filterlim(nat,real,aTP_Lamp_ue(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 inference(rectify,[],[f6294])).
% 58.08/9.43 tff(f6294,axiom,(
% 58.08/9.43 ! [X92 : real] : filterlim(nat,real,aTP_Lamp_ue(real,fun(nat,real),X92),topolo7230453075368039082e_nhds(real,X92),at_top(nat))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6293_LIMSEQ__inverse__real__of__nat__add)).
% 58.08/9.43 tff(f102924,plain,(
% 58.08/9.43 spl5880_4115),
% 58.08/9.43 inference(avatar_split_clause,[],[f50296,f102922])).
% 58.08/9.43 tff(f102922,plain,(
% 58.08/9.43 spl5880_4115 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_up(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4115])])).
% 58.08/9.43 tff(f50296,plain,(
% 58.08/9.43 ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_up(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22825])).
% 58.08/9.43 tff(f22825,plain,(
% 58.08/9.43 ! [X0 : real] : filterlim(nat,real,aTP_Lamp_up(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 58.08/9.43 inference(rectify,[],[f6317])).
% 58.08/9.43 tff(f6317,axiom,(
% 58.08/9.43 ! [X92 : real] : filterlim(nat,real,aTP_Lamp_up(real,fun(nat,real),X92),topolo7230453075368039082e_nhds(real,X92),at_top(nat))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6316_LIMSEQ__inverse__real__of__nat__add__minus__mult)).
% 58.08/9.43 tff(f102920,plain,(
% 58.08/9.43 spl5880_4114),
% 58.08/9.43 inference(avatar_split_clause,[],[f50295,f102918])).
% 58.08/9.43 tff(f102918,plain,(
% 58.08/9.43 spl5880_4114 <=> ! [X0 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),X0),one2) = X0),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4114])])).
% 58.08/9.43 tff(f50295,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,num,aa(num,fun(num,num),times_times(num),X0),one2) = X0) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22824])).
% 58.08/9.43 tff(f22824,plain,(
% 58.08/9.43 ! [X0 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),X0),one2) = X0),
% 58.08/9.43 inference(rectify,[],[f90])).
% 58.08/9.43 tff(f90,axiom,(
% 58.08/9.43 ! [X15 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),X15),one2) = X15),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_semiring__norm_I11_J)).
% 58.08/9.43 tff(f102916,plain,(
% 58.08/9.43 spl5880_4113),
% 58.08/9.43 inference(avatar_split_clause,[],[f50294,f102914])).
% 58.08/9.43 tff(f102914,plain,(
% 58.08/9.43 spl5880_4113 <=> ! [X0 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),one2),X0) = X0),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4113])])).
% 58.08/9.43 tff(f50294,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,num,aa(num,fun(num,num),times_times(num),one2),X0) = X0) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22823])).
% 58.08/9.43 tff(f22823,plain,(
% 58.08/9.43 ! [X0 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),one2),X0) = X0),
% 58.08/9.43 inference(rectify,[],[f89])).
% 58.08/9.43 tff(f89,axiom,(
% 58.08/9.43 ! [X8 : num] : aa(num,num,aa(num,fun(num,num),times_times(num),one2),X8) = X8),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_semiring__norm_I12_J)).
% 58.08/9.43 tff(f102912,plain,(
% 58.08/9.43 ~spl5880_4112 | ~spl5880_3027 | ~spl5880_3200),
% 58.08/9.43 inference(avatar_split_clause,[],[f97259,f96705,f95324,f102909])).
% 58.08/9.43 tff(f102909,plain,(
% 58.08/9.43 spl5880_4112 <=> sP2092(aTP_Lamp_abs(real,$o))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4112])])).
% 58.08/9.43 tff(f96705,plain,(
% 58.08/9.43 spl5880_3200 <=> ! [X0 : fun(real,$o)] : (($true != aa(real,$o,X0,sK4069(X0))) | ~sP2092(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3200])])).
% 58.08/9.43 tff(f97259,plain,(
% 58.08/9.43 ~sP2092(aTP_Lamp_abs(real,$o)) | (~spl5880_3027 | ~spl5880_3200)),
% 58.08/9.43 inference(trivial_inequality_removal,[],[f97256])).
% 58.08/9.43 tff(f97256,plain,(
% 58.08/9.43 ($true != $true) | ~sP2092(aTP_Lamp_abs(real,$o)) | (~spl5880_3027 | ~spl5880_3200)),
% 58.08/9.43 inference(superposition,[],[f96706,f95325])).
% 58.08/9.43 tff(f96706,plain,(
% 58.08/9.43 ( ! [X0 : fun(real,$o)] : (($true != aa(real,$o,X0,sK4069(X0))) | ~sP2092(X0)) ) | ~spl5880_3200),
% 58.08/9.43 inference(avatar_component_clause,[],[f96705])).
% 58.08/9.43 tff(f102907,plain,(
% 58.08/9.43 spl5880_4111),
% 58.08/9.43 inference(avatar_split_clause,[],[f50290,f102905])).
% 58.08/9.43 tff(f102905,plain,(
% 58.08/9.43 spl5880_4111 <=> ! [X0 : num] : aa(num,complex,numeral_numeral(complex),X0) = cnj(aa(num,complex,numeral_numeral(complex),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4111])])).
% 58.08/9.43 tff(f50290,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,complex,numeral_numeral(complex),X0) = cnj(aa(num,complex,numeral_numeral(complex),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22819])).
% 58.08/9.43 tff(f22819,plain,(
% 58.08/9.43 ! [X0 : num] : aa(num,complex,numeral_numeral(complex),X0) = cnj(aa(num,complex,numeral_numeral(complex),X0))),
% 58.08/9.43 inference(rectify,[],[f5301])).
% 58.08/9.43 tff(f5301,axiom,(
% 58.08/9.43 ! [X20 : num] : aa(num,complex,numeral_numeral(complex),X20) = cnj(aa(num,complex,numeral_numeral(complex),X20))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5300_complex__cnj__numeral)).
% 58.08/9.43 tff(f102903,plain,(
% 58.08/9.43 spl5880_4110),
% 58.08/9.43 inference(avatar_split_clause,[],[f50288,f102901])).
% 58.08/9.43 tff(f102901,plain,(
% 58.08/9.43 spl5880_4110 <=> ! [X0 : real] : aa(real,real,arccos,X0) = the(real,aTP_Lamp_jj(real,fun(real,$o),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4110])])).
% 58.08/9.43 tff(f50288,plain,(
% 58.08/9.43 ( ! [X0 : real] : (aa(real,real,arccos,X0) = the(real,aTP_Lamp_jj(real,fun(real,$o),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22817])).
% 58.08/9.43 tff(f22817,plain,(
% 58.08/9.43 ! [X0 : real] : aa(real,real,arccos,X0) = the(real,aTP_Lamp_jj(real,fun(real,$o),X0))),
% 58.08/9.43 inference(rectify,[],[f4543])).
% 58.08/9.43 tff(f4543,axiom,(
% 58.08/9.43 ! [X18 : real] : aa(real,real,arccos,X18) = the(real,aTP_Lamp_jj(real,fun(real,$o),X18))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4542_arccos__def)).
% 58.08/9.43 tff(f102899,plain,(
% 58.08/9.43 spl5880_4109),
% 58.08/9.43 inference(avatar_split_clause,[],[f50287,f102897])).
% 58.08/9.43 tff(f102897,plain,(
% 58.08/9.43 spl5880_4109 <=> ! [X0 : real] : aa(real,real,arcsin,X0) = the(real,aTP_Lamp_jh(real,fun(real,$o),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4109])])).
% 58.08/9.43 tff(f50287,plain,(
% 58.08/9.43 ( ! [X0 : real] : (aa(real,real,arcsin,X0) = the(real,aTP_Lamp_jh(real,fun(real,$o),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22816])).
% 58.08/9.43 tff(f22816,plain,(
% 58.08/9.43 ! [X0 : real] : aa(real,real,arcsin,X0) = the(real,aTP_Lamp_jh(real,fun(real,$o),X0))),
% 58.08/9.43 inference(rectify,[],[f4502])).
% 58.08/9.43 tff(f4502,axiom,(
% 58.08/9.43 ! [X18 : real] : aa(real,real,arcsin,X18) = the(real,aTP_Lamp_jh(real,fun(real,$o),X18))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4501_arcsin__def)).
% 58.08/9.43 tff(f102895,plain,(
% 58.08/9.43 spl5880_4108),
% 58.08/9.43 inference(avatar_split_clause,[],[f50286,f102893])).
% 58.08/9.43 tff(f102893,plain,(
% 58.08/9.43 spl5880_4108 <=> ! [X0 : real] : aa(real,real,arctan,X0) = the(real,aTP_Lamp_jg(real,fun(real,$o),X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4108])])).
% 58.08/9.43 tff(f50286,plain,(
% 58.08/9.43 ( ! [X0 : real] : (aa(real,real,arctan,X0) = the(real,aTP_Lamp_jg(real,fun(real,$o),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f22815])).
% 58.08/9.43 tff(f22815,plain,(
% 58.08/9.43 ! [X0 : real] : aa(real,real,arctan,X0) = the(real,aTP_Lamp_jg(real,fun(real,$o),X0))),
% 58.08/9.43 inference(rectify,[],[f4501])).
% 58.08/9.43 tff(f4501,axiom,(
% 58.08/9.43 ! [X18 : real] : aa(real,real,arctan,X18) = the(real,aTP_Lamp_jg(real,fun(real,$o),X18))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4500_arctan__def)).
% 58.08/9.43 tff(f102891,plain,(
% 58.08/9.43 spl5880_4107),
% 58.08/9.43 inference(avatar_split_clause,[],[f50285,f102889])).
% 58.08/9.43 tff(f50285,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f6770])).
% 58.08/9.43 tff(f6770,axiom,(
% 58.08/9.43 ! [X0 : $tType] : bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6769_empty__set)).
% 58.08/9.43 tff(f102884,plain,(
% 58.08/9.43 spl5880_4106),
% 58.08/9.43 inference(avatar_split_clause,[],[f50175,f102881])).
% 58.08/9.43 tff(f50175,plain,(
% 58.08/9.43 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) = $true)),
% 58.08/9.43 inference(cnf_transformation,[],[f9889])).
% 58.08/9.43 tff(f9889,plain,(
% 58.08/9.43 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) = $true) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),xa) = $true)),
% 58.08/9.43 inference(fool_elimination,[],[f9888])).
% 58.08/9.43 tff(f9888,plain,(
% 58.08/9.43 aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),xa)),
% 58.08/9.43 inference(rectify,[],[f308])).
% 58.08/9.43 tff(f308,axiom,(
% 58.08/9.43 aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),xa),ma) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),xa)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307__092_060open_062mi_A_092_060le_062_Ax_A_092_060and_062_Ax_A_092_060le_062_Ama_092_060close_062)).
% 58.08/9.43 tff(f102878,plain,(
% 58.08/9.43 spl5880_4105),
% 58.08/9.43 inference(avatar_split_clause,[],[f50174,f102875])).
% 58.08/9.43 tff(f102875,plain,(
% 58.08/9.43 spl5880_4105 <=> (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),xa) = $true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4105])])).
% 58.08/9.43 tff(f50174,plain,(
% 58.08/9.43 (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),mi),xa) = $true)),
% 58.08/9.43 inference(cnf_transformation,[],[f9889])).
% 58.08/9.43 tff(f102873,plain,(
% 58.08/9.43 spl5880_4104),
% 58.08/9.43 inference(avatar_split_clause,[],[f50063,f102870])).
% 58.08/9.43 tff(f102870,plain,(
% 58.08/9.43 spl5880_4104 <=> deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4104])])).
% 58.08/9.43 tff(f50063,plain,(
% 58.08/9.43 deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 58.08/9.43 inference(cnf_transformation,[],[f6])).
% 58.08/9.43 tff(f6,axiom,(
% 58.08/9.43 deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 58.08/9.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__C5_Ohyps_C_I4_J)).
% 58.08/9.43 tff(f102868,plain,(
% 58.08/9.43 spl5880_4103),
% 58.08/9.43 inference(avatar_split_clause,[],[f48961,f102866])).
% 58.08/9.43 tff(f102866,plain,(
% 58.08/9.43 spl5880_4103 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG416(X0,X1,X2,X3) | zero_zero(X0) = X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4103])])).
% 58.08/9.43 tff(f48961,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG416(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28027])).
% 58.08/9.43 tff(f28027,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X3,X2) = iG416(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = iG416(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 58.08/9.43 inference(ennf_transformation,[],[f22494])).
% 58.08/9.43 tff(f22494,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,X3,X2) = iG416(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG416(X4,X5,X6,X7))),
% 58.08/9.43 inference(flattening,[],[f22493])).
% 58.08/9.43 tff(f22493,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X3,X2) = iG416(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG416(X4,X5,X6,X7))),
% 58.08/9.43 inference(rectify,[],[f11154])).
% 58.08/9.43 tff(f11154,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X2,X3) = iG416(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG416(X0,X1,X3,X2))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG416])])).
% 58.08/9.43 tff(f102864,plain,(
% 58.08/9.43 spl5880_4102),
% 58.08/9.43 inference(avatar_split_clause,[],[f48945,f102862])).
% 58.08/9.43 tff(f102862,plain,(
% 58.08/9.43 spl5880_4102 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG424(X0,X1,X2,X3) | zero_zero(X0) = X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4102])])).
% 58.08/9.43 tff(f48945,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG424(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 58.08/9.43 inference(cnf_transformation,[],[f28020])).
% 58.08/9.43 tff(f28020,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X3,X2) = iG424(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = iG424(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 58.08/9.43 inference(ennf_transformation,[],[f22479])).
% 58.08/9.43 tff(f22479,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,X3,X2) = iG424(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG424(X4,X5,X6,X7))),
% 58.08/9.43 inference(flattening,[],[f22478])).
% 58.08/9.43 tff(f22478,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X3,X2) = iG424(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG424(X4,X5,X6,X7))),
% 58.08/9.43 inference(rectify,[],[f11230])).
% 58.08/9.43 tff(f11230,plain,(
% 58.08/9.43 ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X2,X3) = iG424(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG424(X0,X1,X3,X2))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG424])])).
% 58.08/9.43 tff(f102860,plain,(
% 58.08/9.43 ~spl5880_4101 | ~spl5880_1444 | spl5880_2973),
% 58.08/9.43 inference(avatar_split_clause,[],[f95105,f95101,f85787,f102857])).
% 58.08/9.43 tff(f102857,plain,(
% 58.08/9.43 spl5880_4101 <=> iG270 = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4101])])).
% 58.08/9.43 tff(f95105,plain,(
% 58.08/9.43 iG270 != iG714($true) | (~spl5880_1444 | spl5880_2973)),
% 58.08/9.43 inference(superposition,[],[f95102,f85789])).
% 58.08/9.43 tff(f102855,plain,(
% 58.08/9.43 spl5880_4100),
% 58.08/9.43 inference(avatar_split_clause,[],[f48402,f102853])).
% 58.08/9.43 tff(f102853,plain,(
% 58.08/9.43 spl5880_4100 <=> ! [X0 : nat,X1 : int] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) | ($true != bG677(X0,X1)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4100])])).
% 58.08/9.43 tff(f48402,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : int] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) | ($true != bG677(X0,X1))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38530])).
% 58.08/9.43 tff(f38530,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : int] : ((($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) | ($true != bG677(X0,X1))) & (($true = bG677(X0,X1)) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0))))),
% 58.08/9.43 inference(nnf_transformation,[],[f22098])).
% 58.08/9.43 tff(f22098,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : int] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) <=> ($true = bG677(X0,X1)))),
% 58.08/9.43 inference(flattening,[],[f14705])).
% 58.08/9.43 tff(f14705,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : int] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) <=> ($true = bG677(X0,X1)))),
% 58.08/9.43 introduced(fool_formula_definition,[new_symbols(definition,[bG677])])).
% 58.08/9.43 tff(f102851,plain,(
% 58.08/9.43 spl5880_4099),
% 58.08/9.43 inference(avatar_split_clause,[],[f48401,f102849])).
% 58.08/9.43 tff(f102849,plain,(
% 58.08/9.43 spl5880_4099 <=> ! [X0 : nat,X1 : int] : (($true = bG677(X0,X1)) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4099])])).
% 58.08/9.43 tff(f48401,plain,(
% 58.08/9.43 ( ! [X0 : nat,X1 : int] : (($true = bG677(X0,X1)) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0))) )),
% 58.08/9.43 inference(cnf_transformation,[],[f38530])).
% 58.08/9.43 tff(f102846,plain,(
% 58.08/9.43 spl5880_4098),
% 58.08/9.43 inference(avatar_split_clause,[],[f47246,f102844])).
% 58.08/9.43 tff(f47246,plain,(
% 58.08/9.43 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1)) | one_one(nat) = X0) )),
% 58.08/9.43 inference(cnf_transformation,[],[f27627])).
% 58.08/9.43 tff(f27627,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1242(X5),$true) = iG1245(X3,X4,X5) | one_one(nat) != X3)),
% 58.08/9.43 inference(ennf_transformation,[],[f21332])).
% 58.08/9.43 tff(f21332,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1242(X5),$true) = iG1245(X3,X4,X5))),
% 58.08/9.43 inference(flattening,[],[f21331])).
% 58.08/9.43 tff(f21331,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG1245(X0,X1,X2) = vEBT_Leaf(bG1243(X2),bG1244(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1242(X5),$true) = iG1245(X3,X4,X5))),
% 58.08/9.43 inference(rectify,[],[f17595])).
% 58.08/9.43 tff(f17595,plain,(
% 58.08/9.43 ! [X1 : nat,X4 : $o,X3 : $o] : (~one_one(nat) = X1 => vEBT_Leaf(bG1243(X3),bG1244(X4)) = iG1245(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (one_one(nat) = X1 => vEBT_Leaf(bG1242(X3),$true) = iG1245(X1,X4,X3))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG1245])])).
% 58.08/9.43 tff(f102841,plain,(
% 58.08/9.43 spl5880_4097),
% 58.08/9.43 inference(avatar_split_clause,[],[f47218,f102839])).
% 58.08/9.43 tff(f47218,plain,(
% 58.08/9.43 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1)) | one_one(nat) = X0) )),
% 58.08/9.43 inference(cnf_transformation,[],[f27620])).
% 58.08/9.43 tff(f27620,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1256(X5),$true) = iG1259(X3,X4,X5) | one_one(nat) != X3)),
% 58.08/9.43 inference(ennf_transformation,[],[f21313])).
% 58.08/9.43 tff(f21313,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1256(X5),$true) = iG1259(X3,X4,X5))),
% 58.08/9.43 inference(flattening,[],[f21312])).
% 58.08/9.43 tff(f21312,plain,(
% 58.08/9.43 ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG1259(X0,X1,X2) = vEBT_Leaf(bG1257(X2),bG1258(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG1256(X5),$true) = iG1259(X3,X4,X5))),
% 58.08/9.43 inference(rectify,[],[f17611])).
% 58.08/9.43 tff(f17611,plain,(
% 58.08/9.43 ! [X1 : nat,X4 : $o,X3 : $o] : (~one_one(nat) = X1 => vEBT_Leaf(bG1257(X3),bG1258(X4)) = iG1259(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (one_one(nat) = X1 => vEBT_Leaf(bG1256(X3),$true) = iG1259(X1,X4,X3))),
% 58.08/9.43 introduced(fool_ite_definition,[new_symbols(definition,[iG1259])])).
% 58.08/9.43 tff(f102837,plain,(
% 58.08/9.43 spl5880_4096),
% 58.08/9.43 inference(avatar_split_clause,[],[f46154,f102835])).
% 58.08/9.43 tff(f102835,plain,(
% 58.08/9.43 spl5880_4096 <=> ! [X5 : list(vEBT_VEBT),X1 : nat,X4 : nat,X2 : nat,X0 : nat,X6 : nat,X3 : vEBT_VEBT,X7 : nat] : (iG1814(X0,X1,X2,X3,X4,X5,X6,X7) = X0 | X0 = X1)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4096])])).
% 58.08/9.43 tff(f46154,plain,(
% 58.08/9.43 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X6 : nat,X7 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (iG1814(X0,X1,X2,X3,X4,X5,X6,X7) = X0 | X0 = X1) )),
% 58.08/9.43 inference(cnf_transformation,[],[f27323])).
% 58.08/9.43 tff(f102829,plain,(
% 58.08/9.43 ~spl5880_4095 | ~spl5880_1444 | spl5880_2970),
% 58.08/9.43 inference(avatar_split_clause,[],[f95090,f95085,f85787,f102826])).
% 58.08/9.43 tff(f102826,plain,(
% 58.08/9.43 spl5880_4095 <=> iG281 = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4095])])).
% 58.08/9.43 tff(f95090,plain,(
% 58.08/9.43 iG281 != iG714($true) | (~spl5880_1444 | spl5880_2970)),
% 58.08/9.43 inference(superposition,[],[f95086,f85789])).
% 58.08/9.43 tff(f102807,plain,(
% 58.08/9.43 ~spl5880_4094 | ~spl5880_1444 | spl5880_2968),
% 58.08/9.43 inference(avatar_split_clause,[],[f95079,f95075,f85787,f102804])).
% 58.08/9.43 tff(f102804,plain,(
% 58.08/9.43 spl5880_4094 <=> iG288 = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4094])])).
% 58.08/9.43 tff(f95079,plain,(
% 58.08/9.43 iG288 != iG714($true) | (~spl5880_1444 | spl5880_2968)),
% 58.08/9.43 inference(superposition,[],[f95076,f85789])).
% 58.08/9.43 tff(f102737,plain,(
% 58.08/9.43 ~spl5880_4093 | ~spl5880_2241 | ~spl5880_2835),
% 58.08/9.43 inference(avatar_split_clause,[],[f94879,f94449,f89927,f102734])).
% 58.08/9.43 tff(f102734,plain,(
% 58.08/9.43 spl5880_4093 <=> m = iG717($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4093])])).
% 58.08/9.43 tff(f89927,plain,(
% 58.08/9.43 spl5880_2241 <=> m = aa(nat,nat,suc,na)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_2241])])).
% 58.08/9.43 tff(f94879,plain,(
% 58.08/9.43 m != iG717($true) | (~spl5880_2241 | ~spl5880_2835)),
% 58.08/9.43 inference(superposition,[],[f94450,f89929])).
% 58.08/9.43 tff(f89929,plain,(
% 58.08/9.43 m = aa(nat,nat,suc,na) | ~spl5880_2241),
% 58.08/9.43 inference(avatar_component_clause,[],[f89927])).
% 58.08/9.43 tff(f102674,plain,(
% 58.08/9.43 spl5880_4092 | ~spl5880_1487 | ~spl5880_2259),
% 58.08/9.43 inference(avatar_split_clause,[],[f92676,f90003,f86041,f102672])).
% 58.08/9.43 tff(f102672,plain,(
% 58.08/9.43 spl5880_4092 <=> ! [X0 : int] : sP2121(X0,zero_zero(int))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4092])])).
% 58.08/9.43 tff(f92676,plain,(
% 58.08/9.43 ( ! [X0 : int] : (sP2121(X0,zero_zero(int))) ) | (~spl5880_1487 | ~spl5880_2259)),
% 58.08/9.43 inference(resolution,[],[f90004,f86042])).
% 58.08/9.43 tff(f102650,plain,(
% 58.08/9.43 spl5880_4091 | ~spl5880_2573 | ~spl5880_4037),
% 58.08/9.43 inference(avatar_split_clause,[],[f101820,f101817,f93028,f102648])).
% 58.08/9.43 tff(f102648,plain,(
% 58.08/9.43 spl5880_4091 <=> ! [X0 : vEBT_VEBT,X1 : nat,X3 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1811(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4091])])).
% 58.08/9.43 tff(f101817,plain,(
% 58.08/9.43 spl5880_4037 <=> ! [X0 : vEBT_VEBT,X1 : nat,X3 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4037])])).
% 58.08/9.43 tff(f101820,plain,(
% 58.08/9.43 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1811(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) ) | (~spl5880_2573 | ~spl5880_4037)),
% 58.08/9.43 inference(forward_demodulation,[],[f101818,f93029])).
% 58.08/9.43 tff(f101818,plain,(
% 58.08/9.43 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl5880_4037),
% 58.08/9.43 inference(avatar_component_clause,[],[f101817])).
% 58.08/9.43 tff(f102646,plain,(
% 58.08/9.43 spl5880_4090 | ~spl5880_2573 | ~spl5880_4036),
% 58.08/9.43 inference(avatar_split_clause,[],[f101815,f101812,f93028,f102644])).
% 58.08/9.43 tff(f102644,plain,(
% 58.08/9.43 spl5880_4090 <=> ! [X0 : vEBT_VEBT,X1 : nat,X3 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1811(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4090])])).
% 58.08/9.43 tff(f101812,plain,(
% 58.08/9.43 spl5880_4036 <=> ! [X0 : vEBT_VEBT,X1 : nat,X3 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4036])])).
% 58.08/9.43 tff(f101815,plain,(
% 58.08/9.43 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1811(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) ) | (~spl5880_2573 | ~spl5880_4036)),
% 58.08/9.43 inference(forward_demodulation,[],[f101813,f93029])).
% 58.08/9.43 tff(f101813,plain,(
% 58.08/9.43 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl5880_4036),
% 58.08/9.43 inference(avatar_component_clause,[],[f101812])).
% 58.08/9.43 tff(f102642,plain,(
% 58.08/9.43 spl5880_4089 | ~spl5880_1536 | ~spl5880_4035),
% 58.08/9.43 inference(avatar_split_clause,[],[f101810,f101807,f86300,f102640])).
% 58.08/9.43 tff(f102640,plain,(
% 58.08/9.43 spl5880_4089 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4089])])).
% 58.08/9.43 tff(f101807,plain,(
% 58.08/9.43 spl5880_4035 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4035])])).
% 58.08/9.43 tff(f101810,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4035)),
% 58.08/9.43 inference(forward_demodulation,[],[f101808,f86302])).
% 58.08/9.43 tff(f101808,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4035),
% 58.08/9.43 inference(avatar_component_clause,[],[f101807])).
% 58.08/9.43 tff(f102638,plain,(
% 58.08/9.43 spl5880_4088 | ~spl5880_1536 | ~spl5880_4033),
% 58.08/9.43 inference(avatar_split_clause,[],[f101800,f101797,f86300,f102636])).
% 58.08/9.43 tff(f102636,plain,(
% 58.08/9.43 spl5880_4088 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4088])])).
% 58.08/9.43 tff(f101797,plain,(
% 58.08/9.43 spl5880_4033 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4033])])).
% 58.08/9.43 tff(f101800,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4033)),
% 58.08/9.43 inference(forward_demodulation,[],[f101798,f86302])).
% 58.08/9.43 tff(f101798,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4033),
% 58.08/9.43 inference(avatar_component_clause,[],[f101797])).
% 58.08/9.43 tff(f102634,plain,(
% 58.08/9.43 spl5880_4087 | ~spl5880_1536 | ~spl5880_4032),
% 58.08/9.43 inference(avatar_split_clause,[],[f101795,f101792,f86300,f102632])).
% 58.08/9.43 tff(f102632,plain,(
% 58.08/9.43 spl5880_4087 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4087])])).
% 58.08/9.43 tff(f101792,plain,(
% 58.08/9.43 spl5880_4032 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4032])])).
% 58.08/9.43 tff(f101795,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4032)),
% 58.08/9.43 inference(forward_demodulation,[],[f101793,f86302])).
% 58.08/9.43 tff(f101793,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4032),
% 58.08/9.43 inference(avatar_component_clause,[],[f101792])).
% 58.08/9.43 tff(f102630,plain,(
% 58.08/9.43 spl5880_4086 | ~spl5880_1536 | ~spl5880_4031),
% 58.08/9.43 inference(avatar_split_clause,[],[f101790,f101787,f86300,f102628])).
% 58.08/9.43 tff(f102628,plain,(
% 58.08/9.43 spl5880_4086 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4086])])).
% 58.08/9.43 tff(f101787,plain,(
% 58.08/9.43 spl5880_4031 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4031])])).
% 58.08/9.43 tff(f101790,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4031)),
% 58.08/9.43 inference(forward_demodulation,[],[f101788,f86302])).
% 58.08/9.43 tff(f101788,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4031),
% 58.08/9.43 inference(avatar_component_clause,[],[f101787])).
% 58.08/9.43 tff(f102626,plain,(
% 58.08/9.43 spl5880_4085 | ~spl5880_1536 | ~spl5880_4030),
% 58.08/9.43 inference(avatar_split_clause,[],[f101785,f101782,f86300,f102624])).
% 58.08/9.43 tff(f102624,plain,(
% 58.08/9.43 spl5880_4085 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4085])])).
% 58.08/9.43 tff(f101782,plain,(
% 58.08/9.43 spl5880_4030 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4030])])).
% 58.08/9.43 tff(f101785,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4030)),
% 58.08/9.43 inference(forward_demodulation,[],[f101783,f86302])).
% 58.08/9.43 tff(f101783,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4030),
% 58.08/9.43 inference(avatar_component_clause,[],[f101782])).
% 58.08/9.43 tff(f102622,plain,(
% 58.08/9.43 spl5880_4084 | ~spl5880_1536 | ~spl5880_4029),
% 58.08/9.43 inference(avatar_split_clause,[],[f101780,f101777,f86300,f102620])).
% 58.08/9.43 tff(f102620,plain,(
% 58.08/9.43 spl5880_4084 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4084])])).
% 58.08/9.43 tff(f101777,plain,(
% 58.08/9.43 spl5880_4029 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4029])])).
% 58.08/9.43 tff(f101780,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_4029)),
% 58.08/9.43 inference(forward_demodulation,[],[f101778,f86302])).
% 58.08/9.43 tff(f101778,plain,(
% 58.08/9.43 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) ) | ~spl5880_4029),
% 58.08/9.43 inference(avatar_component_clause,[],[f101777])).
% 58.08/9.43 tff(f102618,plain,(
% 58.08/9.43 ~spl5880_4083 | ~spl5880_1444 | spl5880_2328),
% 58.08/9.43 inference(avatar_split_clause,[],[f90368,f90287,f85787,f102615])).
% 58.08/9.43 tff(f90368,plain,(
% 58.08/9.43 iG290 != iG714($true) | (~spl5880_1444 | spl5880_2328)),
% 58.08/9.43 inference(superposition,[],[f90288,f85789])).
% 58.08/9.43 tff(f90288,plain,(
% 58.08/9.43 one_one(nat) != iG290 | spl5880_2328),
% 58.08/9.43 inference(avatar_component_clause,[],[f90287])).
% 58.08/9.43 tff(f102613,plain,(
% 58.08/9.43 spl5880_4082 | ~spl5880_1536 | ~spl5880_4028),
% 58.08/9.43 inference(avatar_split_clause,[],[f101775,f101772,f86300,f102611])).
% 58.08/9.43 tff(f102611,plain,(
% 58.08/9.43 spl5880_4082 <=> ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X1) | ~sP2377(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4082])])).
% 58.08/9.43 tff(f101772,plain,(
% 58.08/9.43 spl5880_4028 <=> ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2377(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4028])])).
% 58.08/9.43 tff(f101775,plain,(
% 58.08/9.43 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X1) | ~sP2377(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_4028)),
% 58.08/9.43 inference(forward_demodulation,[],[f101773,f86302])).
% 58.08/9.43 tff(f101773,plain,(
% 58.08/9.43 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2377(X0,X1,X2)) ) | ~spl5880_4028),
% 58.08/9.43 inference(avatar_component_clause,[],[f101772])).
% 58.08/9.43 tff(f102609,plain,(
% 58.08/9.43 spl5880_4081 | ~spl5880_1536 | ~spl5880_4027),
% 58.08/9.43 inference(avatar_split_clause,[],[f101770,f101767,f86300,f102607])).
% 58.08/9.43 tff(f102607,plain,(
% 58.08/9.43 spl5880_4081 <=> ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X1) | ~sP2378(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4081])])).
% 58.08/9.43 tff(f101767,plain,(
% 58.08/9.43 spl5880_4027 <=> ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2378(X0,X1,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4027])])).
% 58.08/9.43 tff(f101770,plain,(
% 58.08/9.43 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG714($true)),X1) | ~sP2378(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_4027)),
% 58.08/9.43 inference(forward_demodulation,[],[f101768,f86302])).
% 58.08/9.43 tff(f101768,plain,(
% 58.08/9.43 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2378(X0,X1,X2)) ) | ~spl5880_4027),
% 58.08/9.43 inference(avatar_component_clause,[],[f101767])).
% 58.08/9.43 tff(f102605,plain,(
% 58.08/9.43 spl5880_4080 | ~spl5880_1544 | ~spl5880_4026),
% 58.08/9.43 inference(avatar_split_clause,[],[f101765,f101762,f86336,f102603])).
% 58.08/9.43 tff(f102603,plain,(
% 58.08/9.43 spl5880_4080 <=> ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2) != iG717($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4080])])).
% 58.08/9.43 tff(f101762,plain,(
% 58.08/9.43 spl5880_4026 <=> ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2) != iG894($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4026])])).
% 58.08/9.43 tff(f101765,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2) != iG717($true)) ) | (~spl5880_1544 | ~spl5880_4026)),
% 58.08/9.43 inference(forward_demodulation,[],[f101763,f86338])).
% 58.08/9.43 tff(f101763,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2) != iG894($true)) ) | ~spl5880_4026),
% 58.08/9.43 inference(avatar_component_clause,[],[f101762])).
% 58.08/9.43 tff(f102601,plain,(
% 58.08/9.43 spl5880_4079 | ~spl5880_1544 | ~spl5880_4025),
% 58.08/9.43 inference(avatar_split_clause,[],[f101760,f101757,f86336,f102599])).
% 58.08/9.43 tff(f102599,plain,(
% 58.08/9.43 spl5880_4079 <=> ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2) != iG717($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4079])])).
% 58.08/9.43 tff(f101757,plain,(
% 58.08/9.43 spl5880_4025 <=> ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2) != iG894($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4025])])).
% 58.08/9.43 tff(f101760,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2) != iG717($true)) ) | (~spl5880_1544 | ~spl5880_4025)),
% 58.08/9.43 inference(forward_demodulation,[],[f101758,f86338])).
% 58.08/9.43 tff(f101758,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2) != iG894($true)) ) | ~spl5880_4025),
% 58.08/9.43 inference(avatar_component_clause,[],[f101757])).
% 58.08/9.43 tff(f102591,plain,(
% 58.08/9.43 spl5880_4078 | ~spl5880_1536 | ~spl5880_4016),
% 58.08/9.43 inference(avatar_split_clause,[],[f101712,f101709,f86300,f102589])).
% 58.08/9.43 tff(f102589,plain,(
% 58.08/9.43 spl5880_4078 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4078])])).
% 58.08/9.43 tff(f101709,plain,(
% 58.08/9.43 spl5880_4016 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4016])])).
% 58.08/9.43 tff(f101712,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0) ) | (~spl5880_1536 | ~spl5880_4016)),
% 58.08/9.43 inference(forward_demodulation,[],[f101710,f86302])).
% 58.08/9.43 tff(f101710,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0) ) | ~spl5880_4016),
% 58.08/9.43 inference(avatar_component_clause,[],[f101709])).
% 58.08/9.43 tff(f102587,plain,(
% 58.08/9.43 spl5880_4077 | ~spl5880_1544 | ~spl5880_4015),
% 58.08/9.43 inference(avatar_split_clause,[],[f101707,f101704,f86336,f102585])).
% 58.08/9.43 tff(f102585,plain,(
% 58.08/9.43 spl5880_4077 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1))) = iG717($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4077])])).
% 58.08/9.43 tff(f101704,plain,(
% 58.08/9.43 spl5880_4015 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1))) = iG894($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4015])])).
% 58.08/9.43 tff(f101707,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1))) = iG717($true)) ) | (~spl5880_1544 | ~spl5880_4015)),
% 58.08/9.43 inference(forward_demodulation,[],[f101705,f86338])).
% 58.08/9.43 tff(f101705,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1))) = iG894($true)) ) | ~spl5880_4015),
% 58.08/9.43 inference(avatar_component_clause,[],[f101704])).
% 58.08/9.43 tff(f102583,plain,(
% 58.08/9.43 spl5880_4076 | ~spl5880_1536 | ~spl5880_4013),
% 58.08/9.43 inference(avatar_split_clause,[],[f101697,f101694,f86300,f102581])).
% 58.08/9.43 tff(f102581,plain,(
% 58.08/9.43 spl5880_4076 <=> ! [X0 : $o,X1 : $o] : vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),iG714($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4076])])).
% 58.08/9.43 tff(f101694,plain,(
% 58.08/9.43 spl5880_4013 <=> ! [X0 : $o,X1 : $o] : vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),iG1228($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4013])])).
% 58.08/9.43 tff(f101697,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_4013)),
% 58.08/9.43 inference(forward_demodulation,[],[f101695,f86302])).
% 58.08/9.43 tff(f101695,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),iG1228($true))) ) | ~spl5880_4013),
% 58.08/9.43 inference(avatar_component_clause,[],[f101694])).
% 58.08/9.43 tff(f102579,plain,(
% 58.08/9.43 spl5880_4075 | ~spl5880_1544 | ~spl5880_4012),
% 58.08/9.43 inference(avatar_split_clause,[],[f101692,f101689,f86336,f102577])).
% 58.08/9.43 tff(f102577,plain,(
% 58.08/9.43 spl5880_4075 <=> ! [X0 : $o,X1 : $o] : vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),iG717($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4075])])).
% 58.08/9.43 tff(f101689,plain,(
% 58.08/9.43 spl5880_4012 <=> ! [X0 : $o,X1 : $o] : vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),iG894($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4012])])).
% 58.08/9.43 tff(f101692,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_4012)),
% 58.08/9.43 inference(forward_demodulation,[],[f101690,f86338])).
% 58.08/9.43 tff(f101690,plain,(
% 58.08/9.43 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),iG894($true))) ) | ~spl5880_4012),
% 58.08/9.43 inference(avatar_component_clause,[],[f101689])).
% 58.08/9.43 tff(f102556,plain,(
% 58.08/9.43 ~spl5880_4074 | ~spl5880_1444 | spl5880_2239),
% 58.08/9.43 inference(avatar_split_clause,[],[f90367,f89913,f85787,f102553])).
% 58.08/9.43 tff(f102553,plain,(
% 58.08/9.43 spl5880_4074 <=> iG268 = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4074])])).
% 58.08/9.43 tff(f90367,plain,(
% 58.08/9.43 iG268 != iG714($true) | (~spl5880_1444 | spl5880_2239)),
% 58.08/9.43 inference(superposition,[],[f89914,f85789])).
% 58.08/9.43 tff(f102542,plain,(
% 58.08/9.43 spl5880_4073 | ~spl5880_1536 | ~spl5880_4007),
% 58.08/9.43 inference(avatar_split_clause,[],[f101669,f101666,f86300,f102540])).
% 58.08/9.43 tff(f102540,plain,(
% 58.08/9.43 spl5880_4073 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4073])])).
% 58.08/9.43 tff(f101666,plain,(
% 58.08/9.43 spl5880_4007 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4007])])).
% 58.08/9.43 tff(f101669,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0) ) | (~spl5880_1536 | ~spl5880_4007)),
% 58.08/9.43 inference(forward_demodulation,[],[f101667,f86302])).
% 58.08/9.43 tff(f101667,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0) ) | ~spl5880_4007),
% 58.08/9.43 inference(avatar_component_clause,[],[f101666])).
% 58.08/9.43 tff(f102538,plain,(
% 58.08/9.43 spl5880_4072 | ~spl5880_1544 | ~spl5880_4006),
% 58.08/9.43 inference(avatar_split_clause,[],[f101664,f101661,f86336,f102536])).
% 58.08/9.43 tff(f102536,plain,(
% 58.08/9.43 spl5880_4072 <=> ! [X0 : nat] : (iG717($true) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4072])])).
% 58.08/9.43 tff(f101661,plain,(
% 58.08/9.43 spl5880_4006 <=> ! [X0 : nat] : (iG894($true) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4006])])).
% 58.08/9.43 tff(f101664,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (iG717($true) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true))) ) | (~spl5880_1544 | ~spl5880_4006)),
% 58.08/9.43 inference(forward_demodulation,[],[f101662,f86338])).
% 58.08/9.43 tff(f101662,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (iG894($true) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true))) ) | ~spl5880_4006),
% 58.08/9.43 inference(avatar_component_clause,[],[f101661])).
% 58.08/9.43 tff(f102534,plain,(
% 58.08/9.43 spl5880_4071 | ~spl5880_1544 | ~spl5880_4005),
% 58.08/9.43 inference(avatar_split_clause,[],[f101659,f101656,f86336,f102532])).
% 58.08/9.43 tff(f102532,plain,(
% 58.08/9.43 spl5880_4071 <=> ! [X0 : nat] : (iG717($true) = X0 | ($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4071])])).
% 58.08/9.43 tff(f101656,plain,(
% 58.08/9.43 spl5880_4005 <=> ! [X0 : nat] : (iG894($true) = X0 | ($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false)))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4005])])).
% 58.08/9.43 tff(f101659,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (iG717($true) = X0 | ($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false))) ) | (~spl5880_1544 | ~spl5880_4005)),
% 58.08/9.43 inference(forward_demodulation,[],[f101657,f86338])).
% 58.08/9.43 tff(f101657,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (iG894($true) = X0 | ($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false))) ) | ~spl5880_4005),
% 58.08/9.43 inference(avatar_component_clause,[],[f101656])).
% 58.08/9.43 tff(f102530,plain,(
% 58.08/9.43 spl5880_4070 | ~spl5880_1536 | ~spl5880_4004),
% 58.08/9.43 inference(avatar_split_clause,[],[f101654,f101651,f86300,f102528])).
% 58.08/9.43 tff(f102528,plain,(
% 58.08/9.43 spl5880_4070 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4070])])).
% 58.08/9.43 tff(f101651,plain,(
% 58.08/9.43 spl5880_4004 <=> ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4004])])).
% 58.08/9.43 tff(f101654,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG714($true)) | vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0) ) | (~spl5880_1536 | ~spl5880_4004)),
% 58.08/9.43 inference(forward_demodulation,[],[f101652,f86302])).
% 58.08/9.43 tff(f101652,plain,(
% 58.08/9.43 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0) ) | ~spl5880_4004),
% 58.08/9.43 inference(avatar_component_clause,[],[f101651])).
% 58.08/9.43 tff(f102526,plain,(
% 58.08/9.43 spl5880_4069 | ~spl5880_592 | ~spl5880_3004 | ~spl5880_4003),
% 58.08/9.43 inference(avatar_split_clause,[],[f101649,f101646,f95232,f81403,f102524])).
% 58.08/9.43 tff(f102524,plain,(
% 58.08/9.43 spl5880_4069 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),iG513(nat,X1)) | ~semiring_char_0(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4069])])).
% 58.08/9.43 tff(f101646,plain,(
% 58.08/9.43 spl5880_4003 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4003])])).
% 58.08/9.43 tff(f101649,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),iG513(nat,X1)) | ~semiring_char_0(X0)) ) | (~spl5880_592 | ~spl5880_3004 | ~spl5880_4003)),
% 58.08/9.43 inference(forward_demodulation,[],[f101647,f96192])).
% 58.08/9.43 tff(f101647,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0)) ) | ~spl5880_4003),
% 58.08/9.43 inference(avatar_component_clause,[],[f101646])).
% 58.08/9.43 tff(f102522,plain,(
% 58.08/9.43 spl5880_4068 | ~spl5880_1544 | ~spl5880_4001),
% 58.08/9.43 inference(avatar_split_clause,[],[f101639,f101636,f86336,f102520])).
% 58.08/9.43 tff(f102520,plain,(
% 58.08/9.43 spl5880_4068 <=> ! [X1 : $tType,X2 : num,X0 : X1] : (iG717($true) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4068])])).
% 58.08/9.43 tff(f101636,plain,(
% 58.08/9.43 spl5880_4001 <=> ! [X1 : $tType,X2 : num,X0 : X1] : (iG894($true) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4001])])).
% 58.08/9.43 tff(f101639,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : num,X0 : X1] : (iG717($true) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2)) ) | (~spl5880_1544 | ~spl5880_4001)),
% 58.08/9.43 inference(forward_demodulation,[],[f101637,f86338])).
% 58.08/9.43 tff(f101637,plain,(
% 58.08/9.43 ( ! [X1 : $tType,X2 : num,X0 : X1] : (iG894($true) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2)) ) | ~spl5880_4001),
% 58.08/9.43 inference(avatar_component_clause,[],[f101636])).
% 58.08/9.43 tff(f102514,plain,(
% 58.08/9.43 spl5880_4067 | ~spl5880_1544 | ~spl5880_3999),
% 58.08/9.43 inference(avatar_split_clause,[],[f101630,f101627,f86336,f102512])).
% 58.08/9.43 tff(f102512,plain,(
% 58.08/9.43 spl5880_4067 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG717($true)),X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4067])])).
% 58.08/9.43 tff(f101627,plain,(
% 58.08/9.43 spl5880_3999 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3999])])).
% 58.08/9.43 tff(f101630,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG717($true)),X1) | ~bit_se359711467146920520ations(X0)) ) | (~spl5880_1544 | ~spl5880_3999)),
% 58.08/9.43 inference(forward_demodulation,[],[f101628,f86338])).
% 58.08/9.43 tff(f101628,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl5880_3999),
% 58.08/9.43 inference(avatar_component_clause,[],[f101627])).
% 58.08/9.43 tff(f102510,plain,(
% 58.08/9.43 spl5880_4066 | ~spl5880_1544 | ~spl5880_3998),
% 58.08/9.43 inference(avatar_split_clause,[],[f101625,f101622,f86336,f102508])).
% 58.08/9.43 tff(f102508,plain,(
% 58.08/9.43 spl5880_4066 <=> ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG717($true))) | ~bit_semiring_bits(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4066])])).
% 58.08/9.43 tff(f101622,plain,(
% 58.08/9.43 spl5880_3998 <=> ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG894($true))) | ~bit_semiring_bits(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3998])])).
% 58.08/9.43 tff(f101625,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG717($true))) | ~bit_semiring_bits(X0)) ) | (~spl5880_1544 | ~spl5880_3998)),
% 58.08/9.43 inference(forward_demodulation,[],[f101623,f86338])).
% 58.08/9.43 tff(f101623,plain,(
% 58.08/9.43 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG894($true))) | ~bit_semiring_bits(X0)) ) | ~spl5880_3998),
% 58.08/9.43 inference(avatar_component_clause,[],[f101622])).
% 58.08/9.43 tff(f102506,plain,(
% 58.08/9.43 ~spl5880_4065 | ~spl5880_1444 | spl5880_2236),
% 58.08/9.43 inference(avatar_split_clause,[],[f90366,f89888,f85787,f102503])).
% 58.08/9.43 tff(f102503,plain,(
% 58.08/9.43 spl5880_4065 <=> iG286 = iG714($true)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4065])])).
% 58.08/9.43 tff(f90366,plain,(
% 58.08/9.43 iG286 != iG714($true) | (~spl5880_1444 | spl5880_2236)),
% 58.08/9.43 inference(superposition,[],[f89889,f85789])).
% 58.08/9.43 tff(f102501,plain,(
% 58.08/9.43 spl5880_4064 | ~spl5880_1536 | ~spl5880_3997),
% 58.08/9.43 inference(avatar_split_clause,[],[f101620,f101617,f86300,f102499])).
% 58.08/9.43 tff(f102499,plain,(
% 58.08/9.43 spl5880_4064 <=> ! [X0 : nat] : aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,iG714($true),X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4064])])).
% 58.08/9.43 tff(f101617,plain,(
% 58.08/9.43 spl5880_3997 <=> ! [X0 : nat] : aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,iG1228($true),X0)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3997])])).
% 58.08/9.43 tff(f101620,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,iG714($true),X0)) ) | (~spl5880_1536 | ~spl5880_3997)),
% 58.08/9.43 inference(forward_demodulation,[],[f101618,f86302])).
% 58.08/9.43 tff(f101618,plain,(
% 58.08/9.43 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,iG1228($true),X0)) ) | ~spl5880_3997),
% 58.08/9.43 inference(avatar_component_clause,[],[f101617])).
% 58.08/9.43 tff(f102497,plain,(
% 58.08/9.43 spl5880_4063 | ~spl5880_1426 | ~spl5880_3995),
% 58.08/9.43 inference(avatar_split_clause,[],[f101611,f101608,f85691,f102495])).
% 58.08/9.43 tff(f102495,plain,(
% 58.08/9.43 spl5880_4063 <=> ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = iG296(aa(num,code_integer,code_positive,X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4063])])).
% 58.08/9.43 tff(f101608,plain,(
% 58.08/9.43 spl5880_3995 <=> ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = lG696(aa(num,code_integer,code_positive,X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3995])])).
% 58.08/9.43 tff(f101611,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = iG296(aa(num,code_integer,code_positive,X0))) ) | (~spl5880_1426 | ~spl5880_3995)),
% 58.08/9.43 inference(forward_demodulation,[],[f101609,f85692])).
% 58.08/9.43 tff(f101609,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = lG696(aa(num,code_integer,code_positive,X0))) ) | ~spl5880_3995),
% 58.08/9.43 inference(avatar_component_clause,[],[f101608])).
% 58.08/9.43 tff(f102493,plain,(
% 58.08/9.43 spl5880_4062 | ~spl5880_1426 | ~spl5880_3994),
% 58.08/9.43 inference(avatar_split_clause,[],[f101606,f101602,f85691,f102491])).
% 58.08/9.43 tff(f102491,plain,(
% 58.08/9.43 spl5880_4062 <=> ! [X0 : num] : aa(nat,nat,suc,lG1553(X0)) = iG296(aa(num,code_integer,code_positive,X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4062])])).
% 58.08/9.43 tff(f101602,plain,(
% 58.08/9.43 spl5880_3994 <=> ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,lG1553(X0))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3994])])).
% 58.08/9.43 tff(f101606,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(nat,nat,suc,lG1553(X0)) = iG296(aa(num,code_integer,code_positive,X0))) ) | (~spl5880_1426 | ~spl5880_3994)),
% 58.08/9.43 inference(forward_demodulation,[],[f101605,f85692])).
% 58.08/9.43 tff(f101605,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(nat,nat,suc,lG1553(X0)) = lG696(aa(num,code_integer,code_positive,X0))) ) | ~spl5880_3994),
% 58.08/9.43 inference(forward_demodulation,[],[f101603,f69903])).
% 58.08/9.43 tff(f101603,plain,(
% 58.08/9.43 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,lG1553(X0))) ) | ~spl5880_3994),
% 58.08/9.43 inference(avatar_component_clause,[],[f101602])).
% 58.08/9.43 tff(f102486,plain,(
% 58.08/9.43 spl5880_4061 | ~spl5880_1536 | ~spl5880_3989),
% 58.08/9.43 inference(avatar_split_clause,[],[f101581,f101577,f86300,f102483])).
% 58.08/9.43 tff(f102483,plain,(
% 58.08/9.43 spl5880_4061 <=> suc = aa(nat,fun(nat,nat),plus_plus(nat),iG714($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4061])])).
% 58.08/9.43 tff(f101577,plain,(
% 58.08/9.43 spl5880_3989 <=> suc = aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3989])])).
% 58.08/9.43 tff(f101581,plain,(
% 58.08/9.43 suc = aa(nat,fun(nat,nat),plus_plus(nat),iG714($true)) | (~spl5880_1536 | ~spl5880_3989)),
% 58.08/9.43 inference(forward_demodulation,[],[f101579,f86302])).
% 58.08/9.43 tff(f101579,plain,(
% 58.08/9.43 suc = aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)) | ~spl5880_3989),
% 58.08/9.43 inference(avatar_component_clause,[],[f101577])).
% 58.08/9.43 tff(f102481,plain,(
% 58.08/9.43 spl5880_4060 | ~spl5880_1544 | ~spl5880_3988),
% 58.08/9.43 inference(avatar_split_clause,[],[f101575,f101572,f86336,f102479])).
% 58.08/9.43 tff(f102479,plain,(
% 58.08/9.43 spl5880_4060 <=> ! [X0 : $tType,X3 : fun(nat,X0),X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG717($true),X1) | zero_zero(X0) = iG425(X0,X1,X2,X3))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4060])])).
% 58.08/9.43 tff(f101572,plain,(
% 58.08/9.43 spl5880_3988 <=> ! [X0 : $tType,X3 : fun(nat,X0),X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG425(X0,X1,X2,X3))),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3988])])).
% 58.08/9.43 tff(f101575,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG717($true),X1) | zero_zero(X0) = iG425(X0,X1,X2,X3)) ) | (~spl5880_1544 | ~spl5880_3988)),
% 58.08/9.43 inference(forward_demodulation,[],[f101573,f86338])).
% 58.08/9.43 tff(f101573,plain,(
% 58.08/9.43 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG425(X0,X1,X2,X3)) ) | ~spl5880_3988),
% 58.08/9.43 inference(avatar_component_clause,[],[f101572])).
% 58.08/9.43 tff(f102477,plain,(
% 58.08/9.43 spl5880_4059 | ~spl5880_1544 | ~spl5880_3987),
% 58.08/9.43 inference(avatar_split_clause,[],[f101570,f101567,f86336,f102475])).
% 58.08/9.43 tff(f102475,plain,(
% 58.08/9.43 spl5880_4059 <=> ! [X4 : $tType,X6 : nat,X7 : X4] : aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,iG717($true),X6,X7)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_4059])])).
% 58.08/9.43 tff(f101567,plain,(
% 58.08/9.43 spl5880_3987 <=> ! [X4 : $tType,X6 : nat,X7 : X4] : aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,iG894($true),X6,X7)),
% 58.08/9.43 introduced(avatar_definition,[new_symbols(naming,[spl5880_3987])])).
% 58.08/9.43 tff(f101570,plain,(
% 58.08/9.43 ( ! [X4 : $tType,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,iG717($true),X6,X7)) ) | (~spl5880_1544 | ~spl5880_3987)),
% 58.08/9.43 inference(forward_demodulation,[],[f101568,f86338])).
% 58.08/9.43 tff(f101568,plain,(
% 58.08/9.43 ( ! [X4 : $tType,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,iG894($true),X6,X7)) ) | ~spl5880_3987),
% 58.08/9.43 inference(avatar_component_clause,[],[f101567])).
% 58.08/9.43 tff(f102473,plain,(
% 58.08/9.43 ~spl5880_4058 | ~spl5880_1444 | spl5880_2332),
% 58.08/9.43 inference(avatar_split_clause,[],[f90331,f90316,f85787,f102470])).
% 58.08/9.43 tff(f90331,plain,(
% 58.08/9.43 iG272 != iG714($true) | (~spl5880_1444 | spl5880_2332)),
% 58.08/9.43 inference(superposition,[],[f90317,f85789])).
% 58.08/9.43 tff(f90317,plain,(
% 58.08/9.43 one_one(nat) != iG272 | spl5880_2332),
% 58.08/9.43 inference(avatar_component_clause,[],[f90316])).
% 58.08/9.43 tff(f102388,plain,(
% 58.08/9.43 spl5880_4057 | ~spl5880_1443 | ~spl5880_3971),
% 58.08/9.43 inference(avatar_split_clause,[],[f101504,f101501,f85782,f102386])).
% 58.08/9.43 tff(f102386,plain,(
% 58.08/9.43 spl5880_4057 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),iG717($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4057])])).
% 58.08/9.44 tff(f101501,plain,(
% 58.08/9.44 spl5880_3971 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),zero_zero(nat))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3971])])).
% 58.08/9.44 tff(f101504,plain,(
% 58.08/9.44 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),iG717($true))) ) | (~spl5880_1443 | ~spl5880_3971)),
% 58.08/9.44 inference(forward_demodulation,[],[f101502,f85784])).
% 58.08/9.44 tff(f101502,plain,(
% 58.08/9.44 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),zero_zero(nat))) ) | ~spl5880_3971),
% 58.08/9.44 inference(avatar_component_clause,[],[f101501])).
% 58.08/9.44 tff(f102374,plain,(
% 58.08/9.44 ~spl5880_76 | spl5880_4056 | ~spl5880_204 | ~spl5880_1564),
% 58.08/9.44 inference(avatar_split_clause,[],[f87458,f86445,f79463,f102371,f78823])).
% 58.08/9.44 tff(f78823,plain,(
% 58.08/9.44 spl5880_76 <=> linordered_field(real)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_76])])).
% 58.08/9.44 tff(f102371,plain,(
% 58.08/9.44 spl5880_4056 <=> sP1995(real)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4056])])).
% 58.08/9.44 tff(f79463,plain,(
% 58.08/9.44 spl5880_204 <=> topolo1944317154257567458pology(real)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_204])])).
% 58.08/9.44 tff(f86445,plain,(
% 58.08/9.44 spl5880_1564 <=> ! [X0 : $tType] : (sP1995(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1564])])).
% 58.08/9.44 tff(f87458,plain,(
% 58.08/9.44 sP1995(real) | ~linordered_field(real) | (~spl5880_204 | ~spl5880_1564)),
% 58.08/9.44 inference(resolution,[],[f86446,f79465])).
% 58.08/9.44 tff(f79465,plain,(
% 58.08/9.44 topolo1944317154257567458pology(real) | ~spl5880_204),
% 58.08/9.44 inference(avatar_component_clause,[],[f79463])).
% 58.08/9.44 tff(f86446,plain,(
% 58.08/9.44 ( ! [X0 : $tType] : (~topolo1944317154257567458pology(X0) | sP1995(X0) | ~linordered_field(X0)) ) | ~spl5880_1564),
% 58.08/9.44 inference(avatar_component_clause,[],[f86445])).
% 58.08/9.44 tff(f102276,plain,(
% 58.08/9.44 ~spl5880_4054 | spl5880_4055 | ~spl5880_202 | ~spl5880_1563),
% 58.08/9.44 inference(avatar_split_clause,[],[f87456,f86441,f79453,f102273,f102269])).
% 58.08/9.44 tff(f102269,plain,(
% 58.08/9.44 spl5880_4054 <=> linordered_field(int)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4054])])).
% 58.08/9.44 tff(f102273,plain,(
% 58.08/9.44 spl5880_4055 <=> sP1993(int)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4055])])).
% 58.08/9.44 tff(f79453,plain,(
% 58.08/9.44 spl5880_202 <=> topolo1944317154257567458pology(int)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_202])])).
% 58.08/9.44 tff(f86441,plain,(
% 58.08/9.44 spl5880_1563 <=> ! [X0 : $tType] : (sP1993(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1563])])).
% 58.08/9.44 tff(f87456,plain,(
% 58.08/9.44 sP1993(int) | ~linordered_field(int) | (~spl5880_202 | ~spl5880_1563)),
% 58.08/9.44 inference(resolution,[],[f86442,f79455])).
% 58.08/9.44 tff(f79455,plain,(
% 58.08/9.44 topolo1944317154257567458pology(int) | ~spl5880_202),
% 58.08/9.44 inference(avatar_component_clause,[],[f79453])).
% 58.08/9.44 tff(f86442,plain,(
% 58.08/9.44 ( ! [X0 : $tType] : (~topolo1944317154257567458pology(X0) | sP1993(X0) | ~linordered_field(X0)) ) | ~spl5880_1563),
% 58.08/9.44 inference(avatar_component_clause,[],[f86441])).
% 58.08/9.44 tff(f102267,plain,(
% 58.08/9.44 ~spl5880_4052 | spl5880_4053 | ~spl5880_205 | ~spl5880_1563),
% 58.08/9.44 inference(avatar_split_clause,[],[f87455,f86441,f79468,f102264,f102260])).
% 58.08/9.44 tff(f102260,plain,(
% 58.08/9.44 spl5880_4052 <=> linordered_field(nat)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4052])])).
% 58.08/9.44 tff(f102264,plain,(
% 58.08/9.44 spl5880_4053 <=> sP1993(nat)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4053])])).
% 58.08/9.44 tff(f79468,plain,(
% 58.08/9.44 spl5880_205 <=> topolo1944317154257567458pology(nat)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_205])])).
% 58.08/9.44 tff(f87455,plain,(
% 58.08/9.44 sP1993(nat) | ~linordered_field(nat) | (~spl5880_205 | ~spl5880_1563)),
% 58.08/9.44 inference(resolution,[],[f86442,f79470])).
% 58.08/9.44 tff(f79470,plain,(
% 58.08/9.44 topolo1944317154257567458pology(nat) | ~spl5880_205),
% 58.08/9.44 inference(avatar_component_clause,[],[f79468])).
% 58.08/9.44 tff(f102216,plain,(
% 58.08/9.44 ~spl5880_76 | spl5880_4051 | ~spl5880_204 | ~spl5880_1563),
% 58.08/9.44 inference(avatar_split_clause,[],[f87454,f86441,f79463,f102213,f78823])).
% 58.08/9.44 tff(f102213,plain,(
% 58.08/9.44 spl5880_4051 <=> sP1993(real)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4051])])).
% 58.08/9.44 tff(f87454,plain,(
% 58.08/9.44 sP1993(real) | ~linordered_field(real) | (~spl5880_204 | ~spl5880_1563)),
% 58.08/9.44 inference(resolution,[],[f86442,f79465])).
% 58.08/9.44 tff(f102089,plain,(
% 58.08/9.44 ~spl5880_4049 | spl5880_4050 | ~spl5880_203 | ~spl5880_1563),
% 58.08/9.44 inference(avatar_split_clause,[],[f87453,f86441,f79458,f102086,f102082])).
% 58.08/9.44 tff(f102082,plain,(
% 58.08/9.44 spl5880_4049 <=> linordered_field($o)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4049])])).
% 58.08/9.44 tff(f102086,plain,(
% 58.08/9.44 spl5880_4050 <=> sP1993($o)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4050])])).
% 58.08/9.44 tff(f79458,plain,(
% 58.08/9.44 spl5880_203 <=> topolo1944317154257567458pology($o)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_203])])).
% 58.08/9.44 tff(f87453,plain,(
% 58.08/9.44 sP1993($o) | ~linordered_field($o) | (~spl5880_203 | ~spl5880_1563)),
% 58.08/9.44 inference(resolution,[],[f86442,f79460])).
% 58.08/9.44 tff(f79460,plain,(
% 58.08/9.44 topolo1944317154257567458pology($o) | ~spl5880_203),
% 58.08/9.44 inference(avatar_component_clause,[],[f79458])).
% 58.08/9.44 tff(f102005,plain,(
% 58.08/9.44 spl5880_4048 | spl5880_1305 | ~spl5880_1550),
% 58.08/9.44 inference(avatar_split_clause,[],[f87441,f86378,f84873,f102002])).
% 58.08/9.44 tff(f102002,plain,(
% 58.08/9.44 spl5880_4048 <=> ($false = bG495($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4048])])).
% 58.08/9.44 tff(f84873,plain,(
% 58.08/9.44 spl5880_1305 <=> ($true = bG495($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1305])])).
% 58.08/9.44 tff(f87441,plain,(
% 58.08/9.44 ($false = bG495($true)) | (spl5880_1305 | ~spl5880_1550)),
% 58.08/9.44 inference(trivial_inequality_removal,[],[f87435])).
% 58.08/9.44 tff(f87435,plain,(
% 58.08/9.44 ($true != $true) | ($false = bG495($true)) | (spl5880_1305 | ~spl5880_1550)),
% 58.08/9.44 inference(superposition,[],[f84875,f86379])).
% 58.08/9.44 tff(f84875,plain,(
% 58.08/9.44 ($true != bG495($true)) | spl5880_1305),
% 58.08/9.44 inference(avatar_component_clause,[],[f84873])).
% 58.08/9.44 tff(f101966,plain,(
% 58.08/9.44 spl5880_4047 | ~spl5880_1346 | ~spl5880_1544),
% 58.08/9.44 inference(avatar_split_clause,[],[f86376,f86336,f85068,f101964])).
% 58.08/9.44 tff(f85068,plain,(
% 58.08/9.44 spl5880_1346 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,iG894($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1346])])).
% 58.08/9.44 tff(f86376,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG717($true))) ) | (~spl5880_1346 | ~spl5880_1544)),
% 58.08/9.44 inference(superposition,[],[f85069,f86338])).
% 58.08/9.44 tff(f85069,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG894($true))) ) | ~spl5880_1346),
% 58.08/9.44 inference(avatar_component_clause,[],[f85068])).
% 58.08/9.44 tff(f101962,plain,(
% 58.08/9.44 spl5880_4046 | ~spl5880_3103 | ~spl5880_3825),
% 58.08/9.44 inference(avatar_split_clause,[],[f100903,f100900,f95674,f101960])).
% 58.08/9.44 tff(f101960,plain,(
% 58.08/9.44 spl5880_4046 <=> ! [X0 : code_integer,X1 : code_integer] : (iG625(X0,X1) = iG629(X1,X0) | zero_zero(code_integer) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4046])])).
% 58.08/9.44 tff(f95674,plain,(
% 58.08/9.44 spl5880_3103 <=> ! [X0 : code_integer,X1 : code_integer] : iG625(X0,X1) = iG630(X0,X1)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3103])])).
% 58.08/9.44 tff(f100900,plain,(
% 58.08/9.44 spl5880_3825 <=> ! [X0 : code_integer,X1 : code_integer] : (iG629(X1,X0) = iG630(X0,X1) | zero_zero(code_integer) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3825])])).
% 58.08/9.44 tff(f100903,plain,(
% 58.08/9.44 ( ! [X0 : code_integer,X1 : code_integer] : (iG625(X0,X1) = iG629(X1,X0) | zero_zero(code_integer) = X0) ) | (~spl5880_3103 | ~spl5880_3825)),
% 58.08/9.44 inference(forward_demodulation,[],[f100901,f95675])).
% 58.08/9.44 tff(f95675,plain,(
% 58.08/9.44 ( ! [X0 : code_integer,X1 : code_integer] : (iG625(X0,X1) = iG630(X0,X1)) ) | ~spl5880_3103),
% 58.08/9.44 inference(avatar_component_clause,[],[f95674])).
% 58.08/9.44 tff(f100901,plain,(
% 58.08/9.44 ( ! [X0 : code_integer,X1 : code_integer] : (iG629(X1,X0) = iG630(X0,X1) | zero_zero(code_integer) = X0) ) | ~spl5880_3825),
% 58.08/9.44 inference(avatar_component_clause,[],[f100900])).
% 58.08/9.44 tff(f101936,plain,(
% 58.08/9.44 spl5880_4045 | ~spl5880_1360 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86370,f86300,f85365,f101933])).
% 58.08/9.44 tff(f85365,plain,(
% 58.08/9.44 spl5880_1360 <=> iG1477(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1360])])).
% 58.08/9.44 tff(f86370,plain,(
% 58.08/9.44 iG1477(iG714($true),$true) | (~spl5880_1360 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85367,f86302])).
% 58.08/9.44 tff(f85367,plain,(
% 58.08/9.44 iG1477(iG1228($true),$true) | ~spl5880_1360),
% 58.08/9.44 inference(avatar_component_clause,[],[f85365])).
% 58.08/9.44 tff(f101927,plain,(
% 58.08/9.44 spl5880_4044 | ~spl5880_1443 | ~spl5880_3817),
% 58.08/9.44 inference(avatar_split_clause,[],[f100870,f100867,f85782,f101925])).
% 58.08/9.44 tff(f101925,plain,(
% 58.08/9.44 spl5880_4044 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1245(X0,X1,X2) = iG1246(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4044])])).
% 58.08/9.44 tff(f100867,plain,(
% 58.08/9.44 spl5880_3817 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = iG1246(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3817])])).
% 58.08/9.44 tff(f100870,plain,(
% 58.08/9.44 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1245(X0,X1,X2) = iG1246(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3817)),
% 58.08/9.44 inference(forward_demodulation,[],[f100868,f85784])).
% 58.08/9.44 tff(f100868,plain,(
% 58.08/9.44 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = iG1246(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3817),
% 58.08/9.44 inference(avatar_component_clause,[],[f100867])).
% 58.08/9.44 tff(f101923,plain,(
% 58.08/9.44 spl5880_4043 | ~spl5880_1443 | ~spl5880_3816),
% 58.08/9.44 inference(avatar_split_clause,[],[f100865,f100862,f85782,f101921])).
% 58.08/9.44 tff(f101921,plain,(
% 58.08/9.44 spl5880_4043 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1259(X0,X1,X2) = iG1260(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4043])])).
% 58.08/9.44 tff(f100862,plain,(
% 58.08/9.44 spl5880_3816 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = iG1260(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3816])])).
% 58.08/9.44 tff(f100865,plain,(
% 58.08/9.44 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1259(X0,X1,X2) = iG1260(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3816)),
% 58.08/9.44 inference(forward_demodulation,[],[f100863,f85784])).
% 58.08/9.44 tff(f100863,plain,(
% 58.08/9.44 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = iG1260(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3816),
% 58.08/9.44 inference(avatar_component_clause,[],[f100862])).
% 58.08/9.44 tff(f101902,plain,(
% 58.08/9.44 spl5880_4042 | ~spl5880_1443 | ~spl5880_3811),
% 58.08/9.44 inference(avatar_split_clause,[],[f100844,f100840,f85782,f101900])).
% 58.08/9.44 tff(f101900,plain,(
% 58.08/9.44 spl5880_4042 <=> ! [X0 : nat,X1 : nat] : (modulo_modulo(nat,X1,X0) = iG717($true) | iG1532(X0,X1) = iG717($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4042])])).
% 58.08/9.44 tff(f100840,plain,(
% 58.08/9.44 spl5880_3811 <=> ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG1532(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3811])])).
% 58.08/9.44 tff(f100844,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : nat] : (modulo_modulo(nat,X1,X0) = iG717($true) | iG1532(X0,X1) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3811)),
% 58.08/9.44 inference(forward_demodulation,[],[f100843,f85784])).
% 58.08/9.44 tff(f100843,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : nat] : (iG1532(X0,X1) = iG717($true) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) ) | (~spl5880_1443 | ~spl5880_3811)),
% 58.08/9.44 inference(forward_demodulation,[],[f100841,f85784])).
% 58.08/9.44 tff(f100841,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG1532(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) ) | ~spl5880_3811),
% 58.08/9.44 inference(avatar_component_clause,[],[f100840])).
% 58.08/9.44 tff(f101898,plain,(
% 58.08/9.44 spl5880_4041 | ~spl5880_1443 | ~spl5880_1444 | ~spl5880_3810),
% 58.08/9.44 inference(avatar_split_clause,[],[f100838,f100834,f85787,f85782,f101896])).
% 58.08/9.44 tff(f101896,plain,(
% 58.08/9.44 spl5880_4041 <=> ! [X2 : nat,X3 : nat] : (modulo_modulo(nat,X3,X2) != iG717($true) | iG1532(X2,X3) = iG714($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4041])])).
% 58.08/9.44 tff(f100834,plain,(
% 58.08/9.44 spl5880_3810 <=> ! [X2 : nat,X3 : nat] : (one_one(nat) = iG1532(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3810])])).
% 58.08/9.44 tff(f100838,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat] : (modulo_modulo(nat,X3,X2) != iG717($true) | iG1532(X2,X3) = iG714($true)) ) | (~spl5880_1443 | ~spl5880_1444 | ~spl5880_3810)),
% 58.08/9.44 inference(forward_demodulation,[],[f100837,f85784])).
% 58.08/9.44 tff(f100837,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat] : (iG1532(X2,X3) = iG714($true) | zero_zero(nat) != modulo_modulo(nat,X3,X2)) ) | (~spl5880_1444 | ~spl5880_3810)),
% 58.08/9.44 inference(forward_demodulation,[],[f100835,f85789])).
% 58.08/9.44 tff(f100835,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat] : (one_one(nat) = iG1532(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2)) ) | ~spl5880_3810),
% 58.08/9.44 inference(avatar_component_clause,[],[f100834])).
% 58.08/9.44 tff(f101894,plain,(
% 58.08/9.44 spl5880_4040 | ~spl5880_1358 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86369,f86300,f85355,f101891])).
% 58.08/9.44 tff(f85355,plain,(
% 58.08/9.44 spl5880_1358 <=> iG1509(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1358])])).
% 58.08/9.44 tff(f86369,plain,(
% 58.08/9.44 iG1509(iG714($true),$true) | (~spl5880_1358 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85357,f86302])).
% 58.08/9.44 tff(f85357,plain,(
% 58.08/9.44 iG1509(iG1228($true),$true) | ~spl5880_1358),
% 58.08/9.44 inference(avatar_component_clause,[],[f85355])).
% 58.08/9.44 tff(f101889,plain,(
% 58.08/9.44 spl5880_4039 | ~spl5880_1443 | ~spl5880_3809),
% 58.08/9.44 inference(avatar_split_clause,[],[f100832,f100829,f85782,f101887])).
% 58.08/9.44 tff(f101887,plain,(
% 58.08/9.44 spl5880_4039 <=> ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (member(nat,iG717($true),X1) | nil(X0) = iG1550(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4039])])).
% 58.08/9.44 tff(f100829,plain,(
% 58.08/9.44 spl5880_3809 <=> ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (nil(X0) = iG1550(X0,X1,X2) | member(nat,zero_zero(nat),X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3809])])).
% 58.08/9.44 tff(f100832,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (member(nat,iG717($true),X1) | nil(X0) = iG1550(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3809)),
% 58.08/9.44 inference(forward_demodulation,[],[f100830,f85784])).
% 58.08/9.44 tff(f100830,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (nil(X0) = iG1550(X0,X1,X2) | member(nat,zero_zero(nat),X1)) ) | ~spl5880_3809),
% 58.08/9.44 inference(avatar_component_clause,[],[f100829])).
% 58.08/9.44 tff(f101824,plain,(
% 58.08/9.44 spl5880_4038 | ~spl5880_1605 | ~spl5880_3803),
% 58.08/9.44 inference(avatar_split_clause,[],[f100807,f100804,f86614,f101822])).
% 58.08/9.44 tff(f101822,plain,(
% 58.08/9.44 spl5880_4038 <=> ! [X5 : list(vEBT_VEBT),X4 : vEBT_VEBT,X7 : nat,X6 : nat] : (none(nat) != lG1839(X4) | iG1843(X4,X5,X6,X7) = X7)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4038])])).
% 58.08/9.44 tff(f100804,plain,(
% 58.08/9.44 spl5880_3803 <=> ! [X5 : list(vEBT_VEBT),X4 : vEBT_VEBT,X7 : nat,X6 : nat] : (iG1843(X4,X5,X6,X7) = X7 | none(nat) != lG1842(X4))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3803])])).
% 58.08/9.44 tff(f100807,plain,(
% 58.08/9.44 ( ! [X6 : nat,X7 : nat,X4 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : (none(nat) != lG1839(X4) | iG1843(X4,X5,X6,X7) = X7) ) | (~spl5880_1605 | ~spl5880_3803)),
% 58.08/9.44 inference(forward_demodulation,[],[f100805,f86615])).
% 58.08/9.44 tff(f100805,plain,(
% 58.08/9.44 ( ! [X6 : nat,X7 : nat,X4 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : (iG1843(X4,X5,X6,X7) = X7 | none(nat) != lG1842(X4)) ) | ~spl5880_3803),
% 58.08/9.44 inference(avatar_component_clause,[],[f100804])).
% 58.08/9.44 tff(f101819,plain,(
% 58.08/9.44 spl5880_4037),
% 58.08/9.44 inference(avatar_split_clause,[],[f77019,f101817])).
% 58.08/9.44 tff(f77019,plain,(
% 58.08/9.44 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f68806,f65062])).
% 58.08/9.44 tff(f65062,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1826(X0,X1)) )),
% 58.08/9.44 inference(definition_unfolding,[],[f46134,f46124])).
% 58.08/9.44 tff(f46124,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_delete(X0,X1) = lG1832(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f20499])).
% 58.08/9.44 tff(f20499,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_delete(X0,X1) = lG1832(X0,X1)),
% 58.08/9.44 inference(rectify,[],[f20408])).
% 58.08/9.44 tff(f20408,plain,(
% 58.08/9.44 ! [X6 : vEBT_VEBT,X5 : nat] : vEBT_vebt_delete(X6,X5) = lG1832(X6,X5)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1832])])).
% 58.08/9.44 tff(f46134,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_delete(X0,X1) = lG1826(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f20509])).
% 58.08/9.44 tff(f20509,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_delete(X0,X1) = lG1826(X0,X1)),
% 58.08/9.44 inference(rectify,[],[f20398])).
% 58.08/9.44 tff(f20398,plain,(
% 58.08/9.44 ! [X9 : vEBT_VEBT,X4 : nat] : vEBT_vebt_delete(X9,X4) = lG1826(X9,X4)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1826])])).
% 58.08/9.44 tff(f68806,plain,(
% 58.08/9.44 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1832(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(equality_resolution,[],[f66481])).
% 58.08/9.44 tff(f66481,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (X2 != X3 | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(lG1832(X0,X2)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(definition_unfolding,[],[f62850,f46124])).
% 58.08/9.44 tff(f62850,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (X2 != X3 | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44799])).
% 58.08/9.44 tff(f44799,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) | X2 = X3) & ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) & X2 != X3) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(flattening,[],[f44798])).
% 58.08/9.44 tff(f44798,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) | X2 = X3)) & ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) & X2 != X3) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(nnf_transformation,[],[f35988])).
% 58.08/9.44 tff(f35988,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)) <=> (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) & X2 != X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(ennf_transformation,[],[f19038])).
% 58.08/9.44 tff(f19038,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (vEBT_invar_vebt(X0,X1) => (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3)) <=> (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3)) & X2 != X3)))),
% 58.08/9.44 inference(fool_elimination,[],[f19037])).
% 58.08/9.44 tff(f19037,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (vEBT_invar_vebt(X0,X1) => (aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X2)),X3) <=> (aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X3) & X2 != X3)))),
% 58.08/9.44 inference(rectify,[],[f74])).
% 58.08/9.44 tff(f74,axiom,(
% 58.08/9.44 ! [X7 : vEBT_VEBT,X8 : nat,X9 : nat,X18 : nat] : (vEBT_invar_vebt(X7,X8) => (aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X7,X9)),X18) <=> (aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X18) & X9 != X18)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_dele__bmo__cont__corr)).
% 58.08/9.44 tff(f101814,plain,(
% 58.08/9.44 spl5880_4036),
% 58.08/9.44 inference(avatar_split_clause,[],[f77016,f101812])).
% 58.08/9.44 tff(f77016,plain,(
% 58.08/9.44 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1826(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f68805,f65062])).
% 58.08/9.44 tff(f68805,plain,(
% 58.08/9.44 ( ! [X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(lG1832(X0,X3)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(equality_resolution,[],[f66478])).
% 58.08/9.44 tff(f66478,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (X2 != X3 | ($true != aa(nat,$o,vEBT_vebt_member(lG1832(X0,X2)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(definition_unfolding,[],[f62847,f46124])).
% 58.08/9.44 tff(f62847,plain,(
% 58.08/9.44 ( ! [X2 : nat,X3 : nat,X0 : vEBT_VEBT,X1 : nat] : (X2 != X3 | ($true != aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44797])).
% 58.08/9.44 tff(f44797,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (((($true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)) | ($true != aa(nat,$o,vEBT_vebt_member(X0),X3)) | X2 = X3) & ((($true = aa(nat,$o,vEBT_vebt_member(X0),X3)) & X2 != X3) | ($true != aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(flattening,[],[f44796])).
% 58.08/9.44 tff(f44796,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (((($true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)) | (($true != aa(nat,$o,vEBT_vebt_member(X0),X3)) | X2 = X3)) & ((($true = aa(nat,$o,vEBT_vebt_member(X0),X3)) & X2 != X3) | ($true != aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)))) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(nnf_transformation,[],[f35987])).
% 58.08/9.44 tff(f35987,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : ((($true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)) <=> (($true = aa(nat,$o,vEBT_vebt_member(X0),X3)) & X2 != X3)) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(ennf_transformation,[],[f19036])).
% 58.08/9.44 tff(f19036,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (vEBT_invar_vebt(X0,X1) => (($true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3)) <=> (($true = aa(nat,$o,vEBT_vebt_member(X0),X3)) & X2 != X3)))),
% 58.08/9.44 inference(fool_elimination,[],[f19035])).
% 58.08/9.44 tff(f19035,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat,X3 : nat] : (vEBT_invar_vebt(X0,X1) => (aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X0,X2)),X3) <=> (aa(nat,$o,vEBT_vebt_member(X0),X3) & X2 != X3)))),
% 58.08/9.44 inference(rectify,[],[f77])).
% 58.08/9.44 tff(f77,axiom,(
% 58.08/9.44 ! [X7 : vEBT_VEBT,X8 : nat,X9 : nat,X18 : nat] : (vEBT_invar_vebt(X7,X8) => (aa(nat,$o,vEBT_vebt_member(vEBT_vebt_delete(X7,X9)),X18) <=> (aa(nat,$o,vEBT_vebt_member(X7),X18) & X9 != X18)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_dele__member__cont__corr)).
% 58.08/9.44 tff(f101809,plain,(
% 58.08/9.44 spl5880_4035),
% 58.08/9.44 inference(avatar_split_clause,[],[f76750,f101807])).
% 58.08/9.44 tff(f76750,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62616,f67101])).
% 58.08/9.44 tff(f62616,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26712])).
% 58.08/9.44 tff(f26712,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f631])).
% 58.08/9.44 tff(f631,axiom,(
% 58.08/9.44 ! [X59 : nat,X57 : list(vEBT_VEBT),X60 : vEBT_VEBT,X105 : nat] : one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Node(none(product_prod(nat,nat)),X59,X57,X60),X105)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_630_T_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_Osimps_I4_J)).
% 58.08/9.44 tff(f101805,plain,(
% 58.08/9.44 spl5880_4034 | ~spl5880_1356 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86368,f86300,f85345,f101802])).
% 58.08/9.44 tff(f85345,plain,(
% 58.08/9.44 spl5880_1356 <=> iG1537(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1356])])).
% 58.08/9.44 tff(f86368,plain,(
% 58.08/9.44 iG1537(iG714($true),$true) | (~spl5880_1356 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85347,f86302])).
% 58.08/9.44 tff(f85347,plain,(
% 58.08/9.44 iG1537(iG1228($true),$true) | ~spl5880_1356),
% 58.08/9.44 inference(avatar_component_clause,[],[f85345])).
% 58.08/9.44 tff(f101799,plain,(
% 58.08/9.44 spl5880_4033),
% 58.08/9.44 inference(avatar_split_clause,[],[f76749,f101797])).
% 58.08/9.44 tff(f76749,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62615,f67101])).
% 58.08/9.44 tff(f62615,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26711])).
% 58.08/9.44 tff(f26711,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f1465])).
% 58.08/9.44 tff(f1465,axiom,(
% 58.08/9.44 ! [X100 : nat,X101 : list(vEBT_VEBT),X77 : vEBT_VEBT,X114 : nat] : one_one(nat) = vEBT_T_p_r_e_d(vEBT_Node(none(product_prod(nat,nat)),X100,X101,X77),X114)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1464_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_Osimps_I4_J)).
% 58.08/9.44 tff(f101794,plain,(
% 58.08/9.44 spl5880_4032),
% 58.08/9.44 inference(avatar_split_clause,[],[f76748,f101792])).
% 58.08/9.44 tff(f76748,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62614,f67101])).
% 58.08/9.44 tff(f62614,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26710])).
% 58.08/9.44 tff(f26710,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f739])).
% 58.08/9.44 tff(f739,axiom,(
% 58.08/9.44 ! [X100 : nat,X101 : list(vEBT_VEBT),X77 : vEBT_VEBT,X114 : nat] : one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Node(none(product_prod(nat,nat)),X100,X101,X77),X114)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_738_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H_Osimps_I4_J)).
% 58.08/9.44 tff(f101789,plain,(
% 58.08/9.44 spl5880_4031),
% 58.08/9.44 inference(avatar_split_clause,[],[f76747,f101787])).
% 58.08/9.44 tff(f76747,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62613,f67101])).
% 58.08/9.44 tff(f62613,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26709])).
% 58.08/9.44 tff(f26709,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f1468])).
% 58.08/9.44 tff(f1468,axiom,(
% 58.08/9.44 ! [X99 : nat,X100 : list(vEBT_VEBT),X101 : vEBT_VEBT,X77 : nat] : one_one(nat) = vEBT_T_s_u_c_c(vEBT_Node(none(product_prod(nat,nat)),X99,X100,X101),X77)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1467_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_Osimps_I3_J)).
% 58.08/9.44 tff(f101784,plain,(
% 58.08/9.44 spl5880_4030),
% 58.08/9.44 inference(avatar_split_clause,[],[f76746,f101782])).
% 58.08/9.44 tff(f76746,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62612,f67101])).
% 58.08/9.44 tff(f62612,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26708])).
% 58.08/9.44 tff(f26708,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f740])).
% 58.08/9.44 tff(f740,axiom,(
% 58.08/9.44 ! [X99 : nat,X100 : list(vEBT_VEBT),X101 : vEBT_VEBT,X77 : nat] : one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Node(none(product_prod(nat,nat)),X99,X100,X101),X77)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_739_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H_Osimps_I3_J)).
% 58.08/9.44 tff(f101779,plain,(
% 58.08/9.44 spl5880_4029),
% 58.08/9.44 inference(avatar_split_clause,[],[f76745,f101777])).
% 58.08/9.44 tff(f76745,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3) = iG1228($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f62611,f67101])).
% 58.08/9.44 tff(f62611,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26707])).
% 58.08/9.44 tff(f26707,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2),X3)),
% 58.08/9.44 inference(rectify,[],[f1645])).
% 58.08/9.44 tff(f1645,axiom,(
% 58.08/9.44 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT,X9 : nat] : one_one(nat) = vEBT_T_m_e_m_b_e_r2(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110),X9)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1644_T_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H_Osimps_I2_J)).
% 58.08/9.44 tff(f101774,plain,(
% 58.08/9.44 spl5880_4028),
% 58.08/9.44 inference(avatar_split_clause,[],[f76206,f101772])).
% 58.08/9.44 tff(f76206,plain,(
% 58.08/9.44 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2377(X0,X1,X2)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f61899,f69765])).
% 58.08/9.44 tff(f61899,plain,(
% 58.08/9.44 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ~sP2377(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44332])).
% 58.08/9.44 tff(f44332,plain,(
% 58.08/9.44 ! [X0 : real,X1 : nat,X2 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X1),X2)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))))) != X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ~sP2377(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f44331])).
% 58.08/9.44 tff(f44331,plain,(
% 58.08/9.44 ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat)))))) != X2 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) | ~sP2377(X2,X0,X1))),
% 58.08/9.44 inference(nnf_transformation,[],[f37717])).
% 58.08/9.44 tff(f37717,plain,(
% 58.08/9.44 ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat)))))) != X2 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) | ~sP2377(X2,X0,X1))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2377])])).
% 58.08/9.44 tff(f101769,plain,(
% 58.08/9.44 spl5880_4027),
% 58.08/9.44 inference(avatar_split_clause,[],[f76198,f101767])).
% 58.08/9.44 tff(f76198,plain,(
% 58.08/9.44 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG1228($true)),X1) | ~sP2378(X0,X1,X2)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f61896,f69765])).
% 58.08/9.44 tff(f61896,plain,(
% 58.08/9.44 ( ! [X2 : real,X0 : real,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ~sP2378(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44330])).
% 58.08/9.44 tff(f44330,plain,(
% 58.08/9.44 ! [X0 : real,X1 : nat,X2 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X1),X2)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat))))))) != X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),zero_zero(real))) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ~sP2378(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f44329])).
% 58.08/9.44 tff(f44329,plain,(
% 58.08/9.44 ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))))))) != X2 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) | ~sP2378(X2,X0,X1))),
% 58.08/9.44 inference(nnf_transformation,[],[f37718])).
% 58.08/9.44 tff(f37718,plain,(
% 58.08/9.44 ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))))))) != X2 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) | ~sP2378(X2,X0,X1))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2378])])).
% 58.08/9.44 tff(f101764,plain,(
% 58.08/9.44 spl5880_4026),
% 58.08/9.44 inference(avatar_split_clause,[],[f74934,f101762])).
% 58.08/9.44 tff(f74934,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2) != iG894($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f60059,f67338])).
% 58.08/9.44 tff(f60059,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26292])).
% 58.08/9.44 tff(f26292,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X2 : product_prod(X0,X1)] : zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)),
% 58.08/9.44 inference(rectify,[],[f7008])).
% 58.08/9.44 tff(f7008,axiom,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X9 : product_prod(X0,X1)] : zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X9)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7007_prod_Osize__neq)).
% 58.08/9.44 tff(f101759,plain,(
% 58.08/9.44 spl5880_4025),
% 58.08/9.44 inference(avatar_split_clause,[],[f74933,f101757])).
% 58.08/9.44 tff(f74933,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2) != iG894($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f60058,f67338])).
% 58.08/9.44 tff(f60058,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26291])).
% 58.08/9.44 tff(f26291,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X2 : sum_sum(X0,X1)] : zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)),
% 58.08/9.44 inference(rectify,[],[f7007])).
% 58.08/9.44 tff(f7007,axiom,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X9 : sum_sum(X0,X1)] : zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X9)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7006_sum_Osize__neq)).
% 58.08/9.44 tff(f101755,plain,(
% 58.08/9.44 spl5880_4024),
% 58.08/9.44 inference(avatar_split_clause,[],[f74358,f101753])).
% 58.08/9.44 tff(f101753,plain,(
% 58.08/9.44 spl5880_4024 <=> ! [X0 : complex] : aa(complex,complex,uminus_uminus(complex),aa(complex,complex,uminus_uminus(complex),X0)) = X0),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4024])])).
% 58.08/9.44 tff(f74358,plain,(
% 58.08/9.44 ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,uminus_uminus(complex),X0)) = X0) )),
% 58.08/9.44 inference(forward_demodulation,[],[f68362,f50480])).
% 58.08/9.44 tff(f50480,plain,(
% 58.08/9.44 ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(complex),X0) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f23005])).
% 58.08/9.44 tff(f23005,plain,(
% 58.08/9.44 ! [X0 : complex] : aa(complex,complex,uminus_uminus(complex),X0) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))),
% 58.08/9.44 inference(rectify,[],[f4122])).
% 58.08/9.44 tff(f4122,axiom,(
% 58.08/9.44 ! [X9 : complex] : aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X9)) = aa(complex,complex,uminus_uminus(complex),X9)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4121_complex__i__mult__minus)).
% 58.08/9.44 tff(f68362,plain,(
% 58.08/9.44 ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))) = X0) )),
% 58.08/9.44 inference(equality_resolution,[],[f59524])).
% 58.08/9.44 tff(f59524,plain,(
% 58.08/9.44 ( ! [X0 : complex,X1 : complex] : (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0 | aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) != X1) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42475])).
% 58.08/9.44 tff(f42475,plain,(
% 58.08/9.44 ! [X0 : complex,X1 : complex] : ((aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) = X1 | aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) != X0) & (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0 | aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) != X1))),
% 58.08/9.44 inference(nnf_transformation,[],[f26235])).
% 58.08/9.44 tff(f26235,plain,(
% 58.08/9.44 ! [X0 : complex,X1 : complex] : (aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) = X1 <=> aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0)),
% 58.08/9.44 inference(rectify,[],[f4166])).
% 58.08/9.44 tff(f4166,axiom,(
% 58.08/9.44 ! [X20 : complex,X21 : complex] : (aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X20) = X21 <=> aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X21)) = X20)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4165_i__times__eq__iff)).
% 58.08/9.44 tff(f101751,plain,(
% 58.08/9.44 spl5880_4023 | ~spl5880_1345 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86367,f86300,f85063,f101748])).
% 58.08/9.44 tff(f85063,plain,(
% 58.08/9.44 spl5880_1345 <=> iG802(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1345])])).
% 58.08/9.44 tff(f86367,plain,(
% 58.08/9.44 iG802(iG714($true),$true) | (~spl5880_1345 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85065,f86302])).
% 58.08/9.44 tff(f85065,plain,(
% 58.08/9.44 iG802(iG1228($true),$true) | ~spl5880_1345),
% 58.08/9.44 inference(avatar_component_clause,[],[f85063])).
% 58.08/9.44 tff(f101743,plain,(
% 58.08/9.44 ~spl5880_4022 | ~spl5880_1544 | spl5880_4021),
% 58.08/9.44 inference(avatar_split_clause,[],[f101738,f101734,f86336,f101740])).
% 58.08/9.44 tff(f101740,plain,(
% 58.08/9.44 spl5880_4022 <=> ($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG717($true)))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4022])])).
% 58.08/9.44 tff(f101734,plain,(
% 58.08/9.44 spl5880_4021 <=> ($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG894($true)))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4021])])).
% 58.08/9.44 tff(f101738,plain,(
% 58.08/9.44 ($true != aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG717($true))) | (~spl5880_1544 | spl5880_4021)),
% 58.08/9.44 inference(forward_demodulation,[],[f101735,f86338])).
% 58.08/9.44 tff(f101735,plain,(
% 58.08/9.44 ($true != aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG894($true))) | spl5880_4021),
% 58.08/9.44 inference(avatar_component_clause,[],[f101734])).
% 58.08/9.44 tff(f101737,plain,(
% 58.08/9.44 spl5880_4020 | spl5880_4021),
% 58.08/9.44 inference(avatar_split_clause,[],[f73253,f101734,f101731])).
% 58.08/9.44 tff(f101731,plain,(
% 58.08/9.44 spl5880_4020 <=> ! [X0 : vEBT_VEBT,X1 : nat] : ~sP2052(X0,X1)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4020])])).
% 58.08/9.44 tff(f73253,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG894($true))) | ~sP2052(X0,X1)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f58184,f67338])).
% 58.08/9.44 tff(f58184,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : ((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),zero_zero(nat)) = $true) | ~sP2052(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41666])).
% 58.08/9.44 tff(f41666,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),zero_zero(nat)) = $true) & vEBT_Leaf($false,$false) = X0 & zero_zero(nat) = X1) | ~sP2052(X0,X1))),
% 58.08/9.44 inference(rectify,[],[f41665])).
% 58.08/9.44 tff(f41665,plain,(
% 58.08/9.44 ! [X1 : vEBT_VEBT,X0 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),zero_zero(nat)) = $true) & vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0) | ~sP2052(X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37285])).
% 58.08/9.44 tff(f37285,plain,(
% 58.08/9.44 ! [X1 : vEBT_VEBT,X0 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),zero_zero(nat)) = $true) & vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0) | ~sP2052(X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2052])])).
% 58.08/9.44 tff(f101726,plain,(
% 58.08/9.44 ~spl5880_4019 | ~spl5880_1536 | spl5880_4018),
% 58.08/9.44 inference(avatar_split_clause,[],[f101721,f101717,f86300,f101723])).
% 58.08/9.44 tff(f101723,plain,(
% 58.08/9.44 spl5880_4019 <=> ($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG714($true)))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4019])])).
% 58.08/9.44 tff(f101717,plain,(
% 58.08/9.44 spl5880_4018 <=> ($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG1228($true)))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4018])])).
% 58.08/9.44 tff(f101721,plain,(
% 58.08/9.44 ($true != aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG714($true))) | (~spl5880_1536 | spl5880_4018)),
% 58.08/9.44 inference(forward_demodulation,[],[f101718,f86302])).
% 58.08/9.44 tff(f101718,plain,(
% 58.08/9.44 ($true != aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG1228($true))) | spl5880_4018),
% 58.08/9.44 inference(avatar_component_clause,[],[f101717])).
% 58.08/9.44 tff(f101720,plain,(
% 58.08/9.44 spl5880_4017 | spl5880_4018),
% 58.08/9.44 inference(avatar_split_clause,[],[f73249,f101717,f101714])).
% 58.08/9.44 tff(f101714,plain,(
% 58.08/9.44 spl5880_4017 <=> ! [X0 : vEBT_VEBT,X1 : nat] : ~sP2053(X0,X1)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4017])])).
% 58.08/9.44 tff(f73249,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),iG1228($true))) | ~sP2053(X0,X1)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f73248,f69743])).
% 58.08/9.44 tff(f73248,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),aa(nat,nat,suc,iG894($true)))) | ~sP2053(X0,X1)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f58181,f67338])).
% 58.08/9.44 tff(f58181,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : ((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),aa(nat,nat,suc,zero_zero(nat))) = $true) | ~sP2053(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41664])).
% 58.08/9.44 tff(f41664,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),aa(nat,nat,suc,zero_zero(nat))) = $true) & vEBT_Leaf($false,$false) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1) | ~sP2053(X0,X1))),
% 58.08/9.44 inference(rectify,[],[f41663])).
% 58.08/9.44 tff(f41663,plain,(
% 58.08/9.44 ! [X1 : vEBT_VEBT,X0 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),aa(nat,nat,suc,zero_zero(nat))) = $true) & vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | ~sP2053(X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37286])).
% 58.08/9.44 tff(f37286,plain,(
% 58.08/9.44 ! [X1 : vEBT_VEBT,X0 : nat] : (((aa(nat,$o,accp(nat,vEBT_v4011308405150292612up_rel),aa(nat,nat,suc,zero_zero(nat))) = $true) & vEBT_Leaf($false,$false) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | ~sP2053(X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2053])])).
% 58.08/9.44 tff(f101711,plain,(
% 58.08/9.44 spl5880_4016),
% 58.08/9.44 inference(avatar_split_clause,[],[f73085,f101709])).
% 58.08/9.44 tff(f73085,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0) )),
% 58.08/9.44 inference(forward_demodulation,[],[f68153,f67101])).
% 58.08/9.44 tff(f68153,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 58.08/9.44 inference(equality_resolution,[],[f58022])).
% 58.08/9.44 tff(f58022,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41550])).
% 58.08/9.44 tff(f41550,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3676,sK3677])],[f33747,f41549])).
% 58.08/9.44 tff(f41549,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG862(X2),bG863(X3)) = X0 => vEBT_Leaf(bG862(sK3676(X0)),bG863(sK3677(X0))) = X0)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f33747,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG862(X2),bG863(X3)) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(flattening,[],[f33746])).
% 58.08/9.44 tff(f33746,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X2 : $o,X3 : $o] : vEBT_Leaf(bG862(X2),bG863(X3)) = X0 | one_one(nat) != X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.44 inference(ennf_transformation,[],[f15414])).
% 58.08/9.44 tff(f15414,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => (one_one(nat) = X1 => ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG862(X2),bG863(X3)) = X0))),
% 58.08/9.44 inference(fool_elimination,[],[f15411,f15413,f15412])).
% 58.08/9.44 tff(f15412,plain,(
% 58.08/9.44 ! [X2 : $o] : (($true = X2) <=> ($true = bG862(X2)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG862])])).
% 58.08/9.44 tff(f15413,plain,(
% 58.08/9.44 ! [X3 : $o] : (($true = X3) <=> ($true = bG863(X3)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG863])])).
% 58.08/9.44 tff(f15411,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => (one_one(nat) = X1 => ? [X2,X3] : X0 = vEBT_Leaf(X2,X3)))),
% 58.08/9.44 inference(rectify,[],[f837])).
% 58.08/9.44 tff(f837,axiom,(
% 58.08/9.44 ! [X7 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(X7,X8) => (one_one(nat) = X8 => ? [X106 : $o,X107 : $o] : X7 = vEBT_Leaf(X106,X107)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_836_deg__1__Leafy)).
% 58.08/9.44 tff(f101706,plain,(
% 58.08/9.44 spl5880_4015),
% 58.08/9.44 inference(avatar_split_clause,[],[f72960,f101704])).
% 58.08/9.44 tff(f72960,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1))) = iG894($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f57255,f67338])).
% 58.08/9.44 tff(f57255,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (zero_zero(nat) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1)))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14878])).
% 58.08/9.44 tff(f14878,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : zero_zero(nat) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(bG760(X0),bG761(X1)))),
% 58.08/9.44 inference(fool_elimination,[],[f14875,f14877,f14876])).
% 58.08/9.44 tff(f14876,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG760(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG760])])).
% 58.08/9.44 tff(f14877,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG761(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG761])])).
% 58.08/9.44 tff(f14875,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X0,X1)) = zero_zero(nat)),
% 58.08/9.44 inference(rectify,[],[f1033])).
% 58.08/9.44 tff(f1033,axiom,(
% 58.08/9.44 ! [X139 : $o,X140 : $o] : aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X139,X140)) = zero_zero(nat)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1032_VEBT_Osize_I4_J)).
% 58.08/9.44 tff(f101702,plain,(
% 58.08/9.44 spl5880_4014 | ~spl5880_1344 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86366,f86300,f85058,f101699])).
% 58.08/9.44 tff(f85058,plain,(
% 58.08/9.44 spl5880_1344 <=> iG810(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1344])])).
% 58.08/9.44 tff(f86366,plain,(
% 58.08/9.44 iG810(iG714($true),$true) | (~spl5880_1344 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85060,f86302])).
% 58.08/9.44 tff(f85060,plain,(
% 58.08/9.44 iG810(iG1228($true),$true) | ~spl5880_1344),
% 58.08/9.44 inference(avatar_component_clause,[],[f85058])).
% 58.08/9.44 tff(f101696,plain,(
% 58.08/9.44 spl5880_4013),
% 58.08/9.44 inference(avatar_split_clause,[],[f72957,f101694])).
% 58.08/9.44 tff(f72957,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),iG1228($true))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72956,f69743])).
% 58.08/9.44 tff(f72956,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f66082,f67338])).
% 58.08/9.44 tff(f66082,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf(bG755(X0),$false) = lG1832(vEBT_Leaf(bG753(X0),bG754(X1)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f57252,f46124])).
% 58.08/9.44 tff(f57252,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_delete(vEBT_Leaf(bG753(X0),bG754(X1)),aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf(bG755(X0),$false)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14866])).
% 58.08/9.44 tff(f14866,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_delete(vEBT_Leaf(bG753(X0),bG754(X1)),aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf(bG755(X0),$false)),
% 58.08/9.44 inference(fool_elimination,[],[f14862,f14865,f14864,f14863])).
% 58.08/9.44 tff(f14863,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG753(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG753])])).
% 58.08/9.44 tff(f14864,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG754(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG754])])).
% 58.08/9.44 tff(f14865,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG755(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG755])])).
% 58.08/9.44 tff(f14862,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_delete(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf(X0,$false)),
% 58.08/9.44 inference(rectify,[],[f1056])).
% 58.08/9.44 tff(f1056,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_vebt_delete(vEBT_Leaf(X11,X12),aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf(X11,$false)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1055_vebt__delete_Osimps_I2_J)).
% 58.08/9.44 tff(f101691,plain,(
% 58.08/9.44 spl5880_4012),
% 58.08/9.44 inference(avatar_split_clause,[],[f72955,f101689])).
% 58.08/9.44 tff(f72955,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),iG894($true))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f66081,f67338])).
% 58.08/9.44 tff(f66081,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_Leaf($false,bG752(X1)) = lG1832(vEBT_Leaf(bG750(X0),bG751(X1)),zero_zero(nat))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f57251,f46124])).
% 58.08/9.44 tff(f57251,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_delete(vEBT_Leaf(bG750(X0),bG751(X1)),zero_zero(nat)) = vEBT_Leaf($false,bG752(X1))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14861])).
% 58.08/9.44 tff(f14861,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_delete(vEBT_Leaf(bG750(X0),bG751(X1)),zero_zero(nat)) = vEBT_Leaf($false,bG752(X1))),
% 58.08/9.44 inference(fool_elimination,[],[f14857,f14860,f14859,f14858])).
% 58.08/9.44 tff(f14858,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG750(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG750])])).
% 58.08/9.44 tff(f14859,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG751(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG751])])).
% 58.08/9.44 tff(f14860,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG752(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG752])])).
% 58.08/9.44 tff(f14857,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_delete(vEBT_Leaf(X0,X1),zero_zero(nat)) = vEBT_Leaf($false,X1)),
% 58.08/9.44 inference(rectify,[],[f1049])).
% 58.08/9.44 tff(f1049,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_vebt_delete(vEBT_Leaf(X11,X12),zero_zero(nat)) = vEBT_Leaf($false,X12)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1048_vebt__delete_Osimps_I1_J)).
% 58.08/9.44 tff(f101687,plain,(
% 58.08/9.44 spl5880_4011),
% 58.08/9.44 inference(avatar_split_clause,[],[f72929,f101685])).
% 58.08/9.44 tff(f101685,plain,(
% 58.08/9.44 spl5880_4011 <=> ! [X0 : $o,X1 : $o] : vEBT_T_m_i_n_t(vEBT_Leaf(bG715(X0),bG716(X1))) = aa(nat,nat,suc,iG717(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4011])])).
% 58.08/9.44 tff(f72929,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_i_n_t(vEBT_Leaf(bG715(X0),bG716(X1))) = aa(nat,nat,suc,iG717(X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72928,f69753])).
% 58.08/9.44 tff(f72928,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_i_n_t(vEBT_Leaf(bG715(X0),bG716(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)),iG717(X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f57237,f67101])).
% 58.08/9.44 tff(f57237,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_i_n_t(vEBT_Leaf(bG715(X0),bG716(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG717(X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14798])).
% 58.08/9.44 tff(f14798,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_T_m_i_n_t(vEBT_Leaf(bG715(X0),bG716(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG717(X0))),
% 58.08/9.44 inference(fool_elimination,[],[f14794,f14797,f14796,f14795])).
% 58.08/9.44 tff(f14795,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG715(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG715])])).
% 58.08/9.44 tff(f14796,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG716(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG716])])).
% 58.08/9.44 tff(f14797,plain,(
% 58.08/9.44 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG717(X0)) & ! [X0 : $o] : (($true = X0) => zero_zero(nat) = iG717(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG717])])).
% 58.08/9.44 tff(f14794,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_T_m_i_n_t(vEBT_Leaf(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X0, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.44 inference(rectify,[],[f1130])).
% 58.08/9.44 tff(f1130,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_T_m_i_n_t(vEBT_Leaf(X11,X12)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X11, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1129_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t_Osimps_I1_J)).
% 58.08/9.44 tff(f101683,plain,(
% 58.08/9.44 spl5880_4010),
% 58.08/9.44 inference(avatar_split_clause,[],[f72927,f101681])).
% 58.08/9.44 tff(f101681,plain,(
% 58.08/9.44 spl5880_4010 <=> ! [X0 : $o,X1 : $o] : vEBT_T_m_a_x_t(vEBT_Leaf(bG712(X0),bG713(X1))) = aa(nat,nat,suc,iG714(X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4010])])).
% 58.08/9.44 tff(f72927,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_a_x_t(vEBT_Leaf(bG712(X0),bG713(X1))) = aa(nat,nat,suc,iG714(X1))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72926,f69753])).
% 58.08/9.44 tff(f72926,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_a_x_t(vEBT_Leaf(bG712(X0),bG713(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),iG1228($true)),iG714(X1))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f57236,f67101])).
% 58.08/9.44 tff(f57236,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_T_m_a_x_t(vEBT_Leaf(bG712(X0),bG713(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG714(X1))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14793])).
% 58.08/9.44 tff(f14793,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_T_m_a_x_t(vEBT_Leaf(bG712(X0),bG713(X1))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG714(X1))),
% 58.08/9.44 inference(fool_elimination,[],[f14789,f14792,f14791,f14790])).
% 58.08/9.44 tff(f14790,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG712(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG712])])).
% 58.08/9.44 tff(f14791,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG713(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG713])])).
% 58.08/9.44 tff(f14792,plain,(
% 58.08/9.44 ! [X1 : $o] : (~($true = X1) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG714(X1)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG714(X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG714])])).
% 58.08/9.44 tff(f14789,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_T_m_a_x_t(vEBT_Leaf(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X1, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.44 inference(rectify,[],[f1278])).
% 58.08/9.44 tff(f1278,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_T_m_a_x_t(vEBT_Leaf(X11,X12)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X12, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1277_T_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t_Osimps_I1_J)).
% 58.08/9.44 tff(f101677,plain,(
% 58.08/9.44 ~spl5880_4008 | spl5880_4009),
% 58.08/9.44 inference(avatar_split_clause,[],[f72079,f101675,f101671])).
% 58.08/9.44 tff(f101671,plain,(
% 58.08/9.44 spl5880_4008 <=> iG1228($true) = iG894($true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4008])])).
% 58.08/9.44 tff(f101675,plain,(
% 58.08/9.44 spl5880_4009 <=> ! [X0 : nat] : iG894($true) != modulo_modulo(nat,X0,iG894($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4009])])).
% 58.08/9.44 tff(f72079,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) != modulo_modulo(nat,X0,iG894($true)) | iG1228($true) != iG894($true)) )),
% 58.08/9.44 inference(inner_rewriting,[],[f72078])).
% 58.08/9.44 tff(f72078,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) != modulo_modulo(nat,X0,iG1228($true)) | iG1228($true) != iG894($true)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72077,f69743])).
% 58.08/9.44 tff(f72077,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG894($true))) | iG1228($true) != iG894($true)) )),
% 58.08/9.44 inference(inner_rewriting,[],[f72076])).
% 58.08/9.44 tff(f72076,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | iG1228($true) != iG894($true)) )),
% 58.08/9.44 inference(inner_rewriting,[],[f72075])).
% 58.08/9.44 tff(f72075,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | iG1228($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72074,f67338])).
% 58.08/9.44 tff(f72074,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (zero_zero(nat) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | iG1228($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72073,f69765])).
% 58.08/9.44 tff(f72073,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG1228($true) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | zero_zero(nat) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72072,f69743])).
% 58.08/9.44 tff(f72072,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | zero_zero(nat) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f72071,f67338])).
% 58.08/9.44 tff(f72071,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != modulo_modulo(nat,X0,aa(nat,nat,suc,iG1228($true))) | zero_zero(nat) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f56501,f69765])).
% 58.08/9.44 tff(f56501,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) | zero_zero(nat) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f40914])).
% 58.08/9.44 tff(f40914,plain,(
% 58.08/9.44 ! [X0 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) | zero_zero(nat) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) & (zero_zero(nat) = modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) | aa(nat,nat,suc,zero_zero(nat)) = modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 58.08/9.44 inference(nnf_transformation,[],[f25215])).
% 58.08/9.44 tff(f25215,plain,(
% 58.08/9.44 ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) <=> zero_zero(nat) = modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 58.08/9.44 inference(rectify,[],[f1023])).
% 58.08/9.44 tff(f1023,axiom,(
% 58.08/9.44 ! [X8 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) <=> zero_zero(nat) = modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1022_not__mod2__eq__Suc__0__eq__0)).
% 58.08/9.44 tff(f101668,plain,(
% 58.08/9.44 spl5880_4007),
% 58.08/9.44 inference(avatar_split_clause,[],[f71965,f101666])).
% 58.08/9.44 tff(f71965,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0) )),
% 58.08/9.44 inference(forward_demodulation,[],[f56428,f67101])).
% 58.08/9.44 tff(f56428,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f40849])).
% 58.08/9.44 tff(f40849,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : $o,X2 : $o] : vEBT_Leaf(bG619(X1),bG620(X2)) != X0) & (vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3339,sK3340])],[f40847,f40848])).
% 58.08/9.44 tff(f40848,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG619(X3),bG620(X4)) = X0 => vEBT_Leaf(bG619(sK3339(X0)),bG620(sK3340(X0))) = X0)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f40847,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : $o,X2 : $o] : vEBT_Leaf(bG619(X1),bG620(X2)) != X0) & (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG619(X3),bG620(X4)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 58.08/9.44 inference(rectify,[],[f40846])).
% 58.08/9.44 tff(f40846,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : $o,X2 : $o] : vEBT_Leaf(bG619(X1),bG620(X2)) != X0) & (? [X1 : $o,X2 : $o] : vEBT_Leaf(bG619(X1),bG620(X2)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 58.08/9.44 inference(nnf_transformation,[],[f14287])).
% 58.08/9.44 tff(f14287,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) <=> ? [X1 : $o,X2 : $o] : vEBT_Leaf(bG619(X1),bG620(X2)) = X0)),
% 58.08/9.44 inference(fool_elimination,[],[f14284,f14286,f14285])).
% 58.08/9.44 tff(f14285,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG619(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG619])])).
% 58.08/9.44 tff(f14286,plain,(
% 58.08/9.44 ! [X2 : $o] : (($true = X2) <=> ($true = bG620(X2)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG620])])).
% 58.08/9.44 tff(f14284,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) <=> ? [X1,X2] : X0 = vEBT_Leaf(X1,X2))),
% 58.08/9.44 inference(rectify,[],[f839])).
% 58.08/9.44 tff(f839,axiom,(
% 58.08/9.44 ! [X7 : vEBT_VEBT] : (vEBT_invar_vebt(X7,one_one(nat)) <=> ? [X137 : $o,X138 : $o] : X7 = vEBT_Leaf(X137,X138))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_838_deg1Leaf)).
% 58.08/9.44 tff(f101663,plain,(
% 58.08/9.44 spl5880_4006),
% 58.08/9.44 inference(avatar_split_clause,[],[f71963,f101661])).
% 58.08/9.44 tff(f71963,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f65934,f67338])).
% 58.08/9.44 tff(f65934,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != iG1545($o,X0,aTP_Lamp_ma(nat,$o),$true))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f56427,f62782])).
% 58.08/9.44 tff(f56427,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != case_nat($o,$true,aTP_Lamp_ma(nat,$o),X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f40845])).
% 58.08/9.44 tff(f40845,plain,(
% 58.08/9.44 ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != case_nat($o,$true,aTP_Lamp_ma(nat,$o),X0))) & (($true = case_nat($o,$true,aTP_Lamp_ma(nat,$o),X0)) | zero_zero(nat) != X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f14283])).
% 58.08/9.44 tff(f14283,plain,(
% 58.08/9.44 ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = case_nat($o,$true,aTP_Lamp_ma(nat,$o),X0)))),
% 58.08/9.44 inference(fool_elimination,[],[f14282])).
% 58.08/9.44 tff(f14282,plain,(
% 58.08/9.44 ! [X0 : nat] : (zero_zero(nat) = X0 <=> case_nat($o,$true,aTP_Lamp_ma(nat,$o),X0))),
% 58.08/9.44 inference(rectify,[],[f5494])).
% 58.08/9.44 tff(f5494,axiom,(
% 58.08/9.44 ! [X36 : nat] : (zero_zero(nat) = X36 <=> case_nat($o,$true,aTP_Lamp_ma(nat,$o),X36))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5493_nat_Odisc__eq__case_I1_J)).
% 58.08/9.44 tff(f101658,plain,(
% 58.08/9.44 spl5880_4005),
% 58.08/9.44 inference(avatar_split_clause,[],[f71960,f101656])).
% 58.08/9.44 tff(f71960,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (iG894($true) = X0 | ($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f65931,f67338])).
% 58.08/9.44 tff(f65931,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (($true = iG1545($o,X0,aTP_Lamp_mb(nat,$o),$false)) | zero_zero(nat) = X0) )),
% 58.08/9.44 inference(definition_unfolding,[],[f56422,f62782])).
% 58.08/9.44 tff(f56422,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (($true = case_nat($o,$false,aTP_Lamp_mb(nat,$o),X0)) | zero_zero(nat) = X0) )),
% 58.08/9.44 inference(cnf_transformation,[],[f40843])).
% 58.08/9.44 tff(f40843,plain,(
% 58.08/9.44 ! [X0 : nat] : ((zero_zero(nat) != X0 | ($true != case_nat($o,$false,aTP_Lamp_mb(nat,$o),X0))) & (($true = case_nat($o,$false,aTP_Lamp_mb(nat,$o),X0)) | zero_zero(nat) = X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f14281])).
% 58.08/9.44 tff(f14281,plain,(
% 58.08/9.44 ! [X0 : nat] : (zero_zero(nat) != X0 <=> ($true = case_nat($o,$false,aTP_Lamp_mb(nat,$o),X0)))),
% 58.08/9.44 inference(fool_elimination,[],[f14280])).
% 58.08/9.44 tff(f14280,plain,(
% 58.08/9.44 ! [X0 : nat] : (zero_zero(nat) != X0 <=> case_nat($o,$false,aTP_Lamp_mb(nat,$o),X0))),
% 58.08/9.44 inference(rectify,[],[f5495])).
% 58.08/9.44 tff(f5495,axiom,(
% 58.08/9.44 ! [X36 : nat] : (zero_zero(nat) != X36 <=> case_nat($o,$false,aTP_Lamp_mb(nat,$o),X36))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5494_nat_Odisc__eq__case_I2_J)).
% 58.08/9.44 tff(f101653,plain,(
% 58.08/9.44 spl5880_4004),
% 58.08/9.44 inference(avatar_split_clause,[],[f71351,f101651])).
% 58.08/9.44 tff(f71351,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG1228($true)) | vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0) )),
% 58.08/9.44 inference(forward_demodulation,[],[f55668,f67101])).
% 58.08/9.44 tff(f55668,plain,(
% 58.08/9.44 ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f40432])).
% 58.08/9.44 tff(f40432,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3000,sK3001])],[f32169,f40431])).
% 58.08/9.44 tff(f40431,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (? [X1 : $o,X2 : $o] : vEBT_Leaf(bG565(X1),bG566(X2)) = X0 => vEBT_Leaf(bG565(sK3000(X0)),bG566(sK3001(X0))) = X0)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f32169,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (? [X1 : $o,X2 : $o] : vEBT_Leaf(bG565(X1),bG566(X2)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 58.08/9.44 inference(ennf_transformation,[],[f13565])).
% 58.08/9.44 tff(f13565,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) => ? [X1 : $o,X2 : $o] : vEBT_Leaf(bG565(X1),bG566(X2)) = X0)),
% 58.08/9.44 inference(fool_elimination,[],[f13562,f13564,f13563])).
% 58.08/9.44 tff(f13563,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG565(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG565])])).
% 58.08/9.44 tff(f13564,plain,(
% 58.08/9.44 ! [X2 : $o] : (($true = X2) <=> ($true = bG566(X2)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG566])])).
% 58.08/9.44 tff(f13562,plain,(
% 58.08/9.44 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) => ? [X1,X2] : X0 = vEBT_Leaf(X1,X2))),
% 58.08/9.44 inference(rectify,[],[f838])).
% 58.08/9.44 tff(f838,axiom,(
% 58.08/9.44 ! [X7 : vEBT_VEBT] : (vEBT_invar_vebt(X7,one_one(nat)) => ? [X106 : $o,X107 : $o] : X7 = vEBT_Leaf(X106,X107))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_837_deg__1__Leaf)).
% 58.08/9.44 tff(f101648,plain,(
% 58.08/9.44 spl5880_4003),
% 58.08/9.44 inference(avatar_split_clause,[],[f71111,f101646])).
% 58.08/9.44 tff(f71111,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f71110,f69986])).
% 58.08/9.44 tff(f69986,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (semiring_char_0_fact(nat,X0) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,iG894($true),X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f50429,f67338])).
% 58.08/9.44 tff(f50429,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (semiring_char_0_fact(nat,X0) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f22954])).
% 58.08/9.44 tff(f22954,plain,(
% 58.08/9.44 ! [X0 : nat] : semiring_char_0_fact(nat,X0) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))),
% 58.08/9.44 inference(rectify,[],[f5148])).
% 58.08/9.44 tff(f5148,axiom,(
% 58.08/9.44 ! [X8 : nat] : semiring_char_0_fact(nat,X8) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X8))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5147_prod__Suc__fact)).
% 58.08/9.44 tff(f71110,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,iG894($true),X1))) | ~semiring_char_0(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f71109,f67338])).
% 58.08/9.44 tff(f71109,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG577(X0,one_one(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X1))) | ~semiring_char_0(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f54562,f67555])).
% 58.08/9.44 tff(f54562,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X1))) | ~semiring_char_0(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f31291])).
% 58.08/9.44 tff(f31291,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X1))) | ~semiring_char_0(X0))),
% 58.08/9.44 inference(ennf_transformation,[],[f24616])).
% 58.08/9.44 tff(f24616,plain,(
% 58.08/9.44 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X1))))),
% 58.08/9.44 inference(rectify,[],[f5158])).
% 58.08/9.44 tff(f5158,axiom,(
% 58.08/9.44 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : semiring_char_0_fact(X0,X8) = aa(nat,X0,semiring_1_of_nat(X0),aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7121269368397514597t_prod(nat,nat),suc),set_or7035219750837199246ssThan(nat,zero_zero(nat),X8))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5157_fact__prod__Suc)).
% 58.08/9.44 tff(f101644,plain,(
% 58.08/9.44 spl5880_4002 | ~spl5880_1343 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86365,f86300,f85053,f101641])).
% 58.08/9.44 tff(f85053,plain,(
% 58.08/9.44 spl5880_1343 <=> iG842(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1343])])).
% 58.08/9.44 tff(f86365,plain,(
% 58.08/9.44 iG842(iG714($true),$true) | (~spl5880_1343 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85055,f86302])).
% 58.08/9.44 tff(f85055,plain,(
% 58.08/9.44 iG842(iG1228($true),$true) | ~spl5880_1343),
% 58.08/9.44 inference(avatar_component_clause,[],[f85053])).
% 58.08/9.44 tff(f101638,plain,(
% 58.08/9.44 spl5880_4001),
% 58.08/9.44 inference(avatar_split_clause,[],[f70822,f101636])).
% 58.08/9.44 tff(f70822,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : num,X0 : X1] : (iG894($true) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f70821,f67338])).
% 58.08/9.44 tff(f70821,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : num,X0 : X1] : (zero_zero(nat) != iG296(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f70820,f65842])).
% 58.08/9.44 tff(f70820,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : num,X0 : X1] : (zero_zero(nat) != lG696(aa(num,code_integer,code_positive,X2)) | sP1941(X1,X0,X2)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f53448,f69903])).
% 58.08/9.44 tff(f53448,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : num,X0 : X1] : (sP1941(X1,X0,X2) | zero_zero(nat) != aa(num,nat,numeral_numeral(nat),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39588])).
% 58.08/9.44 tff(f39588,plain,(
% 58.08/9.44 ! [X0 : X1,X1 : $tType,X2 : num] : ((sP1941(X1,X0,X2) | ((($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2))) & (zero_zero(X1) = X0 | ~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))) & ((($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2))) | (zero_zero(X1) != X0 & 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) | ~sP1941(X1,X0,X2)))),
% 58.08/9.44 inference(rectify,[],[f39587])).
% 58.08/9.44 tff(f39587,plain,(
% 58.08/9.44 ! [X1 : X0,X0 : $tType,X2 : num] : ((sP1941(X0,X1,X2) | ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) | 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 | ~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))) & ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~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 & 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) | ~sP1941(X0,X1,X2)))),
% 58.08/9.44 inference(flattening,[],[f39586])).
% 58.08/9.44 tff(f39586,plain,(
% 58.08/9.44 ! [X1 : X0,X0 : $tType,X2 : num] : ((sP1941(X0,X1,X2) | ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) | 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 | ~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))) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~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 & 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)) | ~sP1941(X0,X1,X2)))),
% 58.08/9.44 inference(nnf_transformation,[],[f37107])).
% 58.08/9.44 tff(f37107,plain,(
% 58.08/9.44 ! [X1 : X0,X0 : $tType,X2 : num] : (sP1941(X0,X1,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~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 & 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)))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1941])])).
% 58.08/9.44 tff(f101634,plain,(
% 58.08/9.44 spl5880_4000),
% 58.08/9.44 inference(avatar_split_clause,[],[f70703,f101632])).
% 58.08/9.44 tff(f101632,plain,(
% 58.08/9.44 spl5880_4000 <=> ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = iG577(X0,one_one(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_4000])])).
% 58.08/9.44 tff(f70703,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = iG577(X0,one_one(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f52715,f67555])).
% 58.08/9.44 tff(f52715,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f29866])).
% 58.08/9.44 tff(f29866,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.44 inference(ennf_transformation,[],[f24002])).
% 58.08/9.44 tff(f24002,plain,(
% 58.08/9.44 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)))),
% 58.08/9.44 inference(rectify,[],[f3149])).
% 58.08/9.44 tff(f3149,axiom,(
% 58.08/9.44 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : bit_se2239418461657761734s_mask(X0,X8) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X8)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3148_of__nat__mask__eq)).
% 58.08/9.44 tff(f101629,plain,(
% 58.08/9.44 spl5880_3999),
% 58.08/9.44 inference(avatar_split_clause,[],[f70702,f101627])).
% 58.08/9.44 tff(f70702,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,iG894($true)),X1) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f52711,f67338])).
% 58.08/9.44 tff(f52711,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,zero_zero(nat)),X1) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f29862])).
% 58.08/9.44 tff(f29862,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,zero_zero(nat)),X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.44 inference(ennf_transformation,[],[f23998])).
% 58.08/9.44 tff(f23998,plain,(
% 58.08/9.44 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,zero_zero(nat)),X1))),
% 58.08/9.44 inference(rectify,[],[f2926])).
% 58.08/9.44 tff(f2926,axiom,(
% 58.08/9.44 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X11 : X0] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,zero_zero(nat)),X11))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2925_take__bit__0)).
% 58.08/9.44 tff(f101624,plain,(
% 58.08/9.44 spl5880_3998),
% 58.08/9.44 inference(avatar_split_clause,[],[f70540,f101622])).
% 58.08/9.44 tff(f70540,plain,(
% 58.08/9.44 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),iG894($true))) | ~bit_semiring_bits(X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f67765,f67338])).
% 58.08/9.44 tff(f67765,plain,(
% 58.08/9.44 ( ! [X0 : $tType] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),zero_zero(nat))) | ~bit_semiring_bits(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f52128])).
% 58.08/9.44 tff(f52128,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | zero_zero(nat) != X1 | ~bit_semiring_bits(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39214])).
% 58.08/9.44 tff(f101619,plain,(
% 58.08/9.44 spl5880_3997),
% 58.08/9.44 inference(avatar_split_clause,[],[f70273,f101617])).
% 58.08/9.44 tff(f70273,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,iG1228($true),X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f70272,f69743])).
% 58.08/9.44 tff(f70272,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0)) = modulo_modulo(nat,aa(nat,nat,suc,iG894($true)),X0)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f50622,f67338])).
% 58.08/9.44 tff(f50622,plain,(
% 58.08/9.44 ( ! [X0 : nat] : (modulo_modulo(nat,aa(nat,nat,suc,zero_zero(nat)),X0) = aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f9964])).
% 58.08/9.44 tff(f9964,plain,(
% 58.08/9.44 ! [X0 : nat] : modulo_modulo(nat,aa(nat,nat,suc,zero_zero(nat)),X0) = aa($o,nat,zero_neq_one_of_bool(nat),bG323(X0))),
% 58.08/9.44 inference(fool_elimination,[],[f9962,f9963])).
% 58.08/9.44 tff(f9963,plain,(
% 58.08/9.44 ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != X0 <=> ($true = bG323(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG323])])).
% 58.08/9.44 tff(f9962,plain,(
% 58.08/9.44 ! [X0 : nat] : modulo_modulo(nat,aa(nat,nat,suc,zero_zero(nat)),X0) = aa($o,nat,zero_neq_one_of_bool(nat),aa(nat,nat,suc,zero_zero(nat)) != X0)),
% 58.08/9.44 inference(rectify,[],[f2253])).
% 58.08/9.44 tff(f2253,axiom,(
% 58.08/9.44 ! [X8 : nat] : modulo_modulo(nat,aa(nat,nat,suc,zero_zero(nat)),X8) = aa($o,nat,zero_neq_one_of_bool(nat),aa(nat,nat,suc,zero_zero(nat)) != X8)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2252_Suc__0__mod__eq)).
% 58.08/9.44 tff(f101615,plain,(
% 58.08/9.44 spl5880_3996),
% 58.08/9.44 inference(avatar_split_clause,[],[f69991,f101613])).
% 58.08/9.44 tff(f101613,plain,(
% 58.08/9.44 spl5880_3996 <=> ! [X0 : num] : size_num(aa(num,num,bit1,X0)) = size_num(aa(num,num,bit0,X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3996])])).
% 58.08/9.44 tff(f69991,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit1,X0)) = size_num(aa(num,num,bit0,X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f69990,f69988])).
% 58.08/9.44 tff(f69988,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit1,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),iG1228($true))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f69987,f69743])).
% 58.08/9.44 tff(f69987,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit1,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f50430,f67338])).
% 58.08/9.44 tff(f50430,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit1,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f22955])).
% 58.08/9.44 tff(f22955,plain,(
% 58.08/9.44 ! [X0 : num] : size_num(aa(num,num,bit1,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.44 inference(rectify,[],[f2916])).
% 58.08/9.44 tff(f2916,axiom,(
% 58.08/9.44 ! [X183 : num] : size_num(aa(num,num,bit1,X183)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X183)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2915_num_Osize__gen_I3_J)).
% 58.08/9.44 tff(f69990,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit0,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),iG1228($true))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f69989,f69743])).
% 58.08/9.44 tff(f69989,plain,(
% 58.08/9.44 ( ! [X0 : num] : (size_num(aa(num,num,bit0,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f50431,f67338])).
% 58.08/9.44 tff(f50431,plain,(
% 58.08/9.44 ( ! [X0 : num] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,zero_zero(nat))) = size_num(aa(num,num,bit0,X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f22956])).
% 58.08/9.44 tff(f22956,plain,(
% 58.08/9.44 ! [X0 : num] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X0)),aa(nat,nat,suc,zero_zero(nat))) = size_num(aa(num,num,bit0,X0))),
% 58.08/9.44 inference(rectify,[],[f2918])).
% 58.08/9.44 tff(f2918,axiom,(
% 58.08/9.44 ! [X38 : num] : size_num(aa(num,num,bit0,X38)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(X38)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2917_num_Osize__gen_I2_J)).
% 58.08/9.44 tff(f101610,plain,(
% 58.08/9.44 spl5880_3995),
% 58.08/9.44 inference(avatar_split_clause,[],[f69903,f101608])).
% 58.08/9.44 tff(f101604,plain,(
% 58.08/9.44 spl5880_3994),
% 58.08/9.44 inference(avatar_split_clause,[],[f69893,f101602])).
% 58.08/9.44 tff(f69893,plain,(
% 58.08/9.44 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,lG1553(X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f65781,f65286])).
% 58.08/9.44 tff(f65781,plain,(
% 58.08/9.44 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,lG1586(X0))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f50278,f46570])).
% 58.08/9.44 tff(f50278,plain,(
% 58.08/9.44 ( ! [X0 : num] : (aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,pred_numeral(X0))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f22808])).
% 58.08/9.44 tff(f22808,plain,(
% 58.08/9.44 ! [X0 : num] : aa(num,nat,numeral_numeral(nat),X0) = aa(nat,nat,suc,pred_numeral(X0))),
% 58.08/9.44 inference(rectify,[],[f2481])).
% 58.08/9.44 tff(f2481,axiom,(
% 58.08/9.44 ! [X24 : num] : aa(num,nat,numeral_numeral(nat),X24) = aa(nat,nat,suc,pred_numeral(X24))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2480_numeral__eq__Suc)).
% 58.08/9.44 tff(f101600,plain,(
% 58.08/9.44 spl5880_3993),
% 58.08/9.44 inference(avatar_split_clause,[],[f69886,f101598])).
% 58.08/9.44 tff(f101598,plain,(
% 58.08/9.44 spl5880_3993 <=> ! [X0 : int] : zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(zero_zero(int),X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3993])])).
% 58.08/9.44 tff(f69886,plain,(
% 58.08/9.44 ( ! [X0 : int] : (zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,iG637(zero_zero(int),X0))) )),
% 58.08/9.44 inference(forward_demodulation,[],[f65775,f65750])).
% 58.08/9.44 tff(f65775,plain,(
% 58.08/9.44 ( ! [X0 : int] : (aa(product_prod(int,int),rat,abs_Rat,iG637(one_one(int),zero_zero(int))) = aa(product_prod(int,int),rat,abs_Rat,iG637(zero_zero(int),X0))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f50254,f57183,f57183])).
% 58.08/9.44 tff(f50254,plain,(
% 58.08/9.44 ( ! [X0 : int] : (fract(zero_zero(int),one_one(int)) = fract(X0,zero_zero(int))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f22785])).
% 58.08/9.44 tff(f22785,plain,(
% 58.08/9.44 ! [X0 : int] : fract(zero_zero(int),one_one(int)) = fract(X0,zero_zero(int))),
% 58.08/9.44 inference(rectify,[],[f7302])).
% 58.08/9.44 tff(f7302,axiom,(
% 58.08/9.44 ! [X11 : int] : fract(X11,zero_zero(int)) = fract(zero_zero(int),one_one(int))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7301_eq__rat_I2_J)).
% 58.08/9.44 tff(f101596,plain,(
% 58.08/9.44 spl5880_3992),
% 58.08/9.44 inference(avatar_split_clause,[],[f69788,f101593])).
% 58.08/9.44 tff(f101593,plain,(
% 58.08/9.44 spl5880_3992 <=> im(imaginary_unit) = aa(real,real,tan(real),suminf(real,aTP_Lamp_cw(nat,real)))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3992])])).
% 58.08/9.44 tff(f69788,plain,(
% 58.08/9.44 im(imaginary_unit) = aa(real,real,tan(real),suminf(real,aTP_Lamp_cw(nat,real)))),
% 58.08/9.44 inference(forward_demodulation,[],[f69787,f50004])).
% 58.08/9.44 tff(f69787,plain,(
% 58.08/9.44 one_one(real) = aa(real,real,tan(real),suminf(real,aTP_Lamp_cw(nat,real)))),
% 58.08/9.44 inference(forward_demodulation,[],[f50103,f50096])).
% 58.08/9.44 tff(f50096,plain,(
% 58.08/9.44 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_cw(nat,real))),
% 58.08/9.44 inference(cnf_transformation,[],[f3371])).
% 58.08/9.44 tff(f3371,axiom,(
% 58.08/9.44 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_cw(nat,real))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3370_pi__series)).
% 58.08/9.44 tff(f50103,plain,(
% 58.08/9.44 one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 58.08/9.44 inference(cnf_transformation,[],[f3697])).
% 58.08/9.44 tff(f3697,axiom,(
% 58.08/9.44 one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3696_tan__45)).
% 58.08/9.44 tff(f101591,plain,(
% 58.08/9.44 spl5880_3991 | ~spl5880_1342 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86364,f86300,f85048,f101588])).
% 58.08/9.44 tff(f85048,plain,(
% 58.08/9.44 spl5880_1342 <=> iG850(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1342])])).
% 58.08/9.44 tff(f86364,plain,(
% 58.08/9.44 iG850(iG714($true),$true) | (~spl5880_1342 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85050,f86302])).
% 58.08/9.44 tff(f85050,plain,(
% 58.08/9.44 iG850(iG1228($true),$true) | ~spl5880_1342),
% 58.08/9.44 inference(avatar_component_clause,[],[f85048])).
% 58.08/9.44 tff(f101586,plain,(
% 58.08/9.44 ~spl5880_3990),
% 58.08/9.44 inference(avatar_split_clause,[],[f69783,f101583])).
% 58.08/9.44 tff(f101583,plain,(
% 58.08/9.44 spl5880_3990 <=> aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) = iG303(imaginary_unit)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3990])])).
% 58.08/9.44 tff(f69783,plain,(
% 58.08/9.44 aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != iG303(imaginary_unit)),
% 58.08/9.44 inference(forward_demodulation,[],[f50097,f65754])).
% 58.08/9.44 tff(f50097,plain,(
% 58.08/9.44 aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.44 inference(cnf_transformation,[],[f3437])).
% 58.08/9.44 tff(f3437,axiom,(
% 58.08/9.44 aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3436_pi__half__neq__two)).
% 58.08/9.44 tff(f101580,plain,(
% 58.08/9.44 spl5880_3989),
% 58.08/9.44 inference(avatar_split_clause,[],[f69753,f101577])).
% 58.08/9.44 tff(f101574,plain,(
% 58.08/9.44 spl5880_3988),
% 58.08/9.44 inference(avatar_split_clause,[],[f69664,f101572])).
% 58.08/9.44 tff(f69664,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG425(X0,X1,X2,X3)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f48943,f67338])).
% 58.08/9.44 tff(f48943,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG425(X0,X1,X2,X3) | member(nat,zero_zero(nat),X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28019])).
% 58.08/9.44 tff(f28019,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (zero_zero(X0) = iG425(X0,X1,X2,X3) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : (divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG425(X4,X5,X6,X7) | ~member(nat,zero_zero(nat),X5) | ~finite_finite(nat,X5))),
% 58.08/9.44 inference(flattening,[],[f28018])).
% 58.08/9.44 tff(f28018,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (zero_zero(X0) = iG425(X0,X1,X2,X3) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : (divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG425(X4,X5,X6,X7) | (~member(nat,zero_zero(nat),X5) | ~finite_finite(nat,X5)))),
% 58.08/9.44 inference(ennf_transformation,[],[f22477])).
% 58.08/9.44 tff(f22477,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X1) & finite_finite(nat,X1)) => zero_zero(X0) = iG425(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : ((member(nat,zero_zero(nat),X5) & finite_finite(nat,X5)) => divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG425(X4,X5,X6,X7))),
% 58.08/9.44 inference(rectify,[],[f11233])).
% 58.08/9.44 tff(f11233,plain,(
% 58.08/9.44 ! [X0 : $tType,X3 : set(nat),X2 : fun(nat,X0),X1 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X3) & finite_finite(nat,X3)) => zero_zero(X0) = iG425(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : set(nat),X2 : fun(nat,X0),X1 : fun(nat,X0)] : ((member(nat,zero_zero(nat),X3) & finite_finite(nat,X3)) => divide_divide(X0,aa(nat,X0,X1,zero_zero(nat)),aa(nat,X0,X2,zero_zero(nat))) = iG425(X0,X3,X2,X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG425])])).
% 58.08/9.44 tff(f101569,plain,(
% 58.08/9.44 spl5880_3987),
% 58.08/9.44 inference(avatar_split_clause,[],[f69643,f101567])).
% 58.08/9.44 tff(f69643,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,iG894($true),X6,X7)) )),
% 58.08/9.44 inference(forward_demodulation,[],[f67616,f67338])).
% 58.08/9.44 tff(f67616,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,zero_zero(nat),X6,X7)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48803])).
% 58.08/9.44 tff(f48803,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(X4,X4,uminus_uminus(X4),X7) = iG481(X4,X5,X6,X7) | zero_zero(nat) != X5) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27977])).
% 58.08/9.44 tff(f101565,plain,(
% 58.08/9.44 spl5880_3986),
% 58.08/9.44 inference(avatar_split_clause,[],[f69007,f101563])).
% 58.08/9.44 tff(f101563,plain,(
% 58.08/9.44 spl5880_3986 <=> ! [X0 : $tType,X4 : X0,X3 : nat,X2 : nat,X1 : fun(nat,fun(X0,X0))] : iG1578(X0,X2,X3,X4,X1) = iG1714(X0,X2,X3,X4,X1)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3986])])).
% 58.08/9.44 tff(f69007,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,fun(X0,X0)),X4 : X0] : (iG1578(X0,X2,X3,X4,X1) = iG1714(X0,X2,X3,X4,X1)) )),
% 58.08/9.44 inference(equality_resolution,[],[f66699])).
% 58.08/9.44 tff(f66699,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,fun(X0,X0)),X4 : X0,X5 : X0] : (iG1714(X0,X2,X3,X4,X1) = X5 | iG1578(X0,X2,X3,X4,X1) != X5) )),
% 58.08/9.44 inference(definition_unfolding,[],[f64308,f63656])).
% 58.08/9.44 tff(f63656,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,fun(X0,X0)),X4 : X0] : (set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) = iG1578(X0,X2,X3,X4,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f19481])).
% 58.08/9.44 tff(f19481,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : fun(nat,fun(X0,X0)),X2 : nat,X3 : nat,X4 : X0] : set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) = iG1578(X0,X2,X3,X4,X1)),
% 58.08/9.44 inference(fool_elimination,[],[f19479,f19480])).
% 58.08/9.44 tff(f19480,plain,(
% 58.08/9.44 ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG1578(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1578(X0,X2,X3,X4,X1) = X4)),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1578])])).
% 58.08/9.44 tff(f19479,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : fun(nat,fun(X0,X0)),X2 : nat,X3 : nat,X4 : X0] : set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2), X4,set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)))),
% 58.08/9.44 inference(rectify,[],[f2732])).
% 58.08/9.44 tff(f2732,axiom,(
% 58.08/9.44 ! [X0 : $tType,X30 : fun(nat,fun(X0,X0)),X11 : nat,X12 : nat,X242 : X0] : set_fo6178422350223883121st_nat(X0,X30,X11,X12,X242) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X12),X11), X242,set_fo6178422350223883121st_nat(X0,X30,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X11),one_one(nat)),X12,aa(X0,X0,aa(nat,fun(X0,X0),X30,X11),X242)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2731_fold__atLeastAtMost__nat_Osimps)).
% 58.08/9.44 tff(f64308,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,fun(X0,X0)),X4 : X0,X5 : X0] : (iG1714(X0,X2,X3,X4,X1) = X5 | set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) != X5) )),
% 58.08/9.44 inference(cnf_transformation,[],[f36662])).
% 58.08/9.44 tff(f36662,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : fun(nat,fun(X0,X0)),X2 : nat,X3 : nat,X4 : X0,X5 : X0] : (iG1714(X0,X2,X3,X4,X1) = X5 | set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) != X5)),
% 58.08/9.44 inference(ennf_transformation,[],[f20005])).
% 58.08/9.44 tff(f20005,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : fun(nat,fun(X0,X0)),X2 : nat,X3 : nat,X4 : X0,X5 : X0] : (set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) = X5 => iG1714(X0,X2,X3,X4,X1) = X5)),
% 58.08/9.44 inference(fool_elimination,[],[f20003,f20004])).
% 58.08/9.44 tff(f20004,plain,(
% 58.08/9.44 ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG1714(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1714(X0,X2,X3,X4,X1) = X4)),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1714])])).
% 58.08/9.44 tff(f20003,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : fun(nat,fun(X0,X0)),X2 : nat,X3 : nat,X4 : X0,X5 : X0] : (set_fo6178422350223883121st_nat(X0,X1,X2,X3,X4) = X5 => X5 = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2), X4,set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4))))),
% 58.08/9.44 inference(rectify,[],[f2731])).
% 58.08/9.44 tff(f2731,axiom,(
% 58.08/9.44 ! [X0 : $tType,X9 : fun(nat,fun(X0,X0)),X111 : nat,X112 : nat,X241 : X0,X18 : X0] : (set_fo6178422350223883121st_nat(X0,X9,X111,X112,X241) = X18 => X18 = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X112),X111), X241,set_fo6178422350223883121st_nat(X0,X9,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X111),one_one(nat)),X112,aa(X0,X0,aa(nat,fun(X0,X0),X9,X111),X241))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2730_fold__atLeastAtMost__nat_Oelims)).
% 58.08/9.44 tff(f101561,plain,(
% 58.08/9.44 spl5880_3985),
% 58.08/9.44 inference(avatar_split_clause,[],[f68747,f101559])).
% 58.08/9.44 tff(f101559,plain,(
% 58.08/9.44 spl5880_3985 <=> ! [X2 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X2,zero_zero(int))) | ~sP2400(zero_zero(int),X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3985])])).
% 58.08/9.44 tff(f68747,plain,(
% 58.08/9.44 ( ! [X2 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X2,zero_zero(int))) | ~sP2400(zero_zero(int),X1,X2)) )),
% 58.08/9.44 inference(equality_resolution,[],[f62316])).
% 58.08/9.44 tff(f62316,plain,(
% 58.08/9.44 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true = aa(int,$o,X2,zero_zero(int))) | zero_zero(int) != X0 | ~sP2400(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44601])).
% 58.08/9.44 tff(f101557,plain,(
% 58.08/9.44 spl5880_3984),
% 58.08/9.44 inference(avatar_split_clause,[],[f68597,f101555])).
% 58.08/9.44 tff(f101555,plain,(
% 58.08/9.44 spl5880_3984 <=> ! [X4 : option(product_prod(nat,nat)),X0 : nat,X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : (sP2331(X4,X3,X2,X1,X0) | ~sP2332(X0,X1,X2,X3,X4,$true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3984])])).
% 58.08/9.44 tff(f68597,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat))] : (sP2331(X4,X3,X2,X1,X0) | ~sP2332(X0,X1,X2,X3,X4,$true)) )),
% 58.08/9.44 inference(equality_resolution,[],[f61390])).
% 58.08/9.44 tff(f61390,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X5 : $o] : (sP2331(X4,X3,X2,X1,X0) | ($true != X5) | ~sP2332(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43897])).
% 58.08/9.44 tff(f101553,plain,(
% 58.08/9.44 spl5880_3983),
% 58.08/9.44 inference(avatar_split_clause,[],[f68590,f101551])).
% 58.08/9.44 tff(f101551,plain,(
% 58.08/9.44 spl5880_3983 <=> ! [X4 : option(product_prod(nat,nat)),X0 : nat,X3 : nat,X2 : vEBT_VEBT,X1 : list(vEBT_VEBT)] : (~sP2328(X4,X3,X2,X1,X0) | ~sP2329(X0,X1,X2,X3,X4,$true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3983])])).
% 58.08/9.44 tff(f68590,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat))] : (~sP2328(X4,X3,X2,X1,X0) | ~sP2329(X0,X1,X2,X3,X4,$true)) )),
% 58.08/9.44 inference(equality_resolution,[],[f61371])).
% 58.08/9.44 tff(f61371,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X5 : $o] : (~sP2328(X4,X3,X2,X1,X0) | ($true != X5) | ~sP2329(X0,X1,X2,X3,X4,X5)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43877])).
% 58.08/9.44 tff(f101549,plain,(
% 58.08/9.44 spl5880_3982),
% 58.08/9.44 inference(avatar_split_clause,[],[f67804,f101547])).
% 58.08/9.44 tff(f101547,plain,(
% 58.08/9.44 spl5880_3982 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (divide_divide(X0,zero_zero(X0),X2) = divide_divide(X0,zero_zero(X0),X3) | ~field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3982])])).
% 58.08/9.44 tff(f67804,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (divide_divide(X0,zero_zero(X0),X2) = divide_divide(X0,zero_zero(X0),X3) | ~field(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f52497])).
% 58.08/9.44 tff(f52497,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | zero_zero(X0) != X1 | ~field(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39308])).
% 58.08/9.44 tff(f101545,plain,(
% 58.08/9.44 spl5880_3981),
% 58.08/9.44 inference(avatar_split_clause,[],[f67802,f101543])).
% 58.08/9.44 tff(f101543,plain,(
% 58.08/9.44 spl5880_3981 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (divide_divide(X0,X1,zero_zero(X0)) = divide_divide(X0,X3,zero_zero(X0)) | ~field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3981])])).
% 58.08/9.44 tff(f67802,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (divide_divide(X0,X1,zero_zero(X0)) = divide_divide(X0,X3,zero_zero(X0)) | ~field(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f52494])).
% 58.08/9.44 tff(f52494,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | zero_zero(X0) != X2 | ~field(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39306])).
% 58.08/9.44 tff(f101541,plain,(
% 58.08/9.44 spl5880_3980 | ~spl5880_1341 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86363,f86300,f85043,f101538])).
% 58.08/9.44 tff(f85043,plain,(
% 58.08/9.44 spl5880_1341 <=> iG933(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1341])])).
% 58.08/9.44 tff(f86363,plain,(
% 58.08/9.44 iG933(iG714($true),$true) | (~spl5880_1341 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85045,f86302])).
% 58.08/9.44 tff(f85045,plain,(
% 58.08/9.44 iG933(iG1228($true),$true) | ~spl5880_1341),
% 58.08/9.44 inference(avatar_component_clause,[],[f85043])).
% 58.08/9.44 tff(f101536,plain,(
% 58.08/9.44 spl5880_3979),
% 58.08/9.44 inference(avatar_split_clause,[],[f67793,f101534])).
% 58.08/9.44 tff(f101534,plain,(
% 58.08/9.44 spl5880_3979 <=> ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3979])])).
% 58.08/9.44 tff(f67793,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~field(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f52463])).
% 58.08/9.44 tff(f52463,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2 | ~field(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39298])).
% 58.08/9.44 tff(f39298,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.44 inference(flattening,[],[f39297])).
% 58.08/9.44 tff(f39297,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | (X1 != X2 | zero_zero(X0) = X2)) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f29635])).
% 58.08/9.44 tff(f29635,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)) | ~field(X0))),
% 58.08/9.44 inference(ennf_transformation,[],[f23837])).
% 58.08/9.44 tff(f23837,plain,(
% 58.08/9.44 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)))),
% 58.08/9.44 inference(rectify,[],[f947])).
% 58.08/9.44 tff(f947,axiom,(
% 58.08/9.44 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X12 : X0] : (divide_divide(X0,X11,X12) = one_one(X0) <=> (X11 = X12 & zero_zero(X0) != X12)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_946_divide__eq__1__iff)).
% 58.08/9.44 tff(f101532,plain,(
% 58.08/9.44 spl5880_3978),
% 58.08/9.44 inference(avatar_split_clause,[],[f67788,f101530])).
% 58.08/9.44 tff(f101530,plain,(
% 58.08/9.44 spl5880_3978 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_un5681908812861735899ations(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3978])])).
% 58.08/9.44 tff(f67788,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f52414])).
% 58.08/9.44 tff(f52414,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | zero_zero(X0) != X2 | ~bit_un5681908812861735899ations(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f39285])).
% 58.08/9.44 tff(f101528,plain,(
% 58.08/9.44 spl5880_3977),
% 58.08/9.44 inference(avatar_split_clause,[],[f67749,f101526])).
% 58.08/9.44 tff(f101526,plain,(
% 58.08/9.44 spl5880_3977 <=> ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~linordered_field(X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3977])])).
% 58.08/9.44 tff(f67749,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~linordered_field(X0)) )),
% 58.08/9.44 inference(equality_resolution,[],[f51484])).
% 58.08/9.44 tff(f51484,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2 | ~linordered_field(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f38978])).
% 58.08/9.44 tff(f38978,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~linordered_field(X0))),
% 58.08/9.44 inference(flattening,[],[f38977])).
% 58.08/9.44 tff(f38977,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | (X1 != X2 | zero_zero(X0) = X2)) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~linordered_field(X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f28840])).
% 58.08/9.44 tff(f28840,plain,(
% 58.08/9.44 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)) | ~linordered_field(X0))),
% 58.08/9.44 inference(ennf_transformation,[],[f23396])).
% 58.08/9.44 tff(f23396,plain,(
% 58.08/9.44 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)))),
% 58.08/9.44 inference(rectify,[],[f942])).
% 58.08/9.44 tff(f942,axiom,(
% 58.08/9.44 ! [X0 : $tType] : (linordered_field(X0) => ! [X12 : X0,X11 : X0] : (one_one(X0) = divide_divide(X0,X12,X11) <=> (X11 = X12 & zero_zero(X0) != X11)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_941_eq__divide__eq__1)).
% 58.08/9.44 tff(f101524,plain,(
% 58.08/9.44 spl5880_3976),
% 58.08/9.44 inference(avatar_split_clause,[],[f67669,f101522])).
% 58.08/9.44 tff(f101522,plain,(
% 58.08/9.44 spl5880_3976 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,zero_zero(X4),X6,X7)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3976])])).
% 58.08/9.44 tff(f67669,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,zero_zero(X4),X6,X7)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48924])).
% 58.08/9.44 tff(f48924,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28009])).
% 58.08/9.44 tff(f28009,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG433(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 58.08/9.44 inference(ennf_transformation,[],[f22463])).
% 58.08/9.44 tff(f22463,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG433(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,X5,X6,X7))),
% 58.08/9.44 inference(flattening,[],[f22462])).
% 58.08/9.44 tff(f22462,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG433(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG433(X4,X5,X6,X7))),
% 58.08/9.44 inference(rectify,[],[f11281])).
% 58.08/9.44 tff(f11281,plain,(
% 58.08/9.44 ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG433(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => aa(X0,X0,uminus_uminus(X0),X3) = iG433(X0,X2,X3,X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG433])])).
% 58.08/9.44 tff(f101520,plain,(
% 58.08/9.44 spl5880_3975),
% 58.08/9.44 inference(avatar_split_clause,[],[f67667,f101518])).
% 58.08/9.44 tff(f101518,plain,(
% 58.08/9.44 spl5880_3975 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,zero_zero(X4),X6,X7)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3975])])).
% 58.08/9.44 tff(f67667,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,zero_zero(X4),X6,X7)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48920])).
% 58.08/9.44 tff(f48920,plain,(
% 58.08/9.44 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28007])).
% 58.08/9.44 tff(f28007,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG435(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 58.08/9.44 inference(ennf_transformation,[],[f22459])).
% 58.08/9.44 tff(f22459,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG435(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,X5,X6,X7))),
% 58.08/9.44 inference(flattening,[],[f22458])).
% 58.08/9.44 tff(f22458,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG435(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG435(X4,X5,X6,X7))),
% 58.08/9.44 inference(rectify,[],[f11287])).
% 58.08/9.44 tff(f11287,plain,(
% 58.08/9.44 ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG435(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => aa(X0,X0,uminus_uminus(X0),X3) = iG435(X0,X2,X3,X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG435])])).
% 58.08/9.44 tff(f101516,plain,(
% 58.08/9.44 spl5880_3974),
% 58.08/9.44 inference(avatar_split_clause,[],[f67420,f101514])).
% 58.08/9.44 tff(f101514,plain,(
% 58.08/9.44 spl5880_3974 <=> ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : aa(X9,X6,X11,X8) = iG770(X6,X9,X8,X8,X10,X11)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3974])])).
% 58.08/9.44 tff(f67420,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG770(X6,X9,X8,X8,X10,X11)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48217])).
% 58.08/9.44 tff(f48217,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG770(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27830])).
% 58.08/9.44 tff(f101512,plain,(
% 58.08/9.44 spl5880_3973),
% 58.08/9.44 inference(avatar_split_clause,[],[f67417,f101510])).
% 58.08/9.44 tff(f101510,plain,(
% 58.08/9.44 spl5880_3973 <=> ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9] : aa(X9,X6,X11,X8) = iG782(X6,X9,X8,X8,X10,X11)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3973])])).
% 58.08/9.44 tff(f67417,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG782(X6,X9,X8,X8,X10,X11)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48193])).
% 58.08/9.44 tff(f48193,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG782(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27818])).
% 58.08/9.44 tff(f27818,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (iG782(X0,X3,X1,X2,X4,X5) = X4 | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG782(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 58.08/9.44 inference(ennf_transformation,[],[f21975])).
% 58.08/9.44 tff(f21975,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (X1 != X2 => iG782(X0,X3,X1,X2,X4,X5) = X4) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG782(X6,X9,X7,X8,X10,X11))),
% 58.08/9.44 inference(flattening,[],[f21974])).
% 58.08/9.44 tff(f21974,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (~X1 = X2 => iG782(X0,X3,X1,X2,X4,X5) = X4) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG782(X6,X9,X7,X8,X10,X11))),
% 58.08/9.44 inference(rectify,[],[f15210])).
% 58.08/9.44 tff(f15210,plain,(
% 58.08/9.44 ! [X1 : $tType,X5 : X0,X2 : X0,X0 : $tType,X4 : X1,X3 : fun(X0,X1)] : (~X2 = X5 => iG782(X1,X0,X5,X2,X4,X3) = X4) & ! [X1 : $tType,X5 : X0,X2 : X0,X0 : $tType,X4 : X1,X3 : fun(X0,X1)] : (X2 = X5 => aa(X0,X1,X3,X5) = iG782(X1,X0,X5,X2,X4,X3))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG782])])).
% 58.08/9.44 tff(f101508,plain,(
% 58.08/9.44 spl5880_3972),
% 58.08/9.44 inference(avatar_split_clause,[],[f67416,f101506])).
% 58.08/9.44 tff(f101506,plain,(
% 58.08/9.44 spl5880_3972 <=> ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : aa(X9,X6,X11,X8) = iG783(X6,X9,X8,X8,X10,X11)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3972])])).
% 58.08/9.44 tff(f67416,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG783(X6,X9,X8,X8,X10,X11)) )),
% 58.08/9.44 inference(equality_resolution,[],[f48191])).
% 58.08/9.44 tff(f48191,plain,(
% 58.08/9.44 ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG783(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27817])).
% 58.08/9.44 tff(f101503,plain,(
% 58.08/9.44 spl5880_3971),
% 58.08/9.44 inference(avatar_split_clause,[],[f67217,f101501])).
% 58.08/9.44 tff(f67217,plain,(
% 58.08/9.44 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),zero_zero(nat))) )),
% 58.08/9.44 inference(equality_resolution,[],[f65484])).
% 58.08/9.44 tff(f65484,plain,(
% 58.08/9.44 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = vEBT_vebt_insert(vEBT_Leaf(bG1026(X5),bG1027(X4)),X3) | zero_zero(nat) != X3) )),
% 58.08/9.44 inference(definition_unfolding,[],[f47647,f60276])).
% 58.08/9.44 tff(f47647,plain,(
% 58.08/9.44 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1028(X4)) = iG1033(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27713])).
% 58.08/9.44 tff(f101499,plain,(
% 58.08/9.44 spl5880_3970),
% 58.08/9.44 inference(avatar_split_clause,[],[f67035,f101497])).
% 58.08/9.44 tff(f101497,plain,(
% 58.08/9.44 spl5880_3970 <=> ! [X9 : nat,X7 : vEBT_VEBT,X6 : nat,X8 : list(vEBT_VEBT)] : lG1329(X9,X8,X7,X6,X6) = lG1331(X9,X8,X7,X6,X6)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3970])])).
% 58.08/9.44 tff(f67035,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT] : (lG1329(X9,X8,X7,X6,X6) = lG1331(X9,X8,X7,X6,X6)) )),
% 58.08/9.44 inference(equality_resolution,[],[f65380])).
% 58.08/9.44 tff(f65380,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1329(X9,X8,X7,X6,X5) = lG1331(X9,X8,X7,X6,X5) | X5 != X6) )),
% 58.08/9.44 inference(definition_unfolding,[],[f47084,f47083])).
% 58.08/9.44 tff(f47083,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1332(X4,X3,X2,X1,X0) = lG1331(X0,X1,X2,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f21219])).
% 58.08/9.44 tff(f21219,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1332(X4,X3,X2,X1,X0) = lG1331(X0,X1,X2,X3,X4)),
% 58.08/9.44 inference(rectify,[],[f17692])).
% 58.08/9.44 tff(f17692,plain,(
% 58.08/9.44 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1332(X21,X1,X25,X24,X23) = lG1331(X23,X24,X25,X1,X21)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1331])])).
% 58.08/9.44 tff(f47084,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1329(X9,X8,X7,X6,X5) = iG1332(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27590])).
% 58.08/9.44 tff(f27590,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1332(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (lG1329(X9,X8,X7,X6,X5) = iG1332(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.44 inference(ennf_transformation,[],[f21221])).
% 58.08/9.44 tff(f21221,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1332(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1329(X9,X8,X7,X6,X5) = iG1332(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(flattening,[],[f21220])).
% 58.08/9.44 tff(f21220,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1332(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1329(X9,X8,X7,X6,X5) = iG1332(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(rectify,[],[f17691])).
% 58.08/9.44 tff(f17691,plain,(
% 58.08/9.44 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1332(X21,X1,X25,X24,X23) = X21) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => lG1329(X23,X24,X25,X1,X21) = iG1332(X21,X1,X25,X24,X23))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1332])])).
% 58.08/9.44 tff(f101495,plain,(
% 58.08/9.44 spl5880_3969 | ~spl5880_1340 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86362,f86300,f85038,f101492])).
% 58.08/9.44 tff(f85038,plain,(
% 58.08/9.44 spl5880_1340 <=> iG945(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1340])])).
% 58.08/9.44 tff(f86362,plain,(
% 58.08/9.44 iG945(iG714($true),$true) | (~spl5880_1340 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85040,f86302])).
% 58.08/9.44 tff(f85040,plain,(
% 58.08/9.44 iG945(iG1228($true),$true) | ~spl5880_1340),
% 58.08/9.44 inference(avatar_component_clause,[],[f85038])).
% 58.08/9.44 tff(f101490,plain,(
% 58.08/9.44 spl5880_3968),
% 58.08/9.44 inference(avatar_split_clause,[],[f67013,f101488])).
% 58.08/9.44 tff(f101488,plain,(
% 58.08/9.44 spl5880_3968 <=> ! [X9 : nat,X7 : vEBT_VEBT,X6 : nat,X8 : list(vEBT_VEBT)] : lG1361(X9,X8,X7,X6,X6) = lG1363(X9,X8,X7,X6,X6)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3968])])).
% 58.08/9.44 tff(f67013,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT] : (lG1361(X9,X8,X7,X6,X6) = lG1363(X9,X8,X7,X6,X6)) )),
% 58.08/9.44 inference(equality_resolution,[],[f65369])).
% 58.08/9.44 tff(f65369,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1361(X9,X8,X7,X6,X5) = lG1363(X9,X8,X7,X6,X5) | X5 != X6) )),
% 58.08/9.44 inference(definition_unfolding,[],[f47025,f47024])).
% 58.08/9.44 tff(f47024,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1364(X4,X3,X2,X1,X0) = lG1363(X0,X1,X2,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f21180])).
% 58.08/9.44 tff(f21180,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1364(X4,X3,X2,X1,X0) = lG1363(X0,X1,X2,X3,X4)),
% 58.08/9.44 inference(rectify,[],[f17726])).
% 58.08/9.44 tff(f17726,plain,(
% 58.08/9.44 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1364(X21,X1,X25,X24,X23) = lG1363(X23,X24,X25,X1,X21)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1363])])).
% 58.08/9.44 tff(f47025,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1361(X9,X8,X7,X6,X5) = iG1364(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27579])).
% 58.08/9.44 tff(f27579,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1364(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (lG1361(X9,X8,X7,X6,X5) = iG1364(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.44 inference(ennf_transformation,[],[f21182])).
% 58.08/9.44 tff(f21182,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1364(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1361(X9,X8,X7,X6,X5) = iG1364(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(flattening,[],[f21181])).
% 58.08/9.44 tff(f21181,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1364(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1361(X9,X8,X7,X6,X5) = iG1364(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(rectify,[],[f17725])).
% 58.08/9.44 tff(f17725,plain,(
% 58.08/9.44 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1364(X21,X1,X25,X24,X23) = X21) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => lG1361(X23,X24,X25,X1,X21) = iG1364(X21,X1,X25,X24,X23))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1364])])).
% 58.08/9.44 tff(f101483,plain,(
% 58.08/9.44 spl5880_3967 | ~spl5880_1444 | ~spl5880_3773 | ~spl5880_3966),
% 58.08/9.44 inference(avatar_split_clause,[],[f101479,f101475,f100455,f85787,f101481])).
% 58.08/9.44 tff(f101481,plain,(
% 58.08/9.44 spl5880_3967 <=> ! [X3 : $o] : iG1437($true,X3) = iG724($true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3967])])).
% 58.08/9.44 tff(f100455,plain,(
% 58.08/9.44 spl5880_3773 <=> iG724($true) = aa(nat,option(nat),some(nat),iG714($true))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3773])])).
% 58.08/9.44 tff(f101475,plain,(
% 58.08/9.44 spl5880_3966 <=> ! [X3 : $o] : aa(nat,option(nat),some(nat),one_one(nat)) = iG1437($true,X3)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3966])])).
% 58.08/9.44 tff(f101479,plain,(
% 58.08/9.44 ( ! [X3 : $o] : (iG1437($true,X3) = iG724($true)) ) | (~spl5880_1444 | ~spl5880_3773 | ~spl5880_3966)),
% 58.08/9.44 inference(forward_demodulation,[],[f101478,f100457])).
% 58.08/9.44 tff(f100457,plain,(
% 58.08/9.44 iG724($true) = aa(nat,option(nat),some(nat),iG714($true)) | ~spl5880_3773),
% 58.08/9.44 inference(avatar_component_clause,[],[f100455])).
% 58.08/9.44 tff(f101478,plain,(
% 58.08/9.44 ( ! [X3 : $o] : (iG1437($true,X3) = aa(nat,option(nat),some(nat),iG714($true))) ) | (~spl5880_1444 | ~spl5880_3966)),
% 58.08/9.44 inference(forward_demodulation,[],[f101476,f85789])).
% 58.08/9.44 tff(f101476,plain,(
% 58.08/9.44 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1437($true,X3)) ) | ~spl5880_3966),
% 58.08/9.44 inference(avatar_component_clause,[],[f101475])).
% 58.08/9.44 tff(f101477,plain,(
% 58.08/9.44 spl5880_3966),
% 58.08/9.44 inference(avatar_split_clause,[],[f66973,f101475])).
% 58.08/9.44 tff(f66973,plain,(
% 58.08/9.44 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1437($true,X3)) )),
% 58.08/9.44 inference(equality_resolution,[],[f46890])).
% 58.08/9.44 tff(f46890,plain,(
% 58.08/9.44 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1437(X2,X3) | ($true != X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27546])).
% 58.08/9.44 tff(f27546,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (iG1436(X1) = iG1437(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1437(X2,X3) | ($true != X2))),
% 58.08/9.44 inference(ennf_transformation,[],[f21085])).
% 58.08/9.44 tff(f21085,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (($true != X0) => iG1436(X1) = iG1437(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1437(X2,X3))),
% 58.08/9.44 inference(flattening,[],[f21084])).
% 58.08/9.44 tff(f21084,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG1436(X1) = iG1437(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1437(X2,X3))),
% 58.08/9.44 inference(rectify,[],[f17817])).
% 58.08/9.44 tff(f17817,plain,(
% 58.08/9.44 ! [X8 : $o,X7 : $o] : (~($true = X8) => iG1436(X7) = iG1437(X8,X7)) & ! [X8 : $o,X7 : $o] : (($true = X8) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1437(X8,X7))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1437])])).
% 58.08/9.44 tff(f101473,plain,(
% 58.08/9.44 spl5880_3965),
% 58.08/9.44 inference(avatar_split_clause,[],[f66857,f101471])).
% 58.08/9.44 tff(f101471,plain,(
% 58.08/9.44 spl5880_3965 <=> ! [X9 : nat,X7 : vEBT_VEBT,X6 : nat,X8 : list(vEBT_VEBT)] : lG1698(X9,X8,X7,X6,X6) = lG1700(X9,X8,X7,X6,X6)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3965])])).
% 58.08/9.44 tff(f66857,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT] : (lG1698(X9,X8,X7,X6,X6) = lG1700(X9,X8,X7,X6,X6)) )),
% 58.08/9.44 inference(equality_resolution,[],[f65151])).
% 58.08/9.44 tff(f65151,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1698(X9,X8,X7,X6,X5) = lG1700(X9,X8,X7,X6,X5) | X5 != X6) )),
% 58.08/9.44 inference(definition_unfolding,[],[f46361,f46360])).
% 58.08/9.44 tff(f46360,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1701(X4,X3,X2,X1,X0) = lG1700(X0,X1,X2,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f20682])).
% 58.08/9.44 tff(f20682,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1701(X4,X3,X2,X1,X0) = lG1700(X0,X1,X2,X3,X4)),
% 58.08/9.44 inference(rectify,[],[f19971])).
% 58.08/9.44 tff(f19971,plain,(
% 58.08/9.44 ! [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat,X5 : nat] : iG1701(X5,X0,X4,X3,X2) = lG1700(X2,X3,X4,X0,X5)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1700])])).
% 58.08/9.44 tff(f46361,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1698(X9,X8,X7,X6,X5) = iG1701(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27379])).
% 58.08/9.44 tff(f27379,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1701(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (lG1698(X9,X8,X7,X6,X5) = iG1701(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.44 inference(ennf_transformation,[],[f20684])).
% 58.08/9.44 tff(f20684,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1701(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1698(X9,X8,X7,X6,X5) = iG1701(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(flattening,[],[f20683])).
% 58.08/9.44 tff(f20683,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1701(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1698(X9,X8,X7,X6,X5) = iG1701(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(rectify,[],[f19970])).
% 58.08/9.44 tff(f19970,plain,(
% 58.08/9.44 ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (~X0 = X5 => iG1701(X5,X0,X4,X3,X2) = X0) & ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (X0 = X5 => lG1698(X2,X3,X4,X0,X5) = iG1701(X5,X0,X4,X3,X2))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1701])])).
% 58.08/9.44 tff(f101469,plain,(
% 58.08/9.44 spl5880_3964),
% 58.08/9.44 inference(avatar_split_clause,[],[f66849,f101467])).
% 58.08/9.44 tff(f101467,plain,(
% 58.08/9.44 spl5880_3964 <=> ! [X9 : nat,X7 : vEBT_VEBT,X6 : nat,X8 : list(vEBT_VEBT)] : lG1727(X9,X8,X7,X6,X6) = lG1729(X9,X8,X7,X6,X6)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3964])])).
% 58.08/9.44 tff(f66849,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT] : (lG1727(X9,X8,X7,X6,X6) = lG1729(X9,X8,X7,X6,X6)) )),
% 58.08/9.44 inference(equality_resolution,[],[f65125])).
% 58.08/9.44 tff(f65125,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1727(X9,X8,X7,X6,X5) = lG1729(X9,X8,X7,X6,X5) | X5 != X6) )),
% 58.08/9.44 inference(definition_unfolding,[],[f46314,f46313])).
% 58.08/9.44 tff(f46313,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1730(X4,X3,X2,X1,X0) = lG1729(X0,X1,X2,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f20639])).
% 58.08/9.44 tff(f20639,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1730(X4,X3,X2,X1,X0) = lG1729(X0,X1,X2,X3,X4)),
% 58.08/9.44 inference(rectify,[],[f20052])).
% 58.08/9.44 tff(f20052,plain,(
% 58.08/9.44 ! [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT,X0 : nat,X1 : nat] : iG1730(X1,X0,X5,X4,X3) = lG1729(X3,X4,X5,X0,X1)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1729])])).
% 58.08/9.44 tff(f46314,plain,(
% 58.08/9.44 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (lG1727(X9,X8,X7,X6,X5) = iG1730(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27361])).
% 58.08/9.44 tff(f27361,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1730(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (lG1727(X9,X8,X7,X6,X5) = iG1730(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.44 inference(ennf_transformation,[],[f20641])).
% 58.08/9.44 tff(f20641,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1730(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1727(X9,X8,X7,X6,X5) = iG1730(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(flattening,[],[f20640])).
% 58.08/9.44 tff(f20640,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1730(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => lG1727(X9,X8,X7,X6,X5) = iG1730(X5,X6,X7,X8,X9))),
% 58.08/9.44 inference(rectify,[],[f20051])).
% 58.08/9.44 tff(f20051,plain,(
% 58.08/9.44 ! [X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (~X0 = X1 => iG1730(X1,X0,X5,X4,X3) = X0) & ! [X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (X0 = X1 => lG1727(X3,X4,X5,X0,X1) = iG1730(X1,X0,X5,X4,X3))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1730])])).
% 58.08/9.44 tff(f101465,plain,(
% 58.08/9.44 spl5880_3963),
% 58.08/9.44 inference(avatar_split_clause,[],[f66804,f101463])).
% 58.08/9.44 tff(f101463,plain,(
% 58.08/9.44 spl5880_3963 <=> ! [X10 : nat,X11 : nat,X9 : list(vEBT_VEBT),X8 : vEBT_VEBT,X7 : nat] : iG1840(X8,X9,X10,X11) = iG1841(X7,X7,X8,X9,X10,X11)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3963])])).
% 58.08/9.44 tff(f66804,plain,(
% 58.08/9.44 ( ! [X10 : nat,X11 : nat,X8 : vEBT_VEBT,X9 : list(vEBT_VEBT),X7 : nat] : (iG1840(X8,X9,X10,X11) = iG1841(X7,X7,X8,X9,X10,X11)) )),
% 58.08/9.44 inference(equality_resolution,[],[f46108])).
% 58.08/9.44 tff(f46108,plain,(
% 58.08/9.44 ( ! [X10 : nat,X11 : nat,X8 : vEBT_VEBT,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1840(X8,X9,X10,X11) = iG1841(X6,X7,X8,X9,X10,X11) | X6 != X7) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27305])).
% 58.08/9.44 tff(f27305,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG1841(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (iG1840(X8,X9,X10,X11) = iG1841(X6,X7,X8,X9,X10,X11) | X6 != X7)),
% 58.08/9.44 inference(ennf_transformation,[],[f20484])).
% 58.08/9.44 tff(f20484,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (X0 != X1 => iG1841(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (X6 = X7 => iG1840(X8,X9,X10,X11) = iG1841(X6,X7,X8,X9,X10,X11))),
% 58.08/9.44 inference(flattening,[],[f20483])).
% 58.08/9.44 tff(f20483,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~X0 = X1 => iG1841(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : list(vEBT_VEBT),X10 : nat,X11 : nat] : (X6 = X7 => iG1840(X8,X9,X10,X11) = iG1841(X6,X7,X8,X9,X10,X11))),
% 58.08/9.44 inference(rectify,[],[f20421])).
% 58.08/9.44 tff(f20421,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X8 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~X1 = X2 => iG1841(X2,X1,X8,X10,X3,X0) = X2) & ! [X2 : nat,X1 : nat,X8 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (X1 = X2 => iG1840(X8,X10,X3,X0) = iG1841(X2,X1,X8,X10,X3,X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG1841])])).
% 58.08/9.44 tff(f101461,plain,(
% 58.08/9.44 spl5880_3962),
% 58.08/9.44 inference(avatar_split_clause,[],[f66224,f101459])).
% 58.08/9.44 tff(f101459,plain,(
% 58.08/9.44 spl5880_3962 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : none(nat) = lG1842(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3962])])).
% 58.08/9.44 tff(f66224,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (none(nat) = lG1842(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f60060,f46107])).
% 58.08/9.44 tff(f60060,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (none(nat) = vEBT_vebt_maxt(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26293])).
% 58.08/9.44 tff(f26293,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : none(nat) = vEBT_vebt_maxt(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f652])).
% 58.08/9.44 tff(f652,axiom,(
% 58.08/9.44 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT] : none(nat) = vEBT_vebt_maxt(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_651_vebt__maxt_Osimps_I2_J)).
% 58.08/9.44 tff(f101457,plain,(
% 58.08/9.44 spl5880_3961),
% 58.08/9.44 inference(avatar_split_clause,[],[f65691,f101455])).
% 58.08/9.44 tff(f101455,plain,(
% 58.08/9.44 spl5880_3961 <=> ! [X0 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = iG313(X0) | zero_zero(code_integer) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3961])])).
% 58.08/9.44 tff(f65691,plain,(
% 58.08/9.44 ( ! [X0 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = iG313(X0) | zero_zero(code_integer) = X0) )),
% 58.08/9.44 inference(definition_unfolding,[],[f49161,f50616])).
% 58.08/9.44 tff(f50616,plain,(
% 58.08/9.44 ( ! [X0 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = iG314(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f9943])).
% 58.08/9.44 tff(f9943,plain,(
% 58.08/9.44 ! [X0 : code_integer] : aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = iG314(X0)),
% 58.08/9.44 inference(fool_elimination,[],[f9940,f9942,f9941])).
% 58.08/9.44 tff(f9941,plain,(
% 58.08/9.44 ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => one_one(code_integer) = iG313(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG313(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG313])])).
% 58.08/9.44 tff(f9942,plain,(
% 58.08/9.44 ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => iG313(X0) = iG314(X0)) & ! [X0 : code_integer] : (zero_zero(code_integer) = X0 => zero_zero(code_integer) = iG314(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG314])])).
% 58.08/9.44 tff(f9940,plain,(
% 58.08/9.44 ! [X0 : code_integer] : aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = $ite(zero_zero(code_integer) = X0, zero_zero(code_integer),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)), aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)),one_one(code_integer)))),
% 58.08/9.44 inference(rectify,[],[f5338])).
% 58.08/9.44 tff(f5338,axiom,(
% 58.08/9.44 ! [X24 : code_integer] : aa(code_integer,code_integer,sgn_sgn(code_integer),X24) = $ite(zero_zero(code_integer) = X24, zero_zero(code_integer),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X24),zero_zero(code_integer)), aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)),one_one(code_integer)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5337_sgn__integer__code)).
% 58.08/9.44 tff(f49161,plain,(
% 58.08/9.44 ( ! [X0 : code_integer] : (iG313(X0) = iG314(X0) | zero_zero(code_integer) = X0) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28097])).
% 58.08/9.44 tff(f28097,plain,(
% 58.08/9.44 ! [X0 : code_integer] : (iG313(X0) = iG314(X0) | zero_zero(code_integer) = X0) & ! [X1 : code_integer] : (zero_zero(code_integer) = iG314(X1) | zero_zero(code_integer) != X1)),
% 58.08/9.44 inference(ennf_transformation,[],[f22650])).
% 58.08/9.44 tff(f22650,plain,(
% 58.08/9.44 ! [X0 : code_integer] : (zero_zero(code_integer) != X0 => iG313(X0) = iG314(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(code_integer) = iG314(X1))),
% 58.08/9.44 inference(flattening,[],[f22649])).
% 58.08/9.44 tff(f22649,plain,(
% 58.08/9.44 ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => iG313(X0) = iG314(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(code_integer) = iG314(X1))),
% 58.08/9.44 inference(rectify,[],[f9942])).
% 58.08/9.44 tff(f101453,plain,(
% 58.08/9.44 spl5880_3960),
% 58.08/9.44 inference(avatar_split_clause,[],[f65689,f101451])).
% 58.08/9.44 tff(f101451,plain,(
% 58.08/9.44 spl5880_3960 <=> ! [X0 : rat] : (aa(rat,rat,sgn_sgn(rat),X0) = iG315(X0) | zero_zero(rat) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3960])])).
% 58.08/9.44 tff(f65689,plain,(
% 58.08/9.44 ( ! [X0 : rat] : (aa(rat,rat,sgn_sgn(rat),X0) = iG315(X0) | zero_zero(rat) = X0) )),
% 58.08/9.44 inference(definition_unfolding,[],[f49157,f50617])).
% 58.08/9.44 tff(f50617,plain,(
% 58.08/9.44 ( ! [X0 : rat] : (aa(rat,rat,sgn_sgn(rat),X0) = iG316(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f9947])).
% 58.08/9.44 tff(f9947,plain,(
% 58.08/9.44 ! [X0 : rat] : aa(rat,rat,sgn_sgn(rat),X0) = iG316(X0)),
% 58.08/9.44 inference(fool_elimination,[],[f9944,f9946,f9945])).
% 58.08/9.44 tff(f9945,plain,(
% 58.08/9.44 ! [X0 : rat] : (~($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG315(X0)) & ! [X0 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => one_one(rat) = iG315(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG315])])).
% 58.08/9.44 tff(f9946,plain,(
% 58.08/9.44 ! [X0 : rat] : (~zero_zero(rat) = X0 => iG315(X0) = iG316(X0)) & ! [X0 : rat] : (zero_zero(rat) = X0 => zero_zero(rat) = iG316(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG316])])).
% 58.08/9.44 tff(f9944,plain,(
% 58.08/9.44 ! [X0 : rat] : aa(rat,rat,sgn_sgn(rat),X0) = $ite(zero_zero(rat) = X0, zero_zero(rat),$ite(aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0), one_one(rat),aa(rat,rat,uminus_uminus(rat),one_one(rat))))),
% 58.08/9.44 inference(rectify,[],[f5490])).
% 58.08/9.44 tff(f5490,axiom,(
% 58.08/9.44 ! [X11 : rat] : aa(rat,rat,sgn_sgn(rat),X11) = $ite(zero_zero(rat) = X11, zero_zero(rat),$ite(aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X11), one_one(rat),aa(rat,rat,uminus_uminus(rat),one_one(rat))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5489_sgn__rat__def)).
% 58.08/9.44 tff(f49157,plain,(
% 58.08/9.44 ( ! [X0 : rat] : (iG315(X0) = iG316(X0) | zero_zero(rat) = X0) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28095])).
% 58.08/9.44 tff(f28095,plain,(
% 58.08/9.44 ! [X0 : rat] : (iG315(X0) = iG316(X0) | zero_zero(rat) = X0) & ! [X1 : rat] : (zero_zero(rat) = iG316(X1) | zero_zero(rat) != X1)),
% 58.08/9.44 inference(ennf_transformation,[],[f22646])).
% 58.08/9.44 tff(f22646,plain,(
% 58.08/9.44 ! [X0 : rat] : (zero_zero(rat) != X0 => iG315(X0) = iG316(X0)) & ! [X1 : rat] : (zero_zero(rat) = X1 => zero_zero(rat) = iG316(X1))),
% 58.08/9.44 inference(flattening,[],[f22645])).
% 58.08/9.44 tff(f22645,plain,(
% 58.08/9.44 ! [X0 : rat] : (~zero_zero(rat) = X0 => iG315(X0) = iG316(X0)) & ! [X1 : rat] : (zero_zero(rat) = X1 => zero_zero(rat) = iG316(X1))),
% 58.08/9.44 inference(rectify,[],[f9946])).
% 58.08/9.44 tff(f101449,plain,(
% 58.08/9.44 spl5880_3959 | ~spl5880_1339 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86361,f86300,f85033,f101446])).
% 58.08/9.44 tff(f85033,plain,(
% 58.08/9.44 spl5880_1339 <=> iG955(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1339])])).
% 58.08/9.44 tff(f86361,plain,(
% 58.08/9.44 iG955(iG714($true),$true) | (~spl5880_1339 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85035,f86302])).
% 58.08/9.44 tff(f85035,plain,(
% 58.08/9.44 iG955(iG1228($true),$true) | ~spl5880_1339),
% 58.08/9.44 inference(avatar_component_clause,[],[f85033])).
% 58.08/9.44 tff(f101444,plain,(
% 58.08/9.44 spl5880_3958),
% 58.08/9.44 inference(avatar_split_clause,[],[f65687,f101442])).
% 58.08/9.44 tff(f101442,plain,(
% 58.08/9.44 spl5880_3958 <=> ! [X0 : int] : (aa(int,int,sgn_sgn(int),X0) = iG317(X0) | zero_zero(int) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3958])])).
% 58.08/9.44 tff(f65687,plain,(
% 58.08/9.44 ( ! [X0 : int] : (aa(int,int,sgn_sgn(int),X0) = iG317(X0) | zero_zero(int) = X0) )),
% 58.08/9.44 inference(definition_unfolding,[],[f49153,f50618])).
% 58.08/9.44 tff(f50618,plain,(
% 58.08/9.44 ( ! [X0 : int] : (aa(int,int,sgn_sgn(int),X0) = iG318(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f9951])).
% 58.08/9.44 tff(f9951,plain,(
% 58.08/9.44 ! [X0 : int] : aa(int,int,sgn_sgn(int),X0) = iG318(X0)),
% 58.08/9.44 inference(fool_elimination,[],[f9948,f9950,f9949])).
% 58.08/9.44 tff(f9949,plain,(
% 58.08/9.44 ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => aa(int,int,uminus_uminus(int),one_one(int)) = iG317(X0)) & ! [X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => one_one(int) = iG317(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG317])])).
% 58.08/9.44 tff(f9950,plain,(
% 58.08/9.44 ! [X0 : int] : (~zero_zero(int) = X0 => iG317(X0) = iG318(X0)) & ! [X0 : int] : (zero_zero(int) = X0 => zero_zero(int) = iG318(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG318])])).
% 58.08/9.44 tff(f9948,plain,(
% 58.08/9.44 ! [X0 : int] : aa(int,int,sgn_sgn(int),X0) = $ite(zero_zero(int) = X0, zero_zero(int),$ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0), one_one(int),aa(int,int,uminus_uminus(int),one_one(int))))),
% 58.08/9.44 inference(rectify,[],[f4681])).
% 58.08/9.44 tff(f4681,axiom,(
% 58.08/9.44 ! [X25 : int] : aa(int,int,sgn_sgn(int),X25) = $ite(zero_zero(int) = X25, zero_zero(int),$ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X25), one_one(int),aa(int,int,uminus_uminus(int),one_one(int))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4680_zsgn__def)).
% 58.08/9.44 tff(f49153,plain,(
% 58.08/9.44 ( ! [X0 : int] : (iG317(X0) = iG318(X0) | zero_zero(int) = X0) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28093])).
% 58.08/9.44 tff(f28093,plain,(
% 58.08/9.44 ! [X0 : int] : (iG317(X0) = iG318(X0) | zero_zero(int) = X0) & ! [X1 : int] : (zero_zero(int) = iG318(X1) | zero_zero(int) != X1)),
% 58.08/9.44 inference(ennf_transformation,[],[f22642])).
% 58.08/9.44 tff(f22642,plain,(
% 58.08/9.44 ! [X0 : int] : (zero_zero(int) != X0 => iG317(X0) = iG318(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG318(X1))),
% 58.08/9.44 inference(flattening,[],[f22641])).
% 58.08/9.44 tff(f22641,plain,(
% 58.08/9.44 ! [X0 : int] : (~zero_zero(int) = X0 => iG317(X0) = iG318(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG318(X1))),
% 58.08/9.44 inference(rectify,[],[f9950])).
% 58.08/9.44 tff(f101440,plain,(
% 58.08/9.44 spl5880_3957),
% 58.08/9.44 inference(avatar_split_clause,[],[f65685,f101438])).
% 58.08/9.44 tff(f101438,plain,(
% 58.08/9.44 spl5880_3957 <=> ! [X0 : real] : (aa(real,real,sgn_sgn(real),X0) = iG320(X0) | zero_zero(real) = X0)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3957])])).
% 58.08/9.44 tff(f65685,plain,(
% 58.08/9.44 ( ! [X0 : real] : (aa(real,real,sgn_sgn(real),X0) = iG320(X0) | zero_zero(real) = X0) )),
% 58.08/9.44 inference(definition_unfolding,[],[f49147,f50620])).
% 58.08/9.44 tff(f50620,plain,(
% 58.08/9.44 ( ! [X0 : real] : (aa(real,real,sgn_sgn(real),X0) = iG321(X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f9958])).
% 58.08/9.44 tff(f9958,plain,(
% 58.08/9.44 ! [X0 : real] : aa(real,real,sgn_sgn(real),X0) = iG321(X0)),
% 58.08/9.44 inference(fool_elimination,[],[f9955,f9957,f9956])).
% 58.08/9.44 tff(f9956,plain,(
% 58.08/9.44 ! [X0 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => aa(real,real,uminus_uminus(real),one_one(real)) = iG320(X0)) & ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => one_one(real) = iG320(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG320])])).
% 58.08/9.44 tff(f9957,plain,(
% 58.08/9.44 ! [X0 : real] : (~zero_zero(real) = X0 => iG320(X0) = iG321(X0)) & ! [X0 : real] : (zero_zero(real) = X0 => zero_zero(real) = iG321(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG321])])).
% 58.08/9.44 tff(f9955,plain,(
% 58.08/9.44 ! [X0 : real] : aa(real,real,sgn_sgn(real),X0) = $ite(zero_zero(real) = X0, zero_zero(real),$ite(aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0), one_one(real),aa(real,real,uminus_uminus(real),one_one(real))))),
% 58.08/9.44 inference(rectify,[],[f4786])).
% 58.08/9.44 tff(f4786,axiom,(
% 58.08/9.44 ! [X11 : real] : aa(real,real,sgn_sgn(real),X11) = $ite(zero_zero(real) = X11, zero_zero(real),$ite(aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X11), one_one(real),aa(real,real,uminus_uminus(real),one_one(real))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4785_sgn__real__def)).
% 58.08/9.44 tff(f49147,plain,(
% 58.08/9.44 ( ! [X0 : real] : (iG320(X0) = iG321(X0) | zero_zero(real) = X0) )),
% 58.08/9.44 inference(cnf_transformation,[],[f28091])).
% 58.08/9.44 tff(f28091,plain,(
% 58.08/9.44 ! [X0 : real] : (iG320(X0) = iG321(X0) | zero_zero(real) = X0) & ! [X1 : real] : (zero_zero(real) = iG321(X1) | zero_zero(real) != X1)),
% 58.08/9.44 inference(ennf_transformation,[],[f22638])).
% 58.08/9.44 tff(f22638,plain,(
% 58.08/9.44 ! [X0 : real] : (zero_zero(real) != X0 => iG320(X0) = iG321(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => zero_zero(real) = iG321(X1))),
% 58.08/9.44 inference(flattening,[],[f22637])).
% 58.08/9.44 tff(f22637,plain,(
% 58.08/9.44 ! [X0 : real] : (~zero_zero(real) = X0 => iG320(X0) = iG321(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => zero_zero(real) = iG321(X1))),
% 58.08/9.44 inference(rectify,[],[f9957])).
% 58.08/9.44 tff(f101436,plain,(
% 58.08/9.44 spl5880_3956),
% 58.08/9.44 inference(avatar_split_clause,[],[f65569,f101434])).
% 58.08/9.44 tff(f101434,plain,(
% 58.08/9.44 spl5880_3956 <=> ! [X0 : $o,X1 : $o] : (iG720(X1) = lG1842(vEBT_Leaf(bG718(X1),bG719(X0))) | ($true = X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3956])])).
% 58.08/9.44 tff(f65569,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (iG720(X1) = lG1842(vEBT_Leaf(bG718(X1),bG719(X0))) | ($true = X0)) )),
% 58.08/9.44 inference(definition_unfolding,[],[f48316,f65040])).
% 58.08/9.44 tff(f65040,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (iG721(X1,X0) = lG1842(vEBT_Leaf(bG718(X0),bG719(X1)))) )),
% 58.08/9.44 inference(definition_unfolding,[],[f57238,f46107])).
% 58.08/9.44 tff(f57238,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_maxt(vEBT_Leaf(bG718(X0),bG719(X1))) = iG721(X1,X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14804])).
% 58.08/9.44 tff(f14804,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_maxt(vEBT_Leaf(bG718(X0),bG719(X1))) = iG721(X1,X0)),
% 58.08/9.44 inference(fool_elimination,[],[f14799,f14803,f14802,f14801,f14800])).
% 58.08/9.44 tff(f14800,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG718(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG718])])).
% 58.08/9.44 tff(f14801,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG719(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG719])])).
% 58.08/9.44 tff(f14802,plain,(
% 58.08/9.44 ! [X0 : $o] : (~($true = X0) => none(nat) = iG720(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720(X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG720])])).
% 58.08/9.44 tff(f14803,plain,(
% 58.08/9.44 ! [X1 : $o,X0 : $o] : (~($true = X1) => iG720(X0) = iG721(X1,X0)) & ! [X1 : $o,X0 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG721(X1,X0))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG721])])).
% 58.08/9.44 tff(f14799,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_maxt(vEBT_Leaf(X0,X1)) = $ite(X1, aa(nat,option(nat),some(nat),one_one(nat)),$ite(X0, aa(nat,option(nat),some(nat),zero_zero(nat)),none(nat)))),
% 58.08/9.44 inference(rectify,[],[f1140])).
% 58.08/9.44 tff(f1140,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_vebt_maxt(vEBT_Leaf(X11,X12)) = $ite(X12, aa(nat,option(nat),some(nat),one_one(nat)),$ite(X11, aa(nat,option(nat),some(nat),zero_zero(nat)),none(nat)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1139_vebt__maxt_Osimps_I1_J)).
% 58.08/9.44 tff(f48316,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (iG720(X1) = iG721(X0,X1) | ($true = X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27841])).
% 58.08/9.44 tff(f27841,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (iG720(X1) = iG721(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG721(X2,X3) | ($true != X2))),
% 58.08/9.44 inference(ennf_transformation,[],[f22040])).
% 58.08/9.44 tff(f22040,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (($true != X0) => iG720(X1) = iG721(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG721(X2,X3))),
% 58.08/9.44 inference(flattening,[],[f22039])).
% 58.08/9.44 tff(f22039,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG720(X1) = iG721(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG721(X2,X3))),
% 58.08/9.44 inference(rectify,[],[f14803])).
% 58.08/9.44 tff(f101432,plain,(
% 58.08/9.44 spl5880_3955),
% 58.08/9.44 inference(avatar_split_clause,[],[f65567,f101430])).
% 58.08/9.44 tff(f101430,plain,(
% 58.08/9.44 spl5880_3955 <=> ! [X0 : $o,X1 : $o] : (vEBT_vebt_mint(vEBT_Leaf(bG722(X0),bG723(X1))) = iG724(X1) | ($true = X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3955])])).
% 58.08/9.44 tff(f65567,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_mint(vEBT_Leaf(bG722(X0),bG723(X1))) = iG724(X1) | ($true = X0)) )),
% 58.08/9.44 inference(definition_unfolding,[],[f48308,f57239])).
% 58.08/9.44 tff(f57239,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_mint(vEBT_Leaf(bG722(X0),bG723(X1))) = iG725(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f14810])).
% 58.08/9.44 tff(f14810,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_mint(vEBT_Leaf(bG722(X0),bG723(X1))) = iG725(X0,X1)),
% 58.08/9.44 inference(fool_elimination,[],[f14805,f14809,f14808,f14807,f14806])).
% 58.08/9.44 tff(f14806,plain,(
% 58.08/9.44 ! [X0 : $o] : (($true = X0) <=> ($true = bG722(X0)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG722])])).
% 58.08/9.44 tff(f14807,plain,(
% 58.08/9.44 ! [X1 : $o] : (($true = X1) <=> ($true = bG723(X1)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG723])])).
% 58.08/9.44 tff(f14808,plain,(
% 58.08/9.44 ! [X1 : $o] : (~($true = X1) => none(nat) = iG724(X1)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG724(X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG724])])).
% 58.08/9.44 tff(f14809,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG724(X1) = iG725(X0,X1)) & ! [X0 : $o,X1 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG725(X0,X1))),
% 58.08/9.44 introduced(fool_ite_definition,[new_symbols(definition,[iG725])])).
% 58.08/9.44 tff(f14805,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : vEBT_vebt_mint(vEBT_Leaf(X0,X1)) = $ite(X0, aa(nat,option(nat),some(nat),zero_zero(nat)),$ite(X1, aa(nat,option(nat),some(nat),one_one(nat)),none(nat)))),
% 58.08/9.44 inference(rectify,[],[f1139])).
% 58.08/9.44 tff(f1139,axiom,(
% 58.08/9.44 ! [X11 : $o,X12 : $o] : vEBT_vebt_mint(vEBT_Leaf(X11,X12)) = $ite(X11, aa(nat,option(nat),some(nat),zero_zero(nat)),$ite(X12, aa(nat,option(nat),some(nat),one_one(nat)),none(nat)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1138_vebt__mint_Osimps_I1_J)).
% 58.08/9.44 tff(f48308,plain,(
% 58.08/9.44 ( ! [X0 : $o,X1 : $o] : (iG724(X1) = iG725(X0,X1) | ($true = X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f27839])).
% 58.08/9.44 tff(f27839,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (iG724(X1) = iG725(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG725(X2,X3) | ($true != X2))),
% 58.08/9.44 inference(ennf_transformation,[],[f22035])).
% 58.08/9.44 tff(f22035,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (($true != X0) => iG724(X1) = iG725(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG725(X2,X3))),
% 58.08/9.44 inference(flattening,[],[f22034])).
% 58.08/9.44 tff(f22034,plain,(
% 58.08/9.44 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG724(X1) = iG725(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG725(X2,X3))),
% 58.08/9.44 inference(rectify,[],[f14809])).
% 58.08/9.44 tff(f101428,plain,(
% 58.08/9.44 spl5880_3954),
% 58.08/9.44 inference(avatar_split_clause,[],[f64673,f101426])).
% 58.08/9.44 tff(f101426,plain,(
% 58.08/9.44 spl5880_3954 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (member(X2,sK5802(X1,X2,X0,X3),X3) | ~sP2510(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3954])])).
% 58.08/9.44 tff(f64673,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,set(X1))] : (member(X2,sK5802(X1,X2,X0,X3),X3) | ~sP2510(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f46008])).
% 58.08/9.44 tff(f46008,plain,(
% 58.08/9.44 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5802(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5801(X1,X2,X0,X3)))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5801(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5802(X1,X2,X0,X3)))) & member(X2,sK5802(X1,X2,X0,X3),X3) & member(X2,sK5801(X1,X2,X0,X3),X3)) | ~sP2510(X1,X2,X0,X3))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5801,sK5802])],[f46006,f46007])).
% 58.08/9.44 tff(f46007,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X5)),aa(X2,set(X1),X0,X4))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X4)),aa(X2,set(X1),X0,X5))) & member(X2,X5,X3) & member(X2,X4,X3)) => (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5802(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5801(X1,X2,X0,X3)))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5801(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5802(X1,X2,X0,X3)))) & member(X2,sK5802(X1,X2,X0,X3),X3) & member(X2,sK5801(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f46006,plain,(
% 58.08/9.44 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X5)),aa(X2,set(X1),X0,X4))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X4)),aa(X2,set(X1),X0,X5))) & member(X2,X5,X3) & member(X2,X4,X3)) | ~sP2510(X1,X2,X0,X3))),
% 58.08/9.44 inference(rectify,[],[f46005])).
% 58.08/9.44 tff(f46005,plain,(
% 58.08/9.44 ! [X4 : fun(X2,set(X0)),X0 : $tType,X2 : $tType,X3 : set(X2)] : (? [X7 : X2,X8 : X2] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(X2,set(X0),X4,X8)),aa(X2,set(X0),X4,X7))) & ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(X2,set(X0),X4,X7)),aa(X2,set(X0),X4,X8))) & member(X2,X8,X3) & member(X2,X7,X3)) | ~sP2510(X0,X2,X4,X3))),
% 58.08/9.44 inference(nnf_transformation,[],[f37943])).
% 58.08/9.44 tff(f37943,plain,(
% 58.08/9.44 ! [X4 : fun(X2,set(X0)),X0 : $tType,X2 : $tType,X3 : set(X2)] : (? [X7 : X2,X8 : X2] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(X2,set(X0),X4,X8)),aa(X2,set(X0),X4,X7))) & ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(X2,set(X0),X4,X7)),aa(X2,set(X0),X4,X8))) & member(X2,X8,X3) & member(X2,X7,X3)) | ~sP2510(X0,X2,X4,X3))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2510])])).
% 58.08/9.44 tff(f101424,plain,(
% 58.08/9.44 spl5880_3953),
% 58.08/9.44 inference(avatar_split_clause,[],[f64672,f101422])).
% 58.08/9.44 tff(f101422,plain,(
% 58.08/9.44 spl5880_3953 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (member(X2,sK5801(X1,X2,X0,X3),X3) | ~sP2510(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3953])])).
% 58.08/9.44 tff(f64672,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,set(X1))] : (member(X2,sK5801(X1,X2,X0,X3),X3) | ~sP2510(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f46008])).
% 58.08/9.44 tff(f101420,plain,(
% 58.08/9.44 spl5880_3952),
% 58.08/9.44 inference(avatar_split_clause,[],[f64391,f101418])).
% 58.08/9.44 tff(f101418,plain,(
% 58.08/9.44 spl5880_3952 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (member(X2,sK5733(X1,X2,X0,X3),X3) | ~sP2486(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3952])])).
% 58.08/9.44 tff(f64391,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,set(X1))] : (member(X2,sK5733(X1,X2,X0,X3),X3) | ~sP2486(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45828])).
% 58.08/9.44 tff(f45828,plain,(
% 58.08/9.44 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5733(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5732(X1,X2,X0,X3)))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5732(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5733(X1,X2,X0,X3)))) & member(X2,sK5733(X1,X2,X0,X3),X3) & member(X2,sK5732(X1,X2,X0,X3),X3)) | ~sP2486(X1,X2,X0,X3))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5732,sK5733])],[f45826,f45827])).
% 58.08/9.44 tff(f45827,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X5)),aa(X2,set(X1),X0,X4))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X4)),aa(X2,set(X1),X0,X5))) & member(X2,X5,X3) & member(X2,X4,X3)) => (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5733(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5732(X1,X2,X0,X3)))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,sK5732(X1,X2,X0,X3))),aa(X2,set(X1),X0,sK5733(X1,X2,X0,X3)))) & member(X2,sK5733(X1,X2,X0,X3),X3) & member(X2,sK5732(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45826,plain,(
% 58.08/9.44 ! [X0 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X5)),aa(X2,set(X1),X0,X4))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X0,X4)),aa(X2,set(X1),X0,X5))) & member(X2,X5,X3) & member(X2,X4,X3)) | ~sP2486(X1,X2,X0,X3))),
% 58.08/9.44 inference(rectify,[],[f45825])).
% 58.08/9.44 tff(f45825,plain,(
% 58.08/9.44 ! [X4 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X6 : X2,X7 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X4,X7)),aa(X2,set(X1),X4,X6))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X4,X6)),aa(X2,set(X1),X4,X7))) & member(X2,X7,X3) & member(X2,X6,X3)) | ~sP2486(X1,X2,X4,X3))),
% 58.08/9.44 inference(nnf_transformation,[],[f37904])).
% 58.08/9.44 tff(f37904,plain,(
% 58.08/9.44 ! [X4 : fun(X2,set(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X6 : X2,X7 : X2] : (($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X4,X7)),aa(X2,set(X1),X4,X6))) & ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),aa(X2,set(X1),X4,X6)),aa(X2,set(X1),X4,X7))) & member(X2,X7,X3) & member(X2,X6,X3)) | ~sP2486(X1,X2,X4,X3))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2486])])).
% 58.08/9.44 tff(f101416,plain,(
% 58.08/9.44 spl5880_3951),
% 58.08/9.44 inference(avatar_split_clause,[],[f64390,f101414])).
% 58.08/9.44 tff(f101414,plain,(
% 58.08/9.44 spl5880_3951 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,set(X1)),X3 : set(X2)] : (member(X2,sK5732(X1,X2,X0,X3),X3) | ~sP2486(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3951])])).
% 58.08/9.44 tff(f64390,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,set(X1))] : (member(X2,sK5732(X1,X2,X0,X3),X3) | ~sP2486(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45828])).
% 58.08/9.44 tff(f101412,plain,(
% 58.08/9.44 spl5880_3950),
% 58.08/9.44 inference(avatar_split_clause,[],[f64063,f101410])).
% 58.08/9.44 tff(f101410,plain,(
% 58.08/9.44 spl5880_3950 <=> ! [X2 : $tType,X4 : list(X2),X0 : list(X2),X3 : X2,X1 : fun(X2,$o)] : (($true = aa(X2,$o,X1,X3)) | ~sP2479(X2,X0,X1,X3,X4))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3950])])).
% 58.08/9.44 tff(f64063,plain,(
% 58.08/9.44 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,$o),X4 : list(X2)] : (($true = aa(X2,$o,X1,X3)) | ~sP2479(X2,X0,X1,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45634])).
% 58.08/9.44 tff(f45634,plain,(
% 58.08/9.44 ! [X0 : list(X2),X1 : fun(X2,$o),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP2479(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ($true != aa(X2,$o,X1,X3)) | (($true = aa(X2,$o,X1,sK5656(X2,X1,X5))) & member(X2,sK5656(X2,X1,X5),aa(list(X2),set(X2),set2(X2),X5))) | append(X2,X5,aa(list(X2),list(X2),cons(X2,X3),X6)) != X4)) & ((filter2(X2,X1,sK5658(X2,X0,X1,X3,X4)) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),sK5657(X2,X0,X1,X3,X4)))) & append(X2,sK5657(X2,X0,X1,X3,X4),aa(list(X2),list(X2),cons(X2,X3),sK5658(X2,X0,X1,X3,X4))) = X4) | ~sP2479(X2,X0,X1,X3,X4)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5656,sK5657,sK5658])],[f45631,f45633,f45632])).
% 58.08/9.44 tff(f45632,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : fun(X2,$o),X5 : list(X2)] : (? [X7 : X2] : (($true = aa(X2,$o,X1,X7)) & member(X2,X7,aa(list(X2),set(X2),set2(X2),X5))) => (($true = aa(X2,$o,X1,sK5656(X2,X1,X5))) & member(X2,sK5656(X2,X1,X5),aa(list(X2),set(X2),set2(X2),X5))))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45633,plain,(
% 58.08/9.44 ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,$o),X3 : X2,X4 : list(X2)] : (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),X8))) & append(X2,X8,aa(list(X2),list(X2),cons(X2,X3),X9)) = X4) => (filter2(X2,X1,sK5658(X2,X0,X1,X3,X4)) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),sK5657(X2,X0,X1,X3,X4)))) & append(X2,sK5657(X2,X0,X1,X3,X4),aa(list(X2),list(X2),cons(X2,X3),sK5658(X2,X0,X1,X3,X4))) = X4))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45631,plain,(
% 58.08/9.44 ! [X0 : list(X2),X1 : fun(X2,$o),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP2479(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ($true != aa(X2,$o,X1,X3)) | ? [X7 : X2] : (($true = aa(X2,$o,X1,X7)) & member(X2,X7,aa(list(X2),set(X2),set2(X2),X5))) | append(X2,X5,aa(list(X2),list(X2),cons(X2,X3),X6)) != X4)) & (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),X8))) & append(X2,X8,aa(list(X2),list(X2),cons(X2,X3),X9)) = X4) | ~sP2479(X2,X0,X1,X3,X4)))),
% 58.08/9.44 inference(rectify,[],[f45630])).
% 58.08/9.44 tff(f45630,plain,(
% 58.08/9.44 ! [X4 : list(X0),X1 : fun(X0,$o),X0 : $tType,X3 : X0,X2 : list(X0)] : ((sP2479(X0,X4,X1,X3,X2) | ! [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) != X4 | ($true != aa(X0,$o,X1,X3)) | ? [X7 : X0] : (($true = aa(X0,$o,X1,X7)) & member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) | append(X0,X5,aa(list(X0),list(X0),cons(X0,X3),X6)) != X2)) & (? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) = X4 & ($true = aa(X0,$o,X1,X3)) & ! [X7 : X0] : (($true != aa(X0,$o,X1,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) & append(X0,X5,aa(list(X0),list(X0),cons(X0,X3),X6)) = X2) | ~sP2479(X0,X4,X1,X3,X2)))),
% 58.08/9.44 inference(nnf_transformation,[],[f37890])).
% 58.08/9.44 tff(f37890,plain,(
% 58.08/9.44 ! [X4 : list(X0),X1 : fun(X0,$o),X0 : $tType,X3 : X0,X2 : list(X0)] : (sP2479(X0,X4,X1,X3,X2) <=> ? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) = X4 & ($true = aa(X0,$o,X1,X3)) & ! [X7 : X0] : (($true != aa(X0,$o,X1,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) & append(X0,X5,aa(list(X0),list(X0),cons(X0,X3),X6)) = X2))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2479])])).
% 58.08/9.44 tff(f101408,plain,(
% 58.08/9.44 spl5880_3949),
% 58.08/9.44 inference(avatar_split_clause,[],[f64055,f101406])).
% 58.08/9.44 tff(f101406,plain,(
% 58.08/9.44 spl5880_3949 <=> ! [X2 : $tType,X4 : list(X2),X0 : list(X2),X3 : X2,X1 : fun(X2,$o)] : (($true = aa(X2,$o,X1,X3)) | ~sP2478(X2,X0,X1,X3,X4))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3949])])).
% 58.08/9.44 tff(f64055,plain,(
% 58.08/9.44 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,$o),X4 : list(X2)] : (($true = aa(X2,$o,X1,X3)) | ~sP2478(X2,X0,X1,X3,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45628])).
% 58.08/9.44 tff(f45628,plain,(
% 58.08/9.44 ! [X0 : list(X2),X1 : fun(X2,$o),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP2478(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ($true != aa(X2,$o,X1,X3)) | (($true = aa(X2,$o,X1,sK5653(X2,X1,X5))) & member(X2,sK5653(X2,X1,X5),aa(list(X2),set(X2),set2(X2),X5))) | append(X2,X5,aa(list(X2),list(X2),cons(X2,X3),X6)) != X4)) & ((filter2(X2,X1,sK5655(X2,X0,X1,X3,X4)) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),sK5654(X2,X0,X1,X3,X4)))) & append(X2,sK5654(X2,X0,X1,X3,X4),aa(list(X2),list(X2),cons(X2,X3),sK5655(X2,X0,X1,X3,X4))) = X4) | ~sP2478(X2,X0,X1,X3,X4)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5653,sK5654,sK5655])],[f45625,f45627,f45626])).
% 58.08/9.44 tff(f45626,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : fun(X2,$o),X5 : list(X2)] : (? [X7 : X2] : (($true = aa(X2,$o,X1,X7)) & member(X2,X7,aa(list(X2),set(X2),set2(X2),X5))) => (($true = aa(X2,$o,X1,sK5653(X2,X1,X5))) & member(X2,sK5653(X2,X1,X5),aa(list(X2),set(X2),set2(X2),X5))))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45627,plain,(
% 58.08/9.44 ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,$o),X3 : X2,X4 : list(X2)] : (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),X8))) & append(X2,X8,aa(list(X2),list(X2),cons(X2,X3),X9)) = X4) => (filter2(X2,X1,sK5655(X2,X0,X1,X3,X4)) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),sK5654(X2,X0,X1,X3,X4)))) & append(X2,sK5654(X2,X0,X1,X3,X4),aa(list(X2),list(X2),cons(X2,X3),sK5655(X2,X0,X1,X3,X4))) = X4))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45625,plain,(
% 58.08/9.44 ! [X0 : list(X2),X1 : fun(X2,$o),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP2478(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ($true != aa(X2,$o,X1,X3)) | ? [X7 : X2] : (($true = aa(X2,$o,X1,X7)) & member(X2,X7,aa(list(X2),set(X2),set2(X2),X5))) | append(X2,X5,aa(list(X2),list(X2),cons(X2,X3),X6)) != X4)) & (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & ($true = aa(X2,$o,X1,X3)) & ! [X10 : X2] : (($true != aa(X2,$o,X1,X10)) | ~member(X2,X10,aa(list(X2),set(X2),set2(X2),X8))) & append(X2,X8,aa(list(X2),list(X2),cons(X2,X3),X9)) = X4) | ~sP2478(X2,X0,X1,X3,X4)))),
% 58.08/9.44 inference(rectify,[],[f45624])).
% 58.08/9.44 tff(f45624,plain,(
% 58.08/9.44 ! [X2 : list(X0),X3 : fun(X0,$o),X0 : $tType,X1 : X0,X4 : list(X0)] : ((sP2478(X0,X2,X3,X1,X4) | ! [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) != X2 | ($true != aa(X0,$o,X3,X1)) | ? [X7 : X0] : (($true = aa(X0,$o,X3,X7)) & member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) | append(X0,X5,aa(list(X0),list(X0),cons(X0,X1),X6)) != X4)) & (? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) = X2 & ($true = aa(X0,$o,X3,X1)) & ! [X7 : X0] : (($true != aa(X0,$o,X3,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) & append(X0,X5,aa(list(X0),list(X0),cons(X0,X1),X6)) = X4) | ~sP2478(X0,X2,X3,X1,X4)))),
% 58.08/9.44 inference(nnf_transformation,[],[f37888])).
% 58.08/9.44 tff(f37888,plain,(
% 58.08/9.44 ! [X2 : list(X0),X3 : fun(X0,$o),X0 : $tType,X1 : X0,X4 : list(X0)] : (sP2478(X0,X2,X3,X1,X4) <=> ? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) = X2 & ($true = aa(X0,$o,X3,X1)) & ! [X7 : X0] : (($true != aa(X0,$o,X3,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X5))) & append(X0,X5,aa(list(X0),list(X0),cons(X0,X1),X6)) = X4))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2478])])).
% 58.08/9.44 tff(f101404,plain,(
% 58.08/9.44 spl5880_3948 | ~spl5880_1338 | ~spl5880_1536),
% 58.08/9.44 inference(avatar_split_clause,[],[f86360,f86300,f85028,f101401])).
% 58.08/9.44 tff(f85028,plain,(
% 58.08/9.44 spl5880_1338 <=> iG967(iG1228($true),$true)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1338])])).
% 58.08/9.44 tff(f86360,plain,(
% 58.08/9.44 iG967(iG714($true),$true) | (~spl5880_1338 | ~spl5880_1536)),
% 58.08/9.44 inference(superposition,[],[f85030,f86302])).
% 58.08/9.44 tff(f85030,plain,(
% 58.08/9.44 iG967(iG1228($true),$true) | ~spl5880_1338),
% 58.08/9.44 inference(avatar_component_clause,[],[f85028])).
% 58.08/9.44 tff(f101399,plain,(
% 58.08/9.44 spl5880_3947),
% 58.08/9.44 inference(avatar_split_clause,[],[f64038,f101397])).
% 58.08/9.44 tff(f101397,plain,(
% 58.08/9.44 spl5880_3947 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP2477(X0,X1,X3,X2,X4))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3947])])).
% 58.08/9.44 tff(f64038,plain,(
% 58.08/9.44 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP2477(X0,X1,X3,X2,X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45615])).
% 58.08/9.44 tff(f45615,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : ((vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP2477(X0,X1,X3,X2,X4)) & (sP2477(X0,X1,X3,X2,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4)))),
% 58.08/9.44 inference(nnf_transformation,[],[f37887])).
% 58.08/9.44 tff(f37887,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> sP2477(X0,X1,X3,X2,X4))),
% 58.08/9.44 inference(definition_folding,[],[f36610,f37886])).
% 58.08/9.44 tff(f37886,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X4 : nat] : (sP2477(X0,X1,X3,X2,X4) <=> (($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1595(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X1 = X4))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2477])])).
% 58.08/9.44 tff(f36610,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> (($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1595(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X1 = X4))),
% 58.08/9.44 inference(ennf_transformation,[],[f27141])).
% 58.08/9.44 tff(f27141,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> (($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => vEBT_VEBT_valid(X5,lG1595(X1))) & X1 = X4))),
% 58.08/9.44 inference(flattening,[],[f27140])).
% 58.08/9.44 tff(f27140,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> ((($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => vEBT_VEBT_valid(X5,lG1595(X1)))) & X1 = X4))),
% 58.08/9.44 inference(rectify,[],[f19738])).
% 58.08/9.44 tff(f19738,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> ((($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => vEBT_VEBT_valid(X8,lG1595(X1)))) & X1 = X4))),
% 58.08/9.44 inference(fool_elimination,[],[f19734,f19737,f19736,f19735])).
% 58.08/9.44 tff(f19735,plain,(
% 58.08/9.44 ! [X1 : nat] : divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG1595(X1)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1595])])).
% 58.08/9.44 tff(f19736,plain,(
% 58.08/9.44 ! [X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),lG1595(X1)) = lG1596(X1)),
% 58.08/9.44 introduced(fool_let_definition,[new_symbols(definition,[lG1596])])).
% 58.08/9.44 tff(f19737,plain,(
% 58.08/9.44 ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : ((! [X5 : vEBT_VEBT] : (member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => ~? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6))) & ~? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X7))) <=> ($true = bG1597(X2,X3)))),
% 58.08/9.44 introduced(fool_formula_definition,[new_symbols(definition,[bG1597])])).
% 58.08/9.44 tff(f19734,plain,(
% 58.08/9.44 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> ($let(n252: nat, n252 := divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2253: nat, m2253 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),n252), case_option($o,product_prod(nat,nat),! [X5 : vEBT_VEBT] : (member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => ~? [X6 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & ~? [X7 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X7),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),n252),m2253)),X0) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2253) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_VEBT_valid(X3,m2253) & ! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => vEBT_VEBT_valid(X8,n252)))) & X1 = X4))),
% 58.08/9.44 inference(rectify,[],[f7413])).
% 58.08/9.44 tff(f7413,axiom,(
% 58.08/9.44 ! [X408 : option(product_prod(nat,nat)),X59 : nat,X57 : list(vEBT_VEBT),X60 : vEBT_VEBT,X409 : nat] : (vEBT_VEBT_valid(vEBT_Node(X408,X59,X57,X60),X409) <=> ($let(n252: nat, n252 := divide_divide(nat,X59,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))), $let(m2253: nat, m2253 := aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X59),n252), case_option($o,product_prod(nat,nat),! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X57)) => ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X341)) & ~? [X341 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X60),X341),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X59),X57),X60),n252),m2253)),X408) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X57) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m2253) & vEBT_VEBT_valid(X60,m2253) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X57)) => vEBT_VEBT_valid(X65,n252)))) & X59 = X409))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7412_VEBT__internal_Ovalid_H_Osimps_I2_J)).
% 58.08/9.44 tff(f101395,plain,(
% 58.08/9.44 spl5880_3946),
% 58.08/9.44 inference(avatar_split_clause,[],[f64037,f101393])).
% 58.08/9.44 tff(f101393,plain,(
% 58.08/9.44 spl5880_3946 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (sP2477(X0,X1,X3,X2,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3946])])).
% 58.08/9.44 tff(f64037,plain,(
% 58.08/9.44 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (sP2477(X0,X1,X3,X2,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45615])).
% 58.08/9.44 tff(f101391,plain,(
% 58.08/9.44 spl5880_3945),
% 58.08/9.44 inference(avatar_split_clause,[],[f63715,f101389])).
% 58.08/9.44 tff(f101389,plain,(
% 58.08/9.44 spl5880_3945 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (member(X2,sK5543(X1,X2,X0,X3),X3) | ~sP2460(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3945])])).
% 58.08/9.44 tff(f63715,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,filter(X1))] : (member(X2,sK5543(X1,X2,X0,X3),X3) | ~sP2460(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45407])).
% 58.08/9.44 tff(f45407,plain,(
% 58.08/9.44 ! [X0 : fun(X2,filter(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (((! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5542(X1,X2,X0,X3))),aa(X2,filter(X1),X0,sK5543(X1,X2,X0,X3))))) | ~member(X2,X6,X3)) & member(X2,sK5543(X1,X2,X0,X3),X3)) & member(X2,sK5542(X1,X2,X0,X3),X3)) | ~sP2460(X1,X2,X0,X3))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5542,sK5543])],[f45404,f45406,f45405])).
% 58.08/9.44 tff(f45405,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (? [X4 : X2] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,X4)),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,X4,X3)) => (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5542(X1,X2,X0,X3))),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,sK5542(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45406,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5542(X1,X2,X0,X3))),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) => (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5542(X1,X2,X0,X3))),aa(X2,filter(X1),X0,sK5543(X1,X2,X0,X3))))) | ~member(X2,X6,X3)) & member(X2,sK5543(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f45404,plain,(
% 58.08/9.44 ! [X0 : fun(X2,filter(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,X4)),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,X4,X3)) | ~sP2460(X1,X2,X0,X3))),
% 58.08/9.44 inference(rectify,[],[f45403])).
% 58.08/9.44 tff(f45403,plain,(
% 58.08/9.44 ! [X3 : fun(X1,filter(X0)),X0 : $tType,X1 : $tType,X2 : set(X1)] : (? [X5 : X1] : (? [X6 : X1] : (! [X7 : X1] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),aa(X1,filter(X0),X3,X7)),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),aa(X1,filter(X0),X3,X5)),aa(X1,filter(X0),X3,X6)))) | ~member(X1,X7,X2)) & member(X1,X6,X2)) & member(X1,X5,X2)) | ~sP2460(X0,X1,X3,X2))),
% 58.08/9.44 inference(nnf_transformation,[],[f37854])).
% 58.08/9.44 tff(f37854,plain,(
% 58.08/9.44 ! [X3 : fun(X1,filter(X0)),X0 : $tType,X1 : $tType,X2 : set(X1)] : (? [X5 : X1] : (? [X6 : X1] : (! [X7 : X1] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),aa(X1,filter(X0),X3,X7)),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),aa(X1,filter(X0),X3,X5)),aa(X1,filter(X0),X3,X6)))) | ~member(X1,X7,X2)) & member(X1,X6,X2)) & member(X1,X5,X2)) | ~sP2460(X0,X1,X3,X2))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2460])])).
% 58.08/9.44 tff(f101387,plain,(
% 58.08/9.44 spl5880_3944),
% 58.08/9.44 inference(avatar_split_clause,[],[f63714,f101385])).
% 58.08/9.44 tff(f101385,plain,(
% 58.08/9.44 spl5880_3944 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (member(X2,sK5542(X1,X2,X0,X3),X3) | ~sP2460(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3944])])).
% 58.08/9.44 tff(f63714,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,filter(X1))] : (member(X2,sK5542(X1,X2,X0,X3),X3) | ~sP2460(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45407])).
% 58.08/9.44 tff(f101383,plain,(
% 58.08/9.44 spl5880_3943),
% 58.08/9.44 inference(avatar_split_clause,[],[f63442,f101381])).
% 58.08/9.44 tff(f101381,plain,(
% 58.08/9.44 spl5880_3943 <=> ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X3 : set(X1),X2 : set(X1)] : (sP2455(X1,X0,X2,X3) | member(X1,sK5498(X1,X0,X2,X3),X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3943])])).
% 58.08/9.44 tff(f63442,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : set(X1),X3 : set(X1),X0 : set(product_prod(X1,X1))] : (sP2455(X1,X0,X2,X3) | member(X1,sK5498(X1,X0,X2,X3),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f45268])).
% 58.08/9.44 tff(f101379,plain,(
% 58.08/9.44 spl5880_3942),
% 58.08/9.44 inference(avatar_split_clause,[],[f63084,f101377])).
% 58.08/9.44 tff(f101377,plain,(
% 58.08/9.44 spl5880_3942 <=> ! [X0 : $tType,X3 : set(X0),X2 : X0,X1 : set(set(X0))] : (sP2420(X0,X1,X2,X3) | member(set(X0),sK5386(X0,X1,X2),X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3942])])).
% 58.08/9.44 tff(f63084,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : set(set(X0))] : (sP2420(X0,X1,X2,X3) | member(set(X0),sK5386(X0,X1,X2),X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44952])).
% 58.08/9.44 tff(f44952,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(set(X0)),X2 : X0,X3 : set(X0)] : (sP2420(X0,X1,X2,X3) | (member(X0,X2,sK5386(X0,X1,X2)) & member(set(X0),sK5386(X0,X1,X2),X1)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5386])],[f37791,f44951])).
% 58.08/9.44 tff(f44951,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(set(X0)),X2 : X0] : (? [X4 : set(X0)] : (member(X0,X2,X4) & member(set(X0),X4,X1)) => (member(X0,X2,sK5386(X0,X1,X2)) & member(set(X0),sK5386(X0,X1,X2),X1)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f37791,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(set(X0)),X2 : X0,X3 : set(X0)] : (sP2420(X0,X1,X2,X3) | ? [X4 : set(X0)] : (member(X0,X2,X4) & member(set(X0),X4,X1)))),
% 58.08/9.44 inference(definition_folding,[],[f36191,f37790])).
% 58.08/9.44 tff(f37790,plain,(
% 58.08/9.44 ! [X1 : set(set(X0)),X0 : $tType,X2 : X0,X3 : set(X0)] : ((member(set(X0),X3,aa(set(set(X0)),set(set(X0)),image(set(X0),set(X0),insert(X0,X2)),X1)) <=> (member(set(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))),X1) & member(X0,X2,X3))) | ~sP2420(X0,X1,X2,X3))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2420])])).
% 58.08/9.44 tff(f36191,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(set(X0)),X2 : X0,X3 : set(X0)] : ((member(set(X0),X3,aa(set(set(X0)),set(set(X0)),image(set(X0),set(X0),insert(X0,X2)),X1)) <=> (member(set(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))),X1) & member(X0,X2,X3))) | ? [X4 : set(X0)] : (member(X0,X2,X4) & member(set(X0),X4,X1)))),
% 58.08/9.44 inference(ennf_transformation,[],[f26971])).
% 58.08/9.44 tff(f26971,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : set(set(X0)),X2 : X0,X3 : set(X0)] : (! [X4 : set(X0)] : (member(set(X0),X4,X1) => ~member(X0,X2,X4)) => (member(set(X0),X3,aa(set(set(X0)),set(set(X0)),image(set(X0),set(X0),insert(X0,X2)),X1)) <=> (member(set(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))),X1) & member(X0,X2,X3))))),
% 58.08/9.44 inference(rectify,[],[f4920])).
% 58.08/9.44 tff(f4920,axiom,(
% 58.08/9.44 ! [X0 : $tType,X75 : set(set(X0)),X9 : X0,X27 : set(X0)] : (! [X276 : set(X0)] : (member(set(X0),X276,X75) => ~member(X0,X9,X276)) => (member(set(X0),X27,aa(set(set(X0)),set(set(X0)),image(set(X0),set(X0),insert(X0,X9)),X75)) <=> (member(set(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X27),aa(set(X0),set(X0),insert(X0,X9),bot_bot(set(X0)))),X75) & member(X0,X9,X27))))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4919_in__image__insert__iff)).
% 58.08/9.44 tff(f101375,plain,(
% 58.08/9.44 spl5880_3941),
% 58.08/9.44 inference(avatar_split_clause,[],[f63074,f101373])).
% 58.08/9.44 tff(f101373,plain,(
% 58.08/9.44 spl5880_3941 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (member(X2,sK5383(X1,X2,X0,X3),X3) | ~sP2419(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3941])])).
% 58.08/9.44 tff(f63074,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,filter(X1))] : (member(X2,sK5383(X1,X2,X0,X3),X3) | ~sP2419(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44941])).
% 58.08/9.44 tff(f44941,plain,(
% 58.08/9.44 ! [X0 : fun(X2,filter(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (((! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5382(X1,X2,X0,X3))),aa(X2,filter(X1),X0,sK5383(X1,X2,X0,X3))))) | ~member(X2,X6,X3)) & member(X2,sK5383(X1,X2,X0,X3),X3)) & member(X2,sK5382(X1,X2,X0,X3),X3)) | ~sP2419(X1,X2,X0,X3))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5382,sK5383])],[f44938,f44940,f44939])).
% 58.08/9.44 tff(f44939,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (? [X4 : X2] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,X4)),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,X4,X3)) => (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5382(X1,X2,X0,X3))),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,sK5382(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f44940,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5382(X1,X2,X0,X3))),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) => (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,sK5382(X1,X2,X0,X3))),aa(X2,filter(X1),X0,sK5383(X1,X2,X0,X3))))) | ~member(X2,X6,X3)) & member(X2,sK5383(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f44938,plain,(
% 58.08/9.44 ! [X0 : fun(X2,filter(X1)),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (? [X5 : X2] : (! [X6 : X2] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X2,filter(X1),X0,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X2,filter(X1),X0,X4)),aa(X2,filter(X1),X0,X5)))) | ~member(X2,X6,X3)) & member(X2,X5,X3)) & member(X2,X4,X3)) | ~sP2419(X1,X2,X0,X3))),
% 58.08/9.44 inference(rectify,[],[f44937])).
% 58.08/9.44 tff(f44937,plain,(
% 58.08/9.44 ! [X3 : fun(X0,filter(X1)),X1 : $tType,X0 : $tType,X2 : set(X0)] : (? [X4 : X0] : (? [X5 : X0] : (! [X6 : X0] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X0,filter(X1),X3,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X0,filter(X1),X3,X4)),aa(X0,filter(X1),X3,X5)))) | ~member(X0,X6,X2)) & member(X0,X5,X2)) & member(X0,X4,X2)) | ~sP2419(X1,X0,X3,X2))),
% 58.08/9.44 inference(nnf_transformation,[],[f37788])).
% 58.08/9.44 tff(f37788,plain,(
% 58.08/9.44 ! [X3 : fun(X0,filter(X1)),X1 : $tType,X0 : $tType,X2 : set(X0)] : (? [X4 : X0] : (? [X5 : X0] : (! [X6 : X0] : (($true != aa(filter(X1),$o,aa(filter(X1),fun(filter(X1),$o),ord_less_eq(filter(X1)),aa(X0,filter(X1),X3,X6)),aa(filter(X1),filter(X1),aa(filter(X1),fun(filter(X1),filter(X1)),inf_inf(filter(X1)),aa(X0,filter(X1),X3,X4)),aa(X0,filter(X1),X3,X5)))) | ~member(X0,X6,X2)) & member(X0,X5,X2)) & member(X0,X4,X2)) | ~sP2419(X1,X0,X3,X2))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2419])])).
% 58.08/9.44 tff(f101371,plain,(
% 58.08/9.44 spl5880_3940),
% 58.08/9.44 inference(avatar_split_clause,[],[f63073,f101369])).
% 58.08/9.44 tff(f101369,plain,(
% 58.08/9.44 spl5880_3940 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,filter(X1)),X3 : set(X2)] : (member(X2,sK5382(X1,X2,X0,X3),X3) | ~sP2419(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3940])])).
% 58.08/9.44 tff(f63073,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,filter(X1))] : (member(X2,sK5382(X1,X2,X0,X3),X3) | ~sP2419(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44941])).
% 58.08/9.44 tff(f101367,plain,(
% 58.08/9.44 spl5880_3939),
% 58.08/9.44 inference(avatar_split_clause,[],[f61629,f101365])).
% 58.08/9.44 tff(f101365,plain,(
% 58.08/9.44 spl5880_3939 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (bot_bot(set(X1)) != sK5126(X1,X0,X2) | ~sP2365(X1,X0,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3939])])).
% 58.08/9.44 tff(f61629,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (bot_bot(set(X1)) != sK5126(X1,X0,X2) | ~sP2365(X1,X0,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f44179])).
% 58.08/9.44 tff(f101363,plain,(
% 58.08/9.44 spl5880_3938),
% 58.08/9.44 inference(avatar_split_clause,[],[f61431,f101361])).
% 58.08/9.44 tff(f101361,plain,(
% 58.08/9.44 spl5880_3938 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sK4982(X0,X1,X2) != X0 | ($true = X1) | ~sP2341(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3938])])).
% 58.08/9.44 tff(f61431,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sK4982(X0,X1,X2) != X0 | ($true = X1) | ~sP2341(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43949])).
% 58.08/9.44 tff(f101359,plain,(
% 58.08/9.44 spl5880_3937 | ~spl5880_1418 | ~spl5880_1420 | ~spl5880_1421),
% 58.08/9.44 inference(avatar_split_clause,[],[f86072,f85667,f85662,f85651,f101356])).
% 58.08/9.44 tff(f101356,plain,(
% 58.08/9.44 spl5880_3937 <=> maxs77 = maxs83),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3937])])).
% 58.08/9.44 tff(f85651,plain,(
% 58.08/9.44 spl5880_1418 <=> maxs83 = lG1842(sn82)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1418])])).
% 58.08/9.44 tff(f85662,plain,(
% 58.08/9.44 spl5880_1420 <=> sn76 = sn82),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_1420])])).
% 58.08/9.44 tff(f86072,plain,(
% 58.08/9.44 maxs77 = maxs83 | (~spl5880_1418 | ~spl5880_1420 | ~spl5880_1421)),
% 58.08/9.44 inference(forward_demodulation,[],[f86071,f85669])).
% 58.08/9.44 tff(f86071,plain,(
% 58.08/9.44 maxs83 = lG1842(sn76) | (~spl5880_1418 | ~spl5880_1420)),
% 58.08/9.44 inference(superposition,[],[f85653,f85664])).
% 58.08/9.44 tff(f85664,plain,(
% 58.08/9.44 sn76 = sn82 | ~spl5880_1420),
% 58.08/9.44 inference(avatar_component_clause,[],[f85662])).
% 58.08/9.44 tff(f85653,plain,(
% 58.08/9.44 maxs83 = lG1842(sn82) | ~spl5880_1418),
% 58.08/9.44 inference(avatar_component_clause,[],[f85651])).
% 58.08/9.44 tff(f101354,plain,(
% 58.08/9.44 spl5880_3936),
% 58.08/9.44 inference(avatar_split_clause,[],[f61430,f101352])).
% 58.08/9.44 tff(f101352,plain,(
% 58.08/9.44 spl5880_3936 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sK4981(X0,X1,X2) != X0 | ($true = X1) | ~sP2341(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3936])])).
% 58.08/9.44 tff(f61430,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (sK4981(X0,X1,X2) != X0 | ($true = X1) | ~sP2341(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43949])).
% 58.08/9.44 tff(f101350,plain,(
% 58.08/9.44 spl5880_3935),
% 58.08/9.44 inference(avatar_split_clause,[],[f61367,f101348])).
% 58.08/9.44 tff(f101348,plain,(
% 58.08/9.44 spl5880_3935 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1463(sK4944(X2)),bG1464(sK4945(X2))) = X2 | ~sP2330(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3935])])).
% 58.08/9.44 tff(f61367,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (vEBT_Leaf(bG1463(sK4944(X2)),bG1464(sK4945(X2))) = X2 | ~sP2330(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43875])).
% 58.08/9.44 tff(f43875,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((one_one(nat) = X0 | ($true != X1)) & (one_one(nat) != X0 | ($true = X1)) & vEBT_Leaf(bG1463(sK4944(X2)),bG1464(sK4945(X2))) = X2) | ~sP2330(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4944,sK4945])],[f43873,f43874])).
% 58.08/9.44 tff(f43874,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1463(X3),bG1464(X4)) = X2 => vEBT_Leaf(bG1463(sK4944(X2)),bG1464(sK4945(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43873,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (((one_one(nat) = X0 | ($true != X1)) & (one_one(nat) != X0 | ($true = X1)) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1463(X3),bG1464(X4)) = X2) | ~sP2330(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43872])).
% 58.08/9.44 tff(f43872,plain,(
% 58.08/9.44 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (((one_one(nat) = X1 | ($true != X2)) & (one_one(nat) != X1 | ($true = X2)) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1463(X3),bG1464(X4)) = X0) | ~sP2330(X1,X2,X0))),
% 58.08/9.44 inference(flattening,[],[f43871])).
% 58.08/9.44 tff(f43871,plain,(
% 58.08/9.44 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : ((((one_one(nat) = X1 | ($true != X2)) & (one_one(nat) != X1 | ($true = X2))) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1463(X3),bG1464(X4)) = X0) | ~sP2330(X1,X2,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37648])).
% 58.08/9.44 tff(f37648,plain,(
% 58.08/9.44 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (((($true = X2) <~> one_one(nat) != X1) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1463(X3),bG1464(X4)) = X0) | ~sP2330(X1,X2,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2330])])).
% 58.08/9.44 tff(f101346,plain,(
% 58.08/9.44 spl5880_3934),
% 58.08/9.44 inference(avatar_split_clause,[],[f61282,f101344])).
% 58.08/9.44 tff(f101344,plain,(
% 58.08/9.44 spl5880_3934 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4931(X0,X1)) = X1 | ~sP2318(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3934])])).
% 58.08/9.44 tff(f61282,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4931(X0,X1)) = X1 | ~sP2318(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43840])).
% 58.08/9.44 tff(f43840,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4931(X0,X1))))) & none(num) = X0 & aa(num,num,bit0,sK4931(X0,X1)) = X1) & one2 = X2) | ~sP2318(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4931])],[f43838,f43839])).
% 58.08/9.44 tff(f43839,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & none(num) = X0 & aa(num,num,bit0,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4931(X0,X1))))) & none(num) = X0 & aa(num,num,bit0,sK4931(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43838,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & none(num) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP2318(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43837])).
% 58.08/9.44 tff(f43837,plain,(
% 58.08/9.44 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_un4731106466462545111um_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & none(num) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2318(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37634])).
% 58.08/9.44 tff(f37634,plain,(
% 58.08/9.44 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2318(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2318])])).
% 58.08/9.44 tff(f101342,plain,(
% 58.08/9.44 spl5880_3933),
% 58.08/9.44 inference(avatar_split_clause,[],[f61278,f101340])).
% 58.08/9.44 tff(f101340,plain,(
% 58.08/9.44 spl5880_3933 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4930(X0,X1)) = X1 | ~sP2319(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3933])])).
% 58.08/9.44 tff(f61278,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4930(X0,X1)) = X1 | ~sP2319(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43836])).
% 58.08/9.44 tff(f101338,plain,(
% 58.08/9.44 spl5880_3932),
% 58.08/9.44 inference(avatar_split_clause,[],[f61246,f101336])).
% 58.08/9.44 tff(f101336,plain,(
% 58.08/9.44 spl5880_3932 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4919(X0,X1)) = X1 | ~sP2310(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3932])])).
% 58.08/9.44 tff(f61246,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4919(X0,X1)) = X1 | ~sP2310(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43803])).
% 58.08/9.44 tff(f101334,plain,(
% 58.08/9.44 spl5880_3931),
% 58.08/9.44 inference(avatar_split_clause,[],[f61242,f101332])).
% 58.08/9.44 tff(f101332,plain,(
% 58.08/9.44 spl5880_3931 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4918(X0,X1)) = X1 | ~sP2311(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3931])])).
% 58.08/9.44 tff(f61242,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4918(X0,X1)) = X1 | ~sP2311(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43799])).
% 58.08/9.44 tff(f101330,plain,(
% 58.08/9.44 spl5880_3930),
% 58.08/9.44 inference(avatar_split_clause,[],[f61186,f101328])).
% 58.08/9.44 tff(f101328,plain,(
% 58.08/9.44 spl5880_3930 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4895(X0,X1)) = X1 | ~sP2294(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3930])])).
% 58.08/9.44 tff(f61186,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4895(X0,X1)) = X1 | ~sP2294(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43729])).
% 58.08/9.44 tff(f101326,plain,(
% 58.08/9.44 spl5880_3929),
% 58.08/9.44 inference(avatar_split_clause,[],[f61183,f101324])).
% 58.08/9.44 tff(f101324,plain,(
% 58.08/9.44 spl5880_3929 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4894(X0,X1)) = X1 | ~sP2295(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3929])])).
% 58.08/9.44 tff(f61183,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4894(X0,X1)) = X1 | ~sP2295(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43725])).
% 58.08/9.44 tff(f101322,plain,(
% 58.08/9.44 spl5880_3928),
% 58.08/9.44 inference(avatar_split_clause,[],[f61082,f101320])).
% 58.08/9.44 tff(f101320,plain,(
% 58.08/9.44 spl5880_3928 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4855(X0,X1)) = X1 | ~sP2285(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3928])])).
% 58.08/9.44 tff(f61082,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4855(X0,X1)) = X1 | ~sP2285(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43643])).
% 58.08/9.44 tff(f101318,plain,(
% 58.08/9.44 spl5880_3927),
% 58.08/9.44 inference(avatar_split_clause,[],[f61078,f101316])).
% 58.08/9.44 tff(f101316,plain,(
% 58.08/9.44 spl5880_3927 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4854(X0,X1)) = X1 | ~sP2286(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3927])])).
% 58.08/9.44 tff(f61078,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4854(X0,X1)) = X1 | ~sP2286(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43639])).
% 58.08/9.44 tff(f43639,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4854(X0,X1))))) & none(num) = X0 & aa(num,num,bit1,sK4854(X0,X1)) = X1) & one2 = X2) | ~sP2286(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4854])],[f43637,f43638])).
% 58.08/9.44 tff(f43638,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & none(num) = X0 & aa(num,num,bit1,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4854(X0,X1))))) & none(num) = X0 & aa(num,num,bit1,sK4854(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43637,plain,(
% 58.08/9.44 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & none(num) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP2286(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43636])).
% 58.08/9.44 tff(f43636,plain,(
% 58.08/9.44 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_and_not_num_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4)))) & none(num) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2286(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37597])).
% 58.08/9.44 tff(f37597,plain,(
% 58.08/9.44 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2286(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2286])])).
% 58.08/9.44 tff(f101313,plain,(
% 58.08/9.44 spl5880_3926),
% 58.08/9.44 inference(avatar_split_clause,[],[f60976,f101311])).
% 58.08/9.44 tff(f101311,plain,(
% 58.08/9.44 spl5880_3926 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1398(sK4782(X2)),bG1399(sK4783(X2))) = X2 | ~sP2262(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3926])])).
% 58.08/9.44 tff(f60976,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1398(sK4782(X2)),bG1399(sK4783(X2))) = X2 | ~sP2262(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43515])).
% 58.08/9.44 tff(f43515,plain,(
% 58.08/9.44 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & aa(nat,nat,suc,sK4781(X1)) = X1 & vEBT_Leaf(bG1398(sK4782(X2)),bG1399(sK4783(X2))) = X2) | ~sP2262(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4781,sK4782,sK4783])],[f43512,f43514,f43513])).
% 58.08/9.44 tff(f43513,plain,(
% 58.08/9.44 ! [X1 : nat] : (? [X3 : nat] : aa(nat,nat,suc,X3) = X1 => aa(nat,nat,suc,sK4781(X1)) = X1)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43514,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1398(X4),bG1399(X5)) = X2 => vEBT_Leaf(bG1398(sK4782(X2)),bG1399(sK4783(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43512,plain,(
% 58.08/9.44 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & ? [X3 : nat] : aa(nat,nat,suc,X3) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1398(X4),bG1399(X5)) = X2) | ~sP2262(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43511])).
% 58.08/9.44 tff(f43511,plain,(
% 58.08/9.44 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1398(X5),bG1399(X6)) = X0) | ~sP2262(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37569])).
% 58.08/9.44 tff(f37569,plain,(
% 58.08/9.44 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1398(X5),bG1399(X6)) = X0) | ~sP2262(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2262])])).
% 58.08/9.44 tff(f101309,plain,(
% 58.08/9.44 spl5880_3925),
% 58.08/9.44 inference(avatar_split_clause,[],[f60965,f101307])).
% 58.08/9.44 tff(f101307,plain,(
% 58.08/9.44 spl5880_3925 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1377(sK4765(X2)),bG1378(sK4766(X2))) = X2 | ~sP2256(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3925])])).
% 58.08/9.44 tff(f60965,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (vEBT_Leaf(bG1377(sK4765(X2)),bG1378(sK4766(X2))) = X2 | ~sP2256(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43498])).
% 58.08/9.44 tff(f43498,plain,(
% 58.08/9.44 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1377(sK4765(X2)),bG1378(sK4766(X2))) = X2) | ~sP2256(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4765,sK4766])],[f43496,f43497])).
% 58.08/9.44 tff(f43497,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1377(X3),bG1378(X4)) = X2 => vEBT_Leaf(bG1377(sK4765(X2)),bG1378(sK4766(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43496,plain,(
% 58.08/9.44 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1377(X3),bG1378(X4)) = X2) | ~sP2256(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43495])).
% 58.08/9.44 tff(f43495,plain,(
% 58.08/9.44 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1377(X3),bG1378(X4)) = X0) | ~sP2256(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37562])).
% 58.08/9.44 tff(f37562,plain,(
% 58.08/9.44 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1377(X3),bG1378(X4)) = X0) | ~sP2256(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2256])])).
% 58.08/9.44 tff(f101305,plain,(
% 58.08/9.44 spl5880_3924),
% 58.08/9.44 inference(avatar_split_clause,[],[f60945,f101303])).
% 58.08/9.44 tff(f101303,plain,(
% 58.08/9.44 spl5880_3924 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,bG1347(sK4748(X0,X1,X2))) = X0 | ~sP2250(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3924])])).
% 58.08/9.44 tff(f60945,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,bG1347(sK4748(X0,X1,X2))) = X0 | ~sP2250(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43473])).
% 58.08/9.44 tff(f101301,plain,(
% 58.08/9.44 spl5880_3923),
% 58.08/9.44 inference(avatar_split_clause,[],[f60941,f101299])).
% 58.08/9.44 tff(f101299,plain,(
% 58.08/9.44 spl5880_3923 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1352(sK4745(X0,X1,X2)),$false) = X0 | ~sP2251(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3923])])).
% 58.08/9.44 tff(f60941,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1352(sK4745(X0,X1,X2)),$false) = X0 | ~sP2251(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43469])).
% 58.08/9.44 tff(f101297,plain,(
% 58.08/9.44 spl5880_3922),
% 58.08/9.44 inference(avatar_split_clause,[],[f60921,f101295])).
% 58.08/9.44 tff(f101295,plain,(
% 58.08/9.44 spl5880_3922 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,bG1321(sK4721(X0,X1,X2))) = X0 | ~sP2245(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3922])])).
% 58.08/9.44 tff(f60921,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,bG1321(sK4721(X0,X1,X2))) = X0 | ~sP2245(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43444])).
% 58.08/9.44 tff(f101293,plain,(
% 58.08/9.44 spl5880_3921),
% 58.08/9.44 inference(avatar_split_clause,[],[f60918,f101291])).
% 58.08/9.44 tff(f101291,plain,(
% 58.08/9.44 spl5880_3921 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1324(sK4718(X0,X1,X2)),$false) = X0 | ~sP2246(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3921])])).
% 58.08/9.44 tff(f60918,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(bG1324(sK4718(X0,X1,X2)),$false) = X0 | ~sP2246(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43440])).
% 58.08/9.44 tff(f101289,plain,(
% 58.08/9.44 spl5880_3920),
% 58.08/9.44 inference(avatar_split_clause,[],[f60899,f101287])).
% 58.08/9.44 tff(f101287,plain,(
% 58.08/9.44 spl5880_3920 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4705(X0,X1)) = X0 | ~sP2238(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3920])])).
% 58.08/9.44 tff(f60899,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4705(X0,X1)) = X0 | ~sP2238(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43416])).
% 58.08/9.44 tff(f43416,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4705(X0,X1))))) & aa(num,num,bit1,sK4705(X0,X1)) = X0 & aa(num,num,bit0,sK4705(X0,X1)) = X1) & one2 = X2) | ~sP2238(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4705])],[f43414,f43415])).
% 58.08/9.44 tff(f43415,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK4705(X0,X1))))) & aa(num,num,bit1,sK4705(X0,X1)) = X0 & aa(num,num,bit0,sK4705(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43414,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP2238(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43413])).
% 58.08/9.44 tff(f43413,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2238(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37541])).
% 58.08/9.44 tff(f37541,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3)))) & aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2238(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2238])])).
% 58.08/9.44 tff(f101285,plain,(
% 58.08/9.44 spl5880_3919),
% 58.08/9.44 inference(avatar_split_clause,[],[f60898,f101283])).
% 58.08/9.44 tff(f101283,plain,(
% 58.08/9.44 spl5880_3919 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4705(X0,X1)) = X1 | ~sP2238(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3919])])).
% 58.08/9.44 tff(f60898,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4705(X0,X1)) = X1 | ~sP2238(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43416])).
% 58.08/9.44 tff(f101281,plain,(
% 58.08/9.44 spl5880_3918),
% 58.08/9.44 inference(avatar_split_clause,[],[f60895,f101279])).
% 58.08/9.44 tff(f101279,plain,(
% 58.08/9.44 spl5880_3918 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4704(X0,X1)) = X0 | ~sP2239(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3918])])).
% 58.08/9.44 tff(f60895,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4704(X0,X1)) = X0 | ~sP2239(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43412])).
% 58.08/9.44 tff(f43412,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : (((($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4704(X0,X1))))) & aa(num,num,bit1,sK4704(X0,X1)) = X0 & aa(num,num,bit1,sK4704(X0,X1)) = X1) & one2 = X2) | ~sP2239(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4704])],[f43410,f43411])).
% 58.08/9.44 tff(f43411,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num] : (? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) => (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK4704(X0,X1))))) & aa(num,num,bit1,sK4704(X0,X1)) = X0 & aa(num,num,bit1,sK4704(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43410,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3)))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP2239(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43409])).
% 58.08/9.44 tff(f43409,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,accp(product_prod(num,num),bit_or3848514188828904588eg_rel),aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4)))) & aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2239(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37542])).
% 58.08/9.44 tff(f37542,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (($true = aa(product_prod(num,num),$o,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) | ~sP2239(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2239])])).
% 58.08/9.44 tff(f101277,plain,(
% 58.08/9.44 spl5880_3917),
% 58.08/9.44 inference(avatar_split_clause,[],[f60894,f101275])).
% 58.08/9.44 tff(f101275,plain,(
% 58.08/9.44 spl5880_3917 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4704(X0,X1)) = X1 | ~sP2239(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3917])])).
% 58.08/9.44 tff(f60894,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4704(X0,X1)) = X1 | ~sP2239(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43412])).
% 58.08/9.44 tff(f101273,plain,(
% 58.08/9.44 spl5880_3916),
% 58.08/9.44 inference(avatar_split_clause,[],[f60866,f101271])).
% 58.08/9.44 tff(f101271,plain,(
% 58.08/9.44 spl5880_3916 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4693(X0,X1)) = X0 | ~sP2230(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3916])])).
% 58.08/9.44 tff(f60866,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4693(X0,X1)) = X0 | ~sP2230(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43379])).
% 58.08/9.44 tff(f43379,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : (((aa(num,num,bit1,sK4693(X0,X1)) = X0 & aa(num,num,bit0,sK4693(X0,X1)) = X1) & one2 = X2) | ~sP2230(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4693])],[f43377,f43378])).
% 58.08/9.44 tff(f43378,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num] : (? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) => (aa(num,num,bit1,sK4693(X0,X1)) = X0 & aa(num,num,bit0,sK4693(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43377,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP2230(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43376])).
% 58.08/9.44 tff(f43376,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2230(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37532])).
% 58.08/9.44 tff(f37532,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP2230(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2230])])).
% 58.08/9.44 tff(f101269,plain,(
% 58.08/9.44 spl5880_3915),
% 58.08/9.44 inference(avatar_split_clause,[],[f60865,f101267])).
% 58.08/9.44 tff(f101267,plain,(
% 58.08/9.44 spl5880_3915 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4693(X0,X1)) = X1 | ~sP2230(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3915])])).
% 58.08/9.44 tff(f60865,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4693(X0,X1)) = X1 | ~sP2230(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43379])).
% 58.08/9.44 tff(f101265,plain,(
% 58.08/9.44 spl5880_3914),
% 58.08/9.44 inference(avatar_split_clause,[],[f60863,f101263])).
% 58.08/9.44 tff(f101263,plain,(
% 58.08/9.44 spl5880_3914 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4692(X0,X1)) = X0 | ~sP2231(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3914])])).
% 58.08/9.44 tff(f60863,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4692(X0,X1)) = X0 | ~sP2231(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43375])).
% 58.08/9.44 tff(f43375,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : (((aa(num,num,bit1,sK4692(X0,X1)) = X0 & aa(num,num,bit1,sK4692(X0,X1)) = X1) & one2 = X2) | ~sP2231(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4692])],[f43373,f43374])).
% 58.08/9.44 tff(f43374,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num] : (? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) => (aa(num,num,bit1,sK4692(X0,X1)) = X0 & aa(num,num,bit1,sK4692(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43373,plain,(
% 58.08/9.44 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP2231(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43372])).
% 58.08/9.44 tff(f43372,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2231(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37533])).
% 58.08/9.44 tff(f37533,plain,(
% 58.08/9.44 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP2231(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2231])])).
% 58.08/9.44 tff(f101261,plain,(
% 58.08/9.44 spl5880_3913),
% 58.08/9.44 inference(avatar_split_clause,[],[f60862,f101259])).
% 58.08/9.44 tff(f101259,plain,(
% 58.08/9.44 spl5880_3913 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4692(X0,X1)) = X1 | ~sP2231(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3913])])).
% 58.08/9.44 tff(f60862,plain,(
% 58.08/9.44 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4692(X0,X1)) = X1 | ~sP2231(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43375])).
% 58.08/9.44 tff(f101257,plain,(
% 58.08/9.44 spl5880_3912),
% 58.08/9.44 inference(avatar_split_clause,[],[f60815,f101255])).
% 58.08/9.44 tff(f101255,plain,(
% 58.08/9.44 spl5880_3912 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1269(sK4650(X2)),bG1270(sK4651(X2))) = X2 | ~sP2218(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3912])])).
% 58.08/9.44 tff(f60815,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1269(sK4650(X2)),bG1270(sK4651(X2))) = X2 | ~sP2218(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43316])).
% 58.08/9.44 tff(f43316,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1269(sK4650(X2)),bG1270(sK4651(X2))) = X2) | ~sP2218(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4650,sK4651])],[f43314,f43315])).
% 58.08/9.44 tff(f43315,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1269(X3),bG1270(X4)) = X2 => vEBT_Leaf(bG1269(sK4650(X2)),bG1270(sK4651(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43314,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1269(X3),bG1270(X4)) = X2) | ~sP2218(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43313])).
% 58.08/9.44 tff(f43313,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1269(X3),bG1270(X4)) = X0) | ~sP2218(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37518])).
% 58.08/9.44 tff(f37518,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1269(X3),bG1270(X4)) = X0) | ~sP2218(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2218])])).
% 58.08/9.44 tff(f101253,plain,(
% 58.08/9.44 spl5880_3911),
% 58.08/9.44 inference(avatar_split_clause,[],[f60812,f101251])).
% 58.08/9.44 tff(f101251,plain,(
% 58.08/9.44 spl5880_3911 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1271(sK4648(X2)),bG1272(sK4649(X2))) = X2 | ~sP2219(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3911])])).
% 58.08/9.44 tff(f60812,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1271(sK4648(X2)),bG1272(sK4649(X2))) = X2 | ~sP2219(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43312])).
% 58.08/9.44 tff(f43312,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1271(sK4648(X2)),bG1272(sK4649(X2))) = X2) | ~sP2219(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4648,sK4649])],[f43310,f43311])).
% 58.08/9.44 tff(f43311,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1271(X3),bG1272(X4)) = X2 => vEBT_Leaf(bG1271(sK4648(X2)),bG1272(sK4649(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43310,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1271(X3),bG1272(X4)) = X2) | ~sP2219(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43309])).
% 58.08/9.44 tff(f43309,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1271(X5),bG1272(X6)) = X0) | ~sP2219(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37519])).
% 58.08/9.44 tff(f37519,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1271(X5),bG1272(X6)) = X0) | ~sP2219(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2219])])).
% 58.08/9.44 tff(f101249,plain,(
% 58.08/9.44 spl5880_3910),
% 58.08/9.44 inference(avatar_split_clause,[],[f60809,f101247])).
% 58.08/9.44 tff(f101247,plain,(
% 58.08/9.44 spl5880_3910 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1273(sK4646(X2)),bG1274(sK4647(X2))) = X2 | ~sP2220(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3910])])).
% 58.08/9.44 tff(f60809,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1273(sK4646(X2)),bG1274(sK4647(X2))) = X2 | ~sP2220(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43308])).
% 58.08/9.44 tff(f101245,plain,(
% 58.08/9.44 spl5880_3909),
% 58.08/9.44 inference(avatar_split_clause,[],[f60710,f101243])).
% 58.08/9.44 tff(f101243,plain,(
% 58.08/9.44 spl5880_3909 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1175(sK4538(X2)),bG1176(sK4539(X2))) = X2 | ~sP2190(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3909])])).
% 58.08/9.44 tff(f60710,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1175(sK4538(X2)),bG1176(sK4539(X2))) = X2 | ~sP2190(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43181])).
% 58.08/9.44 tff(f43181,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1175(sK4538(X2)),bG1176(sK4539(X2))) = X2) | ~sP2190(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4538,sK4539])],[f43179,f43180])).
% 58.08/9.44 tff(f43180,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1175(X3),bG1176(X4)) = X2 => vEBT_Leaf(bG1175(sK4538(X2)),bG1176(sK4539(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43179,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1175(X3),bG1176(X4)) = X2) | ~sP2190(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43178])).
% 58.08/9.44 tff(f43178,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1175(X3),bG1176(X4)) = X0) | ~sP2190(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37484])).
% 58.08/9.44 tff(f37484,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1175(X3),bG1176(X4)) = X0) | ~sP2190(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2190])])).
% 58.08/9.44 tff(f101241,plain,(
% 58.08/9.44 spl5880_3908),
% 58.08/9.44 inference(avatar_split_clause,[],[f60707,f101239])).
% 58.08/9.44 tff(f101239,plain,(
% 58.08/9.44 spl5880_3908 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1177(sK4536(X2)),bG1178(sK4537(X2))) = X2 | ~sP2191(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3908])])).
% 58.08/9.44 tff(f60707,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1177(sK4536(X2)),bG1178(sK4537(X2))) = X2 | ~sP2191(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43177])).
% 58.08/9.44 tff(f43177,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1177(sK4536(X2)),bG1178(sK4537(X2))) = X2) | ~sP2191(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4536,sK4537])],[f43175,f43176])).
% 58.08/9.44 tff(f43176,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1177(X3),bG1178(X4)) = X2 => vEBT_Leaf(bG1177(sK4536(X2)),bG1178(sK4537(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43175,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1177(X3),bG1178(X4)) = X2) | ~sP2191(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43174])).
% 58.08/9.44 tff(f43174,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1177(X5),bG1178(X6)) = X0) | ~sP2191(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37485])).
% 58.08/9.44 tff(f37485,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1177(X5),bG1178(X6)) = X0) | ~sP2191(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2191])])).
% 58.08/9.44 tff(f101237,plain,(
% 58.08/9.44 spl5880_3907),
% 58.08/9.44 inference(avatar_split_clause,[],[f60693,f101235])).
% 58.08/9.44 tff(f101235,plain,(
% 58.08/9.44 spl5880_3907 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1163(sK4517(X2)),bG1164(sK4518(X2))) = X2 | ~sP2185(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3907])])).
% 58.08/9.44 tff(f60693,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1163(sK4517(X2)),bG1164(sK4518(X2))) = X2 | ~sP2185(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43156])).
% 58.08/9.44 tff(f43156,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1163(sK4517(X2)),bG1164(sK4518(X2))) = X2) | ~sP2185(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4517,sK4518])],[f43154,f43155])).
% 58.08/9.44 tff(f43155,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1163(X3),bG1164(X4)) = X2 => vEBT_Leaf(bG1163(sK4517(X2)),bG1164(sK4518(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43154,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1163(X3),bG1164(X4)) = X2) | ~sP2185(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43153])).
% 58.08/9.44 tff(f43153,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1163(X3),bG1164(X4)) = X0) | ~sP2185(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37478])).
% 58.08/9.44 tff(f37478,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1163(X3),bG1164(X4)) = X0) | ~sP2185(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2185])])).
% 58.08/9.44 tff(f101233,plain,(
% 58.08/9.44 spl5880_3906),
% 58.08/9.44 inference(avatar_split_clause,[],[f60690,f101231])).
% 58.08/9.44 tff(f101231,plain,(
% 58.08/9.44 spl5880_3906 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1165(sK4515(X2)),bG1166(sK4516(X2))) = X2 | ~sP2186(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3906])])).
% 58.08/9.44 tff(f60690,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1165(sK4515(X2)),bG1166(sK4516(X2))) = X2 | ~sP2186(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43152])).
% 58.08/9.44 tff(f43152,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG1165(sK4515(X2)),bG1166(sK4516(X2))) = X2) | ~sP2186(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4515,sK4516])],[f43150,f43151])).
% 58.08/9.44 tff(f43151,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1165(X3),bG1166(X4)) = X2 => vEBT_Leaf(bG1165(sK4515(X2)),bG1166(sK4516(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43150,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1165(X3),bG1166(X4)) = X2) | ~sP2186(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43149])).
% 58.08/9.44 tff(f43149,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1165(X5),bG1166(X6)) = X0) | ~sP2186(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37479])).
% 58.08/9.44 tff(f37479,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1165(X5),bG1166(X6)) = X0) | ~sP2186(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2186])])).
% 58.08/9.44 tff(f101229,plain,(
% 58.08/9.44 spl5880_3905),
% 58.08/9.44 inference(avatar_split_clause,[],[f60687,f101227])).
% 58.08/9.44 tff(f101227,plain,(
% 58.08/9.44 spl5880_3905 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1167(sK4513(X2)),bG1168(sK4514(X2))) = X2 | ~sP2187(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3905])])).
% 58.08/9.44 tff(f60687,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1167(sK4513(X2)),bG1168(sK4514(X2))) = X2 | ~sP2187(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43148])).
% 58.08/9.44 tff(f101225,plain,(
% 58.08/9.44 spl5880_3904),
% 58.08/9.44 inference(avatar_split_clause,[],[f60677,f101223])).
% 58.08/9.44 tff(f101223,plain,(
% 58.08/9.44 spl5880_3904 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1155(sK4496(X2)),bG1156(sK4497(X2))) = X2 | ~sP2182(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3904])])).
% 58.08/9.44 tff(f60677,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1155(sK4496(X2)),bG1156(sK4497(X2))) = X2 | ~sP2182(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43131])).
% 58.08/9.44 tff(f43131,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1157(X1)) = X0 & vEBT_Leaf(bG1155(sK4496(X2)),bG1156(sK4497(X2))) = X2) | ~sP2182(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4496,sK4497])],[f43129,f43130])).
% 58.08/9.44 tff(f43130,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1155(X3),bG1156(X4)) = X2 => vEBT_Leaf(bG1155(sK4496(X2)),bG1156(sK4497(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43129,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1157(X1)) = X0 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1155(X3),bG1156(X4)) = X2) | ~sP2182(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43128])).
% 58.08/9.44 tff(f43128,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1157(X1)) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1155(X3),bG1156(X4)) = X0) | ~sP2182(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37474])).
% 58.08/9.44 tff(f37474,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1157(X1)) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1155(X3),bG1156(X4)) = X0) | ~sP2182(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2182])])).
% 58.08/9.44 tff(f101221,plain,(
% 58.08/9.44 spl5880_3903),
% 58.08/9.44 inference(avatar_split_clause,[],[f60611,f101219])).
% 58.08/9.44 tff(f101219,plain,(
% 58.08/9.44 spl5880_3903 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1104(sK4426(X2)),bG1105(sK4427(X2))) = X2 | ~sP2164(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3903])])).
% 58.08/9.44 tff(f60611,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1104(sK4426(X2)),bG1105(sK4427(X2))) = X2 | ~sP2164(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43048])).
% 58.08/9.44 tff(f43048,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1104(sK4426(X2)),bG1105(sK4427(X2))) = X2) | ~sP2164(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4426,sK4427])],[f43046,f43047])).
% 58.08/9.44 tff(f43047,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1104(X3),bG1105(X4)) = X2 => vEBT_Leaf(bG1104(sK4426(X2)),bG1105(sK4427(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43046,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1104(X3),bG1105(X4)) = X2) | ~sP2164(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43045])).
% 58.08/9.44 tff(f43045,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1104(X3),bG1105(X4)) = X0) | ~sP2164(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37452])).
% 58.08/9.44 tff(f37452,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1104(X3),bG1105(X4)) = X0) | ~sP2164(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2164])])).
% 58.08/9.44 tff(f101217,plain,(
% 58.08/9.44 spl5880_3902),
% 58.08/9.44 inference(avatar_split_clause,[],[f60608,f101215])).
% 58.08/9.44 tff(f101215,plain,(
% 58.08/9.44 spl5880_3902 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1106(sK4424(X2)),bG1107(sK4425(X2))) = X2 | ~sP2165(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3902])])).
% 58.08/9.44 tff(f60608,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1106(sK4424(X2)),bG1107(sK4425(X2))) = X2 | ~sP2165(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43044])).
% 58.08/9.44 tff(f43044,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,sK4423(X1)) = X1 & vEBT_Leaf(bG1106(sK4424(X2)),bG1107(sK4425(X2))) = X2) | ~sP2165(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4423,sK4424,sK4425])],[f43041,f43043,f43042])).
% 58.08/9.44 tff(f43042,plain,(
% 58.08/9.44 ! [X1 : nat] : (? [X3 : nat] : aa(nat,nat,suc,X3) = X1 => aa(nat,nat,suc,sK4423(X1)) = X1)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43043,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1106(X4),bG1107(X5)) = X2 => vEBT_Leaf(bG1106(sK4424(X2)),bG1107(sK4425(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43041,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X3 : nat] : aa(nat,nat,suc,X3) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1106(X4),bG1107(X5)) = X2) | ~sP2165(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43040])).
% 58.08/9.44 tff(f43040,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1106(X5),bG1107(X6)) = X0) | ~sP2165(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37453])).
% 58.08/9.44 tff(f37453,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1106(X5),bG1107(X6)) = X0) | ~sP2165(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2165])])).
% 58.08/9.44 tff(f101213,plain,(
% 58.08/9.44 spl5880_3901),
% 58.08/9.44 inference(avatar_split_clause,[],[f60597,f101211])).
% 58.08/9.44 tff(f101211,plain,(
% 58.08/9.44 spl5880_3901 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1094(sK4407(X2)),bG1095(sK4408(X2))) = X2 | ~sP2160(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3901])])).
% 58.08/9.44 tff(f60597,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1094(sK4407(X2)),bG1095(sK4408(X2))) = X2 | ~sP2160(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43027])).
% 58.08/9.44 tff(f43027,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(bG1094(sK4407(X2)),bG1095(sK4408(X2))) = X2) | ~sP2160(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4407,sK4408])],[f43025,f43026])).
% 58.08/9.44 tff(f43026,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1094(X3),bG1095(X4)) = X2 => vEBT_Leaf(bG1094(sK4407(X2)),bG1095(sK4408(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43025,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1094(X3),bG1095(X4)) = X2) | ~sP2160(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43024])).
% 58.08/9.44 tff(f43024,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1094(X3),bG1095(X4)) = X0) | ~sP2160(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37447])).
% 58.08/9.44 tff(f37447,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1094(X3),bG1095(X4)) = X0) | ~sP2160(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2160])])).
% 58.08/9.44 tff(f101209,plain,(
% 58.08/9.44 spl5880_3900),
% 58.08/9.44 inference(avatar_split_clause,[],[f60594,f101207])).
% 58.08/9.44 tff(f101207,plain,(
% 58.08/9.44 spl5880_3900 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1096(sK4405(X2)),bG1097(sK4406(X2))) = X2 | ~sP2161(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3900])])).
% 58.08/9.44 tff(f60594,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1096(sK4405(X2)),bG1097(sK4406(X2))) = X2 | ~sP2161(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f43023])).
% 58.08/9.44 tff(f43023,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & aa(nat,nat,suc,sK4404(X1)) = X1 & vEBT_Leaf(bG1096(sK4405(X2)),bG1097(sK4406(X2))) = X2) | ~sP2161(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4404,sK4405,sK4406])],[f43020,f43022,f43021])).
% 58.08/9.44 tff(f43021,plain,(
% 58.08/9.44 ! [X1 : nat] : (? [X3 : nat] : aa(nat,nat,suc,X3) = X1 => aa(nat,nat,suc,sK4404(X1)) = X1)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43022,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1096(X4),bG1097(X5)) = X2 => vEBT_Leaf(bG1096(sK4405(X2)),bG1097(sK4406(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f43020,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X3 : nat] : aa(nat,nat,suc,X3) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG1096(X4),bG1097(X5)) = X2) | ~sP2161(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f43019])).
% 58.08/9.44 tff(f43019,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1096(X5),bG1097(X6)) = X0) | ~sP2161(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37448])).
% 58.08/9.44 tff(f37448,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X7 : nat] : aa(nat,nat,suc,X7) = X1 & ? [X5 : $o,X6 : $o] : vEBT_Leaf(bG1096(X5),bG1097(X6)) = X0) | ~sP2161(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2161])])).
% 58.08/9.44 tff(f101205,plain,(
% 58.08/9.44 spl5880_3899),
% 58.08/9.44 inference(avatar_split_clause,[],[f60559,f101203])).
% 58.08/9.44 tff(f101203,plain,(
% 58.08/9.44 spl5880_3899 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1067(sK4356(X2)),bG1068(sK4357(X2))) = X2 | ~sP2150(X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3899])])).
% 58.08/9.44 tff(f60559,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (vEBT_Leaf(bG1067(sK4356(X2)),bG1068(sK4357(X2))) = X2 | ~sP2150(X0,X1,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42970])).
% 58.08/9.44 tff(f42970,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1069(X1)) = X0 & vEBT_Leaf(bG1067(sK4356(X2)),bG1068(sK4357(X2))) = X2) | ~sP2150(X0,X1,X2))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4356,sK4357])],[f42968,f42969])).
% 58.08/9.44 tff(f42969,plain,(
% 58.08/9.44 ! [X2 : vEBT_VEBT] : (? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1067(X3),bG1068(X4)) = X2 => vEBT_Leaf(bG1067(sK4356(X2)),bG1068(sK4357(X2))) = X2)),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f42968,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1069(X1)) = X0 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1067(X3),bG1068(X4)) = X2) | ~sP2150(X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f42967])).
% 58.08/9.44 tff(f42967,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1069(X1)) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1067(X3),bG1068(X4)) = X0) | ~sP2150(X2,X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37434])).
% 58.08/9.44 tff(f37434,plain,(
% 58.08/9.44 ! [X2 : nat,X1 : nat,X0 : vEBT_VEBT] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),iG1069(X1)) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1067(X3),bG1068(X4)) = X0) | ~sP2150(X2,X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2150])])).
% 58.08/9.44 tff(f101201,plain,(
% 58.08/9.44 spl5880_3898),
% 58.08/9.44 inference(avatar_split_clause,[],[f60429,f101199])).
% 58.08/9.44 tff(f101199,plain,(
% 58.08/9.44 spl5880_3898 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (bot_bot(set(X1)) != sK4286(X1,X0,X2) | ~sP2134(X1,X0,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3898])])).
% 58.08/9.44 tff(f60429,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (bot_bot(set(X1)) != sK4286(X1,X0,X2) | ~sP2134(X1,X0,X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42865])).
% 58.08/9.44 tff(f101197,plain,(
% 58.08/9.44 spl5880_3897),
% 58.08/9.44 inference(avatar_split_clause,[],[f60342,f101195])).
% 58.08/9.44 tff(f101195,plain,(
% 58.08/9.44 spl5880_3897 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK4271(X1,X2,X0,X3),X3) | ~sP2133(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3897])])).
% 58.08/9.44 tff(f60342,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (member(X2,sK4271(X1,X2,X0,X3),X3) | ~sP2133(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42824])).
% 58.08/9.44 tff(f101192,plain,(
% 58.08/9.44 spl5880_3896),
% 58.08/9.44 inference(avatar_split_clause,[],[f60315,f101190])).
% 58.08/9.44 tff(f101190,plain,(
% 58.08/9.44 spl5880_3896 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK4260(X1,X2,X0,X3),X3) | ~sP2127(X1,X2,X0,X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3896])])).
% 58.08/9.44 tff(f60315,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (member(X2,sK4260(X1,X2,X0,X3),X3) | ~sP2127(X1,X2,X0,X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42792])).
% 58.08/9.44 tff(f101188,plain,(
% 58.08/9.44 spl5880_3895),
% 58.08/9.44 inference(avatar_split_clause,[],[f60065,f101186])).
% 58.08/9.44 tff(f101186,plain,(
% 58.08/9.44 spl5880_3895 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : aa(list(X0),nat,size_size(list(X0)),replicate(X0,X1,X2)) = X1),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3895])])).
% 58.08/9.44 tff(f60065,plain,(
% 58.08/9.44 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),replicate(X0,X1,X2)) = X1) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26298])).
% 58.08/9.44 tff(f26298,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : nat,X2 : X0] : aa(list(X0),nat,size_size(list(X0)),replicate(X0,X1,X2)) = X1),
% 58.08/9.44 inference(rectify,[],[f2248])).
% 58.08/9.44 tff(f2248,axiom,(
% 58.08/9.44 ! [X0 : $tType,X8 : nat,X9 : X0] : aa(list(X0),nat,size_size(list(X0)),replicate(X0,X8,X9)) = X8),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2247_length__replicate)).
% 58.08/9.44 tff(f101184,plain,(
% 58.08/9.44 spl5880_3894),
% 58.08/9.44 inference(avatar_split_clause,[],[f60064,f101182])).
% 58.08/9.44 tff(f101182,plain,(
% 58.08/9.44 spl5880_3894 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_adk(X0,option(X1)),X2)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3894])])).
% 58.08/9.44 tff(f60064,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (none(X1) = aa(X0,option(X1),aTP_Lamp_adk(X0,option(X1)),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26297])).
% 58.08/9.44 tff(f26297,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_adk(X0,option(X1)),X2)),
% 58.08/9.44 inference(rectify,[],[f9036])).
% 58.08/9.44 tff(f9036,axiom,(
% 58.08/9.44 ! [X0 : $tType,X2 : $tType,X105 : X0] : aa(X0,option(X2),aTP_Lamp_adk(X0,option(X2)),X105) = none(X2)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9035_ATP_Olambda__855)).
% 58.08/9.44 tff(f101180,plain,(
% 58.08/9.44 spl5880_3893),
% 58.08/9.44 inference(avatar_split_clause,[],[f60063,f101178])).
% 58.08/9.44 tff(f101178,plain,(
% 58.08/9.44 spl5880_3893 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_abl(X0,option(X1)),X2)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3893])])).
% 58.08/9.44 tff(f60063,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (none(X1) = aa(X0,option(X1),aTP_Lamp_abl(X0,option(X1)),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26296])).
% 58.08/9.44 tff(f26296,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_abl(X0,option(X1)),X2)),
% 58.08/9.44 inference(rectify,[],[f9037])).
% 58.08/9.44 tff(f9037,axiom,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X105 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_abl(X0,option(X1)),X105)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9036_ATP_Olambda__856)).
% 58.08/9.44 tff(f101176,plain,(
% 58.08/9.44 spl5880_3892),
% 58.08/9.44 inference(avatar_split_clause,[],[f60062,f101174])).
% 58.08/9.44 tff(f101174,plain,(
% 58.08/9.44 spl5880_3892 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_adw(X0,option(X1)),X2)),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3892])])).
% 58.08/9.44 tff(f60062,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (none(X1) = aa(X0,option(X1),aTP_Lamp_adw(X0,option(X1)),X2)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26295])).
% 58.08/9.44 tff(f26295,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType,X2 : X0] : none(X1) = aa(X0,option(X1),aTP_Lamp_adw(X0,option(X1)),X2)),
% 58.08/9.44 inference(rectify,[],[f9035])).
% 58.08/9.44 tff(f9035,axiom,(
% 58.08/9.44 ! [X1 : $tType,X0 : $tType,X105 : X1] : none(X0) = aa(X1,option(X0),aTP_Lamp_adw(X1,option(X0)),X105)),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9034_ATP_Olambda__854)).
% 58.08/9.44 tff(f101172,plain,(
% 58.08/9.44 spl5880_3891),
% 58.08/9.44 inference(avatar_split_clause,[],[f60061,f101170])).
% 58.08/9.44 tff(f101170,plain,(
% 58.08/9.44 spl5880_3891 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : none(nat) = vEBT_vebt_mint(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3891])])).
% 58.08/9.44 tff(f60061,plain,(
% 58.08/9.44 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (none(nat) = vEBT_vebt_mint(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.44 inference(cnf_transformation,[],[f26294])).
% 58.08/9.44 tff(f26294,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : none(nat) = vEBT_vebt_mint(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.44 inference(rectify,[],[f651])).
% 58.08/9.44 tff(f651,axiom,(
% 58.08/9.44 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT] : none(nat) = vEBT_vebt_mint(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_650_vebt__mint_Osimps_I2_J)).
% 58.08/9.44 tff(f101168,plain,(
% 58.08/9.44 spl5880_3890),
% 58.08/9.44 inference(avatar_split_clause,[],[f59345,f101166])).
% 58.08/9.44 tff(f101166,plain,(
% 58.08/9.44 spl5880_3890 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4164(X0,X1)),X14)) | ~sP2104(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3890])])).
% 58.08/9.44 tff(f59345,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4164(X0,X1)),X14)) | ~sP2104(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42338])).
% 58.08/9.44 tff(f101164,plain,(
% 58.08/9.44 spl5880_3889),
% 58.08/9.44 inference(avatar_split_clause,[],[f59334,f101162])).
% 58.08/9.44 tff(f101162,plain,(
% 58.08/9.44 spl5880_3889 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4157(X0,X1)),X14)) | ~sP2105(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3889])])).
% 58.08/9.44 tff(f59334,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK4157(X0,X1)),X14)) | ~sP2105(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42330])).
% 58.08/9.44 tff(f101160,plain,(
% 58.08/9.44 spl5880_3888),
% 58.08/9.44 inference(avatar_split_clause,[],[f59323,f101158])).
% 58.08/9.44 tff(f101158,plain,(
% 58.08/9.44 spl5880_3888 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2099(sK4146(X0,X1),sK4150(X0,X1),sK4149(X0,X1)) | ~sP2106(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3888])])).
% 58.08/9.44 tff(f59323,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2099(sK4146(X0,X1),sK4150(X0,X1),sK4149(X0,X1)) | ~sP2106(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42322])).
% 58.08/9.44 tff(f101156,plain,(
% 58.08/9.44 spl5880_3887),
% 58.08/9.44 inference(avatar_split_clause,[],[f59322,f101154])).
% 58.08/9.44 tff(f101154,plain,(
% 58.08/9.44 spl5880_3887 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2098(sK4148(X0,X1),sK4146(X0,X1),sK4147(X0,X1)) | ~sP2106(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3887])])).
% 58.08/9.44 tff(f59322,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2098(sK4148(X0,X1),sK4146(X0,X1),sK4147(X0,X1)) | ~sP2106(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42322])).
% 58.08/9.44 tff(f101150,plain,(
% 58.08/9.44 spl5880_3886),
% 58.08/9.44 inference(avatar_split_clause,[],[f59311,f101148])).
% 58.08/9.44 tff(f101148,plain,(
% 58.08/9.44 spl5880_3886 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2103(sK4140(X0,X1),sK4144(X0,X1),sK4143(X0,X1)) | ~sP2107(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3886])])).
% 58.08/9.44 tff(f59311,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2103(sK4140(X0,X1),sK4144(X0,X1),sK4143(X0,X1)) | ~sP2107(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42317])).
% 58.08/9.44 tff(f101146,plain,(
% 58.08/9.44 spl5880_3885),
% 58.08/9.44 inference(avatar_split_clause,[],[f59310,f101144])).
% 58.08/9.44 tff(f101144,plain,(
% 58.08/9.44 spl5880_3885 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2102(sK4142(X0,X1),sK4140(X0,X1),sK4141(X0,X1)) | ~sP2107(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3885])])).
% 58.08/9.44 tff(f59310,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2102(sK4142(X0,X1),sK4140(X0,X1),sK4141(X0,X1)) | ~sP2107(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42317])).
% 58.08/9.44 tff(f101142,plain,(
% 58.08/9.44 spl5880_3884),
% 58.08/9.44 inference(avatar_split_clause,[],[f59281,f101140])).
% 58.08/9.44 tff(f101140,plain,(
% 58.08/9.44 spl5880_3884 <=> ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_max_in_set(X0,X1) | member(nat,sK4134(X0,X1),X0) | ~member(nat,X1,X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3884])])).
% 58.08/9.44 tff(f59281,plain,(
% 58.08/9.44 ( ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_max_in_set(X0,X1) | member(nat,sK4134(X0,X1),X0) | ~member(nat,X1,X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42297])).
% 58.08/9.44 tff(f42297,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_max_in_set(X0,X1) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4134(X0,X1)),X1)) & member(nat,sK4134(X0,X1),X0)) | ~member(nat,X1,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X1)) | ~member(nat,X3,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_max_in_set(X0,X1)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4134])],[f42295,f42296])).
% 58.08/9.44 tff(f42296,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK4134(X0,X1)),X1)) & member(nat,sK4134(X0,X1),X0)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f42295,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_max_in_set(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0)) | ~member(nat,X1,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X1)) | ~member(nat,X3,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_max_in_set(X0,X1)))),
% 58.08/9.44 inference(rectify,[],[f42294])).
% 58.08/9.44 tff(f42294,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_max_in_set(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0)) | ~member(nat,X1,X0)) & ((! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) | ~member(nat,X2,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_max_in_set(X0,X1)))),
% 58.08/9.44 inference(flattening,[],[f42293])).
% 58.08/9.44 tff(f42293,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_max_in_set(X0,X1) | (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0)) | ~member(nat,X1,X0))) & ((! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) | ~member(nat,X2,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_max_in_set(X0,X1)))),
% 58.08/9.44 inference(nnf_transformation,[],[f34941])).
% 58.08/9.44 tff(f34941,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_max_in_set(X0,X1) <=> (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) | ~member(nat,X2,X0)) & member(nat,X1,X0)))),
% 58.08/9.44 inference(ennf_transformation,[],[f16581])).
% 58.08/9.44 tff(f16581,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_max_in_set(X0,X1) <=> (! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & member(nat,X1,X0)))),
% 58.08/9.44 inference(fool_elimination,[],[f16580])).
% 58.08/9.44 tff(f16580,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_max_in_set(X0,X1) <=> (! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X1,X0)))),
% 58.08/9.44 inference(rectify,[],[f180])).
% 58.08/9.44 tff(f180,axiom,(
% 58.08/9.44 ! [X64 : set(nat),X9 : nat] : (vEBT_VEBT_max_in_set(X64,X9) <=> (! [X65 : nat] : (member(nat,X65,X64) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X65),X9)) & member(nat,X9,X64)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_max__in__set__def)).
% 58.08/9.44 tff(f101138,plain,(
% 58.08/9.44 spl5880_3883),
% 58.08/9.44 inference(avatar_split_clause,[],[f59277,f101136])).
% 58.08/9.44 tff(f101136,plain,(
% 58.08/9.44 spl5880_3883 <=> ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_min_in_set(X0,X1) | member(nat,sK4133(X0,X1),X0) | ~member(nat,X1,X0))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3883])])).
% 58.08/9.44 tff(f59277,plain,(
% 58.08/9.44 ( ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_min_in_set(X0,X1) | member(nat,sK4133(X0,X1),X0) | ~member(nat,X1,X0)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f42292])).
% 58.08/9.44 tff(f42292,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_min_in_set(X0,X1) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK4133(X0,X1))) & member(nat,sK4133(X0,X1),X0)) | ~member(nat,X1,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X3)) | ~member(nat,X3,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_min_in_set(X0,X1)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4133])],[f42290,f42291])).
% 58.08/9.44 tff(f42291,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),sK4133(X0,X1))) & member(nat,sK4133(X0,X1),X0)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f42290,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_min_in_set(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)) | ~member(nat,X1,X0)) & ((! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X3)) | ~member(nat,X3,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_min_in_set(X0,X1)))),
% 58.08/9.44 inference(rectify,[],[f42289])).
% 58.08/9.44 tff(f42289,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_min_in_set(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)) | ~member(nat,X1,X0)) & ((! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) | ~member(nat,X2,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_min_in_set(X0,X1)))),
% 58.08/9.44 inference(flattening,[],[f42288])).
% 58.08/9.44 tff(f42288,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : ((vEBT_VEBT_min_in_set(X0,X1) | (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X2,X0)) | ~member(nat,X1,X0))) & ((! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) | ~member(nat,X2,X0)) & member(nat,X1,X0)) | ~vEBT_VEBT_min_in_set(X0,X1)))),
% 58.08/9.44 inference(nnf_transformation,[],[f34940])).
% 58.08/9.44 tff(f34940,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_min_in_set(X0,X1) <=> (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) | ~member(nat,X2,X0)) & member(nat,X1,X0)))),
% 58.08/9.44 inference(ennf_transformation,[],[f16579])).
% 58.08/9.44 tff(f16579,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_min_in_set(X0,X1) <=> (! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) & member(nat,X1,X0)))),
% 58.08/9.44 inference(fool_elimination,[],[f16578])).
% 58.08/9.44 tff(f16578,plain,(
% 58.08/9.44 ! [X0 : set(nat),X1 : nat] : (vEBT_VEBT_min_in_set(X0,X1) <=> (! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) & member(nat,X1,X0)))),
% 58.08/9.44 inference(rectify,[],[f181])).
% 58.08/9.44 tff(f181,axiom,(
% 58.08/9.44 ! [X64 : set(nat),X9 : nat] : (vEBT_VEBT_min_in_set(X64,X9) <=> (! [X65 : nat] : (member(nat,X65,X64) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X9),X65)) & member(nat,X9,X64)))),
% 58.08/9.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_min__in__set__def)).
% 58.08/9.44 tff(f101134,plain,(
% 58.08/9.44 spl5880_3882),
% 58.08/9.44 inference(avatar_split_clause,[],[f58692,f101132])).
% 58.08/9.44 tff(f101132,plain,(
% 58.08/9.44 spl5880_3882 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (sP2078(X1,X2,X0,X3) | member(X2,sK3939(X1,X2,X0,X3),X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3882])])).
% 58.08/9.44 tff(f58692,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (sP2078(X1,X2,X0,X3) | member(X2,sK3939(X1,X2,X0,X3),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41984])).
% 58.08/9.44 tff(f41984,plain,(
% 58.08/9.44 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((sP2078(X1,X2,X0,X3) | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,sK3938(X1,X2,X0,X3))),aa(X2,X1,X0,sK3939(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),sK3938(X1,X2,X0,X3)),sK3939(X1,X2,X0,X3))) & member(X2,sK3939(X1,X2,X0,X3),X3) & member(X2,sK3938(X1,X2,X0,X3),X3))) & (! [X6 : X2,X7 : X2] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,X6)),aa(X2,X1,X0,X7))) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X6),X7)) | ~member(X2,X7,X3) | ~member(X2,X6,X3)) | ~sP2078(X1,X2,X0,X3)))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3938,sK3939])],[f41982,f41983])).
% 58.08/9.44 tff(f41983,plain,(
% 58.08/9.44 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X4),X5)) & member(X2,X5,X3) & member(X2,X4,X3)) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,sK3938(X1,X2,X0,X3))),aa(X2,X1,X0,sK3939(X1,X2,X0,X3)))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),sK3938(X1,X2,X0,X3)),sK3939(X1,X2,X0,X3))) & member(X2,sK3939(X1,X2,X0,X3),X3) & member(X2,sK3938(X1,X2,X0,X3),X3)))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f41982,plain,(
% 58.08/9.44 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((sP2078(X1,X2,X0,X3) | ? [X4 : X2,X5 : X2] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X4),X5)) & member(X2,X5,X3) & member(X2,X4,X3))) & (! [X6 : X2,X7 : X2] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X2,X1,X0,X6)),aa(X2,X1,X0,X7))) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X6),X7)) | ~member(X2,X7,X3) | ~member(X2,X6,X3)) | ~sP2078(X1,X2,X0,X3)))),
% 58.08/9.44 inference(rectify,[],[f41981])).
% 58.08/9.44 tff(f41981,plain,(
% 58.08/9.44 ! [X2 : fun(X1,X0),X0 : $tType,X1 : $tType,X3 : set(X1)] : ((sP2078(X0,X1,X2,X3) | ? [X4 : X1,X5 : X1] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) & member(X1,X5,X3) & member(X1,X4,X3))) & (! [X4 : X1,X5 : X1] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) | ~member(X1,X5,X3) | ~member(X1,X4,X3)) | ~sP2078(X0,X1,X2,X3)))),
% 58.08/9.44 inference(nnf_transformation,[],[f37329])).
% 58.08/9.44 tff(f37329,plain,(
% 58.08/9.44 ! [X2 : fun(X1,X0),X0 : $tType,X1 : $tType,X3 : set(X1)] : (sP2078(X0,X1,X2,X3) <=> ! [X4 : X1,X5 : X1] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) | ~member(X1,X5,X3) | ~member(X1,X4,X3)))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2078])])).
% 58.08/9.44 tff(f101130,plain,(
% 58.08/9.44 spl5880_3881),
% 58.08/9.44 inference(avatar_split_clause,[],[f58691,f101128])).
% 58.08/9.44 tff(f101128,plain,(
% 58.08/9.44 spl5880_3881 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (sP2078(X1,X2,X0,X3) | member(X2,sK3938(X1,X2,X0,X3),X3))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3881])])).
% 58.08/9.44 tff(f58691,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (sP2078(X1,X2,X0,X3) | member(X2,sK3938(X1,X2,X0,X3),X3)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41984])).
% 58.08/9.44 tff(f101126,plain,(
% 58.08/9.44 spl5880_3880),
% 58.08/9.44 inference(avatar_split_clause,[],[f58689,f101124])).
% 58.08/9.44 tff(f101124,plain,(
% 58.08/9.44 spl5880_3880 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X0),X2 : fun(X0,X1)] : (strict_mono_on(X0,X1,X2,X3) | ~sP2078(X1,X0,X2,X3) | ~sP2079(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3880])])).
% 58.08/9.44 tff(f58689,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : set(X0)] : (strict_mono_on(X0,X1,X2,X3) | ~sP2078(X1,X0,X2,X3) | ~sP2079(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41980])).
% 58.08/9.44 tff(f41980,plain,(
% 58.08/9.44 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1),X3 : set(X0)] : ((strict_mono_on(X0,X1,X2,X3) | ~sP2078(X1,X0,X2,X3)) & (sP2078(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3))) | ~sP2079(X0,X1))),
% 58.08/9.44 inference(rectify,[],[f41979])).
% 58.08/9.44 tff(f41979,plain,(
% 58.08/9.44 ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : ((strict_mono_on(X1,X0,X2,X3) | ~sP2078(X0,X1,X2,X3)) & (sP2078(X0,X1,X2,X3) | ~strict_mono_on(X1,X0,X2,X3))) | ~sP2079(X1,X0))),
% 58.08/9.44 inference(nnf_transformation,[],[f37330])).
% 58.08/9.44 tff(f37330,plain,(
% 58.08/9.44 ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> sP2078(X0,X1,X2,X3)) | ~sP2079(X1,X0))),
% 58.08/9.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2079])])).
% 58.08/9.44 tff(f101122,plain,(
% 58.08/9.44 spl5880_3879),
% 58.08/9.44 inference(avatar_split_clause,[],[f58688,f101120])).
% 58.08/9.44 tff(f101120,plain,(
% 58.08/9.44 spl5880_3879 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X0),X2 : fun(X0,X1)] : (sP2078(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3) | ~sP2079(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3879])])).
% 58.08/9.44 tff(f58688,plain,(
% 58.08/9.44 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : set(X0)] : (sP2078(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3) | ~sP2079(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41980])).
% 58.08/9.44 tff(f101118,plain,(
% 58.08/9.44 spl5880_3878),
% 58.08/9.44 inference(avatar_split_clause,[],[f58262,f101116])).
% 58.08/9.44 tff(f101116,plain,(
% 58.08/9.44 spl5880_3878 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG914(sK3830(X0,X1),sK3831(X0,X1)) = X0 | ~sP2062(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3878])])).
% 58.08/9.44 tff(f58262,plain,(
% 58.08/9.44 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG914(sK3830(X0,X1),sK3831(X0,X1)) = X0 | ~sP2062(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41749])).
% 58.08/9.44 tff(f101114,plain,(
% 58.08/9.44 spl5880_3877),
% 58.08/9.44 inference(avatar_split_clause,[],[f58253,f101112])).
% 58.08/9.44 tff(f101112,plain,(
% 58.08/9.44 spl5880_3877 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG910(sK3817(X0,X1),sK3818(X0,X1)) = X0 | ~sP2061(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3877])])).
% 58.08/9.44 tff(f58253,plain,(
% 58.08/9.44 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG910(sK3817(X0,X1),sK3818(X0,X1)) = X0 | ~sP2061(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41736])).
% 58.08/9.44 tff(f101110,plain,(
% 58.08/9.44 spl5880_3876),
% 58.08/9.44 inference(avatar_split_clause,[],[f58247,f101108])).
% 58.08/9.44 tff(f101108,plain,(
% 58.08/9.44 spl5880_3876 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG904(sK3811(X0,X1),sK3810(X0,X1)) = X0 | ~sP2059(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3876])])).
% 58.08/9.44 tff(f58247,plain,(
% 58.08/9.44 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG904(sK3811(X0,X1),sK3810(X0,X1)) = X0 | ~sP2059(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41729])).
% 58.08/9.44 tff(f101106,plain,(
% 58.08/9.44 spl5880_3875),
% 58.08/9.44 inference(avatar_split_clause,[],[f58238,f101104])).
% 58.08/9.44 tff(f101104,plain,(
% 58.08/9.44 spl5880_3875 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG900(sK3798(X0,X1),sK3797(X0,X1)) = X0 | ~sP2058(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3875])])).
% 58.08/9.44 tff(f58238,plain,(
% 58.08/9.44 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (iG900(sK3798(X0,X1),sK3797(X0,X1)) = X0 | ~sP2058(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41716])).
% 58.08/9.44 tff(f101102,plain,(
% 58.08/9.44 spl5880_3874),
% 58.08/9.44 inference(avatar_split_clause,[],[f58065,f101100])).
% 58.08/9.44 tff(f101100,plain,(
% 58.08/9.44 spl5880_3874 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3699(X0,X1)),X9)) | ~sP2036(X0,X1))),
% 58.08/9.44 introduced(avatar_definition,[new_symbols(naming,[spl5880_3874])])).
% 58.08/9.44 tff(f58065,plain,(
% 58.08/9.44 ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3699(X0,X1)),X9)) | ~sP2036(X0,X1)) )),
% 58.08/9.44 inference(cnf_transformation,[],[f41566])).
% 58.08/9.44 tff(f41566,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : vEBT_VEBT] : ((! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3697(X0,X1)))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3699(X0,X1)),X9)) & sK3701(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3698(X0,X1)),sK3700(X0,X1)) & sK3698(X0,X1) = sK3700(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3697(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3700(X0,X1)) & vEBT_invar_vebt(sK3699(X0,X1),sK3700(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK3698(X0,X1)) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3697(X0,X1)))) & sK3701(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3701(X0,X1),sK3697(X0,X1),sK3699(X0,X1)) = X1) | ~sP2036(X0,X1))),
% 58.08/9.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3697,sK3698,sK3699,sK3700,sK3701])],[f41564,f41565])).
% 58.08/9.44 tff(f41565,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) => (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3697(X0,X1)))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3699(X0,X1)),X9)) & sK3701(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3698(X0,X1)),sK3700(X0,X1)) & sK3698(X0,X1) = sK3700(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3697(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3700(X0,X1)) & vEBT_invar_vebt(sK3699(X0,X1),sK3700(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK3698(X0,X1)) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3697(X0,X1)))) & sK3701(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3701(X0,X1),sK3697(X0,X1),sK3699(X0,X1)) = X1))),
% 58.08/9.44 introduced(choice_axiom,[])).
% 58.08/9.44 tff(f41564,plain,(
% 58.08/9.44 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)) | ~member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & ! [X9 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) | ~sP2036(X0,X1))),
% 58.08/9.45 inference(rectify,[],[f41563])).
% 58.08/9.45 tff(f41563,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : list(vEBT_VEBT),X5 : nat,X6 : vEBT_VEBT,X7 : nat,X8 : nat] : (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & ! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X6),X10)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),X7) = X8 & X5 = X7 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X7) & vEBT_invar_vebt(X6,X7) & ! [X9 : vEBT_VEBT] : (vEBT_invar_vebt(X9,X5) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X1 = X8 & vEBT_Node(none(product_prod(nat,nat)),X8,X4,X6) = X0) | ~sP2036(X1,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37262])).
% 58.08/9.45 tff(f37262,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : list(vEBT_VEBT),X5 : nat,X6 : vEBT_VEBT,X7 : nat,X8 : nat] : (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & ! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X6),X10)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),X7) = X8 & X5 = X7 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X7) & vEBT_invar_vebt(X6,X7) & ! [X9 : vEBT_VEBT] : (vEBT_invar_vebt(X9,X5) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))) & X1 = X8 & vEBT_Node(none(product_prod(nat,nat)),X8,X4,X6) = X0) | ~sP2036(X1,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2036])])).
% 58.08/9.45 tff(f101098,plain,(
% 58.08/9.45 spl5880_3873),
% 58.08/9.45 inference(avatar_split_clause,[],[f58056,f101096])).
% 58.08/9.45 tff(f101096,plain,(
% 58.08/9.45 spl5880_3873 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3694(X0,X1)),X9)) | ~sP2037(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3873])])).
% 58.08/9.45 tff(f58056,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(sK3694(X0,X1)),X9)) | ~sP2037(X0,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41562])).
% 58.08/9.45 tff(f101094,plain,(
% 58.08/9.45 spl5880_3872),
% 58.08/9.45 inference(avatar_split_clause,[],[f58044,f101092])).
% 58.08/9.45 tff(f101092,plain,(
% 58.08/9.45 spl5880_3872 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2033(sK3687(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) | ~sP2038(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3872])])).
% 58.08/9.45 tff(f58044,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2033(sK3687(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) | ~sP2038(X0,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41558])).
% 58.08/9.45 tff(f41558,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP2032(sK3691(X0,X1),sK3690(X0,X1),sK3686(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3691(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3689(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3690(X0,X1)),sK3691(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3685(X0,X1)))) | sK3690(X0,X1) != sK3691(X0,X1)) & sP2033(sK3687(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) & sK3689(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3686(X0,X1)),sK3688(X0,X1)) & sK3686(X0,X1) = sK3688(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3685(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3688(X0,X1)) & vEBT_invar_vebt(sK3687(X0,X1),sK3688(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK3686(X0,X1)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3685(X0,X1)))) & sK3689(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3690(X0,X1)),sK3691(X0,X1))),sK3689(X0,X1),sK3685(X0,X1),sK3687(X0,X1)) = X1) | ~sP2038(X0,X1))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3685,sK3686,sK3687,sK3688,sK3689,sK3690,sK3691])],[f41556,f41557])).
% 58.08/9.45 tff(f41557,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP2032(X8,X7,X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X7 != X8) & sP2033(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) => (sP2032(sK3691(X0,X1),sK3690(X0,X1),sK3686(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3691(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3689(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3690(X0,X1)),sK3691(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3685(X0,X1)))) | sK3690(X0,X1) != sK3691(X0,X1)) & sP2033(sK3687(X0,X1),sK3685(X0,X1),sK3688(X0,X1)) & sK3689(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK3686(X0,X1)),sK3688(X0,X1)) & sK3686(X0,X1) = sK3688(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK3685(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK3688(X0,X1)) & vEBT_invar_vebt(sK3687(X0,X1),sK3688(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK3686(X0,X1)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK3685(X0,X1)))) & sK3689(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3690(X0,X1)),sK3691(X0,X1))),sK3689(X0,X1),sK3685(X0,X1),sK3687(X0,X1)) = X1))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f41556,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP2032(X8,X7,X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X7 != X8) & sP2033(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) | ~sP2038(X0,X1))),
% 58.08/9.45 inference(rectify,[],[f41555])).
% 58.08/9.45 tff(f41555,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP2032(X28,X27,X23,X22,X25) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X27),X28)) & (! [X32 : vEBT_VEBT] : (! [X33 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X32),X33)) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22))) | X27 != X28) & sP2033(X24,X22,X25) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X23),X25) = X26 & X23 = X25 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X25) & vEBT_invar_vebt(X24,X25) & ! [X29 : vEBT_VEBT] : (vEBT_invar_vebt(X29,X23) | ~member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22))) & X1 = X26 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X27),X28)),X26,X22,X24) = X0) | ~sP2038(X1,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37264])).
% 58.08/9.45 tff(f37264,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP2032(X28,X27,X23,X22,X25) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X27),X28)) & (! [X32 : vEBT_VEBT] : (! [X33 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X32),X33)) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22))) | X27 != X28) & sP2033(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) | ~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) | ~sP2038(X1,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2038])])).
% 58.08/9.45 tff(f101090,plain,(
% 58.08/9.45 spl5880_3871),
% 58.08/9.45 inference(avatar_split_clause,[],[f58032,f101088])).
% 58.08/9.45 tff(f101088,plain,(
% 58.08/9.45 spl5880_3871 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP2035(sK3680(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) | ~sP2039(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3871])])).
% 58.08/9.45 tff(f58032,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP2035(sK3680(X0,X1),sK3678(X0,X1),sK3681(X0,X1)) | ~sP2039(X0,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41554])).
% 58.08/9.45 tff(f101086,plain,(
% 58.08/9.45 spl5880_3870),
% 58.08/9.45 inference(avatar_split_clause,[],[f58012,f101084])).
% 58.08/9.45 tff(f101084,plain,(
% 58.08/9.45 spl5880_3870 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3670(X0,X1) = X0 | sK3669(X0,X1) = X0 | ~sP2030(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3870])])).
% 58.08/9.45 tff(f58012,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3670(X0,X1) = X0 | sK3669(X0,X1) = X0 | ~sP2030(X0,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41545])).
% 58.08/9.45 tff(f41545,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (((sK3670(X0,X1) = X0 | sK3669(X0,X1) = X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3669(X0,X1)),sK3670(X0,X1))),zero_zero(nat),sK3671(X0,X1),sK3672(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3669(X0,X1)),sK3670(X0,X1))),zero_zero(nat),sK3671(X0,X1),sK3672(X0,X1)) = X1) | ~sP2030(X0,X1))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3669,sK3670,sK3671,sK3672])],[f41543,f41544])).
% 58.08/9.45 tff(f41544,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((X0 = X3 | X0 = X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) => ((sK3670(X0,X1) = X0 | sK3669(X0,X1) = X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3669(X0,X1)),sK3670(X0,X1))),zero_zero(nat),sK3671(X0,X1),sK3672(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3669(X0,X1)),sK3670(X0,X1))),zero_zero(nat),sK3671(X0,X1),sK3672(X0,X1)) = X1))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f41543,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((X0 = X3 | X0 = X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP2030(X0,X1))),
% 58.08/9.45 inference(rectify,[],[f41542])).
% 58.08/9.45 tff(f41542,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((X1 = X3 | X1 = X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5)),X1))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X0) | ~sP2030(X1,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37255])).
% 58.08/9.45 tff(f37255,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((X1 = X3 | X1 = X2) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),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),X2),X3)),zero_zero(nat),X4,X5) = X0) | ~sP2030(X1,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2030])])).
% 58.08/9.45 tff(f101082,plain,(
% 58.08/9.45 spl5880_3869),
% 58.08/9.45 inference(avatar_split_clause,[],[f58002,f101080])).
% 58.08/9.45 tff(f101080,plain,(
% 58.08/9.45 spl5880_3869 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3653(X0,X1) = X0 | sK3652(X0,X1) = X0 | ~sP2029(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3869])])).
% 58.08/9.45 tff(f58002,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3653(X0,X1) = X0 | sK3652(X0,X1) = X0 | ~sP2029(X0,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41531])).
% 58.08/9.45 tff(f41531,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : vEBT_VEBT] : (((sK3653(X0,X1) = X0 | sK3652(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),sK3652(X0,X1)),sK3653(X0,X1))),zero_zero(nat),sK3654(X0,X1),sK3655(X0,X1)) = X1) | ~sP2029(X0,X1))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3652,sK3653,sK3654,sK3655])],[f41528,f41530,f41529])).
% 58.08/9.45 tff(f41529,plain,(
% 58.08/9.45 ! [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) => ((sK3653(X0,X1) = X0 | sK3652(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),sK3652(X0,X1)),sK3653(X0,X1))),zero_zero(nat),X4,X5) = X1))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f41530,plain,(
% 58.08/9.45 ! [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),sK3652(X0,X1)),sK3653(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),sK3652(X0,X1)),sK3653(X0,X1))),zero_zero(nat),sK3654(X0,X1),sK3655(X0,X1)) = X1)),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f41528,plain,(
% 58.08/9.45 ! [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) | ~sP2029(X0,X1))),
% 58.08/9.45 inference(rectify,[],[f41527])).
% 58.08/9.45 tff(f41527,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat] : ((X1 = X3 | X1 = 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) = X0) | ~sP2029(X1,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37253])).
% 58.08/9.45 tff(f37253,plain,(
% 58.08/9.45 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat] : ((X1 = X3 | X1 = 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) = X0) | ~sP2029(X1,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2029])])).
% 58.08/9.45 tff(f101078,plain,(
% 58.08/9.45 spl5880_3868),
% 58.08/9.45 inference(avatar_split_clause,[],[f57904,f101076])).
% 58.08/9.45 tff(f101076,plain,(
% 58.08/9.45 spl5880_3868 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK3553(X1,X2,X0,X3),X3) | ~sP2016(X1,X2,X0,X3))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3868])])).
% 58.08/9.45 tff(f57904,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (member(X2,sK3553(X1,X2,X0,X3),X3) | ~sP2016(X1,X2,X0,X3)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41420])).
% 58.08/9.45 tff(f41420,plain,(
% 58.08/9.45 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((aa(X2,X1,X0,sK3552(X1,X2,X0,X3)) = aa(X2,X1,X0,sK3553(X1,X2,X0,X3)) & member(X2,sK3553(X1,X2,X0,X3),X3) & member(X2,sK3552(X1,X2,X0,X3),X3) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),sK3552(X1,X2,X0,X3)),sK3553(X1,X2,X0,X3)))) | ~sP2016(X1,X2,X0,X3))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3552,sK3553])],[f41418,f41419])).
% 58.08/9.45 tff(f41419,plain,(
% 58.08/9.45 ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (aa(X2,X1,X0,X4) = aa(X2,X1,X0,X5) & member(X2,X5,X3) & member(X2,X4,X3) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X4),X5))) => (aa(X2,X1,X0,sK3552(X1,X2,X0,X3)) = aa(X2,X1,X0,sK3553(X1,X2,X0,X3)) & member(X2,sK3553(X1,X2,X0,X3),X3) & member(X2,sK3552(X1,X2,X0,X3),X3) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),sK3552(X1,X2,X0,X3)),sK3553(X1,X2,X0,X3)))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f41418,plain,(
% 58.08/9.45 ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2,X5 : X2] : (aa(X2,X1,X0,X4) = aa(X2,X1,X0,X5) & member(X2,X5,X3) & member(X2,X4,X3) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X4),X5))) | ~sP2016(X1,X2,X0,X3))),
% 58.08/9.45 inference(rectify,[],[f41417])).
% 58.08/9.45 tff(f41417,plain,(
% 58.08/9.45 ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : set(X1)] : (? [X4 : X1,X5 : X1] : (aa(X1,X0,X3,X5) = aa(X1,X0,X3,X4) & member(X1,X5,X2) & member(X1,X4,X2) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5))) | ~sP2016(X0,X1,X3,X2))),
% 58.08/9.45 inference(nnf_transformation,[],[f37231])).
% 58.08/9.45 tff(f101074,plain,(
% 58.08/9.45 spl5880_3867),
% 58.08/9.45 inference(avatar_split_clause,[],[f57903,f101072])).
% 58.08/9.45 tff(f101072,plain,(
% 58.08/9.45 spl5880_3867 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (member(X2,sK3552(X1,X2,X0,X3),X3) | ~sP2016(X1,X2,X0,X3))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3867])])).
% 58.08/9.45 tff(f57903,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (member(X2,sK3552(X1,X2,X0,X3),X3) | ~sP2016(X1,X2,X0,X3)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41420])).
% 58.08/9.45 tff(f101070,plain,(
% 58.08/9.45 spl5880_3866),
% 58.08/9.45 inference(avatar_split_clause,[],[f57864,f101068])).
% 58.08/9.45 tff(f101068,plain,(
% 58.08/9.45 spl5880_3866 <=> ! [X1 : $tType,X0 : $tType,X4 : list(X1),X3 : X1,X2 : fun(X1,X0)] : (distinct(X1,X4) | ~distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) | ~linorder(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3866])])).
% 58.08/9.45 tff(f57864,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X1,X4 : list(X1)] : (distinct(X1,X4) | ~distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) | ~linorder(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f41399])).
% 58.08/9.45 tff(f41399,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X1,X4 : list(X1)] : ((distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) | ~distinct(X1,X4) | member(X1,X3,aa(list(X1),set(X1),set2(X1),X4))) & ((distinct(X1,X4) & ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X4))) | ~distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)))) | ~linorder(X0))),
% 58.08/9.45 inference(flattening,[],[f41398])).
% 58.08/9.45 tff(f41398,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X1,X4 : list(X1)] : ((distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) | (~distinct(X1,X4) | member(X1,X3,aa(list(X1),set(X1),set2(X1),X4)))) & ((distinct(X1,X4) & ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X4))) | ~distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)))) | ~linorder(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f33662])).
% 58.08/9.45 tff(f33662,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X1,X4 : list(X1)] : (distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) <=> (distinct(X1,X4) & ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X4)))) | ~linorder(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f25916])).
% 58.08/9.45 tff(f25916,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : fun(X1,X0),X3 : X1,X4 : list(X1)] : (distinct(X1,linorder_insort_key(X1,X0,X2,X3,X4)) <=> (distinct(X1,X4) & ~member(X1,X3,aa(list(X1),set(X1),set2(X1),X4)))))),
% 58.08/9.45 inference(rectify,[],[f7152])).
% 58.08/9.45 tff(f7152,axiom,(
% 58.08/9.45 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X30 : fun(X0,X1),X9 : X0,X64 : list(X0)] : (distinct(X0,linorder_insort_key(X0,X1,X30,X9,X64)) <=> (distinct(X0,X64) & ~member(X0,X9,aa(list(X0),set(X0),set2(X0),X64)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7151_distinct__insort)).
% 58.08/9.45 tff(f101066,plain,(
% 58.08/9.45 spl5880_3865),
% 58.08/9.45 inference(avatar_split_clause,[],[f57708,f101064])).
% 58.08/9.45 tff(f101064,plain,(
% 58.08/9.45 spl5880_3865 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X0),X2 : fun(X0,X1)] : (groups1962203154675924110t_prod(X0,X1,X2,X3) = iG773(X1,X0,X3,X2) | ~comm_monoid_mult(X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3865])])).
% 58.08/9.45 tff(f57708,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : set(X0)] : (groups1962203154675924110t_prod(X0,X1,X2,X3) = iG773(X1,X0,X3,X2) | ~comm_monoid_mult(X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f33546])).
% 58.08/9.45 tff(f33546,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1),X3 : set(X0)] : groups1962203154675924110t_prod(X0,X1,X2,X3) = iG773(X1,X0,X3,X2) | ~comm_monoid_mult(X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f15166])).
% 58.08/9.45 tff(f15166,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : fun(X0,X1),X3 : set(X0)] : groups1962203154675924110t_prod(X0,X1,X2,X3) = iG773(X1,X0,X3,X2))),
% 58.08/9.45 inference(fool_elimination,[],[f15164,f15165])).
% 58.08/9.45 tff(f15165,plain,(
% 58.08/9.45 ! [X1 : $tType,X3 : set(X0),X2 : fun(X0,X1),X0 : $tType] : (~finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_abd(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) => one_one(X1) = iG773(X1,X0,X3,X2)) & ! [X1 : $tType,X3 : set(X0),X2 : fun(X0,X1),X0 : $tType] : (finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_abd(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) => aa(set(X0),X1,aa(fun(X0,X1),fun(set(X0),X1),groups7121269368397514597t_prod(X0,X1),X2),aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_abd(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) = iG773(X1,X0,X3,X2))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG773])])).
% 58.08/9.45 tff(f15164,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : fun(X0,X1),X3 : set(X0)] : groups1962203154675924110t_prod(X0,X1,X2,X3) = $ite(finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_abd(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))), aa(set(X0),X1,aa(fun(X0,X1),fun(set(X0),X1),groups7121269368397514597t_prod(X0,X1),X2),aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_abd(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))),one_one(X1)))),
% 58.08/9.45 inference(rectify,[],[f7132])).
% 58.08/9.45 tff(f7132,axiom,(
% 58.08/9.45 ! [X1 : $tType,X0 : $tType] : (comm_monoid_mult(X0) => ! [X83 : fun(X1,X0),X224 : set(X1)] : groups1962203154675924110t_prod(X1,X0,X83,X224) = $ite(finite_finite(X1,aa(fun(X1,$o),set(X1),collect(X1),aa(set(X1),fun(X1,$o),aTP_Lamp_abd(fun(X1,X0),fun(set(X1),fun(X1,$o)),X83),X224))), aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X83),aa(fun(X1,$o),set(X1),collect(X1),aa(set(X1),fun(X1,$o),aTP_Lamp_abd(fun(X1,X0),fun(set(X1),fun(X1,$o)),X83),X224))),one_one(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7131_prod_OG__def)).
% 58.08/9.45 tff(f101062,plain,(
% 58.08/9.45 spl5880_3864),
% 58.08/9.45 inference(avatar_split_clause,[],[f57186,f101060])).
% 58.08/9.45 tff(f101060,plain,(
% 58.08/9.45 spl5880_3864 <=> ! [X0 : int,X1 : int] : gcd_gcd(int,X0,X1) = aa(int,int,abs_abs(int),iG640(X1,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3864])])).
% 58.08/9.45 tff(f57186,plain,(
% 58.08/9.45 ( ! [X0 : int,X1 : int] : (gcd_gcd(int,X0,X1) = aa(int,int,abs_abs(int),iG640(X1,X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14621])).
% 58.08/9.45 tff(f14621,plain,(
% 58.08/9.45 ! [X0 : int,X1 : int] : gcd_gcd(int,X0,X1) = aa(int,int,abs_abs(int),iG640(X1,X0))),
% 58.08/9.45 inference(fool_elimination,[],[f14619,f14620])).
% 58.08/9.45 tff(f14620,plain,(
% 58.08/9.45 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => gcd_gcd(int,X1,modulo_modulo(int,aa(int,int,abs_abs(int),X0),aa(int,int,abs_abs(int),X1))) = iG640(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG640(X1,X0) = X0)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG640])])).
% 58.08/9.45 tff(f14619,plain,(
% 58.08/9.45 ! [X0 : int,X1 : int] : gcd_gcd(int,X0,X1) = aa(int,int,abs_abs(int),$ite(zero_zero(int) = X1, X0,gcd_gcd(int,X1,modulo_modulo(int,aa(int,int,abs_abs(int),X0),aa(int,int,abs_abs(int),X1)))))),
% 58.08/9.45 inference(rectify,[],[f5640])).
% 58.08/9.45 tff(f5640,axiom,(
% 58.08/9.45 ! [X24 : int,X14 : int] : gcd_gcd(int,X24,X14) = aa(int,int,abs_abs(int),$ite(zero_zero(int) = X14, X24,gcd_gcd(int,X14,modulo_modulo(int,aa(int,int,abs_abs(int),X24),aa(int,int,abs_abs(int),X14)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5639_gcd__code__int)).
% 58.08/9.45 tff(f101058,plain,(
% 58.08/9.45 spl5880_3863),
% 58.08/9.45 inference(avatar_split_clause,[],[f57185,f101056])).
% 58.08/9.45 tff(f101056,plain,(
% 58.08/9.45 spl5880_3863 <=> ! [X0 : code_integer,X1 : code_integer] : gcd_gcd(code_integer,X0,X1) = aa(code_integer,code_integer,abs_abs(code_integer),iG639(X1,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3863])])).
% 58.08/9.45 tff(f57185,plain,(
% 58.08/9.45 ( ! [X0 : code_integer,X1 : code_integer] : (gcd_gcd(code_integer,X0,X1) = aa(code_integer,code_integer,abs_abs(code_integer),iG639(X1,X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14618])).
% 58.08/9.45 tff(f14618,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : gcd_gcd(code_integer,X0,X1) = aa(code_integer,code_integer,abs_abs(code_integer),iG639(X1,X0))),
% 58.08/9.45 inference(fool_elimination,[],[f14616,f14617])).
% 58.08/9.45 tff(f14617,plain,(
% 58.08/9.45 ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => gcd_gcd(code_integer,X1,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X0),aa(code_integer,code_integer,abs_abs(code_integer),X1))) = iG639(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => iG639(X1,X0) = X0)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG639])])).
% 58.08/9.45 tff(f14616,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : gcd_gcd(code_integer,X0,X1) = aa(code_integer,code_integer,abs_abs(code_integer),$ite(zero_zero(code_integer) = X1, X0,gcd_gcd(code_integer,X1,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X0),aa(code_integer,code_integer,abs_abs(code_integer),X1)))))),
% 58.08/9.45 inference(rectify,[],[f5686])).
% 58.08/9.45 tff(f5686,axiom,(
% 58.08/9.45 ! [X24 : code_integer,X14 : code_integer] : gcd_gcd(code_integer,X24,X14) = aa(code_integer,code_integer,abs_abs(code_integer),$ite(zero_zero(code_integer) = X14, X24,gcd_gcd(code_integer,X14,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X24),aa(code_integer,code_integer,abs_abs(code_integer),X14)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5685_gcd__code__integer)).
% 58.08/9.45 tff(f101054,plain,(
% 58.08/9.45 spl5880_3862),
% 58.08/9.45 inference(avatar_split_clause,[],[f56085,f101052])).
% 58.08/9.45 tff(f101052,plain,(
% 58.08/9.45 spl5880_3862 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3862])])).
% 58.08/9.45 tff(f56085,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f32820])).
% 58.08/9.45 tff(f32820,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0))),
% 58.08/9.45 inference(flattening,[],[f32819])).
% 58.08/9.45 tff(f32819,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | (~comm_semiring_1(X0) | ~semiring_char_0(X0)))),
% 58.08/9.45 inference(ennf_transformation,[],[f25165])).
% 58.08/9.45 tff(f25165,plain,(
% 58.08/9.45 ! [X0 : $tType] : ((comm_semiring_1(X0) & semiring_char_0(X0)) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1))),
% 58.08/9.45 inference(rectify,[],[f4165])).
% 58.08/9.45 tff(f4165,axiom,(
% 58.08/9.45 ! [X0 : $tType] : ((comm_semiring_1(X0) & semiring_char_0(X0)) => ! [X8 : nat] : semiring_char_0_fact(X0,X8) = comm_s3205402744901411588hammer(X0,one_one(X0),X8))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4164_pochhammer__fact)).
% 58.08/9.45 tff(f101050,plain,(
% 58.08/9.45 spl5880_3861),
% 58.08/9.45 inference(avatar_split_clause,[],[f55976,f101048])).
% 58.08/9.45 tff(f101048,plain,(
% 58.08/9.45 spl5880_3861 <=> ! [X0 : $tType,X2 : int,X1 : X0] : (power_int(X0,X1,X2) = iG575(X0,X2,X1) | ~power(X0) | ~inverse(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3861])])).
% 58.08/9.45 tff(f55976,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : int,X1 : X0] : (power_int(X0,X1,X2) = iG575(X0,X2,X1) | ~power(X0) | ~inverse(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f32660])).
% 58.08/9.45 tff(f32660,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : int] : power_int(X0,X1,X2) = iG575(X0,X2,X1) | ~power(X0) | ~inverse(X0))),
% 58.08/9.45 inference(flattening,[],[f32659])).
% 58.08/9.45 tff(f32659,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : int] : power_int(X0,X1,X2) = iG575(X0,X2,X1) | (~power(X0) | ~inverse(X0)))),
% 58.08/9.45 inference(ennf_transformation,[],[f13690])).
% 58.08/9.45 tff(f13690,plain,(
% 58.08/9.45 ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X1 : X0,X2 : int] : power_int(X0,X1,X2) = iG575(X0,X2,X1))),
% 58.08/9.45 inference(fool_elimination,[],[f13688,f13689])).
% 58.08/9.45 tff(f13689,plain,(
% 58.08/9.45 ! [X0 : $tType,X2 : int,X1 : X0] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(int,nat,nat2,aa(int,int,uminus_uminus(int),X2))) = iG575(X0,X2,X1)) & ! [X0 : $tType,X2 : int,X1 : X0] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(int,nat,nat2,X2)) = iG575(X0,X2,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG575])])).
% 58.08/9.45 tff(f13688,plain,(
% 58.08/9.45 ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X1 : X0,X2 : int] : power_int(X0,X1,X2) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2), aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(int,nat,nat2,X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(int,nat,nat2,aa(int,int,uminus_uminus(int),X2)))))),
% 58.08/9.45 inference(rectify,[],[f7061])).
% 58.08/9.45 tff(f7061,axiom,(
% 58.08/9.45 ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X9 : X0,X8 : int] : power_int(X0,X9,X8) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X8), aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X9),aa(int,nat,nat2,X8)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(X0,X0,inverse_inverse(X0),X9)),aa(int,nat,nat2,aa(int,int,uminus_uminus(int),X8)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7060_power__int__def)).
% 58.08/9.45 tff(f101046,plain,(
% 58.08/9.45 spl5880_3860),
% 58.08/9.45 inference(avatar_split_clause,[],[f55720,f101044])).
% 58.08/9.45 tff(f101044,plain,(
% 58.08/9.45 spl5880_3860 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : X1] : (order_mono(nat,X1,sK3034(X1,X0,X2,X3)) | ~sP1991(X1,X0,X2,X3))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3860])])).
% 58.08/9.45 tff(f55720,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,$o)] : (order_mono(nat,X1,sK3034(X1,X0,X2,X3)) | ~sP1991(X1,X0,X2,X3)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40477])).
% 58.08/9.45 tff(f101042,plain,(
% 58.08/9.45 spl5880_3859),
% 58.08/9.45 inference(avatar_split_clause,[],[f55714,f101040])).
% 58.08/9.45 tff(f101040,plain,(
% 58.08/9.45 spl5880_3859 <=> ! [X1 : $tType,X0 : fun(X1,$o),X3 : X1,X2 : X1] : (order_antimono(nat,X1,sK3033(X1,X0,X2,X3)) | ~sP1990(X1,X0,X2,X3))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3859])])).
% 58.08/9.45 tff(f55714,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,$o)] : (order_antimono(nat,X1,sK3033(X1,X0,X2,X3)) | ~sP1990(X1,X0,X2,X3)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40473])).
% 58.08/9.45 tff(f101038,plain,(
% 58.08/9.45 spl5880_3858),
% 58.08/9.45 inference(avatar_split_clause,[],[f54837,f101036])).
% 58.08/9.45 tff(f54837,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = iG547(X0,X1) | ~semiring_1(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f31557])).
% 58.08/9.45 tff(f31557,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = iG547(X0,X1) | ~semiring_1(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f12752])).
% 58.08/9.45 tff(f12752,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = iG547(X0,X1))),
% 58.08/9.45 inference(fool_elimination,[],[f12750,f12751])).
% 58.08/9.45 tff(f12750,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(num,X0,numeral_numeral(X0),num_of_nat(X1)) = $ite(zero_zero(nat) = X1, one_one(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 58.08/9.45 inference(rectify,[],[f7103])).
% 58.08/9.45 tff(f7103,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : aa(num,X0,numeral_numeral(X0),num_of_nat(X8)) = $ite(zero_zero(nat) = X8, one_one(X0),aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7102_numeral__num__of__nat__unfold)).
% 58.08/9.45 tff(f101034,plain,(
% 58.08/9.45 spl5880_3857),
% 58.08/9.45 inference(avatar_split_clause,[],[f54485,f101032])).
% 58.08/9.45 tff(f101032,plain,(
% 58.08/9.45 spl5880_3857 <=> ! [X0 : $tType,X1 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG502(X1)) = iG503(X0,X1) | ~zero_neq_one(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3857])])).
% 58.08/9.45 tff(f54485,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : $o] : (aa($o,X0,zero_neq_one_of_bool(X0),bG502(X1)) = iG503(X0,X1) | ~zero_neq_one(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f31236])).
% 58.08/9.45 tff(f31236,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : $o] : aa($o,X0,zero_neq_one_of_bool(X0),bG502(X1)) = iG503(X0,X1) | ~zero_neq_one(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f12574])).
% 58.08/9.45 tff(f12574,plain,(
% 58.08/9.45 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : aa($o,X0,zero_neq_one_of_bool(X0),bG502(X1)) = iG503(X0,X1))),
% 58.08/9.45 inference(fool_elimination,[],[f12571,f12573,f12572])).
% 58.08/9.45 tff(f12572,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG502(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG502])])).
% 58.08/9.45 tff(f12573,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : $o] : (~($true = X1) => zero_zero(X0) = iG503(X0,X1)) & ! [X0 : $tType,X1 : $o] : (($true = X1) => one_one(X0) = iG503(X0,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG503])])).
% 58.08/9.45 tff(f12571,plain,(
% 58.08/9.45 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : $o] : aa($o,X0,zero_neq_one_of_bool(X0),X1) = $ite(X1, one_one(X0),zero_zero(X0)))),
% 58.08/9.45 inference(rectify,[],[f2286])).
% 58.08/9.45 tff(f2286,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X83 : $o] : aa($o,X0,zero_neq_one_of_bool(X0),X83) = $ite(X83, one_one(X0),zero_zero(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2285_of__bool__def)).
% 58.08/9.45 tff(f101030,plain,(
% 58.08/9.45 spl5880_3856),
% 58.08/9.45 inference(avatar_split_clause,[],[f54375,f101028])).
% 58.08/9.45 tff(f101028,plain,(
% 58.08/9.45 spl5880_3856 <=> ! [X1 : $tType,X4 : X1,X0 : set(X1)] : (topolo1002775350975398744n_open(X1,sK2817(X1,X0,X4)) | ~member(X1,X4,X0) | ~sP1954(X1,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3856])])).
% 58.08/9.45 tff(f54375,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X0 : set(X1),X4 : X1] : (topolo1002775350975398744n_open(X1,sK2817(X1,X0,X4)) | ~member(X1,X4,X0) | ~sP1954(X1,X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39872])).
% 58.08/9.45 tff(f101026,plain,(
% 58.08/9.45 spl5880_3855),
% 58.08/9.45 inference(avatar_split_clause,[],[f54365,f101024])).
% 58.08/9.45 tff(f101024,plain,(
% 58.08/9.45 spl5880_3855 <=> ! [X0 : $tType,X1 : set(X0),X3 : set(X0)] : (sP1952(X0,X1) | topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,sK2813(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3855])])).
% 58.08/9.45 tff(f54365,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X3 : set(X0),X1 : set(X0)] : (sP1952(X0,X1) | topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,sK2813(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39862])).
% 58.08/9.45 tff(f39862,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(X0)] : ((sP1952(X0,X1) | (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)),sK2813(X0,X1))) & ~sP1951(X0,X1,sK2813(X0,X1)) & ! [X3 : set(X0)] : (topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,sK2813(X0,X1))))) & (! [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)) | sP1951(X0,X1,X4) | (~topolo7761053866217962861closed(X0,sK2814(X0,X4)) & member(set(X0),sK2814(X0,X4),X4))) | ~sP1952(X0,X1)))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2813,sK2814])],[f39859,f39861,f39860])).
% 58.08/9.45 tff(f39860,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(X0)] : (? [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)) & ~sP1951(X0,X1,X2) & ! [X3 : set(X0)] : (topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,X2))) => (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)),sK2813(X0,X1))) & ~sP1951(X0,X1,sK2813(X0,X1)) & ! [X3 : set(X0)] : (topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,sK2813(X0,X1)))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f39861,plain,(
% 58.08/9.45 ! [X0 : $tType,X4 : set(set(X0))] : (? [X5 : set(X0)] : (~topolo7761053866217962861closed(X0,X5) & member(set(X0),X5,X4)) => (~topolo7761053866217962861closed(X0,sK2814(X0,X4)) & member(set(X0),sK2814(X0,X4),X4)))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f39859,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(X0)] : ((sP1952(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)) & ~sP1951(X0,X1,X2) & ! [X3 : set(X0)] : (topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,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)) | sP1951(X0,X1,X4) | ? [X5 : set(X0)] : (~topolo7761053866217962861closed(X0,X5) & member(set(X0),X5,X4))) | ~sP1952(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f39858])).
% 58.08/9.45 tff(f39858,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(X0)] : ((sP1952(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)) & ~sP1951(X0,X1,X2) & ! [X3 : set(X0)] : (topolo7761053866217962861closed(X0,X3) | ~member(set(X0),X3,X2)))) & (! [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)) | sP1951(X0,X1,X2) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & member(set(X0),X3,X2))) | ~sP1952(X0,X1)))),
% 58.08/9.45 inference(nnf_transformation,[],[f37125])).
% 58.08/9.45 tff(f37125,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(X0)] : (sP1952(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)) | sP1951(X0,X1,X2) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & member(set(X0),X3,X2))))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1952])])).
% 58.08/9.45 tff(f101022,plain,(
% 58.08/9.45 spl5880_3854),
% 58.08/9.45 inference(avatar_split_clause,[],[f54353,f101020])).
% 58.08/9.45 tff(f101020,plain,(
% 58.08/9.45 spl5880_3854 <=> ! [X1 : $tType,X0 : set(X1),X3 : set(X1)] : (sP1949(X1,X0) | topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,sK2810(X1,X0)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3854])])).
% 58.08/9.45 tff(f54353,plain,(
% 58.08/9.45 ( ! [X1 : $tType,X3 : set(X1),X0 : set(X1)] : (sP1949(X1,X0) | topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,sK2810(X1,X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39852])).
% 58.08/9.45 tff(f39852,plain,(
% 58.08/9.45 ! [X0 : set(X1),X1 : $tType] : ((sP1949(X1,X0) | (~sP1948(X1,X0,sK2810(X1,X0)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),sK2810(X1,X0)))) & ! [X3 : set(X1)] : (topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,sK2810(X1,X0))))) & (! [X4 : set(set(X1))] : (sP1948(X1,X0,X4) | ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),X4))) | (~topolo1002775350975398744n_open(X1,sK2811(X1,X4)) & member(set(X1),sK2811(X1,X4),X4))) | ~sP1949(X1,X0)))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2810,sK2811])],[f39849,f39851,f39850])).
% 58.08/9.45 tff(f39850,plain,(
% 58.08/9.45 ! [X1 : $tType,X0 : set(X1)] : (? [X2 : set(set(X1))] : (~sP1948(X1,X0,X2) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),X2))) & ! [X3 : set(X1)] : (topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,X2))) => (~sP1948(X1,X0,sK2810(X1,X0)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),sK2810(X1,X0)))) & ! [X3 : set(X1)] : (topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,sK2810(X1,X0)))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f39851,plain,(
% 58.08/9.45 ! [X1 : $tType,X4 : set(set(X1))] : (? [X5 : set(X1)] : (~topolo1002775350975398744n_open(X1,X5) & member(set(X1),X5,X4)) => (~topolo1002775350975398744n_open(X1,sK2811(X1,X4)) & member(set(X1),sK2811(X1,X4),X4)))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f39849,plain,(
% 58.08/9.45 ! [X0 : set(X1),X1 : $tType] : ((sP1949(X1,X0) | ? [X2 : set(set(X1))] : (~sP1948(X1,X0,X2) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),X2))) & ! [X3 : set(X1)] : (topolo1002775350975398744n_open(X1,X3) | ~member(set(X1),X3,X2)))) & (! [X4 : set(set(X1))] : (sP1948(X1,X0,X4) | ($true != aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X0),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),X4))) | ? [X5 : set(X1)] : (~topolo1002775350975398744n_open(X1,X5) & member(set(X1),X5,X4))) | ~sP1949(X1,X0)))),
% 58.08/9.45 inference(rectify,[],[f39848])).
% 58.08/9.45 tff(f39848,plain,(
% 58.08/9.45 ! [X1 : set(X0),X0 : $tType] : ((sP1949(X0,X1) | ? [X2 : set(set(X0))] : (~sP1948(X0,X1,X2) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) | ~member(set(X0),X3,X2)))) & (! [X2 : set(set(X0))] : (sP1948(X0,X1,X2) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) & member(set(X0),X3,X2))) | ~sP1949(X0,X1)))),
% 58.08/9.45 inference(nnf_transformation,[],[f37121])).
% 58.08/9.45 tff(f37121,plain,(
% 58.08/9.45 ! [X1 : set(X0),X0 : $tType] : (sP1949(X0,X1) <=> ! [X2 : set(set(X0))] : (sP1948(X0,X1,X2) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) & member(set(X0),X3,X2))))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1949])])).
% 58.08/9.45 tff(f101018,plain,(
% 58.08/9.45 spl5880_3853),
% 58.08/9.45 inference(avatar_split_clause,[],[f54183,f101016])).
% 58.08/9.45 tff(f101016,plain,(
% 58.08/9.45 spl5880_3853 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~semidom_divide(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3853])])).
% 58.08/9.45 tff(f54183,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~semidom_divide(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f30992])).
% 58.08/9.45 tff(f30992,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1) | ~semidom_divide(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f24494])).
% 58.08/9.45 tff(f24494,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = divide_divide(X0,X1,X1)))),
% 58.08/9.45 inference(rectify,[],[f939])).
% 58.08/9.45 tff(f939,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_divide(X0) => ! [X11 : X0] : (zero_zero(X0) != X11 => one_one(X0) = divide_divide(X0,X11,X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_938_div__self)).
% 58.08/9.45 tff(f101014,plain,(
% 58.08/9.45 spl5880_3852),
% 58.08/9.45 inference(avatar_split_clause,[],[f54152,f101012])).
% 58.08/9.45 tff(f101012,plain,(
% 58.08/9.45 spl5880_3852 <=> ! [X0 : $tType,X1 : X0] : (order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3852])])).
% 58.08/9.45 tff(f54152,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f30960])).
% 58.08/9.45 tff(f30960,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f24479])).
% 58.08/9.45 tff(f24479,plain,(
% 58.08/9.45 ! [X0 : $tType] : (ordere6658533253407199908up_add(X0) => ! [X1 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)))),
% 58.08/9.45 inference(rectify,[],[f6885])).
% 58.08/9.45 tff(f6885,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (ordere6658533253407199908up_add(X0) => ! [X11 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6884_mono__add)).
% 58.08/9.45 tff(f101010,plain,(
% 58.08/9.45 spl5880_3851),
% 58.08/9.45 inference(avatar_split_clause,[],[f52714,f101008])).
% 58.08/9.45 tff(f101008,plain,(
% 58.08/9.45 spl5880_3851 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3851])])).
% 58.08/9.45 tff(f52714,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29865])).
% 58.08/9.45 tff(f29865,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f24001])).
% 58.08/9.45 tff(f24001,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),zero_zero(X0)))),
% 58.08/9.45 inference(rectify,[],[f2920])).
% 58.08/9.45 tff(f2920,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X8),zero_zero(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2919_take__bit__of__0)).
% 58.08/9.45 tff(f101006,plain,(
% 58.08/9.45 spl5880_3850),
% 58.08/9.45 inference(avatar_split_clause,[],[f52713,f101004])).
% 58.08/9.45 tff(f101004,plain,(
% 58.08/9.45 spl5880_3850 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3850])])).
% 58.08/9.45 tff(f52713,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29864])).
% 58.08/9.45 tff(f29864,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f24000])).
% 58.08/9.45 tff(f24000,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)))),
% 58.08/9.45 inference(rectify,[],[f4971])).
% 58.08/9.45 tff(f4971,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X8),zero_zero(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4970_push__bit__of__0)).
% 58.08/9.45 tff(f101002,plain,(
% 58.08/9.45 spl5880_3849),
% 58.08/9.45 inference(avatar_split_clause,[],[f52712,f101000])).
% 58.08/9.45 tff(f101000,plain,(
% 58.08/9.45 spl5880_3849 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3849])])).
% 58.08/9.45 tff(f52712,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29863])).
% 58.08/9.45 tff(f29863,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23999])).
% 58.08/9.45 tff(f23999,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)))),
% 58.08/9.45 inference(rectify,[],[f5526])).
% 58.08/9.45 tff(f5526,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),zero_zero(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5525_drop__bit__of__0)).
% 58.08/9.45 tff(f100998,plain,(
% 58.08/9.45 spl5880_3848),
% 58.08/9.45 inference(avatar_split_clause,[],[f52685,f100996])).
% 58.08/9.45 tff(f100996,plain,(
% 58.08/9.45 spl5880_3848 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = X3 | ~iG438(X0,X2,X3,X1) | ~division_ring(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3848])])).
% 58.08/9.45 tff(f52685,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = X3 | ~iG438(X0,X2,X3,X1) | ~division_ring(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39324])).
% 58.08/9.45 tff(f39324,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = X3 | ~iG438(X0,X2,X3,X1)) & (iG438(X0,X2,X3,X1) | divide_divide(X0,X1,X2) != X3)) | ~division_ring(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f29846])).
% 58.08/9.45 tff(f29846,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> iG438(X0,X2,X3,X1)) | ~division_ring(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f11299])).
% 58.08/9.45 tff(f11299,plain,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> iG438(X0,X2,X3,X1)))),
% 58.08/9.45 inference(fool_elimination,[],[f11297,f11298])).
% 58.08/9.45 tff(f11298,plain,(
% 58.08/9.45 ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != X2 => (iG438(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != X2 => (iG438(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG438])])).
% 58.08/9.45 tff(f11297,plain,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> $ite(zero_zero(X0) != X2, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1,zero_zero(X0) = X3)))),
% 58.08/9.45 inference(rectify,[],[f1230])).
% 58.08/9.45 tff(f1230,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X12 : X0,X17 : X0,X11 : X0] : (divide_divide(X0,X12,X17) = X11 <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17) = X12,zero_zero(X0) = X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1229_divide__eq__eq)).
% 58.08/9.45 tff(f100994,plain,(
% 58.08/9.45 spl5880_3847),
% 58.08/9.45 inference(avatar_split_clause,[],[f52683,f100992])).
% 58.08/9.45 tff(f100992,plain,(
% 58.08/9.45 spl5880_3847 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X3) = X1 | ~iG437(X0,X3,X1,X2) | ~division_ring(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3847])])).
% 58.08/9.45 tff(f52683,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X2,X3) = X1 | ~iG437(X0,X3,X1,X2) | ~division_ring(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39323])).
% 58.08/9.45 tff(f39323,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X2,X3) = X1 | ~iG437(X0,X3,X1,X2)) & (iG437(X0,X3,X1,X2) | divide_divide(X0,X2,X3) != X1)) | ~division_ring(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f29845])).
% 58.08/9.45 tff(f29845,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> iG437(X0,X3,X1,X2)) | ~division_ring(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f11296])).
% 58.08/9.45 tff(f11296,plain,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> iG437(X0,X3,X1,X2)))),
% 58.08/9.45 inference(fool_elimination,[],[f11294,f11295])).
% 58.08/9.45 tff(f11295,plain,(
% 58.08/9.45 ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != X3 => (iG437(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X3 => (iG437(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG437])])).
% 58.08/9.45 tff(f11294,plain,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> $ite(zero_zero(X0) != X3, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2,zero_zero(X0) = X1)))),
% 58.08/9.45 inference(rectify,[],[f1229])).
% 58.08/9.45 tff(f1229,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0,X12 : X0,X17 : X0] : (divide_divide(X0,X12,X17) = X11 <=> $ite(zero_zero(X0) != X17, aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17) = X12,zero_zero(X0) = X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1228_eq__divide__eq)).
% 58.08/9.45 tff(f100990,plain,(
% 58.08/9.45 spl5880_3846),
% 58.08/9.45 inference(avatar_split_clause,[],[f52605,f100988])).
% 58.08/9.45 tff(f100988,plain,(
% 58.08/9.45 spl5880_3846 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3846])])).
% 58.08/9.45 tff(f52605,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29770])).
% 58.08/9.45 tff(f29770,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23939])).
% 58.08/9.45 tff(f23939,plain,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = divide_divide(X0,X1,X1)))),
% 58.08/9.45 inference(rectify,[],[f945])).
% 58.08/9.45 tff(f945,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : (zero_zero(X0) != X11 => one_one(X0) = divide_divide(X0,X11,X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_944_divide__self)).
% 58.08/9.45 tff(f100986,plain,(
% 58.08/9.45 spl5880_3845),
% 58.08/9.45 inference(avatar_split_clause,[],[f52438,f100984])).
% 58.08/9.45 tff(f100984,plain,(
% 58.08/9.45 spl5880_3845 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3845])])).
% 58.08/9.45 tff(f52438,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29616])).
% 58.08/9.45 tff(f29616,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23819])).
% 58.08/9.45 tff(f23819,plain,(
% 58.08/9.45 ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1)),
% 58.08/9.45 inference(rectify,[],[f55])).
% 58.08/9.45 tff(f55,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (field(X0) => ! [X11 : X0] : divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),one2)) = X11)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_divide__numeral__1)).
% 58.08/9.45 tff(f100982,plain,(
% 58.08/9.45 spl5880_3844),
% 58.08/9.45 inference(avatar_split_clause,[],[f52242,f100980])).
% 58.08/9.45 tff(f100980,plain,(
% 58.08/9.45 spl5880_3844 <=> ! [X0 : $tType,X2 : num,X1 : num] : (unique8689654367752047608divmod(X0,X1,X2) = iG418(X0,X2,X1) | ~unique1627219031080169319umeral(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3844])])).
% 58.08/9.45 tff(f52242,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : num,X1 : num] : (unique8689654367752047608divmod(X0,X1,X2) = iG418(X0,X2,X1) | ~unique1627219031080169319umeral(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29445])).
% 58.08/9.45 tff(f29445,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : num,X2 : num] : unique8689654367752047608divmod(X0,X1,X2) = iG418(X0,X2,X1) | ~unique1627219031080169319umeral(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f11161])).
% 58.08/9.45 tff(f11161,plain,(
% 58.08/9.45 ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X1 : num,X2 : num] : unique8689654367752047608divmod(X0,X1,X2) = iG418(X0,X2,X1))),
% 58.08/9.45 inference(fool_elimination,[],[f11159,f11160])).
% 58.08/9.45 tff(f11160,plain,(
% 58.08/9.45 ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => unique1321980374590559556d_step(X0,X2,unique8689654367752047608divmod(X0,X1,aa(num,num,bit0,X2))) = iG418(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X1)) = iG418(X0,X2,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG418])])).
% 58.08/9.45 tff(f11159,plain,(
% 58.08/9.45 ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X1 : num,X2 : num] : unique8689654367752047608divmod(X0,X1,X2) = $ite(aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2), aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X1)),unique1321980374590559556d_step(X0,X2,unique8689654367752047608divmod(X0,X1,aa(num,num,bit0,X2)))))),
% 58.08/9.45 inference(rectify,[],[f1810])).
% 58.08/9.45 tff(f1810,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X15 : num,X8 : num] : unique8689654367752047608divmod(X0,X15,X8) = $ite(aa(num,$o,aa(num,fun(num,$o),ord_less(num),X15),X8), aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X15)),unique1321980374590559556d_step(X0,X8,unique8689654367752047608divmod(X0,X15,aa(num,num,bit0,X8)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1809_divmod__divmod__step)).
% 58.08/9.45 tff(f100978,plain,(
% 58.08/9.45 spl5880_3843),
% 58.08/9.45 inference(avatar_split_clause,[],[f52112,f100976])).
% 58.08/9.45 tff(f100976,plain,(
% 58.08/9.45 spl5880_3843 <=> ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,$o)) | ~bit_semiring_bits(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3843])])).
% 58.08/9.45 tff(f52112,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,$o)) | ~bit_semiring_bits(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29346])).
% 58.08/9.45 tff(f29346,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,$o)) | ~bit_semiring_bits(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f4504])).
% 58.08/9.45 tff(f4504,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_semiring_bits(X0) => bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,$o)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4503_bit__0__eq)).
% 58.08/9.45 tff(f100974,plain,(
% 58.08/9.45 spl5880_3842),
% 58.08/9.45 inference(avatar_split_clause,[],[f52032,f100972])).
% 58.08/9.45 tff(f100972,plain,(
% 58.08/9.45 spl5880_3842 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | zero_zero(X0) != modulo_modulo(X0,X2,X1) | ~semidom_modulo(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3842])])).
% 58.08/9.45 tff(f52032,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | zero_zero(X0) != modulo_modulo(X0,X2,X1) | ~semidom_modulo(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39186])).
% 58.08/9.45 tff(f39186,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | zero_zero(X0) != modulo_modulo(X0,X2,X1)) & (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,X2))) | ~semidom_modulo(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f29290])).
% 58.08/9.45 tff(f29290,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> zero_zero(X0) = modulo_modulo(X0,X2,X1)) | ~semidom_modulo(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23594])).
% 58.08/9.45 tff(f23594,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> zero_zero(X0) = modulo_modulo(X0,X2,X1)))),
% 58.08/9.45 inference(rectify,[],[f2021])).
% 58.08/9.45 tff(f2021,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0,X12 : X0] : (dvd_dvd(X0,X11,X12) <=> zero_zero(X0) = modulo_modulo(X0,X12,X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2020_dvd__eq__mod__eq__0)).
% 58.08/9.45 tff(f100970,plain,(
% 58.08/9.45 spl5880_3841),
% 58.08/9.45 inference(avatar_split_clause,[],[f52030,f100968])).
% 58.08/9.45 tff(f100968,plain,(
% 58.08/9.45 spl5880_3841 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3841])])).
% 58.08/9.45 tff(f52030,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,X2) | ~semidom_modulo(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29289])).
% 58.08/9.45 tff(f29289,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = modulo_modulo(X0,X2,X1) | ~dvd_dvd(X0,X1,X2)) | ~semidom_modulo(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23593])).
% 58.08/9.45 tff(f23593,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) => zero_zero(X0) = modulo_modulo(X0,X2,X1)))),
% 58.08/9.45 inference(rectify,[],[f1916])).
% 58.08/9.45 tff(f1916,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0,X12 : X0] : (dvd_dvd(X0,X11,X12) => zero_zero(X0) = modulo_modulo(X0,X12,X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1915_dvd__imp__mod__0)).
% 58.08/9.45 tff(f100966,plain,(
% 58.08/9.45 spl5880_3840),
% 58.08/9.45 inference(avatar_split_clause,[],[f52024,f100964])).
% 58.08/9.45 tff(f100964,plain,(
% 58.08/9.45 spl5880_3840 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X1) | zero_zero(X0) != modulo_modulo(X0,X1,X2) | ~semiring_modulo(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3840])])).
% 58.08/9.45 tff(f52024,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X2,X1) | zero_zero(X0) != modulo_modulo(X0,X1,X2) | ~semiring_modulo(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f29283])).
% 58.08/9.45 tff(f29283,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X2,X1) | zero_zero(X0) != modulo_modulo(X0,X1,X2)) | ~semiring_modulo(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23587])).
% 58.08/9.45 tff(f23587,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_modulo(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,X2) => dvd_dvd(X0,X2,X1)))),
% 58.08/9.45 inference(rectify,[],[f2020])).
% 58.08/9.45 tff(f2020,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_modulo(X0) => ! [X11 : X0,X12 : X0] : (modulo_modulo(X0,X11,X12) = zero_zero(X0) => dvd_dvd(X0,X12,X11)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2019_mod__0__imp__dvd)).
% 58.08/9.45 tff(f100962,plain,(
% 58.08/9.45 spl5880_3839),
% 58.08/9.45 inference(avatar_split_clause,[],[f51122,f100960])).
% 58.08/9.45 tff(f100960,plain,(
% 58.08/9.45 spl5880_3839 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3839])])).
% 58.08/9.45 tff(f51122,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f28488])).
% 58.08/9.45 tff(f28488,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23268])).
% 58.08/9.45 tff(f23268,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X1),zero_zero(X0)))),
% 58.08/9.45 inference(rectify,[],[f2247])).
% 58.08/9.45 tff(f2247,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,X8),zero_zero(X0)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2246_signed__take__bit__of__0)).
% 58.08/9.45 tff(f100958,plain,(
% 58.08/9.45 spl5880_3838),
% 58.08/9.45 inference(avatar_split_clause,[],[f51062,f100956])).
% 58.08/9.45 tff(f100956,plain,(
% 58.08/9.45 spl5880_3838 <=> ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1)) | ~real_V4412858255891104859lgebra(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3838])])).
% 58.08/9.45 tff(f51062,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1)) | ~real_V4412858255891104859lgebra(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f28425])).
% 58.08/9.45 tff(f28425,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1)) | ~real_V4412858255891104859lgebra(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23230])).
% 58.08/9.45 tff(f23230,plain,(
% 58.08/9.45 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1)))),
% 58.08/9.45 inference(rectify,[],[f6339])).
% 58.08/9.45 tff(f6339,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X9 : X0] : real_V3181309239436604168linear(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X9)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6338_bounded__linear__mult__right)).
% 58.08/9.45 tff(f100954,plain,(
% 58.08/9.45 spl5880_3837),
% 58.08/9.45 inference(avatar_split_clause,[],[f50798,f100952])).
% 58.08/9.45 tff(f100952,plain,(
% 58.08/9.45 spl5880_3837 <=> ! [X0 : $tType,X5 : nat,X1 : X0] : (member(X0,X1,aa(nat,set(X0),sK2571(X0,X1),X5)) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3837])])).
% 58.08/9.45 tff(f50798,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0,X5 : nat] : (member(X0,X1,aa(nat,set(X0),sK2571(X0,X1),X5)) | ~topolo3112930676232923870pology(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38750])).
% 58.08/9.45 tff(f38750,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : (! [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),sK2571(X0,X1),sK2572(X0,X1,X3))),X3)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2571(X0,X1),X5)) & member(X0,X1,aa(nat,set(X0),sK2571(X0,X1),X5)))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2571,sK2572])],[f28271,f38749,f38748])).
% 58.08/9.45 tff(f38748,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X0] : (? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : (? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X2,X4)),X3)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5)) & member(X0,X1,aa(nat,set(X0),X2,X5)))) => (! [X3 : set(X0)] : (? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),sK2571(X0,X1),X4)),X3)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2571(X0,X1),X5)) & member(X0,X1,aa(nat,set(X0),sK2571(X0,X1),X5)))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38749,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X0,X3 : set(X0)] : (? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),sK2571(X0,X1),X4)),X3)) => ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),sK2571(X0,X1),sK2572(X0,X1,X3))),X3)))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f28271,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : (? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X2,X4)),X3)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5)) & member(X0,X1,aa(nat,set(X0),X2,X5)))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(flattening,[],[f28270])).
% 58.08/9.45 tff(f28270,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : (? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X2,X4)),X3)) | (~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3))) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5)) & member(X0,X1,aa(nat,set(X0),X2,X5)))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f10178])).
% 58.08/9.45 tff(f10178,plain,(
% 58.08/9.45 ! [X0 : $tType] : (topolo3112930676232923870pology(X0) => ! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : ((member(X0,X1,X3) & topolo1002775350975398744n_open(X0,X3)) => ? [X4 : nat] : ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X2,X4)),X3))) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5)) & member(X0,X1,aa(nat,set(X0),X2,X5)))))),
% 58.08/9.45 inference(fool_elimination,[],[f10177])).
% 58.08/9.45 tff(f10177,plain,(
% 58.08/9.45 ! [X0 : $tType] : (topolo3112930676232923870pology(X0) => ! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : ((member(X0,X1,X3) & topolo1002775350975398744n_open(X0,X3)) => ? [X4 : nat] : aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X2,X4)),X3)) & ! [X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5)) & member(X0,X1,aa(nat,set(X0),X2,X5)))))),
% 58.08/9.45 inference(rectify,[],[f6359])).
% 58.08/9.45 tff(f6359,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (topolo3112930676232923870pology(X0) => ! [X9 : X0] : ? [X222 : fun(nat,set(X0))] : (! [X348 : set(X0)] : ((member(X0,X9,X348) & topolo1002775350975398744n_open(X0,X348)) => ? [X41 : nat] : aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(nat,set(X0),X222,X41)),X348)) & ! [X22 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),X222,X22)) & member(X0,X9,aa(nat,set(X0),X222,X22)))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6358_first__countable__basis)).
% 58.08/9.45 tff(f100950,plain,(
% 58.08/9.45 spl5880_3836),
% 58.08/9.45 inference(avatar_split_clause,[],[f50796,f100948])).
% 58.08/9.45 tff(f100948,plain,(
% 58.08/9.45 spl5880_3836 <=> ! [X0 : $tType,X4 : nat,X1 : X0] : (member(X0,X1,aa(nat,set(X0),sK2570(X0,X1),X4)) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3836])])).
% 58.08/9.45 tff(f50796,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0,X4 : nat] : (member(X0,X1,aa(nat,set(X0),sK2570(X0,X1),X4)) | ~topolo3112930676232923870pology(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38747])).
% 58.08/9.45 tff(f38747,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : (! [X3 : set(X0)] : (eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),sK2570(X0,X1)),X3),at_top(nat)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),sK2570(X0,X1),X4)) & ! [X5 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2570(X0,X1),X5))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2570])],[f38745,f38746])).
% 58.08/9.45 tff(f38746,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X0] : (? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : (eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X2),X3),at_top(nat)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),X2,X4)) & ! [X5 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5))) => (! [X3 : set(X0)] : (eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),sK2570(X0,X1)),X3),at_top(nat)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),sK2570(X0,X1),X4)) & ! [X5 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2570(X0,X1),X5))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38745,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X3 : set(X0)] : (eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X2),X3),at_top(nat)) | ~member(X0,X1,X3) | ~topolo1002775350975398744n_open(X0,X3)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),X2,X4)) & ! [X5 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X5))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(rectify,[],[f28269])).
% 58.08/9.45 tff(f28269,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : (! [X5 : set(X0)] : (eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X2),X5),at_top(nat)) | ~member(X0,X1,X5) | ~topolo1002775350975398744n_open(X0,X5)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),X2,X4)) & ! [X3 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X3))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(flattening,[],[f28268])).
% 58.08/9.45 tff(f28268,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : fun(nat,set(X0))] : ((! [X5 : set(X0)] : ((eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X2),X5),at_top(nat)) | ~member(X0,X1,X5)) | ~topolo1002775350975398744n_open(X0,X5)) & ! [X4 : nat] : member(X0,X1,aa(nat,set(X0),X2,X4))) & ! [X3 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X3))) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23155])).
% 58.08/9.45 tff(f23155,plain,(
% 58.08/9.45 ! [X0 : $tType] : (topolo3112930676232923870pology(X0) => ! [X1 : X0] : ~! [X2 : fun(nat,set(X0))] : (! [X3 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X2,X3)) => (! [X4 : nat] : member(X0,X1,aa(nat,set(X0),X2,X4)) => ~! [X5 : set(X0)] : (topolo1002775350975398744n_open(X0,X5) => (member(X0,X1,X5) => eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X2),X5),at_top(nat)))))))),
% 58.08/9.45 inference(rectify,[],[f6500])).
% 58.08/9.45 tff(f6500,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (topolo3112930676232923870pology(X0) => ! [X9 : X0] : ~! [X222 : fun(nat,set(X0))] : (! [X22 : nat] : topolo1002775350975398744n_open(X0,aa(nat,set(X0),X222,X22)) => (! [X22 : nat] : member(X0,X9,aa(nat,set(X0),X222,X22)) => ~! [X348 : set(X0)] : (topolo1002775350975398744n_open(X0,X348) => (member(X0,X9,X348) => eventually(nat,aa(set(X0),fun(nat,$o),aTP_Lamp_wu(fun(nat,set(X0)),fun(set(X0),fun(nat,$o)),X222),X348),at_top(nat)))))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6499_countable__basis__at__decseq)).
% 58.08/9.45 tff(f100946,plain,(
% 58.08/9.45 spl5880_3835),
% 58.08/9.45 inference(avatar_split_clause,[],[f50771,f100944])).
% 58.08/9.45 tff(f100944,plain,(
% 58.08/9.45 spl5880_3835 <=> ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = gcd_Gcd(X0,X1) | ~member(X0,one_one(X0),X1) | ~semiring_Gcd(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3835])])).
% 58.08/9.45 tff(f50771,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = gcd_Gcd(X0,X1) | ~member(X0,one_one(X0),X1) | ~semiring_Gcd(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f28245])).
% 58.08/9.45 tff(f28245,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : set(X0)] : (one_one(X0) = gcd_Gcd(X0,X1) | ~member(X0,one_one(X0),X1)) | ~semiring_Gcd(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23148])).
% 58.08/9.45 tff(f23148,plain,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : (member(X0,one_one(X0),X1) => one_one(X0) = gcd_Gcd(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f7151])).
% 58.08/9.45 tff(f7151,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X27 : set(X0)] : (member(X0,one_one(X0),X27) => one_one(X0) = gcd_Gcd(X0,X27)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7150_Gcd__1)).
% 58.08/9.45 tff(f100942,plain,(
% 58.08/9.45 spl5880_3834),
% 58.08/9.45 inference(avatar_split_clause,[],[f50277,f100940])).
% 58.08/9.45 tff(f100940,plain,(
% 58.08/9.45 spl5880_3834 <=> ! [X0 : num] : bitM(aa(num,num,bit0,X0)) = aa(num,num,bit1,bitM(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3834])])).
% 58.08/9.45 tff(f50277,plain,(
% 58.08/9.45 ( ! [X0 : num] : (bitM(aa(num,num,bit0,X0)) = aa(num,num,bit1,bitM(X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22807])).
% 58.08/9.45 tff(f22807,plain,(
% 58.08/9.45 ! [X0 : num] : bitM(aa(num,num,bit0,X0)) = aa(num,num,bit1,bitM(X0))),
% 58.08/9.45 inference(rectify,[],[f1874])).
% 58.08/9.45 tff(f1874,axiom,(
% 58.08/9.45 ! [X8 : num] : bitM(aa(num,num,bit0,X8)) = aa(num,num,bit1,bitM(X8))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1873_semiring__norm_I27_J)).
% 58.08/9.45 tff(f100938,plain,(
% 58.08/9.45 spl5880_3833),
% 58.08/9.45 inference(avatar_split_clause,[],[f50275,f100936])).
% 58.08/9.45 tff(f100936,plain,(
% 58.08/9.45 spl5880_3833 <=> ! [X0 : num] : aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit0,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3833])])).
% 58.08/9.45 tff(f50275,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit0,X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22805])).
% 58.08/9.45 tff(f22805,plain,(
% 58.08/9.45 ! [X0 : num] : aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit0,X0))),
% 58.08/9.45 inference(rectify,[],[f4820])).
% 58.08/9.45 tff(f4820,axiom,(
% 58.08/9.45 ! [X15 : num] : aa(num,num,bit1,X15) = bit_or_not_num_neg(one2,aa(num,num,bit0,X15))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4819_or__not__num__neg_Osimps_I2_J)).
% 58.08/9.45 tff(f100934,plain,(
% 58.08/9.45 spl5880_3832),
% 58.08/9.45 inference(avatar_split_clause,[],[f50274,f100932])).
% 58.08/9.45 tff(f100932,plain,(
% 58.08/9.45 spl5880_3832 <=> ! [X0 : num] : aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit1,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3832])])).
% 58.08/9.45 tff(f50274,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit1,X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22804])).
% 58.08/9.45 tff(f22804,plain,(
% 58.08/9.45 ! [X0 : num] : aa(num,num,bit1,X0) = bit_or_not_num_neg(one2,aa(num,num,bit1,X0))),
% 58.08/9.45 inference(rectify,[],[f4816])).
% 58.08/9.45 tff(f4816,axiom,(
% 58.08/9.45 ! [X15 : num] : aa(num,num,bit1,X15) = bit_or_not_num_neg(one2,aa(num,num,bit1,X15))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4815_or__not__num__neg_Osimps_I3_J)).
% 58.08/9.45 tff(f100930,plain,(
% 58.08/9.45 spl5880_3831),
% 58.08/9.45 inference(avatar_split_clause,[],[f50273,f100928])).
% 58.08/9.45 tff(f100928,plain,(
% 58.08/9.45 spl5880_3831 <=> ! [X0 : num] : aa(num,num,bit0,one2) = bit_or_not_num_neg(aa(num,num,bit0,X0),one2)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3831])])).
% 58.08/9.45 tff(f50273,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,num,bit0,one2) = bit_or_not_num_neg(aa(num,num,bit0,X0),one2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22803])).
% 58.08/9.45 tff(f22803,plain,(
% 58.08/9.45 ! [X0 : num] : aa(num,num,bit0,one2) = bit_or_not_num_neg(aa(num,num,bit0,X0),one2)),
% 58.08/9.45 inference(rectify,[],[f4813])).
% 58.08/9.45 tff(f4813,axiom,(
% 58.08/9.45 ! [X8 : num] : aa(num,num,bit0,one2) = bit_or_not_num_neg(aa(num,num,bit0,X8),one2)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4812_or__not__num__neg_Osimps_I4_J)).
% 58.08/9.45 tff(f100926,plain,(
% 58.08/9.45 spl5880_3830),
% 58.08/9.45 inference(avatar_split_clause,[],[f50272,f100924])).
% 58.08/9.45 tff(f100924,plain,(
% 58.08/9.45 spl5880_3830 <=> ! [X0 : num] : imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3830])])).
% 58.08/9.45 tff(f50272,plain,(
% 58.08/9.45 ( ! [X0 : num] : (imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22802])).
% 58.08/9.45 tff(f22802,plain,(
% 58.08/9.45 ! [X0 : num] : imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))),
% 58.08/9.45 inference(rectify,[],[f4174])).
% 58.08/9.45 tff(f4174,axiom,(
% 58.08/9.45 ! [X20 : num] : aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X20)) != imaginary_unit),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4173_complex__i__not__neg__numeral)).
% 58.08/9.45 tff(f100922,plain,(
% 58.08/9.45 spl5880_3829),
% 58.08/9.45 inference(avatar_split_clause,[],[f50058,f100919])).
% 58.08/9.45 tff(f100919,plain,(
% 58.08/9.45 spl5880_3829 <=> vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3829])])).
% 58.08/9.45 tff(f50058,plain,(
% 58.08/9.45 vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat))),
% 58.08/9.45 inference(cnf_transformation,[],[f311])).
% 58.08/9.45 tff(f311,axiom,(
% 58.08/9.45 vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_mul__def)).
% 58.08/9.45 tff(f100917,plain,(
% 58.08/9.45 spl5880_3828),
% 58.08/9.45 inference(avatar_split_clause,[],[f50057,f100914])).
% 58.08/9.45 tff(f100914,plain,(
% 58.08/9.45 spl5880_3828 <=> vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3828])])).
% 58.08/9.45 tff(f50057,plain,(
% 58.08/9.45 vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat))),
% 58.08/9.45 inference(cnf_transformation,[],[f310])).
% 58.08/9.45 tff(f310,axiom,(
% 58.08/9.45 vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_add__def)).
% 58.08/9.45 tff(f100912,plain,(
% 58.08/9.45 spl5880_3827),
% 58.08/9.45 inference(avatar_split_clause,[],[f50056,f100909])).
% 58.08/9.45 tff(f100909,plain,(
% 58.08/9.45 spl5880_3827 <=> vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3827])])).
% 58.08/9.45 tff(f50056,plain,(
% 58.08/9.45 vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat))),
% 58.08/9.45 inference(cnf_transformation,[],[f199])).
% 58.08/9.45 tff(f199,axiom,(
% 58.08/9.45 vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_local_Opower__def)).
% 58.08/9.45 tff(f100907,plain,(
% 58.08/9.45 spl5880_3826),
% 58.08/9.45 inference(avatar_split_clause,[],[f48517,f100905])).
% 58.08/9.45 tff(f100905,plain,(
% 58.08/9.45 spl5880_3826 <=> ! [X0 : code_integer,X1 : code_integer] : (iG624(X1,X0) = iG625(X0,X1) | zero_zero(code_integer) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3826])])).
% 58.08/9.45 tff(f48517,plain,(
% 58.08/9.45 ( ! [X0 : code_integer,X1 : code_integer] : (iG624(X1,X0) = iG625(X0,X1) | zero_zero(code_integer) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27917])).
% 58.08/9.45 tff(f27917,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (iG624(X1,X0) = iG625(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG625(X2,X3) | zero_zero(code_integer) != X2)),
% 58.08/9.45 inference(ennf_transformation,[],[f22188])).
% 58.08/9.45 tff(f22188,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => iG624(X1,X0) = iG625(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG625(X2,X3))),
% 58.08/9.45 inference(flattening,[],[f22187])).
% 58.08/9.45 tff(f22187,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG624(X1,X0) = iG625(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG625(X2,X3))),
% 58.08/9.45 inference(rectify,[],[f14583])).
% 58.08/9.45 tff(f14583,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG624(X1,X0) = iG625(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG625(X0,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG625])])).
% 58.08/9.45 tff(f100902,plain,(
% 58.08/9.45 spl5880_3825),
% 58.08/9.45 inference(avatar_split_clause,[],[f48507,f100900])).
% 58.08/9.45 tff(f48507,plain,(
% 58.08/9.45 ( ! [X0 : code_integer,X1 : code_integer] : (iG629(X1,X0) = iG630(X0,X1) | zero_zero(code_integer) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27912])).
% 58.08/9.45 tff(f27912,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (iG629(X1,X0) = iG630(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG630(X2,X3) | zero_zero(code_integer) != X2)),
% 58.08/9.45 inference(ennf_transformation,[],[f22178])).
% 58.08/9.45 tff(f22178,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => iG629(X1,X0) = iG630(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG630(X2,X3))),
% 58.08/9.45 inference(flattening,[],[f22177])).
% 58.08/9.45 tff(f22177,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG629(X1,X0) = iG630(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG630(X2,X3))),
% 58.08/9.45 inference(rectify,[],[f14590])).
% 58.08/9.45 tff(f14590,plain,(
% 58.08/9.45 ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG629(X1,X0) = iG630(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG630(X0,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG630])])).
% 58.08/9.45 tff(f100898,plain,(
% 58.08/9.45 spl5880_3824),
% 58.08/9.45 inference(avatar_split_clause,[],[f48210,f100896])).
% 58.08/9.45 tff(f100896,plain,(
% 58.08/9.45 spl5880_3824 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : set(X3)] : (one_one(X0) = iG774(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3824])])).
% 58.08/9.45 tff(f48210,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG774(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27826])).
% 58.08/9.45 tff(f100894,plain,(
% 58.08/9.45 spl5880_3823),
% 58.08/9.45 inference(avatar_split_clause,[],[f48200,f100892])).
% 58.08/9.45 tff(f100892,plain,(
% 58.08/9.45 spl5880_3823 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : set(X3)] : (one_one(X0) = iG779(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3823])])).
% 58.08/9.45 tff(f48200,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG779(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27821])).
% 58.08/9.45 tff(f100890,plain,(
% 58.08/9.45 spl5880_3822),
% 58.08/9.45 inference(avatar_split_clause,[],[f48198,f100888])).
% 58.08/9.45 tff(f100888,plain,(
% 58.08/9.45 spl5880_3822 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : set(X3)] : (one_one(X0) = iG780(X0,X3,X1,X2,X4) | member(X3,X2,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3822])])).
% 58.08/9.45 tff(f48198,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG780(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27820])).
% 58.08/9.45 tff(f100886,plain,(
% 58.08/9.45 spl5880_3821),
% 58.08/9.45 inference(avatar_split_clause,[],[f48175,f100884])).
% 58.08/9.45 tff(f100884,plain,(
% 58.08/9.45 spl5880_3821 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG792(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3821])])).
% 58.08/9.45 tff(f48175,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG792(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38476])).
% 58.08/9.45 tff(f38476,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG792(X0,X1))) & (($true = bG792(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2540(X0)),sK2541(X0))) & member(vEBT_VEBT,sK2540(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2542(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2540,sK2541,sK2542])],[f38472,f38475,f38474,f38473])).
% 58.08/9.45 tff(f38473,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2540(X0)),X6)) & member(vEBT_VEBT,sK2540(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38474,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2540(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2540(X0)),sK2541(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38475,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2542(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38472,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG792(X0,X1))) & (($true = bG792(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38471])).
% 58.08/9.45 tff(f38471,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG792(X0,X1))) & (($true = bG792(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38470])).
% 58.08/9.45 tff(f38470,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG792(X0,X1))) & (($true = bG792(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27812])).
% 58.08/9.45 tff(f27812,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG792(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21959])).
% 58.08/9.45 tff(f21959,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG792(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f15304])).
% 58.08/9.45 tff(f100882,plain,(
% 58.08/9.45 spl5880_3820),
% 58.08/9.45 inference(avatar_split_clause,[],[f48161,f100880])).
% 58.08/9.45 tff(f100880,plain,(
% 58.08/9.45 spl5880_3820 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG799(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3820])])).
% 58.08/9.45 tff(f48161,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG799(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38465])).
% 58.08/9.45 tff(f38465,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG799(X0,X1))) & (($true = bG799(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2537(X0)),sK2538(X0))) & member(vEBT_VEBT,sK2537(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2539(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2537,sK2538,sK2539])],[f38461,f38464,f38463,f38462])).
% 58.08/9.45 tff(f38462,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2537(X0)),X6)) & member(vEBT_VEBT,sK2537(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38463,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2537(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2537(X0)),sK2538(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38464,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2539(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38461,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG799(X0,X1))) & (($true = bG799(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38460])).
% 58.08/9.45 tff(f38460,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG799(X0,X1))) & (($true = bG799(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38459])).
% 58.08/9.45 tff(f38459,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG799(X0,X1))) & (($true = bG799(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27811])).
% 58.08/9.45 tff(f27811,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG799(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21952])).
% 58.08/9.45 tff(f21952,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG799(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f15313])).
% 58.08/9.45 tff(f15313,plain,(
% 58.08/9.45 ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG799(X6,X7)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG799])])).
% 58.08/9.45 tff(f100878,plain,(
% 58.08/9.45 spl5880_3819),
% 58.08/9.45 inference(avatar_split_clause,[],[f48089,f100876])).
% 58.08/9.45 tff(f100876,plain,(
% 58.08/9.45 spl5880_3819 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG832(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3819])])).
% 58.08/9.45 tff(f48089,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG832(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38434])).
% 58.08/9.45 tff(f38434,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG832(X0,X1))) & (($true = bG832(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2534(X0)),sK2535(X0))) & member(vEBT_VEBT,sK2534(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2536(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2534,sK2535,sK2536])],[f38430,f38433,f38432,f38431])).
% 58.08/9.45 tff(f38431,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2534(X0)),X6)) & member(vEBT_VEBT,sK2534(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38432,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2534(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2534(X0)),sK2535(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38433,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2536(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38430,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG832(X0,X1))) & (($true = bG832(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38429])).
% 58.08/9.45 tff(f38429,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG832(X0,X1))) & (($true = bG832(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38428])).
% 58.08/9.45 tff(f38428,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG832(X0,X1))) & (($true = bG832(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27800])).
% 58.08/9.45 tff(f27800,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG832(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21901])).
% 58.08/9.45 tff(f21901,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG832(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f15370])).
% 58.08/9.45 tff(f100874,plain,(
% 58.08/9.45 spl5880_3818),
% 58.08/9.45 inference(avatar_split_clause,[],[f48075,f100872])).
% 58.08/9.45 tff(f100872,plain,(
% 58.08/9.45 spl5880_3818 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG839(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3818])])).
% 58.08/9.45 tff(f48075,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG839(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38423])).
% 58.08/9.45 tff(f38423,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2531(X0)),sK2532(X0))) & member(vEBT_VEBT,sK2531(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2533(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2531,sK2532,sK2533])],[f38419,f38422,f38421,f38420])).
% 58.08/9.45 tff(f38420,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2531(X0)),X6)) & member(vEBT_VEBT,sK2531(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38421,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2531(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2531(X0)),sK2532(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38422,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2533(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38419,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38418])).
% 58.08/9.45 tff(f38418,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38417])).
% 58.08/9.45 tff(f38417,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27799])).
% 58.08/9.45 tff(f27799,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG839(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21894])).
% 58.08/9.45 tff(f21894,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG839(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f15379])).
% 58.08/9.45 tff(f15379,plain,(
% 58.08/9.45 ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG839(X6,X7)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG839])])).
% 58.08/9.45 tff(f100869,plain,(
% 58.08/9.45 spl5880_3817),
% 58.08/9.45 inference(avatar_split_clause,[],[f47244,f100867])).
% 58.08/9.45 tff(f47244,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1245(X0,X1,X2) = iG1246(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27626])).
% 58.08/9.45 tff(f27626,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1245(X0,X1,X2) = iG1246(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1241(X4)) = iG1246(X3,X4,X5) | zero_zero(nat) != X3)),
% 58.08/9.45 inference(ennf_transformation,[],[f21330])).
% 58.08/9.45 tff(f21330,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG1245(X0,X1,X2) = iG1246(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1241(X4)) = iG1246(X3,X4,X5))),
% 58.08/9.45 inference(flattening,[],[f21329])).
% 58.08/9.45 tff(f21329,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG1245(X0,X1,X2) = iG1246(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1241(X4)) = iG1246(X3,X4,X5))),
% 58.08/9.45 inference(rectify,[],[f17596])).
% 58.08/9.45 tff(f17596,plain,(
% 58.08/9.45 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => iG1245(X1,X4,X3) = iG1246(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => vEBT_Leaf($true,bG1241(X4)) = iG1246(X1,X4,X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1246])])).
% 58.08/9.45 tff(f100864,plain,(
% 58.08/9.45 spl5880_3816),
% 58.08/9.45 inference(avatar_split_clause,[],[f47216,f100862])).
% 58.08/9.45 tff(f47216,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1259(X0,X1,X2) = iG1260(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27619])).
% 58.08/9.45 tff(f27619,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (iG1259(X0,X1,X2) = iG1260(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1255(X4)) = iG1260(X3,X4,X5) | zero_zero(nat) != X3)),
% 58.08/9.45 inference(ennf_transformation,[],[f21311])).
% 58.08/9.45 tff(f21311,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG1259(X0,X1,X2) = iG1260(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1255(X4)) = iG1260(X3,X4,X5))),
% 58.08/9.45 inference(flattening,[],[f21310])).
% 58.08/9.45 tff(f21310,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG1259(X0,X1,X2) = iG1260(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG1255(X4)) = iG1260(X3,X4,X5))),
% 58.08/9.45 inference(rectify,[],[f17612])).
% 58.08/9.45 tff(f17612,plain,(
% 58.08/9.45 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => iG1259(X1,X4,X3) = iG1260(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => vEBT_Leaf($true,bG1255(X4)) = iG1260(X1,X4,X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1260])])).
% 58.08/9.45 tff(f100860,plain,(
% 58.08/9.45 spl5880_3815),
% 58.08/9.45 inference(avatar_split_clause,[],[f46829,f100858])).
% 58.08/9.45 tff(f100858,plain,(
% 58.08/9.45 spl5880_3815 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1467(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3815])])).
% 58.08/9.45 tff(f46829,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1467(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38087])).
% 58.08/9.45 tff(f38087,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1467(X0,X1))) & (($true = bG1467(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2528(X0)),sK2529(X0))) & member(vEBT_VEBT,sK2528(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2530(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2528,sK2529,sK2530])],[f38083,f38086,f38085,f38084])).
% 58.08/9.45 tff(f38084,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2528(X0)),X6)) & member(vEBT_VEBT,sK2528(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38085,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2528(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2528(X0)),sK2529(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38086,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2530(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38083,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1467(X0,X1))) & (($true = bG1467(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38082])).
% 58.08/9.45 tff(f38082,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1467(X0,X1))) & (($true = bG1467(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38081])).
% 58.08/9.45 tff(f38081,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1467(X0,X1))) & (($true = bG1467(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27527])).
% 58.08/9.45 tff(f27527,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1467(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21042])).
% 58.08/9.45 tff(f21042,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1467(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f17955])).
% 58.08/9.45 tff(f17955,plain,(
% 58.08/9.45 ! [X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : ((! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) => ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10))) & ~? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X11))) <=> ($true = bG1467(X7,X8)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG1467])])).
% 58.08/9.45 tff(f100856,plain,(
% 58.08/9.45 spl5880_3814),
% 58.08/9.45 inference(avatar_split_clause,[],[f46815,f100854])).
% 58.08/9.45 tff(f100854,plain,(
% 58.08/9.45 spl5880_3814 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1474(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3814])])).
% 58.08/9.45 tff(f46815,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1474(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38076])).
% 58.08/9.45 tff(f38076,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1474(X0,X1))) & (($true = bG1474(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2525(X0)),sK2526(X0))) & member(vEBT_VEBT,sK2525(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2527(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2525,sK2526,sK2527])],[f38072,f38075,f38074,f38073])).
% 58.08/9.45 tff(f38073,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2525(X0)),X6)) & member(vEBT_VEBT,sK2525(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38074,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2525(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2525(X0)),sK2526(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38075,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2527(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38072,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1474(X0,X1))) & (($true = bG1474(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38071])).
% 58.08/9.45 tff(f38071,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1474(X0,X1))) & (($true = bG1474(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38070])).
% 58.08/9.45 tff(f38070,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1474(X0,X1))) & (($true = bG1474(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27526])).
% 58.08/9.45 tff(f27526,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1474(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f21035])).
% 58.08/9.45 tff(f21035,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1474(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f17964])).
% 58.08/9.45 tff(f17964,plain,(
% 58.08/9.45 ! [X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : ((! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) => ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10))) & ~? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X11))) <=> ($true = bG1474(X7,X8)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG1474])])).
% 58.08/9.45 tff(f100852,plain,(
% 58.08/9.45 spl5880_3813),
% 58.08/9.45 inference(avatar_split_clause,[],[f46693,f100850])).
% 58.08/9.45 tff(f100850,plain,(
% 58.08/9.45 spl5880_3813 <=> ! [X0 : int,X1 : int] : (zero_zero(int) = iG1531(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3813])])).
% 58.08/9.45 tff(f46693,plain,(
% 58.08/9.45 ( ! [X0 : int,X1 : int] : (zero_zero(int) = iG1531(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27501])).
% 58.08/9.45 tff(f27501,plain,(
% 58.08/9.45 ! [X0 : int,X1 : int] : (zero_zero(int) = iG1531(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (one_one(int) = iG1531(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.45 inference(ennf_transformation,[],[f20943])).
% 58.08/9.45 tff(f20943,plain,(
% 58.08/9.45 ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => zero_zero(int) = iG1531(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => one_one(int) = iG1531(X2,X3))),
% 58.08/9.45 inference(flattening,[],[f20942])).
% 58.08/9.45 tff(f20942,plain,(
% 58.08/9.45 ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => zero_zero(int) = iG1531(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => one_one(int) = iG1531(X2,X3))),
% 58.08/9.45 inference(rectify,[],[f18133])).
% 58.08/9.45 tff(f18133,plain,(
% 58.08/9.45 ! [X2 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X2) => zero_zero(int) = iG1531(X2,X1)) & ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X2) => one_one(int) = iG1531(X2,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1531])])).
% 58.08/9.45 tff(f100848,plain,(
% 58.08/9.45 spl5880_3812),
% 58.08/9.45 inference(avatar_split_clause,[],[f46692,f100846])).
% 58.08/9.45 tff(f100846,plain,(
% 58.08/9.45 spl5880_3812 <=> ! [X2 : int,X3 : int] : (one_one(int) = iG1531(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3812])])).
% 58.08/9.45 tff(f46692,plain,(
% 58.08/9.45 ( ! [X2 : int,X3 : int] : (one_one(int) = iG1531(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27501])).
% 58.08/9.45 tff(f100842,plain,(
% 58.08/9.45 spl5880_3811),
% 58.08/9.45 inference(avatar_split_clause,[],[f46691,f100840])).
% 58.08/9.45 tff(f46691,plain,(
% 58.08/9.45 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG1532(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27500])).
% 58.08/9.45 tff(f27500,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG1532(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) & ! [X2 : nat,X3 : nat] : (one_one(nat) = iG1532(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2))),
% 58.08/9.45 inference(ennf_transformation,[],[f20941])).
% 58.08/9.45 tff(f20941,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != modulo_modulo(nat,X1,X0) => zero_zero(nat) = iG1532(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = modulo_modulo(nat,X3,X2) => one_one(nat) = iG1532(X2,X3))),
% 58.08/9.45 inference(flattening,[],[f20940])).
% 58.08/9.45 tff(f20940,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = modulo_modulo(nat,X1,X0) => zero_zero(nat) = iG1532(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = modulo_modulo(nat,X3,X2) => one_one(nat) = iG1532(X2,X3))),
% 58.08/9.45 inference(rectify,[],[f18206])).
% 58.08/9.45 tff(f18206,plain,(
% 58.08/9.45 ! [X2 : nat,X1 : nat] : (~zero_zero(nat) = modulo_modulo(nat,X1,X2) => zero_zero(nat) = iG1532(X2,X1)) & ! [X2 : nat,X1 : nat] : (zero_zero(nat) = modulo_modulo(nat,X1,X2) => one_one(nat) = iG1532(X2,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1532])])).
% 58.08/9.45 tff(f100836,plain,(
% 58.08/9.45 spl5880_3810),
% 58.08/9.45 inference(avatar_split_clause,[],[f46690,f100834])).
% 58.08/9.45 tff(f46690,plain,(
% 58.08/9.45 ( ! [X2 : nat,X3 : nat] : (one_one(nat) = iG1532(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27500])).
% 58.08/9.45 tff(f100831,plain,(
% 58.08/9.45 spl5880_3809),
% 58.08/9.45 inference(avatar_split_clause,[],[f46651,f100829])).
% 58.08/9.45 tff(f46651,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (nil(X0) = iG1550(X0,X1,X2) | member(nat,zero_zero(nat),X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27490])).
% 58.08/9.45 tff(f27490,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : X0] : (nil(X0) = iG1550(X0,X1,X2) | member(nat,zero_zero(nat),X1)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG1550(X3,X4,X5) | ~member(nat,zero_zero(nat),X4))),
% 58.08/9.45 inference(ennf_transformation,[],[f20917])).
% 58.08/9.45 tff(f20917,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG1550(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG1550(X3,X4,X5))),
% 58.08/9.45 inference(flattening,[],[f20916])).
% 58.08/9.45 tff(f20916,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG1550(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG1550(X3,X4,X5))),
% 58.08/9.45 inference(rectify,[],[f18966])).
% 58.08/9.45 tff(f18966,plain,(
% 58.08/9.45 ! [X0 : $tType,X3 : set(nat),X1 : X0] : (~member(nat,zero_zero(nat),X3) => nil(X0) = iG1550(X0,X3,X1)) & ! [X0 : $tType,X3 : set(nat),X1 : X0] : (member(nat,zero_zero(nat),X3) => aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG1550(X0,X3,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1550])])).
% 58.08/9.45 tff(f100827,plain,(
% 58.08/9.45 spl5880_3808),
% 58.08/9.45 inference(avatar_split_clause,[],[f46550,f100825])).
% 58.08/9.45 tff(f100825,plain,(
% 58.08/9.45 spl5880_3808 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1597(X0,X1)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3808])])).
% 58.08/9.45 tff(f46550,plain,(
% 58.08/9.45 ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG1597(X0,X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38008])).
% 58.08/9.45 tff(f38008,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1597(X0,X1))) & (($true = bG1597(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2521(X0)),sK2522(X0))) & member(vEBT_VEBT,sK2521(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2523(X1)))))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2521,sK2522,sK2523])],[f38004,f38007,f38006,f38005])).
% 58.08/9.45 tff(f38005,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2521(X0)),X6)) & member(vEBT_VEBT,sK2521(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38006,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2521(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK2521(X0)),sK2522(X0))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38007,plain,(
% 58.08/9.45 ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK2523(X1))))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f38004,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1597(X0,X1))) & (($true = bG1597(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 58.08/9.45 inference(rectify,[],[f38003])).
% 58.08/9.45 tff(f38003,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1597(X0,X1))) & (($true = bG1597(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 58.08/9.45 inference(flattening,[],[f38002])).
% 58.08/9.45 tff(f38002,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG1597(X0,X1))) & (($true = bG1597(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 58.08/9.45 inference(nnf_transformation,[],[f27453])).
% 58.08/9.45 tff(f27453,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1597(X0,X1)))),
% 58.08/9.45 inference(ennf_transformation,[],[f20837])).
% 58.08/9.45 tff(f20837,plain,(
% 58.08/9.45 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG1597(X0,X1)))),
% 58.08/9.45 inference(rectify,[],[f19737])).
% 58.08/9.45 tff(f100823,plain,(
% 58.08/9.45 spl5880_3807),
% 58.08/9.45 inference(avatar_split_clause,[],[f46528,f100821])).
% 58.08/9.45 tff(f100821,plain,(
% 58.08/9.45 spl5880_3807 <=> ! [X8 : $tType,X5 : $tType,X9 : set(X5),X7 : X8,X6 : set(X8)] : (iG1605(X5,X8,X6,X7,X9) = X9 | ~member(X8,X7,X6))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3807])])).
% 58.08/9.45 tff(f46528,plain,(
% 58.08/9.45 ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : set(X5),X7 : X8] : (iG1605(X5,X8,X6,X7,X9) = X9 | ~member(X8,X7,X6)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27448])).
% 58.08/9.45 tff(f100819,plain,(
% 58.08/9.45 spl5880_3806),
% 58.08/9.45 inference(avatar_split_clause,[],[f46142,f100817])).
% 58.08/9.45 tff(f100817,plain,(
% 58.08/9.45 spl5880_3806 <=> ! [X5 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat,X2 : nat,X0 : nat,X6 : nat,X1 : nat] : (iG1822(X0,X1,X2,X3,X4,X5,X6) = X1 | X0 = X1)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3806])])).
% 58.08/9.45 tff(f46142,plain,(
% 58.08/9.45 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X6 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (iG1822(X0,X1,X2,X3,X4,X5,X6) = X1 | X0 = X1) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27319])).
% 58.08/9.45 tff(f100815,plain,(
% 58.08/9.45 spl5880_3805),
% 58.08/9.45 inference(avatar_split_clause,[],[f46130,f100813])).
% 58.08/9.45 tff(f100813,plain,(
% 58.08/9.45 spl5880_3805 <=> ! [X5 : nat,X4 : list(vEBT_VEBT),X2 : nat,X0 : nat,X6 : nat,X3 : vEBT_VEBT,X1 : nat] : (iG1829(X0,X1,X2,X3,X4,X5,X6) = X0 | X0 = X1)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3805])])).
% 58.08/9.45 tff(f46130,plain,(
% 58.08/9.45 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X6 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1829(X0,X1,X2,X3,X4,X5,X6) = X0 | X0 = X1) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27314])).
% 58.08/9.45 tff(f100811,plain,(
% 58.08/9.45 spl5880_3804),
% 58.08/9.45 inference(avatar_split_clause,[],[f46110,f100809])).
% 58.08/9.45 tff(f100809,plain,(
% 58.08/9.45 spl5880_3804 <=> ! [X5 : list(vEBT_VEBT),X4 : vEBT_VEBT,X7 : nat,X6 : nat] : (iG1840(X4,X5,X6,X7) = X7 | none(nat) != lG1839(X4))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3804])])).
% 58.08/9.45 tff(f46110,plain,(
% 58.08/9.45 ( ! [X6 : nat,X7 : nat,X4 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : (iG1840(X4,X5,X6,X7) = X7 | none(nat) != lG1839(X4)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27306])).
% 58.08/9.45 tff(f27306,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1839(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1839(X0)))))) = iG1840(X0,X1,X2,X3) | none(nat) = lG1839(X0)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (iG1840(X4,X5,X6,X7) = X7 | none(nat) != lG1839(X4))),
% 58.08/9.45 inference(ennf_transformation,[],[f20486])).
% 58.08/9.45 tff(f20486,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (none(nat) != lG1839(X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1839(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1839(X0)))))) = iG1840(X0,X1,X2,X3)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (none(nat) = lG1839(X4) => iG1840(X4,X5,X6,X7) = X7)),
% 58.08/9.45 inference(flattening,[],[f20485])).
% 58.08/9.45 tff(f20485,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (~none(nat) = lG1839(X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1839(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1839(X0)))))) = iG1840(X0,X1,X2,X3)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (none(nat) = lG1839(X4) => iG1840(X4,X5,X6,X7) = X7)),
% 58.08/9.45 inference(rectify,[],[f20420])).
% 58.08/9.45 tff(f20420,plain,(
% 58.08/9.45 ! [X8 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~none(nat) = lG1839(X8) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1839(X8)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),aa(option(nat),nat,the2(nat),lG1839(X8)))))) = iG1840(X8,X10,X3,X0)) & ! [X8 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (none(nat) = lG1839(X8) => iG1840(X8,X10,X3,X0) = X0)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1840])])).
% 58.08/9.45 tff(f100806,plain,(
% 58.08/9.45 spl5880_3803),
% 58.08/9.45 inference(avatar_split_clause,[],[f46105,f100804])).
% 58.08/9.45 tff(f46105,plain,(
% 58.08/9.45 ( ! [X6 : nat,X7 : nat,X4 : vEBT_VEBT,X5 : list(vEBT_VEBT)] : (iG1843(X4,X5,X6,X7) = X7 | none(nat) != lG1842(X4)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27304])).
% 58.08/9.45 tff(f27304,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1842(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1842(X0)))))) = iG1843(X0,X1,X2,X3) | none(nat) = lG1842(X0)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (iG1843(X4,X5,X6,X7) = X7 | none(nat) != lG1842(X4))),
% 58.08/9.45 inference(ennf_transformation,[],[f20481])).
% 58.08/9.45 tff(f20481,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (none(nat) != lG1842(X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1842(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1842(X0)))))) = iG1843(X0,X1,X2,X3)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (none(nat) = lG1842(X4) => iG1843(X4,X5,X6,X7) = X7)),
% 58.08/9.45 inference(flattening,[],[f20480])).
% 58.08/9.45 tff(f20480,plain,(
% 58.08/9.45 ! [X0 : vEBT_VEBT,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat] : (~none(nat) = lG1842(X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1842(X0)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),aa(option(nat),nat,the2(nat),lG1842(X0)))))) = iG1843(X0,X1,X2,X3)) & ! [X4 : vEBT_VEBT,X5 : list(vEBT_VEBT),X6 : nat,X7 : nat] : (none(nat) = lG1842(X4) => iG1843(X4,X5,X6,X7) = X7)),
% 58.08/9.45 inference(rectify,[],[f20425])).
% 58.08/9.45 tff(f20425,plain,(
% 58.08/9.45 ! [X11 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~none(nat) = lG1842(X11) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),lG1842(X11)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),aa(option(nat),nat,the2(nat),lG1842(X11)))))) = iG1843(X11,X10,X3,X4)) & ! [X11 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (none(nat) = lG1842(X11) => iG1843(X11,X10,X3,X4) = X4)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1843])])).
% 58.08/9.45 tff(f100801,plain,(
% 58.08/9.45 spl5880_3802 | ~spl5880_2404 | ~spl5880_2619),
% 58.08/9.45 inference(avatar_split_clause,[],[f94315,f93262,f90662,f100798])).
% 58.08/9.45 tff(f100798,plain,(
% 58.08/9.45 spl5880_3802 <=> sP1998(iG303(imaginary_unit))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3802])])).
% 58.08/9.45 tff(f90662,plain,(
% 58.08/9.45 spl5880_2404 <=> zero_zero(real) = cos(real,iG303(imaginary_unit))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_2404])])).
% 58.08/9.45 tff(f93262,plain,(
% 58.08/9.45 spl5880_2619 <=> ! [X0 : real] : (sP1998(X0) | zero_zero(real) != cos(real,X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_2619])])).
% 58.08/9.45 tff(f94315,plain,(
% 58.08/9.45 sP1998(iG303(imaginary_unit)) | (~spl5880_2404 | ~spl5880_2619)),
% 58.08/9.45 inference(trivial_inequality_removal,[],[f94314])).
% 58.08/9.45 tff(f94314,plain,(
% 58.08/9.45 zero_zero(real) != zero_zero(real) | sP1998(iG303(imaginary_unit)) | (~spl5880_2404 | ~spl5880_2619)),
% 58.08/9.45 inference(superposition,[],[f93263,f90664])).
% 58.08/9.45 tff(f90664,plain,(
% 58.08/9.45 zero_zero(real) = cos(real,iG303(imaginary_unit)) | ~spl5880_2404),
% 58.08/9.45 inference(avatar_component_clause,[],[f90662])).
% 58.08/9.45 tff(f93263,plain,(
% 58.08/9.45 ( ! [X0 : real] : (zero_zero(real) != cos(real,X0) | sP1998(X0)) ) | ~spl5880_2619),
% 58.08/9.45 inference(avatar_component_clause,[],[f93262])).
% 58.08/9.45 tff(f100755,plain,(
% 58.08/9.45 ~spl5880_3801 | ~spl5880_2241 | ~spl5880_2245),
% 58.08/9.45 inference(avatar_split_clause,[],[f92658,f89945,f89927,f100752])).
% 58.08/9.45 tff(f100752,plain,(
% 58.08/9.45 spl5880_3801 <=> m = na),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3801])])).
% 58.08/9.45 tff(f92658,plain,(
% 58.08/9.45 m != na | (~spl5880_2241 | ~spl5880_2245)),
% 58.08/9.45 inference(superposition,[],[f89946,f89929])).
% 58.08/9.45 tff(f100711,plain,(
% 58.08/9.45 ~spl5880_2237 | spl5880_1657 | ~spl5880_2330),
% 58.08/9.45 inference(avatar_split_clause,[],[f90329,f90299,f86861,f89895])).
% 58.08/9.45 tff(f89895,plain,(
% 58.08/9.45 spl5880_2237 <=> mi = iG269),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_2237])])).
% 58.08/9.45 tff(f86861,plain,(
% 58.08/9.45 spl5880_1657 <=> ma = mi),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_1657])])).
% 58.08/9.45 tff(f90329,plain,(
% 58.08/9.45 mi != iG269 | (spl5880_1657 | ~spl5880_2330)),
% 58.08/9.45 inference(superposition,[],[f86863,f90301])).
% 58.08/9.45 tff(f86863,plain,(
% 58.08/9.45 ma != mi | spl5880_1657),
% 58.08/9.45 inference(avatar_component_clause,[],[f86861])).
% 58.08/9.45 tff(f100710,plain,(
% 58.08/9.45 spl5880_3800 | ~spl5880_1536 | ~spl5880_3754),
% 58.08/9.45 inference(avatar_split_clause,[],[f100008,f100005,f86300,f100708])).
% 58.08/9.45 tff(f100708,plain,(
% 58.08/9.45 spl5880_3800 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2198(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3800])])).
% 58.08/9.45 tff(f100005,plain,(
% 58.08/9.45 spl5880_3754 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2198(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3754])])).
% 58.08/9.45 tff(f100008,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2198(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_3754)),
% 58.08/9.45 inference(forward_demodulation,[],[f100006,f86302])).
% 58.08/9.45 tff(f100006,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2198(X0,X1,X2)) ) | ~spl5880_3754),
% 58.08/9.45 inference(avatar_component_clause,[],[f100005])).
% 58.08/9.45 tff(f100706,plain,(
% 58.08/9.45 spl5880_3799 | ~spl5880_1536 | ~spl5880_3753),
% 58.08/9.45 inference(avatar_split_clause,[],[f100003,f100000,f86300,f100704])).
% 58.08/9.45 tff(f100704,plain,(
% 58.08/9.45 spl5880_3799 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2154(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3799])])).
% 58.08/9.45 tff(f100000,plain,(
% 58.08/9.45 spl5880_3753 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2154(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3753])])).
% 58.08/9.45 tff(f100003,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2154(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_3753)),
% 58.08/9.45 inference(forward_demodulation,[],[f100001,f86302])).
% 58.08/9.45 tff(f100001,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2154(X0,X1,X2)) ) | ~spl5880_3753),
% 58.08/9.45 inference(avatar_component_clause,[],[f100000])).
% 58.08/9.45 tff(f100692,plain,(
% 58.08/9.45 spl5880_3798 | ~spl5880_1444 | ~spl5880_2332 | ~spl5880_3797),
% 58.08/9.45 inference(avatar_split_clause,[],[f100672,f100663,f90316,f85787,f100669])).
% 58.08/9.45 tff(f100669,plain,(
% 58.08/9.45 spl5880_3798 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG272) = X1 | ~sP2155(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3798])])).
% 58.08/9.45 tff(f100672,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG272) = X1 | ~sP2155(X0,X1,X2)) ) | (~spl5880_1444 | ~spl5880_2332 | ~spl5880_3797)),
% 58.08/9.45 inference(forward_demodulation,[],[f100664,f100596])).
% 58.08/9.45 tff(f100671,plain,(
% 58.08/9.45 spl5880_3798 | ~spl5880_1444 | ~spl5880_2328 | ~spl5880_2332 | ~spl5880_3797),
% 58.08/9.45 inference(avatar_split_clause,[],[f100667,f100663,f90316,f90287,f85787,f100669])).
% 58.08/9.45 tff(f100667,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG272) = X1 | ~sP2155(X0,X1,X2)) ) | (~spl5880_1444 | ~spl5880_2328 | ~spl5880_2332 | ~spl5880_3797)),
% 58.08/9.45 inference(forward_demodulation,[],[f100666,f100595])).
% 58.08/9.45 tff(f100665,plain,(
% 58.08/9.45 spl5880_3797 | ~spl5880_1536 | ~spl5880_3752),
% 58.08/9.45 inference(avatar_split_clause,[],[f99998,f99995,f86300,f100663])).
% 58.08/9.45 tff(f99995,plain,(
% 58.08/9.45 spl5880_3752 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2155(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3752])])).
% 58.08/9.45 tff(f99998,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2155(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_3752)),
% 58.08/9.45 inference(forward_demodulation,[],[f99996,f86302])).
% 58.08/9.45 tff(f99996,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2155(X0,X1,X2)) ) | ~spl5880_3752),
% 58.08/9.45 inference(avatar_component_clause,[],[f99995])).
% 58.08/9.45 tff(f100642,plain,(
% 58.08/9.45 spl5880_2330 | spl5880_3796),
% 58.08/9.45 inference(avatar_split_clause,[],[f65729,f100639,f90299])).
% 58.08/9.45 tff(f65729,plain,(
% 58.08/9.45 one_one(nat) = iG271 | ma = iG269),
% 58.08/9.45 inference(definition_unfolding,[],[f49262,f49271])).
% 58.08/9.45 tff(f49271,plain,(
% 58.08/9.45 xn91 = iG269),
% 58.08/9.45 inference(cnf_transformation,[],[f9833])).
% 58.08/9.45 tff(f9833,plain,(
% 58.08/9.45 xn91 = iG269),
% 58.08/9.45 introduced(fool_let_definition,[])).
% 58.08/9.45 tff(f49262,plain,(
% 58.08/9.45 one_one(nat) = iG271 | ma = xn91),
% 58.08/9.45 inference(cnf_transformation,[],[f28137])).
% 58.08/9.45 tff(f28137,plain,(
% 58.08/9.45 (one_one(nat) = iG271 | ma = xn91) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn96))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG270)) = iG271 | ma != xn91)),
% 58.08/9.45 inference(ennf_transformation,[],[f22705])).
% 58.08/9.45 tff(f22705,plain,(
% 58.08/9.45 (ma != xn91 => one_one(nat) = iG271) & (ma = xn91 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn96))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG270)) = iG271)),
% 58.08/9.45 inference(flattening,[],[f9841])).
% 58.08/9.45 tff(f9841,plain,(
% 58.08/9.45 (~ma = xn91 => one_one(nat) = iG271) & (ma = xn91 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn96))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG270)) = iG271)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG271])])).
% 58.08/9.45 tff(f100628,plain,(
% 58.08/9.45 spl5880_2327 | spl5880_3795),
% 58.08/9.45 inference(avatar_split_clause,[],[f65707,f100590,f90283])).
% 58.08/9.45 tff(f65707,plain,(
% 58.08/9.45 one_one(nat) = iG289 | ma = iG287),
% 58.08/9.45 inference(definition_unfolding,[],[f49208,f49217])).
% 58.08/9.45 tff(f49217,plain,(
% 58.08/9.45 xn84 = iG287),
% 58.08/9.45 inference(cnf_transformation,[],[f9874])).
% 58.08/9.45 tff(f9874,plain,(
% 58.08/9.45 xn84 = iG287),
% 58.08/9.45 introduced(fool_let_definition,[])).
% 58.08/9.45 tff(f49208,plain,(
% 58.08/9.45 one_one(nat) = iG289 | ma = xn84),
% 58.08/9.45 inference(cnf_transformation,[],[f28118])).
% 58.08/9.45 tff(f28118,plain,(
% 58.08/9.45 (one_one(nat) = iG289 | ma = xn84) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn89))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG288)) = iG289 | ma != xn84)),
% 58.08/9.45 inference(ennf_transformation,[],[f22688])).
% 58.08/9.45 tff(f22688,plain,(
% 58.08/9.45 (ma != xn84 => one_one(nat) = iG289) & (ma = xn84 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn89))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG288)) = iG289)),
% 58.08/9.45 inference(flattening,[],[f9882])).
% 58.08/9.45 tff(f9882,plain,(
% 58.08/9.45 (~ma = xn84 => one_one(nat) = iG289) & (ma = xn84 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),vEBT_T_m_a_x_t(sn89))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG288)) = iG289)),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG289])])).
% 58.08/9.45 tff(f100593,plain,(
% 58.08/9.45 spl5880_3795 | spl5880_3785 | ~spl5880_2330),
% 58.08/9.45 inference(avatar_split_clause,[],[f100560,f90299,f100513,f100590])).
% 58.08/9.45 tff(f100560,plain,(
% 58.08/9.45 iG269 = iG287 | one_one(nat) = iG289 | ~spl5880_2330),
% 58.08/9.45 inference(forward_demodulation,[],[f65707,f90301])).
% 58.08/9.45 tff(f100555,plain,(
% 58.08/9.45 spl5880_3785 | ~spl5880_2327 | ~spl5880_2330),
% 58.08/9.45 inference(avatar_split_clause,[],[f90327,f90299,f90283,f100513])).
% 58.08/9.45 tff(f90327,plain,(
% 58.08/9.45 iG269 = iG287 | (~spl5880_2327 | ~spl5880_2330)),
% 58.08/9.45 inference(superposition,[],[f90301,f90285])).
% 58.08/9.45 tff(f100554,plain,(
% 58.08/9.45 spl5880_3794 | ~spl5880_1536 | ~spl5880_3751),
% 58.08/9.45 inference(avatar_split_clause,[],[f99993,f99990,f86300,f100552])).
% 58.08/9.45 tff(f100552,plain,(
% 58.08/9.45 spl5880_3794 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2156(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3794])])).
% 58.08/9.45 tff(f99990,plain,(
% 58.08/9.45 spl5880_3751 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2156(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3751])])).
% 58.08/9.45 tff(f99993,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG714($true)) = X1 | ~sP2156(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_3751)),
% 58.08/9.45 inference(forward_demodulation,[],[f99991,f86302])).
% 58.08/9.45 tff(f99991,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2156(X0,X1,X2)) ) | ~spl5880_3751),
% 58.08/9.45 inference(avatar_component_clause,[],[f99990])).
% 58.08/9.45 tff(f100550,plain,(
% 58.08/9.45 spl5880_3793 | ~spl5880_1536 | ~spl5880_3750),
% 58.08/9.45 inference(avatar_split_clause,[],[f99988,f99985,f86300,f100548])).
% 58.08/9.45 tff(f100548,plain,(
% 58.08/9.45 spl5880_3793 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3793])])).
% 58.08/9.45 tff(f99985,plain,(
% 58.08/9.45 spl5880_3750 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3750])])).
% 58.08/9.45 tff(f99988,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3750)),
% 58.08/9.45 inference(forward_demodulation,[],[f99986,f86302])).
% 58.08/9.45 tff(f99986,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) ) | ~spl5880_3750),
% 58.08/9.45 inference(avatar_component_clause,[],[f99985])).
% 58.08/9.45 tff(f100546,plain,(
% 58.08/9.45 spl5880_3792 | ~spl5880_1536 | ~spl5880_3749),
% 58.08/9.45 inference(avatar_split_clause,[],[f99983,f99980,f86300,f100544])).
% 58.08/9.45 tff(f100544,plain,(
% 58.08/9.45 spl5880_3792 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3792])])).
% 58.08/9.45 tff(f99980,plain,(
% 58.08/9.45 spl5880_3749 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3749])])).
% 58.08/9.45 tff(f99983,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3749)),
% 58.08/9.45 inference(forward_demodulation,[],[f99981,f86302])).
% 58.08/9.45 tff(f99981,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) ) | ~spl5880_3749),
% 58.08/9.45 inference(avatar_component_clause,[],[f99980])).
% 58.08/9.45 tff(f100542,plain,(
% 58.08/9.45 spl5880_3791 | ~spl5880_1536 | ~spl5880_3748),
% 58.08/9.45 inference(avatar_split_clause,[],[f99978,f99975,f86300,f100540])).
% 58.08/9.45 tff(f100540,plain,(
% 58.08/9.45 spl5880_3791 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3791])])).
% 58.08/9.45 tff(f99975,plain,(
% 58.08/9.45 spl5880_3748 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3748])])).
% 58.08/9.45 tff(f99978,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3748)),
% 58.08/9.45 inference(forward_demodulation,[],[f99976,f86302])).
% 58.08/9.45 tff(f99976,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) ) | ~spl5880_3748),
% 58.08/9.45 inference(avatar_component_clause,[],[f99975])).
% 58.08/9.45 tff(f100538,plain,(
% 58.08/9.45 spl5880_3790 | ~spl5880_1544 | ~spl5880_3747),
% 58.08/9.45 inference(avatar_split_clause,[],[f99973,f99970,f86336,f100536])).
% 58.08/9.45 tff(f100536,plain,(
% 58.08/9.45 spl5880_3790 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1))) = iG717($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3790])])).
% 58.08/9.45 tff(f99970,plain,(
% 58.08/9.45 spl5880_3747 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1))) = iG894($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3747])])).
% 58.08/9.45 tff(f99973,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1))) = iG717($true)) ) | (~spl5880_1544 | ~spl5880_3747)),
% 58.08/9.45 inference(forward_demodulation,[],[f99971,f86338])).
% 58.08/9.45 tff(f99971,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1))) = iG894($true)) ) | ~spl5880_3747),
% 58.08/9.45 inference(avatar_component_clause,[],[f99970])).
% 58.08/9.45 tff(f100534,plain,(
% 58.08/9.45 spl5880_3789 | ~spl5880_1544 | ~spl5880_3746),
% 58.08/9.45 inference(avatar_split_clause,[],[f99968,f99965,f86336,f100532])).
% 58.08/9.45 tff(f100532,plain,(
% 58.08/9.45 spl5880_3789 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1))) = iG717($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3789])])).
% 58.08/9.45 tff(f99965,plain,(
% 58.08/9.45 spl5880_3746 <=> ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1))) = iG894($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3746])])).
% 58.08/9.45 tff(f99968,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1))) = iG717($true)) ) | (~spl5880_1544 | ~spl5880_3746)),
% 58.08/9.45 inference(forward_demodulation,[],[f99966,f86338])).
% 58.08/9.45 tff(f99966,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1))) = iG894($true)) ) | ~spl5880_3746),
% 58.08/9.45 inference(avatar_component_clause,[],[f99965])).
% 58.08/9.45 tff(f100530,plain,(
% 58.08/9.45 spl5880_3788 | ~spl5880_1536 | ~spl5880_3745),
% 58.08/9.45 inference(avatar_split_clause,[],[f99963,f99960,f86300,f100528])).
% 58.08/9.45 tff(f100528,plain,(
% 58.08/9.45 spl5880_3788 <=> ! [X0 : $o,X1 : $o] : iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),iG714($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3788])])).
% 58.08/9.45 tff(f99960,plain,(
% 58.08/9.45 spl5880_3745 <=> ! [X0 : $o,X1 : $o] : iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),iG1228($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3745])])).
% 58.08/9.45 tff(f99963,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_3745)),
% 58.08/9.45 inference(forward_demodulation,[],[f99961,f86302])).
% 58.08/9.45 tff(f99961,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),iG1228($true))) ) | ~spl5880_3745),
% 58.08/9.45 inference(avatar_component_clause,[],[f99960])).
% 58.08/9.45 tff(f100526,plain,(
% 58.08/9.45 spl5880_3787 | ~spl5880_1544 | ~spl5880_3744),
% 58.08/9.45 inference(avatar_split_clause,[],[f99958,f99955,f86336,f100524])).
% 58.08/9.45 tff(f100524,plain,(
% 58.08/9.45 spl5880_3787 <=> ! [X0 : $o,X1 : $o] : none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),iG717($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3787])])).
% 58.08/9.45 tff(f99955,plain,(
% 58.08/9.45 spl5880_3744 <=> ! [X0 : $o,X1 : $o] : none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),iG894($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3744])])).
% 58.08/9.45 tff(f99958,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3744)),
% 58.08/9.45 inference(forward_demodulation,[],[f99956,f86338])).
% 58.08/9.45 tff(f99956,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),iG894($true))) ) | ~spl5880_3744),
% 58.08/9.45 inference(avatar_component_clause,[],[f99955])).
% 58.08/9.45 tff(f100522,plain,(
% 58.08/9.45 spl5880_3786 | ~spl5880_1544 | ~spl5880_3743),
% 58.08/9.45 inference(avatar_split_clause,[],[f99953,f99950,f86336,f100520])).
% 58.08/9.45 tff(f100520,plain,(
% 58.08/9.45 spl5880_3786 <=> ! [X0 : $o,X1 : $o] : iG740(X1) = vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),iG717($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3786])])).
% 58.08/9.45 tff(f99950,plain,(
% 58.08/9.45 spl5880_3743 <=> ! [X0 : $o,X1 : $o] : iG740(X1) = vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),iG894($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3743])])).
% 58.08/9.45 tff(f99953,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG740(X1) = vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3743)),
% 58.08/9.45 inference(forward_demodulation,[],[f99951,f86338])).
% 58.08/9.45 tff(f99951,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG740(X1) = vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),iG894($true))) ) | ~spl5880_3743),
% 58.08/9.45 inference(avatar_component_clause,[],[f99950])).
% 58.08/9.45 tff(f100516,plain,(
% 58.08/9.45 ~spl5880_3785 | spl5880_1553 | ~spl5880_2237),
% 58.08/9.45 inference(avatar_split_clause,[],[f89920,f89895,f86392,f100513])).
% 58.08/9.45 tff(f86392,plain,(
% 58.08/9.45 spl5880_1553 <=> mi = iG287),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_1553])])).
% 58.08/9.45 tff(f89920,plain,(
% 58.08/9.45 iG269 != iG287 | (spl5880_1553 | ~spl5880_2237)),
% 58.08/9.45 inference(superposition,[],[f86394,f89897])).
% 58.08/9.45 tff(f89897,plain,(
% 58.08/9.45 mi = iG269 | ~spl5880_2237),
% 58.08/9.45 inference(avatar_component_clause,[],[f89895])).
% 58.08/9.45 tff(f86394,plain,(
% 58.08/9.45 mi != iG287 | spl5880_1553),
% 58.08/9.45 inference(avatar_component_clause,[],[f86392])).
% 58.08/9.45 tff(f100511,plain,(
% 58.08/9.45 spl5880_3784 | ~spl5880_1544 | ~spl5880_3741),
% 58.08/9.45 inference(avatar_split_clause,[],[f99944,f99941,f86336,f100509])).
% 58.08/9.45 tff(f100509,plain,(
% 58.08/9.45 spl5880_3784 <=> ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2999(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3784])])).
% 58.08/9.45 tff(f99941,plain,(
% 58.08/9.45 spl5880_3741 <=> ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2999(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3741])])).
% 58.08/9.45 tff(f99944,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2999(X0)) = X0) ) | (~spl5880_1544 | ~spl5880_3741)),
% 58.08/9.45 inference(forward_demodulation,[],[f99942,f86338])).
% 58.08/9.45 tff(f99942,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2999(X0)) = X0) ) | ~spl5880_3741),
% 58.08/9.45 inference(avatar_component_clause,[],[f99941])).
% 58.08/9.45 tff(f100507,plain,(
% 58.08/9.45 spl5880_3783 | ~spl5880_1544 | ~spl5880_3740),
% 58.08/9.45 inference(avatar_split_clause,[],[f99939,f99936,f86336,f100505])).
% 58.08/9.45 tff(f100505,plain,(
% 58.08/9.45 spl5880_3783 <=> ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2998(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3783])])).
% 58.08/9.45 tff(f99936,plain,(
% 58.08/9.45 spl5880_3740 <=> ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2998(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3740])])).
% 58.08/9.45 tff(f99939,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2998(X0)) = X0) ) | (~spl5880_1544 | ~spl5880_3740)),
% 58.08/9.45 inference(forward_demodulation,[],[f99937,f86338])).
% 58.08/9.45 tff(f99937,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2998(X0)) = X0) ) | ~spl5880_3740),
% 58.08/9.45 inference(avatar_component_clause,[],[f99936])).
% 58.08/9.45 tff(f100503,plain,(
% 58.08/9.45 spl5880_3782 | ~spl5880_1544 | ~spl5880_3739),
% 58.08/9.45 inference(avatar_split_clause,[],[f99934,f99931,f86336,f100501])).
% 58.08/9.45 tff(f100501,plain,(
% 58.08/9.45 spl5880_3782 <=> ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2997(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3782])])).
% 58.08/9.45 tff(f99931,plain,(
% 58.08/9.45 spl5880_3739 <=> ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2997(X0)) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3739])])).
% 58.08/9.45 tff(f99934,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG717($true) = X0 | aa(nat,nat,suc,sK2997(X0)) = X0) ) | (~spl5880_1544 | ~spl5880_3739)),
% 58.08/9.45 inference(forward_demodulation,[],[f99932,f86338])).
% 58.08/9.45 tff(f99932,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2997(X0)) = X0) ) | ~spl5880_3739),
% 58.08/9.45 inference(avatar_component_clause,[],[f99931])).
% 58.08/9.45 tff(f100499,plain,(
% 58.08/9.45 spl5880_3781 | ~spl5880_1544 | ~spl5880_3738),
% 58.08/9.45 inference(avatar_split_clause,[],[f99929,f99926,f86336,f100497])).
% 58.08/9.45 tff(f100497,plain,(
% 58.08/9.45 spl5880_3781 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3781])])).
% 58.08/9.45 tff(f99926,plain,(
% 58.08/9.45 spl5880_3738 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3738])])).
% 58.08/9.45 tff(f99929,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) ) | (~spl5880_1544 | ~spl5880_3738)),
% 58.08/9.45 inference(forward_demodulation,[],[f99927,f86338])).
% 58.08/9.45 tff(f99927,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl5880_3738),
% 58.08/9.45 inference(avatar_component_clause,[],[f99926])).
% 58.08/9.45 tff(f100494,plain,(
% 58.08/9.45 spl5880_3780 | ~spl5880_1536 | ~spl5880_3736),
% 58.08/9.45 inference(avatar_split_clause,[],[f99920,f99917,f86300,f100492])).
% 58.08/9.45 tff(f100492,plain,(
% 58.08/9.45 spl5880_3780 <=> ! [X0 : $tType] : aa(option(X0),nat,size_size(option(X0)),none(X0)) = iG714($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3780])])).
% 58.08/9.45 tff(f99917,plain,(
% 58.08/9.45 spl5880_3736 <=> ! [X0 : $tType] : aa(option(X0),nat,size_size(option(X0)),none(X0)) = iG1228($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3736])])).
% 58.08/9.45 tff(f99920,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(option(X0),nat,size_size(option(X0)),none(X0)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3736)),
% 58.08/9.45 inference(forward_demodulation,[],[f99918,f86302])).
% 58.08/9.45 tff(f99918,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(option(X0),nat,size_size(option(X0)),none(X0)) = iG1228($true)) ) | ~spl5880_3736),
% 58.08/9.45 inference(avatar_component_clause,[],[f99917])).
% 58.08/9.45 tff(f100486,plain,(
% 58.08/9.45 spl5880_3779 | ~spl5880_1544 | ~spl5880_3734),
% 58.08/9.45 inference(avatar_split_clause,[],[f99911,f99908,f86336,f100484])).
% 58.08/9.45 tff(f100484,plain,(
% 58.08/9.45 spl5880_3779 <=> ! [X0 : $tType] : aa(list(X0),nat,size_size(list(X0)),nil(X0)) = iG717($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3779])])).
% 58.08/9.45 tff(f99908,plain,(
% 58.08/9.45 spl5880_3734 <=> ! [X0 : $tType] : aa(list(X0),nat,size_size(list(X0)),nil(X0)) = iG894($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3734])])).
% 58.08/9.45 tff(f99911,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(list(X0),nat,size_size(list(X0)),nil(X0)) = iG717($true)) ) | (~spl5880_1544 | ~spl5880_3734)),
% 58.08/9.45 inference(forward_demodulation,[],[f99909,f86338])).
% 58.08/9.45 tff(f99909,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(list(X0),nat,size_size(list(X0)),nil(X0)) = iG894($true)) ) | ~spl5880_3734),
% 58.08/9.45 inference(avatar_component_clause,[],[f99908])).
% 58.08/9.45 tff(f100482,plain,(
% 58.08/9.45 spl5880_3778 | ~spl5880_721 | ~spl5880_1596),
% 58.08/9.45 inference(avatar_split_clause,[],[f87481,f86576,f82048,f100479])).
% 58.08/9.45 tff(f86576,plain,(
% 58.08/9.45 spl5880_1596 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_1596])])).
% 58.08/9.45 tff(f87481,plain,(
% 58.08/9.45 sP2108(summary,m) | (~spl5880_721 | ~spl5880_1596)),
% 58.08/9.45 inference(resolution,[],[f86577,f82050])).
% 58.08/9.45 tff(f86577,plain,(
% 58.08/9.45 ( ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_invar_vebt(X0,X1) | sP2108(X0,X1)) ) | ~spl5880_1596),
% 58.08/9.45 inference(avatar_component_clause,[],[f86576])).
% 58.08/9.45 tff(f100476,plain,(
% 58.08/9.45 spl5880_3777 | ~spl5880_1536 | ~spl5880_3728),
% 58.08/9.45 inference(avatar_split_clause,[],[f99881,f99877,f86300,f100473])).
% 58.08/9.45 tff(f100473,plain,(
% 58.08/9.45 spl5880_3777 <=> aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))) = iG714($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3777])])).
% 58.08/9.45 tff(f99877,plain,(
% 58.08/9.45 spl5880_3728 <=> aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))) = iG1228($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3728])])).
% 58.08/9.45 tff(f99881,plain,(
% 58.08/9.45 aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))) = iG714($true) | (~spl5880_1536 | ~spl5880_3728)),
% 58.08/9.45 inference(forward_demodulation,[],[f99879,f86302])).
% 58.08/9.45 tff(f99879,plain,(
% 58.08/9.45 aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))) = iG1228($true) | ~spl5880_3728),
% 58.08/9.45 inference(avatar_component_clause,[],[f99877])).
% 58.08/9.45 tff(f100471,plain,(
% 58.08/9.45 spl5880_3776 | ~spl5880_1544 | ~spl5880_3727),
% 58.08/9.45 inference(avatar_split_clause,[],[f99875,f99872,f86336,f100469])).
% 58.08/9.45 tff(f100469,plain,(
% 58.08/9.45 spl5880_3776 <=> ! [X0 : nat] : (aa(nat,nat,suc,iG717($true)) = X0 | ($true = bG323(X0)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3776])])).
% 58.08/9.45 tff(f99872,plain,(
% 58.08/9.45 spl5880_3727 <=> ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | ($true = bG323(X0)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3727])])).
% 58.08/9.45 tff(f99875,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,iG717($true)) = X0 | ($true = bG323(X0))) ) | (~spl5880_1544 | ~spl5880_3727)),
% 58.08/9.45 inference(forward_demodulation,[],[f99873,f86338])).
% 58.08/9.45 tff(f99873,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | ($true = bG323(X0))) ) | ~spl5880_3727),
% 58.08/9.45 inference(avatar_component_clause,[],[f99872])).
% 58.08/9.45 tff(f100467,plain,(
% 58.08/9.45 spl5880_3775 | ~spl5880_1544 | ~spl5880_3726),
% 58.08/9.45 inference(avatar_split_clause,[],[f99870,f99867,f86336,f100465])).
% 58.08/9.45 tff(f100465,plain,(
% 58.08/9.45 spl5880_3775 <=> ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG717($true),X1) | zero_zero(X0) = iG430(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3775])])).
% 58.08/9.45 tff(f99867,plain,(
% 58.08/9.45 spl5880_3726 <=> ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG430(X0,X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3726])])).
% 58.08/9.45 tff(f99870,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG717($true),X1) | zero_zero(X0) = iG430(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_3726)),
% 58.08/9.45 inference(forward_demodulation,[],[f99868,f86338])).
% 58.08/9.45 tff(f99868,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG430(X0,X1,X2)) ) | ~spl5880_3726),
% 58.08/9.45 inference(avatar_component_clause,[],[f99867])).
% 58.08/9.45 tff(f100463,plain,(
% 58.08/9.45 spl5880_3774 | ~spl5880_1544 | ~spl5880_3725),
% 58.08/9.45 inference(avatar_split_clause,[],[f99865,f99861,f86336,f100460])).
% 58.08/9.45 tff(f100460,plain,(
% 58.08/9.45 spl5880_3774 <=> iG720($true) = aa(nat,option(nat),some(nat),iG717($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3774])])).
% 58.08/9.45 tff(f99861,plain,(
% 58.08/9.45 spl5880_3725 <=> iG720($true) = aa(nat,option(nat),some(nat),iG894($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3725])])).
% 58.08/9.45 tff(f99865,plain,(
% 58.08/9.45 iG720($true) = aa(nat,option(nat),some(nat),iG717($true)) | (~spl5880_1544 | ~spl5880_3725)),
% 58.08/9.45 inference(forward_demodulation,[],[f99863,f86338])).
% 58.08/9.45 tff(f99863,plain,(
% 58.08/9.45 iG720($true) = aa(nat,option(nat),some(nat),iG894($true)) | ~spl5880_3725),
% 58.08/9.45 inference(avatar_component_clause,[],[f99861])).
% 58.08/9.45 tff(f100458,plain,(
% 58.08/9.45 spl5880_3773 | ~spl5880_1536 | ~spl5880_3724),
% 58.08/9.45 inference(avatar_split_clause,[],[f99859,f99855,f86300,f100455])).
% 58.08/9.45 tff(f99855,plain,(
% 58.08/9.45 spl5880_3724 <=> iG724($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3724])])).
% 58.08/9.45 tff(f99859,plain,(
% 58.08/9.45 iG724($true) = aa(nat,option(nat),some(nat),iG714($true)) | (~spl5880_1536 | ~spl5880_3724)),
% 58.08/9.45 inference(forward_demodulation,[],[f99857,f86302])).
% 58.08/9.45 tff(f99857,plain,(
% 58.08/9.45 iG724($true) = aa(nat,option(nat),some(nat),iG1228($true)) | ~spl5880_3724),
% 58.08/9.45 inference(avatar_component_clause,[],[f99855])).
% 58.08/9.45 tff(f100448,plain,(
% 58.08/9.45 spl5880_3772 | ~spl5880_721 | ~spl5880_1587),
% 58.08/9.45 inference(avatar_split_clause,[],[f87475,f86539,f82048,f100445])).
% 58.08/9.45 tff(f86539,plain,(
% 58.08/9.45 spl5880_1587 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_1587])])).
% 58.08/9.45 tff(f87475,plain,(
% 58.08/9.45 vEBT_VEBT_valid(summary,m) | (~spl5880_721 | ~spl5880_1587)),
% 58.08/9.45 inference(resolution,[],[f86540,f82050])).
% 58.08/9.45 tff(f86540,plain,(
% 58.08/9.45 ( ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_invar_vebt(X0,X1) | vEBT_VEBT_valid(X0,X1)) ) | ~spl5880_1587),
% 58.08/9.45 inference(avatar_component_clause,[],[f86539])).
% 58.08/9.45 tff(f100395,plain,(
% 58.08/9.45 spl5880_3771 | ~spl5880_753 | ~spl5880_818),
% 58.08/9.45 inference(avatar_split_clause,[],[f85319,f82440,f82177,f100393])).
% 58.08/9.45 tff(f100393,plain,(
% 58.08/9.45 spl5880_3771 <=> ! [X0 : $tType] : sP1989(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3771])])).
% 58.08/9.45 tff(f82177,plain,(
% 58.08/9.45 spl5880_753 <=> ! [X0 : $tType] : order(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_753])])).
% 58.08/9.45 tff(f82440,plain,(
% 58.08/9.45 spl5880_818 <=> ! [X0 : $tType] : (sP1989(X0) | ~order(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_818])])).
% 58.08/9.45 tff(f85319,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1989(set(X0))) ) | (~spl5880_753 | ~spl5880_818)),
% 58.08/9.45 inference(resolution,[],[f82441,f82178])).
% 58.08/9.45 tff(f82178,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (order(set(X0))) ) | ~spl5880_753),
% 58.08/9.45 inference(avatar_component_clause,[],[f82177])).
% 58.08/9.45 tff(f82441,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (~order(X0) | sP1989(X0)) ) | ~spl5880_818),
% 58.08/9.45 inference(avatar_component_clause,[],[f82440])).
% 58.08/9.45 tff(f100371,plain,(
% 58.08/9.45 spl5880_3770 | ~spl5880_1544 | ~spl5880_3725 | ~spl5880_3769),
% 58.08/9.45 inference(avatar_split_clause,[],[f100366,f100362,f99861,f86336,f100368])).
% 58.08/9.45 tff(f100368,plain,(
% 58.08/9.45 spl5880_3770 <=> iG899($true) = iG720($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3770])])).
% 58.08/9.45 tff(f100362,plain,(
% 58.08/9.45 spl5880_3769 <=> iG899($true) = aa(nat,option(nat),some(nat),iG717($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3769])])).
% 58.08/9.45 tff(f100366,plain,(
% 58.08/9.45 iG899($true) = iG720($true) | (~spl5880_1544 | ~spl5880_3725 | ~spl5880_3769)),
% 58.08/9.45 inference(forward_demodulation,[],[f100364,f99865])).
% 58.08/9.45 tff(f100364,plain,(
% 58.08/9.45 iG899($true) = aa(nat,option(nat),some(nat),iG717($true)) | ~spl5880_3769),
% 58.08/9.45 inference(avatar_component_clause,[],[f100362])).
% 58.08/9.45 tff(f100365,plain,(
% 58.08/9.45 spl5880_3769 | ~spl5880_1443 | ~spl5880_3700),
% 58.08/9.45 inference(avatar_split_clause,[],[f99745,f99741,f85782,f100362])).
% 58.08/9.45 tff(f99741,plain,(
% 58.08/9.45 spl5880_3700 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3700])])).
% 58.08/9.45 tff(f99745,plain,(
% 58.08/9.45 iG899($true) = aa(nat,option(nat),some(nat),iG717($true)) | (~spl5880_1443 | ~spl5880_3700)),
% 58.08/9.45 inference(forward_demodulation,[],[f99743,f85784])).
% 58.08/9.45 tff(f99743,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899($true) | ~spl5880_3700),
% 58.08/9.45 inference(avatar_component_clause,[],[f99741])).
% 58.08/9.45 tff(f100359,plain,(
% 58.08/9.45 spl5880_3768 | ~spl5880_1536 | ~spl5880_3724 | ~spl5880_3767),
% 58.08/9.45 inference(avatar_split_clause,[],[f100354,f100350,f99855,f86300,f100356])).
% 58.08/9.45 tff(f100356,plain,(
% 58.08/9.45 spl5880_3768 <=> iG1397($true) = iG724($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3768])])).
% 58.08/9.45 tff(f100350,plain,(
% 58.08/9.45 spl5880_3767 <=> iG1397($true) = aa(nat,option(nat),some(nat),iG714($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3767])])).
% 58.08/9.45 tff(f100354,plain,(
% 58.08/9.45 iG1397($true) = iG724($true) | (~spl5880_1536 | ~spl5880_3724 | ~spl5880_3767)),
% 58.08/9.45 inference(forward_demodulation,[],[f100352,f99859])).
% 58.08/9.45 tff(f100352,plain,(
% 58.08/9.45 iG1397($true) = aa(nat,option(nat),some(nat),iG714($true)) | ~spl5880_3767),
% 58.08/9.45 inference(avatar_component_clause,[],[f100350])).
% 58.08/9.45 tff(f100353,plain,(
% 58.08/9.45 spl5880_3767 | ~spl5880_1444 | ~spl5880_3691),
% 58.08/9.45 inference(avatar_split_clause,[],[f99691,f99687,f85787,f100350])).
% 58.08/9.45 tff(f99687,plain,(
% 58.08/9.45 spl5880_3691 <=> aa(nat,option(nat),some(nat),one_one(nat)) = iG1397($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3691])])).
% 58.08/9.45 tff(f99691,plain,(
% 58.08/9.45 iG1397($true) = aa(nat,option(nat),some(nat),iG714($true)) | (~spl5880_1444 | ~spl5880_3691)),
% 58.08/9.45 inference(forward_demodulation,[],[f99689,f85789])).
% 58.08/9.45 tff(f99689,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG1397($true) | ~spl5880_3691),
% 58.08/9.45 inference(avatar_component_clause,[],[f99687])).
% 58.08/9.45 tff(f100346,plain,(
% 58.08/9.45 spl5880_3766 | ~spl5880_752 | ~spl5880_818),
% 58.08/9.45 inference(avatar_split_clause,[],[f85317,f82440,f82173,f100344])).
% 58.08/9.45 tff(f100344,plain,(
% 58.08/9.45 spl5880_3766 <=> ! [X0 : $tType] : sP1989(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3766])])).
% 58.08/9.45 tff(f82173,plain,(
% 58.08/9.45 spl5880_752 <=> ! [X0 : $tType] : order(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_752])])).
% 58.08/9.45 tff(f85317,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1989(filter(X0))) ) | (~spl5880_752 | ~spl5880_818)),
% 58.08/9.45 inference(resolution,[],[f82441,f82174])).
% 58.08/9.45 tff(f82174,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (order(filter(X0))) ) | ~spl5880_752),
% 58.08/9.45 inference(avatar_component_clause,[],[f82173])).
% 58.08/9.45 tff(f100314,plain,(
% 58.08/9.45 spl5880_3765 | ~spl5880_753 | ~spl5880_817),
% 58.08/9.45 inference(avatar_split_clause,[],[f85308,f82436,f82177,f100312])).
% 58.08/9.45 tff(f100312,plain,(
% 58.08/9.45 spl5880_3765 <=> ! [X0 : $tType] : sP1986(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3765])])).
% 58.08/9.45 tff(f82436,plain,(
% 58.08/9.45 spl5880_817 <=> ! [X0 : $tType] : (sP1986(X0) | ~order(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_817])])).
% 58.08/9.45 tff(f85308,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1986(set(X0))) ) | (~spl5880_753 | ~spl5880_817)),
% 58.08/9.45 inference(resolution,[],[f82437,f82178])).
% 58.08/9.45 tff(f82437,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (~order(X0) | sP1986(X0)) ) | ~spl5880_817),
% 58.08/9.45 inference(avatar_component_clause,[],[f82436])).
% 58.08/9.45 tff(f100288,plain,(
% 58.08/9.45 spl5880_3764 | ~spl5880_752 | ~spl5880_817),
% 58.08/9.45 inference(avatar_split_clause,[],[f85306,f82436,f82173,f100286])).
% 58.08/9.45 tff(f100286,plain,(
% 58.08/9.45 spl5880_3764 <=> ! [X0 : $tType] : sP1986(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3764])])).
% 58.08/9.45 tff(f85306,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1986(filter(X0))) ) | (~spl5880_752 | ~spl5880_817)),
% 58.08/9.45 inference(resolution,[],[f82437,f82174])).
% 58.08/9.45 tff(f100284,plain,(
% 58.08/9.45 spl5880_3763 | ~spl5880_751 | ~spl5880_816),
% 58.08/9.45 inference(avatar_split_clause,[],[f85297,f82432,f82169,f100282])).
% 58.08/9.45 tff(f100282,plain,(
% 58.08/9.45 spl5880_3763 <=> ! [X0 : $tType] : sP1984(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3763])])).
% 58.08/9.45 tff(f82169,plain,(
% 58.08/9.45 spl5880_751 <=> ! [X0 : $tType] : ord(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_751])])).
% 58.08/9.45 tff(f82432,plain,(
% 58.08/9.45 spl5880_816 <=> ! [X0 : $tType] : (sP1984(X0) | ~ord(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_816])])).
% 58.08/9.45 tff(f85297,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1984(set(X0))) ) | (~spl5880_751 | ~spl5880_816)),
% 58.08/9.45 inference(resolution,[],[f82433,f82170])).
% 58.08/9.45 tff(f82170,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (ord(set(X0))) ) | ~spl5880_751),
% 58.08/9.45 inference(avatar_component_clause,[],[f82169])).
% 58.08/9.45 tff(f82433,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (~ord(X0) | sP1984(X0)) ) | ~spl5880_816),
% 58.08/9.45 inference(avatar_component_clause,[],[f82432])).
% 58.08/9.45 tff(f100274,plain,(
% 58.08/9.45 spl5880_3762 | ~spl5880_750 | ~spl5880_816),
% 58.08/9.45 inference(avatar_split_clause,[],[f85295,f82432,f82165,f100272])).
% 58.08/9.45 tff(f100272,plain,(
% 58.08/9.45 spl5880_3762 <=> ! [X0 : $tType] : sP1984(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3762])])).
% 58.08/9.45 tff(f82165,plain,(
% 58.08/9.45 spl5880_750 <=> ! [X0 : $tType] : ord(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_750])])).
% 58.08/9.45 tff(f85295,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1984(filter(X0))) ) | (~spl5880_750 | ~spl5880_816)),
% 58.08/9.45 inference(resolution,[],[f82433,f82166])).
% 58.08/9.45 tff(f82166,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (ord(filter(X0))) ) | ~spl5880_750),
% 58.08/9.45 inference(avatar_component_clause,[],[f82165])).
% 58.08/9.45 tff(f100214,plain,(
% 58.08/9.45 spl5880_3761 | ~spl5880_749 | ~spl5880_815),
% 58.08/9.45 inference(avatar_split_clause,[],[f85286,f82428,f82161,f100212])).
% 58.08/9.45 tff(f100212,plain,(
% 58.08/9.45 spl5880_3761 <=> ! [X0 : $tType] : sP1980(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3761])])).
% 58.08/9.45 tff(f82161,plain,(
% 58.08/9.45 spl5880_749 <=> ! [X0 : $tType] : preorder(set(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_749])])).
% 58.08/9.45 tff(f82428,plain,(
% 58.08/9.45 spl5880_815 <=> ! [X0 : $tType] : (sP1980(X0) | ~preorder(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_815])])).
% 58.08/9.45 tff(f85286,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1980(set(X0))) ) | (~spl5880_749 | ~spl5880_815)),
% 58.08/9.45 inference(resolution,[],[f82429,f82162])).
% 58.08/9.45 tff(f82162,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (preorder(set(X0))) ) | ~spl5880_749),
% 58.08/9.45 inference(avatar_component_clause,[],[f82161])).
% 58.08/9.45 tff(f82429,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (~preorder(X0) | sP1980(X0)) ) | ~spl5880_815),
% 58.08/9.45 inference(avatar_component_clause,[],[f82428])).
% 58.08/9.45 tff(f100187,plain,(
% 58.08/9.45 spl5880_3760 | ~spl5880_748 | ~spl5880_815),
% 58.08/9.45 inference(avatar_split_clause,[],[f85284,f82428,f82157,f100185])).
% 58.08/9.45 tff(f100185,plain,(
% 58.08/9.45 spl5880_3760 <=> ! [X0 : $tType] : sP1980(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3760])])).
% 58.08/9.45 tff(f82157,plain,(
% 58.08/9.45 spl5880_748 <=> ! [X0 : $tType] : preorder(filter(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_748])])).
% 58.08/9.45 tff(f85284,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (sP1980(filter(X0))) ) | (~spl5880_748 | ~spl5880_815)),
% 58.08/9.45 inference(resolution,[],[f82429,f82158])).
% 58.08/9.45 tff(f82158,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (preorder(filter(X0))) ) | ~spl5880_748),
% 58.08/9.45 inference(avatar_component_clause,[],[f82157])).
% 58.08/9.45 tff(f100086,plain,(
% 58.08/9.45 ~spl5880_3759 | ~spl5880_2326 | ~spl5880_3471 | spl5880_3758),
% 58.08/9.45 inference(avatar_split_clause,[],[f100041,f100037,f98146,f90279,f100083])).
% 58.08/9.45 tff(f100083,plain,(
% 58.08/9.45 spl5880_3759 <=> vEBT_invar_vebt(newnode74,na)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3759])])).
% 58.08/9.45 tff(f98146,plain,(
% 58.08/9.45 spl5880_3471 <=> newnode74 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3471])])).
% 58.08/9.45 tff(f100037,plain,(
% 58.08/9.45 spl5880_3758 <=> vEBT_invar_vebt(lG1811(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3758])])).
% 58.08/9.45 tff(f100041,plain,(
% 58.08/9.45 ~vEBT_invar_vebt(newnode74,na) | (~spl5880_2326 | ~spl5880_3471 | spl5880_3758)),
% 58.08/9.45 inference(forward_demodulation,[],[f100039,f98858])).
% 58.08/9.45 tff(f98858,plain,(
% 58.08/9.45 newnode74 = lG1811(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78) | (~spl5880_2326 | ~spl5880_3471)),
% 58.08/9.45 inference(superposition,[],[f98148,f90280])).
% 58.08/9.45 tff(f98148,plain,(
% 58.08/9.45 newnode74 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78) | ~spl5880_3471),
% 58.08/9.45 inference(avatar_component_clause,[],[f98146])).
% 58.08/9.45 tff(f100039,plain,(
% 58.08/9.45 ~vEBT_invar_vebt(lG1811(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na) | spl5880_3758),
% 58.08/9.45 inference(avatar_component_clause,[],[f100037])).
% 58.08/9.45 tff(f100040,plain,(
% 58.08/9.45 ~spl5880_3758 | spl5880_719 | ~spl5880_2573),
% 58.08/9.45 inference(avatar_split_clause,[],[f93079,f93028,f82038,f100037])).
% 58.08/9.45 tff(f93079,plain,(
% 58.08/9.45 ~vEBT_invar_vebt(lG1811(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na) | (spl5880_719 | ~spl5880_2573)),
% 58.08/9.45 inference(superposition,[],[f82040,f93029])).
% 58.08/9.45 tff(f100021,plain,(
% 58.08/9.45 spl5880_3757 | ~spl5880_1443 | ~spl5880_3576),
% 58.08/9.45 inference(avatar_split_clause,[],[f99210,f99207,f85782,f100019])).
% 58.08/9.45 tff(f100019,plain,(
% 58.08/9.45 spl5880_3757 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | (iG1485(X0,X1) = iG1486(X0,X1,X2)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3757])])).
% 58.08/9.45 tff(f99207,plain,(
% 58.08/9.45 spl5880_3576 <=> ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1485(X0,X1) = iG1486(X0,X1,X2)) | zero_zero(nat) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3576])])).
% 58.08/9.45 tff(f99210,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | (iG1485(X0,X1) = iG1486(X0,X1,X2))) ) | (~spl5880_1443 | ~spl5880_3576)),
% 58.08/9.45 inference(forward_demodulation,[],[f99208,f85784])).
% 58.08/9.45 tff(f99208,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1485(X0,X1) = iG1486(X0,X1,X2)) | zero_zero(nat) = X0) ) | ~spl5880_3576),
% 58.08/9.45 inference(avatar_component_clause,[],[f99207])).
% 58.08/9.45 tff(f100017,plain,(
% 58.08/9.45 spl5880_3756 | ~spl5880_1443 | ~spl5880_3575),
% 58.08/9.45 inference(avatar_split_clause,[],[f99205,f99202,f85782,f100015])).
% 58.08/9.45 tff(f100015,plain,(
% 58.08/9.45 spl5880_3756 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | (iG1521(X0,X1) = iG1522(X0,X1,X2)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3756])])).
% 58.08/9.45 tff(f99202,plain,(
% 58.08/9.45 spl5880_3575 <=> ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1521(X0,X1) = iG1522(X0,X1,X2)) | zero_zero(nat) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3575])])).
% 58.08/9.45 tff(f99205,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | (iG1521(X0,X1) = iG1522(X0,X1,X2))) ) | (~spl5880_1443 | ~spl5880_3575)),
% 58.08/9.45 inference(forward_demodulation,[],[f99203,f85784])).
% 58.08/9.45 tff(f99203,plain,(
% 58.08/9.45 ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1521(X0,X1) = iG1522(X0,X1,X2)) | zero_zero(nat) = X0) ) | ~spl5880_3575),
% 58.08/9.45 inference(avatar_component_clause,[],[f99202])).
% 58.08/9.45 tff(f100013,plain,(
% 58.08/9.45 spl5880_3755 | ~spl5880_1604 | ~spl5880_2619),
% 58.08/9.45 inference(avatar_split_clause,[],[f94316,f93262,f86609,f100010])).
% 58.08/9.45 tff(f100010,plain,(
% 58.08/9.45 spl5880_3755 <=> sP1998(sK5879)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3755])])).
% 58.08/9.45 tff(f86609,plain,(
% 58.08/9.45 spl5880_1604 <=> zero_zero(real) = cos(real,sK5879)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_1604])])).
% 58.08/9.45 tff(f94316,plain,(
% 58.08/9.45 sP1998(sK5879) | (~spl5880_1604 | ~spl5880_2619)),
% 58.08/9.45 inference(trivial_inequality_removal,[],[f94313])).
% 58.08/9.45 tff(f94313,plain,(
% 58.08/9.45 zero_zero(real) != zero_zero(real) | sP1998(sK5879) | (~spl5880_1604 | ~spl5880_2619)),
% 58.08/9.45 inference(superposition,[],[f93263,f86611])).
% 58.08/9.45 tff(f86611,plain,(
% 58.08/9.45 zero_zero(real) = cos(real,sK5879) | ~spl5880_1604),
% 58.08/9.45 inference(avatar_component_clause,[],[f86609])).
% 58.08/9.45 tff(f100007,plain,(
% 58.08/9.45 spl5880_3754),
% 58.08/9.45 inference(avatar_split_clause,[],[f75442,f100005])).
% 58.08/9.45 tff(f75442,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2198(X0,X1,X2)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60718,f69765])).
% 58.08/9.45 tff(f60718,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 | ~sP2198(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f43189])).
% 58.08/9.45 tff(f43189,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,sK4548(X0,X1,X2))),sK4549(X0,X1,X2),sK4550(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK4548(X0,X1,X2))),sK4549(X0,X1,X2),sK4550(X0,X1,X2)) = X2) | ~sP2198(X0,X1,X2))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4548,sK4549,sK4550])],[f43187,f43188])).
% 58.08/9.45 tff(f43188,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,sK4548(X0,X1,X2))),sK4549(X0,X1,X2),sK4550(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK4548(X0,X1,X2))),sK4549(X0,X1,X2),sK4550(X0,X1,X2)) = X2))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f43187,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5) = X2) | ~sP2198(X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f43186])).
% 58.08/9.45 tff(f43186,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : nat,X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13) = X0) | ~sP2198(X1,X2,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37493])).
% 58.08/9.45 tff(f37493,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : nat,X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13) = X0) | ~sP2198(X1,X2,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2198])])).
% 58.08/9.45 tff(f100002,plain,(
% 58.08/9.45 spl5880_3753),
% 58.08/9.45 inference(avatar_split_clause,[],[f75282,f100000])).
% 58.08/9.45 tff(f75282,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2154(X0,X1,X2)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60572,f69765])).
% 58.08/9.45 tff(f60572,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 | ~sP2154(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f42987])).
% 58.08/9.45 tff(f42987,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4372(X0,X1,X2),sK4373(X0,X1,X2),sK4374(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4372(X0,X1,X2),sK4373(X0,X1,X2),sK4374(X0,X1,X2)) = X2) | ~sP2154(X0,X1,X2))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4372,sK4373,sK4374])],[f42985,f42986])).
% 58.08/9.45 tff(f42986,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4372(X0,X1,X2),sK4373(X0,X1,X2),sK4374(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4372(X0,X1,X2),sK4373(X0,X1,X2),sK4374(X0,X1,X2)) = X2))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f42985,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2154(X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f42984])).
% 58.08/9.45 tff(f42984,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2154(X1,X2,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37439])).
% 58.08/9.45 tff(f37439,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2154(X1,X2,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2154])])).
% 58.08/9.45 tff(f99997,plain,(
% 58.08/9.45 spl5880_3752),
% 58.08/9.45 inference(avatar_split_clause,[],[f75280,f99995])).
% 58.08/9.45 tff(f75280,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2155(X0,X1,X2)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60569,f69765])).
% 58.08/9.45 tff(f60569,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 | ~sP2155(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f42983])).
% 58.08/9.45 tff(f42983,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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)),sK4369(X0,X1,X2)),zero_zero(nat),sK4370(X0,X1,X2),sK4371(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4369(X0,X1,X2)),zero_zero(nat),sK4370(X0,X1,X2),sK4371(X0,X1,X2)) = X2) | ~sP2155(X0,X1,X2))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4369,sK4370,sK4371])],[f42981,f42982])).
% 58.08/9.45 tff(f42982,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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)),sK4369(X0,X1,X2)),zero_zero(nat),sK4370(X0,X1,X2),sK4371(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4369(X0,X1,X2)),zero_zero(nat),sK4370(X0,X1,X2),sK4371(X0,X1,X2)) = X2))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f42981,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2155(X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f42980])).
% 58.08/9.45 tff(f42980,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2155(X1,X2,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37440])).
% 58.08/9.45 tff(f37440,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_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))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2155(X1,X2,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2155])])).
% 58.08/9.45 tff(f99992,plain,(
% 58.08/9.45 spl5880_3751),
% 58.08/9.45 inference(avatar_split_clause,[],[f75276,f99990])).
% 58.08/9.45 tff(f75276,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG1228($true)) = X1 | ~sP2156(X0,X1,X2)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60566,f69765])).
% 58.08/9.45 tff(f60566,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 | ~sP2156(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f42979])).
% 58.08/9.45 tff(f42979,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4366(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4367(X0,X1,X2),sK4368(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4366(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4367(X0,X1,X2),sK4368(X0,X1,X2)) = X2) | ~sP2156(X0,X1,X2))),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4366,sK4367,sK4368])],[f42977,f42978])).
% 58.08/9.45 tff(f42978,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4366(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4367(X0,X1,X2),sK4368(X0,X1,X2))),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4366(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4367(X0,X1,X2),sK4368(X0,X1,X2)) = X2))),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f42977,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2156(X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f42976])).
% 58.08/9.45 tff(f42976,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13) = X0) | ~sP2156(X1,X2,X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f37441])).
% 58.08/9.45 tff(f37441,plain,(
% 58.08/9.45 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5837161174952499735_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1))) & aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13) = X0) | ~sP2156(X1,X2,X0))),
% 58.08/9.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2156])])).
% 58.08/9.45 tff(f99987,plain,(
% 58.08/9.45 spl5880_3750),
% 58.08/9.45 inference(avatar_split_clause,[],[f74932,f99985])).
% 58.08/9.45 tff(f74932,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60057,f67101])).
% 58.08/9.45 tff(f60057,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f26290])).
% 58.08/9.45 tff(f26290,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f788])).
% 58.08/9.45 tff(f788,axiom,(
% 58.08/9.45 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_i_n_t(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_787_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t_Osimps_I2_J)).
% 58.08/9.45 tff(f99982,plain,(
% 58.08/9.45 spl5880_3749),
% 58.08/9.45 inference(avatar_split_clause,[],[f74931,f99980])).
% 58.08/9.45 tff(f74931,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60056,f67101])).
% 58.08/9.45 tff(f60056,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f26289])).
% 58.08/9.45 tff(f26289,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f790])).
% 58.08/9.45 tff(f790,axiom,(
% 58.08/9.45 ! [X110 : nat,X99 : list(vEBT_VEBT),X100 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Node(none(product_prod(nat,nat)),X110,X99,X100))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_789_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Osimps_I4_J)).
% 58.08/9.45 tff(f99977,plain,(
% 58.08/9.45 spl5880_3748),
% 58.08/9.45 inference(avatar_split_clause,[],[f74930,f99975])).
% 58.08/9.45 tff(f74930,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)) = iG1228($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f60055,f67101])).
% 58.08/9.45 tff(f60055,plain,(
% 58.08/9.45 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f26288])).
% 58.08/9.45 tff(f26288,plain,(
% 58.08/9.45 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.08/9.45 inference(rectify,[],[f787])).
% 58.08/9.45 tff(f787,axiom,(
% 58.08/9.45 ! [X105 : nat,X109 : list(vEBT_VEBT),X110 : vEBT_VEBT] : one_one(nat) = vEBT_T_m_a_x_t(vEBT_Node(none(product_prod(nat,nat)),X105,X109,X110))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_786_T_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t_Osimps_I2_J)).
% 58.08/9.45 tff(f99972,plain,(
% 58.08/9.45 spl5880_3747),
% 58.08/9.45 inference(avatar_split_clause,[],[f72959,f99970])).
% 58.08/9.45 tff(f72959,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1))) = iG894($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f57254,f67338])).
% 58.08/9.45 tff(f57254,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1)))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14874])).
% 58.08/9.45 tff(f14874,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(bG758(X0),bG759(X1)))),
% 58.08/9.45 inference(fool_elimination,[],[f14871,f14873,f14872])).
% 58.08/9.45 tff(f14872,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true = X0) <=> ($true = bG758(X0)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG758])])).
% 58.08/9.45 tff(f14873,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG759(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG759])])).
% 58.08/9.45 tff(f14871,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(X0,X1)) = zero_zero(nat)),
% 58.08/9.45 inference(rectify,[],[f1869])).
% 58.08/9.45 tff(f1869,axiom,(
% 58.08/9.45 ! [X11 : $o,X12 : $o] : aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Leaf(X11,X12)) = zero_zero(nat)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1868_VEBT__internal_Oheight_Osimps_I1_J)).
% 58.08/9.45 tff(f99967,plain,(
% 58.08/9.45 spl5880_3746),
% 58.08/9.45 inference(avatar_split_clause,[],[f72958,f99965])).
% 58.08/9.45 tff(f72958,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1))) = iG894($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f57253,f67338])).
% 58.08/9.45 tff(f57253,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1)))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14870])).
% 58.08/9.45 tff(f14870,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(bG756(X0),bG757(X1)))),
% 58.08/9.45 inference(fool_elimination,[],[f14867,f14869,f14868])).
% 58.08/9.45 tff(f14868,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true = X0) <=> ($true = bG756(X0)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG756])])).
% 58.08/9.45 tff(f14869,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG757(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG757])])).
% 58.08/9.45 tff(f14867,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X0,X1)) = zero_zero(nat)),
% 58.08/9.45 inference(rectify,[],[f5213])).
% 58.08/9.45 tff(f5213,axiom,(
% 58.08/9.45 ! [X139 : $o,X140 : $o] : aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X139,X140)) = zero_zero(nat)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5212_VEBT_Osize__gen_I2_J)).
% 58.08/9.45 tff(f99962,plain,(
% 58.08/9.45 spl5880_3745),
% 58.08/9.45 inference(avatar_split_clause,[],[f72951,f99960])).
% 58.08/9.45 tff(f72951,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),iG1228($true))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f72950,f69743])).
% 58.08/9.45 tff(f72950,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG747(X0) = vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f57249,f67338])).
% 58.08/9.45 tff(f57249,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),aa(nat,nat,suc,zero_zero(nat))) = iG747(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14852])).
% 58.08/9.45 tff(f14852,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : vEBT_vebt_pred(vEBT_Leaf(bG745(X0),bG746(X1)),aa(nat,nat,suc,zero_zero(nat))) = iG747(X0)),
% 58.08/9.45 inference(fool_elimination,[],[f14848,f14851,f14850,f14849])).
% 58.08/9.45 tff(f14849,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true = X0) <=> ($true = bG745(X0)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG745])])).
% 58.08/9.45 tff(f14850,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG746(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG746])])).
% 58.08/9.45 tff(f14851,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG747(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747(X0))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG747])])).
% 58.08/9.45 tff(f14848,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : vEBT_vebt_pred(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat))) = $ite(X0, aa(nat,option(nat),some(nat),zero_zero(nat)),none(nat))),
% 58.08/9.45 inference(rectify,[],[f1142])).
% 58.08/9.45 tff(f1142,axiom,(
% 58.08/9.45 ! [X11 : $o,X110 : $o] : vEBT_vebt_pred(vEBT_Leaf(X11,X110),aa(nat,nat,suc,zero_zero(nat))) = $ite(X11, aa(nat,option(nat),some(nat),zero_zero(nat)),none(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1141_vebt__pred_Osimps_I2_J)).
% 58.08/9.45 tff(f99957,plain,(
% 58.08/9.45 spl5880_3744),
% 58.08/9.45 inference(avatar_split_clause,[],[f72947,f99955])).
% 58.08/9.45 tff(f72947,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),iG894($true))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f57247,f67338])).
% 58.08/9.45 tff(f57247,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),zero_zero(nat))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14843])).
% 58.08/9.45 tff(f14843,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : none(nat) = vEBT_vebt_pred(vEBT_Leaf(bG741(X0),bG742(X1)),zero_zero(nat))),
% 58.08/9.45 inference(fool_elimination,[],[f14840,f14842,f14841])).
% 58.08/9.45 tff(f14841,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true = X0) <=> ($true = bG741(X0)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG741])])).
% 58.08/9.45 tff(f14842,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG742(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG742])])).
% 58.08/9.45 tff(f14840,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : vEBT_vebt_pred(vEBT_Leaf(X0,X1),zero_zero(nat)) = none(nat)),
% 58.08/9.45 inference(rectify,[],[f1064])).
% 58.08/9.45 tff(f1064,axiom,(
% 58.08/9.45 ! [X105 : $o,X109 : $o] : vEBT_vebt_pred(vEBT_Leaf(X105,X109),zero_zero(nat)) = none(nat)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1063_vebt__pred_Osimps_I1_J)).
% 58.08/9.45 tff(f99952,plain,(
% 58.08/9.45 spl5880_3743),
% 58.08/9.45 inference(avatar_split_clause,[],[f72946,f99950])).
% 58.08/9.45 tff(f72946,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (iG740(X1) = vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),iG894($true))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f57246,f67338])).
% 58.08/9.45 tff(f57246,plain,(
% 58.08/9.45 ( ! [X0 : $o,X1 : $o] : (vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),zero_zero(nat)) = iG740(X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f14839])).
% 58.08/9.45 tff(f14839,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : vEBT_vebt_succ(vEBT_Leaf(bG738(X0),bG739(X1)),zero_zero(nat)) = iG740(X1)),
% 58.08/9.45 inference(fool_elimination,[],[f14835,f14838,f14837,f14836])).
% 58.08/9.45 tff(f14836,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true = X0) <=> ($true = bG738(X0)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG738])])).
% 58.08/9.45 tff(f14837,plain,(
% 58.08/9.45 ! [X1 : $o] : (($true = X1) <=> ($true = bG739(X1)))),
% 58.08/9.45 introduced(fool_formula_definition,[new_symbols(definition,[bG739])])).
% 58.08/9.45 tff(f14838,plain,(
% 58.08/9.45 ! [X1 : $o] : (~($true = X1) => none(nat) = iG740(X1)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG740(X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG740])])).
% 58.08/9.45 tff(f14835,plain,(
% 58.08/9.45 ! [X0 : $o,X1 : $o] : vEBT_vebt_succ(vEBT_Leaf(X0,X1),zero_zero(nat)) = $ite(X1, aa(nat,option(nat),some(nat),one_one(nat)),none(nat))),
% 58.08/9.45 inference(rectify,[],[f1143])).
% 58.08/9.45 tff(f1143,axiom,(
% 58.08/9.45 ! [X105 : $o,X12 : $o] : vEBT_vebt_succ(vEBT_Leaf(X105,X12),zero_zero(nat)) = $ite(X12, aa(nat,option(nat),some(nat),one_one(nat)),none(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1142_vebt__succ_Osimps_I1_J)).
% 58.08/9.45 tff(f99948,plain,(
% 58.08/9.45 spl5880_3742),
% 58.08/9.45 inference(avatar_split_clause,[],[f72046,f99946])).
% 58.08/9.45 tff(f99946,plain,(
% 58.08/9.45 spl5880_3742 <=> ! [X0 : real] : (im(imaginary_unit) != aa(real,real,sqrt,X0) | im(imaginary_unit) = X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3742])])).
% 58.08/9.45 tff(f72046,plain,(
% 58.08/9.45 ( ! [X0 : real] : (im(imaginary_unit) != aa(real,real,sqrt,X0) | im(imaginary_unit) = X0) )),
% 58.08/9.45 inference(forward_demodulation,[],[f72045,f50004])).
% 58.08/9.45 tff(f72045,plain,(
% 58.08/9.45 ( ! [X0 : real] : (im(imaginary_unit) = X0 | one_one(real) != aa(real,real,sqrt,X0)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f56478,f50004])).
% 58.08/9.45 tff(f56478,plain,(
% 58.08/9.45 ( ! [X0 : real] : (one_one(real) = X0 | one_one(real) != aa(real,real,sqrt,X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40903])).
% 58.08/9.45 tff(f40903,plain,(
% 58.08/9.45 ! [X0 : real] : ((one_one(real) = aa(real,real,sqrt,X0) | one_one(real) != X0) & (one_one(real) = X0 | one_one(real) != aa(real,real,sqrt,X0)))),
% 58.08/9.45 inference(nnf_transformation,[],[f25206])).
% 58.08/9.45 tff(f25206,plain,(
% 58.08/9.45 ! [X0 : real] : (one_one(real) = aa(real,real,sqrt,X0) <=> one_one(real) = X0)),
% 58.08/9.45 inference(rectify,[],[f3759])).
% 58.08/9.45 tff(f3759,axiom,(
% 58.08/9.45 ! [X9 : real] : (one_one(real) = aa(real,real,sqrt,X9) <=> one_one(real) = X9)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3758_real__sqrt__eq__1__iff)).
% 58.08/9.45 tff(f99943,plain,(
% 58.08/9.45 spl5880_3741),
% 58.08/9.45 inference(avatar_split_clause,[],[f71345,f99941])).
% 58.08/9.45 tff(f71345,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2999(X0)) = X0) )),
% 58.08/9.45 inference(forward_demodulation,[],[f55665,f67338])).
% 58.08/9.45 tff(f55665,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,sK2999(X0)) = X0 | zero_zero(nat) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40430])).
% 58.08/9.45 tff(f40430,plain,(
% 58.08/9.45 ! [X0 : nat] : (aa(nat,nat,suc,sK2999(X0)) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2999])],[f32166,f40429])).
% 58.08/9.45 tff(f40429,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK2999(X0)) = X0)),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f32166,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(ennf_transformation,[],[f24937])).
% 58.08/9.45 tff(f24937,plain,(
% 58.08/9.45 ! [X0 : nat] : (zero_zero(nat) != X0 => ? [X1 : nat] : aa(nat,nat,suc,X1) = X0)),
% 58.08/9.45 inference(rectify,[],[f1102])).
% 58.08/9.45 tff(f1102,axiom,(
% 58.08/9.45 ! [X8 : nat] : (zero_zero(nat) != X8 => ? [X72 : nat] : aa(nat,nat,suc,X72) = X8)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1101_not0__implies__Suc)).
% 58.08/9.45 tff(f99938,plain,(
% 58.08/9.45 spl5880_3740),
% 58.08/9.45 inference(avatar_split_clause,[],[f71344,f99936])).
% 58.08/9.45 tff(f71344,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2998(X0)) = X0) )),
% 58.08/9.45 inference(forward_demodulation,[],[f55664,f67338])).
% 58.08/9.45 tff(f55664,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,sK2998(X0)) = X0 | zero_zero(nat) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40428])).
% 58.08/9.45 tff(f40428,plain,(
% 58.08/9.45 ! [X0 : nat] : (aa(nat,nat,suc,sK2998(X0)) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2998])],[f32165,f40427])).
% 58.08/9.45 tff(f40427,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK2998(X0)) = X0)),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f32165,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(ennf_transformation,[],[f24936])).
% 58.08/9.45 tff(f24936,plain,(
% 58.08/9.45 ! [X0 : nat] : (zero_zero(nat) != X0 => ~! [X1 : nat] : aa(nat,nat,suc,X1) != X0)),
% 58.08/9.45 inference(rectify,[],[f1095])).
% 58.08/9.45 tff(f1095,axiom,(
% 58.08/9.45 ! [X18 : nat] : (zero_zero(nat) != X18 => ~! [X158 : nat] : aa(nat,nat,suc,X158) != X18)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1094_old_Onat_Oexhaust)).
% 58.08/9.45 tff(f99933,plain,(
% 58.08/9.45 spl5880_3739),
% 58.08/9.45 inference(avatar_split_clause,[],[f71343,f99931])).
% 58.08/9.45 tff(f71343,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (iG894($true) = X0 | aa(nat,nat,suc,sK2997(X0)) = X0) )),
% 58.08/9.45 inference(forward_demodulation,[],[f55663,f67338])).
% 58.08/9.45 tff(f55663,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,sK2997(X0)) = X0 | zero_zero(nat) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f40426])).
% 58.08/9.45 tff(f40426,plain,(
% 58.08/9.45 ! [X0 : nat] : (aa(nat,nat,suc,sK2997(X0)) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2997])],[f32164,f40425])).
% 58.08/9.45 tff(f40425,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK2997(X0)) = X0)),
% 58.08/9.45 introduced(choice_axiom,[])).
% 58.08/9.45 tff(f32164,plain,(
% 58.08/9.45 ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 58.08/9.45 inference(ennf_transformation,[],[f24935])).
% 58.08/9.45 tff(f24935,plain,(
% 58.08/9.45 ! [X0 : nat] : (zero_zero(nat) != X0 => ~! [X1 : nat] : aa(nat,nat,suc,X1) != X0)),
% 58.08/9.45 inference(rectify,[],[f2209])).
% 58.08/9.45 tff(f2209,axiom,(
% 58.08/9.45 ! [X9 : nat] : (zero_zero(nat) != X9 => ~! [X34 : nat] : aa(nat,nat,suc,X34) != X9)),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2208_list__decode_Ocases)).
% 58.08/9.45 tff(f99928,plain,(
% 58.08/9.45 spl5880_3738),
% 58.08/9.45 inference(avatar_split_clause,[],[f70714,f99926])).
% 58.08/9.45 tff(f70714,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f52742,f67338])).
% 58.08/9.45 tff(f52742,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39335])).
% 58.08/9.45 tff(f39335,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1))) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f29893])).
% 58.08/9.45 tff(f29893,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) <=> zero_zero(nat) = X1) | ~bit_se359711467146920520ations(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f24023])).
% 58.08/9.45 tff(f24023,plain,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) <=> zero_zero(nat) = X1))),
% 58.08/9.45 inference(rectify,[],[f2930])).
% 58.08/9.45 tff(f2930,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X8) <=> zero_zero(nat) = X8))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2929_mask__eq__0__iff)).
% 58.08/9.45 tff(f99924,plain,(
% 58.08/9.45 spl5880_3737),
% 58.08/9.45 inference(avatar_split_clause,[],[f70331,f99922])).
% 58.08/9.45 tff(f99922,plain,(
% 58.08/9.45 spl5880_3737 <=> ! [X0 : $tType,X1 : real] : (im(imaginary_unit) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3737])])).
% 58.08/9.45 tff(f70331,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : real] : (im(imaginary_unit) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f50897,f50004])).
% 58.08/9.45 tff(f50897,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : real] : (one_one(real) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38807])).
% 58.08/9.45 tff(f38807,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : real] : ((one_one(X0) = real_Vector_of_real(X0,X1) | one_one(real) != X1) & (one_one(real) = X1 | one_one(X0) != real_Vector_of_real(X0,X1))) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f28336])).
% 58.08/9.45 tff(f28336,plain,(
% 58.08/9.45 ! [X0 : $tType] : (! [X1 : real] : (one_one(X0) = real_Vector_of_real(X0,X1) <=> one_one(real) = X1) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.45 inference(ennf_transformation,[],[f23198])).
% 58.08/9.45 tff(f23198,plain,(
% 58.08/9.45 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : real] : (one_one(X0) = real_Vector_of_real(X0,X1) <=> one_one(real) = X1))),
% 58.08/9.45 inference(rectify,[],[f3658])).
% 58.08/9.45 tff(f3658,axiom,(
% 58.08/9.45 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X9 : real] : (one_one(X0) = real_Vector_of_real(X0,X9) <=> one_one(real) = X9))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3657_of__real__eq__1__iff)).
% 58.08/9.45 tff(f99919,plain,(
% 58.08/9.45 spl5880_3736),
% 58.08/9.45 inference(avatar_split_clause,[],[f69925,f99917])).
% 58.08/9.45 tff(f69925,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(option(X0),nat,size_size(option(X0)),none(X0)) = iG1228($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f69924,f69743])).
% 58.08/9.45 tff(f69924,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(option(X0),nat,size_size(option(X0)),none(X0)) = aa(nat,nat,suc,iG894($true))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f50336,f67338])).
% 58.08/9.45 tff(f50336,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),none(X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f1252])).
% 58.08/9.45 tff(f1252,axiom,(
% 58.08/9.45 ! [X0 : $tType] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),none(X0))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1251_option_Osize_I3_J)).
% 58.08/9.45 tff(f99915,plain,(
% 58.08/9.45 spl5880_3735),
% 58.08/9.45 inference(avatar_split_clause,[],[f69902,f99913])).
% 58.08/9.45 tff(f99913,plain,(
% 58.08/9.45 spl5880_3735 <=> ! [X0 : num] : iG310(aa(num,code_integer,code_positive,X0)) = aa(num,int,code_Target_positive,X0)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3735])])).
% 58.08/9.45 tff(f69902,plain,(
% 58.08/9.45 ( ! [X0 : num] : (iG310(aa(num,code_integer,code_positive,X0)) = aa(num,int,code_Target_positive,X0)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f69901,f50021])).
% 58.08/9.45 tff(f69901,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = iG310(aa(num,code_integer,code_positive,X0))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f65783,f50019])).
% 58.08/9.45 tff(f65783,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = iG310(aa(num,code_integer,numeral_numeral(code_integer),X0))) )),
% 58.08/9.45 inference(definition_unfolding,[],[f50291,f50613])).
% 58.08/9.45 tff(f50613,plain,(
% 58.08/9.45 ( ! [X0 : code_integer] : (code_int_of_integer(X0) = iG310(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f9933])).
% 58.08/9.45 tff(f9933,plain,(
% 58.08/9.45 ! [X0 : code_integer] : code_int_of_integer(X0) = iG310(X0)),
% 58.08/9.45 inference(fool_elimination,[],[f9930,f9932,f9931])).
% 58.08/9.45 tff(f9931,plain,(
% 58.08/9.45 ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG309(X0)) & ! [X0 : code_integer] : (zero_zero(code_integer) = X0 => zero_zero(int) = iG309(X0))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG309])])).
% 58.08/9.45 tff(f9932,plain,(
% 58.08/9.45 ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => iG309(X0) = iG310(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X0))) = iG310(X0))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG310])])).
% 58.08/9.45 tff(f9930,plain,(
% 58.08/9.45 ! [X0 : code_integer] : code_int_of_integer(X0) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)), aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X0))),$ite(zero_zero(code_integer) = X0, zero_zero(int),aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))))))),
% 58.08/9.45 inference(rectify,[],[f5442])).
% 58.08/9.45 tff(f5442,axiom,(
% 58.08/9.45 ! [X24 : code_integer] : code_int_of_integer(X24) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X24),zero_zero(code_integer)), aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X24))),$ite(zero_zero(code_integer) = X24, zero_zero(int),aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X24,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))))))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5441_int__of__integer__code)).
% 58.08/9.45 tff(f50291,plain,(
% 58.08/9.45 ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = code_int_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f22820])).
% 58.08/9.45 tff(f22820,plain,(
% 58.08/9.45 ! [X0 : num] : aa(num,int,numeral_numeral(int),X0) = code_int_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X0))),
% 58.08/9.45 inference(rectify,[],[f5443])).
% 58.08/9.45 tff(f5443,axiom,(
% 58.08/9.45 ! [X24 : num] : aa(num,int,numeral_numeral(int),X24) = code_int_of_integer(aa(num,code_integer,numeral_numeral(code_integer),X24))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5442_int__of__integer__numeral)).
% 58.08/9.45 tff(f99910,plain,(
% 58.08/9.45 spl5880_3734),
% 58.08/9.45 inference(avatar_split_clause,[],[f69892,f99908])).
% 58.08/9.45 tff(f69892,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (aa(list(X0),nat,size_size(list(X0)),nil(X0)) = iG894($true)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f50266,f67338])).
% 58.08/9.45 tff(f50266,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),nil(X0))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f6769])).
% 58.08/9.45 tff(f6769,axiom,(
% 58.08/9.45 ! [X0 : $tType] : zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),nil(X0))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6768_list_Osize_I3_J)).
% 58.08/9.45 tff(f99906,plain,(
% 58.08/9.45 spl5880_3733),
% 58.08/9.45 inference(avatar_split_clause,[],[f69807,f99903])).
% 58.08/9.45 tff(f99903,plain,(
% 58.08/9.45 spl5880_3733 <=> zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,quotient_of(zero_zero(rat)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3733])])).
% 58.08/9.45 tff(f69807,plain,(
% 58.08/9.45 zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,quotient_of(zero_zero(rat)))),
% 58.08/9.45 inference(forward_demodulation,[],[f50122,f50105])).
% 58.08/9.45 tff(f50105,plain,(
% 58.08/9.45 quotient_of(zero_zero(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int))),
% 58.08/9.45 inference(cnf_transformation,[],[f5507])).
% 58.08/9.45 tff(f5507,axiom,(
% 58.08/9.45 quotient_of(zero_zero(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5506_rat__zero__code)).
% 58.08/9.45 tff(f50122,plain,(
% 58.08/9.45 zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)))),
% 58.08/9.45 inference(cnf_transformation,[],[f7775])).
% 58.08/9.45 tff(f7775,axiom,(
% 58.08/9.45 zero_zero(rat) = aa(product_prod(int,int),rat,abs_Rat,aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7774_zero__rat__def)).
% 58.08/9.45 tff(f99901,plain,(
% 58.08/9.45 spl5880_3732),
% 58.08/9.45 inference(avatar_split_clause,[],[f69804,f99898])).
% 58.08/9.45 tff(f99898,plain,(
% 58.08/9.45 spl5880_3732 <=> one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,quotient_of(one_one(rat)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3732])])).
% 58.08/9.45 tff(f69804,plain,(
% 58.08/9.45 one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,quotient_of(one_one(rat)))),
% 58.08/9.45 inference(forward_demodulation,[],[f50120,f50104])).
% 58.08/9.45 tff(f50104,plain,(
% 58.08/9.45 quotient_of(one_one(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int))),
% 58.08/9.45 inference(cnf_transformation,[],[f5506])).
% 58.08/9.45 tff(f5506,axiom,(
% 58.08/9.45 quotient_of(one_one(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5505_rat__one__code)).
% 58.08/9.45 tff(f50120,plain,(
% 58.08/9.45 one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 58.08/9.45 inference(cnf_transformation,[],[f7773])).
% 58.08/9.45 tff(f7773,axiom,(
% 58.08/9.45 one_one(rat) = aa(product_prod(int,int),rat,abs_Rat,aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7772_one__rat__def)).
% 58.08/9.45 tff(f99896,plain,(
% 58.08/9.45 spl5880_3731),
% 58.08/9.45 inference(avatar_split_clause,[],[f69785,f99893])).
% 58.08/9.45 tff(f99893,plain,(
% 58.08/9.45 spl5880_3731 <=> suminf(real,aTP_Lamp_cw(nat,real)) = aa(real,real,arctan,im(imaginary_unit))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3731])])).
% 58.08/9.45 tff(f69785,plain,(
% 58.08/9.45 suminf(real,aTP_Lamp_cw(nat,real)) = aa(real,real,arctan,im(imaginary_unit))),
% 58.08/9.45 inference(forward_demodulation,[],[f69784,f50096])).
% 58.08/9.45 tff(f69784,plain,(
% 58.08/9.45 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,im(imaginary_unit))),
% 58.08/9.45 inference(forward_demodulation,[],[f50100,f50004])).
% 58.08/9.45 tff(f50100,plain,(
% 58.08/9.45 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real))),
% 58.08/9.45 inference(cnf_transformation,[],[f3465])).
% 58.08/9.45 tff(f3465,axiom,(
% 58.08/9.45 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3464_arctan__one)).
% 58.08/9.45 tff(f99891,plain,(
% 58.08/9.45 spl5880_3730),
% 58.08/9.45 inference(avatar_split_clause,[],[f69764,f99888])).
% 58.08/9.45 tff(f99888,plain,(
% 58.08/9.45 spl5880_3730 <=> filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,cos(real,pi)),at_bot(real))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3730])])).
% 58.08/9.45 tff(f69764,plain,(
% 58.08/9.45 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,cos(real,pi)),at_bot(real))),
% 58.08/9.45 inference(forward_demodulation,[],[f69763,f69747])).
% 58.08/9.45 tff(f69763,plain,(
% 58.08/9.45 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),im(imaginary_unit))),at_bot(real))),
% 58.08/9.45 inference(forward_demodulation,[],[f50074,f50004])).
% 58.08/9.45 tff(f50074,plain,(
% 58.08/9.45 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 58.08/9.45 inference(cnf_transformation,[],[f6419])).
% 58.08/9.45 tff(f6419,axiom,(
% 58.08/9.45 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6418_tanh__real__at__bot)).
% 58.08/9.45 tff(f99886,plain,(
% 58.08/9.45 spl5880_3729),
% 58.08/9.45 inference(avatar_split_clause,[],[f69750,f99883])).
% 58.08/9.45 tff(f99883,plain,(
% 58.08/9.45 spl5880_3729 <=> filterlim(nat,real,aTP_Lamp_tu(nat,real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(nat))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3729])])).
% 58.08/9.45 tff(f69750,plain,(
% 58.08/9.45 filterlim(nat,real,aTP_Lamp_tu(nat,real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(nat))),
% 58.08/9.45 inference(forward_demodulation,[],[f50053,f50004])).
% 58.08/9.45 tff(f50053,plain,(
% 58.08/9.45 filterlim(nat,real,aTP_Lamp_tu(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 58.08/9.45 inference(cnf_transformation,[],[f6283])).
% 58.08/9.45 tff(f6283,axiom,(
% 58.08/9.45 filterlim(nat,real,aTP_Lamp_tu(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6282_LIMSEQ__root)).
% 58.08/9.45 tff(f99880,plain,(
% 58.08/9.45 spl5880_3728),
% 58.08/9.45 inference(avatar_split_clause,[],[f69749,f99877])).
% 58.08/9.45 tff(f69749,plain,(
% 58.08/9.45 aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit))) = iG1228($true)),
% 58.08/9.45 inference(forward_demodulation,[],[f50052,f67101])).
% 58.08/9.45 tff(f50052,plain,(
% 58.08/9.45 one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit)))),
% 58.08/9.45 inference(cnf_transformation,[],[f5991])).
% 58.08/9.45 tff(f5991,axiom,(
% 58.08/9.45 one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit)))),
% 58.08/9.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5990_card__UNIV__unit)).
% 58.08/9.45 tff(f99874,plain,(
% 58.08/9.45 spl5880_3727),
% 58.08/9.45 inference(avatar_split_clause,[],[f69679,f99872])).
% 58.08/9.45 tff(f69679,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | ($true = bG323(X0))) )),
% 58.08/9.45 inference(forward_demodulation,[],[f49142,f67338])).
% 58.08/9.45 tff(f49142,plain,(
% 58.08/9.45 ( ! [X0 : nat] : (($true = bG323(X0)) | aa(nat,nat,suc,zero_zero(nat)) = X0) )),
% 58.08/9.45 inference(cnf_transformation,[],[f38681])).
% 58.08/9.45 tff(f38681,plain,(
% 58.08/9.45 ! [X0 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) != X0 | ($true != bG323(X0))) & (($true = bG323(X0)) | aa(nat,nat,suc,zero_zero(nat)) = X0))),
% 58.08/9.45 inference(nnf_transformation,[],[f9963])).
% 58.08/9.45 tff(f99869,plain,(
% 58.08/9.45 spl5880_3726),
% 58.08/9.45 inference(avatar_split_clause,[],[f69657,f99867])).
% 58.08/9.45 tff(f69657,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (member(nat,iG894($true),X1) | zero_zero(X0) = iG430(X0,X1,X2)) )),
% 58.08/9.45 inference(forward_demodulation,[],[f48932,f67338])).
% 58.08/9.45 tff(f48932,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG430(X0,X1,X2) | member(nat,zero_zero(nat),X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f28013])).
% 58.08/9.45 tff(f28013,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (zero_zero(X0) = iG430(X0,X1,X2) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : (aa(nat,X3,X5,zero_zero(nat)) = iG430(X3,X4,X5) | ~member(nat,zero_zero(nat),X4) | ~finite_finite(nat,X4))),
% 58.08/9.45 inference(flattening,[],[f28012])).
% 58.08/9.45 tff(f28012,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (zero_zero(X0) = iG430(X0,X1,X2) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : (aa(nat,X3,X5,zero_zero(nat)) = iG430(X3,X4,X5) | (~member(nat,zero_zero(nat),X4) | ~finite_finite(nat,X4)))),
% 58.08/9.45 inference(ennf_transformation,[],[f22468])).
% 58.08/9.45 tff(f22468,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X1) & finite_finite(nat,X1)) => zero_zero(X0) = iG430(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : ((member(nat,zero_zero(nat),X4) & finite_finite(nat,X4)) => aa(nat,X3,X5,zero_zero(nat)) = iG430(X3,X4,X5))),
% 58.08/9.45 inference(rectify,[],[f11272])).
% 58.08/9.45 tff(f11272,plain,(
% 58.08/9.45 ! [X0 : $tType,X2 : set(nat),X1 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X2) & finite_finite(nat,X2)) => zero_zero(X0) = iG430(X0,X2,X1)) & ! [X0 : $tType,X2 : set(nat),X1 : fun(nat,X0)] : ((member(nat,zero_zero(nat),X2) & finite_finite(nat,X2)) => aa(nat,X0,X1,zero_zero(nat)) = iG430(X0,X2,X1))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG430])])).
% 58.08/9.45 tff(f99864,plain,(
% 58.08/9.45 spl5880_3725),
% 58.08/9.45 inference(avatar_split_clause,[],[f69526,f99861])).
% 58.08/9.45 tff(f69526,plain,(
% 58.08/9.45 iG720($true) = aa(nat,option(nat),some(nat),iG894($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67464,f67338])).
% 58.08/9.45 tff(f67464,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720($true)),
% 58.08/9.45 inference(equality_resolution,[],[f48317])).
% 58.08/9.45 tff(f48317,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27842])).
% 58.08/9.45 tff(f27842,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG720(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f22042])).
% 58.08/9.45 tff(f22042,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG720(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720(X1))),
% 58.08/9.45 inference(flattening,[],[f22041])).
% 58.08/9.45 tff(f22041,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG720(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG720(X1))),
% 58.08/9.45 inference(rectify,[],[f14802])).
% 58.08/9.45 tff(f99858,plain,(
% 58.08/9.45 spl5880_3724),
% 58.08/9.45 inference(avatar_split_clause,[],[f69524,f99855])).
% 58.08/9.45 tff(f69524,plain,(
% 58.08/9.45 iG724($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67460,f67101])).
% 58.08/9.45 tff(f67460,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG724($true)),
% 58.08/9.45 inference(equality_resolution,[],[f48309])).
% 58.08/9.45 tff(f48309,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG724(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27840])).
% 58.08/9.45 tff(f27840,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG724(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG724(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f22037])).
% 58.08/9.45 tff(f22037,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG724(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG724(X1))),
% 58.08/9.45 inference(flattening,[],[f22036])).
% 58.08/9.45 tff(f22036,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG724(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG724(X1))),
% 58.08/9.45 inference(rectify,[],[f14808])).
% 58.08/9.45 tff(f99852,plain,(
% 58.08/9.45 spl5880_3723 | ~spl5880_3722),
% 58.08/9.45 inference(avatar_split_clause,[],[f99847,f99843,f99849])).
% 58.08/9.45 tff(f99849,plain,(
% 58.08/9.45 spl5880_3723 <=> iG740($true) = iG724($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3723])])).
% 58.08/9.45 tff(f99843,plain,(
% 58.08/9.45 spl5880_3722 <=> iG740($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3722])])).
% 58.08/9.45 tff(f99847,plain,(
% 58.08/9.45 iG740($true) = iG724($true) | ~spl5880_3722),
% 58.08/9.45 inference(forward_demodulation,[],[f99845,f69524])).
% 58.08/9.45 tff(f99845,plain,(
% 58.08/9.45 iG740($true) = aa(nat,option(nat),some(nat),iG1228($true)) | ~spl5880_3722),
% 58.08/9.45 inference(avatar_component_clause,[],[f99843])).
% 58.08/9.45 tff(f99846,plain,(
% 58.08/9.45 spl5880_3722),
% 58.08/9.45 inference(avatar_split_clause,[],[f69522,f99843])).
% 58.08/9.45 tff(f69522,plain,(
% 58.08/9.45 iG740($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67444,f67101])).
% 58.08/9.45 tff(f67444,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG740($true)),
% 58.08/9.45 inference(equality_resolution,[],[f48277])).
% 58.08/9.45 tff(f48277,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG740(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27838])).
% 58.08/9.45 tff(f27838,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG740(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG740(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f22026])).
% 58.08/9.45 tff(f22026,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG740(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG740(X1))),
% 58.08/9.45 inference(flattening,[],[f22025])).
% 58.08/9.45 tff(f22025,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG740(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG740(X1))),
% 58.08/9.45 inference(rectify,[],[f14838])).
% 58.08/9.45 tff(f99840,plain,(
% 58.08/9.45 spl5880_3721 | ~spl5880_3720),
% 58.08/9.45 inference(avatar_split_clause,[],[f99835,f99831,f99837])).
% 58.08/9.45 tff(f99837,plain,(
% 58.08/9.45 spl5880_3721 <=> iG747($true) = iG720($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3721])])).
% 58.08/9.45 tff(f99831,plain,(
% 58.08/9.45 spl5880_3720 <=> iG747($true) = aa(nat,option(nat),some(nat),iG894($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3720])])).
% 58.08/9.45 tff(f99835,plain,(
% 58.08/9.45 iG747($true) = iG720($true) | ~spl5880_3720),
% 58.08/9.45 inference(forward_demodulation,[],[f99833,f69526])).
% 58.08/9.45 tff(f99833,plain,(
% 58.08/9.45 iG747($true) = aa(nat,option(nat),some(nat),iG894($true)) | ~spl5880_3720),
% 58.08/9.45 inference(avatar_component_clause,[],[f99831])).
% 58.08/9.45 tff(f99834,plain,(
% 58.08/9.45 spl5880_3720),
% 58.08/9.45 inference(avatar_split_clause,[],[f69521,f99831])).
% 58.08/9.45 tff(f69521,plain,(
% 58.08/9.45 iG747($true) = aa(nat,option(nat),some(nat),iG894($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67437,f67338])).
% 58.08/9.45 tff(f67437,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747($true)),
% 58.08/9.45 inference(equality_resolution,[],[f48263])).
% 58.08/9.45 tff(f48263,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27837])).
% 58.08/9.45 tff(f27837,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG747(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f22021])).
% 58.08/9.45 tff(f22021,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG747(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747(X1))),
% 58.08/9.45 inference(flattening,[],[f22020])).
% 58.08/9.45 tff(f22020,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG747(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG747(X1))),
% 58.08/9.45 inference(rectify,[],[f14851])).
% 58.08/9.45 tff(f99828,plain,(
% 58.08/9.45 spl5880_3719 | ~spl5880_3718),
% 58.08/9.45 inference(avatar_split_clause,[],[f99823,f99819,f99825])).
% 58.08/9.45 tff(f99825,plain,(
% 58.08/9.45 spl5880_3719 <=> iG909($true) = iG740($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3719])])).
% 58.08/9.45 tff(f99819,plain,(
% 58.08/9.45 spl5880_3718 <=> iG909($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3718])])).
% 58.08/9.45 tff(f99823,plain,(
% 58.08/9.45 iG909($true) = iG740($true) | ~spl5880_3718),
% 58.08/9.45 inference(forward_demodulation,[],[f99821,f69522])).
% 58.08/9.45 tff(f99821,plain,(
% 58.08/9.45 iG909($true) = aa(nat,option(nat),some(nat),iG1228($true)) | ~spl5880_3718),
% 58.08/9.45 inference(avatar_component_clause,[],[f99819])).
% 58.08/9.45 tff(f99822,plain,(
% 58.08/9.45 spl5880_3718),
% 58.08/9.45 inference(avatar_split_clause,[],[f69483,f99819])).
% 58.08/9.45 tff(f69483,plain,(
% 58.08/9.45 iG909($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67323,f67101])).
% 58.08/9.45 tff(f67323,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG909($true)),
% 58.08/9.45 inference(equality_resolution,[],[f47931])).
% 58.08/9.45 tff(f47931,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG909(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27776])).
% 58.08/9.45 tff(f27776,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG909(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG909(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21794])).
% 58.08/9.45 tff(f21794,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG909(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG909(X1))),
% 58.08/9.45 inference(flattening,[],[f21793])).
% 58.08/9.45 tff(f21793,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG909(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG909(X1))),
% 58.08/9.45 inference(rectify,[],[f15533])).
% 58.08/9.45 tff(f15533,plain,(
% 58.08/9.45 ! [X3 : $o] : (~($true = X3) => none(nat) = iG909(X3)) & ! [X3 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG909(X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG909])])).
% 58.08/9.45 tff(f99816,plain,(
% 58.08/9.45 spl5880_3717 | ~spl5880_3716),
% 58.08/9.45 inference(avatar_split_clause,[],[f99811,f99807,f99813])).
% 58.08/9.45 tff(f99813,plain,(
% 58.08/9.45 spl5880_3717 <=> iG913($true) = iG909($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3717])])).
% 58.08/9.45 tff(f99807,plain,(
% 58.08/9.45 spl5880_3716 <=> iG913($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3716])])).
% 58.08/9.45 tff(f99811,plain,(
% 58.08/9.45 iG913($true) = iG909($true) | ~spl5880_3716),
% 58.08/9.45 inference(forward_demodulation,[],[f99809,f69483])).
% 58.08/9.45 tff(f99809,plain,(
% 58.08/9.45 iG913($true) = aa(nat,option(nat),some(nat),iG1228($true)) | ~spl5880_3716),
% 58.08/9.45 inference(avatar_component_clause,[],[f99807])).
% 58.08/9.45 tff(f99810,plain,(
% 58.08/9.45 spl5880_3716),
% 58.08/9.45 inference(avatar_split_clause,[],[f69481,f99807])).
% 58.08/9.45 tff(f69481,plain,(
% 58.08/9.45 iG913($true) = aa(nat,option(nat),some(nat),iG1228($true))),
% 58.08/9.45 inference(forward_demodulation,[],[f67319,f67101])).
% 58.08/9.45 tff(f67319,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG913($true)),
% 58.08/9.45 inference(equality_resolution,[],[f47923])).
% 58.08/9.45 tff(f47923,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG913(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27774])).
% 58.08/9.45 tff(f27774,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG913(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG913(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21788])).
% 58.08/9.45 tff(f21788,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG913(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG913(X1))),
% 58.08/9.45 inference(flattening,[],[f21787])).
% 58.08/9.45 tff(f21787,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG913(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG913(X1))),
% 58.08/9.45 inference(rectify,[],[f15539])).
% 58.08/9.45 tff(f15539,plain,(
% 58.08/9.45 ! [X3 : $o] : (~($true = X3) => none(nat) = iG913(X3)) & ! [X3 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG913(X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG913])])).
% 58.08/9.45 tff(f99805,plain,(
% 58.08/9.45 spl5880_3715),
% 58.08/9.45 inference(avatar_split_clause,[],[f68759,f99803])).
% 58.08/9.45 tff(f99803,plain,(
% 58.08/9.45 spl5880_3715 <=> ! [X0 : $tType,X2 : X0] : ($true != aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X2),X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3715])])).
% 58.08/9.45 tff(f68759,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0] : (($true != aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X2),X2))) )),
% 58.08/9.45 inference(equality_resolution,[],[f62369])).
% 58.08/9.45 tff(f62369,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ($true != aa(X0,$o,aTP_Lamp_afx(X0,fun(X0,$o),X1),X2))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f44640])).
% 58.08/9.45 tff(f99801,plain,(
% 58.08/9.45 spl5880_3714),
% 58.08/9.45 inference(avatar_split_clause,[],[f68744,f99799])).
% 58.08/9.45 tff(f99799,plain,(
% 58.08/9.45 spl5880_3714 <=> ! [X2 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X2,X1)) | ~sP2397(zero_zero(int),X1,X2))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3714])])).
% 58.08/9.45 tff(f68744,plain,(
% 58.08/9.45 ( ! [X2 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X2,X1)) | ~sP2397(zero_zero(int),X1,X2)) )),
% 58.08/9.45 inference(equality_resolution,[],[f62297])).
% 58.08/9.45 tff(f62297,plain,(
% 58.08/9.45 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (($true = aa(int,$o,X2,X1)) | zero_zero(int) != X0 | ~sP2397(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f44587])).
% 58.08/9.45 tff(f99797,plain,(
% 58.08/9.45 spl5880_3713),
% 58.08/9.45 inference(avatar_split_clause,[],[f68404,f99795])).
% 58.08/9.45 tff(f99795,plain,(
% 58.08/9.45 spl5880_3713 <=> ! [X0 : $tType] : ($true != aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),nil(X0)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3713])])).
% 58.08/9.45 tff(f68404,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (($true != aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),nil(X0)))) )),
% 58.08/9.45 inference(equality_resolution,[],[f59700])).
% 58.08/9.45 tff(f59700,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | ($true != aa(list(X0),$o,aTP_Lamp_afv(list(X0),$o),X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f42622])).
% 58.08/9.45 tff(f99793,plain,(
% 58.08/9.45 spl5880_3712),
% 58.08/9.45 inference(avatar_split_clause,[],[f68403,f99791])).
% 58.08/9.45 tff(f99791,plain,(
% 58.08/9.45 spl5880_3712 <=> ! [X0 : $tType] : ($true != aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),nil(X0)))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3712])])).
% 58.08/9.45 tff(f68403,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (($true != aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),nil(X0)))) )),
% 58.08/9.45 inference(equality_resolution,[],[f59698])).
% 58.08/9.45 tff(f59698,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | ($true != aa(list(X0),$o,aTP_Lamp_afs(list(X0),$o),X1))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f42621])).
% 58.08/9.45 tff(f99789,plain,(
% 58.08/9.45 spl5880_3711),
% 58.08/9.45 inference(avatar_split_clause,[],[f68017,f99787])).
% 58.08/9.45 tff(f99787,plain,(
% 58.08/9.45 spl5880_3711 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ~sP1963(X0,X1,$true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3711])])).
% 58.08/9.45 tff(f68017,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ~sP1963(X0,X1,$true)) )),
% 58.08/9.45 inference(equality_resolution,[],[f54503])).
% 58.08/9.45 tff(f54503,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2) | ~sP1963(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39924])).
% 58.08/9.45 tff(f99785,plain,(
% 58.08/9.45 spl5880_3710),
% 58.08/9.45 inference(avatar_split_clause,[],[f68015,f99783])).
% 58.08/9.45 tff(f99783,plain,(
% 58.08/9.45 spl5880_3710 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (sP1963(X0,X1,$true) | ($true != aa(X0,$o,X1,one_one(X0))))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3710])])).
% 58.08/9.45 tff(f68015,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (sP1963(X0,X1,$true) | ($true != aa(X0,$o,X1,one_one(X0)))) )),
% 58.08/9.45 inference(equality_resolution,[],[f54506])).
% 58.08/9.45 tff(f54506,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1963(X0,X1,X2) | ($true != X2) | ($true != aa(X0,$o,X1,one_one(X0)))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39924])).
% 58.08/9.45 tff(f99781,plain,(
% 58.08/9.45 spl5880_3709),
% 58.08/9.45 inference(avatar_split_clause,[],[f68014,f99779])).
% 58.08/9.45 tff(f99779,plain,(
% 58.08/9.45 spl5880_3709 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ~sP1961(X0,X1,$true))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3709])])).
% 58.08/9.45 tff(f68014,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ~sP1961(X0,X1,$true)) )),
% 58.08/9.45 inference(equality_resolution,[],[f54494])).
% 58.08/9.45 tff(f54494,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2) | ~sP1961(X0,X1,X2)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39921])).
% 58.08/9.45 tff(f99777,plain,(
% 58.08/9.45 spl5880_3708),
% 58.08/9.45 inference(avatar_split_clause,[],[f68012,f99775])).
% 58.08/9.45 tff(f99775,plain,(
% 58.08/9.45 spl5880_3708 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (sP1961(X0,X1,$true) | ($true != aa(X0,$o,X1,one_one(X0))))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3708])])).
% 58.08/9.45 tff(f68012,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (sP1961(X0,X1,$true) | ($true != aa(X0,$o,X1,one_one(X0)))) )),
% 58.08/9.45 inference(equality_resolution,[],[f54497])).
% 58.08/9.45 tff(f54497,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X2 : $o,X1 : fun(X0,$o)] : (sP1961(X0,X1,X2) | ($true != X2) | ($true != aa(X0,$o,X1,one_one(X0)))) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39921])).
% 58.08/9.45 tff(f99773,plain,(
% 58.08/9.45 spl5880_3707),
% 58.08/9.45 inference(avatar_split_clause,[],[f67908,f99771])).
% 58.08/9.45 tff(f99771,plain,(
% 58.08/9.45 spl5880_3707 <=> ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_char_0(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3707])])).
% 58.08/9.45 tff(f67908,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_char_0(X0)) )),
% 58.08/9.45 inference(equality_resolution,[],[f53675])).
% 58.08/9.45 tff(f53675,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) | one_one(int) != X1 | ~ring_char_0(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39669])).
% 58.08/9.45 tff(f99769,plain,(
% 58.08/9.45 spl5880_3706),
% 58.08/9.45 inference(avatar_split_clause,[],[f67866,f99767])).
% 58.08/9.45 tff(f99767,plain,(
% 58.08/9.45 spl5880_3706 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~linordered_idom(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3706])])).
% 58.08/9.45 tff(f67866,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~linordered_idom(X0)) )),
% 58.08/9.45 inference(equality_resolution,[],[f53247])).
% 58.08/9.45 tff(f53247,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1 | ~linordered_idom(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39522])).
% 58.08/9.45 tff(f99765,plain,(
% 58.08/9.45 spl5880_3705),
% 58.08/9.45 inference(avatar_split_clause,[],[f67848,f99763])).
% 58.08/9.45 tff(f99763,plain,(
% 58.08/9.45 spl5880_3705 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~linord5086331880401160121up_add(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3705])])).
% 58.08/9.45 tff(f67848,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~linord5086331880401160121up_add(X0)) )),
% 58.08/9.45 inference(equality_resolution,[],[f52915])).
% 58.08/9.45 tff(f52915,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 | zero_zero(X0) != X1 | ~linord5086331880401160121up_add(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39383])).
% 58.08/9.45 tff(f99761,plain,(
% 58.08/9.45 spl5880_3704),
% 58.08/9.45 inference(avatar_split_clause,[],[f67789,f99759])).
% 58.08/9.45 tff(f99759,plain,(
% 58.08/9.45 spl5880_3704 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~field(X0))),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3704])])).
% 58.08/9.45 tff(f67789,plain,(
% 58.08/9.45 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~field(X0)) )),
% 58.08/9.45 inference(equality_resolution,[],[f52442])).
% 58.08/9.45 tff(f52442,plain,(
% 58.08/9.45 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) | one_one(X0) != X1 | ~field(X0)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f39293])).
% 58.08/9.45 tff(f99757,plain,(
% 58.08/9.45 spl5880_3703),
% 58.08/9.45 inference(avatar_split_clause,[],[f67555,f99755])).
% 58.08/9.45 tff(f99755,plain,(
% 58.08/9.45 spl5880_3703 <=> ! [X3 : $tType,X5 : nat] : aa(nat,X3,semiring_1_of_nat(X3),X5) = iG577(X3,one_one(X3),X5)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3703])])).
% 58.08/9.45 tff(f99753,plain,(
% 58.08/9.45 spl5880_3702),
% 58.08/9.45 inference(avatar_split_clause,[],[f67419,f99751])).
% 58.08/9.45 tff(f99751,plain,(
% 58.08/9.45 spl5880_3702 <=> ! [X8 : $tType,X5 : $tType,X7 : X8,X9 : fun(X8,X5)] : aa(X8,X5,X9,X7) = iG775(X5,X8,X7,X7,X9)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3702])])).
% 58.08/9.45 tff(f67419,plain,(
% 58.08/9.45 ( ! [X5 : $tType,X8 : $tType,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG775(X5,X8,X7,X7,X9)) )),
% 58.08/9.45 inference(equality_resolution,[],[f48207])).
% 58.08/9.45 tff(f48207,plain,(
% 58.08/9.45 ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X6) = iG775(X5,X8,X6,X7,X9) | X6 != X7) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27825])).
% 58.08/9.45 tff(f27825,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG775(X0,X3,X1,X2,X4) | X1 = X2) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG775(X5,X8,X6,X7,X9) | X6 != X7)),
% 58.08/9.45 inference(ennf_transformation,[],[f21989])).
% 58.08/9.45 tff(f21989,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (X1 != X2 => one_one(X0) = iG775(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG775(X5,X8,X6,X7,X9))),
% 58.08/9.45 inference(flattening,[],[f21988])).
% 58.08/9.45 tff(f21988,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~X1 = X2 => one_one(X0) = iG775(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG775(X5,X8,X6,X7,X9))),
% 58.08/9.45 inference(rectify,[],[f15173])).
% 58.08/9.45 tff(f15173,plain,(
% 58.08/9.45 ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (~X2 = X4 => one_one(X1) = iG775(X1,X0,X4,X2,X3)) & ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (X2 = X4 => aa(X0,X1,X3,X4) = iG775(X1,X0,X4,X2,X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG775])])).
% 58.08/9.45 tff(f99749,plain,(
% 58.08/9.45 spl5880_3701),
% 58.08/9.45 inference(avatar_split_clause,[],[f67418,f99747])).
% 58.08/9.45 tff(f99747,plain,(
% 58.08/9.45 spl5880_3701 <=> ! [X8 : $tType,X5 : $tType,X7 : X8,X9 : fun(X8,X5)] : aa(X8,X5,X9,X7) = iG776(X5,X8,X7,X7,X9)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3701])])).
% 58.08/9.45 tff(f67418,plain,(
% 58.08/9.45 ( ! [X5 : $tType,X8 : $tType,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG776(X5,X8,X7,X7,X9)) )),
% 58.08/9.45 inference(equality_resolution,[],[f48205])).
% 58.08/9.45 tff(f48205,plain,(
% 58.08/9.45 ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X6) = iG776(X5,X8,X6,X7,X9) | X6 != X7) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27824])).
% 58.08/9.45 tff(f27824,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG776(X0,X3,X1,X2,X4) | X1 = X2) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG776(X5,X8,X6,X7,X9) | X6 != X7)),
% 58.08/9.45 inference(ennf_transformation,[],[f21987])).
% 58.08/9.45 tff(f21987,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (X1 != X2 => one_one(X0) = iG776(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG776(X5,X8,X6,X7,X9))),
% 58.08/9.45 inference(flattening,[],[f21986])).
% 58.08/9.45 tff(f21986,plain,(
% 58.08/9.45 ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~X1 = X2 => one_one(X0) = iG776(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG776(X5,X8,X6,X7,X9))),
% 58.08/9.45 inference(rectify,[],[f15176])).
% 58.08/9.45 tff(f15176,plain,(
% 58.08/9.45 ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (~X2 = X4 => one_one(X1) = iG776(X1,X0,X4,X2,X3)) & ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (X2 = X4 => aa(X0,X1,X3,X4) = iG776(X1,X0,X4,X2,X3))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG776])])).
% 58.08/9.45 tff(f99744,plain,(
% 58.08/9.45 spl5880_3700),
% 58.08/9.45 inference(avatar_split_clause,[],[f67333,f99741])).
% 58.08/9.45 tff(f67333,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899($true)),
% 58.08/9.45 inference(equality_resolution,[],[f47951])).
% 58.08/9.45 tff(f47951,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27780])).
% 58.08/9.45 tff(f27780,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG899(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21808])).
% 58.08/9.45 tff(f21808,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG899(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899(X1))),
% 58.08/9.45 inference(flattening,[],[f21807])).
% 58.08/9.45 tff(f21807,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG899(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899(X1))),
% 58.08/9.45 inference(rectify,[],[f15519])).
% 58.08/9.45 tff(f15519,plain,(
% 58.08/9.45 ! [X2 : $o] : (~($true = X2) => none(nat) = iG899(X2)) & ! [X2 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG899(X2))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG899])])).
% 58.08/9.45 tff(f99738,plain,(
% 58.08/9.45 spl5880_3699 | ~spl5880_3698),
% 58.08/9.45 inference(avatar_split_clause,[],[f99733,f99729,f99735])).
% 58.08/9.45 tff(f99735,plain,(
% 58.08/9.45 spl5880_3699 <=> iG903($true) = iG899($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3699])])).
% 58.08/9.45 tff(f99729,plain,(
% 58.08/9.45 spl5880_3698 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3698])])).
% 58.08/9.45 tff(f99733,plain,(
% 58.08/9.45 iG903($true) = iG899($true) | ~spl5880_3698),
% 58.08/9.45 inference(forward_demodulation,[],[f99731,f67333])).
% 58.08/9.45 tff(f99731,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903($true) | ~spl5880_3698),
% 58.08/9.45 inference(avatar_component_clause,[],[f99729])).
% 58.08/9.45 tff(f99732,plain,(
% 58.08/9.45 spl5880_3698),
% 58.08/9.45 inference(avatar_split_clause,[],[f67329,f99729])).
% 58.08/9.45 tff(f67329,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903($true)),
% 58.08/9.45 inference(equality_resolution,[],[f47943])).
% 58.08/9.45 tff(f47943,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27778])).
% 58.08/9.45 tff(f27778,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG903(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21802])).
% 58.08/9.45 tff(f21802,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG903(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903(X1))),
% 58.08/9.45 inference(flattening,[],[f21801])).
% 58.08/9.45 tff(f21801,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG903(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903(X1))),
% 58.08/9.45 inference(rectify,[],[f15525])).
% 58.08/9.45 tff(f15525,plain,(
% 58.08/9.45 ! [X2 : $o] : (~($true = X2) => none(nat) = iG903(X2)) & ! [X2 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG903(X2))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG903])])).
% 58.08/9.45 tff(f99726,plain,(
% 58.08/9.45 spl5880_3697 | ~spl5880_3696),
% 58.08/9.45 inference(avatar_split_clause,[],[f99721,f99717,f99723])).
% 58.08/9.45 tff(f99723,plain,(
% 58.08/9.45 spl5880_3697 <=> iG1038($true) = iG903($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3697])])).
% 58.08/9.45 tff(f99717,plain,(
% 58.08/9.45 spl5880_3696 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3696])])).
% 58.08/9.45 tff(f99721,plain,(
% 58.08/9.45 iG1038($true) = iG903($true) | ~spl5880_3696),
% 58.08/9.45 inference(forward_demodulation,[],[f99719,f67329])).
% 58.08/9.45 tff(f99719,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038($true) | ~spl5880_3696),
% 58.08/9.45 inference(avatar_component_clause,[],[f99717])).
% 58.08/9.45 tff(f99720,plain,(
% 58.08/9.45 spl5880_3696),
% 58.08/9.45 inference(avatar_split_clause,[],[f67212,f99717])).
% 58.08/9.45 tff(f67212,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038($true)),
% 58.08/9.45 inference(equality_resolution,[],[f47637])).
% 58.08/9.45 tff(f47637,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27712])).
% 58.08/9.45 tff(f27712,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1038(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21593])).
% 58.08/9.45 tff(f21593,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1038(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038(X1))),
% 58.08/9.45 inference(flattening,[],[f21592])).
% 58.08/9.45 tff(f21592,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1038(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038(X1))),
% 58.08/9.45 inference(rectify,[],[f17220])).
% 58.08/9.45 tff(f17220,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1038(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1038(X0))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1038])])).
% 58.08/9.45 tff(f99714,plain,(
% 58.08/9.45 spl5880_3695 | ~spl5880_3694),
% 58.08/9.45 inference(avatar_split_clause,[],[f99709,f99705,f99711])).
% 58.08/9.45 tff(f99711,plain,(
% 58.08/9.45 spl5880_3695 <=> iG1381($true) = iG1038($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3695])])).
% 58.08/9.45 tff(f99705,plain,(
% 58.08/9.45 spl5880_3694 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3694])])).
% 58.08/9.45 tff(f99709,plain,(
% 58.08/9.45 iG1381($true) = iG1038($true) | ~spl5880_3694),
% 58.08/9.45 inference(forward_demodulation,[],[f99707,f67212])).
% 58.08/9.45 tff(f99707,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381($true) | ~spl5880_3694),
% 58.08/9.45 inference(avatar_component_clause,[],[f99705])).
% 58.08/9.45 tff(f99708,plain,(
% 58.08/9.45 spl5880_3694),
% 58.08/9.45 inference(avatar_split_clause,[],[f67004,f99705])).
% 58.08/9.45 tff(f67004,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46993])).
% 58.08/9.45 tff(f46993,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27569])).
% 58.08/9.45 tff(f27569,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1381(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21158])).
% 58.08/9.45 tff(f21158,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1381(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381(X1))),
% 58.08/9.45 inference(flattening,[],[f21157])).
% 58.08/9.45 tff(f21157,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1381(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381(X1))),
% 58.08/9.45 inference(rectify,[],[f17755])).
% 58.08/9.45 tff(f17755,plain,(
% 58.08/9.45 ! [X5 : $o] : (~($true = X5) => none(nat) = iG1381(X5)) & ! [X5 : $o] : (($true = X5) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1381(X5))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1381])])).
% 58.08/9.45 tff(f99702,plain,(
% 58.08/9.45 spl5880_3693 | ~spl5880_3692),
% 58.08/9.45 inference(avatar_split_clause,[],[f99697,f99693,f99699])).
% 58.08/9.45 tff(f99699,plain,(
% 58.08/9.45 spl5880_3693 <=> iG1384($true) = iG1381($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3693])])).
% 58.08/9.45 tff(f99693,plain,(
% 58.08/9.45 spl5880_3692 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3692])])).
% 58.08/9.45 tff(f99697,plain,(
% 58.08/9.45 iG1384($true) = iG1381($true) | ~spl5880_3692),
% 58.08/9.45 inference(forward_demodulation,[],[f99695,f67004])).
% 58.08/9.45 tff(f99695,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384($true) | ~spl5880_3692),
% 58.08/9.45 inference(avatar_component_clause,[],[f99693])).
% 58.08/9.45 tff(f99696,plain,(
% 58.08/9.45 spl5880_3692),
% 58.08/9.45 inference(avatar_split_clause,[],[f67001,f99693])).
% 58.08/9.45 tff(f67001,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46987])).
% 58.08/9.45 tff(f46987,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27568])).
% 58.08/9.45 tff(f27568,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1384(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21154])).
% 58.08/9.45 tff(f21154,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1384(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384(X1))),
% 58.08/9.45 inference(flattening,[],[f21153])).
% 58.08/9.45 tff(f21153,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1384(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384(X1))),
% 58.08/9.45 inference(rectify,[],[f17758])).
% 58.08/9.45 tff(f17758,plain,(
% 58.08/9.45 ! [X7 : $o] : (~($true = X7) => none(nat) = iG1384(X7)) & ! [X7 : $o] : (($true = X7) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1384(X7))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1384])])).
% 58.08/9.45 tff(f99690,plain,(
% 58.08/9.45 spl5880_3691),
% 58.08/9.45 inference(avatar_split_clause,[],[f66997,f99687])).
% 58.08/9.45 tff(f66997,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG1397($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46964])).
% 58.08/9.45 tff(f46964,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1397(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27560])).
% 58.08/9.45 tff(f27560,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1397(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1397(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21135])).
% 58.08/9.45 tff(f21135,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1397(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1397(X1))),
% 58.08/9.45 inference(flattening,[],[f21134])).
% 58.08/9.45 tff(f21134,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1397(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1397(X1))),
% 58.08/9.45 inference(rectify,[],[f17773])).
% 58.08/9.45 tff(f17773,plain,(
% 58.08/9.45 ! [X4 : $o] : (~($true = X4) => none(nat) = iG1397(X4)) & ! [X4 : $o] : (($true = X4) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1397(X4))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1397])])).
% 58.08/9.45 tff(f99684,plain,(
% 58.08/9.45 spl5880_3690 | ~spl5880_3689),
% 58.08/9.45 inference(avatar_split_clause,[],[f99679,f99675,f99681])).
% 58.08/9.45 tff(f99681,plain,(
% 58.08/9.45 spl5880_3690 <=> iG1410($true) = iG1397($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3690])])).
% 58.08/9.45 tff(f99675,plain,(
% 58.08/9.45 spl5880_3689 <=> aa(nat,option(nat),some(nat),one_one(nat)) = iG1410($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3689])])).
% 58.08/9.45 tff(f99679,plain,(
% 58.08/9.45 iG1410($true) = iG1397($true) | ~spl5880_3689),
% 58.08/9.45 inference(forward_demodulation,[],[f99677,f66997])).
% 58.08/9.45 tff(f99677,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG1410($true) | ~spl5880_3689),
% 58.08/9.45 inference(avatar_component_clause,[],[f99675])).
% 58.08/9.45 tff(f99678,plain,(
% 58.08/9.45 spl5880_3689),
% 58.08/9.45 inference(avatar_split_clause,[],[f66992,f99675])).
% 58.08/9.45 tff(f66992,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),one_one(nat)) = iG1410($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46941])).
% 58.08/9.45 tff(f46941,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1410(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27554])).
% 58.08/9.45 tff(f27554,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1410(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1410(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21118])).
% 58.08/9.45 tff(f21118,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1410(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1410(X1))),
% 58.08/9.45 inference(flattening,[],[f21117])).
% 58.08/9.45 tff(f21117,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1410(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1410(X1))),
% 58.08/9.45 inference(rectify,[],[f17788])).
% 58.08/9.45 tff(f17788,plain,(
% 58.08/9.45 ! [X4 : $o] : (~($true = X4) => none(nat) = iG1410(X4)) & ! [X4 : $o] : (($true = X4) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1410(X4))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1410])])).
% 58.08/9.45 tff(f99672,plain,(
% 58.08/9.45 spl5880_3688 | ~spl5880_3687),
% 58.08/9.45 inference(avatar_split_clause,[],[f99667,f99663,f99669])).
% 58.08/9.45 tff(f99669,plain,(
% 58.08/9.45 spl5880_3688 <=> iG1431($true) = iG1384($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3688])])).
% 58.08/9.45 tff(f99663,plain,(
% 58.08/9.45 spl5880_3687 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3687])])).
% 58.08/9.45 tff(f99667,plain,(
% 58.08/9.45 iG1431($true) = iG1384($true) | ~spl5880_3687),
% 58.08/9.45 inference(forward_demodulation,[],[f99665,f67001])).
% 58.08/9.45 tff(f99665,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431($true) | ~spl5880_3687),
% 58.08/9.45 inference(avatar_component_clause,[],[f99663])).
% 58.08/9.45 tff(f99666,plain,(
% 58.08/9.45 spl5880_3687),
% 58.08/9.45 inference(avatar_split_clause,[],[f66979,f99663])).
% 58.08/9.45 tff(f66979,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46902])).
% 58.08/9.45 tff(f46902,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27548])).
% 58.08/9.45 tff(f27548,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1431(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431(X1) | ($true != X1))),
% 58.08/9.45 inference(ennf_transformation,[],[f21093])).
% 58.08/9.45 tff(f21093,plain,(
% 58.08/9.45 ! [X0 : $o] : (($true != X0) => none(nat) = iG1431(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431(X1))),
% 58.08/9.45 inference(flattening,[],[f21092])).
% 58.08/9.45 tff(f21092,plain,(
% 58.08/9.45 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1431(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431(X1))),
% 58.08/9.45 inference(rectify,[],[f17811])).
% 58.08/9.45 tff(f17811,plain,(
% 58.08/9.45 ! [X5 : $o] : (~($true = X5) => none(nat) = iG1431(X5)) & ! [X5 : $o] : (($true = X5) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1431(X5))),
% 58.08/9.45 introduced(fool_ite_definition,[new_symbols(definition,[iG1431])])).
% 58.08/9.45 tff(f99660,plain,(
% 58.08/9.45 spl5880_3686 | ~spl5880_3685),
% 58.08/9.45 inference(avatar_split_clause,[],[f99655,f99651,f99657])).
% 58.08/9.45 tff(f99657,plain,(
% 58.08/9.45 spl5880_3686 <=> iG1436($true) = iG1431($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3686])])).
% 58.08/9.45 tff(f99651,plain,(
% 58.08/9.45 spl5880_3685 <=> aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436($true)),
% 58.08/9.45 introduced(avatar_definition,[new_symbols(naming,[spl5880_3685])])).
% 58.08/9.45 tff(f99655,plain,(
% 58.08/9.45 iG1436($true) = iG1431($true) | ~spl5880_3685),
% 58.08/9.45 inference(forward_demodulation,[],[f99653,f66979])).
% 58.08/9.45 tff(f99653,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436($true) | ~spl5880_3685),
% 58.08/9.45 inference(avatar_component_clause,[],[f99651])).
% 58.08/9.45 tff(f99654,plain,(
% 58.08/9.45 spl5880_3685),
% 58.08/9.45 inference(avatar_split_clause,[],[f66974,f99651])).
% 58.08/9.45 tff(f66974,plain,(
% 58.08/9.45 aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436($true)),
% 58.08/9.45 inference(equality_resolution,[],[f46892])).
% 58.08/9.45 tff(f46892,plain,(
% 58.08/9.45 ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436(X1) | ($true != X1)) )),
% 58.08/9.45 inference(cnf_transformation,[],[f27547])).
% 58.08/9.45 tff(f27547,plain,(
% 58.08/9.45 ! [X0 : $o] : (none(nat) = iG1436(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436(X1) | ($true != X1))),
% 58.08/9.46 inference(ennf_transformation,[],[f21087])).
% 58.08/9.46 tff(f21087,plain,(
% 58.08/9.46 ! [X0 : $o] : (($true != X0) => none(nat) = iG1436(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436(X1))),
% 58.08/9.46 inference(flattening,[],[f21086])).
% 58.08/9.46 tff(f21086,plain,(
% 58.08/9.46 ! [X0 : $o] : (~($true = X0) => none(nat) = iG1436(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436(X1))),
% 58.08/9.46 inference(rectify,[],[f17816])).
% 58.08/9.46 tff(f17816,plain,(
% 58.08/9.46 ! [X7 : $o] : (~($true = X7) => none(nat) = iG1436(X7)) & ! [X7 : $o] : (($true = X7) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG1436(X7))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1436])])).
% 58.08/9.46 tff(f99649,plain,(
% 58.08/9.46 spl5880_3684),
% 58.08/9.46 inference(avatar_split_clause,[],[f66803,f99647])).
% 58.08/9.46 tff(f99647,plain,(
% 58.08/9.46 spl5880_3684 <=> ! [X9 : nat,X7 : vEBT_VEBT,X6 : nat,X8 : list(vEBT_VEBT)] : iG1843(X7,X8,X9,X6) = iG1844(X6,X6,X7,X8,X9)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3684])])).
% 58.08/9.46 tff(f66803,plain,(
% 58.08/9.46 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT] : (iG1843(X7,X8,X9,X6) = iG1844(X6,X6,X7,X8,X9)) )),
% 58.08/9.46 inference(equality_resolution,[],[f46103])).
% 58.08/9.46 tff(f46103,plain,(
% 58.08/9.46 ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG1843(X7,X8,X9,X5) = iG1844(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27303])).
% 58.08/9.46 tff(f27303,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1844(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG1843(X7,X8,X9,X5) = iG1844(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.08/9.46 inference(ennf_transformation,[],[f20479])).
% 58.08/9.46 tff(f20479,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1844(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => iG1843(X7,X8,X9,X5) = iG1844(X5,X6,X7,X8,X9))),
% 58.08/9.46 inference(flattening,[],[f20478])).
% 58.08/9.46 tff(f20478,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1844(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => iG1843(X7,X8,X9,X5) = iG1844(X5,X6,X7,X8,X9))),
% 58.08/9.46 inference(rectify,[],[f20426])).
% 58.08/9.46 tff(f20426,plain,(
% 58.08/9.46 ! [X4 : nat,X2 : nat,X11 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1844(X4,X2,X11,X10,X3) = X2) & ! [X4 : nat,X2 : nat,X11 : vEBT_VEBT,X10 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => iG1843(X11,X10,X3,X4) = iG1844(X4,X2,X11,X10,X3))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1844])])).
% 58.08/9.46 tff(f99645,plain,(
% 58.08/9.46 spl5880_3683),
% 58.08/9.46 inference(avatar_split_clause,[],[f65955,f99643])).
% 58.08/9.46 tff(f99643,plain,(
% 58.08/9.46 spl5880_3683 <=> ! [X0 : int,X1 : int] : modulo_modulo(code_integer,iG307(X0),iG307(X1)) = iG307(modulo_modulo(int,X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3683])])).
% 58.08/9.46 tff(f65955,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (modulo_modulo(code_integer,iG307(X0),iG307(X1)) = iG307(modulo_modulo(int,X0,X1))) )),
% 58.08/9.46 inference(definition_unfolding,[],[f56722,f50611,f50611,f50611])).
% 58.08/9.46 tff(f50611,plain,(
% 58.08/9.46 ( ! [X0 : int] : (code_integer_of_int(X0) = iG307(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f9926])).
% 58.08/9.46 tff(f9926,plain,(
% 58.08/9.46 ! [X0 : int] : code_integer_of_int(X0) = iG307(X0)),
% 58.08/9.46 inference(fool_elimination,[],[f9921,f9925,f9924,f9923,f9922])).
% 58.08/9.46 tff(f9922,plain,(
% 58.08/9.46 ! [X0 : int] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),code_integer_of_int(divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG304(X0)),
% 58.08/9.46 introduced(fool_let_definition,[new_symbols(definition,[lG304])])).
% 58.08/9.46 tff(f9923,plain,(
% 58.08/9.46 ! [X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG304(X0)),one_one(code_integer)) = iG305(X0)) & ! [X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG304(X0) = iG305(X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG305])])).
% 58.08/9.46 tff(f9924,plain,(
% 58.08/9.46 ! [X0 : int] : (~zero_zero(int) = X0 => iG305(X0) = iG306(X0)) & ! [X0 : int] : (zero_zero(int) = X0 => zero_zero(code_integer) = iG306(X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG306])])).
% 58.08/9.46 tff(f9925,plain,(
% 58.08/9.46 ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG306(X0) = iG307(X0)) & ! [X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X0))) = iG307(X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG307])])).
% 58.08/9.46 tff(f9921,plain,(
% 58.08/9.46 ! [X0 : int] : code_integer_of_int(X0) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)), aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X0))),$ite(zero_zero(int) = X0, zero_zero(code_integer),$let(l240: code_integer, l240 := aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),code_integer_of_int(divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))), $ite(zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))), l240,aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),l240),one_one(code_integer))))))),
% 58.08/9.46 inference(rectify,[],[f5419])).
% 58.08/9.46 tff(f5419,axiom,(
% 58.08/9.46 ! [X24 : int] : code_integer_of_int(X24) = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),zero_zero(int)), aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X24))),$ite(zero_zero(int) = X24, zero_zero(code_integer),$let(l240: code_integer, l240 := aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),code_integer_of_int(divide_divide(int,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))), $ite(zero_zero(int) = modulo_modulo(int,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))), l240,aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),l240),one_one(code_integer))))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5418_integer__of__int__code)).
% 58.08/9.46 tff(f56722,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (modulo_modulo(code_integer,code_integer_of_int(X0),code_integer_of_int(X1)) = code_integer_of_int(modulo_modulo(int,X0,X1))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f25275])).
% 58.08/9.46 tff(f25275,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : modulo_modulo(code_integer,code_integer_of_int(X0),code_integer_of_int(X1)) = code_integer_of_int(modulo_modulo(int,X0,X1))),
% 58.08/9.46 inference(rectify,[],[f5424])).
% 58.08/9.46 tff(f5424,axiom,(
% 58.08/9.46 ! [X111 : int,X9 : int] : modulo_modulo(code_integer,code_integer_of_int(X111),code_integer_of_int(X9)) = code_integer_of_int(modulo_modulo(int,X111,X9))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5423_modulo__integer_Oabs__eq)).
% 58.08/9.46 tff(f99641,plain,(
% 58.08/9.46 spl5880_3682),
% 58.08/9.46 inference(avatar_split_clause,[],[f65954,f99639])).
% 58.08/9.46 tff(f99639,plain,(
% 58.08/9.46 spl5880_3682 <=> ! [X0 : code_integer,X1 : code_integer] : iG310(modulo_modulo(code_integer,X0,X1)) = modulo_modulo(int,iG310(X0),iG310(X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3682])])).
% 58.08/9.46 tff(f65954,plain,(
% 58.08/9.46 ( ! [X0 : code_integer,X1 : code_integer] : (iG310(modulo_modulo(code_integer,X0,X1)) = modulo_modulo(int,iG310(X0),iG310(X1))) )),
% 58.08/9.46 inference(definition_unfolding,[],[f56720,f50613,f50613,f50613])).
% 58.08/9.46 tff(f56720,plain,(
% 58.08/9.46 ( ! [X0 : code_integer,X1 : code_integer] : (code_int_of_integer(modulo_modulo(code_integer,X0,X1)) = modulo_modulo(int,code_int_of_integer(X0),code_int_of_integer(X1))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f25273])).
% 58.08/9.46 tff(f25273,plain,(
% 58.08/9.46 ! [X0 : code_integer,X1 : code_integer] : code_int_of_integer(modulo_modulo(code_integer,X0,X1)) = modulo_modulo(int,code_int_of_integer(X0),code_int_of_integer(X1))),
% 58.08/9.46 inference(rectify,[],[f5448])).
% 58.08/9.46 tff(f5448,axiom,(
% 58.08/9.46 ! [X9 : code_integer,X111 : code_integer] : code_int_of_integer(modulo_modulo(code_integer,X9,X111)) = modulo_modulo(int,code_int_of_integer(X9),code_int_of_integer(X111))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5447_modulo__integer_Orep__eq)).
% 58.08/9.46 tff(f99637,plain,(
% 58.08/9.46 spl5880_3681),
% 58.08/9.46 inference(avatar_split_clause,[],[f65649,f99635])).
% 58.08/9.46 tff(f99635,plain,(
% 58.08/9.46 spl5880_3681 <=> ! [X0 : int,X1 : int] : (modulo_modulo(int,X1,X0) = iG644(X0,X1) | zero_zero(int) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3681])])).
% 58.08/9.46 tff(f65649,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X1,X0) = iG644(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.46 inference(definition_unfolding,[],[f48476,f57189])).
% 58.08/9.46 tff(f57189,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = iG645(X1,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f14632])).
% 58.08/9.46 tff(f14632,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : modulo_modulo(int,X0,X1) = iG645(X1,X0)),
% 58.08/9.46 inference(fool_elimination,[],[f14628,f14631,f14630,f14629])).
% 58.08/9.46 tff(f14629,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG643(X0,X1)))),
% 58.08/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG643])])).
% 58.08/9.46 tff(f14630,plain,(
% 58.08/9.46 ! [X1 : int,X0 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X1)),aa($o,int,zero_neq_one_of_bool(int),bG643(X0,X1)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))))) = iG644(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))))) = iG644(X1,X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG644])])).
% 58.08/9.46 tff(f14631,plain,(
% 58.08/9.46 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => iG644(X1,X0) = iG645(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG645(X1,X0) = X0)),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG645])])).
% 58.08/9.46 tff(f14628,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : modulo_modulo(int,X0,X1) = $ite(zero_zero(int) = X1, X0,$ite(aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1), aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X1)),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))))))))),
% 58.08/9.46 inference(rectify,[],[f4709])).
% 58.08/9.46 tff(f4709,axiom,(
% 58.08/9.46 ! [X24 : int,X14 : int] : modulo_modulo(int,X24,X14) = $ite(zero_zero(int) = X14, X24,$ite(aa(int,int,sgn_sgn(int),X24) = aa(int,int,sgn_sgn(int),X14), aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X14)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X24)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X14))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X14)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X14)),aa($o,int,zero_neq_one_of_bool(int),~dvd_dvd(int,X14,X24)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X24)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X14))))))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4708_modulo__int__def)).
% 58.08/9.46 tff(f48476,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (iG644(X0,X1) = iG645(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27897])).
% 58.08/9.46 tff(f27897,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (iG644(X0,X1) = iG645(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG645(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.08/9.46 inference(ennf_transformation,[],[f22151])).
% 58.08/9.46 tff(f22151,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG644(X0,X1) = iG645(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG645(X2,X3) = X3)),
% 58.08/9.46 inference(flattening,[],[f22150])).
% 58.08/9.46 tff(f22150,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG644(X0,X1) = iG645(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG645(X2,X3) = X3)),
% 58.08/9.46 inference(rectify,[],[f14631])).
% 58.08/9.46 tff(f99633,plain,(
% 58.08/9.46 spl5880_3680),
% 58.08/9.46 inference(avatar_split_clause,[],[f65645,f99631])).
% 58.08/9.46 tff(f99631,plain,(
% 58.08/9.46 spl5880_3680 <=> ! [X0 : int,X1 : int] : (divide_divide(int,X1,X0) = iG648(X0,X1) | zero_zero(int) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3680])])).
% 58.08/9.46 tff(f65645,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (divide_divide(int,X1,X0) = iG648(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.46 inference(definition_unfolding,[],[f48468,f57191])).
% 58.08/9.46 tff(f57191,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (divide_divide(int,X0,X1) = iG649(X1,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f14640])).
% 58.08/9.46 tff(f14640,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : divide_divide(int,X0,X1) = iG649(X1,X0)),
% 58.08/9.46 inference(fool_elimination,[],[f14636,f14639,f14638,f14637])).
% 58.08/9.46 tff(f14637,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG647(X0,X1)))),
% 58.08/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG647])])).
% 58.08/9.46 tff(f14638,plain,(
% 58.08/9.46 ! [X1 : int,X0 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))),aa($o,nat,zero_neq_one_of_bool(nat),bG647(X0,X1))))) = iG648(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))) = iG648(X1,X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG648])])).
% 58.08/9.46 tff(f14639,plain,(
% 58.08/9.46 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => iG648(X1,X0) = iG649(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG649(X1,X0))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG649])])).
% 58.08/9.46 tff(f14636,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : divide_divide(int,X0,X1) = $ite(zero_zero(int) = X1, zero_zero(int),$ite(aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1), aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))),aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))),aa($o,nat,zero_neq_one_of_bool(nat),~dvd_dvd(int,X1,X0)))))))),
% 58.08/9.46 inference(rectify,[],[f4708])).
% 58.08/9.46 tff(f4708,axiom,(
% 58.08/9.46 ! [X24 : int,X14 : int] : divide_divide(int,X24,X14) = $ite(zero_zero(int) = X14, zero_zero(int),$ite(aa(int,int,sgn_sgn(int),X24) = aa(int,int,sgn_sgn(int),X14), aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X24)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X14)))),aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X24)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X14)))),aa($o,nat,zero_neq_one_of_bool(nat),~dvd_dvd(int,X14,X24)))))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4707_divide__int__def)).
% 58.08/9.46 tff(f48468,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (iG648(X0,X1) = iG649(X0,X1) | zero_zero(int) = X0) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27894])).
% 58.08/9.46 tff(f27894,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (iG648(X0,X1) = iG649(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG649(X2,X3) | zero_zero(int) != X2)),
% 58.08/9.46 inference(ennf_transformation,[],[f22145])).
% 58.08/9.46 tff(f22145,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG648(X0,X1) = iG649(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG649(X2,X3))),
% 58.08/9.46 inference(flattening,[],[f22144])).
% 58.08/9.46 tff(f22144,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG648(X0,X1) = iG649(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG649(X2,X3))),
% 58.08/9.46 inference(rectify,[],[f14639])).
% 58.08/9.46 tff(f99629,plain,(
% 58.08/9.46 spl5880_3679),
% 58.08/9.46 inference(avatar_split_clause,[],[f63423,f99627])).
% 58.08/9.46 tff(f99627,plain,(
% 58.08/9.46 spl5880_3679 <=> ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : X1] : (sK5494(X1,X0,X2,X3) = X2 | ~sP2454(X1,X0,X2,X3))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3679])])).
% 58.08/9.46 tff(f63423,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : set(product_prod(X1,X1))] : (sK5494(X1,X0,X2,X3) = X2 | ~sP2454(X1,X0,X2,X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45251])).
% 58.08/9.46 tff(f45251,plain,(
% 58.08/9.46 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1] : ((sP2454(X1,X0,X2,X3) | ! [X4 : X1,X5 : X1,X6 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X6),X0) | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),transitive_rtrancl(X1,X0)) | X2 != X6 | X3 != X4)) & ((member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5493(X1,X0,X2,X3)),sK5494(X1,X0,X2,X3)),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5492(X1,X0,X2,X3)),sK5493(X1,X0,X2,X3)),transitive_rtrancl(X1,X0)) & sK5494(X1,X0,X2,X3) = X2 & sK5492(X1,X0,X2,X3) = X3) | ~sP2454(X1,X0,X2,X3)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5492,sK5493,sK5494])],[f45249,f45250])).
% 58.08/9.46 tff(f45250,plain,(
% 58.08/9.46 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : X1,X3 : X1] : (? [X7 : X1,X8 : X1,X9 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X8),X9),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),transitive_rtrancl(X1,X0)) & X2 = X9 & X3 = X7) => (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5493(X1,X0,X2,X3)),sK5494(X1,X0,X2,X3)),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5492(X1,X0,X2,X3)),sK5493(X1,X0,X2,X3)),transitive_rtrancl(X1,X0)) & sK5494(X1,X0,X2,X3) = X2 & sK5492(X1,X0,X2,X3) = X3))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f45249,plain,(
% 58.08/9.46 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1] : ((sP2454(X1,X0,X2,X3) | ! [X4 : X1,X5 : X1,X6 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X6),X0) | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),transitive_rtrancl(X1,X0)) | X2 != X6 | X3 != X4)) & (? [X7 : X1,X8 : X1,X9 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X8),X9),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),transitive_rtrancl(X1,X0)) & X2 = X9 & X3 = X7) | ~sP2454(X1,X0,X2,X3)))),
% 58.08/9.46 inference(rectify,[],[f45248])).
% 58.08/9.46 tff(f45248,plain,(
% 58.08/9.46 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0] : ((sP2454(X0,X3,X2,X1) | ! [X4 : X0,X5 : X0,X6 : X0] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) | ~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_rtrancl(X0,X3)) | X2 != X6 | X1 != X4)) & (? [X4 : X0,X5 : X0,X6 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_rtrancl(X0,X3)) & X2 = X6 & X1 = X4) | ~sP2454(X0,X3,X2,X1)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37842])).
% 58.08/9.46 tff(f37842,plain,(
% 58.08/9.46 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0] : (sP2454(X0,X3,X2,X1) <=> ? [X4 : X0,X5 : X0,X6 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_rtrancl(X0,X3)) & X2 = X6 & X1 = X4))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2454])])).
% 58.08/9.46 tff(f99625,plain,(
% 58.08/9.46 spl5880_3678),
% 58.08/9.46 inference(avatar_split_clause,[],[f63422,f99623])).
% 58.08/9.46 tff(f99623,plain,(
% 58.08/9.46 spl5880_3678 <=> ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : X1] : (sK5492(X1,X0,X2,X3) = X3 | ~sP2454(X1,X0,X2,X3))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3678])])).
% 58.08/9.46 tff(f63422,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : set(product_prod(X1,X1))] : (sK5492(X1,X0,X2,X3) = X3 | ~sP2454(X1,X0,X2,X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45251])).
% 58.08/9.46 tff(f99621,plain,(
% 58.08/9.46 spl5880_3677),
% 58.08/9.46 inference(avatar_split_clause,[],[f63412,f99619])).
% 58.08/9.46 tff(f99619,plain,(
% 58.08/9.46 spl5880_3677 <=> ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : X1] : (sK5491(X1,X0,X2,X3) = X2 | ~sP2452(X1,X0,X2,X3))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3677])])).
% 58.08/9.46 tff(f63412,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : set(product_prod(X1,X1))] : (sK5491(X1,X0,X2,X3) = X2 | ~sP2452(X1,X0,X2,X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45244])).
% 58.08/9.46 tff(f45244,plain,(
% 58.08/9.46 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1] : ((sP2452(X1,X0,X2,X3) | ! [X4 : X1,X5 : X1,X6 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X6),X0) | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),transitive_trancl(X1,X0)) | X2 != X6 | X3 != X4)) & ((member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5490(X1,X0,X2,X3)),sK5491(X1,X0,X2,X3)),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5489(X1,X0,X2,X3)),sK5490(X1,X0,X2,X3)),transitive_trancl(X1,X0)) & sK5491(X1,X0,X2,X3) = X2 & sK5489(X1,X0,X2,X3) = X3) | ~sP2452(X1,X0,X2,X3)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5489,sK5490,sK5491])],[f45242,f45243])).
% 58.08/9.46 tff(f45243,plain,(
% 58.08/9.46 ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : X1,X3 : X1] : (? [X7 : X1,X8 : X1,X9 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X8),X9),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),transitive_trancl(X1,X0)) & X2 = X9 & X3 = X7) => (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5490(X1,X0,X2,X3)),sK5491(X1,X0,X2,X3)),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),sK5489(X1,X0,X2,X3)),sK5490(X1,X0,X2,X3)),transitive_trancl(X1,X0)) & sK5491(X1,X0,X2,X3) = X2 & sK5489(X1,X0,X2,X3) = X3))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f45242,plain,(
% 58.08/9.46 ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1] : ((sP2452(X1,X0,X2,X3) | ! [X4 : X1,X5 : X1,X6 : X1] : (~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X5),X6),X0) | ~member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X4),X5),transitive_trancl(X1,X0)) | X2 != X6 | X3 != X4)) & (? [X7 : X1,X8 : X1,X9 : X1] : (member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X8),X9),X0) & member(product_prod(X1,X1),aa(X1,product_prod(X1,X1),aa(X1,fun(X1,product_prod(X1,X1)),product_Pair(X1,X1),X7),X8),transitive_trancl(X1,X0)) & X2 = X9 & X3 = X7) | ~sP2452(X1,X0,X2,X3)))),
% 58.08/9.46 inference(rectify,[],[f45241])).
% 58.08/9.46 tff(f45241,plain,(
% 58.08/9.46 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0] : ((sP2452(X0,X3,X2,X1) | ! [X4 : X0,X5 : X0,X6 : X0] : (~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) | ~member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_trancl(X0,X3)) | X2 != X6 | X1 != X4)) & (? [X4 : X0,X5 : X0,X6 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_trancl(X0,X3)) & X2 = X6 & X1 = X4) | ~sP2452(X0,X3,X2,X1)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37839])).
% 58.08/9.46 tff(f37839,plain,(
% 58.08/9.46 ! [X3 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0] : (sP2452(X0,X3,X2,X1) <=> ? [X4 : X0,X5 : X0,X6 : X0] : (member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X6),X3) & member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X5),transitive_trancl(X0,X3)) & X2 = X6 & X1 = X4))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2452])])).
% 58.08/9.46 tff(f99617,plain,(
% 58.08/9.46 spl5880_3676),
% 58.08/9.46 inference(avatar_split_clause,[],[f63411,f99615])).
% 58.08/9.46 tff(f99615,plain,(
% 58.08/9.46 spl5880_3676 <=> ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : X1] : (sK5489(X1,X0,X2,X3) = X3 | ~sP2452(X1,X0,X2,X3))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3676])])).
% 58.08/9.46 tff(f63411,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : set(product_prod(X1,X1))] : (sK5489(X1,X0,X2,X3) = X3 | ~sP2452(X1,X0,X2,X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45244])).
% 58.08/9.46 tff(f99613,plain,(
% 58.08/9.46 spl5880_3675),
% 58.08/9.46 inference(avatar_split_clause,[],[f63348,f99611])).
% 58.08/9.46 tff(f99611,plain,(
% 58.08/9.46 spl5880_3675 <=> ! [X0 : $tType,X3 : list(X0),X2 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP2451(X0,X1,X3,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3675])])).
% 58.08/9.46 tff(f63348,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP2451(X0,X1,X3,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45191])).
% 58.08/9.46 tff(f45191,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0),X3 : list(X0)] : ((sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP2451(X0,X1,X3,X2)) & (sP2451(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3))))),
% 58.08/9.46 inference(nnf_transformation,[],[f37838])).
% 58.08/9.46 tff(f37838,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> sP2451(X0,X1,X3,X2))),
% 58.08/9.46 inference(definition_folding,[],[f36335,f37837])).
% 58.08/9.46 tff(f37837,plain,(
% 58.08/9.46 ! [X1 : fun(X0,fun(X0,$o)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP2451(X0,X1,X3,X2) <=> (! [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2451])])).
% 58.08/9.46 tff(f36335,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> (! [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 58.08/9.46 inference(ennf_transformation,[],[f19323])).
% 58.08/9.46 tff(f19323,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> (! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ! [X5 : X0] : (member(X0,X5,aa(list(X0),set(X0),set2(X0),X3)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 58.08/9.46 inference(fool_elimination,[],[f19322])).
% 58.08/9.46 tff(f19322,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> (! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ! [X5 : X0] : (member(X0,X5,aa(list(X0),set(X0),set2(X0),X3)) => aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 58.08/9.46 inference(rectify,[],[f8046])).
% 58.08/9.46 tff(f8046,axiom,(
% 58.08/9.46 ! [X0 : $tType,X26 : fun(X0,fun(X0,$o)),X64 : list(X0),X127 : list(X0)] : (sorted_wrt(X0,X26,append(X0,X64,X127)) <=> (! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X64)) => ! [X210 : X0] : (member(X0,X210,aa(list(X0),set(X0),set2(X0),X127)) => aa(X0,$o,aa(X0,fun(X0,$o),X26,X65),X210))) & sorted_wrt(X0,X26,X127) & sorted_wrt(X0,X26,X64)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8045_sorted__wrt__append)).
% 58.08/9.46 tff(f99609,plain,(
% 58.08/9.46 spl5880_3674),
% 58.08/9.46 inference(avatar_split_clause,[],[f63347,f99607])).
% 58.08/9.46 tff(f99607,plain,(
% 58.08/9.46 spl5880_3674 <=> ! [X0 : $tType,X3 : list(X0),X2 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sP2451(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3)))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3674])])).
% 58.08/9.46 tff(f63347,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,fun(X0,$o))] : (sP2451(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f45191])).
% 58.08/9.46 tff(f99605,plain,(
% 58.08/9.46 spl5880_3673),
% 58.08/9.46 inference(avatar_split_clause,[],[f63085,f99603])).
% 58.08/9.46 tff(f99603,plain,(
% 58.08/9.46 spl5880_3673 <=> ! [X0 : $tType,X3 : set(X0),X2 : X0,X1 : set(set(X0))] : (sP2420(X0,X1,X2,X3) | member(X0,X2,sK5386(X0,X1,X2)))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3673])])).
% 58.08/9.46 tff(f63085,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : set(set(X0))] : (sP2420(X0,X1,X2,X3) | member(X0,X2,sK5386(X0,X1,X2))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44952])).
% 58.08/9.46 tff(f99601,plain,(
% 58.08/9.46 spl5880_3672),
% 58.08/9.46 inference(avatar_split_clause,[],[f63048,f99599])).
% 58.08/9.46 tff(f99599,plain,(
% 58.08/9.46 spl5880_3672 <=> ! [X3 : $tType,X0 : $o,X2 : fun(X3,fun(X3,$o)),X1 : list(X3)] : (($true = X0) | sorted_wrt(X3,X2,X1) | ~sP2415(X3,X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3672])])).
% 58.08/9.46 tff(f63048,plain,(
% 58.08/9.46 ( ! [X3 : $tType,X2 : fun(X3,fun(X3,$o)),X0 : $o,X1 : list(X3)] : (($true = X0) | sorted_wrt(X3,X2,X1) | ~sP2415(X3,X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44911])).
% 58.08/9.46 tff(f44911,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : list(X3),X2 : fun(X3,fun(X3,$o)),X3 : $tType] : (((($true != X0) | ~sorted_wrt(X3,X2,X1)) & (($true = X0) | sorted_wrt(X3,X2,X1))) | ~sP2415(X3,X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f44910])).
% 58.08/9.46 tff(f44910,plain,(
% 58.08/9.46 ! [X3 : $o,X2 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType] : (((($true != X3) | ~sorted_wrt(X0,X1,X2)) & (($true = X3) | sorted_wrt(X0,X1,X2))) | ~sP2415(X0,X3,X2,X1))),
% 58.08/9.46 inference(nnf_transformation,[],[f37782])).
% 58.08/9.46 tff(f37782,plain,(
% 58.08/9.46 ! [X3 : $o,X2 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType] : ((sorted_wrt(X0,X1,X2) <~> ($true = X3)) | ~sP2415(X0,X3,X2,X1))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2415])])).
% 58.08/9.46 tff(f99597,plain,(
% 58.08/9.46 spl5880_3671),
% 58.08/9.46 inference(avatar_split_clause,[],[f62610,f99595])).
% 58.08/9.46 tff(f99595,plain,(
% 58.08/9.46 spl5880_3671 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : aa(X0,X1,aTP_Lamp_aez(X1,fun(X0,X1),X2),X3) = X2),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3671])])).
% 58.08/9.46 tff(f62610,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_aez(X1,fun(X0,X1),X2),X3) = X2) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26706])).
% 58.08/9.46 tff(f26706,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_aez(X1,fun(X0,X1),X2),X3) = X2),
% 58.08/9.46 inference(rectify,[],[f9021])).
% 58.08/9.46 tff(f9021,axiom,(
% 58.08/9.46 ! [X1 : $tType,X0 : $tType,X105 : X0,X448 : X1] : aa(X1,X0,aTP_Lamp_aez(X0,fun(X1,X0),X105),X448) = X105),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9020_ATP_Olambda__840)).
% 58.08/9.46 tff(f99593,plain,(
% 58.08/9.46 spl5880_3670),
% 58.08/9.46 inference(avatar_split_clause,[],[f62087,f99591])).
% 58.08/9.46 tff(f99591,plain,(
% 58.08/9.46 spl5880_3670 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(X2),X0)) | ~sP2385(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3670])])).
% 58.08/9.46 tff(f62087,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(X2),X0)) | ~sP2385(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44402])).
% 58.08/9.46 tff(f99589,plain,(
% 58.08/9.46 spl5880_3669),
% 58.08/9.46 inference(avatar_split_clause,[],[f62079,f99587])).
% 58.08/9.46 tff(f99587,plain,(
% 58.08/9.46 spl5880_3669 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(X2),X0)) | ~sP2384(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3669])])).
% 58.08/9.46 tff(f62079,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(X2),X0)) | ~sP2384(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44396])).
% 58.08/9.46 tff(f99585,plain,(
% 58.08/9.46 spl5880_3668),
% 58.08/9.46 inference(avatar_split_clause,[],[f61713,f99583])).
% 58.08/9.46 tff(f61713,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5154(X0,X1))) | ~sP2371(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44237])).
% 58.08/9.46 tff(f99581,plain,(
% 58.08/9.46 spl5880_3667),
% 58.08/9.46 inference(avatar_split_clause,[],[f61605,f99579])).
% 58.08/9.46 tff(f99579,plain,(
% 58.08/9.46 spl5880_3667 <=> ! [X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,sK5116(X0,X1))) | ~sP2364(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3667])])).
% 58.08/9.46 tff(f61605,plain,(
% 58.08/9.46 ( ! [X0 : fun(int,$o),X1 : int] : (($true = aa(int,$o,X0,sK5116(X0,X1))) | ~sP2364(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44156])).
% 58.08/9.46 tff(f44156,plain,(
% 58.08/9.46 ! [X0 : fun(int,$o),X1 : int] : ((($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5116(X0,X1)),one_one(int)))) & ($true = aa(int,$o,X0,sK5116(X0,X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),sK5116(X0,X1)))) | ~sP2364(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5116])],[f44154,f44155])).
% 58.08/9.46 tff(f44155,plain,(
% 58.08/9.46 ! [X0 : fun(int,$o),X1 : int] : (? [X2 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),one_one(int)))) & ($true = aa(int,$o,X0,X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X2))) => (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK5116(X0,X1)),one_one(int)))) & ($true = aa(int,$o,X0,sK5116(X0,X1))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),sK5116(X0,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f44154,plain,(
% 58.08/9.46 ! [X0 : fun(int,$o),X1 : int] : (? [X2 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),one_one(int)))) & ($true = aa(int,$o,X0,X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X2))) | ~sP2364(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f44153])).
% 58.08/9.46 tff(f44153,plain,(
% 58.08/9.46 ! [X0 : fun(int,$o),X1 : int] : (? [X3 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)))) & ($true = aa(int,$o,X0,X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X3))) | ~sP2364(X0,X1))),
% 58.08/9.46 inference(nnf_transformation,[],[f37695])).
% 58.08/9.46 tff(f37695,plain,(
% 58.08/9.46 ! [X0 : fun(int,$o),X1 : int] : (? [X3 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)))) & ($true = aa(int,$o,X0,X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X3))) | ~sP2364(X0,X1))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2364])])).
% 58.08/9.46 tff(f99577,plain,(
% 58.08/9.46 spl5880_3666),
% 58.08/9.46 inference(avatar_split_clause,[],[f61541,f99575])).
% 58.08/9.46 tff(f61541,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true != aa(nat,$o,X0,sK5061(X0,X1))) | ~sP2360(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44072])).
% 58.08/9.46 tff(f44072,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((($true != aa(nat,$o,X0,sK5061(X0,X1))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5061(X0,X1)),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5061(X0,X1)),X1))) | ~sP2360(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5061])],[f44070,f44071])).
% 58.08/9.46 tff(f44071,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) => (($true != aa(nat,$o,X0,sK5061(X0,X1))) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5061(X0,X1)),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK5061(X0,X1)),X1))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f44070,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) | ~sP2360(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f44069])).
% 58.08/9.46 tff(f44069,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (? [X4 : nat] : (($true != aa(nat,$o,X1,X4)) & ! [X5 : nat] : (($true = aa(nat,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0))) | ~sP2360(X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37687])).
% 58.08/9.46 tff(f37687,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (? [X4 : nat] : (($true != aa(nat,$o,X1,X4)) & ! [X5 : nat] : (($true = aa(nat,$o,X1,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X0))) | ~sP2360(X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2360])])).
% 58.08/9.46 tff(f99573,plain,(
% 58.08/9.46 spl5880_3665),
% 58.08/9.46 inference(avatar_split_clause,[],[f61422,f99571])).
% 58.08/9.46 tff(f99571,plain,(
% 58.08/9.46 spl5880_3665 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1492(sK4976(X1)),bG1493(sK4977(X1))) = X1 | ~sP2344(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3665])])).
% 58.08/9.46 tff(f61422,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1492(sK4976(X1)),bG1493(sK4977(X1))) = X1 | ~sP2344(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43935])).
% 58.08/9.46 tff(f43935,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & vEBT_Leaf(bG1492(sK4976(X1)),bG1493(sK4977(X1))) = X1) | ~sP2344(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4976,sK4977])],[f43933,f43934])).
% 58.08/9.46 tff(f43934,plain,(
% 58.08/9.46 ! [X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1492(X2),bG1493(X3)) = X1 => vEBT_Leaf(bG1492(sK4976(X1)),bG1493(sK4977(X1))) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43933,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1492(X2),bG1493(X3)) = X1) | ~sP2344(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f43932])).
% 58.08/9.46 tff(f43932,plain,(
% 58.08/9.46 ! [X2 : $o,X0 : vEBT_VEBT] : ((($true != X2) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1492(X3),bG1493(X4)) = X0) | ~sP2344(X2,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37666])).
% 58.08/9.46 tff(f37666,plain,(
% 58.08/9.46 ! [X2 : $o,X0 : vEBT_VEBT] : ((($true != X2) & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1492(X3),bG1493(X4)) = X0) | ~sP2344(X2,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2344])])).
% 58.08/9.46 tff(f99569,plain,(
% 58.08/9.46 spl5880_3664),
% 58.08/9.46 inference(avatar_split_clause,[],[f61213,f99567])).
% 58.08/9.46 tff(f99567,plain,(
% 58.08/9.46 spl5880_3664 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4907(X1)) = X1 | ~sP2302(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3664])])).
% 58.08/9.46 tff(f61213,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4907(X1)) = X1 | ~sP2302(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43766])).
% 58.08/9.46 tff(f43766,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & aa(num,num,bit0,sK4907(X1)) = X1 & one2 = X2) | ~sP2302(X0,X1,X2))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4907])],[f43764,f43765])).
% 58.08/9.46 tff(f43765,plain,(
% 58.08/9.46 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X1 => aa(num,num,bit0,sK4907(X1)) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43764,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X2) | ~sP2302(X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f43763])).
% 58.08/9.46 tff(f43763,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP2302(X2,X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37616])).
% 58.08/9.46 tff(f37616,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP2302(X2,X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2302])])).
% 58.08/9.46 tff(f99565,plain,(
% 58.08/9.46 spl5880_3663),
% 58.08/9.46 inference(avatar_split_clause,[],[f61210,f99563])).
% 58.08/9.46 tff(f99563,plain,(
% 58.08/9.46 spl5880_3663 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4906(X1)) = X1 | ~sP2303(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3663])])).
% 58.08/9.46 tff(f61210,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4906(X1)) = X1 | ~sP2303(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43762])).
% 58.08/9.46 tff(f99561,plain,(
% 58.08/9.46 spl5880_3662),
% 58.08/9.46 inference(avatar_split_clause,[],[f61206,f99559])).
% 58.08/9.46 tff(f99559,plain,(
% 58.08/9.46 spl5880_3662 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4905(X2)) = X2 | ~sP2304(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3662])])).
% 58.08/9.46 tff(f61206,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4905(X2)) = X2 | ~sP2304(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43758])).
% 58.08/9.46 tff(f43758,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK4905(X2)) = X2) | ~sP2304(X0,X1,X2))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4905])],[f43756,f43757])).
% 58.08/9.46 tff(f43757,plain,(
% 58.08/9.46 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X2 => aa(num,num,bit0,sK4905(X2)) = X2)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43756,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit0,X3) = X2) | ~sP2304(X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f43755])).
% 58.08/9.46 tff(f43755,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP2304(X2,X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37618])).
% 58.08/9.46 tff(f37618,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP2304(X2,X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2304])])).
% 58.08/9.46 tff(f99557,plain,(
% 58.08/9.46 spl5880_3661),
% 58.08/9.46 inference(avatar_split_clause,[],[f61197,f99555])).
% 58.08/9.46 tff(f99555,plain,(
% 58.08/9.46 spl5880_3661 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4900(X2)) = X2 | ~sP2307(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3661])])).
% 58.08/9.46 tff(f61197,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4900(X2)) = X2 | ~sP2307(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43744])).
% 58.08/9.46 tff(f99553,plain,(
% 58.08/9.46 spl5880_3660),
% 58.08/9.46 inference(avatar_split_clause,[],[f61049,f99551])).
% 58.08/9.46 tff(f99551,plain,(
% 58.08/9.46 spl5880_3660 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4843(X1)) = X1 | ~sP2277(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3660])])).
% 58.08/9.46 tff(f61049,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit0,sK4843(X1)) = X1 | ~sP2277(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43606])).
% 58.08/9.46 tff(f99549,plain,(
% 58.08/9.46 spl5880_3659),
% 58.08/9.46 inference(avatar_split_clause,[],[f61046,f99547])).
% 58.08/9.46 tff(f99547,plain,(
% 58.08/9.46 spl5880_3659 <=> ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4842(X1)) = X1 | ~sP2278(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3659])])).
% 58.08/9.46 tff(f61046,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : option(num),X1 : num] : (aa(num,num,bit1,sK4842(X1)) = X1 | ~sP2278(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43602])).
% 58.08/9.46 tff(f43602,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & aa(num,num,bit1,sK4842(X1)) = X1 & one2 = X2) | ~sP2278(X0,X1,X2))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4842])],[f43600,f43601])).
% 58.08/9.46 tff(f43601,plain,(
% 58.08/9.46 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X1 => aa(num,num,bit1,sK4842(X1)) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43600,plain,(
% 58.08/9.46 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & ? [X3 : num] : aa(num,num,bit1,X3) = X1 & one2 = X2) | ~sP2278(X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f43599])).
% 58.08/9.46 tff(f43599,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP2278(X2,X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37588])).
% 58.08/9.46 tff(f37588,plain,(
% 58.08/9.46 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP2278(X2,X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2278])])).
% 58.08/9.46 tff(f99545,plain,(
% 58.08/9.46 spl5880_3658),
% 58.08/9.46 inference(avatar_split_clause,[],[f61021,f99543])).
% 58.08/9.46 tff(f99543,plain,(
% 58.08/9.46 spl5880_3658 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1431(sK4825(X0,X1,X2)) = X0 | ~sP2271(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3658])])).
% 58.08/9.46 tff(f61021,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1431(sK4825(X0,X1,X2)) = X0 | ~sP2271(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43568])).
% 58.08/9.46 tff(f99541,plain,(
% 58.08/9.46 spl5880_3657),
% 58.08/9.46 inference(avatar_split_clause,[],[f61001,f99539])).
% 58.08/9.46 tff(f99539,plain,(
% 58.08/9.46 spl5880_3657 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1410(sK4807(X0,X1,X2)) = X0 | ~sP2265(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3657])])).
% 58.08/9.46 tff(f61001,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1410(sK4807(X0,X1,X2)) = X0 | ~sP2265(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43544])).
% 58.08/9.46 tff(f99537,plain,(
% 58.08/9.46 spl5880_3656),
% 58.08/9.46 inference(avatar_split_clause,[],[f60981,f99535])).
% 58.08/9.46 tff(f99535,plain,(
% 58.08/9.46 spl5880_3656 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1397(sK4785(X0,X1,X2)) = X0 | ~sP2261(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3656])])).
% 58.08/9.46 tff(f60981,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1397(sK4785(X0,X1,X2)) = X0 | ~sP2261(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43519])).
% 58.08/9.46 tff(f99533,plain,(
% 58.08/9.46 spl5880_3655),
% 58.08/9.46 inference(avatar_split_clause,[],[f60977,f99531])).
% 58.08/9.46 tff(f99531,plain,(
% 58.08/9.46 spl5880_3655 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,sK4781(X1)) = X1 | ~sP2262(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3655])])).
% 58.08/9.46 tff(f60977,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,sK4781(X1)) = X1 | ~sP2262(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43515])).
% 58.08/9.46 tff(f99529,plain,(
% 58.08/9.46 spl5880_3654),
% 58.08/9.46 inference(avatar_split_clause,[],[f60964,f99527])).
% 58.08/9.46 tff(f99527,plain,(
% 58.08/9.46 spl5880_3654 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1381(sK4763(X0,X1,X2)) = X0 | ~sP2257(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3654])])).
% 58.08/9.46 tff(f60964,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1381(sK4763(X0,X1,X2)) = X0 | ~sP2257(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43494])).
% 58.08/9.46 tff(f99525,plain,(
% 58.08/9.46 spl5880_3653),
% 58.08/9.46 inference(avatar_split_clause,[],[f60858,f99523])).
% 58.08/9.46 tff(f99523,plain,(
% 58.08/9.46 spl5880_3653 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4691(X2)) = X2 | ~sP2232(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3653])])).
% 58.08/9.46 tff(f60858,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,sK4691(X2)) = X2 | ~sP2232(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43371])).
% 58.08/9.46 tff(f43371,plain,(
% 58.08/9.46 ! [X0 : num,X1 : num,X2 : num] : ((aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK4691(X2)) = X2) | ~sP2232(X0,X1,X2))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4691])],[f43369,f43370])).
% 58.08/9.46 tff(f43370,plain,(
% 58.08/9.46 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X2 => aa(num,num,bit0,sK4691(X2)) = X2)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43369,plain,(
% 58.08/9.46 ! [X0 : num,X1 : num,X2 : num] : ((aa(num,num,bit0,one2) = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit0,X3) = X2) | ~sP2232(X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f43368])).
% 58.08/9.46 tff(f43368,plain,(
% 58.08/9.46 ! [X2 : num,X1 : num,X0 : num] : ((aa(num,num,bit0,one2) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP2232(X2,X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37534])).
% 58.08/9.46 tff(f37534,plain,(
% 58.08/9.46 ! [X2 : num,X1 : num,X0 : num] : ((aa(num,num,bit0,one2) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP2232(X2,X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2232])])).
% 58.08/9.46 tff(f99521,plain,(
% 58.08/9.46 spl5880_3652),
% 58.08/9.46 inference(avatar_split_clause,[],[f60849,f99519])).
% 58.08/9.46 tff(f99519,plain,(
% 58.08/9.46 spl5880_3652 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4686(X2)) = X2 | ~sP2235(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3652])])).
% 58.08/9.46 tff(f60849,plain,(
% 58.08/9.46 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit1,sK4686(X2)) = X2 | ~sP2235(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43357])).
% 58.08/9.46 tff(f43357,plain,(
% 58.08/9.46 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & aa(num,num,bit1,sK4686(X2)) = X2) | ~sP2235(X0,X1,X2))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4686])],[f43355,f43356])).
% 58.08/9.46 tff(f43356,plain,(
% 58.08/9.46 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X2 => aa(num,num,bit1,sK4686(X2)) = X2)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43355,plain,(
% 58.08/9.46 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit1,X3) = X2) | ~sP2235(X0,X1,X2))),
% 58.08/9.46 inference(rectify,[],[f43354])).
% 58.08/9.46 tff(f43354,plain,(
% 58.08/9.46 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP2235(X2,X1,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37537])).
% 58.08/9.46 tff(f37537,plain,(
% 58.08/9.46 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP2235(X2,X1,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2235])])).
% 58.08/9.46 tff(f99517,plain,(
% 58.08/9.46 spl5880_3651),
% 58.08/9.46 inference(avatar_split_clause,[],[f60609,f99515])).
% 58.08/9.46 tff(f99515,plain,(
% 58.08/9.46 spl5880_3651 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4423(X1)) = X1 | ~sP2165(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3651])])).
% 58.08/9.46 tff(f60609,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4423(X1)) = X1 | ~sP2165(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43044])).
% 58.08/9.46 tff(f99513,plain,(
% 58.08/9.46 spl5880_3650),
% 58.08/9.46 inference(avatar_split_clause,[],[f60595,f99511])).
% 58.08/9.46 tff(f99511,plain,(
% 58.08/9.46 spl5880_3650 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4404(X1)) = X1 | ~sP2161(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3650])])).
% 58.08/9.46 tff(f60595,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,sK4404(X1)) = X1 | ~sP2161(X0,X1,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43023])).
% 58.08/9.46 tff(f99509,plain,(
% 58.08/9.46 spl5880_3649),
% 58.08/9.46 inference(avatar_split_clause,[],[f60584,f99507])).
% 58.08/9.46 tff(f99507,plain,(
% 58.08/9.46 spl5880_3649 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1087(sK4388(X1)),bG1088(sK4389(X1))) = X1 | ~sP2157(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3649])])).
% 58.08/9.46 tff(f60584,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1087(sK4388(X1)),bG1088(sK4389(X1))) = X1 | ~sP2157(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f43006])).
% 58.08/9.46 tff(f43006,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Leaf(bG1087(sK4388(X1)),bG1088(sK4389(X1))) = X1) | ~sP2157(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4388,sK4389])],[f43004,f43005])).
% 58.08/9.46 tff(f43005,plain,(
% 58.08/9.46 ! [X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1087(X2),bG1088(X3)) = X1 => vEBT_Leaf(bG1087(sK4388(X1)),bG1088(sK4389(X1))) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f43004,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1087(X2),bG1088(X3)) = X1) | ~sP2157(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f43003])).
% 58.08/9.46 tff(f43003,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1087(X3),bG1088(X4)) = X0) | ~sP2157(X2,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37443])).
% 58.08/9.46 tff(f37443,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1087(X3),bG1088(X4)) = X0) | ~sP2157(X2,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2157])])).
% 58.08/9.46 tff(f99505,plain,(
% 58.08/9.46 spl5880_3648),
% 58.08/9.46 inference(avatar_split_clause,[],[f60534,f99503])).
% 58.08/9.46 tff(f99503,plain,(
% 58.08/9.46 spl5880_3648 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1047(sK4324(X1)),bG1048(sK4325(X1))) = X1 | ~sP2143(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3648])])).
% 58.08/9.46 tff(f60534,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG1047(sK4324(X1)),bG1048(sK4325(X1))) = X1 | ~sP2143(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42934])).
% 58.08/9.46 tff(f42934,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Leaf(bG1047(sK4324(X1)),bG1048(sK4325(X1))) = X1) | ~sP2143(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4324,sK4325])],[f42932,f42933])).
% 58.08/9.46 tff(f42933,plain,(
% 58.08/9.46 ! [X1 : vEBT_VEBT] : (? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1047(X2),bG1048(X3)) = X1 => vEBT_Leaf(bG1047(sK4324(X1)),bG1048(sK4325(X1))) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42932,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : $o,X3 : $o] : vEBT_Leaf(bG1047(X2),bG1048(X3)) = X1) | ~sP2143(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f42931])).
% 58.08/9.46 tff(f42931,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1047(X3),bG1048(X4)) = X0) | ~sP2143(X2,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37425])).
% 58.08/9.46 tff(f37425,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X3 : $o,X4 : $o] : vEBT_Leaf(bG1047(X3),bG1048(X4)) = X0) | ~sP2143(X2,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2143])])).
% 58.08/9.46 tff(f99501,plain,(
% 58.08/9.46 spl5880_3647),
% 58.08/9.46 inference(avatar_split_clause,[],[f59970,f99499])).
% 58.08/9.46 tff(f99499,plain,(
% 58.08/9.46 spl5880_3647 <=> ! [X0 : $tType,X1 : nat] : aa(list(X0),nat,size_size(list(X0)),sK4231(X0,X1)) = X1),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3647])])).
% 58.08/9.46 tff(f59970,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),sK4231(X0,X1)) = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42746])).
% 58.08/9.46 tff(f42746,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : nat] : aa(list(X0),nat,size_size(list(X0)),sK4231(X0,X1)) = X1),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4231])],[f26278,f42745])).
% 58.08/9.46 tff(f42745,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : nat] : (? [X2 : list(X0)] : aa(list(X0),nat,size_size(list(X0)),X2) = X1 => aa(list(X0),nat,size_size(list(X0)),sK4231(X0,X1)) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f26278,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : nat] : ? [X2 : list(X0)] : aa(list(X0),nat,size_size(list(X0)),X2) = X1),
% 58.08/9.46 inference(rectify,[],[f737])).
% 58.08/9.46 tff(f737,axiom,(
% 58.08/9.46 ! [X0 : $tType,X8 : nat] : ? [X126 : list(X0)] : aa(list(X0),nat,size_size(list(X0)),X126) = X8),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_736_Ex__list__of__length)).
% 58.08/9.46 tff(f99497,plain,(
% 58.08/9.46 spl5880_3646),
% 58.08/9.46 inference(avatar_split_clause,[],[f59679,f99495])).
% 58.08/9.46 tff(f99495,plain,(
% 58.08/9.46 spl5880_3646 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK4215(X0,X1))) | ~sP2120(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3646])])).
% 58.08/9.46 tff(f59679,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK4215(X0,X1))) | ~sP2120(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42605])).
% 58.08/9.46 tff(f42605,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2120(X0,X1) | ! [X2 : nat] : (($true != aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & ((($true = aa(nat,$o,X0,sK4215(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4215(X0,X1)),aa(nat,nat,suc,X1)))) | ~sP2120(X0,X1)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4215])],[f42603,f42604])).
% 58.08/9.46 tff(f42604,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) => (($true = aa(nat,$o,X0,sK4215(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4215(X0,X1)),aa(nat,nat,suc,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42603,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2120(X0,X1) | ! [X2 : nat] : (($true != aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2120(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42602])).
% 58.08/9.46 tff(f42602,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : ((sP2120(X1,X0) | ! [X2 : nat] : (($true != aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP2120(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37390])).
% 58.08/9.46 tff(f37390,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (sP2120(X1,X0) <=> ? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2120])])).
% 58.08/9.46 tff(f99493,plain,(
% 58.08/9.46 spl5880_3645),
% 58.08/9.46 inference(avatar_split_clause,[],[f59672,f99491])).
% 58.08/9.46 tff(f99491,plain,(
% 58.08/9.46 spl5880_3645 <=> ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK4213(X0,X1))) | ~sP2119(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3645])])).
% 58.08/9.46 tff(f59672,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (($true = aa(nat,$o,X0,sK4213(X0,X1))) | ~sP2119(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42596])).
% 58.08/9.46 tff(f42596,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2119(X0,X1) | ! [X2 : nat] : (($true != aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & ((($true = aa(nat,$o,X0,sK4213(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4213(X0,X1)),aa(nat,nat,suc,X1)))) | ~sP2119(X0,X1)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4213])],[f42594,f42595])).
% 58.08/9.46 tff(f42595,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) => (($true = aa(nat,$o,X0,sK4213(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4213(X0,X1)),aa(nat,nat,suc,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42594,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2119(X0,X1) | ! [X2 : nat] : (($true != aa(nat,$o,X0,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (? [X3 : nat] : (($true = aa(nat,$o,X0,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2119(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42593])).
% 58.08/9.46 tff(f42593,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : ((sP2119(X1,X0) | ! [X2 : nat] : (($true != aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP2119(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37388])).
% 58.08/9.46 tff(f37388,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (sP2119(X1,X0) <=> ? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2119])])).
% 58.08/9.46 tff(f99489,plain,(
% 58.08/9.46 spl5880_3644),
% 58.08/9.46 inference(avatar_split_clause,[],[f59655,f99487])).
% 58.08/9.46 tff(f59655,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2118(X0,X1) | ($true != aa(nat,$o,X0,sK4205(X0,X1)))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42571])).
% 58.08/9.46 tff(f42571,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2118(X0,X1) | (($true != aa(nat,$o,X0,sK4205(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4205(X0,X1)),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2118(X0,X1)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4205])],[f42569,f42570])).
% 58.08/9.46 tff(f42570,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1)))) => (($true != aa(nat,$o,X0,sK4205(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4205(X0,X1)),aa(nat,nat,suc,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42569,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2118(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2118(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42568])).
% 58.08/9.46 tff(f42568,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : ((sP2118(X1,X0) | ? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP2118(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37386])).
% 58.08/9.46 tff(f37386,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (sP2118(X1,X0) <=> ! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2118])])).
% 58.08/9.46 tff(f99485,plain,(
% 58.08/9.46 spl5880_3643),
% 58.08/9.46 inference(avatar_split_clause,[],[f59648,f99483])).
% 58.08/9.46 tff(f59648,plain,(
% 58.08/9.46 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2117(X0,X1) | ($true != aa(nat,$o,X0,sK4203(X0,X1)))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42562])).
% 58.08/9.46 tff(f42562,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2117(X0,X1) | (($true != aa(nat,$o,X0,sK4203(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4203(X0,X1)),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2117(X0,X1)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4203])],[f42560,f42561])).
% 58.08/9.46 tff(f42561,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1)))) => (($true != aa(nat,$o,X0,sK4203(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4203(X0,X1)),aa(nat,nat,suc,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42560,plain,(
% 58.08/9.46 ! [X0 : fun(nat,$o),X1 : nat] : ((sP2117(X0,X1) | ? [X2 : nat] : (($true != aa(nat,$o,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (($true = aa(nat,$o,X0,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP2117(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42559])).
% 58.08/9.46 tff(f42559,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : ((sP2117(X1,X0) | ? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP2117(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37384])).
% 58.08/9.46 tff(f37384,plain,(
% 58.08/9.46 ! [X1 : fun(nat,$o),X0 : nat] : (sP2117(X1,X0) <=> ! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2117])])).
% 58.08/9.46 tff(f99481,plain,(
% 58.08/9.46 spl5880_3642),
% 58.08/9.46 inference(avatar_split_clause,[],[f59404,f99479])).
% 58.08/9.46 tff(f99479,plain,(
% 58.08/9.46 spl5880_3642 <=> ! [X1 : $tType,X0 : list(list(X1))] : (distinct(list(X1),removeAll(list(X1),nil(X1),X0)) | ~sP2110(X1,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3642])])).
% 58.08/9.46 tff(f59404,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X0 : list(list(X1))] : (distinct(list(X1),removeAll(list(X1),nil(X1),X0)) | ~sP2110(X1,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42400])).
% 58.08/9.46 tff(f42400,plain,(
% 58.08/9.46 ! [X0 : list(list(X1)),X1 : $tType] : ((sP2110(X1,X0) | ~sP2109(X1,X0) | (~distinct(X1,sK4182(X1,X0)) & member(list(X1),sK4182(X1,X0),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))) | ~distinct(list(X1),removeAll(list(X1),nil(X1),X0))) & ((sP2109(X1,X0) & ! [X3 : list(X1)] : (distinct(X1,X3) | ~member(list(X1),X3,aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))) & distinct(list(X1),removeAll(list(X1),nil(X1),X0))) | ~sP2110(X1,X0)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4182])],[f42398,f42399])).
% 58.08/9.46 tff(f42399,plain,(
% 58.08/9.46 ! [X1 : $tType,X0 : list(list(X1))] : (? [X2 : list(X1)] : (~distinct(X1,X2) & member(list(X1),X2,aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))) => (~distinct(X1,sK4182(X1,X0)) & member(list(X1),sK4182(X1,X0),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42398,plain,(
% 58.08/9.46 ! [X0 : list(list(X1)),X1 : $tType] : ((sP2110(X1,X0) | ~sP2109(X1,X0) | ? [X2 : list(X1)] : (~distinct(X1,X2) & member(list(X1),X2,aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))) | ~distinct(list(X1),removeAll(list(X1),nil(X1),X0))) & ((sP2109(X1,X0) & ! [X3 : list(X1)] : (distinct(X1,X3) | ~member(list(X1),X3,aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0))) & distinct(list(X1),removeAll(list(X1),nil(X1),X0))) | ~sP2110(X1,X0)))),
% 58.08/9.46 inference(rectify,[],[f42397])).
% 58.08/9.46 tff(f42397,plain,(
% 58.08/9.46 ! [X1 : list(list(X0)),X0 : $tType] : ((sP2110(X0,X1) | ~sP2109(X0,X1) | ? [X4 : list(X0)] : (~distinct(X0,X4) & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~distinct(list(X0),removeAll(list(X0),nil(X0),X1))) & ((sP2109(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))) | ~sP2110(X0,X1)))),
% 58.08/9.46 inference(flattening,[],[f42396])).
% 58.08/9.46 tff(f42396,plain,(
% 58.08/9.46 ! [X1 : list(list(X0)),X0 : $tType] : ((sP2110(X0,X1) | (~sP2109(X0,X1) | ? [X4 : list(X0)] : (~distinct(X0,X4) & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~distinct(list(X0),removeAll(list(X0),nil(X0),X1)))) & ((sP2109(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))) | ~sP2110(X0,X1)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37370])).
% 58.08/9.46 tff(f37370,plain,(
% 58.08/9.46 ! [X1 : list(list(X0)),X0 : $tType] : (sP2110(X0,X1) <=> (sP2109(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2110])])).
% 58.08/9.46 tff(f99477,plain,(
% 58.08/9.46 spl5880_3641),
% 58.08/9.46 inference(avatar_split_clause,[],[f59272,f99475])).
% 58.08/9.46 tff(f99475,plain,(
% 58.08/9.46 spl5880_3641 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK4132(X0,X1),top_top(set(nat))) | finite_finite(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3641])])).
% 58.08/9.46 tff(f59272,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK4132(X0,X1),top_top(set(nat))) | finite_finite(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42287])).
% 58.08/9.46 tff(f42287,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : ((~finite_finite(X0,X1) | ! [X2 : fun(nat,X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,sK4132(X0,X1)),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK4132(X0,X1),top_top(set(nat)))) | finite_finite(X0,X1)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4132])],[f42285,f42286])).
% 58.08/9.46 tff(f42286,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (? [X3 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X3),top_top(set(nat)))),X1)) & inj_on(nat,X0,X3,top_top(set(nat)))) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,sK4132(X0,X1)),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK4132(X0,X1),top_top(set(nat)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42285,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : ((~finite_finite(X0,X1) | ! [X2 : fun(nat,X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & (? [X3 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X3),top_top(set(nat)))),X1)) & inj_on(nat,X0,X3,top_top(set(nat)))) | finite_finite(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42284])).
% 58.08/9.46 tff(f42284,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : ((~finite_finite(X0,X1) | ! [X2 : fun(nat,X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & (? [X2 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) | finite_finite(X0,X1)))),
% 58.08/9.46 inference(nnf_transformation,[],[f16577])).
% 58.08/9.46 tff(f16577,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) <=> ? [X2 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 58.08/9.46 inference(fool_elimination,[],[f16576])).
% 58.08/9.46 tff(f16576,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) <=> ? [X2 : fun(nat,X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 58.08/9.46 inference(rectify,[],[f6996])).
% 58.08/9.46 tff(f6996,axiom,(
% 58.08/9.46 ! [X0 : $tType,X93 : set(X0)] : (~finite_finite(X0,X93) <=> ? [X278 : fun(nat,X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X278),top_top(set(nat)))),X93) & inj_on(nat,X0,X278,top_top(set(nat)))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6995_infinite__iff__countable__subset)).
% 58.08/9.46 tff(f99473,plain,(
% 58.08/9.46 spl5880_3640),
% 58.08/9.46 inference(avatar_split_clause,[],[f57960,f99471])).
% 58.08/9.46 tff(f99471,plain,(
% 58.08/9.46 spl5880_3640 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK3620(X0,X1),top_top(set(nat))) | finite_finite(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3640])])).
% 58.08/9.46 tff(f57960,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK3620(X0,X1),top_top(set(nat))) | finite_finite(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f41488])).
% 58.08/9.46 tff(f41488,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,sK3620(X0,X1)),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK3620(X0,X1),top_top(set(nat)))) | finite_finite(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3620])],[f33709,f41487])).
% 58.08/9.46 tff(f41487,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,sK3620(X0,X1)),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK3620(X0,X1),top_top(set(nat)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f33709,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) | finite_finite(X0,X1))),
% 58.08/9.46 inference(ennf_transformation,[],[f15352])).
% 58.08/9.46 tff(f15352,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) => ? [X2 : fun(nat,X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 58.08/9.46 inference(fool_elimination,[],[f15351])).
% 58.08/9.46 tff(f15351,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : set(X0)] : (~finite_finite(X0,X1) => ? [X2 : fun(nat,X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X2),top_top(set(nat)))),X1) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 58.08/9.46 inference(rectify,[],[f6997])).
% 58.08/9.46 tff(f6997,axiom,(
% 58.08/9.46 ! [X0 : $tType,X93 : set(X0)] : (~finite_finite(X0,X93) => ? [X118 : fun(nat,X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(nat),set(X0),image(nat,X0,X118),top_top(set(nat)))),X93) & inj_on(nat,X0,X118,top_top(set(nat)))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6996_infinite__countable__subset)).
% 58.08/9.46 tff(f99469,plain,(
% 58.08/9.46 spl5880_3639),
% 58.08/9.46 inference(avatar_split_clause,[],[f57701,f99467])).
% 58.08/9.46 tff(f99467,plain,(
% 58.08/9.46 spl5880_3639 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (one_one(X1) = aa(X0,X1,aTP_Lamp_hr(X0,X1),X2) | ~comm_monoid_mult(X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3639])])).
% 58.08/9.46 tff(f57701,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (one_one(X1) = aa(X0,X1,aTP_Lamp_hr(X0,X1),X2) | ~comm_monoid_mult(X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f33539])).
% 58.08/9.46 tff(f33539,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : one_one(X1) = aa(X0,X1,aTP_Lamp_hr(X0,X1),X2) | ~comm_monoid_mult(X1))),
% 58.08/9.46 inference(ennf_transformation,[],[f25864])).
% 58.08/9.46 tff(f25864,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : X0] : one_one(X1) = aa(X0,X1,aTP_Lamp_hr(X0,X1),X2))),
% 58.08/9.46 inference(rectify,[],[f9032])).
% 58.08/9.46 tff(f9032,axiom,(
% 58.08/9.46 ! [X1 : $tType,X0 : $tType] : (comm_monoid_mult(X0) => ! [X105 : X1] : one_one(X0) = aa(X1,X0,aTP_Lamp_hr(X1,X0),X105))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9031_ATP_Olambda__851)).
% 58.08/9.46 tff(f99465,plain,(
% 58.08/9.46 spl5880_3638),
% 58.08/9.46 inference(avatar_split_clause,[],[f57700,f99463])).
% 58.08/9.46 tff(f99463,plain,(
% 58.08/9.46 spl5880_3638 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : (one_one(X1) = groups1962203154675924110t_prod(X0,X1,X2,bot_bot(set(X0))) | ~comm_monoid_mult(X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3638])])).
% 58.08/9.46 tff(f57700,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : (one_one(X1) = groups1962203154675924110t_prod(X0,X1,X2,bot_bot(set(X0))) | ~comm_monoid_mult(X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f33538])).
% 58.08/9.46 tff(f33538,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1)] : one_one(X1) = groups1962203154675924110t_prod(X0,X1,X2,bot_bot(set(X0))) | ~comm_monoid_mult(X1))),
% 58.08/9.46 inference(ennf_transformation,[],[f25863])).
% 58.08/9.46 tff(f25863,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : fun(X0,X1)] : one_one(X1) = groups1962203154675924110t_prod(X0,X1,X2,bot_bot(set(X0))))),
% 58.08/9.46 inference(rectify,[],[f7124])).
% 58.08/9.46 tff(f7124,axiom,(
% 58.08/9.46 ! [X1 : $tType,X0 : $tType] : (comm_monoid_mult(X0) => ! [X83 : fun(X1,X0)] : one_one(X0) = groups1962203154675924110t_prod(X1,X0,X83,bot_bot(set(X1))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7123_prod_Oempty_H)).
% 58.08/9.46 tff(f99457,plain,(
% 58.08/9.46 spl5880_3637 | ~spl5880_2700 | ~spl5880_3636),
% 58.08/9.46 inference(avatar_split_clause,[],[f99453,f99450,f93598,f99455])).
% 58.08/9.46 tff(f93598,plain,(
% 58.08/9.46 spl5880_2700 <=> ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X0,X1) = iG1451(X1,X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_2700])])).
% 58.08/9.46 tff(f99450,plain,(
% 58.08/9.46 spl5880_3636 <=> ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X0,X1) = gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3636])])).
% 58.08/9.46 tff(f99453,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG1451(X1,X0)) ) | (~spl5880_2700 | ~spl5880_3636)),
% 58.08/9.46 inference(forward_demodulation,[],[f99451,f93599])).
% 58.08/9.46 tff(f93599,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,X1) = iG1451(X1,X0)) ) | ~spl5880_2700),
% 58.08/9.46 inference(avatar_component_clause,[],[f93598])).
% 58.08/9.46 tff(f99451,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,X1) = gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1))) ) | ~spl5880_3636),
% 58.08/9.46 inference(avatar_component_clause,[],[f99450])).
% 58.08/9.46 tff(f99452,plain,(
% 58.08/9.46 spl5880_3636),
% 58.08/9.46 inference(avatar_split_clause,[],[f56719,f99450])).
% 58.08/9.46 tff(f56719,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,X1) = gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f25272])).
% 58.08/9.46 tff(f25272,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X0,X1) = gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1))),
% 58.08/9.46 inference(rectify,[],[f5664])).
% 58.08/9.46 tff(f5664,axiom,(
% 58.08/9.46 ! [X9 : nat,X18 : nat] : gcd_gcd(nat,X9,X18) = gcd_gcd(nat,X18,modulo_modulo(nat,X9,X18))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5663_gcd__red__nat)).
% 58.08/9.46 tff(f99448,plain,(
% 58.08/9.46 spl5880_3635),
% 58.08/9.46 inference(avatar_split_clause,[],[f56718,f99446])).
% 58.08/9.46 tff(f99446,plain,(
% 58.08/9.46 spl5880_3635 <=> ! [X0 : int,X1 : int] : gcd_gcd(int,X0,X1) = gcd_gcd(int,X1,modulo_modulo(int,X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3635])])).
% 58.08/9.46 tff(f56718,plain,(
% 58.08/9.46 ( ! [X0 : int,X1 : int] : (gcd_gcd(int,X0,X1) = gcd_gcd(int,X1,modulo_modulo(int,X0,X1))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f25271])).
% 58.08/9.46 tff(f25271,plain,(
% 58.08/9.46 ! [X0 : int,X1 : int] : gcd_gcd(int,X0,X1) = gcd_gcd(int,X1,modulo_modulo(int,X0,X1))),
% 58.08/9.46 inference(rectify,[],[f5626])).
% 58.08/9.46 tff(f5626,axiom,(
% 58.08/9.46 ! [X9 : int,X18 : int] : gcd_gcd(int,X9,X18) = gcd_gcd(int,X18,modulo_modulo(int,X9,X18))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5625_gcd__red__int)).
% 58.08/9.46 tff(f99444,plain,(
% 58.08/9.46 spl5880_3634),
% 58.08/9.46 inference(avatar_split_clause,[],[f56480,f99442])).
% 58.08/9.46 tff(f99442,plain,(
% 58.08/9.46 spl5880_3634 <=> ! [X0 : real] : (zero_zero(real) = X0 | zero_zero(real) != aa(real,real,sqrt,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3634])])).
% 58.08/9.46 tff(f56480,plain,(
% 58.08/9.46 ( ! [X0 : real] : (zero_zero(real) = X0 | zero_zero(real) != aa(real,real,sqrt,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f40904])).
% 58.08/9.46 tff(f40904,plain,(
% 58.08/9.46 ! [X0 : real] : ((zero_zero(real) = aa(real,real,sqrt,X0) | zero_zero(real) != X0) & (zero_zero(real) = X0 | zero_zero(real) != aa(real,real,sqrt,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f25207])).
% 58.08/9.46 tff(f25207,plain,(
% 58.08/9.46 ! [X0 : real] : (zero_zero(real) = aa(real,real,sqrt,X0) <=> zero_zero(real) = X0)),
% 58.08/9.46 inference(rectify,[],[f3755])).
% 58.08/9.46 tff(f3755,axiom,(
% 58.08/9.46 ! [X9 : real] : (zero_zero(real) = aa(real,real,sqrt,X9) <=> zero_zero(real) = X9)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3754_real__sqrt__eq__zero__cancel__iff)).
% 58.08/9.46 tff(f99440,plain,(
% 58.08/9.46 spl5880_3633),
% 58.08/9.46 inference(avatar_split_clause,[],[f56170,f99438])).
% 58.08/9.46 tff(f99438,plain,(
% 58.08/9.46 spl5880_3633 <=> ! [X0 : set(real),X1 : real,X3 : real] : (sP1996(X0) | member(real,sK3300(X0,X1),X0) | ~member(real,X3,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3633])])).
% 58.08/9.46 tff(f56170,plain,(
% 58.08/9.46 ( ! [X3 : real,X0 : set(real),X1 : real] : (sP1996(X0) | member(real,sK3300(X0,X1),X0) | ~member(real,X3,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f40748])).
% 58.08/9.46 tff(f40748,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (sP1996(X0) | ! [X1 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3300(X0,X1)),X1)) & member(real,sK3300(X0,X1),X0)) | ! [X3 : real] : ~member(real,X3,X0))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3300])],[f40746,f40747])).
% 58.08/9.46 tff(f40747,plain,(
% 58.08/9.46 ! [X0 : set(real),X1 : real] : (? [X2 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X1)) & member(real,X2,X0)) => (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),sK3300(X0,X1)),X1)) & member(real,sK3300(X0,X1),X0)))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f40746,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (sP1996(X0) | ! [X1 : real] : ? [X2 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X2),X1)) & member(real,X2,X0)) | ! [X3 : real] : ~member(real,X3,X0))),
% 58.08/9.46 inference(rectify,[],[f37195])).
% 58.08/9.46 tff(f37195,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (sP1996(X0) | ! [X2 : real] : ? [X3 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X2)) & member(real,X3,X0)) | ! [X1 : real] : ~member(real,X1,X0))),
% 58.08/9.46 inference(definition_folding,[],[f32927,f37194])).
% 58.08/9.46 tff(f37194,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (? [X4 : real] : (! [X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) | ? [X6 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X5)) & member(real,X6,X0))) & ! [X7 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X4)) | ~member(real,X7,X0))) | ~sP1996(X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1996])])).
% 58.08/9.46 tff(f32927,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (? [X4 : real] : (! [X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) | ? [X6 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X5)) & member(real,X6,X0))) & ! [X7 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X4)) | ~member(real,X7,X0))) | ! [X2 : real] : ? [X3 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X2)) & member(real,X3,X0)) | ! [X1 : real] : ~member(real,X1,X0))),
% 58.08/9.46 inference(flattening,[],[f32926])).
% 58.08/9.46 tff(f32926,plain,(
% 58.08/9.46 ! [X0 : set(real)] : ((? [X4 : real] : (! [X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) | ? [X6 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X5)) & member(real,X6,X0))) & ! [X7 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X4)) | ~member(real,X7,X0))) | ! [X2 : real] : ? [X3 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X2)) & member(real,X3,X0))) | ! [X1 : real] : ~member(real,X1,X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f13887])).
% 58.08/9.46 tff(f13887,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (? [X1 : real] : member(real,X1,X0) => (? [X2 : real] : ! [X3 : real] : (member(real,X3,X0) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X2))) => ? [X4 : real] : (! [X5 : real] : (! [X6 : real] : (member(real,X6,X0) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X5))) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5))) & ! [X7 : real] : (member(real,X7,X0) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X4))))))),
% 58.08/9.46 inference(fool_elimination,[],[f13886])).
% 58.08/9.46 tff(f13886,plain,(
% 58.08/9.46 ! [X0 : set(real)] : (? [X1 : real] : member(real,X1,X0) => (? [X2 : real] : ! [X3 : real] : (member(real,X3,X0) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X3),X2)) => ? [X4 : real] : (! [X5 : real] : (! [X6 : real] : (member(real,X6,X0) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X6),X5)) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X4),X5)) & ! [X7 : real] : (member(real,X7,X0) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X7),X4)))))),
% 58.08/9.46 inference(rectify,[],[f516])).
% 58.08/9.46 tff(f516,axiom,(
% 58.08/9.46 ! [X93 : set(real)] : (? [X50 : real] : member(real,X50,X93) => (? [X94 : real] : ! [X29 : real] : (member(real,X29,X93) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X29),X94)) => ? [X52 : real] : (! [X94 : real] : (! [X29 : real] : (member(real,X29,X93) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X29),X94)) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X52),X94)) & ! [X50 : real] : (member(real,X50,X93) => aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),X50),X52)))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_515_complete__real)).
% 58.08/9.46 tff(f99436,plain,(
% 58.08/9.46 spl5880_3632),
% 58.08/9.46 inference(avatar_split_clause,[],[f55973,f99434])).
% 58.08/9.46 tff(f99434,plain,(
% 58.08/9.46 spl5880_3632 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3632])])).
% 58.08/9.46 tff(f55973,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32654])).
% 58.08/9.46 tff(f32654,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0))),
% 58.08/9.46 inference(flattening,[],[f32653])).
% 58.08/9.46 tff(f32653,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)) | (~power(X0) | ~inverse(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f25125])).
% 58.08/9.46 tff(f25125,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)))),
% 58.08/9.46 inference(rectify,[],[f7016])).
% 58.08/9.46 tff(f7016,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X9 : X0] : one_one(X0) = power_int(X0,X9,zero_zero(int)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7015_power__int__0__right)).
% 58.08/9.46 tff(f99432,plain,(
% 58.08/9.46 spl5880_3631),
% 58.08/9.46 inference(avatar_split_clause,[],[f55843,f99430])).
% 58.08/9.46 tff(f99430,plain,(
% 58.08/9.46 spl5880_3631 <=> ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3631])])).
% 58.08/9.46 tff(f55843,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32412])).
% 58.08/9.46 tff(f32412,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 inference(flattening,[],[f32411])).
% 58.08/9.46 tff(f32411,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X1)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f25019])).
% 58.08/9.46 tff(f25019,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X1)))),
% 58.08/9.46 inference(rectify,[],[f4418])).
% 58.08/9.46 tff(f4418,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : summable(X0,aTP_Lamp_it(X0,fun(nat,X0),X9)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4417_summable__exp)).
% 58.08/9.46 tff(f99428,plain,(
% 58.08/9.46 spl5880_3630),
% 58.08/9.46 inference(avatar_split_clause,[],[f55797,f99426])).
% 58.08/9.46 tff(f99426,plain,(
% 58.08/9.46 spl5880_3630 <=> ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_hc(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3630])])).
% 58.08/9.46 tff(f55797,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_hc(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32320])).
% 58.08/9.46 tff(f32320,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_hc(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 inference(flattening,[],[f32319])).
% 58.08/9.46 tff(f32319,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_hc(X0,fun(nat,real),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f24980])).
% 58.08/9.46 tff(f24980,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(real,aTP_Lamp_hc(X0,fun(nat,real),X1)))),
% 58.08/9.46 inference(rectify,[],[f4088])).
% 58.08/9.46 tff(f4088,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : summable(real,aTP_Lamp_hc(X0,fun(nat,real),X9)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4087_summable__norm__sin)).
% 58.08/9.46 tff(f99424,plain,(
% 58.08/9.46 spl5880_3629),
% 58.08/9.46 inference(avatar_split_clause,[],[f55796,f99422])).
% 58.08/9.46 tff(f99422,plain,(
% 58.08/9.46 spl5880_3629 <=> ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_hd(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3629])])).
% 58.08/9.46 tff(f55796,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_hd(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32318])).
% 58.08/9.46 tff(f32318,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_hd(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 inference(flattening,[],[f32317])).
% 58.08/9.46 tff(f32317,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_hd(X0,fun(nat,real),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f24979])).
% 58.08/9.46 tff(f24979,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(real,aTP_Lamp_hd(X0,fun(nat,real),X1)))),
% 58.08/9.46 inference(rectify,[],[f4089])).
% 58.08/9.46 tff(f4089,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : summable(real,aTP_Lamp_hd(X0,fun(nat,real),X9)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4088_summable__norm__cos)).
% 58.08/9.46 tff(f99420,plain,(
% 58.08/9.46 spl5880_3628),
% 58.08/9.46 inference(avatar_split_clause,[],[f55795,f99418])).
% 58.08/9.46 tff(f99418,plain,(
% 58.08/9.46 spl5880_3628 <=> ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_iv(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3628])])).
% 58.08/9.46 tff(f55795,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_iv(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32316])).
% 58.08/9.46 tff(f32316,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_iv(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 inference(flattening,[],[f32315])).
% 58.08/9.46 tff(f32315,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_iv(X0,fun(nat,real),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f24978])).
% 58.08/9.46 tff(f24978,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(real,aTP_Lamp_iv(X0,fun(nat,real),X1)))),
% 58.08/9.46 inference(rectify,[],[f4435])).
% 58.08/9.46 tff(f4435,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : summable(real,aTP_Lamp_iv(X0,fun(nat,real),X9)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4434_summable__norm__exp)).
% 58.08/9.46 tff(f99416,plain,(
% 58.08/9.46 spl5880_3627),
% 58.08/9.46 inference(avatar_split_clause,[],[f55794,f99414])).
% 58.08/9.46 tff(f99414,plain,(
% 58.08/9.46 spl5880_3627 <=> ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3627])])).
% 58.08/9.46 tff(f55794,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f32314])).
% 58.08/9.46 tff(f32314,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.08/9.46 inference(flattening,[],[f32313])).
% 58.08/9.46 tff(f32313,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.08/9.46 inference(ennf_transformation,[],[f24977])).
% 58.08/9.46 tff(f24977,plain,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X1)))),
% 58.08/9.46 inference(rectify,[],[f4419])).
% 58.08/9.46 tff(f4419,axiom,(
% 58.08/9.46 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X9 : X0] : summable(X0,aTP_Lamp_iu(X0,fun(nat,X0),X9)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4418_summable__exp__generic)).
% 58.08/9.46 tff(f99412,plain,(
% 58.08/9.46 spl5880_3626),
% 58.08/9.46 inference(avatar_split_clause,[],[f54898,f99410])).
% 58.08/9.46 tff(f99410,plain,(
% 58.08/9.46 spl5880_3626 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3626])])).
% 58.08/9.46 tff(f54898,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f31616])).
% 58.08/9.46 tff(f31616,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1)) | ~linorder(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f24837])).
% 58.08/9.46 tff(f24837,plain,(
% 58.08/9.46 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),X1)))),
% 58.08/9.46 inference(rectify,[],[f8051])).
% 58.08/9.46 tff(f8051,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X64) => sorted_wrt(X0,ord_less_eq(X0),X64)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8050_strict__sorted__imp__sorted)).
% 58.08/9.46 tff(f99408,plain,(
% 58.08/9.46 spl5880_3625),
% 58.08/9.46 inference(avatar_split_clause,[],[f54894,f99406])).
% 58.08/9.46 tff(f99406,plain,(
% 58.08/9.46 spl5880_3625 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),sK2853(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3625])])).
% 58.08/9.46 tff(f54894,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),sK2853(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f39979])).
% 58.08/9.46 tff(f99404,plain,(
% 58.08/9.46 spl5880_3624),
% 58.08/9.46 inference(avatar_split_clause,[],[f54890,f99402])).
% 58.08/9.46 tff(f99402,plain,(
% 58.08/9.46 spl5880_3624 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),sK2852(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3624])])).
% 58.08/9.46 tff(f54890,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),sK2852(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f39977])).
% 58.08/9.46 tff(f99400,plain,(
% 58.08/9.46 spl5880_3623),
% 58.08/9.46 inference(avatar_split_clause,[],[f54826,f99398])).
% 58.08/9.46 tff(f99398,plain,(
% 58.08/9.46 spl5880_3623 <=> ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3623])])).
% 58.08/9.46 tff(f54826,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f31546])).
% 58.08/9.46 tff(f31546,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f24804])).
% 58.08/9.46 tff(f24804,plain,(
% 58.08/9.46 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),semiring_1_Nats(X0)))),
% 58.08/9.46 inference(rectify,[],[f7705])).
% 58.08/9.46 tff(f7705,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (semiring_1(X0) => ! [X20 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X20),semiring_1_Nats(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7704_Nats__numeral)).
% 58.08/9.46 tff(f99396,plain,(
% 58.08/9.46 spl5880_3622),
% 58.08/9.46 inference(avatar_split_clause,[],[f54460,f99394])).
% 58.08/9.46 tff(f99394,plain,(
% 58.08/9.46 spl5880_3622 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aTP_Lamp_af(X0,X0),X1) | ~mult_zero(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3622])])).
% 58.08/9.46 tff(f54460,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aTP_Lamp_af(X0,X0),X1) | ~mult_zero(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f31212])).
% 58.08/9.46 tff(f31212,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_af(X0,X0),X1) | ~mult_zero(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f24563])).
% 58.08/9.46 tff(f24563,plain,(
% 58.08/9.46 ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_af(X0,X0),X1))),
% 58.08/9.46 inference(rectify,[],[f9031])).
% 58.08/9.46 tff(f9031,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (mult_zero(X0) => ! [X105 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_af(X0,X0),X105))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9030_ATP_Olambda__850)).
% 58.08/9.46 tff(f99392,plain,(
% 58.08/9.46 spl5880_3621),
% 58.08/9.46 inference(avatar_split_clause,[],[f54154,f99390])).
% 58.08/9.46 tff(f99390,plain,(
% 58.08/9.46 spl5880_3621 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aTP_Lamp_aaa(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3621])])).
% 58.08/9.46 tff(f54154,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aTP_Lamp_aaa(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30962])).
% 58.08/9.46 tff(f30962,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aTP_Lamp_aaa(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f24481])).
% 58.08/9.46 tff(f24481,plain,(
% 58.08/9.46 ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aTP_Lamp_aaa(X0,fun(X0,X0),X1),X2))),
% 58.08/9.46 inference(rectify,[],[f6942])).
% 58.08/9.46 tff(f6942,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X11 : X0,X27 : set(X0)] : inj_on(X0,X0,aTP_Lamp_aaa(X0,fun(X0,X0),X11),X27))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6941_inj__on__add_H)).
% 58.08/9.46 tff(f99388,plain,(
% 58.08/9.46 spl5880_3620),
% 58.08/9.46 inference(avatar_split_clause,[],[f54011,f99386])).
% 58.08/9.46 tff(f54011,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : int] : (aa(int,X0,ring_1_of_int(X0),X1) = iG493(X0,X1) | ~ring_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30849])).
% 58.08/9.46 tff(f30849,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : int] : aa(int,X0,ring_1_of_int(X0),X1) = iG493(X0,X1) | ~ring_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f12284])).
% 58.08/9.46 tff(f12284,plain,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : int] : aa(int,X0,ring_1_of_int(X0),X1) = iG493(X0,X1))),
% 58.08/9.46 inference(fool_elimination,[],[f12279,f12283,f12282,f12281,f12280])).
% 58.08/9.46 tff(f12280,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : int] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(int,X0,ring_1_of_int(X0),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG490(X0,X1)),
% 58.08/9.46 introduced(fool_let_definition,[new_symbols(definition,[lG490])])).
% 58.08/9.46 tff(f12281,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG490(X0,X1)),one_one(X0)) = iG491(X0,X1)) & ! [X0 : $tType,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG490(X0,X1) = iG491(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG491])])).
% 58.08/9.46 tff(f12282,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => iG491(X0,X1) = iG492(X0,X1)) & ! [X0 : $tType,X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => aa(X0,X0,uminus_uminus(X0),aa(int,X0,ring_1_of_int(X0),aa(int,int,uminus_uminus(int),X1))) = iG492(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG492])])).
% 58.08/9.46 tff(f12283,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => iG492(X0,X1) = iG493(X0,X1)) & ! [X0 : $tType,X1 : int] : (zero_zero(int) = X1 => zero_zero(X0) = iG493(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG493])])).
% 58.08/9.46 tff(f12279,plain,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : int] : aa(int,X0,ring_1_of_int(X0),X1) = $ite(zero_zero(int) = X1, zero_zero(X0),$ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)), aa(X0,X0,uminus_uminus(X0),aa(int,X0,ring_1_of_int(X0),aa(int,int,uminus_uminus(int),X1))),$let(l235: X0, l235 := aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(int,X0,ring_1_of_int(X0),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))), $ite(zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))), l235,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),l235),one_one(X0)))))))),
% 58.08/9.46 inference(rectify,[],[f2580])).
% 58.08/9.46 tff(f2580,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => ! [X24 : int] : aa(int,X0,ring_1_of_int(X0),X24) = $ite(zero_zero(int) = X24, zero_zero(X0),$ite(aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),zero_zero(int)), aa(X0,X0,uminus_uminus(X0),aa(int,X0,ring_1_of_int(X0),aa(int,int,uminus_uminus(int),X24))),$let(l235: X0, l235 := aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(int,X0,ring_1_of_int(X0),divide_divide(int,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))), $ite(zero_zero(int) = modulo_modulo(int,X24,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))), l235,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),l235),one_one(X0)))))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2579_of__int__code__if)).
% 58.08/9.46 tff(f99384,plain,(
% 58.08/9.46 spl5880_3619),
% 58.08/9.46 inference(avatar_split_clause,[],[f53997,f99382])).
% 58.08/9.46 tff(f99382,plain,(
% 58.08/9.46 spl5880_3619 <=> ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),ring_1_Ints(X0)) | ~ring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3619])])).
% 58.08/9.46 tff(f53997,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),ring_1_Ints(X0)) | ~ring_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30835])).
% 58.08/9.46 tff(f30835,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),ring_1_Ints(X0)) | ~ring_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f24386])).
% 58.08/9.46 tff(f24386,plain,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),ring_1_Ints(X0)))),
% 58.08/9.46 inference(rectify,[],[f4847])).
% 58.08/9.46 tff(f4847,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => ! [X8 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X8),ring_1_Ints(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4846_Ints__numeral)).
% 58.08/9.46 tff(f99380,plain,(
% 58.08/9.46 spl5880_3618),
% 58.08/9.46 inference(avatar_split_clause,[],[f53993,f99378])).
% 58.08/9.46 tff(f99378,plain,(
% 58.08/9.46 spl5880_3618 <=> ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3618])])).
% 58.08/9.46 tff(f53993,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30831])).
% 58.08/9.46 tff(f30831,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2598])).
% 58.08/9.46 tff(f2598,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ring_1(X0) => one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2597_of__int__1)).
% 58.08/9.46 tff(f99376,plain,(
% 58.08/9.46 spl5880_3617),
% 58.08/9.46 inference(avatar_split_clause,[],[f53756,f99374])).
% 58.08/9.46 tff(f99374,plain,(
% 58.08/9.46 spl5880_3617 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3617])])).
% 58.08/9.46 tff(f53756,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30584])).
% 58.08/9.46 tff(f30584,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2319])).
% 58.08/9.46 tff(f2319,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (group_add(X0) => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2318_add_Oinverse__neutral)).
% 58.08/9.46 tff(f99372,plain,(
% 58.08/9.46 spl5880_3616),
% 58.08/9.46 inference(avatar_split_clause,[],[f53666,f99370])).
% 58.08/9.46 tff(f99370,plain,(
% 58.08/9.46 spl5880_3616 <=> ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3616])])).
% 58.08/9.46 tff(f53666,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30519])).
% 58.08/9.46 tff(f30519,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2460])).
% 58.08/9.46 tff(f2460,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ring_char_0(X0) => zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2459_zero__neq__neg__one)).
% 58.08/9.46 tff(f99368,plain,(
% 58.08/9.46 spl5880_3615),
% 58.08/9.46 inference(avatar_split_clause,[],[f53665,f99366])).
% 58.08/9.46 tff(f99366,plain,(
% 58.08/9.46 spl5880_3615 <=> ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3615])])).
% 58.08/9.46 tff(f53665,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30518])).
% 58.08/9.46 tff(f30518,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2440])).
% 58.08/9.46 tff(f2440,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ring_char_0(X0) => one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2439_one__neq__neg__one)).
% 58.08/9.46 tff(f99364,plain,(
% 58.08/9.46 spl5880_3614),
% 58.08/9.46 inference(avatar_split_clause,[],[f53620,f99362])).
% 58.08/9.46 tff(f99362,plain,(
% 58.08/9.46 spl5880_3614 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3614])])).
% 58.08/9.46 tff(f53620,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30486])).
% 58.08/9.46 tff(f30486,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2784])).
% 58.08/9.46 tff(f2784,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (idom_abs_sgn(X0) => zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2783_abs__0)).
% 58.08/9.46 tff(f99360,plain,(
% 58.08/9.46 spl5880_3613),
% 58.08/9.46 inference(avatar_split_clause,[],[f53619,f99358])).
% 58.08/9.46 tff(f99358,plain,(
% 58.08/9.46 spl5880_3613 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3613])])).
% 58.08/9.46 tff(f53619,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30485])).
% 58.08/9.46 tff(f30485,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4559])).
% 58.08/9.46 tff(f4559,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (idom_abs_sgn(X0) => zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4558_sgn__0)).
% 58.08/9.46 tff(f99356,plain,(
% 58.08/9.46 spl5880_3612),
% 58.08/9.46 inference(avatar_split_clause,[],[f53618,f99354])).
% 58.08/9.46 tff(f99354,plain,(
% 58.08/9.46 spl5880_3612 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3612])])).
% 58.08/9.46 tff(f53618,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30484])).
% 58.08/9.46 tff(f30484,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2787])).
% 58.08/9.46 tff(f2787,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (idom_abs_sgn(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2786_abs__1)).
% 58.08/9.46 tff(f99352,plain,(
% 58.08/9.46 spl5880_3611),
% 58.08/9.46 inference(avatar_split_clause,[],[f53617,f99350])).
% 58.08/9.46 tff(f99350,plain,(
% 58.08/9.46 spl5880_3611 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3611])])).
% 58.08/9.46 tff(f53617,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30483])).
% 58.08/9.46 tff(f30483,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4560])).
% 58.08/9.46 tff(f4560,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (idom_abs_sgn(X0) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4559_sgn__1)).
% 58.08/9.46 tff(f99348,plain,(
% 58.08/9.46 spl5880_3610),
% 58.08/9.46 inference(avatar_split_clause,[],[f53231,f99346])).
% 58.08/9.46 tff(f99346,plain,(
% 58.08/9.46 spl5880_3610 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,sgn_sgn(X0),X1) = iG471(X0,X1) | ~linordered_idom(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3610])])).
% 58.08/9.46 tff(f53231,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,sgn_sgn(X0),X1) = iG471(X0,X1) | ~linordered_idom(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30210])).
% 58.08/9.46 tff(f30210,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,sgn_sgn(X0),X1) = iG471(X0,X1) | ~linordered_idom(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f11708])).
% 58.08/9.46 tff(f11708,plain,(
% 58.08/9.46 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : aa(X0,X0,sgn_sgn(X0),X1) = iG471(X0,X1))),
% 58.08/9.46 inference(fool_elimination,[],[f11705,f11707,f11706])).
% 58.08/9.46 tff(f11706,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG470(X0,X1)) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => one_one(X0) = iG470(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG470])])).
% 58.08/9.46 tff(f11707,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => iG470(X0,X1) = iG471(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG471(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG471])])).
% 58.08/9.46 tff(f11705,plain,(
% 58.08/9.46 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : aa(X0,X0,sgn_sgn(X0),X1) = $ite(zero_zero(X0) = X1, zero_zero(X0),$ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1), one_one(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0)))))),
% 58.08/9.46 inference(rectify,[],[f4678])).
% 58.08/9.46 tff(f4678,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (linordered_idom(X0) => ! [X9 : X0] : aa(X0,X0,sgn_sgn(X0),X9) = $ite(zero_zero(X0) = X9, zero_zero(X0),$ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X9), one_one(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0)))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4677_sgn__if)).
% 58.08/9.46 tff(f99344,plain,(
% 58.08/9.46 spl5880_3609),
% 58.08/9.46 inference(avatar_split_clause,[],[f53215,f99342])).
% 58.08/9.46 tff(f99342,plain,(
% 58.08/9.46 spl5880_3609 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3609])])).
% 58.08/9.46 tff(f53215,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30194])).
% 58.08/9.46 tff(f30194,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2820])).
% 58.08/9.46 tff(f2820,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (linordered_idom(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2819_abs__one)).
% 58.08/9.46 tff(f99340,plain,(
% 58.08/9.46 spl5880_3608),
% 58.08/9.46 inference(avatar_split_clause,[],[f53090,f99338])).
% 58.08/9.46 tff(f99338,plain,(
% 58.08/9.46 spl5880_3608 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3608])])).
% 58.08/9.46 tff(f53090,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f30110])).
% 58.08/9.46 tff(f30110,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2781])).
% 58.08/9.46 tff(f2781,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2780_abs__zero)).
% 58.08/9.46 tff(f99336,plain,(
% 58.08/9.46 spl5880_3607),
% 58.08/9.46 inference(avatar_split_clause,[],[f52884,f99334])).
% 58.08/9.46 tff(f99334,plain,(
% 58.08/9.46 spl5880_3607 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),X1) = iG469(X0,X1) | ~abs_if(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3607])])).
% 58.08/9.46 tff(f52884,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),X1) = iG469(X0,X1) | ~abs_if(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29997])).
% 58.08/9.46 tff(f29997,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = iG469(X0,X1) | ~abs_if(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f11416])).
% 58.08/9.46 tff(f11416,plain,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = iG469(X0,X1))),
% 58.08/9.46 inference(fool_elimination,[],[f11414,f11415])).
% 58.08/9.46 tff(f11415,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG469(X0,X1) = X1) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => aa(X0,X0,uminus_uminus(X0),X1) = iG469(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG469])])).
% 58.08/9.46 tff(f11414,plain,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)), aa(X0,X0,uminus_uminus(X0),X1),X1))),
% 58.08/9.46 inference(rectify,[],[f2865])).
% 58.08/9.46 tff(f2865,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X50 : X0] : aa(X0,X0,abs_abs(X0),X50) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X50),zero_zero(X0)), aa(X0,X0,uminus_uminus(X0),X50),X50))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2864_abs__if__raw)).
% 58.08/9.46 tff(f99332,plain,(
% 58.08/9.46 spl5880_3606),
% 58.08/9.46 inference(avatar_split_clause,[],[f52883,f99330])).
% 58.08/9.46 tff(f52883,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,abs_abs(X0),X1) = iG468(X0,X1) | ~abs_if(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29996])).
% 58.08/9.46 tff(f29996,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = iG468(X0,X1) | ~abs_if(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f11413])).
% 58.08/9.46 tff(f11413,plain,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = iG468(X0,X1))),
% 58.08/9.46 inference(fool_elimination,[],[f11411,f11412])).
% 58.08/9.46 tff(f11412,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG468(X0,X1) = X1) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => aa(X0,X0,uminus_uminus(X0),X1) = iG468(X0,X1))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG468])])).
% 58.08/9.46 tff(f11411,plain,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X1 : X0] : aa(X0,X0,abs_abs(X0),X1) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)), aa(X0,X0,uminus_uminus(X0),X1),X1))),
% 58.08/9.46 inference(rectify,[],[f2866])).
% 58.08/9.46 tff(f2866,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (abs_if(X0) => ! [X11 : X0] : aa(X0,X0,abs_abs(X0),X11) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0)), aa(X0,X0,uminus_uminus(X0),X11),X11))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2865_abs__if)).
% 58.08/9.46 tff(f99328,plain,(
% 58.08/9.46 spl5880_3605),
% 58.08/9.46 inference(avatar_split_clause,[],[f52592,f99326])).
% 58.08/9.46 tff(f99326,plain,(
% 58.08/9.46 spl5880_3605 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3605])])).
% 58.08/9.46 tff(f52592,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29757])).
% 58.08/9.46 tff(f29757,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4316])).
% 58.08/9.46 tff(f4316,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (division_ring(X0) => zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4315_inverse__zero)).
% 58.08/9.46 tff(f99324,plain,(
% 58.08/9.46 spl5880_3604),
% 58.08/9.46 inference(avatar_split_clause,[],[f52591,f99322])).
% 58.08/9.46 tff(f99322,plain,(
% 58.08/9.46 spl5880_3604 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3604])])).
% 58.08/9.46 tff(f52591,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29756])).
% 58.08/9.46 tff(f29756,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4318])).
% 58.08/9.46 tff(f4318,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (division_ring(X0) => one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4317_inverse__1)).
% 58.08/9.46 tff(f99320,plain,(
% 58.08/9.46 spl5880_3603),
% 58.08/9.46 inference(avatar_split_clause,[],[f52511,f99318])).
% 58.08/9.46 tff(f99318,plain,(
% 58.08/9.46 spl5880_3603 <=> ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),field_char_0_Rats(X0)) | ~field_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3603])])).
% 58.08/9.46 tff(f52511,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),field_char_0_Rats(X0)) | ~field_char_0(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29674])).
% 58.08/9.46 tff(f29674,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),field_char_0_Rats(X0)) | ~field_char_0(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23867])).
% 58.08/9.46 tff(f23867,plain,(
% 58.08/9.46 ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),field_char_0_Rats(X0)))),
% 58.08/9.46 inference(rectify,[],[f7684])).
% 58.08/9.46 tff(f7684,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (field_char_0(X0) => ! [X20 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X20),field_char_0_Rats(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7683_Rats__number__of)).
% 58.08/9.46 tff(f99316,plain,(
% 58.08/9.46 spl5880_3602),
% 58.08/9.46 inference(avatar_split_clause,[],[f52508,f99314])).
% 58.08/9.46 tff(f99314,plain,(
% 58.08/9.46 spl5880_3602 <=> ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3602])])).
% 58.08/9.46 tff(f52508,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29671])).
% 58.08/9.46 tff(f29671,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f7748])).
% 58.08/9.46 tff(f7748,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (field_char_0(X0) => one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7747_of__rat__1)).
% 58.08/9.46 tff(f99312,plain,(
% 58.08/9.46 spl5880_3601),
% 58.08/9.46 inference(avatar_split_clause,[],[f52462,f99310])).
% 58.08/9.46 tff(f99310,plain,(
% 58.08/9.46 spl5880_3601 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3601])])).
% 58.08/9.46 tff(f52462,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f39298])).
% 58.08/9.46 tff(f99308,plain,(
% 58.08/9.46 spl5880_3600),
% 58.08/9.46 inference(avatar_split_clause,[],[f52437,f99306])).
% 58.08/9.46 tff(f99306,plain,(
% 58.08/9.46 spl5880_3600 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3600])])).
% 58.08/9.46 tff(f52437,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29615])).
% 58.08/9.46 tff(f29615,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4343])).
% 58.08/9.46 tff(f4343,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (field(X0) => zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4342_field__class_Ofield__inverse__zero)).
% 58.08/9.46 tff(f99304,plain,(
% 58.08/9.46 spl5880_3599),
% 58.08/9.46 inference(avatar_split_clause,[],[f52295,f99302])).
% 58.08/9.46 tff(f99302,plain,(
% 58.08/9.46 spl5880_3599 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (dvd_dvd(X1,sK2715(X1,X0,X2),one_one(X1)) | ~sP1894(X1,X0,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3599])])).
% 58.08/9.46 tff(f52295,plain,(
% 58.08/9.46 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (dvd_dvd(X1,sK2715(X1,X0,X2),one_one(X1)) | ~sP1894(X1,X0,X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f39258])).
% 58.08/9.46 tff(f99300,plain,(
% 58.08/9.46 spl5880_3598),
% 58.08/9.46 inference(avatar_split_clause,[],[f52187,f99298])).
% 58.08/9.46 tff(f99298,plain,(
% 58.08/9.46 spl5880_3598 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3598])])).
% 58.08/9.46 tff(f52187,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29387])).
% 58.08/9.46 tff(f29387,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23653])).
% 58.08/9.46 tff(f23653,plain,(
% 58.08/9.46 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2))),
% 58.08/9.46 inference(rectify,[],[f958])).
% 58.08/9.46 tff(f958,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X11 : X0,X12 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X11,X12),X12))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_957_mod__div__trivial)).
% 58.08/9.46 tff(f99296,plain,(
% 58.08/9.46 spl5880_3597),
% 58.08/9.46 inference(avatar_split_clause,[],[f52145,f99294])).
% 58.08/9.46 tff(f99294,plain,(
% 58.08/9.46 spl5880_3597 <=> ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK2710(X0,X1))) | ~sP1888(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3597])])).
% 58.08/9.46 tff(f52145,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : fun(X0,$o)] : (($true = aa(X0,$o,X1,sK2710(X0,X1))) | ~sP1888(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f39223])).
% 58.08/9.46 tff(f39223,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,$o)] : ((($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(sK2711(X0,X1)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),sK2710(X0,X1))))) & sK2710(X0,X1) = divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(sK2711(X0,X1)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),sK2710(X0,X1))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & ($true = aa(X0,$o,X1,sK2710(X0,X1)))) | ~sP1888(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2710,sK2711])],[f39221,f39222])).
% 58.08/9.46 tff(f39222,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X2 : X0,X3 : $o] : (($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(X3))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(X3))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = X2 & ($true = aa(X0,$o,X1,X2))) => (($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(sK2711(X0,X1)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),sK2710(X0,X1))))) & sK2710(X0,X1) = divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(sK2711(X0,X1)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),sK2710(X0,X1))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & ($true = aa(X0,$o,X1,sK2710(X0,X1)))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f39221,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X2 : X0,X3 : $o] : (($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(X3))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(X3))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = X2 & ($true = aa(X0,$o,X1,X2))) | ~sP1888(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f39220])).
% 58.08/9.46 tff(f39220,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X4 : X0,X5 : $o] : (($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(X5))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X4)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(X5))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X4)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = X4 & ($true = aa(X0,$o,X1,X4))) | ~sP1888(X0,X1))),
% 58.08/9.46 inference(nnf_transformation,[],[f37024])).
% 58.08/9.46 tff(f37024,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : fun(X0,$o)] : (? [X4 : X0,X5 : $o] : (($true != aa(X0,$o,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG412(X5))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X4)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa($o,X0,zero_neq_one_of_bool(X0),bG411(X5))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X4)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = X4 & ($true = aa(X0,$o,X1,X4))) | ~sP1888(X0,X1))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1888])])).
% 58.08/9.46 tff(f99292,plain,(
% 58.08/9.46 spl5880_3596),
% 58.08/9.46 inference(avatar_split_clause,[],[f52129,f99290])).
% 58.08/9.46 tff(f99290,plain,(
% 58.08/9.46 spl5880_3596 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3596])])).
% 58.08/9.46 tff(f52129,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f29360])).
% 58.08/9.46 tff(f29360,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23644])).
% 58.08/9.46 tff(f23644,plain,(
% 58.08/9.46 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2))),
% 58.08/9.46 inference(rectify,[],[f957])).
% 58.08/9.46 tff(f957,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0,X12 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X11,X12),X12))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_956_bits__mod__div__trivial)).
% 58.08/9.46 tff(f99288,plain,(
% 58.08/9.46 spl5880_3595),
% 58.08/9.46 inference(avatar_split_clause,[],[f51483,f99286])).
% 58.08/9.46 tff(f99286,plain,(
% 58.08/9.46 spl5880_3595 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3595])])).
% 58.08/9.46 tff(f51483,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f38978])).
% 58.08/9.46 tff(f99284,plain,(
% 58.08/9.46 spl5880_3594),
% 58.08/9.46 inference(avatar_split_clause,[],[f51106,f99282])).
% 58.08/9.46 tff(f99282,plain,(
% 58.08/9.46 spl5880_3594 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3594])])).
% 58.08/9.46 tff(f51106,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28472])).
% 58.08/9.46 tff(f28472,plain,(
% 58.08/9.46 ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f4561])).
% 58.08/9.46 tff(f4561,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4560_sgn__one)).
% 58.08/9.46 tff(f99280,plain,(
% 58.08/9.46 spl5880_3593),
% 58.08/9.46 inference(avatar_split_clause,[],[f51061,f99278])).
% 58.08/9.46 tff(f99278,plain,(
% 58.08/9.46 spl5880_3593 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3593])])).
% 58.08/9.46 tff(f51061,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28424])).
% 58.08/9.46 tff(f28424,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23229])).
% 58.08/9.46 tff(f23229,plain,(
% 58.08/9.46 ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X1)))),
% 58.08/9.46 inference(rectify,[],[f3413])).
% 58.08/9.46 tff(f3413,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X30 : fun(nat,X0)] : summable(X0,aTP_Lamp_dk(fun(nat,X0),fun(nat,X0),X30)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3412_summable__0__powser)).
% 58.08/9.46 tff(f99276,plain,(
% 58.08/9.46 spl5880_3592),
% 58.08/9.46 inference(avatar_split_clause,[],[f50891,f99274])).
% 58.08/9.46 tff(f99274,plain,(
% 58.08/9.46 spl5880_3592 <=> ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3592])])).
% 58.08/9.46 tff(f50891,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : num] : (member(X0,aa(num,X0,numeral_numeral(X0),X1),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28330])).
% 58.08/9.46 tff(f28330,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23192])).
% 58.08/9.46 tff(f23192,plain,(
% 58.08/9.46 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X1),real_Vector_Reals(X0)))),
% 58.08/9.46 inference(rectify,[],[f5287])).
% 58.08/9.46 tff(f5287,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X20 : num] : member(X0,aa(num,X0,numeral_numeral(X0),X20),real_Vector_Reals(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5286_Reals__numeral)).
% 58.08/9.46 tff(f99272,plain,(
% 58.08/9.46 spl5880_3591),
% 58.08/9.46 inference(avatar_split_clause,[],[f50799,f99270])).
% 58.08/9.46 tff(f99270,plain,(
% 58.08/9.46 spl5880_3591 <=> ! [X0 : $tType,X5 : nat,X1 : X0] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2571(X0,X1),X5)) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3591])])).
% 58.08/9.46 tff(f50799,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0,X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2571(X0,X1),X5)) | ~topolo3112930676232923870pology(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f38750])).
% 58.08/9.46 tff(f99268,plain,(
% 58.08/9.46 spl5880_3590),
% 58.08/9.46 inference(avatar_split_clause,[],[f50795,f99266])).
% 58.08/9.46 tff(f99266,plain,(
% 58.08/9.46 spl5880_3590 <=> ! [X0 : $tType,X5 : nat,X1 : X0] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2570(X0,X1),X5)) | ~topolo3112930676232923870pology(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3590])])).
% 58.08/9.46 tff(f50795,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0,X5 : nat] : (topolo1002775350975398744n_open(X0,aa(nat,set(X0),sK2570(X0,X1),X5)) | ~topolo3112930676232923870pology(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f38747])).
% 58.08/9.46 tff(f99264,plain,(
% 58.08/9.46 spl5880_3589),
% 58.08/9.46 inference(avatar_split_clause,[],[f50778,f99262])).
% 58.08/9.46 tff(f99262,plain,(
% 58.08/9.46 spl5880_3589 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aTP_Lamp_wh(X0,fun(X0,$o),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3589])])).
% 58.08/9.46 tff(f50778,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aTP_Lamp_wh(X0,fun(X0,$o),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28254])).
% 58.08/9.46 tff(f28254,plain,(
% 58.08/9.46 ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aTP_Lamp_wh(X0,fun(X0,$o),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f23153])).
% 58.08/9.46 tff(f23153,plain,(
% 58.08/9.46 ! [X0 : $tType] : (unboun7993243217541854897norder(X0) => ! [X1 : X0] : eventually(X0,aTP_Lamp_wh(X0,fun(X0,$o),X1),at_bot(X0)))),
% 58.08/9.46 inference(rectify,[],[f6475])).
% 58.08/9.46 tff(f6475,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (unboun7993243217541854897norder(X0) => ! [X17 : X0] : eventually(X0,aTP_Lamp_wh(X0,fun(X0,$o),X17),at_bot(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6474_eventually__gt__at__bot)).
% 58.08/9.46 tff(f99260,plain,(
% 58.08/9.46 spl5880_3588),
% 58.08/9.46 inference(avatar_split_clause,[],[f50667,f99258])).
% 58.08/9.46 tff(f99258,plain,(
% 58.08/9.46 spl5880_3588 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3588])])).
% 58.08/9.46 tff(f50667,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28162])).
% 58.08/9.46 tff(f28162,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f2742])).
% 58.08/9.46 tff(f2742,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ln(X0) => zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2741_ln__one)).
% 58.08/9.46 tff(f99256,plain,(
% 58.08/9.46 spl5880_3587),
% 58.08/9.46 inference(avatar_split_clause,[],[f50666,f99254])).
% 58.08/9.46 tff(f99254,plain,(
% 58.08/9.46 spl5880_3587 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3587])])).
% 58.08/9.46 tff(f50666,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f28161])).
% 58.08/9.46 tff(f28161,plain,(
% 58.08/9.46 ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0))),
% 58.08/9.46 inference(ennf_transformation,[],[f1839])).
% 58.08/9.46 tff(f1839,axiom,(
% 58.08/9.46 ! [X0 : $tType] : (ln(X0) => zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1838_arcosh__1)).
% 58.08/9.46 tff(f99252,plain,(
% 58.08/9.46 spl5880_3586),
% 58.08/9.46 inference(avatar_split_clause,[],[f50643,f99250])).
% 58.08/9.46 tff(f99250,plain,(
% 58.08/9.46 spl5880_3586 <=> ! [X0 : real] : aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3586])])).
% 58.08/9.46 tff(f50643,plain,(
% 58.08/9.46 ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0) )),
% 58.08/9.46 inference(cnf_transformation,[],[f10016])).
% 58.08/9.46 tff(f10016,plain,(
% 58.08/9.46 ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0 & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,arctan,X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),aa(real,real,arctan,X0))))),
% 58.08/9.46 inference(fool_elimination,[],[f10015])).
% 58.08/9.46 tff(f10015,plain,(
% 58.08/9.46 ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,arctan,X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),aa(real,real,arctan,X0)))),
% 58.08/9.46 inference(rectify,[],[f3721])).
% 58.08/9.46 tff(f3721,axiom,(
% 58.08/9.46 ! [X18 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X18)) = X18 & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,arctan,X18)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),aa(real,real,arctan,X18)))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3720_arctan)).
% 58.08/9.46 tff(f99248,plain,(
% 58.08/9.46 spl5880_3585),
% 58.08/9.46 inference(avatar_split_clause,[],[f50271,f99246])).
% 58.08/9.46 tff(f99246,plain,(
% 58.08/9.46 spl5880_3585 <=> ! [X0 : nat] : set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3585])])).
% 58.08/9.46 tff(f99244,plain,(
% 58.08/9.46 spl5880_3584),
% 58.08/9.46 inference(avatar_split_clause,[],[f50269,f99242])).
% 58.08/9.46 tff(f99242,plain,(
% 58.08/9.46 spl5880_3584 <=> ! [X0 : real] : archim6421214686448440834_floor(real,X0) = the(int,aTP_Lamp_lx(real,fun(int,$o),X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3584])])).
% 58.08/9.46 tff(f50269,plain,(
% 58.08/9.46 ( ! [X0 : real] : (archim6421214686448440834_floor(real,X0) = the(int,aTP_Lamp_lx(real,fun(int,$o),X0))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f22799])).
% 58.08/9.46 tff(f22799,plain,(
% 58.08/9.46 ! [X0 : real] : archim6421214686448440834_floor(real,X0) = the(int,aTP_Lamp_lx(real,fun(int,$o),X0))),
% 58.08/9.46 inference(rectify,[],[f5483])).
% 58.08/9.46 tff(f5483,axiom,(
% 58.08/9.46 ! [X9 : real] : archim6421214686448440834_floor(real,X9) = the(int,aTP_Lamp_lx(real,fun(int,$o),X9))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5482_floor__real__def)).
% 58.08/9.46 tff(f99240,plain,(
% 58.08/9.46 spl5880_3583),
% 58.08/9.46 inference(avatar_split_clause,[],[f50268,f99238])).
% 58.08/9.46 tff(f99238,plain,(
% 58.08/9.46 spl5880_3583 <=> ! [X0 : rat] : archim6421214686448440834_floor(rat,X0) = the(int,aTP_Lamp_ly(rat,fun(int,$o),X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3583])])).
% 58.08/9.46 tff(f50268,plain,(
% 58.08/9.46 ( ! [X0 : rat] : (archim6421214686448440834_floor(rat,X0) = the(int,aTP_Lamp_ly(rat,fun(int,$o),X0))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f22798])).
% 58.08/9.46 tff(f22798,plain,(
% 58.08/9.46 ! [X0 : rat] : archim6421214686448440834_floor(rat,X0) = the(int,aTP_Lamp_ly(rat,fun(int,$o),X0))),
% 58.08/9.46 inference(rectify,[],[f5484])).
% 58.08/9.46 tff(f5484,axiom,(
% 58.08/9.46 ! [X9 : rat] : archim6421214686448440834_floor(rat,X9) = the(int,aTP_Lamp_ly(rat,fun(int,$o),X9))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5483_floor__rat__def)).
% 58.08/9.46 tff(f99236,plain,(
% 58.08/9.46 spl5880_3582),
% 58.08/9.46 inference(avatar_split_clause,[],[f50267,f99234])).
% 58.08/9.46 tff(f99234,plain,(
% 58.08/9.46 spl5880_3582 <=> ! [X0 : nat] : set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3582])])).
% 58.08/9.46 tff(f50267,plain,(
% 58.08/9.46 ( ! [X0 : nat] : (set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f22797])).
% 58.08/9.46 tff(f22797,plain,(
% 58.08/9.46 ! [X0 : nat] : set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))),
% 58.08/9.46 inference(rectify,[],[f6613])).
% 58.08/9.46 tff(f6613,axiom,(
% 58.08/9.46 ! [X24 : nat] : set_ord_greaterThan(nat,X24) = set_ord_atLeast(nat,aa(nat,nat,suc,X24))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6612_atLeast__Suc__greaterThan)).
% 58.08/9.46 tff(f99232,plain,(
% 58.08/9.46 spl5880_3581),
% 58.08/9.46 inference(avatar_split_clause,[],[f50055,f99229])).
% 58.08/9.46 tff(f99229,plain,(
% 58.08/9.46 spl5880_3581 <=> filterlim(nat,real,aTP_Lamp_ub(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3581])])).
% 58.08/9.46 tff(f50055,plain,(
% 58.08/9.46 filterlim(nat,real,aTP_Lamp_ub(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 inference(cnf_transformation,[],[f6291])).
% 58.08/9.46 tff(f6291,axiom,(
% 58.08/9.46 filterlim(nat,real,aTP_Lamp_ub(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6290_lim__inverse__n_H)).
% 58.08/9.46 tff(f99227,plain,(
% 58.08/9.46 spl5880_3580),
% 58.08/9.46 inference(avatar_split_clause,[],[f50054,f99224])).
% 58.08/9.46 tff(f99224,plain,(
% 58.08/9.46 spl5880_3580 <=> filterlim(nat,real,aTP_Lamp_ud(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3580])])).
% 58.08/9.46 tff(f50054,plain,(
% 58.08/9.46 filterlim(nat,real,aTP_Lamp_ud(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 inference(cnf_transformation,[],[f6293])).
% 58.08/9.46 tff(f6293,axiom,(
% 58.08/9.46 filterlim(nat,real,aTP_Lamp_ud(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6292_LIMSEQ__inverse__real__of__nat)).
% 58.08/9.46 tff(f99222,plain,(
% 58.08/9.46 spl5880_3579),
% 58.08/9.46 inference(avatar_split_clause,[],[f48208,f99220])).
% 58.08/9.46 tff(f99220,plain,(
% 58.08/9.46 spl5880_3579 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : X3] : (one_one(X0) = iG775(X0,X3,X1,X2,X4) | X1 = X2)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3579])])).
% 58.08/9.46 tff(f48208,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG775(X0,X3,X1,X2,X4) | X1 = X2) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27825])).
% 58.08/9.46 tff(f99218,plain,(
% 58.08/9.46 spl5880_3578),
% 58.08/9.46 inference(avatar_split_clause,[],[f48206,f99216])).
% 58.08/9.46 tff(f99216,plain,(
% 58.08/9.46 spl5880_3578 <=> ! [X3 : $tType,X0 : $tType,X4 : fun(X3,X0),X2 : X3,X1 : X3] : (one_one(X0) = iG776(X0,X3,X1,X2,X4) | X1 = X2)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3578])])).
% 58.08/9.46 tff(f48206,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG776(X0,X3,X1,X2,X4) | X1 = X2) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27824])).
% 58.08/9.46 tff(f99214,plain,(
% 58.08/9.46 spl5880_3577),
% 58.08/9.46 inference(avatar_split_clause,[],[f48194,f99212])).
% 58.08/9.46 tff(f99212,plain,(
% 58.08/9.46 spl5880_3577 <=> ! [X0 : $tType,X3 : $tType,X4 : X0,X5 : fun(X3,X0),X2 : X3,X1 : X3] : (iG782(X0,X3,X1,X2,X4,X5) = X4 | X1 = X2)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3577])])).
% 58.08/9.46 tff(f48194,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : X0,X5 : fun(X3,X0)] : (iG782(X0,X3,X1,X2,X4,X5) = X4 | X1 = X2) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27818])).
% 58.08/9.46 tff(f99209,plain,(
% 58.08/9.46 spl5880_3576),
% 58.08/9.46 inference(avatar_split_clause,[],[f46787,f99207])).
% 58.08/9.46 tff(f46787,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1485(X0,X1) = iG1486(X0,X1,X2)) | zero_zero(nat) = X0) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27521])).
% 58.08/9.46 tff(f27521,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1485(X0,X1) = iG1486(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1483(X5) = iG1486(X3,X4,X5)) | zero_zero(nat) != X3)),
% 58.08/9.46 inference(ennf_transformation,[],[f21017])).
% 58.08/9.46 tff(f21017,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1485(X0,X1) = iG1486(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1483(X5) = iG1486(X3,X4,X5)))),
% 58.08/9.46 inference(flattening,[],[f21016])).
% 58.08/9.46 tff(f21016,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1485(X0,X1) = iG1486(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1483(X5) = iG1486(X3,X4,X5)))),
% 58.08/9.46 inference(rectify,[],[f17980])).
% 58.08/9.46 tff(f17980,plain,(
% 58.08/9.46 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG1485(X1,X4) = iG1486(X1,X4,X3))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (bG1483(X3) = iG1486(X1,X4,X3)))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1486])])).
% 58.08/9.46 tff(f99204,plain,(
% 58.08/9.46 spl5880_3575),
% 58.08/9.46 inference(avatar_split_clause,[],[f46710,f99202])).
% 58.08/9.46 tff(f46710,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG1521(X0,X1) = iG1522(X0,X1,X2)) | zero_zero(nat) = X0) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27507])).
% 58.08/9.46 tff(f27507,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1521(X0,X1) = iG1522(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1519(X5) = iG1522(X3,X4,X5)) | zero_zero(nat) != X3)),
% 58.08/9.46 inference(ennf_transformation,[],[f20958])).
% 58.08/9.46 tff(f20958,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1521(X0,X1) = iG1522(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1519(X5) = iG1522(X3,X4,X5)))),
% 58.08/9.46 inference(flattening,[],[f20957])).
% 58.08/9.46 tff(f20957,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1521(X0,X1) = iG1522(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG1519(X5) = iG1522(X3,X4,X5)))),
% 58.08/9.46 inference(rectify,[],[f18024])).
% 58.08/9.46 tff(f18024,plain,(
% 58.08/9.46 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG1521(X1,X4) = iG1522(X1,X4,X3))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (bG1519(X3) = iG1522(X1,X4,X3)))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1522])])).
% 58.08/9.46 tff(f99200,plain,(
% 58.08/9.46 spl5880_3574),
% 58.08/9.46 inference(avatar_split_clause,[],[f46152,f99198])).
% 58.08/9.46 tff(f99198,plain,(
% 58.08/9.46 spl5880_3574 <=> ! [X2 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X3 : nat,X1 : nat] : (iG1815(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3574])])).
% 58.08/9.46 tff(f46152,plain,(
% 58.08/9.46 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1815(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27322])).
% 58.08/9.46 tff(f27322,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1815(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X10,X8,X9)),X8)))) = iG1815(X6,X7,X8,X9,X10,X11) | X6 != X7)),
% 58.08/9.46 inference(ennf_transformation,[],[f20527])).
% 58.08/9.46 tff(f20527,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (X0 != X1 => iG1815(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X10,X8,X9)),X8)))) = iG1815(X6,X7,X8,X9,X10,X11))),
% 58.08/9.46 inference(flattening,[],[f20526])).
% 58.08/9.46 tff(f20526,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (~X0 = X1 => iG1815(X0,X1,X2,X3,X4,X5) = X0) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X10,X8,X9)),X8)))) = iG1815(X6,X7,X8,X9,X10,X11))),
% 58.08/9.46 inference(rectify,[],[f20363])).
% 58.08/9.46 tff(f20363,plain,(
% 58.08/9.46 ! [X2 : nat,X1 : nat,X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat] : (~X1 = X2 => iG1815(X2,X1,X4,X5,X6,X3) = X2) & ! [X2 : nat,X1 : nat,X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X3 : nat] : (X1 = X2 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1810(X6,X4,X5)),X4)))) = iG1815(X2,X1,X4,X5,X6,X3))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1815])])).
% 58.08/9.46 tff(f99196,plain,(
% 58.08/9.46 spl5880_3573),
% 58.08/9.46 inference(avatar_split_clause,[],[f46140,f99194])).
% 58.08/9.46 tff(f99194,plain,(
% 58.08/9.46 spl5880_3573 <=> ! [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X1 : nat] : (iG1823(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3573])])).
% 58.08/9.46 tff(f46140,plain,(
% 58.08/9.46 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1823(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27318])).
% 58.08/9.46 tff(f27318,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1823(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X10,X8,X9)),X8)))) = iG1823(X6,X7,X8,X9,X10,X11) | X6 != X7)),
% 58.08/9.46 inference(ennf_transformation,[],[f20515])).
% 58.08/9.46 tff(f20515,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (X0 != X1 => iG1823(X0,X1,X2,X3,X4,X5) = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X10,X8,X9)),X8)))) = iG1823(X6,X7,X8,X9,X10,X11))),
% 58.08/9.46 inference(flattening,[],[f20514])).
% 58.08/9.46 tff(f20514,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (~X0 = X1 => iG1823(X0,X1,X2,X3,X4,X5) = X1) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : nat] : (X6 = X7 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X11,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X10,X8,X9)),X8)))) = iG1823(X6,X7,X8,X9,X10,X11))),
% 58.08/9.46 inference(rectify,[],[f20387])).
% 58.08/9.46 tff(f20387,plain,(
% 58.08/9.46 ! [X4 : nat,X2 : nat,X5 : nat,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1823(X4,X2,X5,X8,X7,X3) = X2) & ! [X4 : nat,X2 : nat,X5 : nat,X8 : nat,X7 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,lG1818(X7,X5,X8)),X5)))) = iG1823(X4,X2,X5,X8,X7,X3))),
% 58.08/9.46 introduced(fool_ite_definition,[new_symbols(definition,[iG1823])])).
% 58.08/9.46 tff(f99192,plain,(
% 58.08/9.46 spl5880_3572),
% 58.08/9.46 inference(avatar_split_clause,[],[f46120,f99190])).
% 58.08/9.46 tff(f99190,plain,(
% 58.08/9.46 spl5880_3572 <=> ! [X2 : nat,X3 : vEBT_VEBT,X4 : list(vEBT_VEBT),X0 : nat,X5 : nat,X1 : nat] : (iG1835(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3572])])).
% 58.08/9.46 tff(f46120,plain,(
% 58.08/9.46 ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : nat] : (iG1835(X0,X1,X2,X3,X4,X5) = X1 | X0 = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27310])).
% 58.08/9.46 tff(f99188,plain,(
% 58.08/9.46 spl5880_3571),
% 58.08/9.46 inference(avatar_split_clause,[],[f46109,f99186])).
% 58.08/9.46 tff(f99186,plain,(
% 58.08/9.46 spl5880_3571 <=> ! [X2 : vEBT_VEBT,X4 : nat,X0 : nat,X5 : nat,X3 : list(vEBT_VEBT),X1 : nat] : (iG1841(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3571])])).
% 58.08/9.46 tff(f46109,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : nat] : (iG1841(X0,X1,X2,X3,X4,X5) = X0 | X0 = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f27305])).
% 58.08/9.46 tff(f99017,plain,(
% 58.08/9.46 spl5880_3570 | ~spl5880_1536 | ~spl5880_3513),
% 58.08/9.46 inference(avatar_split_clause,[],[f98371,f98368,f86300,f99015])).
% 58.08/9.46 tff(f99015,plain,(
% 58.08/9.46 spl5880_3570 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG714($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG714($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3570])])).
% 58.08/9.46 tff(f98368,plain,(
% 58.08/9.46 spl5880_3513 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG1228($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3513])])).
% 58.08/9.46 tff(f98371,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG714($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG714($true),X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_3513)),
% 58.08/9.46 inference(forward_demodulation,[],[f98369,f86302])).
% 58.08/9.46 tff(f98369,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG1228($true),X1,X2),X3)) ) | ~spl5880_3513),
% 58.08/9.46 inference(avatar_component_clause,[],[f98368])).
% 58.08/9.46 tff(f99013,plain,(
% 58.08/9.46 spl5880_3569 | ~spl5880_1536 | ~spl5880_3512),
% 58.08/9.46 inference(avatar_split_clause,[],[f98366,f98363,f86300,f99011])).
% 58.08/9.46 tff(f99011,plain,(
% 58.08/9.46 spl5880_3569 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG714($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG714($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3569])])).
% 58.08/9.46 tff(f98363,plain,(
% 58.08/9.46 spl5880_3512 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG1228($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3512])])).
% 58.08/9.46 tff(f98366,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG714($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG714($true),X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_3512)),
% 58.08/9.46 inference(forward_demodulation,[],[f98364,f86302])).
% 58.08/9.46 tff(f98364,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG1228($true),X1,X2),X3)) ) | ~spl5880_3512),
% 58.08/9.46 inference(avatar_component_clause,[],[f98363])).
% 58.08/9.46 tff(f99009,plain,(
% 58.08/9.46 spl5880_3568 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3511),
% 58.08/9.46 inference(avatar_split_clause,[],[f98361,f98357,f86336,f86300,f99007])).
% 58.08/9.46 tff(f99007,plain,(
% 58.08/9.46 spl5880_3568 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG714($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG717($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3568])])).
% 58.08/9.46 tff(f98357,plain,(
% 58.08/9.46 spl5880_3511 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG894($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3511])])).
% 58.08/9.46 tff(f98361,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG714($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3511)),
% 58.08/9.46 inference(forward_demodulation,[],[f98360,f86302])).
% 58.08/9.46 tff(f98360,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1544 | ~spl5880_3511)),
% 58.08/9.46 inference(forward_demodulation,[],[f98358,f86338])).
% 58.08/9.46 tff(f98358,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG894($true),X1,X2),X3)) ) | ~spl5880_3511),
% 58.08/9.46 inference(avatar_component_clause,[],[f98357])).
% 58.08/9.46 tff(f99005,plain,(
% 58.08/9.46 spl5880_3567 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3510),
% 58.08/9.46 inference(avatar_split_clause,[],[f98355,f98351,f86336,f86300,f99003])).
% 58.08/9.46 tff(f99003,plain,(
% 58.08/9.46 spl5880_3567 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG714($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG717($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3567])])).
% 58.08/9.46 tff(f98351,plain,(
% 58.08/9.46 spl5880_3510 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG894($true),X1,X2),X3)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3510])])).
% 58.08/9.46 tff(f98355,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG714($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3510)),
% 58.08/9.46 inference(forward_demodulation,[],[f98354,f86302])).
% 58.08/9.46 tff(f98354,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1544 | ~spl5880_3510)),
% 58.08/9.46 inference(forward_demodulation,[],[f98352,f86338])).
% 58.08/9.46 tff(f98352,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG894($true),X1,X2),X3)) ) | ~spl5880_3510),
% 58.08/9.46 inference(avatar_component_clause,[],[f98351])).
% 58.08/9.46 tff(f99001,plain,(
% 58.08/9.46 spl5880_3566 | ~spl5880_1536 | ~spl5880_3509),
% 58.08/9.46 inference(avatar_split_clause,[],[f98349,f98346,f86300,f98999])).
% 58.08/9.46 tff(f98999,plain,(
% 58.08/9.46 spl5880_3566 <=> ! [X2 : nat,X0 : $o,X1 : $o] : (iG714($true) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3566])])).
% 58.08/9.46 tff(f98346,plain,(
% 58.08/9.46 spl5880_3509 <=> ! [X2 : nat,X0 : $o,X1 : $o] : (iG1228($true) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3509])])).
% 58.08/9.46 tff(f98349,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG714($true) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2)) ) | (~spl5880_1536 | ~spl5880_3509)),
% 58.08/9.46 inference(forward_demodulation,[],[f98347,f86302])).
% 58.08/9.46 tff(f98347,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG1228($true) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2)) ) | ~spl5880_3509),
% 58.08/9.46 inference(avatar_component_clause,[],[f98346])).
% 58.08/9.46 tff(f98997,plain,(
% 58.08/9.46 spl5880_3565 | ~spl5880_1536 | ~spl5880_3508),
% 58.08/9.46 inference(avatar_split_clause,[],[f98344,f98341,f86300,f98995])).
% 58.08/9.46 tff(f98995,plain,(
% 58.08/9.46 spl5880_3565 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG714($true)) = X0 | ~sP2151(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3565])])).
% 58.08/9.46 tff(f98341,plain,(
% 58.08/9.46 spl5880_3508 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2151(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3508])])).
% 58.08/9.46 tff(f98344,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG714($true)) = X0 | ~sP2151(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3508)),
% 58.08/9.46 inference(forward_demodulation,[],[f98342,f86302])).
% 58.08/9.46 tff(f98342,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2151(X0,X1)) ) | ~spl5880_3508),
% 58.08/9.46 inference(avatar_component_clause,[],[f98341])).
% 58.08/9.46 tff(f98993,plain,(
% 58.08/9.46 spl5880_3564 | ~spl5880_1536 | ~spl5880_3507),
% 58.08/9.46 inference(avatar_split_clause,[],[f98339,f98336,f86300,f98991])).
% 58.08/9.46 tff(f98991,plain,(
% 58.08/9.46 spl5880_3564 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG714($true)) = X0 | ~sP2152(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3564])])).
% 58.08/9.46 tff(f98336,plain,(
% 58.08/9.46 spl5880_3507 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2152(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3507])])).
% 58.08/9.46 tff(f98339,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG714($true)) = X0 | ~sP2152(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3507)),
% 58.08/9.46 inference(forward_demodulation,[],[f98337,f86302])).
% 58.08/9.46 tff(f98337,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2152(X0,X1)) ) | ~spl5880_3507),
% 58.08/9.46 inference(avatar_component_clause,[],[f98336])).
% 58.08/9.46 tff(f98989,plain,(
% 58.08/9.46 spl5880_3563 | ~spl5880_1544 | ~spl5880_3506),
% 58.08/9.46 inference(avatar_split_clause,[],[f98334,f98331,f86336,f98987])).
% 58.08/9.46 tff(f98987,plain,(
% 58.08/9.46 spl5880_3563 <=> ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : aa(nat,X0,rec_nat(X0,X1,X2),iG717($true)) = X1),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3563])])).
% 58.08/9.46 tff(f98331,plain,(
% 58.08/9.46 spl5880_3506 <=> ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : aa(nat,X0,rec_nat(X0,X1,X2),iG894($true)) = X1),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3506])])).
% 58.08/9.46 tff(f98334,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),iG717($true)) = X1) ) | (~spl5880_1544 | ~spl5880_3506)),
% 58.08/9.46 inference(forward_demodulation,[],[f98332,f86338])).
% 58.08/9.46 tff(f98332,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),iG894($true)) = X1) ) | ~spl5880_3506),
% 58.08/9.46 inference(avatar_component_clause,[],[f98331])).
% 58.08/9.46 tff(f98985,plain,(
% 58.08/9.46 spl5880_3562 | ~spl5880_1544 | ~spl5880_3505),
% 58.08/9.46 inference(avatar_split_clause,[],[f98329,f98326,f86336,f98983])).
% 58.08/9.46 tff(f98983,plain,(
% 58.08/9.46 spl5880_3562 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),iG717($true),X0,X1),X2)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3562])])).
% 58.08/9.46 tff(f98326,plain,(
% 58.08/9.46 spl5880_3505 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),iG894($true),X0,X1),X2)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3505])])).
% 58.08/9.46 tff(f98329,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),iG717($true),X0,X1),X2)) ) | (~spl5880_1544 | ~spl5880_3505)),
% 58.08/9.46 inference(forward_demodulation,[],[f98327,f86338])).
% 58.08/9.46 tff(f98327,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),iG894($true),X0,X1),X2)) ) | ~spl5880_3505),
% 58.08/9.46 inference(avatar_component_clause,[],[f98326])).
% 58.08/9.46 tff(f98981,plain,(
% 58.08/9.46 spl5880_3561 | ~spl5880_1544 | ~spl5880_3504),
% 58.08/9.46 inference(avatar_split_clause,[],[f98324,f98321,f86336,f98979])).
% 58.08/9.46 tff(f98321,plain,(
% 58.08/9.46 spl5880_3504 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG894($true))) | sP2120(X1,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3504])])).
% 58.08/9.46 tff(f98324,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG717($true))) | sP2120(X1,X0)) ) | (~spl5880_1544 | ~spl5880_3504)),
% 58.08/9.46 inference(forward_demodulation,[],[f98322,f86338])).
% 58.08/9.46 tff(f98322,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG894($true))) | sP2120(X1,X0)) ) | ~spl5880_3504),
% 58.08/9.46 inference(avatar_component_clause,[],[f98321])).
% 58.08/9.46 tff(f98977,plain,(
% 58.08/9.46 spl5880_3560 | ~spl5880_1544 | ~spl5880_3503),
% 58.08/9.46 inference(avatar_split_clause,[],[f98319,f98316,f86336,f98975])).
% 58.08/9.46 tff(f98975,plain,(
% 58.08/9.46 spl5880_3560 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,iG717($true))) | ~sP2118(X1,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3560])])).
% 58.08/9.46 tff(f98316,plain,(
% 58.08/9.46 spl5880_3503 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,iG894($true))) | ~sP2118(X1,X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3503])])).
% 58.08/9.46 tff(f98319,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,iG717($true))) | ~sP2118(X1,X0)) ) | (~spl5880_1544 | ~spl5880_3503)),
% 58.08/9.46 inference(forward_demodulation,[],[f98317,f86338])).
% 58.08/9.46 tff(f98317,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,iG894($true))) | ~sP2118(X1,X0)) ) | ~spl5880_3503),
% 58.08/9.46 inference(avatar_component_clause,[],[f98316])).
% 58.08/9.46 tff(f98973,plain,(
% 58.08/9.46 spl5880_3559 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3502),
% 58.08/9.46 inference(avatar_split_clause,[],[f98314,f98310,f86336,f86300,f98971])).
% 58.08/9.46 tff(f98971,plain,(
% 58.08/9.46 spl5880_3559 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG714($true) = X1 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3559])])).
% 58.08/9.46 tff(f98310,plain,(
% 58.08/9.46 spl5880_3502 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3502])])).
% 58.08/9.46 tff(f98314,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG714($true) = X1 | ~sP2116(X0,X1)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3502)),
% 58.08/9.46 inference(forward_demodulation,[],[f98313,f86338])).
% 58.08/9.46 tff(f98313,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X1 | iG894($true) = X1 | ~sP2116(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3502)),
% 58.08/9.46 inference(forward_demodulation,[],[f98311,f86302])).
% 58.08/9.46 tff(f98311,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2116(X0,X1)) ) | ~spl5880_3502),
% 58.08/9.46 inference(avatar_component_clause,[],[f98310])).
% 58.08/9.46 tff(f98969,plain,(
% 58.08/9.46 spl5880_3558 | ~spl5880_1544 | ~spl5880_3501),
% 58.08/9.46 inference(avatar_split_clause,[],[f98308,f98304,f86336,f98967])).
% 58.08/9.46 tff(f98967,plain,(
% 58.08/9.46 spl5880_3558 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG717($true) = X0 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3558])])).
% 58.08/9.46 tff(f98304,plain,(
% 58.08/9.46 spl5880_3501 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3501])])).
% 58.08/9.46 tff(f98308,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG717($true) = X0 | ~sP2116(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3501)),
% 58.08/9.46 inference(forward_demodulation,[],[f98307,f86338])).
% 58.08/9.46 tff(f98307,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG894($true) = X1 | ~sP2116(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3501)),
% 58.08/9.46 inference(forward_demodulation,[],[f98305,f86338])).
% 58.08/9.46 tff(f98305,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2116(X0,X1)) ) | ~spl5880_3501),
% 58.08/9.46 inference(avatar_component_clause,[],[f98304])).
% 58.08/9.46 tff(f98965,plain,(
% 58.08/9.46 spl5880_3557 | ~spl5880_1536 | ~spl5880_3500),
% 58.08/9.46 inference(avatar_split_clause,[],[f98302,f98298,f86300,f98963])).
% 58.08/9.46 tff(f98963,plain,(
% 58.08/9.46 spl5880_3557 <=> ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG714($true) = X1 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3557])])).
% 58.08/9.46 tff(f98298,plain,(
% 58.08/9.46 spl5880_3500 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3500])])).
% 58.08/9.46 tff(f98302,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG714($true) = X1 | ~sP2116(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3500)),
% 58.08/9.46 inference(forward_demodulation,[],[f98301,f86302])).
% 58.08/9.46 tff(f98301,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X1 | iG1228($true) = X0 | ~sP2116(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3500)),
% 58.08/9.46 inference(forward_demodulation,[],[f98299,f86302])).
% 58.08/9.46 tff(f98299,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2116(X0,X1)) ) | ~spl5880_3500),
% 58.08/9.46 inference(avatar_component_clause,[],[f98298])).
% 58.08/9.46 tff(f98961,plain,(
% 58.08/9.46 spl5880_3556 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3499),
% 58.08/9.46 inference(avatar_split_clause,[],[f98296,f98292,f86336,f86300,f98959])).
% 58.08/9.46 tff(f98959,plain,(
% 58.08/9.46 spl5880_3556 <=> ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG717($true) = X0 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3556])])).
% 58.08/9.46 tff(f98292,plain,(
% 58.08/9.46 spl5880_3499 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2116(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3499])])).
% 58.08/9.46 tff(f98296,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG717($true) = X0 | ~sP2116(X0,X1)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3499)),
% 58.08/9.46 inference(forward_demodulation,[],[f98295,f86302])).
% 58.08/9.46 tff(f98295,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG1228($true) = X0 | ~sP2116(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3499)),
% 58.08/9.46 inference(forward_demodulation,[],[f98293,f86338])).
% 58.08/9.46 tff(f98293,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2116(X0,X1)) ) | ~spl5880_3499),
% 58.08/9.46 inference(avatar_component_clause,[],[f98292])).
% 58.08/9.46 tff(f98957,plain,(
% 58.08/9.46 spl5880_3555 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3498),
% 58.08/9.46 inference(avatar_split_clause,[],[f98290,f98286,f86336,f86300,f98955])).
% 58.08/9.46 tff(f98955,plain,(
% 58.08/9.46 spl5880_3555 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG714($true) = X1 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3555])])).
% 58.08/9.46 tff(f98286,plain,(
% 58.08/9.46 spl5880_3498 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3498])])).
% 58.08/9.46 tff(f98290,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG714($true) = X1 | ~sP2115(X0,X1)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3498)),
% 58.08/9.46 inference(forward_demodulation,[],[f98289,f86338])).
% 58.08/9.46 tff(f98289,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X1 | iG894($true) = X1 | ~sP2115(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3498)),
% 58.08/9.46 inference(forward_demodulation,[],[f98287,f86302])).
% 58.08/9.46 tff(f98287,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2115(X0,X1)) ) | ~spl5880_3498),
% 58.08/9.46 inference(avatar_component_clause,[],[f98286])).
% 58.08/9.46 tff(f98953,plain,(
% 58.08/9.46 spl5880_3554 | ~spl5880_1544 | ~spl5880_3497),
% 58.08/9.46 inference(avatar_split_clause,[],[f98284,f98280,f86336,f98951])).
% 58.08/9.46 tff(f98951,plain,(
% 58.08/9.46 spl5880_3554 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG717($true) = X0 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3554])])).
% 58.08/9.46 tff(f98280,plain,(
% 58.08/9.46 spl5880_3497 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3497])])).
% 58.08/9.46 tff(f98284,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X1 | iG717($true) = X0 | ~sP2115(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3497)),
% 58.08/9.46 inference(forward_demodulation,[],[f98283,f86338])).
% 58.08/9.46 tff(f98283,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG894($true) = X1 | ~sP2115(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3497)),
% 58.08/9.46 inference(forward_demodulation,[],[f98281,f86338])).
% 58.08/9.46 tff(f98281,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2115(X0,X1)) ) | ~spl5880_3497),
% 58.08/9.46 inference(avatar_component_clause,[],[f98280])).
% 58.08/9.46 tff(f98949,plain,(
% 58.08/9.46 spl5880_3553 | ~spl5880_1536 | ~spl5880_3496),
% 58.08/9.46 inference(avatar_split_clause,[],[f98278,f98274,f86300,f98947])).
% 58.08/9.46 tff(f98947,plain,(
% 58.08/9.46 spl5880_3553 <=> ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG714($true) = X1 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3553])])).
% 58.08/9.46 tff(f98274,plain,(
% 58.08/9.46 spl5880_3496 <=> ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3496])])).
% 58.08/9.46 tff(f98278,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG714($true) = X1 | ~sP2115(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3496)),
% 58.08/9.46 inference(forward_demodulation,[],[f98277,f86302])).
% 58.08/9.46 tff(f98277,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X1 | iG1228($true) = X0 | ~sP2115(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3496)),
% 58.08/9.46 inference(forward_demodulation,[],[f98275,f86302])).
% 58.08/9.46 tff(f98275,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2115(X0,X1)) ) | ~spl5880_3496),
% 58.08/9.46 inference(avatar_component_clause,[],[f98274])).
% 58.08/9.46 tff(f98945,plain,(
% 58.08/9.46 spl5880_3552 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3495),
% 58.08/9.46 inference(avatar_split_clause,[],[f98272,f98268,f86336,f86300,f98943])).
% 58.08/9.46 tff(f98943,plain,(
% 58.08/9.46 spl5880_3552 <=> ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG717($true) = X0 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3552])])).
% 58.08/9.46 tff(f98268,plain,(
% 58.08/9.46 spl5880_3495 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2115(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3495])])).
% 58.08/9.46 tff(f98272,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG714($true) = X0 | iG717($true) = X0 | ~sP2115(X0,X1)) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3495)),
% 58.08/9.46 inference(forward_demodulation,[],[f98271,f86302])).
% 58.08/9.46 tff(f98271,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | iG1228($true) = X0 | ~sP2115(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3495)),
% 58.08/9.46 inference(forward_demodulation,[],[f98269,f86338])).
% 58.08/9.46 tff(f98269,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2115(X0,X1)) ) | ~spl5880_3495),
% 58.08/9.46 inference(avatar_component_clause,[],[f98268])).
% 58.08/9.46 tff(f98930,plain,(
% 58.08/9.46 spl5880_3551 | ~spl5880_1536 | ~spl5880_3492),
% 58.08/9.46 inference(avatar_split_clause,[],[f98257,f98254,f86300,f98928])).
% 58.08/9.46 tff(f98928,plain,(
% 58.08/9.46 spl5880_3551 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG714($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3551])])).
% 58.08/9.46 tff(f98254,plain,(
% 58.08/9.46 spl5880_3492 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG1228($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3492])])).
% 58.08/9.46 tff(f98257,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_3492)),
% 58.08/9.46 inference(forward_demodulation,[],[f98255,f86302])).
% 58.08/9.46 tff(f98255,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG1228($true))) ) | ~spl5880_3492),
% 58.08/9.46 inference(avatar_component_clause,[],[f98254])).
% 58.08/9.46 tff(f98926,plain,(
% 58.08/9.46 spl5880_3550 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3491),
% 58.08/9.46 inference(avatar_split_clause,[],[f98252,f98248,f86336,f86300,f98924])).
% 58.08/9.46 tff(f98924,plain,(
% 58.08/9.46 spl5880_3550 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG717($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3550])])).
% 58.08/9.46 tff(f98248,plain,(
% 58.08/9.46 spl5880_3491 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG894($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3491])])).
% 58.08/9.46 tff(f98252,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3491)),
% 58.08/9.46 inference(forward_demodulation,[],[f98251,f86302])).
% 58.08/9.46 tff(f98251,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3491)),
% 58.08/9.46 inference(forward_demodulation,[],[f98249,f86338])).
% 58.08/9.46 tff(f98249,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG894($true))) ) | ~spl5880_3491),
% 58.08/9.46 inference(avatar_component_clause,[],[f98248])).
% 58.08/9.46 tff(f98922,plain,(
% 58.08/9.46 spl5880_3549 | ~spl5880_1536 | ~spl5880_3490),
% 58.08/9.46 inference(avatar_split_clause,[],[f98246,f98243,f86300,f98920])).
% 58.08/9.46 tff(f98920,plain,(
% 58.08/9.46 spl5880_3549 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG714($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3549])])).
% 58.08/9.46 tff(f98243,plain,(
% 58.08/9.46 spl5880_3490 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG1228($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3490])])).
% 58.08/9.46 tff(f98246,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_3490)),
% 58.08/9.46 inference(forward_demodulation,[],[f98244,f86302])).
% 58.08/9.46 tff(f98244,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG1228($true))) ) | ~spl5880_3490),
% 58.08/9.46 inference(avatar_component_clause,[],[f98243])).
% 58.08/9.46 tff(f98918,plain,(
% 58.08/9.46 spl5880_3548 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3489),
% 58.08/9.46 inference(avatar_split_clause,[],[f98241,f98237,f86336,f86300,f98916])).
% 58.08/9.46 tff(f98916,plain,(
% 58.08/9.46 spl5880_3548 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG717($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3548])])).
% 58.08/9.46 tff(f98237,plain,(
% 58.08/9.46 spl5880_3489 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG894($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3489])])).
% 58.08/9.46 tff(f98241,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3489)),
% 58.08/9.46 inference(forward_demodulation,[],[f98240,f86302])).
% 58.08/9.46 tff(f98240,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3489)),
% 58.08/9.46 inference(forward_demodulation,[],[f98238,f86338])).
% 58.08/9.46 tff(f98238,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG894($true))) ) | ~spl5880_3489),
% 58.08/9.46 inference(avatar_component_clause,[],[f98237])).
% 58.08/9.46 tff(f98914,plain,(
% 58.08/9.46 spl5880_3547 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3488),
% 58.08/9.46 inference(avatar_split_clause,[],[f98235,f98231,f86336,f86300,f98912])).
% 58.08/9.46 tff(f98912,plain,(
% 58.08/9.46 spl5880_3547 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG717($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3547])])).
% 58.08/9.46 tff(f98231,plain,(
% 58.08/9.46 spl5880_3488 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG894($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3488])])).
% 58.08/9.46 tff(f98235,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3488)),
% 58.08/9.46 inference(forward_demodulation,[],[f98234,f86302])).
% 58.08/9.46 tff(f98234,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3488)),
% 58.08/9.46 inference(forward_demodulation,[],[f98232,f86338])).
% 58.08/9.46 tff(f98232,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG894($true))) ) | ~spl5880_3488),
% 58.08/9.46 inference(avatar_component_clause,[],[f98231])).
% 58.08/9.46 tff(f98910,plain,(
% 58.08/9.46 spl5880_3546 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3487),
% 58.08/9.46 inference(avatar_split_clause,[],[f98229,f98225,f86336,f86300,f98908])).
% 58.08/9.46 tff(f98908,plain,(
% 58.08/9.46 spl5880_3546 <=> ! [X0 : $o,X1 : $o] : iG714($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG717($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3546])])).
% 58.08/9.46 tff(f98225,plain,(
% 58.08/9.46 spl5880_3487 <=> ! [X0 : $o,X1 : $o] : iG1228($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG894($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3487])])).
% 58.08/9.46 tff(f98229,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG714($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3487)),
% 58.08/9.46 inference(forward_demodulation,[],[f98228,f86302])).
% 58.08/9.46 tff(f98228,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3487)),
% 58.08/9.46 inference(forward_demodulation,[],[f98226,f86338])).
% 58.08/9.46 tff(f98226,plain,(
% 58.08/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG894($true))) ) | ~spl5880_3487),
% 58.08/9.46 inference(avatar_component_clause,[],[f98225])).
% 58.08/9.46 tff(f98904,plain,(
% 58.08/9.46 spl5880_3545 | ~spl5880_1544 | ~spl5880_3485),
% 58.08/9.46 inference(avatar_split_clause,[],[f98219,f98216,f86336,f98902])).
% 58.08/9.46 tff(f98902,plain,(
% 58.08/9.46 spl5880_3545 <=> ! [X0 : $tType,X1 : option(X0)] : aa(option(X0),nat,size_size(option(X0)),X1) != iG717($true)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3545])])).
% 58.08/9.46 tff(f98216,plain,(
% 58.08/9.46 spl5880_3485 <=> ! [X0 : $tType,X1 : option(X0)] : aa(option(X0),nat,size_size(option(X0)),X1) != iG894($true)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3485])])).
% 58.08/9.46 tff(f98219,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : option(X0)] : (aa(option(X0),nat,size_size(option(X0)),X1) != iG717($true)) ) | (~spl5880_1544 | ~spl5880_3485)),
% 58.08/9.46 inference(forward_demodulation,[],[f98217,f86338])).
% 58.08/9.46 tff(f98217,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X1 : option(X0)] : (aa(option(X0),nat,size_size(option(X0)),X1) != iG894($true)) ) | ~spl5880_3485),
% 58.08/9.46 inference(avatar_component_clause,[],[f98216])).
% 58.08/9.46 tff(f98900,plain,(
% 58.08/9.46 spl5880_3544 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3484),
% 58.08/9.46 inference(avatar_split_clause,[],[f98214,f98209,f86336,f86300,f98897])).
% 58.08/9.46 tff(f98897,plain,(
% 58.08/9.46 spl5880_3544 <=> ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),iG717($true)))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3544])])).
% 58.08/9.46 tff(f98209,plain,(
% 58.08/9.46 spl5880_3484 <=> ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG894($true)))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3484])])).
% 58.08/9.46 tff(f98214,plain,(
% 58.08/9.46 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG714($true)),iG717($true))) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3484)),
% 58.08/9.46 inference(forward_demodulation,[],[f98213,f86302])).
% 58.08/9.46 tff(f98213,plain,(
% 58.08/9.46 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG717($true))) | (~spl5880_1544 | ~spl5880_3484)),
% 58.08/9.46 inference(forward_demodulation,[],[f98211,f86338])).
% 58.08/9.46 tff(f98211,plain,(
% 58.08/9.46 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG894($true))) | ~spl5880_3484),
% 58.08/9.46 inference(avatar_component_clause,[],[f98209])).
% 58.08/9.46 tff(f98895,plain,(
% 58.08/9.46 spl5880_3543 | ~spl5880_1536 | ~spl5880_3483),
% 58.08/9.46 inference(avatar_split_clause,[],[f98207,f98203,f86300,f98893])).
% 58.08/9.46 tff(f98893,plain,(
% 58.08/9.46 spl5880_3543 <=> ! [X0 : set(nat)] : (gcd_Gcd(nat,X0) = iG714($true) | ~member(nat,iG714($true),X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3543])])).
% 58.08/9.46 tff(f98203,plain,(
% 58.08/9.46 spl5880_3483 <=> ! [X0 : set(nat)] : (~member(nat,iG1228($true),X0) | gcd_Gcd(nat,X0) = iG1228($true))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3483])])).
% 58.08/9.46 tff(f98207,plain,(
% 58.08/9.46 ( ! [X0 : set(nat)] : (gcd_Gcd(nat,X0) = iG714($true) | ~member(nat,iG714($true),X0)) ) | (~spl5880_1536 | ~spl5880_3483)),
% 58.08/9.46 inference(forward_demodulation,[],[f98206,f86302])).
% 58.08/9.46 tff(f98206,plain,(
% 58.08/9.46 ( ! [X0 : set(nat)] : (~member(nat,iG714($true),X0) | gcd_Gcd(nat,X0) = iG1228($true)) ) | (~spl5880_1536 | ~spl5880_3483)),
% 58.08/9.46 inference(forward_demodulation,[],[f98204,f86302])).
% 58.08/9.46 tff(f98204,plain,(
% 58.08/9.46 ( ! [X0 : set(nat)] : (~member(nat,iG1228($true),X0) | gcd_Gcd(nat,X0) = iG1228($true)) ) | ~spl5880_3483),
% 58.08/9.46 inference(avatar_component_clause,[],[f98203])).
% 58.08/9.46 tff(f98877,plain,(
% 58.08/9.46 spl5880_3542 | ~spl5880_1544 | ~spl5880_3480),
% 58.08/9.46 inference(avatar_split_clause,[],[f98193,f98190,f86336,f98875])).
% 58.08/9.46 tff(f98875,plain,(
% 58.08/9.46 spl5880_3542 <=> ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG717($true)) | ~semiring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3542])])).
% 58.08/9.46 tff(f98190,plain,(
% 58.08/9.46 spl5880_3480 <=> ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3480])])).
% 58.08/9.46 tff(f98193,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG717($true)) | ~semiring_1(X0)) ) | (~spl5880_1544 | ~spl5880_3480)),
% 58.08/9.46 inference(forward_demodulation,[],[f98191,f86338])).
% 58.08/9.46 tff(f98191,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_1(X0)) ) | ~spl5880_3480),
% 58.08/9.46 inference(avatar_component_clause,[],[f98190])).
% 58.08/9.46 tff(f98873,plain,(
% 58.08/9.46 spl5880_3541 | ~spl5880_1536 | ~spl5880_3479),
% 58.08/9.46 inference(avatar_split_clause,[],[f98188,f98185,f86300,f98871])).
% 58.08/9.46 tff(f98871,plain,(
% 58.08/9.46 spl5880_3541 <=> ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG714($true)) | ~semiring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3541])])).
% 58.08/9.46 tff(f98185,plain,(
% 58.08/9.46 spl5880_3479 <=> ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_1(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3479])])).
% 58.08/9.46 tff(f98188,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG714($true)) | ~semiring_1(X0)) ) | (~spl5880_1536 | ~spl5880_3479)),
% 58.08/9.46 inference(forward_demodulation,[],[f98186,f86302])).
% 58.08/9.46 tff(f98186,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_1(X0)) ) | ~spl5880_3479),
% 58.08/9.46 inference(avatar_component_clause,[],[f98185])).
% 58.08/9.46 tff(f98869,plain,(
% 58.08/9.46 spl5880_3540 | ~spl5880_1544 | ~spl5880_3478),
% 58.08/9.46 inference(avatar_split_clause,[],[f98183,f98180,f86336,f98867])).
% 58.08/9.46 tff(f98867,plain,(
% 58.08/9.46 spl5880_3540 <=> ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG717($true)) | ~semiring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3540])])).
% 58.08/9.46 tff(f98180,plain,(
% 58.08/9.46 spl5880_3478 <=> ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3478])])).
% 58.08/9.46 tff(f98183,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG717($true)) | ~semiring_char_0(X0)) ) | (~spl5880_1544 | ~spl5880_3478)),
% 58.08/9.46 inference(forward_demodulation,[],[f98181,f86338])).
% 58.08/9.46 tff(f98181,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_char_0(X0)) ) | ~spl5880_3478),
% 58.08/9.46 inference(avatar_component_clause,[],[f98180])).
% 58.08/9.46 tff(f98865,plain,(
% 58.08/9.46 spl5880_3539 | ~spl5880_1536 | ~spl5880_3477),
% 58.08/9.46 inference(avatar_split_clause,[],[f98178,f98175,f86300,f98863])).
% 58.08/9.46 tff(f98863,plain,(
% 58.08/9.46 spl5880_3539 <=> ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG714($true)) | ~semiring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3539])])).
% 58.08/9.46 tff(f98175,plain,(
% 58.08/9.46 spl5880_3477 <=> ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_char_0(X0))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3477])])).
% 58.08/9.46 tff(f98178,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG714($true)) | ~semiring_char_0(X0)) ) | (~spl5880_1536 | ~spl5880_3477)),
% 58.08/9.46 inference(forward_demodulation,[],[f98176,f86302])).
% 58.08/9.46 tff(f98176,plain,(
% 58.08/9.46 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_char_0(X0)) ) | ~spl5880_3477),
% 58.08/9.46 inference(avatar_component_clause,[],[f98175])).
% 58.08/9.46 tff(f98857,plain,(
% 58.08/9.46 spl5880_3538 | ~spl5880_1544 | ~spl5880_3470),
% 58.08/9.46 inference(avatar_split_clause,[],[f98144,f98141,f86336,f98855])).
% 58.08/9.46 tff(f98855,plain,(
% 58.08/9.46 spl5880_3538 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG802(X0,X1) | ~iG803(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3538])])).
% 58.08/9.46 tff(f98141,plain,(
% 58.08/9.46 spl5880_3470 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG802(X0,X1) | ~iG803(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3470])])).
% 58.08/9.46 tff(f98144,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG802(X0,X1) | ~iG803(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_3470)),
% 58.08/9.46 inference(forward_demodulation,[],[f98142,f86338])).
% 58.08/9.46 tff(f98142,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG802(X0,X1) | ~iG803(X0,X1,X2)) ) | ~spl5880_3470),
% 58.08/9.46 inference(avatar_component_clause,[],[f98141])).
% 58.08/9.46 tff(f98853,plain,(
% 58.08/9.46 spl5880_3537 | ~spl5880_1544 | ~spl5880_3469),
% 58.08/9.46 inference(avatar_split_clause,[],[f98139,f98136,f86336,f98851])).
% 58.08/9.46 tff(f98851,plain,(
% 58.08/9.46 spl5880_3537 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG803(X0,X1,X2) | ~iG802(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3537])])).
% 58.08/9.46 tff(f98136,plain,(
% 58.08/9.46 spl5880_3469 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG803(X0,X1,X2) | ~iG802(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3469])])).
% 58.08/9.46 tff(f98139,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG803(X0,X1,X2) | ~iG802(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3469)),
% 58.08/9.46 inference(forward_demodulation,[],[f98137,f86338])).
% 58.08/9.46 tff(f98137,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG803(X0,X1,X2) | ~iG802(X0,X1)) ) | ~spl5880_3469),
% 58.08/9.46 inference(avatar_component_clause,[],[f98136])).
% 58.08/9.46 tff(f98849,plain,(
% 58.08/9.46 spl5880_3536 | ~spl5880_1544 | ~spl5880_3468),
% 58.08/9.46 inference(avatar_split_clause,[],[f98134,f98131,f86336,f98847])).
% 58.08/9.46 tff(f98847,plain,(
% 58.08/9.46 spl5880_3536 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG810(X0,X1) | ~iG811(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3536])])).
% 58.08/9.46 tff(f98131,plain,(
% 58.08/9.46 spl5880_3468 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG810(X0,X1) | ~iG811(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3468])])).
% 58.08/9.46 tff(f98134,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG810(X0,X1) | ~iG811(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_3468)),
% 58.08/9.46 inference(forward_demodulation,[],[f98132,f86338])).
% 58.08/9.46 tff(f98132,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG810(X0,X1) | ~iG811(X0,X1,X2)) ) | ~spl5880_3468),
% 58.08/9.46 inference(avatar_component_clause,[],[f98131])).
% 58.08/9.46 tff(f98845,plain,(
% 58.08/9.46 spl5880_3535 | ~spl5880_1544 | ~spl5880_3467),
% 58.08/9.46 inference(avatar_split_clause,[],[f98129,f98126,f86336,f98843])).
% 58.08/9.46 tff(f98843,plain,(
% 58.08/9.46 spl5880_3535 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG811(X0,X1,X2) | ~iG810(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3535])])).
% 58.08/9.46 tff(f98126,plain,(
% 58.08/9.46 spl5880_3467 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG811(X0,X1,X2) | ~iG810(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3467])])).
% 58.08/9.46 tff(f98129,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG811(X0,X1,X2) | ~iG810(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3467)),
% 58.08/9.46 inference(forward_demodulation,[],[f98127,f86338])).
% 58.08/9.46 tff(f98127,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG811(X0,X1,X2) | ~iG810(X0,X1)) ) | ~spl5880_3467),
% 58.08/9.46 inference(avatar_component_clause,[],[f98126])).
% 58.08/9.46 tff(f98841,plain,(
% 58.08/9.46 spl5880_3534 | ~spl5880_1544 | ~spl5880_3466),
% 58.08/9.46 inference(avatar_split_clause,[],[f98124,f98121,f86336,f98839])).
% 58.08/9.46 tff(f98839,plain,(
% 58.08/9.46 spl5880_3534 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG842(X0,X1) | ~iG843(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3534])])).
% 58.08/9.46 tff(f98121,plain,(
% 58.08/9.46 spl5880_3466 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG842(X0,X1) | ~iG843(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3466])])).
% 58.08/9.46 tff(f98124,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG842(X0,X1) | ~iG843(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_3466)),
% 58.08/9.46 inference(forward_demodulation,[],[f98122,f86338])).
% 58.08/9.46 tff(f98122,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG842(X0,X1) | ~iG843(X0,X1,X2)) ) | ~spl5880_3466),
% 58.08/9.46 inference(avatar_component_clause,[],[f98121])).
% 58.08/9.46 tff(f98837,plain,(
% 58.08/9.46 spl5880_3533 | ~spl5880_1544 | ~spl5880_3465),
% 58.08/9.46 inference(avatar_split_clause,[],[f98119,f98116,f86336,f98835])).
% 58.08/9.46 tff(f98835,plain,(
% 58.08/9.46 spl5880_3533 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG843(X0,X1,X2) | ~iG842(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3533])])).
% 58.08/9.46 tff(f98116,plain,(
% 58.08/9.46 spl5880_3465 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG843(X0,X1,X2) | ~iG842(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3465])])).
% 58.08/9.46 tff(f98119,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG843(X0,X1,X2) | ~iG842(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3465)),
% 58.08/9.46 inference(forward_demodulation,[],[f98117,f86338])).
% 58.08/9.46 tff(f98117,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG843(X0,X1,X2) | ~iG842(X0,X1)) ) | ~spl5880_3465),
% 58.08/9.46 inference(avatar_component_clause,[],[f98116])).
% 58.08/9.46 tff(f98833,plain,(
% 58.08/9.46 spl5880_3532 | ~spl5880_1544 | ~spl5880_3464),
% 58.08/9.46 inference(avatar_split_clause,[],[f98114,f98111,f86336,f98831])).
% 58.08/9.46 tff(f98831,plain,(
% 58.08/9.46 spl5880_3532 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG850(X0,X1) | ~iG851(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3532])])).
% 58.08/9.46 tff(f98111,plain,(
% 58.08/9.46 spl5880_3464 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG850(X0,X1) | ~iG851(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3464])])).
% 58.08/9.46 tff(f98114,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG850(X0,X1) | ~iG851(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_3464)),
% 58.08/9.46 inference(forward_demodulation,[],[f98112,f86338])).
% 58.08/9.46 tff(f98112,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG850(X0,X1) | ~iG851(X0,X1,X2)) ) | ~spl5880_3464),
% 58.08/9.46 inference(avatar_component_clause,[],[f98111])).
% 58.08/9.46 tff(f98829,plain,(
% 58.08/9.46 spl5880_3531 | ~spl5880_1544 | ~spl5880_3463),
% 58.08/9.46 inference(avatar_split_clause,[],[f98109,f98106,f86336,f98827])).
% 58.08/9.46 tff(f98827,plain,(
% 58.08/9.46 spl5880_3531 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG851(X0,X1,X2) | ~iG850(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3531])])).
% 58.08/9.46 tff(f98106,plain,(
% 58.08/9.46 spl5880_3463 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG851(X0,X1,X2) | ~iG850(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3463])])).
% 58.08/9.46 tff(f98109,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG851(X0,X1,X2) | ~iG850(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3463)),
% 58.08/9.46 inference(forward_demodulation,[],[f98107,f86338])).
% 58.08/9.46 tff(f98107,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG851(X0,X1,X2) | ~iG850(X0,X1)) ) | ~spl5880_3463),
% 58.08/9.46 inference(avatar_component_clause,[],[f98106])).
% 58.08/9.46 tff(f98439,plain,(
% 58.08/9.46 spl5880_3530 | ~spl5880_1443 | ~spl5880_3346),
% 58.08/9.46 inference(avatar_split_clause,[],[f97633,f97630,f85782,f98437])).
% 58.08/9.46 tff(f98437,plain,(
% 58.08/9.46 spl5880_3530 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG934(X0,X1,X2) | ~iG933(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3530])])).
% 58.08/9.46 tff(f97630,plain,(
% 58.08/9.46 spl5880_3346 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG934(X0,X1,X2) | ~iG933(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3346])])).
% 58.08/9.46 tff(f97633,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG934(X0,X1,X2) | ~iG933(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3346)),
% 58.08/9.46 inference(forward_demodulation,[],[f97631,f85784])).
% 58.08/9.46 tff(f97631,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG934(X0,X1,X2) | ~iG933(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3346),
% 58.08/9.46 inference(avatar_component_clause,[],[f97630])).
% 58.08/9.46 tff(f98435,plain,(
% 58.08/9.46 spl5880_3529 | ~spl5880_1443 | ~spl5880_3345),
% 58.08/9.46 inference(avatar_split_clause,[],[f97628,f97625,f85782,f98433])).
% 58.08/9.46 tff(f98433,plain,(
% 58.08/9.46 spl5880_3529 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG933(X0,X1) | ~iG934(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3529])])).
% 58.08/9.46 tff(f97625,plain,(
% 58.08/9.46 spl5880_3345 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG933(X0,X1) | ~iG934(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3345])])).
% 58.08/9.46 tff(f97628,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG933(X0,X1) | ~iG934(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3345)),
% 58.08/9.46 inference(forward_demodulation,[],[f97626,f85784])).
% 58.08/9.46 tff(f97626,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG933(X0,X1) | ~iG934(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3345),
% 58.08/9.46 inference(avatar_component_clause,[],[f97625])).
% 58.08/9.46 tff(f98431,plain,(
% 58.08/9.46 spl5880_3528 | ~spl5880_1443 | ~spl5880_3344),
% 58.08/9.46 inference(avatar_split_clause,[],[f97623,f97620,f85782,f98429])).
% 58.08/9.46 tff(f98429,plain,(
% 58.08/9.46 spl5880_3528 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG946(X0,X1,X2) | ~iG945(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3528])])).
% 58.08/9.46 tff(f97620,plain,(
% 58.08/9.46 spl5880_3344 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG946(X0,X1,X2) | ~iG945(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3344])])).
% 58.08/9.46 tff(f97623,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG946(X0,X1,X2) | ~iG945(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3344)),
% 58.08/9.46 inference(forward_demodulation,[],[f97621,f85784])).
% 58.08/9.46 tff(f97621,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG946(X0,X1,X2) | ~iG945(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3344),
% 58.08/9.46 inference(avatar_component_clause,[],[f97620])).
% 58.08/9.46 tff(f98427,plain,(
% 58.08/9.46 spl5880_3527 | ~spl5880_1443 | ~spl5880_3343),
% 58.08/9.46 inference(avatar_split_clause,[],[f97618,f97615,f85782,f98425])).
% 58.08/9.46 tff(f98425,plain,(
% 58.08/9.46 spl5880_3527 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG945(X0,X1) | ~iG946(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3527])])).
% 58.08/9.46 tff(f97615,plain,(
% 58.08/9.46 spl5880_3343 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG945(X0,X1) | ~iG946(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3343])])).
% 58.08/9.46 tff(f97618,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG945(X0,X1) | ~iG946(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3343)),
% 58.08/9.46 inference(forward_demodulation,[],[f97616,f85784])).
% 58.08/9.46 tff(f97616,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG945(X0,X1) | ~iG946(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3343),
% 58.08/9.46 inference(avatar_component_clause,[],[f97615])).
% 58.08/9.46 tff(f98423,plain,(
% 58.08/9.46 spl5880_3526 | ~spl5880_1443 | ~spl5880_3342),
% 58.08/9.46 inference(avatar_split_clause,[],[f97613,f97610,f85782,f98421])).
% 58.08/9.46 tff(f98421,plain,(
% 58.08/9.46 spl5880_3526 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG956(X0,X1,X2) | ~iG955(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3526])])).
% 58.08/9.46 tff(f97610,plain,(
% 58.08/9.46 spl5880_3342 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG956(X0,X1,X2) | ~iG955(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3342])])).
% 58.08/9.46 tff(f97613,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG956(X0,X1,X2) | ~iG955(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3342)),
% 58.08/9.46 inference(forward_demodulation,[],[f97611,f85784])).
% 58.08/9.46 tff(f97611,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG956(X0,X1,X2) | ~iG955(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3342),
% 58.08/9.46 inference(avatar_component_clause,[],[f97610])).
% 58.08/9.46 tff(f98419,plain,(
% 58.08/9.46 spl5880_3525 | ~spl5880_1443 | ~spl5880_3341),
% 58.08/9.46 inference(avatar_split_clause,[],[f97608,f97605,f85782,f98417])).
% 58.08/9.46 tff(f98417,plain,(
% 58.08/9.46 spl5880_3525 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG955(X0,X1) | ~iG956(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3525])])).
% 58.08/9.46 tff(f97605,plain,(
% 58.08/9.46 spl5880_3341 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG955(X0,X1) | ~iG956(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3341])])).
% 58.08/9.46 tff(f97608,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG955(X0,X1) | ~iG956(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3341)),
% 58.08/9.46 inference(forward_demodulation,[],[f97606,f85784])).
% 58.08/9.46 tff(f97606,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG955(X0,X1) | ~iG956(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3341),
% 58.08/9.46 inference(avatar_component_clause,[],[f97605])).
% 58.08/9.46 tff(f98415,plain,(
% 58.08/9.46 spl5880_3524 | ~spl5880_1443 | ~spl5880_3340),
% 58.08/9.46 inference(avatar_split_clause,[],[f97603,f97600,f85782,f98413])).
% 58.08/9.46 tff(f98413,plain,(
% 58.08/9.46 spl5880_3524 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG968(X0,X1,X2) | ~iG967(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3524])])).
% 58.08/9.46 tff(f97600,plain,(
% 58.08/9.46 spl5880_3340 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG968(X0,X1,X2) | ~iG967(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3340])])).
% 58.08/9.46 tff(f97603,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG968(X0,X1,X2) | ~iG967(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3340)),
% 58.08/9.46 inference(forward_demodulation,[],[f97601,f85784])).
% 58.08/9.46 tff(f97601,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG968(X0,X1,X2) | ~iG967(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3340),
% 58.08/9.46 inference(avatar_component_clause,[],[f97600])).
% 58.08/9.46 tff(f98411,plain,(
% 58.08/9.46 spl5880_3523 | ~spl5880_1443 | ~spl5880_3339),
% 58.08/9.46 inference(avatar_split_clause,[],[f97598,f97595,f85782,f98409])).
% 58.08/9.46 tff(f98409,plain,(
% 58.08/9.46 spl5880_3523 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG967(X0,X1) | ~iG968(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3523])])).
% 58.08/9.46 tff(f97595,plain,(
% 58.08/9.46 spl5880_3339 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG967(X0,X1) | ~iG968(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3339])])).
% 58.08/9.46 tff(f97598,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG967(X0,X1) | ~iG968(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3339)),
% 58.08/9.46 inference(forward_demodulation,[],[f97596,f85784])).
% 58.08/9.46 tff(f97596,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG967(X0,X1) | ~iG968(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3339),
% 58.08/9.46 inference(avatar_component_clause,[],[f97595])).
% 58.08/9.46 tff(f98407,plain,(
% 58.08/9.46 spl5880_3522 | ~spl5880_1444 | ~spl5880_3338),
% 58.08/9.46 inference(avatar_split_clause,[],[f97593,f97590,f85787,f98405])).
% 58.08/9.46 tff(f98405,plain,(
% 58.08/9.46 spl5880_3522 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (iG1275(X0,X1,X2,X3) = iG714($true) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3522])])).
% 58.08/9.46 tff(f97590,plain,(
% 58.08/9.46 spl5880_3338 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (one_one(nat) = iG1275(X0,X1,X2,X3) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3338])])).
% 58.08/9.46 tff(f97593,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG1275(X0,X1,X2,X3) = iG714($true) | X0 = X1) ) | (~spl5880_1444 | ~spl5880_3338)),
% 58.08/9.46 inference(forward_demodulation,[],[f97591,f85789])).
% 58.08/9.46 tff(f97591,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1275(X0,X1,X2,X3) | X0 = X1) ) | ~spl5880_3338),
% 58.08/9.46 inference(avatar_component_clause,[],[f97590])).
% 58.08/9.46 tff(f98403,plain,(
% 58.08/9.46 spl5880_3521 | ~spl5880_1444 | ~spl5880_3337),
% 58.08/9.46 inference(avatar_split_clause,[],[f97588,f97585,f85787,f98401])).
% 58.08/9.46 tff(f98401,plain,(
% 58.08/9.46 spl5880_3521 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (iG1303(X0,X1,X2,X3) = iG714($true) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3521])])).
% 58.08/9.46 tff(f97585,plain,(
% 58.08/9.46 spl5880_3337 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (one_one(nat) = iG1303(X0,X1,X2,X3) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3337])])).
% 58.08/9.46 tff(f97588,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG1303(X0,X1,X2,X3) = iG714($true) | X0 = X1) ) | (~spl5880_1444 | ~spl5880_3337)),
% 58.08/9.46 inference(forward_demodulation,[],[f97586,f85789])).
% 58.08/9.46 tff(f97586,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1303(X0,X1,X2,X3) | X0 = X1) ) | ~spl5880_3337),
% 58.08/9.46 inference(avatar_component_clause,[],[f97585])).
% 58.08/9.46 tff(f98399,plain,(
% 58.08/9.46 spl5880_3520 | ~spl5880_1443 | ~spl5880_3336),
% 58.08/9.46 inference(avatar_split_clause,[],[f97583,f97580,f85782,f98397])).
% 58.08/9.46 tff(f98397,plain,(
% 58.08/9.46 spl5880_3520 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1478(X0,X1,X2) | ~iG1477(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3520])])).
% 58.08/9.46 tff(f97580,plain,(
% 58.08/9.46 spl5880_3336 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1478(X0,X1,X2) | ~iG1477(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3336])])).
% 58.08/9.46 tff(f97583,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1478(X0,X1,X2) | ~iG1477(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3336)),
% 58.08/9.46 inference(forward_demodulation,[],[f97581,f85784])).
% 58.08/9.46 tff(f97581,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1478(X0,X1,X2) | ~iG1477(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3336),
% 58.08/9.46 inference(avatar_component_clause,[],[f97580])).
% 58.08/9.46 tff(f98395,plain,(
% 58.08/9.46 spl5880_3519 | ~spl5880_1443 | ~spl5880_3335),
% 58.08/9.46 inference(avatar_split_clause,[],[f97578,f97575,f85782,f98393])).
% 58.08/9.46 tff(f98393,plain,(
% 58.08/9.46 spl5880_3519 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1477(X0,X1) | ~iG1478(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3519])])).
% 58.08/9.46 tff(f97575,plain,(
% 58.08/9.46 spl5880_3335 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1477(X0,X1) | ~iG1478(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3335])])).
% 58.08/9.46 tff(f97578,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1477(X0,X1) | ~iG1478(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3335)),
% 58.08/9.46 inference(forward_demodulation,[],[f97576,f85784])).
% 58.08/9.46 tff(f97576,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1477(X0,X1) | ~iG1478(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3335),
% 58.08/9.46 inference(avatar_component_clause,[],[f97575])).
% 58.08/9.46 tff(f98391,plain,(
% 58.08/9.46 spl5880_3518 | ~spl5880_1443 | ~spl5880_3334),
% 58.08/9.46 inference(avatar_split_clause,[],[f97573,f97570,f85782,f98389])).
% 58.08/9.46 tff(f98389,plain,(
% 58.08/9.46 spl5880_3518 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1510(X0,X1,X2) | ~iG1509(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3518])])).
% 58.08/9.46 tff(f97570,plain,(
% 58.08/9.46 spl5880_3334 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1510(X0,X1,X2) | ~iG1509(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3334])])).
% 58.08/9.46 tff(f97573,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1510(X0,X1,X2) | ~iG1509(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3334)),
% 58.08/9.46 inference(forward_demodulation,[],[f97571,f85784])).
% 58.08/9.46 tff(f97571,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1510(X0,X1,X2) | ~iG1509(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3334),
% 58.08/9.46 inference(avatar_component_clause,[],[f97570])).
% 58.08/9.46 tff(f98387,plain,(
% 58.08/9.46 spl5880_3517 | ~spl5880_1443 | ~spl5880_3333),
% 58.08/9.46 inference(avatar_split_clause,[],[f97568,f97565,f85782,f98385])).
% 58.08/9.46 tff(f98385,plain,(
% 58.08/9.46 spl5880_3517 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1509(X0,X1) | ~iG1510(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3517])])).
% 58.08/9.46 tff(f97565,plain,(
% 58.08/9.46 spl5880_3333 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1509(X0,X1) | ~iG1510(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3333])])).
% 58.08/9.46 tff(f97568,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1509(X0,X1) | ~iG1510(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3333)),
% 58.08/9.46 inference(forward_demodulation,[],[f97566,f85784])).
% 58.08/9.46 tff(f97566,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1509(X0,X1) | ~iG1510(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3333),
% 58.08/9.46 inference(avatar_component_clause,[],[f97565])).
% 58.08/9.46 tff(f98383,plain,(
% 58.08/9.46 spl5880_3516 | ~spl5880_1443 | ~spl5880_3332),
% 58.08/9.46 inference(avatar_split_clause,[],[f97563,f97560,f85782,f98381])).
% 58.08/9.46 tff(f98381,plain,(
% 58.08/9.46 spl5880_3516 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1538(X0,X1,X2) | ~iG1537(X0,X1))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3516])])).
% 58.08/9.46 tff(f97560,plain,(
% 58.08/9.46 spl5880_3332 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1538(X0,X1,X2) | ~iG1537(X0,X1) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3332])])).
% 58.08/9.46 tff(f97563,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1538(X0,X1,X2) | ~iG1537(X0,X1)) ) | (~spl5880_1443 | ~spl5880_3332)),
% 58.08/9.46 inference(forward_demodulation,[],[f97561,f85784])).
% 58.08/9.46 tff(f97561,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1538(X0,X1,X2) | ~iG1537(X0,X1) | zero_zero(nat) = X0) ) | ~spl5880_3332),
% 58.08/9.46 inference(avatar_component_clause,[],[f97560])).
% 58.08/9.46 tff(f98379,plain,(
% 58.08/9.46 spl5880_3515 | ~spl5880_1443 | ~spl5880_3331),
% 58.08/9.46 inference(avatar_split_clause,[],[f97558,f97555,f85782,f98377])).
% 58.08/9.46 tff(f98377,plain,(
% 58.08/9.46 spl5880_3515 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1537(X0,X1) | ~iG1538(X0,X1,X2))),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3515])])).
% 58.08/9.46 tff(f97555,plain,(
% 58.08/9.46 spl5880_3331 <=> ! [X2 : $o,X0 : nat,X1 : $o] : (iG1537(X0,X1) | ~iG1538(X0,X1,X2) | zero_zero(nat) = X0)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3331])])).
% 58.08/9.46 tff(f97558,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG717($true) = X0 | iG1537(X0,X1) | ~iG1538(X0,X1,X2)) ) | (~spl5880_1443 | ~spl5880_3331)),
% 58.08/9.46 inference(forward_demodulation,[],[f97556,f85784])).
% 58.08/9.46 tff(f97556,plain,(
% 58.08/9.46 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1537(X0,X1) | ~iG1538(X0,X1,X2) | zero_zero(nat) = X0) ) | ~spl5880_3331),
% 58.08/9.46 inference(avatar_component_clause,[],[f97555])).
% 58.08/9.46 tff(f98375,plain,(
% 58.08/9.46 spl5880_3514 | ~spl5880_1444 | ~spl5880_3330),
% 58.08/9.46 inference(avatar_split_clause,[],[f97553,f97550,f85787,f98373])).
% 58.08/9.46 tff(f98373,plain,(
% 58.08/9.46 spl5880_3514 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (iG1682(X0,X1,X2,X3) = iG714($true) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3514])])).
% 58.08/9.46 tff(f97550,plain,(
% 58.08/9.46 spl5880_3330 <=> ! [X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (one_one(nat) = iG1682(X0,X1,X2,X3) | X0 = X1)),
% 58.08/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3330])])).
% 58.08/9.46 tff(f97553,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG1682(X0,X1,X2,X3) = iG714($true) | X0 = X1) ) | (~spl5880_1444 | ~spl5880_3330)),
% 58.08/9.46 inference(forward_demodulation,[],[f97551,f85789])).
% 58.08/9.46 tff(f97551,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1682(X0,X1,X2,X3) | X0 = X1) ) | ~spl5880_3330),
% 58.08/9.46 inference(avatar_component_clause,[],[f97550])).
% 58.08/9.46 tff(f98370,plain,(
% 58.08/9.46 spl5880_3513),
% 58.08/9.46 inference(avatar_split_clause,[],[f76756,f98368])).
% 58.08/9.46 tff(f76756,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG1228($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76755,f67101])).
% 58.08/9.46 tff(f76755,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG1228($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76754,f69743])).
% 58.08/9.46 tff(f76754,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,aa(nat,nat,suc,iG894($true)),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f62620,f67338])).
% 58.08/9.46 tff(f62620,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26716])).
% 58.08/9.46 tff(f26716,plain,(
% 58.08/9.46 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)),
% 58.08/9.46 inference(rectify,[],[f1135])).
% 58.08/9.46 tff(f1135,axiom,(
% 58.08/9.46 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X58,aa(nat,nat,suc,zero_zero(nat)),X159,X55),X9)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1134_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_Osimps_I3_J)).
% 58.08/9.46 tff(f98365,plain,(
% 58.08/9.46 spl5880_3512),
% 58.08/9.46 inference(avatar_split_clause,[],[f76753,f98363])).
% 58.08/9.46 tff(f76753,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG1228($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76752,f67101])).
% 58.08/9.46 tff(f76752,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG1228($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76751,f69743])).
% 58.08/9.46 tff(f76751,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,aa(nat,nat,suc,iG894($true)),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f62619,f67338])).
% 58.08/9.46 tff(f62619,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26715])).
% 58.08/9.46 tff(f26715,plain,(
% 58.08/9.46 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,aa(nat,nat,suc,zero_zero(nat)),X1,X2),X3)),
% 58.08/9.46 inference(rectify,[],[f1469])).
% 58.08/9.46 tff(f1469,axiom,(
% 58.08/9.46 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X58,aa(nat,nat,suc,zero_zero(nat)),X159,X55),X9)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1468_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H_Osimps_I3_J)).
% 58.08/9.46 tff(f98359,plain,(
% 58.08/9.46 spl5880_3511),
% 58.08/9.46 inference(avatar_split_clause,[],[f76744,f98357])).
% 58.08/9.46 tff(f76744,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76743,f67101])).
% 58.08/9.46 tff(f76743,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f62609,f67338])).
% 58.08/9.46 tff(f62609,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26705])).
% 58.08/9.46 tff(f26705,plain,(
% 58.08/9.46 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)),
% 58.08/9.46 inference(rectify,[],[f1103])).
% 58.08/9.46 tff(f1103,axiom,(
% 58.08/9.46 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t(vEBT_Node(X58,zero_zero(nat),X159,X55),X9)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1102_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_Osimps_I2_J)).
% 58.08/9.46 tff(f98353,plain,(
% 58.08/9.46 spl5880_3510),
% 58.08/9.46 inference(avatar_split_clause,[],[f76742,f98351])).
% 58.08/9.46 tff(f76742,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (iG1228($true) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f76741,f67101])).
% 58.08/9.46 tff(f76741,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f62608,f67338])).
% 58.08/9.46 tff(f62608,plain,(
% 58.08/9.46 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26704])).
% 58.08/9.46 tff(f26704,plain,(
% 58.08/9.46 ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)),
% 58.08/9.46 inference(rectify,[],[f1408])).
% 58.08/9.46 tff(f1408,axiom,(
% 58.08/9.46 ! [X58 : option(product_prod(nat,nat)),X159 : list(vEBT_VEBT),X55 : vEBT_VEBT,X9 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Node(X58,zero_zero(nat),X159,X55),X9)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1407_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H_Osimps_I2_J)).
% 58.08/9.46 tff(f98348,plain,(
% 58.08/9.46 spl5880_3509),
% 58.08/9.46 inference(avatar_split_clause,[],[f76561,f98346])).
% 58.08/9.46 tff(f76561,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG1228($true) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f62248,f67101])).
% 58.08/9.46 tff(f62248,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : $o,X1 : $o] : (one_one(nat) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f44533])).
% 58.08/9.46 tff(f44533,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : $o,X2 : nat] : ((vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2) | one_one(nat) != X2) & (one_one(nat) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2)))),
% 58.08/9.46 inference(nnf_transformation,[],[f18683])).
% 58.08/9.46 tff(f18683,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : $o,X2 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2) <=> one_one(nat) = X2)),
% 58.08/9.46 inference(fool_elimination,[],[f18680,f18682,f18681])).
% 58.08/9.46 tff(f18681,plain,(
% 58.08/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG1533(X0)))),
% 58.08/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG1533])])).
% 58.08/9.46 tff(f18682,plain,(
% 58.08/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG1534(X1)))),
% 58.08/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG1534])])).
% 58.08/9.46 tff(f18680,plain,(
% 58.08/9.46 ! [X0 : $o,X1 : $o,X2 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) <=> one_one(nat) = X2)),
% 58.08/9.46 inference(rectify,[],[f5212])).
% 58.08/9.46 tff(f5212,axiom,(
% 58.08/9.46 ! [X105 : $o,X109 : $o,X10 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X105,X109),X10) <=> one_one(nat) = X10)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5211_VEBT__internal_Ovalid_H_Osimps_I1_J)).
% 58.08/9.46 tff(f98343,plain,(
% 58.08/9.46 spl5880_3508),
% 58.08/9.46 inference(avatar_split_clause,[],[f75256,f98341])).
% 58.08/9.46 tff(f75256,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2151(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f60558,f69765])).
% 58.08/9.46 tff(f60558,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X0 | ~sP2151(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42966])).
% 58.08/9.46 tff(f98338,plain,(
% 58.08/9.46 spl5880_3507),
% 58.08/9.46 inference(avatar_split_clause,[],[f75254,f98336])).
% 58.08/9.46 tff(f75254,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(nat,nat,suc,iG1228($true)) = X0 | ~sP2152(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f60556,f69765])).
% 58.08/9.46 tff(f60556,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : vEBT_VEBT] : (aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X0 | ~sP2152(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42962])).
% 58.08/9.46 tff(f42962,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4350(X1)),zero_zero(nat),sK4351(X1),sK4352(X1)) = X1) | ~sP2152(X0,X1))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4350,sK4351,sK4352])],[f42960,f42961])).
% 58.08/9.46 tff(f42961,plain,(
% 58.08/9.46 ! [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)),sK4350(X1)),zero_zero(nat),sK4351(X1),sK4352(X1)) = X1)),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42960,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2152(X0,X1))),
% 58.08/9.46 inference(rectify,[],[f42959])).
% 58.08/9.46 tff(f42959,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2152(X2,X0))),
% 58.08/9.46 inference(nnf_transformation,[],[f37436])).
% 58.08/9.46 tff(f37436,plain,(
% 58.08/9.46 ! [X2 : nat,X0 : vEBT_VEBT] : ((aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = 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) | ~sP2152(X2,X0))),
% 58.08/9.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2152])])).
% 58.08/9.46 tff(f98333,plain,(
% 58.08/9.46 spl5880_3506),
% 58.08/9.46 inference(avatar_split_clause,[],[f74929,f98331])).
% 58.08/9.46 tff(f74929,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),iG894($true)) = X1) )),
% 58.08/9.46 inference(forward_demodulation,[],[f60054,f67338])).
% 58.08/9.46 tff(f60054,plain,(
% 58.08/9.46 ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),zero_zero(nat)) = X1) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26287])).
% 58.08/9.46 tff(f26287,plain,(
% 58.08/9.46 ! [X0 : $tType,X1 : X0,X2 : fun(nat,fun(X0,X0))] : aa(nat,X0,rec_nat(X0,X1,X2),zero_zero(nat)) = X1),
% 58.08/9.46 inference(rectify,[],[f5468])).
% 58.08/9.46 tff(f5468,axiom,(
% 58.08/9.46 ! [X0 : $tType,X230 : X0,X293 : fun(nat,fun(X0,X0))] : aa(nat,X0,rec_nat(X0,X230,X293),zero_zero(nat)) = X230),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5467_old_Onat_Osimps_I6_J)).
% 58.08/9.46 tff(f98328,plain,(
% 58.08/9.46 spl5880_3505),
% 58.08/9.46 inference(avatar_split_clause,[],[f74928,f98326])).
% 58.08/9.46 tff(f74928,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),iG894($true),X0,X1),X2)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f60053,f67338])).
% 58.08/9.46 tff(f60053,plain,(
% 58.08/9.46 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X0,X1),X2)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f26286])).
% 58.08/9.46 tff(f26286,plain,(
% 58.08/9.46 ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X0,X1),X2)),
% 58.08/9.46 inference(rectify,[],[f1068])).
% 58.08/9.46 tff(f1068,axiom,(
% 58.08/9.46 ! [X99 : list(vEBT_VEBT),X100 : vEBT_VEBT,X101 : nat] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X99,X100),X101)),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1067_VEBT__internal_Omembermima_Osimps_I2_J)).
% 58.08/9.46 tff(f98323,plain,(
% 58.08/9.46 spl5880_3504),
% 58.08/9.46 inference(avatar_split_clause,[],[f74551,f98321])).
% 58.08/9.46 tff(f74551,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true != aa(nat,$o,X1,iG894($true))) | sP2120(X1,X0)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59683,f67338])).
% 58.08/9.46 tff(f59683,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (sP2120(X1,X0) | ($true != aa(nat,$o,X1,zero_zero(nat)))) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42610])).
% 58.08/9.46 tff(f42610,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2120(X1,X0) | (! [X2 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X2))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) & ($true != aa(nat,$o,X1,zero_zero(nat))))) & ((($true = aa(nat,$o,X1,aa(nat,nat,suc,sK4216(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4216(X0,X1)),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat))) | ~sP2120(X1,X0)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4216])],[f42608,f42609])).
% 58.08/9.46 tff(f42609,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) => (($true = aa(nat,$o,X1,aa(nat,nat,suc,sK4216(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4216(X0,X1)),X0))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42608,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2120(X1,X0) | (! [X2 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X2))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) & ($true != aa(nat,$o,X1,zero_zero(nat))))) & (? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat))) | ~sP2120(X1,X0)))),
% 58.08/9.46 inference(rectify,[],[f42607])).
% 58.08/9.46 tff(f42607,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2120(X1,X0) | (! [X3 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true != aa(nat,$o,X1,zero_zero(nat))))) & (? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat))) | ~sP2120(X1,X0)))),
% 58.08/9.46 inference(flattening,[],[f42606])).
% 58.08/9.46 tff(f42606,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2120(X1,X0) | (! [X3 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true != aa(nat,$o,X1,zero_zero(nat))))) & ((? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat)))) | ~sP2120(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37391])).
% 58.08/9.46 tff(f37391,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (sP2120(X1,X0) <=> (? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat)))))),
% 58.08/9.46 inference(definition_folding,[],[f16650,f37390])).
% 58.08/9.46 tff(f16650,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (? [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,zero_zero(nat)))))),
% 58.08/9.46 inference(fool_elimination,[],[f16649])).
% 58.08/9.46 tff(f16649,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (aa(nat,$o,X1,X2) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))) <=> (? [X3 : nat] : (aa(nat,$o,X1,aa(nat,nat,suc,X3)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0)) | aa(nat,$o,X1,zero_zero(nat))))),
% 58.08/9.46 inference(rectify,[],[f1241])).
% 58.08/9.46 tff(f1241,axiom,(
% 58.08/9.46 ! [X8 : nat,X26 : fun(nat,$o)] : (? [X45 : nat] : (aa(nat,$o,X26,X45) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,suc,X8))) <=> (? [X45 : nat] : (aa(nat,$o,X26,aa(nat,nat,suc,X45)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X8)) | aa(nat,$o,X26,zero_zero(nat))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1240_Ex__less__Suc2)).
% 58.08/9.46 tff(f98318,plain,(
% 58.08/9.46 spl5880_3503),
% 58.08/9.46 inference(avatar_split_clause,[],[f74544,f98316])).
% 58.08/9.46 tff(f74544,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,iG894($true))) | ~sP2118(X1,X0)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59656,f67338])).
% 58.08/9.46 tff(f59656,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,zero_zero(nat))) | ~sP2118(X1,X0)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42576])).
% 58.08/9.46 tff(f42576,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2118(X1,X0) | (($true != aa(nat,$o,X1,aa(nat,nat,suc,sK4206(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4206(X0,X1)),X0))) | ($true != aa(nat,$o,X1,zero_zero(nat)))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))) | ~sP2118(X1,X0)))),
% 58.08/9.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4206])],[f42574,f42575])).
% 58.08/9.46 tff(f42575,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) => (($true != aa(nat,$o,X1,aa(nat,nat,suc,sK4206(X0,X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4206(X0,X1)),X0))))),
% 58.08/9.46 introduced(choice_axiom,[])).
% 58.08/9.46 tff(f42574,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2118(X1,X0) | ? [X2 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X2))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) | ($true != aa(nat,$o,X1,zero_zero(nat)))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))) | ~sP2118(X1,X0)))),
% 58.08/9.46 inference(rectify,[],[f42573])).
% 58.08/9.46 tff(f42573,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2118(X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true != aa(nat,$o,X1,zero_zero(nat)))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))) | ~sP2118(X1,X0)))),
% 58.08/9.46 inference(flattening,[],[f42572])).
% 58.08/9.46 tff(f42572,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2118(X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,X1,aa(nat,nat,suc,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true != aa(nat,$o,X1,zero_zero(nat))))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))) | ~sP2118(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37387])).
% 58.08/9.46 tff(f37387,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (sP2118(X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))))),
% 58.08/9.46 inference(definition_folding,[],[f34956,f37386])).
% 58.08/9.46 tff(f34956,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (! [X3 : nat] : (($true = aa(nat,$o,X1,aa(nat,nat,suc,X3))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,zero_zero(nat)))))),
% 58.08/9.46 inference(ennf_transformation,[],[f16640])).
% 58.08/9.46 tff(f16640,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))) => ($true = aa(nat,$o,X1,X2))) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0)) => ($true = aa(nat,$o,X1,aa(nat,nat,suc,X3)))) & ($true = aa(nat,$o,X1,zero_zero(nat)))))),
% 58.08/9.46 inference(fool_elimination,[],[f16639])).
% 58.08/9.46 tff(f16639,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)) => aa(nat,$o,X1,X2)) <=> (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0) => aa(nat,$o,X1,aa(nat,nat,suc,X3))) & aa(nat,$o,X1,zero_zero(nat))))),
% 58.08/9.46 inference(rectify,[],[f1239])).
% 58.08/9.46 tff(f1239,axiom,(
% 58.08/9.46 ! [X8 : nat,X26 : fun(nat,$o)] : (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,suc,X8)) => aa(nat,$o,X26,X45)) <=> (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X8) => aa(nat,$o,X26,aa(nat,nat,suc,X45))) & aa(nat,$o,X26,zero_zero(nat))))),
% 58.08/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1238_All__less__Suc2)).
% 58.08/9.46 tff(f98312,plain,(
% 58.08/9.46 spl5880_3502),
% 58.08/9.46 inference(avatar_split_clause,[],[f74470,f98310])).
% 58.08/9.46 tff(f74470,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74469,f69743])).
% 58.08/9.46 tff(f74469,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | iG894($true) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74468,f67338])).
% 58.08/9.46 tff(f74468,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59598,f67338])).
% 58.08/9.46 tff(f59598,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42526])).
% 58.08/9.46 tff(f42526,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat] : ((sP2116(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) | ~sP2116(X0,X1)))),
% 58.08/9.46 inference(rectify,[],[f42525])).
% 58.08/9.46 tff(f42525,plain,(
% 58.08/9.46 ! [X1 : nat,X0 : nat] : ((sP2116(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) | ~sP2116(X1,X0)))),
% 58.08/9.46 inference(flattening,[],[f42524])).
% 58.08/9.46 tff(f42524,plain,(
% 58.08/9.46 ! [X1 : nat,X0 : nat] : ((sP2116(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)) | ~sP2116(X1,X0)))),
% 58.08/9.46 inference(nnf_transformation,[],[f37382])).
% 58.08/9.46 tff(f98306,plain,(
% 58.08/9.46 spl5880_3501),
% 58.08/9.46 inference(avatar_split_clause,[],[f74467,f98304])).
% 58.08/9.46 tff(f74467,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74466,f67338])).
% 58.08/9.46 tff(f74466,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X1 | zero_zero(nat) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59599,f67338])).
% 58.08/9.46 tff(f59599,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(nat) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42526])).
% 58.08/9.46 tff(f98300,plain,(
% 58.08/9.46 spl5880_3500),
% 58.08/9.46 inference(avatar_split_clause,[],[f74465,f98298])).
% 58.08/9.46 tff(f74465,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74464,f69743])).
% 58.08/9.46 tff(f74464,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | iG1228($true) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74463,f67338])).
% 58.08/9.46 tff(f74463,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74462,f69743])).
% 58.08/9.46 tff(f74462,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59600,f67338])).
% 58.08/9.46 tff(f59600,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42526])).
% 58.08/9.46 tff(f98294,plain,(
% 58.08/9.46 spl5880_3499),
% 58.08/9.46 inference(avatar_split_clause,[],[f74461,f98292])).
% 58.08/9.46 tff(f74461,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74460,f67338])).
% 58.08/9.46 tff(f74460,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X0 | zero_zero(nat) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74459,f69743])).
% 58.08/9.46 tff(f74459,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | zero_zero(nat) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59601,f67338])).
% 58.08/9.46 tff(f59601,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0 | ~sP2116(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42526])).
% 58.08/9.46 tff(f98288,plain,(
% 58.08/9.46 spl5880_3498),
% 58.08/9.46 inference(avatar_split_clause,[],[f74448,f98286])).
% 58.08/9.46 tff(f74448,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG894($true) = X1 | ~sP2115(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74447,f69743])).
% 58.08/9.46 tff(f74447,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | iG894($true) = X1 | ~sP2115(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f74446,f67338])).
% 58.08/9.46 tff(f74446,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2115(X0,X1)) )),
% 58.08/9.46 inference(forward_demodulation,[],[f59590,f67338])).
% 58.08/9.46 tff(f59590,plain,(
% 58.08/9.46 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2115(X0,X1)) )),
% 58.08/9.46 inference(cnf_transformation,[],[f42522])).
% 58.08/9.46 tff(f42522,plain,(
% 58.08/9.46 ! [X0 : nat,X1 : nat] : ((sP2115(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) | ~sP2115(X0,X1)))),
% 58.13/9.46 inference(rectify,[],[f42521])).
% 58.13/9.46 tff(f42521,plain,(
% 58.13/9.46 ! [X1 : nat,X0 : nat] : ((sP2115(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) | ~sP2115(X1,X0)))),
% 58.13/9.46 inference(flattening,[],[f42520])).
% 58.13/9.46 tff(f42520,plain,(
% 58.13/9.46 ! [X1 : nat,X0 : nat] : ((sP2115(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)) | ~sP2115(X1,X0)))),
% 58.13/9.46 inference(nnf_transformation,[],[f37380])).
% 58.13/9.46 tff(f98282,plain,(
% 58.13/9.46 spl5880_3497),
% 58.13/9.46 inference(avatar_split_clause,[],[f74445,f98280])).
% 58.13/9.46 tff(f74445,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG894($true) = X1 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74444,f67338])).
% 58.13/9.46 tff(f74444,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X1 | zero_zero(nat) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f59591,f67338])).
% 58.13/9.46 tff(f59591,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(nat) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(cnf_transformation,[],[f42522])).
% 58.13/9.46 tff(f98276,plain,(
% 58.13/9.46 spl5880_3496),
% 58.13/9.46 inference(avatar_split_clause,[],[f74443,f98274])).
% 58.13/9.46 tff(f74443,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X1 | iG1228($true) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74442,f69743])).
% 58.13/9.46 tff(f74442,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | iG1228($true) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74441,f67338])).
% 58.13/9.46 tff(f74441,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74440,f69743])).
% 58.13/9.46 tff(f74440,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f59592,f67338])).
% 58.13/9.46 tff(f59592,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(cnf_transformation,[],[f42522])).
% 58.13/9.46 tff(f98270,plain,(
% 58.13/9.46 spl5880_3495),
% 58.13/9.46 inference(avatar_split_clause,[],[f74439,f98268])).
% 58.13/9.46 tff(f74439,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | iG1228($true) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74438,f67338])).
% 58.13/9.46 tff(f74438,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (iG1228($true) = X0 | zero_zero(nat) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f74437,f69743])).
% 58.13/9.46 tff(f74437,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X0 | zero_zero(nat) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(forward_demodulation,[],[f59593,f67338])).
% 58.13/9.46 tff(f59593,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0 | ~sP2115(X0,X1)) )),
% 58.13/9.46 inference(cnf_transformation,[],[f42522])).
% 58.13/9.46 tff(f98266,plain,(
% 58.13/9.46 spl5880_3494),
% 58.13/9.46 inference(avatar_split_clause,[],[f74359,f98263])).
% 58.13/9.46 tff(f98263,plain,(
% 58.13/9.46 spl5880_3494 <=> sP2113(iG1564(zero_zero(int),one_one(int)),iG1564(zero_zero(int),one_one(int)))),
% 58.13/9.46 introduced(avatar_definition,[new_symbols(naming,[spl5880_3494])])).
% 58.13/9.46 tff(f74359,plain,(
% 58.13/9.46 sP2113(iG1564(zero_zero(int),one_one(int)),iG1564(zero_zero(int),one_one(int)))),
% 58.13/9.46 inference(forward_demodulation,[],[f68364,f66895])).
% 58.13/9.46 tff(f68364,plain,(
% 58.13/9.46 sP2113(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int)))),
% 58.13/9.46 inference(equality_resolution,[],[f68363])).
% 58.13/9.46 tff(f68363,plain,(
% 58.13/9.46 ( ! [X1 : int] : (sP2113(aa(int,int,uminus_uminus(int),one_one(int)),X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 58.13/9.46 inference(equality_resolution,[],[f59531])).
% 58.13/9.46 tff(f59531,plain,(
% 58.13/9.46 ( ! [X0 : int,X1 : int] : (sP2113(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 58.13/9.46 inference(cnf_transformation,[],[f42478])).
% 58.13/9.46 tff(f98261,plain,(
% 58.13/9.46 spl5880_3493),
% 58.13/9.46 inference(avatar_split_clause,[],[f74316,f98259])).
% 58.13/9.46 tff(f74316,plain,(
% 58.13/9.46 ( ! [X0 : nat] : (aa(int,nat,nat2,iG577(int,one_one(int),X0)) = X0) )),
% 58.13/9.46 inference(forward_demodulation,[],[f68345,f67555])).
% 58.13/9.46 tff(f68345,plain,(
% 58.13/9.46 ( ! [X0 : nat] : (aa(int,nat,nat2,aa(nat,int,semiring_1_of_nat(int),X0)) = X0) )),
% 58.13/9.46 inference(equality_resolution,[],[f59469])).
% 58.13/9.46 tff(f59469,plain,(
% 58.13/9.46 ( ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 | aa(nat,int,semiring_1_of_nat(int),X0) != X1) )),
% 58.13/9.46 inference(cnf_transformation,[],[f42441])).
% 58.13/9.46 tff(f42441,plain,(
% 58.13/9.46 ! [X0 : nat,X1 : int] : ((aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) | aa(int,nat,nat2,X1) != X0) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0) | aa(nat,int,semiring_1_of_nat(int),X0) != X1))),
% 58.13/9.46 inference(flattening,[],[f42440])).
% 58.13/9.46 tff(f42440,plain,(
% 58.13/9.46 ! [X0 : nat,X1 : int] : ((aa(nat,int,semiring_1_of_nat(int),X0) = X1 | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) | aa(int,nat,nat2,X1) != X0)) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0) | aa(nat,int,semiring_1_of_nat(int),X0) != X1))),
% 58.13/9.46 inference(nnf_transformation,[],[f16607])).
% 58.13/9.46 tff(f16607,plain,(
% 58.13/9.46 ! [X0 : nat,X1 : int] : (aa(nat,int,semiring_1_of_nat(int),X0) = X1 <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0))),
% 58.13/9.46 inference(fool_elimination,[],[f16606])).
% 58.13/9.46 tff(f16606,plain,(
% 58.13/9.46 ! [X0 : nat,X1 : int] : (aa(nat,int,semiring_1_of_nat(int),X0) = X1 <=> (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1) & aa(int,nat,nat2,X1) = X0))),
% 58.13/9.46 inference(rectify,[],[f4661])).
% 58.13/9.46 tff(f4661,axiom,(
% 58.13/9.46 ! [X15 : nat,X21 : int] : (aa(nat,int,semiring_1_of_nat(int),X15) = X21 <=> (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X21) & aa(int,nat,nat2,X21) = X15))),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4660_int__eq__iff)).
% 58.13/9.46 tff(f98256,plain,(
% 58.13/9.46 spl5880_3492),
% 58.13/9.46 inference(avatar_split_clause,[],[f72954,f98254])).
% 58.13/9.46 tff(f72954,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG1228($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72953,f67101])).
% 58.13/9.46 tff(f72953,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),iG1228($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72952,f69743])).
% 58.13/9.46 tff(f72952,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57250,f67338])).
% 58.13/9.46 tff(f57250,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14856])).
% 58.13/9.46 tff(f14856,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG748(X0),bG749(X1)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.46 inference(fool_elimination,[],[f14853,f14855,f14854])).
% 58.13/9.46 tff(f14854,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG748(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG748])])).
% 58.13/9.46 tff(f14855,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG749(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG749])])).
% 58.13/9.46 tff(f14853,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_d_e_l_e_t_e(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat))) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1129])).
% 58.13/9.46 tff(f1129,axiom,(
% 58.13/9.46 ! [X11 : $o,X12 : $o] : vEBT_T_d_e_l_e_t_e(vEBT_Leaf(X11,X12),aa(nat,nat,suc,zero_zero(nat))) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1128_T_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_Osimps_I2_J)).
% 58.13/9.46 tff(f98250,plain,(
% 58.13/9.46 spl5880_3491),
% 58.13/9.46 inference(avatar_split_clause,[],[f72949,f98248])).
% 58.13/9.46 tff(f72949,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72948,f67101])).
% 58.13/9.46 tff(f72948,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57248,f67338])).
% 58.13/9.46 tff(f57248,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),zero_zero(nat))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14847])).
% 58.13/9.46 tff(f14847,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_d_e_l_e_t_e(vEBT_Leaf(bG743(X0),bG744(X1)),zero_zero(nat))),
% 58.13/9.46 inference(fool_elimination,[],[f14844,f14846,f14845])).
% 58.13/9.46 tff(f14845,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG743(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG743])])).
% 58.13/9.46 tff(f14846,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG744(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG744])])).
% 58.13/9.46 tff(f14844,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_d_e_l_e_t_e(vEBT_Leaf(X0,X1),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1059])).
% 58.13/9.46 tff(f1059,axiom,(
% 58.13/9.46 ! [X11 : $o,X12 : $o] : vEBT_T_d_e_l_e_t_e(vEBT_Leaf(X11,X12),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1058_T_092_060_094sub_062d_092_060_094sub_062e_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062t_092_060_094sub_062e_Osimps_I1_J)).
% 58.13/9.46 tff(f98245,plain,(
% 58.13/9.46 spl5880_3490),
% 58.13/9.46 inference(avatar_split_clause,[],[f72941,f98243])).
% 58.13/9.46 tff(f72941,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG1228($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72940,f67101])).
% 58.13/9.46 tff(f72940,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),iG1228($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72939,f69743])).
% 58.13/9.46 tff(f72939,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57244,f67338])).
% 58.13/9.46 tff(f57244,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14830])).
% 58.13/9.46 tff(f14830,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG734(X0),bG735(X1)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.46 inference(fool_elimination,[],[f14827,f14829,f14828])).
% 58.13/9.46 tff(f14828,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG734(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG734])])).
% 58.13/9.46 tff(f14829,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG735(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG735])])).
% 58.13/9.46 tff(f14827,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_p_r_e_d2(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat))) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1132])).
% 58.13/9.46 tff(f1132,axiom,(
% 58.13/9.46 ! [X11 : $o,X110 : $o] : vEBT_T_p_r_e_d2(vEBT_Leaf(X11,X110),aa(nat,nat,suc,zero_zero(nat))) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1131_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H_Osimps_I2_J)).
% 58.13/9.46 tff(f98239,plain,(
% 58.13/9.46 spl5880_3489),
% 58.13/9.46 inference(avatar_split_clause,[],[f72938,f98237])).
% 58.13/9.46 tff(f72938,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72937,f67101])).
% 58.13/9.46 tff(f72937,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57243,f67338])).
% 58.13/9.46 tff(f57243,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),zero_zero(nat))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14826])).
% 58.13/9.46 tff(f14826,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_p_r_e_d(vEBT_Leaf(bG732(X0),bG733(X1)),zero_zero(nat))),
% 58.13/9.46 inference(fool_elimination,[],[f14823,f14825,f14824])).
% 58.13/9.46 tff(f14824,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG732(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG732])])).
% 58.13/9.46 tff(f14825,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG733(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG733])])).
% 58.13/9.46 tff(f14823,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_p_r_e_d(vEBT_Leaf(X0,X1),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1037])).
% 58.13/9.46 tff(f1037,axiom,(
% 58.13/9.46 ! [X105 : $o,X109 : $o] : vEBT_T_p_r_e_d(vEBT_Leaf(X105,X109),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1036_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_Osimps_I1_J)).
% 58.13/9.46 tff(f98233,plain,(
% 58.13/9.46 spl5880_3488),
% 58.13/9.46 inference(avatar_split_clause,[],[f72936,f98231])).
% 58.13/9.46 tff(f72936,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72935,f67101])).
% 58.13/9.46 tff(f72935,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57242,f67338])).
% 58.13/9.46 tff(f57242,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),zero_zero(nat))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14822])).
% 58.13/9.46 tff(f14822,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_p_r_e_d2(vEBT_Leaf(bG730(X0),bG731(X1)),zero_zero(nat))),
% 58.13/9.46 inference(fool_elimination,[],[f14819,f14821,f14820])).
% 58.13/9.46 tff(f14820,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG730(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG730])])).
% 58.13/9.46 tff(f14821,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG731(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG731])])).
% 58.13/9.46 tff(f14819,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_p_r_e_d2(vEBT_Leaf(X0,X1),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1066])).
% 58.13/9.46 tff(f1066,axiom,(
% 58.13/9.46 ! [X105 : $o,X109 : $o] : vEBT_T_p_r_e_d2(vEBT_Leaf(X105,X109),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1065_T_092_060_094sub_062p_092_060_094sub_062r_092_060_094sub_062e_092_060_094sub_062d_H_Osimps_I1_J)).
% 58.13/9.46 tff(f98227,plain,(
% 58.13/9.46 spl5880_3487),
% 58.13/9.46 inference(avatar_split_clause,[],[f72931,f98225])).
% 58.13/9.46 tff(f72931,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (iG1228($true) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f72930,f67101])).
% 58.13/9.46 tff(f72930,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),iG894($true))) )),
% 58.13/9.46 inference(forward_demodulation,[],[f57240,f67338])).
% 58.13/9.46 tff(f57240,plain,(
% 58.13/9.46 ( ! [X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),zero_zero(nat))) )),
% 58.13/9.46 inference(cnf_transformation,[],[f14814])).
% 58.13/9.46 tff(f14814,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : one_one(nat) = vEBT_T_s_u_c_c2(vEBT_Leaf(bG726(X0),bG727(X1)),zero_zero(nat))),
% 58.13/9.46 inference(fool_elimination,[],[f14811,f14813,f14812])).
% 58.13/9.46 tff(f14812,plain,(
% 58.13/9.46 ! [X0 : $o] : (($true = X0) <=> ($true = bG726(X0)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG726])])).
% 58.13/9.46 tff(f14813,plain,(
% 58.13/9.46 ! [X1 : $o] : (($true = X1) <=> ($true = bG727(X1)))),
% 58.13/9.46 introduced(fool_formula_definition,[new_symbols(definition,[bG727])])).
% 58.13/9.46 tff(f14811,plain,(
% 58.13/9.46 ! [X0 : $o,X1 : $o] : vEBT_T_s_u_c_c2(vEBT_Leaf(X0,X1),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 inference(rectify,[],[f1067])).
% 58.13/9.46 tff(f1067,axiom,(
% 58.13/9.46 ! [X105 : $o,X12 : $o] : vEBT_T_s_u_c_c2(vEBT_Leaf(X105,X12),zero_zero(nat)) = one_one(nat)),
% 58.13/9.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1066_T_092_060_094sub_062s_092_060_094sub_062u_092_060_094sub_062c_092_060_094sub_062c_H_Osimps_I1_J)).
% 58.13/9.46 tff(f98223,plain,(
% 58.13/9.46 spl5880_3486),
% 58.13/9.46 inference(avatar_split_clause,[],[f72268,f98221])).
% 58.13/9.46 tff(f98221,plain,(
% 58.13/9.46 spl5880_3486 <=> ! [X0 : real,X1 : complex] : im(real_V8093663219630862766scaleR(complex,X0,X1)) = real_V8093663219630862766scaleR(real,X0,im(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3486])])).
% 58.13/9.47 tff(f72268,plain,(
% 58.13/9.47 ( ! [X0 : real,X1 : complex] : (im(real_V8093663219630862766scaleR(complex,X0,X1)) = real_V8093663219630862766scaleR(real,X0,im(X1))) )),
% 58.13/9.47 inference(forward_demodulation,[],[f56750,f56742])).
% 58.13/9.47 tff(f56750,plain,(
% 58.13/9.47 ( ! [X0 : real,X1 : complex] : (im(real_V8093663219630862766scaleR(complex,X0,X1)) = aa(real,real,aa(real,fun(real,real),times_times(real),X0),im(X1))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25303])).
% 58.13/9.47 tff(f25303,plain,(
% 58.13/9.47 ! [X0 : real,X1 : complex] : im(real_V8093663219630862766scaleR(complex,X0,X1)) = aa(real,real,aa(real,fun(real,real),times_times(real),X0),im(X1))),
% 58.13/9.47 inference(rectify,[],[f5244])).
% 58.13/9.47 tff(f5244,axiom,(
% 58.13/9.47 ! [X92 : real,X9 : complex] : im(real_V8093663219630862766scaleR(complex,X92,X9)) = aa(real,real,aa(real,fun(real,real),times_times(real),X92),im(X9))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5243_scaleR__complex_Osimps_I2_J)).
% 58.13/9.47 tff(f98218,plain,(
% 58.13/9.47 spl5880_3485),
% 58.13/9.47 inference(avatar_split_clause,[],[f72265,f98216])).
% 58.13/9.47 tff(f72265,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : option(X0)] : (aa(option(X0),nat,size_size(option(X0)),X1) != iG894($true)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f56709,f67338])).
% 58.13/9.47 tff(f56709,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : option(X0)] : (zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25262])).
% 58.13/9.47 tff(f25262,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : option(X0)] : zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X1)),
% 58.13/9.47 inference(rectify,[],[f1031])).
% 58.13/9.47 tff(f1031,axiom,(
% 58.13/9.47 ! [X0 : $tType,X9 : option(X0)] : zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X9)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1030_option_Osize__neq)).
% 58.13/9.47 tff(f98212,plain,(
% 58.13/9.47 spl5880_3484),
% 58.13/9.47 inference(avatar_split_clause,[],[f72101,f98209])).
% 58.13/9.47 tff(f72101,plain,(
% 58.13/9.47 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,iG1228($true)),iG894($true)))),
% 58.13/9.47 inference(forward_demodulation,[],[f72100,f69743])).
% 58.13/9.47 tff(f72100,plain,(
% 58.13/9.47 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,iG894($true))),iG894($true)))),
% 58.13/9.47 inference(forward_demodulation,[],[f68134,f67338])).
% 58.13/9.47 tff(f68134,plain,(
% 58.13/9.47 ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),zero_zero(nat)))),
% 58.13/9.47 inference(equality_resolution,[],[f56534])).
% 58.13/9.47 tff(f56534,plain,(
% 58.13/9.47 ( ! [X0 : nat] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) | zero_zero(nat) != X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f40940])).
% 58.13/9.47 tff(f98205,plain,(
% 58.13/9.47 spl5880_3483),
% 58.13/9.47 inference(avatar_split_clause,[],[f71355,f98203])).
% 58.13/9.47 tff(f71355,plain,(
% 58.13/9.47 ( ! [X0 : set(nat)] : (~member(nat,iG1228($true),X0) | gcd_Gcd(nat,X0) = iG1228($true)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f71354,f67101])).
% 58.13/9.47 tff(f71354,plain,(
% 58.13/9.47 ( ! [X0 : set(nat)] : (gcd_Gcd(nat,X0) = iG1228($true) | ~member(nat,one_one(nat),X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f55675,f67101])).
% 58.13/9.47 tff(f55675,plain,(
% 58.13/9.47 ( ! [X0 : set(nat)] : (one_one(nat) = gcd_Gcd(nat,X0) | ~member(nat,one_one(nat),X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f32178])).
% 58.13/9.47 tff(f32178,plain,(
% 58.13/9.47 ! [X0 : set(nat)] : (one_one(nat) = gcd_Gcd(nat,X0) | ~member(nat,one_one(nat),X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24941])).
% 58.13/9.47 tff(f24941,plain,(
% 58.13/9.47 ! [X0 : set(nat)] : (member(nat,one_one(nat),X0) => one_one(nat) = gcd_Gcd(nat,X0))),
% 58.13/9.47 inference(rectify,[],[f7150])).
% 58.13/9.47 tff(f7150,axiom,(
% 58.13/9.47 ! [X95 : set(nat)] : (member(nat,one_one(nat),X95) => one_one(nat) = gcd_Gcd(nat,X95))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7149_Gcd__nat__eq__one)).
% 58.13/9.47 tff(f98201,plain,(
% 58.13/9.47 spl5880_3482),
% 58.13/9.47 inference(avatar_split_clause,[],[f71304,f98199])).
% 58.13/9.47 tff(f71304,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (iG546(X0,X1) = iG577(X0,one_one(X0),X1) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f54836,f67555])).
% 58.13/9.47 tff(f54836,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = iG546(X0,X1) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31556])).
% 58.13/9.47 tff(f31556,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = iG546(X0,X1) | ~semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12749])).
% 58.13/9.47 tff(f12749,plain,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = iG546(X0,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f12747,f12748])).
% 58.13/9.47 tff(f12748,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG546(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => zero_zero(X0) = iG546(X0,X1))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG546])])).
% 58.13/9.47 tff(f12747,plain,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = $ite(zero_zero(nat) = X1, zero_zero(X0),aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 58.13/9.47 inference(rectify,[],[f3263])).
% 58.13/9.47 tff(f3263,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X8) = $ite(zero_zero(nat) = X8, zero_zero(X0),aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X8,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3262_of__nat__code__if)).
% 58.13/9.47 tff(f98197,plain,(
% 58.13/9.47 spl5880_3481),
% 58.13/9.47 inference(avatar_split_clause,[],[f71292,f98195])).
% 58.13/9.47 tff(f98195,plain,(
% 58.13/9.47 spl5880_3481 <=> ! [X0 : $tType,X1 : nat] : (member(X0,iG577(X0,one_one(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3481])])).
% 58.13/9.47 tff(f71292,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (member(X0,iG577(X0,one_one(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f54827,f67555])).
% 58.13/9.47 tff(f54827,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (member(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31547])).
% 58.13/9.47 tff(f31547,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : nat] : member(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24805])).
% 58.13/9.47 tff(f24805,plain,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : member(X0,aa(nat,X0,semiring_1_of_nat(X0),X1),semiring_1_Nats(X0)))),
% 58.13/9.47 inference(rectify,[],[f7710])).
% 58.13/9.47 tff(f7710,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : member(X0,aa(nat,X0,semiring_1_of_nat(X0),X8),semiring_1_Nats(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7709_of__nat__in__Nats)).
% 58.13/9.47 tff(f98192,plain,(
% 58.13/9.47 spl5880_3480),
% 58.13/9.47 inference(avatar_split_clause,[],[f71289,f98190])).
% 58.13/9.47 tff(f71289,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f71288,f67338])).
% 58.13/9.47 tff(f71288,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),zero_zero(nat)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f54822,f67555])).
% 58.13/9.47 tff(f54822,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31542])).
% 58.13/9.47 tff(f31542,plain,(
% 58.13/9.47 ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f3094])).
% 58.13/9.47 tff(f3094,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3093_of__nat__0)).
% 58.13/9.47 tff(f98187,plain,(
% 58.13/9.47 spl5880_3479),
% 58.13/9.47 inference(avatar_split_clause,[],[f71287,f98185])).
% 58.13/9.47 tff(f71287,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f71286,f67101])).
% 58.13/9.47 tff(f71286,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),one_one(nat)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f54821,f67555])).
% 58.13/9.47 tff(f54821,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31541])).
% 58.13/9.47 tff(f31541,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f3101])).
% 58.13/9.47 tff(f3101,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_1(X0) => one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3100_of__nat__1)).
% 58.13/9.47 tff(f98182,plain,(
% 58.13/9.47 spl5880_3478),
% 58.13/9.47 inference(avatar_split_clause,[],[f71130,f98180])).
% 58.13/9.47 tff(f71130,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),iG894($true)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f71129,f67338])).
% 58.13/9.47 tff(f71129,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = iG577(X0,one_one(X0),zero_zero(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f68024,f67555])).
% 58.13/9.47 tff(f68024,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f54573])).
% 58.13/9.47 tff(f54573,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | zero_zero(nat) != X1 | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39939])).
% 58.13/9.47 tff(f98177,plain,(
% 58.13/9.47 spl5880_3477),
% 58.13/9.47 inference(avatar_split_clause,[],[f71122,f98175])).
% 58.13/9.47 tff(f71122,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),iG1228($true)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f71121,f67101])).
% 58.13/9.47 tff(f71121,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = iG577(X0,one_one(X0),one_one(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f68022,f67555])).
% 58.13/9.47 tff(f68022,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f54569])).
% 58.13/9.47 tff(f54569,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | one_one(nat) != X1 | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39937])).
% 58.13/9.47 tff(f98173,plain,(
% 58.13/9.47 spl5880_3476),
% 58.13/9.47 inference(avatar_split_clause,[],[f71086,f98171])).
% 58.13/9.47 tff(f98171,plain,(
% 58.13/9.47 spl5880_3476 <=> ! [X0 : $tType] : (zero_zero(X0) != aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~zero_neq_one(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3476])])).
% 58.13/9.47 tff(f71086,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) != aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~zero_neq_one(X0)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f68010,f67597])).
% 58.13/9.47 tff(f67597,plain,(
% 58.13/9.47 ($true = bG505($true))),
% 58.13/9.47 inference(equality_resolution,[],[f48755])).
% 58.13/9.47 tff(f48755,plain,(
% 58.13/9.47 ( ! [X0 : $o] : (($true = bG505(X0)) | ($true != X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38608])).
% 58.13/9.47 tff(f38608,plain,(
% 58.13/9.47 ! [X0 : $o] : ((($true = X0) | ($true != bG505(X0))) & (($true = bG505(X0)) | ($true != X0)))),
% 58.13/9.47 inference(nnf_transformation,[],[f22351])).
% 58.13/9.47 tff(f22351,plain,(
% 58.13/9.47 ! [X0 : $o] : (($true = X0) <=> ($true = bG505(X0)))),
% 58.13/9.47 inference(rectify,[],[f12579])).
% 58.13/9.47 tff(f68010,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG505($true)) | ~zero_neq_one(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f54488])).
% 58.13/9.47 tff(f54488,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : $o] : (($true != X1) | zero_zero(X0) != aa($o,X0,zero_neq_one_of_bool(X0),bG505(X1)) | ~zero_neq_one(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39917])).
% 58.13/9.47 tff(f98169,plain,(
% 58.13/9.47 spl5880_3475),
% 58.13/9.47 inference(avatar_split_clause,[],[f69761,f98166])).
% 58.13/9.47 tff(f98166,plain,(
% 58.13/9.47 spl5880_3475 <=> topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,cos(real,pi),im(imaginary_unit)),arccos)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3475])])).
% 58.13/9.47 tff(f69761,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,cos(real,pi),im(imaginary_unit)),arccos)),
% 58.13/9.47 inference(forward_demodulation,[],[f69760,f69747])).
% 58.13/9.47 tff(f69760,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),im(imaginary_unit)),arccos)),
% 58.13/9.47 inference(forward_demodulation,[],[f50069,f50004])).
% 58.13/9.47 tff(f50069,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 58.13/9.47 inference(cnf_transformation,[],[f6648])).
% 58.13/9.47 tff(f6648,axiom,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6647_continuous__on__arccos_H)).
% 58.13/9.47 tff(f98164,plain,(
% 58.13/9.47 spl5880_3474),
% 58.13/9.47 inference(avatar_split_clause,[],[f69759,f98161])).
% 58.13/9.47 tff(f98161,plain,(
% 58.13/9.47 spl5880_3474 <=> topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,cos(real,pi),im(imaginary_unit)),arcsin)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3474])])).
% 58.13/9.47 tff(f69759,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,cos(real,pi),im(imaginary_unit)),arcsin)),
% 58.13/9.47 inference(forward_demodulation,[],[f69758,f69747])).
% 58.13/9.47 tff(f69758,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),im(imaginary_unit)),arcsin)),
% 58.13/9.47 inference(forward_demodulation,[],[f50068,f50004])).
% 58.13/9.47 tff(f50068,plain,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 58.13/9.47 inference(cnf_transformation,[],[f6649])).
% 58.13/9.47 tff(f6649,axiom,(
% 58.13/9.47 topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6648_continuous__on__arcsin_H)).
% 58.13/9.47 tff(f98159,plain,(
% 58.13/9.47 spl5880_3473),
% 58.13/9.47 inference(avatar_split_clause,[],[f69748,f98156])).
% 58.13/9.47 tff(f98156,plain,(
% 58.13/9.47 spl5880_3473 <=> filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(real))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3473])])).
% 58.13/9.47 tff(f69748,plain,(
% 58.13/9.47 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(real))),
% 58.13/9.47 inference(forward_demodulation,[],[f50051,f50004])).
% 58.13/9.47 tff(f50051,plain,(
% 58.13/9.47 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 58.13/9.47 inference(cnf_transformation,[],[f6436])).
% 58.13/9.47 tff(f6436,axiom,(
% 58.13/9.47 filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6435_tanh__real__at__top)).
% 58.13/9.47 tff(f98154,plain,(
% 58.13/9.47 spl5880_3472),
% 58.13/9.47 inference(avatar_split_clause,[],[f69747,f98151])).
% 58.13/9.47 tff(f98151,plain,(
% 58.13/9.47 spl5880_3472 <=> cos(real,pi) = aa(real,real,uminus_uminus(real),im(imaginary_unit))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3472])])).
% 58.13/9.47 tff(f98149,plain,(
% 58.13/9.47 spl5880_3471),
% 58.13/9.47 inference(avatar_split_clause,[],[f69713,f98146])).
% 58.13/9.47 tff(f69713,plain,(
% 58.13/9.47 newnode74 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78)),
% 58.13/9.47 inference(forward_demodulation,[],[f69712,f65717])).
% 58.13/9.47 tff(f65717,plain,(
% 58.13/9.47 h79 = divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 58.13/9.47 inference(definition_unfolding,[],[f49236,f56860])).
% 58.13/9.47 tff(f56860,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (divide_divide(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) = vEBT_VEBT_high(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25413])).
% 58.13/9.47 tff(f25413,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat] : divide_divide(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) = vEBT_VEBT_high(X0,X1)),
% 58.13/9.47 inference(rectify,[],[f5])).
% 58.13/9.47 tff(f5,axiom,(
% 58.13/9.47 ! [X9 : nat,X8 : nat] : vEBT_VEBT_high(X9,X8) = divide_divide(nat,X9,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X8))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_high__def)).
% 58.13/9.47 tff(f49236,plain,(
% 58.13/9.47 vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = h79),
% 58.13/9.47 inference(cnf_transformation,[],[f9860])).
% 58.13/9.47 tff(f9860,plain,(
% 58.13/9.47 vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = h79),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f69712,plain,(
% 58.13/9.47 newnode74 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),l78)),
% 58.13/9.47 inference(forward_demodulation,[],[f65726,f65718])).
% 58.13/9.47 tff(f65718,plain,(
% 58.13/9.47 l78 = modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 58.13/9.47 inference(definition_unfolding,[],[f49237,f56859])).
% 58.13/9.47 tff(f56859,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25412])).
% 58.13/9.47 tff(f25412,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))),
% 58.13/9.47 inference(rectify,[],[f306])).
% 58.13/9.47 tff(f306,axiom,(
% 58.13/9.47 ! [X9 : nat,X8 : nat] : vEBT_VEBT_low(X9,X8) = modulo_modulo(nat,X9,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X8))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_low__def)).
% 58.13/9.47 tff(f49237,plain,(
% 58.13/9.47 vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = l78),
% 58.13/9.47 inference(cnf_transformation,[],[f9859])).
% 58.13/9.47 tff(f9859,plain,(
% 58.13/9.47 vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = l78),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f65726,plain,(
% 58.13/9.47 newnode74 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 58.13/9.47 inference(definition_unfolding,[],[f49251,f46124,f56860,f56859])).
% 58.13/9.47 tff(f49251,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = newnode74),
% 58.13/9.47 inference(cnf_transformation,[],[f9848])).
% 58.13/9.47 tff(f9848,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = newnode74),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f98143,plain,(
% 58.13/9.47 spl5880_3470),
% 58.13/9.47 inference(avatar_split_clause,[],[f69514,f98141])).
% 58.13/9.47 tff(f69514,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG802(X0,X1) | ~iG803(X0,X1,X2)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48150,f67338])).
% 58.13/9.47 tff(f48150,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG802(X0,X1) | ~iG803(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38455])).
% 58.13/9.47 tff(f38455,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG803(X0,X1,X2) | ~iG802(X0,X1)) & (iG802(X0,X1) | ~iG803(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG803(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG803(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27809])).
% 58.13/9.47 tff(f27809,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG803(X0,X1,X2) <=> iG802(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG803(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21946])).
% 58.13/9.47 tff(f21946,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG803(X0,X1,X2) <=> iG802(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG803(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21945])).
% 58.13/9.47 tff(f21945,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG803(X0,X1,X2) <=> iG802(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG803(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15319])).
% 58.13/9.47 tff(f15319,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG803(X1,X3,X2) <=> iG802(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG803(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG803])])).
% 58.13/9.47 tff(f98138,plain,(
% 58.13/9.47 spl5880_3469),
% 58.13/9.47 inference(avatar_split_clause,[],[f69513,f98136])).
% 58.13/9.47 tff(f69513,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG803(X0,X1,X2) | ~iG802(X0,X1)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48151,f67338])).
% 58.13/9.47 tff(f48151,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG803(X0,X1,X2) | ~iG802(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38455])).
% 58.13/9.47 tff(f98133,plain,(
% 58.13/9.47 spl5880_3468),
% 58.13/9.47 inference(avatar_split_clause,[],[f69507,f98131])).
% 58.13/9.47 tff(f69507,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG810(X0,X1) | ~iG811(X0,X1,X2)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48131,f67338])).
% 58.13/9.47 tff(f48131,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG810(X0,X1) | ~iG811(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38448])).
% 58.13/9.47 tff(f38448,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG811(X0,X1,X2) | ~iG810(X0,X1)) & (iG810(X0,X1) | ~iG811(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG811(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG811(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27806])).
% 58.13/9.47 tff(f27806,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG811(X0,X1,X2) <=> iG810(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG811(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21933])).
% 58.13/9.47 tff(f21933,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG811(X0,X1,X2) <=> iG810(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG811(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21932])).
% 58.13/9.47 tff(f21932,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG811(X0,X1,X2) <=> iG810(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG811(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15329])).
% 58.13/9.47 tff(f15329,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG811(X1,X3,X2) <=> iG810(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG811(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG811])])).
% 58.13/9.47 tff(f98128,plain,(
% 58.13/9.47 spl5880_3467),
% 58.13/9.47 inference(avatar_split_clause,[],[f69506,f98126])).
% 58.13/9.47 tff(f69506,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG811(X0,X1,X2) | ~iG810(X0,X1)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48132,f67338])).
% 58.13/9.47 tff(f48132,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG811(X0,X1,X2) | ~iG810(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38448])).
% 58.13/9.47 tff(f98123,plain,(
% 58.13/9.47 spl5880_3466),
% 58.13/9.47 inference(avatar_split_clause,[],[f69500,f98121])).
% 58.13/9.47 tff(f69500,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG842(X0,X1) | ~iG843(X0,X1,X2)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48064,f67338])).
% 58.13/9.47 tff(f48064,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG842(X0,X1) | ~iG843(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38413])).
% 58.13/9.47 tff(f38413,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG843(X0,X1,X2) | ~iG842(X0,X1)) & (iG842(X0,X1) | ~iG843(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG843(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG843(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27797])).
% 58.13/9.47 tff(f27797,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG843(X0,X1,X2) <=> iG842(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG843(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21888])).
% 58.13/9.47 tff(f21888,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG843(X0,X1,X2) <=> iG842(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG843(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21887])).
% 58.13/9.47 tff(f21887,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG843(X0,X1,X2) <=> iG842(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG843(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15385])).
% 58.13/9.47 tff(f15385,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG843(X1,X3,X2) <=> iG842(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG843(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG843])])).
% 58.13/9.47 tff(f98118,plain,(
% 58.13/9.47 spl5880_3465),
% 58.13/9.47 inference(avatar_split_clause,[],[f69499,f98116])).
% 58.13/9.47 tff(f69499,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG843(X0,X1,X2) | ~iG842(X0,X1)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48065,f67338])).
% 58.13/9.47 tff(f48065,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG843(X0,X1,X2) | ~iG842(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38413])).
% 58.13/9.47 tff(f98113,plain,(
% 58.13/9.47 spl5880_3464),
% 58.13/9.47 inference(avatar_split_clause,[],[f69493,f98111])).
% 58.13/9.47 tff(f69493,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG850(X0,X1) | ~iG851(X0,X1,X2)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48045,f67338])).
% 58.13/9.47 tff(f48045,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG850(X0,X1) | ~iG851(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38406])).
% 58.13/9.47 tff(f38406,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG851(X0,X1,X2) | ~iG850(X0,X1)) & (iG850(X0,X1) | ~iG851(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG851(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG851(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27794])).
% 58.13/9.47 tff(f27794,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG851(X0,X1,X2) <=> iG850(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG851(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21875])).
% 58.13/9.47 tff(f21875,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG851(X0,X1,X2) <=> iG850(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG851(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21874])).
% 58.13/9.47 tff(f21874,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG851(X0,X1,X2) <=> iG850(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG851(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15395])).
% 58.13/9.47 tff(f15395,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG851(X1,X3,X2) <=> iG850(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG851(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG851])])).
% 58.13/9.47 tff(f98108,plain,(
% 58.13/9.47 spl5880_3463),
% 58.13/9.47 inference(avatar_split_clause,[],[f69492,f98106])).
% 58.13/9.47 tff(f69492,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG894($true) = X0 | iG851(X0,X1,X2) | ~iG850(X0,X1)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f48046,f67338])).
% 58.13/9.47 tff(f48046,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG851(X0,X1,X2) | ~iG850(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38406])).
% 58.13/9.47 tff(f98104,plain,(
% 58.13/9.47 spl5880_3462),
% 58.13/9.47 inference(avatar_split_clause,[],[f69155,f98102])).
% 58.13/9.47 tff(f98102,plain,(
% 58.13/9.47 spl5880_3462 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2336(X1,$true,X0) | sP2335(X1,$true,X0) | ~vEBT_V5719532721284313246member(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3462])])).
% 58.13/9.47 tff(f69155,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2336(X1,$true,X0) | sP2335(X1,$true,X0) | ~vEBT_V5719532721284313246member(X0,X1)) )),
% 58.13/9.47 inference(trivial_inequality_removal,[],[f68603])).
% 58.13/9.47 tff(f68603,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2336(X1,$true,X0) | sP2335(X1,$true,X0) | ($true != $true) | ~vEBT_V5719532721284313246member(X0,X1)) )),
% 58.13/9.47 inference(equality_resolution,[],[f61410])).
% 58.13/9.47 tff(f61410,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : vEBT_VEBT,X1 : nat] : (sP2336(X1,X2,X0) | ($true != X2) | sP2335(X1,X2,X0) | ($true != X2) | ~vEBT_V5719532721284313246member(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f43918])).
% 58.13/9.47 tff(f43918,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (sP2336(X1,X2,X0) | (($true != X2) & vEBT_Node(sK4964(X0),zero_zero(nat),sK4965(X0),sK4966(X0)) = X0) | sP2335(X1,X2,X0) | ((($true != X2) | ~vEBT_V5719532721284313246member(X0,X1)) & (($true = X2) | vEBT_V5719532721284313246member(X0,X1))))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4964,sK4965,sK4966])],[f43916,f43917])).
% 58.13/9.47 tff(f43917,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : vEBT_Node(X3,zero_zero(nat),X4,X5) = X0 => vEBT_Node(sK4964(X0),zero_zero(nat),sK4965(X0),sK4966(X0)) = X0)),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f43916,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (sP2336(X1,X2,X0) | (($true != X2) & ? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : vEBT_Node(X3,zero_zero(nat),X4,X5) = X0) | sP2335(X1,X2,X0) | ((($true != X2) | ~vEBT_V5719532721284313246member(X0,X1)) & (($true = X2) | vEBT_V5719532721284313246member(X0,X1))))),
% 58.13/9.47 inference(rectify,[],[f43915])).
% 58.13/9.47 tff(f43915,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (sP2336(X1,X2,X0) | (($true != X2) & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | sP2335(X1,X2,X0) | ((($true != X2) | ~vEBT_V5719532721284313246member(X0,X1)) & (($true = X2) | vEBT_V5719532721284313246member(X0,X1))))),
% 58.13/9.47 inference(nnf_transformation,[],[f37657])).
% 58.13/9.47 tff(f37657,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (sP2336(X1,X2,X0) | (($true != X2) & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | sP2335(X1,X2,X0) | (vEBT_V5719532721284313246member(X0,X1) <~> ($true = X2)))),
% 58.13/9.47 inference(definition_folding,[],[f35392,f37656,f37655])).
% 58.13/9.47 tff(f35392,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : ((($true = X2) <~> ~iG1480(X10,X9,X1)) & ? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | (($true != X2) & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ? [X3 : $o,X4 : $o] : ((($true = X2) <~> ~iG1478(X1,X4,X3)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0) | (vEBT_V5719532721284313246member(X0,X1) <~> ($true = X2)))),
% 58.13/9.47 inference(flattening,[],[f35391])).
% 58.13/9.47 tff(f35391,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : (((? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : ((($true = X2) <~> ~iG1480(X10,X9,X1)) & ? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | (($true != X2) & ? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0)) | ? [X3 : $o,X4 : $o] : ((($true = X2) <~> ~iG1478(X1,X4,X3)) & vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0)) | (vEBT_V5719532721284313246member(X0,X1) <~> ($true = X2)))),
% 58.13/9.47 inference(ennf_transformation,[],[f26633])).
% 58.13/9.47 tff(f26633,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : ((vEBT_V5719532721284313246member(X0,X1) <=> ($true = X2)) => (! [X3 : $o,X4 : $o] : (vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0 => (($true = X2) <=> ~iG1478(X1,X4,X3))) => ((? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0 => ($true = X2)) => ~! [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : (? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0 => (($true = X2) <=> ~iG1480(X10,X9,X1))))))),
% 58.13/9.47 inference(flattening,[],[f17973])).
% 58.13/9.47 tff(f17973,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : ((vEBT_V5719532721284313246member(X0,X1) <=> ($true = X2)) => (! [X3 : $o,X4 : $o] : (vEBT_Leaf(bG1475(X3),bG1476(X4)) = X0 => (($true = X2) <=> ~iG1478(X1,X4,X3))) => ((? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0 => ($true = X2)) => ~! [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : (? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0 => (($true = X2) <=> ~iG1480(X10,X9,X1))))))),
% 58.13/9.47 inference(fool_elimination,[],[f17966,f17972,f17971,f17970,f17969,f17968,f17967])).
% 58.13/9.47 tff(f17967,plain,(
% 58.13/9.47 ! [X3 : $o] : (($true = X3) <=> ($true = bG1475(X3)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1475])])).
% 58.13/9.47 tff(f17968,plain,(
% 58.13/9.47 ! [X4 : $o] : (($true = X4) <=> ($true = bG1476(X4)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1476])])).
% 58.13/9.47 tff(f17969,plain,(
% 58.13/9.47 ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => (iG1477(X1,X4) <=> $false)) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (iG1477(X1,X4) <=> ($true = X4)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1477])])).
% 58.13/9.47 tff(f17970,plain,(
% 58.13/9.47 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG1478(X1,X4,X3) <=> iG1477(X1,X4))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (iG1478(X1,X4,X3) <=> ($true = X3)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1478])])).
% 58.13/9.47 tff(f17971,plain,(
% 58.13/9.47 ! [X1 : nat,X9 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1479(X1,X9)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1479])])).
% 58.13/9.47 tff(f17972,plain,(
% 58.13/9.47 ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1479(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => (iG1480(X10,X9,X1) <=> $false)) & ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1479(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => (iG1480(X10,X9,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),lG1479(X1,X9)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1480])])).
% 58.13/9.47 tff(f17966,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT,X1 : nat,X2 : $o] : ((vEBT_V5719532721284313246member(X0,X1) <=> X2) => (! [X3 : $o,X4 : $o] : (X0 = vEBT_Leaf(X3,X4) => (X2 <=> ~$ite(zero_zero(nat) = X1, X3,$ite(one_one(nat) = X1, X4,$false)))) => ((? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(X5,zero_zero(nat),X6,X7) = X0 => X2) => ~! [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT)] : (? [X11 : vEBT_VEBT] : vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0 => (X2 <=> ~$let(pos181: nat, pos181 := vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos181),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10)), vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),pos181),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))))))),
% 58.13/9.47 inference(rectify,[],[f1678])).
% 58.13/9.47 tff(f1678,axiom,(
% 58.13/9.47 ! [X9 : vEBT_VEBT,X111 : nat,X18 : $o] : ((vEBT_V5719532721284313246member(X9,X111) <=> X18) => (! [X106 : $o,X107 : $o] : (X9 = vEBT_Leaf(X106,X107) => (X18 <=> ~$ite(zero_zero(nat) = X111, X106,$ite(one_one(nat) = X111, X107,$false)))) => ((? [X115 : option(product_prod(nat,nat)),X116 : list(vEBT_VEBT),X117 : vEBT_VEBT] : vEBT_Node(X115,zero_zero(nat),X116,X117) = X9 => X18) => ~! [X146 : option(product_prod(nat,nat)),X113 : nat,X62 : list(vEBT_VEBT)] : (? [X63 : vEBT_VEBT] : vEBT_Node(X146,aa(nat,nat,suc,X113),X62,X63) = X9 => (X18 <=> ~$let(pos181: nat, pos181 := vEBT_VEBT_high(X111,divide_divide(nat,aa(nat,nat,suc,X113),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),pos181),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X62)), vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X62),pos181),vEBT_VEBT_low(X111,divide_divide(nat,aa(nat,nat,suc,X113),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),$false)))))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1677_VEBT__internal_Onaive__member_Oelims_I1_J)).
% 58.13/9.47 tff(f98100,plain,(
% 58.13/9.47 spl5880_3461),
% 58.13/9.47 inference(avatar_split_clause,[],[f69081,f98098])).
% 58.13/9.47 tff(f98098,plain,(
% 58.13/9.47 spl5880_3461 <=> ! [X2 : $tType,X3 : $tType,X5 : X3,X4 : X2,X6 : X2,X1 : fun(X3,option(X2))] : (X4 = X6 | ~sP2512(X2,X3,X5,X1,X4,X5,X6))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3461])])).
% 58.13/9.47 tff(f69081,plain,(
% 58.13/9.47 ( ! [X3 : $tType,X2 : $tType,X1 : fun(X3,option(X2)),X6 : X2,X4 : X2,X5 : X3] : (X4 = X6 | ~sP2512(X2,X3,X5,X1,X4,X5,X6)) )),
% 58.13/9.47 inference(equality_resolution,[],[f64692])).
% 58.13/9.47 tff(f64692,plain,(
% 58.13/9.47 ( ! [X3 : $tType,X2 : $tType,X0 : X3,X1 : fun(X3,option(X2)),X6 : X2,X4 : X2,X5 : X3] : (X0 != X5 | X4 = X6 | ~sP2512(X2,X3,X0,X1,X4,X5,X6)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f46025])).
% 58.13/9.47 tff(f46025,plain,(
% 58.13/9.47 ! [X0 : X3,X1 : fun(X3,option(X2)),X2 : $tType,X3 : $tType,X4 : X2,X5 : X3,X6 : X2] : ((sP2512(X2,X3,X0,X1,X4,X5,X6) | ((aa(X2,option(X2),some(X2),X4) != aa(X3,option(X2),X1,X0) | X0 = X5) & (X4 != X6 | X0 != X5))) & ((aa(X2,option(X2),some(X2),X4) = aa(X3,option(X2),X1,X0) & X0 != X5) | (X4 = X6 & X0 = X5) | ~sP2512(X2,X3,X0,X1,X4,X5,X6)))),
% 58.13/9.47 inference(rectify,[],[f46024])).
% 58.13/9.47 tff(f46024,plain,(
% 58.13/9.47 ! [X5 : X0,X2 : fun(X0,option(X1)),X1 : $tType,X0 : $tType,X6 : X1,X3 : X0,X4 : X1] : ((sP2512(X1,X0,X5,X2,X6,X3,X4) | ((aa(X1,option(X1),some(X1),X6) != aa(X0,option(X1),X2,X5) | X3 = X5) & (X4 != X6 | X3 != X5))) & ((aa(X1,option(X1),some(X1),X6) = aa(X0,option(X1),X2,X5) & X3 != X5) | (X4 = X6 & X3 = X5) | ~sP2512(X1,X0,X5,X2,X6,X3,X4)))),
% 58.13/9.47 inference(flattening,[],[f46023])).
% 58.13/9.47 tff(f46023,plain,(
% 58.13/9.47 ! [X5 : X0,X2 : fun(X0,option(X1)),X1 : $tType,X0 : $tType,X6 : X1,X3 : X0,X4 : X1] : ((sP2512(X1,X0,X5,X2,X6,X3,X4) | ((aa(X1,option(X1),some(X1),X6) != aa(X0,option(X1),X2,X5) | X3 = X5) & (X4 != X6 | X3 != X5))) & (((aa(X1,option(X1),some(X1),X6) = aa(X0,option(X1),X2,X5) & X3 != X5) | (X4 = X6 & X3 = X5)) | ~sP2512(X1,X0,X5,X2,X6,X3,X4)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37947])).
% 58.13/9.47 tff(f37947,plain,(
% 58.13/9.47 ! [X5 : X0,X2 : fun(X0,option(X1)),X1 : $tType,X0 : $tType,X6 : X1,X3 : X0,X4 : X1] : (sP2512(X1,X0,X5,X2,X6,X3,X4) <=> ((aa(X1,option(X1),some(X1),X6) = aa(X0,option(X1),X2,X5) & X3 != X5) | (X4 = X6 & X3 = X5)))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2512])])).
% 58.13/9.47 tff(f98096,plain,(
% 58.13/9.47 spl5880_3460),
% 58.13/9.47 inference(avatar_split_clause,[],[f68887,f98094])).
% 58.13/9.47 tff(f98094,plain,(
% 58.13/9.47 spl5880_3460 <=> ! [X2 : $o,X3 : $o] : vEBT_Leaf(bG1573(X2),bG1574(X3)) = vEBT_Leaf(bG1571(X2),bG1572(X3))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3460])])).
% 58.13/9.47 tff(f68887,plain,(
% 58.13/9.47 ( ! [X2 : $o,X3 : $o] : (vEBT_Leaf(bG1573(X2),bG1574(X3)) = vEBT_Leaf(bG1571(X2),bG1572(X3))) )),
% 58.13/9.47 inference(equality_resolution,[],[f68886])).
% 58.13/9.47 tff(f68886,plain,(
% 58.13/9.47 ( ! [X2 : $o,X3 : $o,X0 : $o] : (vEBT_Leaf(bG1573(X2),bG1574(X3)) = vEBT_Leaf(bG1571(X0),bG1572(X3)) | (X0 != X2)) )),
% 58.13/9.47 inference(equality_resolution,[],[f63456])).
% 58.13/9.47 tff(f63456,plain,(
% 58.13/9.47 ( ! [X2 : $o,X3 : $o,X0 : $o,X1 : $o] : (vEBT_Leaf(bG1571(X0),bG1572(X1)) = vEBT_Leaf(bG1573(X2),bG1574(X3)) | (X1 != X3) | (X0 != X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45275])).
% 58.13/9.47 tff(f98092,plain,(
% 58.13/9.47 spl5880_3459),
% 58.13/9.47 inference(avatar_split_clause,[],[f68624,f98090])).
% 58.13/9.47 tff(f98090,plain,(
% 58.13/9.47 spl5880_3459 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (X0 = X1 | X1 = X2 | ~sP2345(X0,X1,X2,$true))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3459])])).
% 58.13/9.47 tff(f68624,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : nat,X1 : nat] : (X0 = X1 | X1 = X2 | ~sP2345(X0,X1,X2,$true)) )),
% 58.13/9.47 inference(equality_resolution,[],[f61460])).
% 58.13/9.47 tff(f61460,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : $o,X0 : nat,X1 : nat] : (X0 = X1 | X1 = X2 | ($true != X3) | ~sP2345(X0,X1,X2,X3)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f43983])).
% 58.13/9.47 tff(f43983,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : $o] : (((($true = X3) | (X0 != X1 & X1 != X2)) & (X0 = X1 | X1 = X2 | ($true != X3))) | ~sP2345(X0,X1,X2,X3))),
% 58.13/9.47 inference(rectify,[],[f43982])).
% 58.13/9.47 tff(f43982,plain,(
% 58.13/9.47 ! [X8 : nat,X1 : nat,X7 : nat,X2 : $o] : (((($true = X2) | (X1 != X8 & X1 != X7)) & (X1 = X8 | X1 = X7 | ($true != X2))) | ~sP2345(X8,X1,X7,X2))),
% 58.13/9.47 inference(flattening,[],[f43981])).
% 58.13/9.47 tff(f43981,plain,(
% 58.13/9.47 ! [X8 : nat,X1 : nat,X7 : nat,X2 : $o] : (((($true = X2) | (X1 != X8 & X1 != X7)) & ((X1 = X8 | X1 = X7) | ($true != X2))) | ~sP2345(X8,X1,X7,X2))),
% 58.13/9.47 inference(nnf_transformation,[],[f37668])).
% 58.13/9.47 tff(f37668,plain,(
% 58.13/9.47 ! [X8 : nat,X1 : nat,X7 : nat,X2 : $o] : ((($true = X2) <=> (X1 = X8 | X1 = X7)) | ~sP2345(X8,X1,X7,X2))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2345])])).
% 58.13/9.47 tff(f98088,plain,(
% 58.13/9.47 spl5880_3458),
% 58.13/9.47 inference(avatar_split_clause,[],[f68026,f98086])).
% 58.13/9.47 tff(f98086,plain,(
% 58.13/9.47 spl5880_3458 <=> ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),one2) = one_one(X0) | ~semiring_char_0(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3458])])).
% 58.13/9.47 tff(f68026,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),one2) = one_one(X0) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f54577])).
% 58.13/9.47 tff(f54577,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | one2 != X1 | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39941])).
% 58.13/9.47 tff(f98084,plain,(
% 58.13/9.47 spl5880_3457),
% 58.13/9.47 inference(avatar_split_clause,[],[f67792,f98082])).
% 58.13/9.47 tff(f98082,plain,(
% 58.13/9.47 spl5880_3457 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = X2 | ~dvd_dvd(X0,zero_zero(X0),X2) | ~field(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3457])])).
% 58.13/9.47 tff(f67792,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = X2 | ~dvd_dvd(X0,zero_zero(X0),X2) | ~field(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f52458])).
% 58.13/9.47 tff(f52458,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) != X1 | ~dvd_dvd(X0,X1,X2) | ~field(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39296])).
% 58.13/9.47 tff(f39296,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) = X1)) & (zero_zero(X0) = X2 | zero_zero(X0) != X1 | ~dvd_dvd(X0,X1,X2))) | ~field(X0))),
% 58.13/9.47 inference(flattening,[],[f39295])).
% 58.13/9.47 tff(f39295,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((dvd_dvd(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) = X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) != X1) | ~dvd_dvd(X0,X1,X2))) | ~field(X0))),
% 58.13/9.47 inference(nnf_transformation,[],[f29634])).
% 58.13/9.47 tff(f29634,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) != X1)) | ~field(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23836])).
% 58.13/9.47 tff(f23836,plain,(
% 58.13/9.47 ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) <=> (zero_zero(X0) = X1 => zero_zero(X0) = X2)))),
% 58.13/9.47 inference(rectify,[],[f1954])).
% 58.13/9.47 tff(f1954,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (field(X0) => ! [X11 : X0,X12 : X0] : (dvd_dvd(X0,X11,X12) <=> (zero_zero(X0) = X11 => zero_zero(X0) = X12)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1953_dvd__field__iff)).
% 58.13/9.47 tff(f98080,plain,(
% 58.13/9.47 spl5880_3456),
% 58.13/9.47 inference(avatar_split_clause,[],[f67747,f98078])).
% 58.13/9.47 tff(f98078,plain,(
% 58.13/9.47 spl5880_3456 <=> ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),zero_zero(X0)) | ~linordered_field(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3456])])).
% 58.13/9.47 tff(f67747,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),zero_zero(X0)) | ~linordered_field(X0)) )),
% 58.13/9.47 inference(equality_resolution,[],[f51391])).
% 58.13/9.47 tff(f51391,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) | zero_zero(X0) != X1 | ~linordered_field(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38957])).
% 58.13/9.47 tff(f98076,plain,(
% 58.13/9.47 spl5880_3455),
% 58.13/9.47 inference(avatar_split_clause,[],[f66895,f98074])).
% 58.13/9.47 tff(f98074,plain,(
% 58.13/9.47 spl5880_3455 <=> ! [X3 : int] : aa(int,int,uminus_uminus(int),X3) = iG1564(zero_zero(int),X3)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3455])])).
% 58.13/9.47 tff(f98072,plain,(
% 58.13/9.47 spl5880_3454),
% 58.13/9.47 inference(avatar_split_clause,[],[f65733,f98069])).
% 58.13/9.47 tff(f98069,plain,(
% 58.13/9.47 spl5880_3454 <=> newnode94 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h93),l92)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3454])])).
% 58.13/9.47 tff(f65733,plain,(
% 58.13/9.47 newnode94 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h93),l92)),
% 58.13/9.47 inference(definition_unfolding,[],[f49268,f46124])).
% 58.13/9.47 tff(f49268,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h93),l92) = newnode94),
% 58.13/9.47 inference(cnf_transformation,[],[f9836])).
% 58.13/9.47 tff(f9836,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h93),l92) = newnode94),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f98065,plain,(
% 58.13/9.47 spl5880_3453 | ~spl5880_3452),
% 58.13/9.47 inference(avatar_split_clause,[],[f98060,f98056,f98062])).
% 58.13/9.47 tff(f98056,plain,(
% 58.13/9.47 spl5880_3452 <=> newnode80 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3452])])).
% 58.13/9.47 tff(f98060,plain,(
% 58.13/9.47 newnode74 = newnode80 | ~spl5880_3452),
% 58.13/9.47 inference(forward_demodulation,[],[f98058,f69713])).
% 58.13/9.47 tff(f98058,plain,(
% 58.13/9.47 newnode80 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78) | ~spl5880_3452),
% 58.13/9.47 inference(avatar_component_clause,[],[f98056])).
% 58.13/9.47 tff(f98059,plain,(
% 58.13/9.47 spl5880_3452),
% 58.13/9.47 inference(avatar_split_clause,[],[f65716,f98056])).
% 58.13/9.47 tff(f65716,plain,(
% 58.13/9.47 newnode80 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78)),
% 58.13/9.47 inference(definition_unfolding,[],[f49235,f46124])).
% 58.13/9.47 tff(f49235,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78) = newnode80),
% 58.13/9.47 inference(cnf_transformation,[],[f9861])).
% 58.13/9.47 tff(f9861,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78) = newnode80),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f98054,plain,(
% 58.13/9.47 spl5880_3451),
% 58.13/9.47 inference(avatar_split_clause,[],[f65711,f98051])).
% 58.13/9.47 tff(f98051,plain,(
% 58.13/9.47 spl5880_3451 <=> newnode87 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h86),l85)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3451])])).
% 58.13/9.47 tff(f65711,plain,(
% 58.13/9.47 newnode87 = lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h86),l85)),
% 58.13/9.47 inference(definition_unfolding,[],[f49214,f46124])).
% 58.13/9.47 tff(f49214,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h86),l85) = newnode87),
% 58.13/9.47 inference(cnf_transformation,[],[f9877])).
% 58.13/9.47 tff(f9877,plain,(
% 58.13/9.47 vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h86),l85) = newnode87),
% 58.13/9.47 introduced(fool_let_definition,[])).
% 58.13/9.47 tff(f98049,plain,(
% 58.13/9.47 spl5880_3450),
% 58.13/9.47 inference(avatar_split_clause,[],[f65401,f98047])).
% 58.13/9.47 tff(f98047,plain,(
% 58.13/9.47 spl5880_3450 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1276(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3450])])).
% 58.13/9.47 tff(f65401,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1276(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47184,f47182])).
% 58.13/9.47 tff(f47182,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1277(X4,X3,X2,X1,X0) = lG1276(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f21288])).
% 58.13/9.47 tff(f21288,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1277(X4,X3,X2,X1,X0) = lG1276(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f17631])).
% 58.13/9.47 tff(f17631,plain,(
% 58.13/9.47 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1277(X21,X1,X25,X24,X23) = lG1276(X23,X24,X25,X1,X21)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1276])])).
% 58.13/9.47 tff(f47184,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1277(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27612])).
% 58.13/9.47 tff(f27612,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1277(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1277(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f21290])).
% 58.13/9.47 tff(f21290,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1277(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1277(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f21289])).
% 58.13/9.47 tff(f21289,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1277(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1277(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f17630])).
% 58.13/9.47 tff(f17630,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1277(X21,X1,X25,X24,X23) = X1) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))) = iG1277(X21,X1,X25,X24,X23))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1277])])).
% 58.13/9.47 tff(f98045,plain,(
% 58.13/9.47 spl5880_3449),
% 58.13/9.47 inference(avatar_split_clause,[],[f65391,f98043])).
% 58.13/9.47 tff(f98043,plain,(
% 58.13/9.47 spl5880_3449 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1304(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3449])])).
% 58.13/9.47 tff(f65391,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1304(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47133,f47131])).
% 58.13/9.47 tff(f47131,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1305(X4,X3,X2,X1,X0) = lG1304(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f21253])).
% 58.13/9.47 tff(f21253,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1305(X4,X3,X2,X1,X0) = lG1304(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f17661])).
% 58.13/9.47 tff(f17661,plain,(
% 58.13/9.47 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1305(X21,X1,X25,X24,X23) = lG1304(X23,X24,X25,X1,X21)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1304])])).
% 58.13/9.47 tff(f47133,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1305(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27601])).
% 58.13/9.47 tff(f27601,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1305(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1305(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f21255])).
% 58.13/9.47 tff(f21255,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1305(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1305(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f21254])).
% 58.13/9.47 tff(f21254,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1305(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1305(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f17660])).
% 58.13/9.47 tff(f17660,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1305(X21,X1,X25,X24,X23) = X1) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))) = iG1305(X21,X1,X25,X24,X23))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1305])])).
% 58.13/9.47 tff(f98041,plain,(
% 58.13/9.47 spl5880_3448),
% 58.13/9.47 inference(avatar_split_clause,[],[f65381,f98039])).
% 58.13/9.47 tff(f98039,plain,(
% 58.13/9.47 spl5880_3448 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1329(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3448])])).
% 58.13/9.47 tff(f65381,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1329(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47088,f47086])).
% 58.13/9.47 tff(f47086,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1330(X4,X3,X2,X1,X0) = lG1329(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f21222])).
% 58.13/9.47 tff(f21222,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1330(X4,X3,X2,X1,X0) = lG1329(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f17690])).
% 58.13/9.47 tff(f17690,plain,(
% 58.13/9.47 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1330(X21,X1,X25,X24,X23) = lG1329(X23,X24,X25,X1,X21)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1329])])).
% 58.13/9.47 tff(f47088,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1330(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27591])).
% 58.13/9.47 tff(f27591,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1330(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1330(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f21224])).
% 58.13/9.47 tff(f21224,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1330(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1330(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f21223])).
% 58.13/9.47 tff(f21223,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1330(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1330(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f17689])).
% 58.13/9.47 tff(f17689,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1330(X21,X1,X25,X24,X23) = X1) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))) = iG1330(X21,X1,X25,X24,X23))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1330])])).
% 58.13/9.47 tff(f98037,plain,(
% 58.13/9.47 spl5880_3447),
% 58.13/9.47 inference(avatar_split_clause,[],[f65379,f98035])).
% 58.13/9.47 tff(f98035,plain,(
% 58.13/9.47 spl5880_3447 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1331(X4,X3,X2,X1,X0) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3447])])).
% 58.13/9.47 tff(f65379,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1331(X4,X3,X2,X1,X0) = X0 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47085,f47083])).
% 58.13/9.47 tff(f47085,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1332(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27590])).
% 58.13/9.47 tff(f98033,plain,(
% 58.13/9.47 spl5880_3446),
% 58.13/9.47 inference(avatar_split_clause,[],[f65370,f98031])).
% 58.13/9.47 tff(f98031,plain,(
% 58.13/9.47 spl5880_3446 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1361(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3446])])).
% 58.13/9.47 tff(f65370,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1361(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47029,f47027])).
% 58.13/9.47 tff(f47027,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1362(X4,X3,X2,X1,X0) = lG1361(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f21183])).
% 58.13/9.47 tff(f21183,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1362(X4,X3,X2,X1,X0) = lG1361(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f17724])).
% 58.13/9.47 tff(f17724,plain,(
% 58.13/9.47 ! [X23 : nat,X24 : list(vEBT_VEBT),X25 : vEBT_VEBT,X1 : nat,X21 : nat] : iG1362(X21,X1,X25,X24,X23) = lG1361(X23,X24,X25,X1,X21)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1361])])).
% 58.13/9.47 tff(f47029,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1362(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27580])).
% 58.13/9.47 tff(f27580,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1362(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1362(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f21185])).
% 58.13/9.47 tff(f21185,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1362(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1362(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f21184])).
% 58.13/9.47 tff(f21184,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1362(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1362(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f17723])).
% 58.13/9.47 tff(f17723,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (~X1 = X21 => iG1362(X21,X1,X25,X24,X23) = X1) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT),X23 : nat] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X23)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))) = iG1362(X21,X1,X25,X24,X23))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1362])])).
% 58.13/9.47 tff(f98029,plain,(
% 58.13/9.47 spl5880_3445),
% 58.13/9.47 inference(avatar_split_clause,[],[f65368,f98027])).
% 58.13/9.47 tff(f98027,plain,(
% 58.13/9.47 spl5880_3445 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1363(X4,X3,X2,X1,X0) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3445])])).
% 58.13/9.47 tff(f65368,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1363(X4,X3,X2,X1,X0) = X0 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f47026,f47024])).
% 58.13/9.47 tff(f47026,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1364(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27579])).
% 58.13/9.47 tff(f98025,plain,(
% 58.13/9.47 spl5880_3444),
% 58.13/9.47 inference(avatar_split_clause,[],[f65162,f98023])).
% 58.13/9.47 tff(f98023,plain,(
% 58.13/9.47 spl5880_3444 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1683(X4,X3,X2,X1,X0) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3444])])).
% 58.13/9.47 tff(f65162,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1683(X4,X3,X2,X1,X0) = X0 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f46390,f46388])).
% 58.13/9.47 tff(f46388,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1684(X4,X3,X2,X1,X0) = lG1683(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f20706])).
% 58.13/9.47 tff(f20706,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1684(X4,X3,X2,X1,X0) = lG1683(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f19952])).
% 58.13/9.47 tff(f19952,plain,(
% 58.13/9.47 ! [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat,X5 : nat] : iG1684(X5,X0,X4,X3,X2) = lG1683(X2,X3,X4,X0,X5)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1683])])).
% 58.13/9.47 tff(f46390,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1684(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27390])).
% 58.13/9.47 tff(f27390,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1684(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1684(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20708])).
% 58.13/9.47 tff(f20708,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1684(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1684(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20707])).
% 58.13/9.47 tff(f20707,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1684(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1684(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f19951])).
% 58.13/9.47 tff(f19951,plain,(
% 58.13/9.47 ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (~X0 = X5 => iG1684(X5,X0,X4,X3,X2) = X5) & ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (X0 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X4))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X4)))))) = iG1684(X5,X0,X4,X3,X2))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1684])])).
% 58.13/9.47 tff(f98021,plain,(
% 58.13/9.47 spl5880_3443),
% 58.13/9.47 inference(avatar_split_clause,[],[f65152,f98019])).
% 58.13/9.47 tff(f98019,plain,(
% 58.13/9.47 spl5880_3443 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1698(X4,X3,X2,X1,X0) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3443])])).
% 58.13/9.47 tff(f65152,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1698(X4,X3,X2,X1,X0) = X0 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f46365,f46363])).
% 58.13/9.47 tff(f46363,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1699(X4,X3,X2,X1,X0) = lG1698(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f20685])).
% 58.13/9.47 tff(f20685,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1699(X4,X3,X2,X1,X0) = lG1698(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f19969])).
% 58.13/9.47 tff(f19969,plain,(
% 58.13/9.47 ! [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat,X5 : nat] : iG1699(X5,X0,X4,X3,X2) = lG1698(X2,X3,X4,X0,X5)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1698])])).
% 58.13/9.47 tff(f46365,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1699(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27380])).
% 58.13/9.47 tff(f27380,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1699(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1699(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20687])).
% 58.13/9.47 tff(f20687,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1699(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1699(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20686])).
% 58.13/9.47 tff(f20686,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1699(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X9)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1699(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f19968])).
% 58.13/9.47 tff(f19968,plain,(
% 58.13/9.47 ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (~X0 = X5 => iG1699(X5,X0,X4,X3,X2) = X5) & ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X2 : nat] : (X0 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X4))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X4)))))) = iG1699(X5,X0,X4,X3,X2))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1699])])).
% 58.13/9.47 tff(f98017,plain,(
% 58.13/9.47 spl5880_3442),
% 58.13/9.47 inference(avatar_split_clause,[],[f65150,f98015])).
% 58.13/9.47 tff(f98015,plain,(
% 58.13/9.47 spl5880_3442 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1700(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3442])])).
% 58.13/9.47 tff(f65150,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1700(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f46362,f46360])).
% 58.13/9.47 tff(f46362,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1701(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27379])).
% 58.13/9.47 tff(f98013,plain,(
% 58.13/9.47 spl5880_3441),
% 58.13/9.47 inference(avatar_split_clause,[],[f65126,f98011])).
% 58.13/9.47 tff(f98011,plain,(
% 58.13/9.47 spl5880_3441 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1727(X4,X3,X2,X1,X0) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3441])])).
% 58.13/9.47 tff(f65126,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1727(X4,X3,X2,X1,X0) = X0 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f46318,f46316])).
% 58.13/9.47 tff(f46316,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : nat] : (iG1728(X4,X3,X2,X1,X0) = lG1727(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f20642])).
% 58.13/9.47 tff(f20642,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat,X4 : nat] : iG1728(X4,X3,X2,X1,X0) = lG1727(X0,X1,X2,X3,X4)),
% 58.13/9.47 inference(rectify,[],[f20050])).
% 58.13/9.47 tff(f20050,plain,(
% 58.13/9.47 ! [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT,X0 : nat,X1 : nat] : iG1728(X1,X0,X5,X4,X3) = lG1727(X3,X4,X5,X0,X1)),
% 58.13/9.47 introduced(fool_let_definition,[new_symbols(definition,[lG1727])])).
% 58.13/9.47 tff(f46318,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1728(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27362])).
% 58.13/9.47 tff(f27362,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (iG1728(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1728(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20644])).
% 58.13/9.47 tff(f20644,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1728(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1728(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20643])).
% 58.13/9.47 tff(f20643,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1728(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X7)))))) = iG1728(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f20049])).
% 58.13/9.47 tff(f20049,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (~X0 = X1 => iG1728(X1,X0,X5,X4,X3) = X1) & ! [X1 : nat,X0 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : 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),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X5))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X4),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X5)))))) = iG1728(X1,X0,X5,X4,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1728])])).
% 58.13/9.47 tff(f98009,plain,(
% 58.13/9.47 spl5880_3440),
% 58.13/9.47 inference(avatar_split_clause,[],[f65124,f98007])).
% 58.13/9.47 tff(f98007,plain,(
% 58.13/9.47 spl5880_3440 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (lG1729(X4,X3,X2,X1,X0) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3440])])).
% 58.13/9.47 tff(f65124,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (lG1729(X4,X3,X2,X1,X0) = X1 | X0 = X1) )),
% 58.13/9.47 inference(definition_unfolding,[],[f46315,f46313])).
% 58.13/9.47 tff(f46315,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1730(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27361])).
% 58.13/9.47 tff(f98005,plain,(
% 58.13/9.47 spl5880_3439),
% 58.13/9.47 inference(avatar_split_clause,[],[f64264,f98003])).
% 58.13/9.47 tff(f98003,plain,(
% 58.13/9.47 spl5880_3439 <=> ! [X3 : vEBT_VEBT,X4 : $o,X0 : option(product_prod(nat,nat)),X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(bG1601(X4),bG1602(X5))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3439])])).
% 58.13/9.47 tff(f64264,plain,(
% 58.13/9.47 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : $o,X5 : $o] : (vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(bG1601(X4),bG1602(X5))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f19837])).
% 58.13/9.47 tff(f19837,plain,(
% 58.13/9.47 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : $o,X5 : $o] : vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(bG1601(X4),bG1602(X5))),
% 58.13/9.47 inference(fool_elimination,[],[f19834,f19836,f19835])).
% 58.13/9.47 tff(f19835,plain,(
% 58.13/9.47 ! [X4 : $o] : (($true = X4) <=> ($true = bG1601(X4)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1601])])).
% 58.13/9.47 tff(f19836,plain,(
% 58.13/9.47 ! [X5 : $o] : (($true = X5) <=> ($true = bG1602(X5)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1602])])).
% 58.13/9.47 tff(f19834,plain,(
% 58.13/9.47 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : $o,X5 : $o] : vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(X4,X5)),
% 58.13/9.47 inference(rectify,[],[f1061])).
% 58.13/9.47 tff(f1061,axiom,(
% 58.13/9.47 ! [X84 : option(product_prod(nat,nat)),X85 : nat,X86 : list(vEBT_VEBT),X87 : vEBT_VEBT,X139 : $o,X140 : $o] : vEBT_Node(X84,X85,X86,X87) != vEBT_Leaf(X139,X140)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1060_VEBT_Odistinct_I1_J)).
% 58.13/9.47 tff(f98001,plain,(
% 58.13/9.47 spl5880_3438),
% 58.13/9.47 inference(avatar_split_clause,[],[f63797,f97999])).
% 58.13/9.47 tff(f97999,plain,(
% 58.13/9.47 spl5880_3438 <=> ! [X0 : $tType,X4 : option(X0),X3 : option(X0),X2 : option(X0),X1 : fun(X0,fun(X0,X0))] : (none(X0) = X2 | ~sP2463(X0,X1,X2,X3,X4))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3438])])).
% 58.13/9.47 tff(f63797,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : option(X0),X3 : option(X0),X1 : fun(X0,fun(X0,X0)),X4 : option(X0)] : (none(X0) = X2 | ~sP2463(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45452])).
% 58.13/9.47 tff(f45452,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : option(X0),X3 : option(X0),X4 : option(X0)] : ((($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),sK5563(X0,X1,X2,X3,X4))),none(X0))))) & none(X0) = X2 & none(X0) = X3 & aa(X0,option(X0),some(X0),sK5563(X0,X1,X2,X3,X4)) = X4) | ~sP2463(X0,X1,X2,X3,X4))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5563])],[f45450,f45451])).
% 58.13/9.47 tff(f45451,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : option(X0),X3 : option(X0),X4 : option(X0)] : (? [X5 : X0] : (($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),X5)),none(X0))))) & none(X0) = X2 & none(X0) = X3 & aa(X0,option(X0),some(X0),X5) = X4) => (($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),sK5563(X0,X1,X2,X3,X4))),none(X0))))) & none(X0) = X2 & none(X0) = X3 & aa(X0,option(X0),some(X0),sK5563(X0,X1,X2,X3,X4)) = X4))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f45450,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : option(X0),X3 : option(X0),X4 : option(X0)] : (? [X5 : X0] : (($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),X5)),none(X0))))) & none(X0) = X2 & none(X0) = X3 & aa(X0,option(X0),some(X0),X5) = X4) | ~sP2463(X0,X1,X2,X3,X4))),
% 58.13/9.47 inference(rectify,[],[f45449])).
% 58.13/9.47 tff(f45449,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X4 : option(X0),X3 : option(X0),X2 : option(X0)] : (? [X5 : X0] : (($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),X5)),none(X0))))) & none(X0) = X4 & none(X0) = X3 & aa(X0,option(X0),some(X0),X5) = X2) | ~sP2463(X0,X1,X4,X3,X2))),
% 58.13/9.47 inference(nnf_transformation,[],[f37859])).
% 58.13/9.47 tff(f37859,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X4 : option(X0),X3 : option(X0),X2 : option(X0)] : (? [X5 : X0] : (($true = aa(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o,accp(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),vEBT_V459564278314245337ft_rel(X0)),aa(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),aa(fun(X0,fun(X0,X0)),fun(product_prod(option(X0),option(X0)),product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))),product_Pair(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),X1),aa(option(X0),product_prod(option(X0),option(X0)),aa(option(X0),fun(option(X0),product_prod(option(X0),option(X0))),product_Pair(option(X0),option(X0)),aa(X0,option(X0),some(X0),X5)),none(X0))))) & none(X0) = X4 & none(X0) = X3 & aa(X0,option(X0),some(X0),X5) = X2) | ~sP2463(X0,X1,X4,X3,X2))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2463])])).
% 58.13/9.47 tff(f97997,plain,(
% 58.13/9.47 spl5880_3437),
% 58.13/9.47 inference(avatar_split_clause,[],[f63796,f97995])).
% 58.13/9.47 tff(f97995,plain,(
% 58.13/9.47 spl5880_3437 <=> ! [X0 : $tType,X4 : option(X0),X3 : option(X0),X2 : option(X0),X1 : fun(X0,fun(X0,X0))] : (none(X0) = X3 | ~sP2463(X0,X1,X2,X3,X4))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3437])])).
% 58.13/9.47 tff(f63796,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : option(X0),X3 : option(X0),X1 : fun(X0,fun(X0,X0)),X4 : option(X0)] : (none(X0) = X3 | ~sP2463(X0,X1,X2,X3,X4)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45452])).
% 58.13/9.47 tff(f97993,plain,(
% 58.13/9.47 spl5880_3436),
% 58.13/9.47 inference(avatar_split_clause,[],[f63251,f97991])).
% 58.13/9.47 tff(f97991,plain,(
% 58.13/9.47 spl5880_3436 <=> ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5457(X0,X1,X2),X1) | ~sP2445(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3436])])).
% 58.13/9.47 tff(f63251,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5457(X0,X1,X2),X1) | ~sP2445(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45133])).
% 58.13/9.47 tff(f97989,plain,(
% 58.13/9.47 spl5880_3435),
% 58.13/9.47 inference(avatar_split_clause,[],[f63238,f97987])).
% 58.13/9.47 tff(f97987,plain,(
% 58.13/9.47 spl5880_3435 <=> ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5449(X0,X1,X2),X1) | ~sP2442(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3435])])).
% 58.13/9.47 tff(f63238,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : fun(int,$o),X1 : set(int)] : (member(int,sK5449(X0,X1,X2),X1) | ~sP2442(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45114])).
% 58.13/9.47 tff(f97985,plain,(
% 58.13/9.47 spl5880_3434),
% 58.13/9.47 inference(avatar_split_clause,[],[f63149,f97983])).
% 58.13/9.47 tff(f97983,plain,(
% 58.13/9.47 spl5880_3434 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5412(X0,X1,X2),X1) | ~sP2432(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3434])])).
% 58.13/9.47 tff(f63149,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5412(X0,X1,X2),X1) | ~sP2432(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45032])).
% 58.13/9.47 tff(f97981,plain,(
% 58.13/9.47 spl5880_3433),
% 58.13/9.47 inference(avatar_split_clause,[],[f63138,f97979])).
% 58.13/9.47 tff(f97979,plain,(
% 58.13/9.47 spl5880_3433 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5408(X0,X1,X2),X1) | ~sP2429(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3433])])).
% 58.13/9.47 tff(f63138,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5408(X0,X1,X2),X1) | ~sP2429(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45018])).
% 58.13/9.47 tff(f97977,plain,(
% 58.13/9.47 spl5880_3432),
% 58.13/9.47 inference(avatar_split_clause,[],[f63127,f97975])).
% 58.13/9.47 tff(f97975,plain,(
% 58.13/9.47 spl5880_3432 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5404(X0,X1,X2),X1) | ~sP2426(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3432])])).
% 58.13/9.47 tff(f63127,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5404(X0,X1,X2),X1) | ~sP2426(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f45004])).
% 58.13/9.47 tff(f97973,plain,(
% 58.13/9.47 spl5880_3431),
% 58.13/9.47 inference(avatar_split_clause,[],[f63116,f97971])).
% 58.13/9.47 tff(f97971,plain,(
% 58.13/9.47 spl5880_3431 <=> ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5400(X0,X1,X2),X1) | ~sP2423(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3431])])).
% 58.13/9.47 tff(f63116,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : int,X1 : set(int)] : (member(int,sK5400(X0,X1,X2),X1) | ~sP2423(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44990])).
% 58.13/9.47 tff(f97969,plain,(
% 58.13/9.47 spl5880_3430),
% 58.13/9.47 inference(avatar_split_clause,[],[f62871,f97967])).
% 58.13/9.47 tff(f97967,plain,(
% 58.13/9.47 spl5880_3430 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (member(X0,sK5318(X0,X1,X2),X2) | ~sP2411(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3430])])).
% 58.13/9.47 tff(f62871,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (member(X0,sK5318(X0,X1,X2),X2) | ~sP2411(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44815])).
% 58.13/9.47 tff(f97965,plain,(
% 58.13/9.47 spl5880_3429),
% 58.13/9.47 inference(avatar_split_clause,[],[f62865,f97963])).
% 58.13/9.47 tff(f97963,plain,(
% 58.13/9.47 spl5880_3429 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (member(X0,sK5316(X0,X1,X2),X2) | ~sP2410(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3429])])).
% 58.13/9.47 tff(f62865,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (member(X0,sK5316(X0,X1,X2),X2) | ~sP2410(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44811])).
% 58.13/9.47 tff(f97961,plain,(
% 58.13/9.47 spl5880_3428),
% 58.13/9.47 inference(avatar_split_clause,[],[f62251,f97959])).
% 58.13/9.47 tff(f97959,plain,(
% 58.13/9.47 spl5880_3428 <=> ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2) | ~iG1538(X2,X1,X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3428])])).
% 58.13/9.47 tff(f62251,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2) | ~iG1538(X2,X1,X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44534])).
% 58.13/9.47 tff(f44534,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o,X2 : nat] : ((vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2) | ~iG1538(X2,X1,X0)) & (iG1538(X2,X1,X0) | ~vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2)))),
% 58.13/9.47 inference(nnf_transformation,[],[f18689])).
% 58.13/9.47 tff(f18689,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2) <=> iG1538(X2,X1,X0))),
% 58.13/9.47 inference(fool_elimination,[],[f18684,f18688,f18687,f18686,f18685])).
% 58.13/9.47 tff(f18685,plain,(
% 58.13/9.47 ! [X0 : $o] : (($true = X0) <=> ($true = bG1535(X0)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1535])])).
% 58.13/9.47 tff(f18686,plain,(
% 58.13/9.47 ! [X1 : $o] : (($true = X1) <=> ($true = bG1536(X1)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG1536])])).
% 58.13/9.47 tff(f18687,plain,(
% 58.13/9.47 ! [X2 : nat,X1 : $o] : (~one_one(nat) = X2 => (iG1537(X2,X1) <=> $false)) & ! [X2 : nat,X1 : $o] : (one_one(nat) = X2 => (iG1537(X2,X1) <=> ($true = X1)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1537])])).
% 58.13/9.47 tff(f18688,plain,(
% 58.13/9.47 ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => (iG1538(X2,X1,X0) <=> iG1537(X2,X1))) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => (iG1538(X2,X1,X0) <=> ($true = X0)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1538])])).
% 58.13/9.47 tff(f18684,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) <=> $ite(zero_zero(nat) = X2, X0,$ite(one_one(nat) = X2, X1,$false)))),
% 58.13/9.47 inference(rectify,[],[f1633])).
% 58.13/9.47 tff(f1633,axiom,(
% 58.13/9.47 ! [X11 : $o,X12 : $o,X9 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X11,X12),X9) <=> $ite(zero_zero(nat) = X9, X11,$ite(one_one(nat) = X9, X12,$false)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1632_VEBT__internal_Onaive__member_Osimps_I1_J)).
% 58.13/9.47 tff(f97957,plain,(
% 58.13/9.47 spl5880_3427),
% 58.13/9.47 inference(avatar_split_clause,[],[f62250,f97955])).
% 58.13/9.47 tff(f97955,plain,(
% 58.13/9.47 spl5880_3427 <=> ! [X2 : nat,X0 : $o,X1 : $o] : (iG1538(X2,X1,X0) | ~vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3427])])).
% 58.13/9.47 tff(f62250,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (iG1538(X2,X1,X0) | ~vEBT_V5719532721284313246member(vEBT_Leaf(bG1535(X0),bG1536(X1)),X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44534])).
% 58.13/9.47 tff(f97953,plain,(
% 58.13/9.47 spl5880_3426),
% 58.13/9.47 inference(avatar_split_clause,[],[f62098,f97951])).
% 58.13/9.47 tff(f97951,plain,(
% 58.13/9.47 spl5880_3426 <=> ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (sP2386(X1,sK5229(X1,X0,X2),X0) | ~sP2387(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3426])])).
% 58.13/9.47 tff(f62098,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (sP2386(X1,sK5229(X1,X0,X2),X0) | ~sP2387(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44408])).
% 58.13/9.47 tff(f44408,plain,(
% 58.13/9.47 ! [X0 : list(X1),X1 : $tType,X2 : list(X1)] : ((sP2387(X1,X0,X2) | ! [X3 : fun(nat,nat)] : (~sP2386(X1,X3,X0) | (aa(nat,X1,nth(X1,X0),sK5228(X1,X0,X2,X3)) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,sK5228(X1,X0,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5228(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))) | aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) | ~order_mono(nat,nat,X3))) & ((sP2386(X1,sK5229(X1,X0,X2),X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,sK5229(X1,X0,X2),X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = aa(set(nat),set(nat),image(nat,nat,sK5229(X1,X0,X2)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,sK5229(X1,X0,X2))) | ~sP2387(X1,X0,X2)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5228,sK5229])],[f44405,f44407,f44406])).
% 58.13/9.47 tff(f44406,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : list(X1),X2 : list(X1),X3 : fun(nat,nat)] : (? [X4 : nat] : (aa(nat,X1,nth(X1,X0),X4) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0)))) => (aa(nat,X1,nth(X1,X0),sK5228(X1,X0,X2,X3)) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,sK5228(X1,X0,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5228(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f44407,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : list(X1),X2 : list(X1)] : (? [X5 : fun(nat,nat)] : (sP2386(X1,X5,X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,X5,X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = aa(set(nat),set(nat),image(nat,nat,X5),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,X5)) => (sP2386(X1,sK5229(X1,X0,X2),X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,sK5229(X1,X0,X2),X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = aa(set(nat),set(nat),image(nat,nat,sK5229(X1,X0,X2)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,sK5229(X1,X0,X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f44405,plain,(
% 58.13/9.47 ! [X0 : list(X1),X1 : $tType,X2 : list(X1)] : ((sP2387(X1,X0,X2) | ! [X3 : fun(nat,nat)] : (~sP2386(X1,X3,X0) | ? [X4 : nat] : (aa(nat,X1,nth(X1,X0),X4) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0)))) | aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) | ~order_mono(nat,nat,X3))) & (? [X5 : fun(nat,nat)] : (sP2386(X1,X5,X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,X5,X6)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = aa(set(nat),set(nat),image(nat,nat,X5),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,X5)) | ~sP2387(X1,X0,X2)))),
% 58.13/9.47 inference(rectify,[],[f44404])).
% 58.13/9.47 tff(f44404,plain,(
% 58.13/9.47 ! [X1 : list(X0),X0 : $tType,X2 : list(X0)] : ((sP2387(X0,X1,X2) | ! [X3 : fun(nat,nat)] : (~sP2386(X0,X3,X1) | ? [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) != aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) | ~order_mono(nat,nat,X3))) & (? [X3 : fun(nat,nat)] : (sP2386(X0,X3,X1) & ! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)) | ~sP2387(X0,X1,X2)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37733])).
% 58.13/9.47 tff(f37733,plain,(
% 58.13/9.47 ! [X1 : list(X0),X0 : $tType,X2 : list(X0)] : (sP2387(X0,X1,X2) <=> ? [X3 : fun(nat,nat)] : (sP2386(X0,X3,X1) & ! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2387])])).
% 58.13/9.47 tff(f97949,plain,(
% 58.13/9.47 spl5880_3425),
% 58.13/9.47 inference(avatar_split_clause,[],[f62095,f97947])).
% 58.13/9.47 tff(f97947,plain,(
% 58.13/9.47 spl5880_3425 <=> ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (order_mono(nat,nat,sK5229(X1,X0,X2)) | ~sP2387(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3425])])).
% 58.13/9.47 tff(f62095,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (order_mono(nat,nat,sK5229(X1,X0,X2)) | ~sP2387(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44408])).
% 58.13/9.47 tff(f97945,plain,(
% 58.13/9.47 spl5880_3424),
% 58.13/9.47 inference(avatar_split_clause,[],[f62070,f97943])).
% 58.13/9.47 tff(f97943,plain,(
% 58.13/9.47 spl5880_3424 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (zero_zero(int) != sK5221(X0,X1,X2) | ~sP2381(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3424])])).
% 58.13/9.47 tff(f62070,plain,(
% 58.13/9.47 ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (zero_zero(int) != sK5221(X0,X1,X2) | ~sP2381(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f44386])).
% 58.13/9.47 tff(f44386,plain,(
% 58.13/9.47 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP2381(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X5),X3) != X4 | zero_zero(int) = X3 | aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),zero_zero(int)) != X0 | X1 != X3 | X2 != X4)) & ((sK5222(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),times_times(int),sK5223(X0,X1,X2)),sK5221(X0,X1,X2)) & zero_zero(int) != sK5221(X0,X1,X2) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK5223(X0,X1,X2)),zero_zero(int)) = X0 & sK5221(X0,X1,X2) = X1 & sK5222(X0,X1,X2) = X2) | ~sP2381(X0,X1,X2)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5221,sK5222,sK5223])],[f44384,f44385])).
% 58.13/9.47 tff(f44385,plain,(
% 58.13/9.47 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : (? [X6 : int,X7 : int,X8 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X8),X6) = X7 & zero_zero(int) != X6 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X8),zero_zero(int)) = X0 & X1 = X6 & X2 = X7) => (sK5222(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),times_times(int),sK5223(X0,X1,X2)),sK5221(X0,X1,X2)) & zero_zero(int) != sK5221(X0,X1,X2) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK5223(X0,X1,X2)),zero_zero(int)) = X0 & sK5221(X0,X1,X2) = X1 & sK5222(X0,X1,X2) = X2))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f44384,plain,(
% 58.13/9.47 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP2381(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X5),X3) != X4 | zero_zero(int) = X3 | aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X5),zero_zero(int)) != X0 | X1 != X3 | X2 != X4)) & (? [X6 : int,X7 : int,X8 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X8),X6) = X7 & zero_zero(int) != X6 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X8),zero_zero(int)) = X0 & X1 = X6 & X2 = X7) | ~sP2381(X0,X1,X2)))),
% 58.13/9.47 inference(rectify,[],[f44383])).
% 58.13/9.47 tff(f44383,plain,(
% 58.13/9.47 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : ((sP2381(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)) & (? [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) | ~sP2381(X2,X1,X0)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37724])).
% 58.13/9.47 tff(f37724,plain,(
% 58.13/9.47 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP2381(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))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2381])])).
% 58.13/9.47 tff(f97941,plain,(
% 58.13/9.47 spl5880_3423),
% 58.13/9.47 inference(avatar_split_clause,[],[f60891,f97939])).
% 58.13/9.47 tff(f97939,plain,(
% 58.13/9.47 spl5880_3423 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,one2) = X0 | ~sP2240(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3423])])).
% 58.13/9.47 tff(f60891,plain,(
% 58.13/9.47 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,one2) = X0 | ~sP2240(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f43408])).
% 58.13/9.47 tff(f97937,plain,(
% 58.13/9.47 spl5880_3422),
% 58.13/9.47 inference(avatar_split_clause,[],[f60860,f97935])).
% 58.13/9.47 tff(f97935,plain,(
% 58.13/9.47 spl5880_3422 <=> ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,one2) = X0 | ~sP2232(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3422])])).
% 58.13/9.47 tff(f60860,plain,(
% 58.13/9.47 ( ! [X2 : num,X0 : num,X1 : num] : (aa(num,num,bit0,one2) = X0 | ~sP2232(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f43371])).
% 58.13/9.47 tff(f97933,plain,(
% 58.13/9.47 spl5880_3421),
% 58.13/9.47 inference(avatar_split_clause,[],[f60522,f97931])).
% 58.13/9.47 tff(f97931,plain,(
% 58.13/9.47 spl5880_3421 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,fun(X1,$o))] : (sorted_wrt(X1,X0,sK4315(X1,X0,X2)) | ~sP2142(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3421])])).
% 58.13/9.47 tff(f60522,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,fun(X1,$o))] : (sorted_wrt(X1,X0,sK4315(X1,X0,X2)) | ~sP2142(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42920])).
% 58.13/9.47 tff(f42920,plain,(
% 58.13/9.47 ! [X0 : fun(X1,fun(X1,$o)),X1 : $tType,X2 : list(X1)] : ((sorted_wrt(X1,X0,sK4315(X1,X0,X2)) & ! [X5 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,sK4314(X1,X0,X2)),X5)) | ~member(X1,X5,aa(list(X1),set(X1),set2(X1),sK4315(X1,X0,X2)))) & ($true = aa(product_prod(fun(X1,fun(X1,$o)),list(X1)),$o,accp(product_prod(fun(X1,fun(X1,$o)),list(X1)),sorted_wrt_rel(X1)),aa(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1)),aa(fun(X1,fun(X1,$o)),fun(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1))),product_Pair(fun(X1,fun(X1,$o)),list(X1)),X0),aa(list(X1),list(X1),cons(X1,sK4314(X1,X0,X2)),sK4315(X1,X0,X2))))) & aa(list(X1),list(X1),cons(X1,sK4314(X1,X0,X2)),sK4315(X1,X0,X2)) = X2) | ~sP2142(X1,X0,X2))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4314,sK4315])],[f42918,f42919])).
% 58.13/9.47 tff(f42919,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : fun(X1,fun(X1,$o)),X2 : list(X1)] : (? [X3 : X1,X4 : list(X1)] : (sorted_wrt(X1,X0,X4) & ! [X5 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,X3),X5)) | ~member(X1,X5,aa(list(X1),set(X1),set2(X1),X4))) & ($true = aa(product_prod(fun(X1,fun(X1,$o)),list(X1)),$o,accp(product_prod(fun(X1,fun(X1,$o)),list(X1)),sorted_wrt_rel(X1)),aa(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1)),aa(fun(X1,fun(X1,$o)),fun(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1))),product_Pair(fun(X1,fun(X1,$o)),list(X1)),X0),aa(list(X1),list(X1),cons(X1,X3),X4)))) & aa(list(X1),list(X1),cons(X1,X3),X4) = X2) => (sorted_wrt(X1,X0,sK4315(X1,X0,X2)) & ! [X5 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,sK4314(X1,X0,X2)),X5)) | ~member(X1,X5,aa(list(X1),set(X1),set2(X1),sK4315(X1,X0,X2)))) & ($true = aa(product_prod(fun(X1,fun(X1,$o)),list(X1)),$o,accp(product_prod(fun(X1,fun(X1,$o)),list(X1)),sorted_wrt_rel(X1)),aa(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1)),aa(fun(X1,fun(X1,$o)),fun(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1))),product_Pair(fun(X1,fun(X1,$o)),list(X1)),X0),aa(list(X1),list(X1),cons(X1,sK4314(X1,X0,X2)),sK4315(X1,X0,X2))))) & aa(list(X1),list(X1),cons(X1,sK4314(X1,X0,X2)),sK4315(X1,X0,X2)) = X2))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f42918,plain,(
% 58.13/9.47 ! [X0 : fun(X1,fun(X1,$o)),X1 : $tType,X2 : list(X1)] : (? [X3 : X1,X4 : list(X1)] : (sorted_wrt(X1,X0,X4) & ! [X5 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,X3),X5)) | ~member(X1,X5,aa(list(X1),set(X1),set2(X1),X4))) & ($true = aa(product_prod(fun(X1,fun(X1,$o)),list(X1)),$o,accp(product_prod(fun(X1,fun(X1,$o)),list(X1)),sorted_wrt_rel(X1)),aa(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1)),aa(fun(X1,fun(X1,$o)),fun(list(X1),product_prod(fun(X1,fun(X1,$o)),list(X1))),product_Pair(fun(X1,fun(X1,$o)),list(X1)),X0),aa(list(X1),list(X1),cons(X1,X3),X4)))) & aa(list(X1),list(X1),cons(X1,X3),X4) = X2) | ~sP2142(X1,X0,X2))),
% 58.13/9.47 inference(rectify,[],[f42917])).
% 58.13/9.47 tff(f42917,plain,(
% 58.13/9.47 ! [X1 : fun(X0,fun(X0,$o)),X0 : $tType,X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X4))) & ($true = aa(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o,accp(product_prod(fun(X0,fun(X0,$o)),list(X0)),sorted_wrt_rel(X0)),aa(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0)),aa(fun(X0,fun(X0,$o)),fun(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0))),product_Pair(fun(X0,fun(X0,$o)),list(X0)),X1),aa(list(X0),list(X0),cons(X0,X3),X4)))) & aa(list(X0),list(X0),cons(X0,X3),X4) = X2) | ~sP2142(X0,X1,X2))),
% 58.13/9.47 inference(nnf_transformation,[],[f37423])).
% 58.13/9.47 tff(f37423,plain,(
% 58.13/9.47 ! [X1 : fun(X0,fun(X0,$o)),X0 : $tType,X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X3),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X4))) & ($true = aa(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o,accp(product_prod(fun(X0,fun(X0,$o)),list(X0)),sorted_wrt_rel(X0)),aa(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0)),aa(fun(X0,fun(X0,$o)),fun(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0))),product_Pair(fun(X0,fun(X0,$o)),list(X0)),X1),aa(list(X0),list(X0),cons(X0,X3),X4)))) & aa(list(X0),list(X0),cons(X0,X3),X4) = X2) | ~sP2142(X0,X1,X2))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2142])])).
% 58.13/9.47 tff(f97929,plain,(
% 58.13/9.47 spl5880_3420),
% 58.13/9.47 inference(avatar_split_clause,[],[f60502,f97927])).
% 58.13/9.47 tff(f97927,plain,(
% 58.13/9.47 spl5880_3420 <=> ! [X0 : $tType,X1 : set(set(X0))] : (sK4306(X0,X1) != sK4307(X0,X1) | ~sP2139(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3420])])).
% 58.13/9.47 tff(f60502,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : set(set(X0))] : (sK4306(X0,X1) != sK4307(X0,X1) | ~sP2139(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42905])).
% 58.13/9.47 tff(f42905,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(set(X0))] : ((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),sK4306(X0,X1)),sK4307(X0,X1)) & sK4306(X0,X1) != sK4307(X0,X1) & member(set(X0),sK4307(X0,X1),X1) & member(set(X0),sK4306(X0,X1),X1)) | ~sP2139(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4306,sK4307])],[f42903,f42904])).
% 58.13/9.47 tff(f42904,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(set(X0))] : (? [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)),X2),X3) & X2 != X3 & member(set(X0),X3,X1) & member(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)),sK4306(X0,X1)),sK4307(X0,X1)) & sK4306(X0,X1) != sK4307(X0,X1) & member(set(X0),sK4307(X0,X1),X1) & member(set(X0),sK4306(X0,X1),X1)))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f42903,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(set(X0))] : (? [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)),X2),X3) & X2 != X3 & member(set(X0),X3,X1) & member(set(X0),X2,X1)) | ~sP2139(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f42902])).
% 58.13/9.47 tff(f42902,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(set(X0))] : (? [X4 : set(X0),X5 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),X5) & X4 != X5 & member(set(X0),X5,X1) & member(set(X0),X4,X1)) | ~sP2139(X0,X1))),
% 58.13/9.47 inference(nnf_transformation,[],[f37418])).
% 58.13/9.47 tff(f37418,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(set(X0))] : (? [X4 : set(X0),X5 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),X5) & X4 != X5 & member(set(X0),X5,X1) & member(set(X0),X4,X1)) | ~sP2139(X0,X1))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2139])])).
% 58.13/9.47 tff(f97925,plain,(
% 58.13/9.47 spl5880_3419),
% 58.13/9.47 inference(avatar_split_clause,[],[f60461,f97923])).
% 58.13/9.47 tff(f97923,plain,(
% 58.13/9.47 spl5880_3419 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (member(X1,sK4292(X1,X0,X2),X2) | ~sP2137(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3419])])).
% 58.13/9.47 tff(f60461,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (member(X1,sK4292(X1,X0,X2),X2) | ~sP2137(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42883])).
% 58.13/9.47 tff(f97921,plain,(
% 58.13/9.47 spl5880_3418),
% 58.13/9.47 inference(avatar_split_clause,[],[f60452,f97919])).
% 58.13/9.47 tff(f97919,plain,(
% 58.13/9.47 spl5880_3418 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (member(X1,sK4290(X1,X0,X2),X2) | ~sP2135(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3418])])).
% 58.13/9.47 tff(f60452,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (member(X1,sK4290(X1,X0,X2),X2) | ~sP2135(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42876])).
% 58.13/9.47 tff(f97917,plain,(
% 58.13/9.47 spl5880_3417),
% 58.13/9.47 inference(avatar_split_clause,[],[f59690,f97915])).
% 58.13/9.47 tff(f97915,plain,(
% 58.13/9.47 spl5880_3417 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | ~vEBT_VEBT_membermima(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3417])])).
% 58.13/9.47 tff(f59690,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | ~vEBT_VEBT_membermima(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42618])).
% 58.13/9.47 tff(f97913,plain,(
% 58.13/9.47 spl5880_3416),
% 58.13/9.47 inference(avatar_split_clause,[],[f59689,f97911])).
% 58.13/9.47 tff(f97911,plain,(
% 58.13/9.47 spl5880_3416 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | ~vEBT_V5719532721284313246member(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3416])])).
% 58.13/9.47 tff(f59689,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | ~vEBT_V5719532721284313246member(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42618])).
% 58.13/9.47 tff(f97909,plain,(
% 58.13/9.47 spl5880_3415),
% 58.13/9.47 inference(avatar_split_clause,[],[f59473,f97907])).
% 58.13/9.47 tff(f97907,plain,(
% 58.13/9.47 spl5880_3415 <=> ! [X0 : int,X1 : nat] : (dvd_dvd(nat,aa(int,nat,nat2,X0),X1) | ~iG985(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3415])])).
% 58.13/9.47 tff(f59473,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : nat] : (dvd_dvd(nat,aa(int,nat,nat2,X0),X1) | ~iG985(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42442])).
% 58.13/9.47 tff(f42442,plain,(
% 58.13/9.47 ! [X0 : int,X1 : nat] : ((dvd_dvd(nat,aa(int,nat,nat2,X0),X1) | ~iG985(X0,X1)) & (iG985(X0,X1) | ~dvd_dvd(nat,aa(int,nat,nat2,X0),X1)))),
% 58.13/9.47 inference(nnf_transformation,[],[f16610])).
% 58.13/9.47 tff(f16610,plain,(
% 58.13/9.47 ! [X0 : int,X1 : nat] : (dvd_dvd(nat,aa(int,nat,nat2,X0),X1) <=> iG985(X0,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f16608,f16609])).
% 58.13/9.47 tff(f16609,plain,(
% 58.13/9.47 ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG985(X0,X1) <=> zero_zero(nat) = X1)) & ! [X0 : int,X1 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG985(X0,X1) <=> dvd_dvd(int,X0,aa(nat,int,semiring_1_of_nat(int),X1))))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG985])])).
% 58.13/9.47 tff(f16608,plain,(
% 58.13/9.47 ! [X0 : int,X1 : nat] : (dvd_dvd(nat,aa(int,nat,nat2,X0),X1) <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0), dvd_dvd(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)),zero_zero(nat) = X1))),
% 58.13/9.47 inference(rectify,[],[f4728])).
% 58.13/9.47 tff(f4728,axiom,(
% 58.13/9.47 ! [X21 : int,X15 : nat] : (dvd_dvd(nat,aa(int,nat,nat2,X21),X15) <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X21), dvd_dvd(int,X21,aa(nat,int,semiring_1_of_nat(int),X15)),zero_zero(nat) = X15))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4727_nat__dvd__iff)).
% 58.13/9.47 tff(f97905,plain,(
% 58.13/9.47 spl5880_3414),
% 58.13/9.47 inference(avatar_split_clause,[],[f59472,f97903])).
% 58.13/9.47 tff(f97903,plain,(
% 58.13/9.47 spl5880_3414 <=> ! [X0 : int,X1 : nat] : (iG985(X0,X1) | ~dvd_dvd(nat,aa(int,nat,nat2,X0),X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3414])])).
% 58.13/9.47 tff(f59472,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : nat] : (iG985(X0,X1) | ~dvd_dvd(nat,aa(int,nat,nat2,X0),X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42442])).
% 58.13/9.47 tff(f97901,plain,(
% 58.13/9.47 spl5880_3413),
% 58.13/9.47 inference(avatar_split_clause,[],[f59412,f97899])).
% 58.13/9.47 tff(f97899,plain,(
% 58.13/9.47 spl5880_3413 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sP2109(X0,X1) | sK4183(X0,X1) != sK4184(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3413])])).
% 58.13/9.47 tff(f59412,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2109(X0,X1) | sK4183(X0,X1) != sK4184(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42404])).
% 58.13/9.47 tff(f42404,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : ((sP2109(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),sK4183(X0,X1))),aa(list(X0),set(X0),set2(X0),sK4184(X0,X1))) & sK4183(X0,X1) != sK4184(X0,X1) & member(list(X0),sK4184(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),sK4183(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X4 : list(X0),X5 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X4)),aa(list(X0),set(X0),set2(X0),X5)) | X4 = X5 | ~member(list(X0),X5,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2109(X0,X1)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4183,sK4184])],[f42402,f42403])).
% 58.13/9.47 tff(f42403,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & 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),sK4183(X0,X1))),aa(list(X0),set(X0),set2(X0),sK4184(X0,X1))) & sK4183(X0,X1) != sK4184(X0,X1) & member(list(X0),sK4184(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),sK4183(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f42402,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : ((sP2109(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 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X4 : list(X0),X5 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X4)),aa(list(X0),set(X0),set2(X0),X5)) | X4 = X5 | ~member(list(X0),X5,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2109(X0,X1)))),
% 58.13/9.47 inference(rectify,[],[f42401])).
% 58.13/9.47 tff(f42401,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : ((sP2109(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 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & (! [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) | X2 = X3 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2109(X0,X1)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37369])).
% 58.13/9.47 tff(f37369,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (sP2109(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 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2109])])).
% 58.13/9.47 tff(f97897,plain,(
% 58.13/9.47 spl5880_3412),
% 58.13/9.47 inference(avatar_split_clause,[],[f58887,f97895])).
% 58.13/9.47 tff(f97895,plain,(
% 58.13/9.47 spl5880_3412 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG968(X0,sK4095(X0,X1),sK4094(X0,X1)) | ~sP2095(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3412])])).
% 58.13/9.47 tff(f58887,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG968(X0,sK4095(X0,X1),sK4094(X0,X1)) | ~sP2095(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42206])).
% 58.13/9.47 tff(f97893,plain,(
% 58.13/9.47 spl5880_3411),
% 58.13/9.47 inference(avatar_split_clause,[],[f58809,f97891])).
% 58.13/9.47 tff(f97891,plain,(
% 58.13/9.47 spl5880_3411 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ~distinct(X0,sK4032(X0,X1)))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3411])])).
% 58.13/9.47 tff(f58809,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ~distinct(X0,sK4032(X0,X1))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42103])).
% 58.13/9.47 tff(f42103,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | (~distinct(X0,sK4032(X0,X1)) & member(list(X0),sK4032(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4032])],[f34418,f42102])).
% 58.13/9.47 tff(f42102,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (~distinct(X0,sK4032(X0,X1)) & member(list(X0),sK4032(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f34418,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ? [X2 : list(X0)] : (~distinct(X0,X2) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 inference(ennf_transformation,[],[f26186])).
% 58.13/9.47 tff(f26186,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (! [X2 : list(X0)] : (member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) => distinct(X0,X2)) => distinct(list(X0),product_lists(X0,X1)))),
% 58.13/9.47 inference(rectify,[],[f6824])).
% 58.13/9.47 tff(f6824,axiom,(
% 58.13/9.47 ! [X0 : $tType,X307 : list(list(X0))] : (! [X29 : list(X0)] : (member(list(X0),X29,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X307)) => distinct(X0,X29)) => distinct(list(X0),product_lists(X0,X307)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6823_distinct__product__lists)).
% 58.13/9.47 tff(f97889,plain,(
% 58.13/9.47 spl5880_3410),
% 58.13/9.47 inference(avatar_split_clause,[],[f58791,f97887])).
% 58.13/9.47 tff(f97887,plain,(
% 58.13/9.47 spl5880_3410 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG946(X0,sK4021(X0,X1),sK4020(X0,X1)) | ~sP2089(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3410])])).
% 58.13/9.47 tff(f58791,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG946(X0,sK4021(X0,X1),sK4020(X0,X1)) | ~sP2089(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42088])).
% 58.13/9.47 tff(f97885,plain,(
% 58.13/9.47 spl5880_3409),
% 58.13/9.47 inference(avatar_split_clause,[],[f58770,f97883])).
% 58.13/9.47 tff(f97883,plain,(
% 58.13/9.47 spl5880_3409 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG927(sK3993(X0,X1))) = X1 | ~sP2085(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3409])])).
% 58.13/9.47 tff(f58770,plain,(
% 58.13/9.47 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG927(sK3993(X0,X1))) = X1 | ~sP2085(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42059])).
% 58.13/9.47 tff(f97881,plain,(
% 58.13/9.47 spl5880_3408),
% 58.13/9.47 inference(avatar_split_clause,[],[f58767,f97879])).
% 58.13/9.47 tff(f97879,plain,(
% 58.13/9.47 spl5880_3408 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG929(sK3992(X0,X1)),$true) = X1 | ~sP2086(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3408])])).
% 58.13/9.47 tff(f58767,plain,(
% 58.13/9.47 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG929(sK3992(X0,X1)),$true) = X1 | ~sP2086(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f42055])).
% 58.13/9.47 tff(f97877,plain,(
% 58.13/9.47 spl5880_3407),
% 58.13/9.47 inference(avatar_split_clause,[],[f58488,f97875])).
% 58.13/9.47 tff(f97875,plain,(
% 58.13/9.47 spl5880_3407 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X4 : fun(X0,X1),X5 : set(X0),X2 : fun(X0,X1)] : (real_V3181309239436604168linear(X0,X1,X2) | ~sP2069(X0,X1,X2,X3,X4,X5))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3407])])).
% 58.13/9.47 tff(f58488,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : (real_V3181309239436604168linear(X0,X1,X2) | ~sP2069(X0,X1,X2,X3,X4,X5)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41870])).
% 58.13/9.47 tff(f41870,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : ((sP2069(X0,X1,X2,X3,X4,X5) | ! [X6 : fun(X0,X1)] : (~filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK3891(X0,X1,X2,X3,X4,X5,X6))) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,sK3891(X0,X1,X2,X3,X4,X5,X6)))),aa(X0,X1,X6,sK3891(X0,X1,X2,X3,X4,X5,X6))) & member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK3891(X0,X1,X2,X3,X4,X5,X6)),X5))) | ~real_V3181309239436604168linear(X0,X1,X2)) & (((filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),sK3892(X0,X1,X2,X3,X4,X5)),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,sK3892(X0,X1,X2,X3,X4,X5),X9)) | ~member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9),X5))) & real_V3181309239436604168linear(X0,X1,X2)) | ~sP2069(X0,X1,X2,X3,X4,X5)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3891,sK3892])],[f41867,f41869,f41868])).
% 58.13/9.47 tff(f41868,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0),X6 : fun(X0,X1)] : (? [X7 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X7))),aa(X0,X1,X6,X7)) & member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7),X5)) => (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK3891(X0,X1,X2,X3,X4,X5,X6))) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,sK3891(X0,X1,X2,X3,X4,X5,X6)))),aa(X0,X1,X6,sK3891(X0,X1,X2,X3,X4,X5,X6))) & member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK3891(X0,X1,X2,X3,X4,X5,X6)),X5)))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41869,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : (? [X8 : fun(X0,X1)] : (filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),X8),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,X8,X9)) | ~member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9),X5))) => (filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),sK3892(X0,X1,X2,X3,X4,X5)),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,sK3892(X0,X1,X2,X3,X4,X5),X9)) | ~member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9),X5))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41867,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : ((sP2069(X0,X1,X2,X3,X4,X5) | ! [X6 : fun(X0,X1)] : (~filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | ? [X7 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X7))),aa(X0,X1,X6,X7)) & member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7),X5))) | ~real_V3181309239436604168linear(X0,X1,X2)) & ((? [X8 : fun(X0,X1)] : (filterlim(X0,real,aTP_Lamp_vf(fun(X0,X1),fun(X0,real),X8),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,X8,X9)) | ~member(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9),X5))) & real_V3181309239436604168linear(X0,X1,X2)) | ~sP2069(X0,X1,X2,X3,X4,X5)))),
% 58.13/9.47 inference(rectify,[],[f41866])).
% 58.13/9.47 tff(f41866,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : ((sP2069(X1,X0,X5,X2,X4,X3) | ! [X6 : fun(X1,X0)] : (~filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) | ? [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) != aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) & member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) | ~real_V3181309239436604168linear(X1,X0,X5)) & ((? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) & real_V3181309239436604168linear(X1,X0,X5)) | ~sP2069(X1,X0,X5,X2,X4,X3)))),
% 58.13/9.47 inference(flattening,[],[f41865])).
% 58.13/9.47 tff(f41865,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : ((sP2069(X1,X0,X5,X2,X4,X3) | (! [X6 : fun(X1,X0)] : (~filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) | ? [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) != aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) & member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) | ~real_V3181309239436604168linear(X1,X0,X5))) & ((? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_vf(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~member(X1,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7),X3))) & real_V3181309239436604168linear(X1,X0,X5)) | ~sP2069(X1,X0,X5,X2,X4,X3)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37314])).
% 58.13/9.47 tff(f97873,plain,(
% 58.13/9.47 spl5880_3406),
% 58.13/9.47 inference(avatar_split_clause,[],[f58224,f97871])).
% 58.13/9.47 tff(f97871,plain,(
% 58.13/9.47 spl5880_3406 <=> ! [X0 : nat,X1 : nat] : (X0 = X1 | ~dvd_dvd(nat,X1,X0) | ~dvd_dvd(nat,X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3406])])).
% 58.13/9.47 tff(f58224,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (X0 = X1 | ~dvd_dvd(nat,X1,X0) | ~dvd_dvd(nat,X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f33832])).
% 58.13/9.47 tff(f33832,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat] : (X0 = X1 | ~dvd_dvd(nat,X1,X0) | ~dvd_dvd(nat,X0,X1))),
% 58.13/9.47 inference(flattening,[],[f33831])).
% 58.13/9.47 tff(f33831,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat] : ((X0 = X1 | ~dvd_dvd(nat,X1,X0)) | ~dvd_dvd(nat,X0,X1))),
% 58.13/9.47 inference(ennf_transformation,[],[f25983])).
% 58.13/9.47 tff(f25983,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,X1) => (dvd_dvd(nat,X1,X0) => X0 = X1))),
% 58.13/9.47 inference(rectify,[],[f2269])).
% 58.13/9.47 tff(f2269,axiom,(
% 58.13/9.47 ! [X15 : nat,X8 : nat] : (dvd_dvd(nat,X15,X8) => (dvd_dvd(nat,X8,X15) => X8 = X15))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2268_dvd__antisym)).
% 58.13/9.47 tff(f97869,plain,(
% 58.13/9.47 spl5880_3405),
% 58.13/9.47 inference(avatar_split_clause,[],[f58205,f97867])).
% 58.13/9.47 tff(f97867,plain,(
% 58.13/9.47 spl5880_3405 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sK3785(X0,X1) != sK3786(X0,X1) | ~sP2057(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3405])])).
% 58.13/9.47 tff(f58205,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : list(list(X0))] : (sK3785(X0,X1) != sK3786(X0,X1) | ~sP2057(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41692])).
% 58.13/9.47 tff(f41692,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : ((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),sK3785(X0,X1))),aa(list(X0),set(X0),set2(X0),sK3786(X0,X1))) & sK3785(X0,X1) != sK3786(X0,X1) & member(list(X0),sK3786(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),sK3785(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2057(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3785,sK3786])],[f41690,f41691])).
% 58.13/9.47 tff(f41691,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & 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),sK3785(X0,X1))),aa(list(X0),set(X0),set2(X0),sK3786(X0,X1))) & sK3785(X0,X1) != sK3786(X0,X1) & member(list(X0),sK3786(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),sK3785(X0,X1),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41690,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2057(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f41689])).
% 58.13/9.47 tff(f41689,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : list(list(X0))] : (? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~sP2057(X0,X1))),
% 58.13/9.47 inference(nnf_transformation,[],[f37293])).
% 58.13/9.47 tff(f97865,plain,(
% 58.13/9.47 spl5880_3404),
% 58.13/9.47 inference(avatar_split_clause,[],[f58164,f97863])).
% 58.13/9.47 tff(f97863,plain,(
% 58.13/9.47 spl5880_3404 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG879(sK3758(X0,X1))) = X1 | ~sP2048(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3404])])).
% 58.13/9.47 tff(f58164,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG879(sK3758(X0,X1))) = X1 | ~sP2048(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41653])).
% 58.13/9.47 tff(f97861,plain,(
% 58.13/9.47 spl5880_3403),
% 58.13/9.47 inference(avatar_split_clause,[],[f58161,f97859])).
% 58.13/9.47 tff(f97859,plain,(
% 58.13/9.47 spl5880_3403 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG881(sK3757(X0,X1)),$true) = X1 | ~sP2049(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3403])])).
% 58.13/9.47 tff(f58161,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG881(sK3757(X0,X1)),$true) = X1 | ~sP2049(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41649])).
% 58.13/9.47 tff(f97857,plain,(
% 58.13/9.47 spl5880_3402),
% 58.13/9.47 inference(avatar_split_clause,[],[f57997,f97855])).
% 58.13/9.47 tff(f97855,plain,(
% 58.13/9.47 spl5880_3402 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG851(X0,sK3647(X0,X1),sK3646(X0,X1)) | ~sP2028(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3402])])).
% 58.13/9.47 tff(f57997,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG851(X0,sK3647(X0,X1),sK3646(X0,X1)) | ~sP2028(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41523])).
% 58.13/9.47 tff(f97853,plain,(
% 58.13/9.47 spl5880_3401),
% 58.13/9.47 inference(avatar_split_clause,[],[f57955,f97851])).
% 58.13/9.47 tff(f97851,plain,(
% 58.13/9.47 spl5880_3401 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG825(sK3614(X0,X1),sK3613(X0,X1),X0) | ~sP2023(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3401])])).
% 58.13/9.47 tff(f57955,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG825(sK3614(X0,X1),sK3613(X0,X1),X0) | ~sP2023(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41482])).
% 58.13/9.47 tff(f41482,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG825(sK3614(X0,X1),sK3613(X0,X1),X0) & sK3612(X0,X1) != X0 & sK3611(X0,X1) != X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3611(X0,X1)),sK3612(X0,X1))),aa(nat,nat,suc,sK3613(X0,X1)),sK3614(X0,X1),sK3615(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3611(X0,X1)),sK3612(X0,X1))),aa(nat,nat,suc,sK3613(X0,X1)),sK3614(X0,X1),sK3615(X0,X1)) = X1) | ~sP2023(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3611,sK3612,sK3613,sK3614,sK3615])],[f41480,f41481])).
% 58.13/9.47 tff(f41481,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (~iG825(X5,X4,X0) & X0 != X3 & X0 != X2 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) => (~iG825(sK3614(X0,X1),sK3613(X0,X1),X0) & sK3612(X0,X1) != X0 & sK3611(X0,X1) != X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3611(X0,X1)),sK3612(X0,X1))),aa(nat,nat,suc,sK3613(X0,X1)),sK3614(X0,X1),sK3615(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3611(X0,X1)),sK3612(X0,X1))),aa(nat,nat,suc,sK3613(X0,X1)),sK3614(X0,X1),sK3615(X0,X1)) = X1))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41480,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (~iG825(X5,X4,X0) & X0 != X3 & X0 != X2 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) | ~sP2023(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f41479])).
% 58.13/9.47 tff(f41479,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (~iG825(X13,X12,X1) & X1 != X11 & X1 != X10 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14)),X1))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP2023(X1,X0))),
% 58.13/9.47 inference(nnf_transformation,[],[f37243])).
% 58.13/9.47 tff(f37243,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (~iG825(X13,X12,X1) & X1 != X11 & X1 != X10 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14)),X1))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP2023(X1,X0))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2023])])).
% 58.13/9.47 tff(f97849,plain,(
% 58.13/9.47 spl5880_3400),
% 58.13/9.47 inference(avatar_split_clause,[],[f57946,f97847])).
% 58.13/9.47 tff(f97847,plain,(
% 58.13/9.47 spl5880_3400 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG827(sK3605(X0,X1),sK3604(X0,X1),X0) | ~sP2025(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3400])])).
% 58.13/9.47 tff(f57946,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG827(sK3605(X0,X1),sK3604(X0,X1),X0) | ~sP2025(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41474])).
% 58.13/9.47 tff(f41474,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG827(sK3605(X0,X1),sK3604(X0,X1),X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK3604(X0,X1)),sK3605(X0,X1),sK3606(X0,X1))),X0))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK3604(X0,X1)),sK3605(X0,X1),sK3606(X0,X1)) = X1) | ~sP2025(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3604,sK3605,sK3606])],[f41472,f41473])).
% 58.13/9.47 tff(f41473,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~iG827(X3,X2,X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X2),X3,X4)),X0))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X2),X3,X4) = X1) => (~iG827(sK3605(X0,X1),sK3604(X0,X1),X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK3604(X0,X1)),sK3605(X0,X1),sK3606(X0,X1))),X0))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK3604(X0,X1)),sK3605(X0,X1),sK3606(X0,X1)) = X1))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41472,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~iG827(X3,X2,X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X2),X3,X4)),X0))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X2),X3,X4) = X1) | ~sP2025(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f41471])).
% 58.13/9.47 tff(f41471,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (~iG827(X16,X15,X1) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X15),X16,X17)),X1))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X15),X16,X17) = X0) | ~sP2025(X1,X0))),
% 58.13/9.47 inference(nnf_transformation,[],[f37245])).
% 58.13/9.47 tff(f37245,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (~iG827(X16,X15,X1) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),aa(nat,nat,suc,X15),X16,X17)),X1))) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X15),X16,X17) = X0) | ~sP2025(X1,X0))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2025])])).
% 58.13/9.47 tff(f97845,plain,(
% 58.13/9.47 spl5880_3399),
% 58.13/9.47 inference(avatar_split_clause,[],[f57941,f97843])).
% 58.13/9.47 tff(f97843,plain,(
% 58.13/9.47 spl5880_3399 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG817(sK3595(X0,X1),sK3594(X0,X1),X0) | ~sP2021(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3399])])).
% 58.13/9.47 tff(f57941,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG817(sK3595(X0,X1),sK3594(X0,X1),X0) | ~sP2021(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41464])).
% 58.13/9.47 tff(f41464,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG817(sK3595(X0,X1),sK3594(X0,X1),X0) & sK3593(X0,X1) != X0 & sK3592(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),sK3592(X0,X1)),sK3593(X0,X1))),aa(nat,nat,suc,sK3594(X0,X1)),sK3595(X0,X1),sK3596(X0,X1)) = X1) | ~sP2021(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3592,sK3593,sK3594,sK3595,sK3596])],[f41461,f41463,f41462])).
% 58.13/9.47 tff(f41462,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (~iG817(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) => (~iG817(sK3595(X0,X1),sK3594(X0,X1),X0) & sK3593(X0,X1) != X0 & sK3592(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),sK3592(X0,X1)),sK3593(X0,X1))),aa(nat,nat,suc,sK3594(X0,X1)),sK3595(X0,X1),X6) = X1))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41463,plain,(
% 58.13/9.47 ! [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),sK3592(X0,X1)),sK3593(X0,X1))),aa(nat,nat,suc,sK3594(X0,X1)),sK3595(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),sK3592(X0,X1)),sK3593(X0,X1))),aa(nat,nat,suc,sK3594(X0,X1)),sK3595(X0,X1),sK3596(X0,X1)) = X1)),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41461,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (~iG817(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) | ~sP2021(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f41460])).
% 58.13/9.47 tff(f41460,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (~iG817(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) | ~sP2021(X1,X0))),
% 58.13/9.47 inference(nnf_transformation,[],[f37240])).
% 58.13/9.47 tff(f37240,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (~iG817(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) | ~sP2021(X1,X0))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2021])])).
% 58.13/9.47 tff(f97841,plain,(
% 58.13/9.47 spl5880_3398),
% 58.13/9.47 inference(avatar_split_clause,[],[f57932,f97839])).
% 58.13/9.47 tff(f97839,plain,(
% 58.13/9.47 spl5880_3398 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG811(X0,sK3584(X0,X1),sK3583(X0,X1)) | ~sP2019(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3398])])).
% 58.13/9.47 tff(f57932,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG811(X0,sK3584(X0,X1),sK3583(X0,X1)) | ~sP2019(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41451])).
% 58.13/9.47 tff(f97837,plain,(
% 58.13/9.47 spl5880_3397),
% 58.13/9.47 inference(avatar_split_clause,[],[f57929,f97835])).
% 58.13/9.47 tff(f97835,plain,(
% 58.13/9.47 spl5880_3397 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (~iG813(sK3581(X0,X1),sK3580(X0,X1),X0) | ~sP2020(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3397])])).
% 58.13/9.47 tff(f57929,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : vEBT_VEBT] : (~iG813(sK3581(X0,X1),sK3580(X0,X1),X0) | ~sP2020(X0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f41447])).
% 58.13/9.47 tff(f41447,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : ((~iG813(sK3581(X0,X1),sK3580(X0,X1),X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3579(X0,X1),aa(nat,nat,suc,sK3580(X0,X1)),sK3581(X0,X1),sK3582(X0,X1))),X0))) & vEBT_Node(sK3579(X0,X1),aa(nat,nat,suc,sK3580(X0,X1)),sK3581(X0,X1),sK3582(X0,X1)) = X1) | ~sP2020(X0,X1))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3579,sK3580,sK3581,sK3582])],[f41445,f41446])).
% 58.13/9.47 tff(f41446,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (~iG813(X4,X3,X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,aa(nat,nat,suc,X3),X4,X5)),X0))) & vEBT_Node(X2,aa(nat,nat,suc,X3),X4,X5) = X1) => (~iG813(sK3581(X0,X1),sK3580(X0,X1),X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK3579(X0,X1),aa(nat,nat,suc,sK3580(X0,X1)),sK3581(X0,X1),sK3582(X0,X1))),X0))) & vEBT_Node(sK3579(X0,X1),aa(nat,nat,suc,sK3580(X0,X1)),sK3581(X0,X1),sK3582(X0,X1)) = X1))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f41445,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (~iG813(X4,X3,X0) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X2,aa(nat,nat,suc,X3),X4,X5)),X0))) & vEBT_Node(X2,aa(nat,nat,suc,X3),X4,X5) = X1) | ~sP2020(X0,X1))),
% 58.13/9.47 inference(rectify,[],[f41444])).
% 58.13/9.47 tff(f41444,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X7 : option(product_prod(nat,nat)),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (~iG813(X9,X8,X1) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X7,aa(nat,nat,suc,X8),X9,X10)),X1))) & vEBT_Node(X7,aa(nat,nat,suc,X8),X9,X10) = X0) | ~sP2020(X1,X0))),
% 58.13/9.47 inference(nnf_transformation,[],[f37238])).
% 58.13/9.47 tff(f37238,plain,(
% 58.13/9.47 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X7 : option(product_prod(nat,nat)),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (~iG813(X9,X8,X1) & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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(X7,aa(nat,nat,suc,X8),X9,X10)),X1))) & vEBT_Node(X7,aa(nat,nat,suc,X8),X9,X10) = X0) | ~sP2020(X1,X0))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2020])])).
% 58.13/9.47 tff(f97833,plain,(
% 58.13/9.47 spl5880_3396),
% 58.13/9.47 inference(avatar_split_clause,[],[f56714,f97831])).
% 58.13/9.47 tff(f97831,plain,(
% 58.13/9.47 spl5880_3396 <=> ! [X0 : real,X1 : nat] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),root(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3396])])).
% 58.13/9.47 tff(f56714,plain,(
% 58.13/9.47 ( ! [X0 : real,X1 : nat] : (topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),root(X1))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25267])).
% 58.13/9.47 tff(f25267,plain,(
% 58.13/9.47 ! [X0 : real,X1 : nat] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),root(X1))),
% 58.13/9.47 inference(rectify,[],[f6220])).
% 58.13/9.47 tff(f6220,axiom,(
% 58.13/9.47 ! [X9 : real,X8 : nat] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X9,top_top(set(real))),root(X8))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6219_isCont__real__root)).
% 58.13/9.47 tff(f97829,plain,(
% 58.13/9.47 spl5880_3395),
% 58.13/9.47 inference(avatar_split_clause,[],[f56711,f97827])).
% 58.13/9.47 tff(f97827,plain,(
% 58.13/9.47 spl5880_3395 <=> ! [X0 : num,X1 : num] : aa(num,num,bit1,X0) != aa(num,num,bit0,X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3395])])).
% 58.13/9.47 tff(f56711,plain,(
% 58.13/9.47 ( ! [X0 : num,X1 : num] : (aa(num,num,bit1,X0) != aa(num,num,bit0,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25264])).
% 58.13/9.47 tff(f25264,plain,(
% 58.13/9.47 ! [X0 : num,X1 : num] : aa(num,num,bit1,X0) != aa(num,num,bit0,X1)),
% 58.13/9.47 inference(rectify,[],[f599])).
% 58.13/9.47 tff(f599,axiom,(
% 58.13/9.47 ! [X15 : num,X8 : num] : aa(num,num,bit0,X8) != aa(num,num,bit1,X15)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_598_semiring__norm_I89_J)).
% 58.13/9.47 tff(f97825,plain,(
% 58.13/9.47 spl5880_3394),
% 58.13/9.47 inference(avatar_split_clause,[],[f56710,f97823])).
% 58.13/9.47 tff(f97823,plain,(
% 58.13/9.47 spl5880_3394 <=> ! [X0 : $tType,X1 : X0] : none(X0) != aa(X0,option(X0),some(X0),X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3394])])).
% 58.13/9.47 tff(f56710,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (none(X0) != aa(X0,option(X0),some(X0),X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f25263])).
% 58.13/9.47 tff(f25263,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : none(X0) != aa(X0,option(X0),some(X0),X1)),
% 58.13/9.47 inference(rectify,[],[f643])).
% 58.13/9.47 tff(f643,axiom,(
% 58.13/9.47 ! [X0 : $tType,X38 : X0] : none(X0) != aa(X0,option(X0),some(X0),X38)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_642_option_Odistinct_I1_J)).
% 58.13/9.47 tff(f97821,plain,(
% 58.13/9.47 spl5880_3393),
% 58.13/9.47 inference(avatar_split_clause,[],[f55977,f97819])).
% 58.13/9.47 tff(f97819,plain,(
% 58.13/9.47 spl5880_3393 <=> ! [X0 : $tType,X1 : X0] : (power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3393])])).
% 58.13/9.47 tff(f55977,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f32662])).
% 58.13/9.47 tff(f32662,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0))),
% 58.13/9.47 inference(flattening,[],[f32661])).
% 58.13/9.47 tff(f32661,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1 | (~monoid_mult(X0) | ~inverse(X0)))),
% 58.13/9.47 inference(ennf_transformation,[],[f25128])).
% 58.13/9.47 tff(f25128,plain,(
% 58.13/9.47 ! [X0 : $tType] : ((monoid_mult(X0) & inverse(X0)) => ! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1)),
% 58.13/9.47 inference(rectify,[],[f7013])).
% 58.13/9.47 tff(f7013,axiom,(
% 58.13/9.47 ! [X0 : $tType] : ((monoid_mult(X0) & inverse(X0)) => ! [X18 : X0] : power_int(X0,X18,one_one(int)) = X18)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7012_power__int__1__right)).
% 58.13/9.47 tff(f97817,plain,(
% 58.13/9.47 spl5880_3392),
% 58.13/9.47 inference(avatar_split_clause,[],[f55792,f97815])).
% 58.13/9.47 tff(f97815,plain,(
% 58.13/9.47 spl5880_3392 <=> ! [X0 : $tType] : (one_one(X0) = cos(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3392])])).
% 58.13/9.47 tff(f55792,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = cos(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f32310])).
% 58.13/9.47 tff(f32310,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = cos(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 inference(flattening,[],[f32309])).
% 58.13/9.47 tff(f32309,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = cos(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.13/9.47 inference(ennf_transformation,[],[f3483])).
% 58.13/9.47 tff(f3483,axiom,(
% 58.13/9.47 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = cos(X0,zero_zero(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3482_cos__zero)).
% 58.13/9.47 tff(f97813,plain,(
% 58.13/9.47 spl5880_3391),
% 58.13/9.47 inference(avatar_split_clause,[],[f55791,f97811])).
% 58.13/9.47 tff(f97811,plain,(
% 58.13/9.47 spl5880_3391 <=> ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3391])])).
% 58.13/9.47 tff(f55791,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f32308])).
% 58.13/9.47 tff(f32308,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 inference(flattening,[],[f32307])).
% 58.13/9.47 tff(f32307,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.13/9.47 inference(ennf_transformation,[],[f2925])).
% 58.13/9.47 tff(f2925,axiom,(
% 58.13/9.47 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = exp(X0,zero_zero(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2924_exp__zero)).
% 58.13/9.47 tff(f97809,plain,(
% 58.13/9.47 spl5880_3390),
% 58.13/9.47 inference(avatar_split_clause,[],[f55790,f97807])).
% 58.13/9.47 tff(f97807,plain,(
% 58.13/9.47 spl5880_3390 <=> ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3390])])).
% 58.13/9.47 tff(f55790,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f32306])).
% 58.13/9.47 tff(f32306,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 58.13/9.47 inference(flattening,[],[f32305])).
% 58.13/9.47 tff(f32305,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 58.13/9.47 inference(ennf_transformation,[],[f4458])).
% 58.13/9.47 tff(f4458,axiom,(
% 58.13/9.47 ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = cosh(X0,zero_zero(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4457_cosh__0)).
% 58.13/9.47 tff(f97805,plain,(
% 58.13/9.47 spl5880_3389),
% 58.13/9.47 inference(avatar_split_clause,[],[f54882,f97803])).
% 58.13/9.47 tff(f97803,plain,(
% 58.13/9.47 spl5880_3389 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_abf(X0,X0),X1) = X1 | ~linorder(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3389])])).
% 58.13/9.47 tff(f54882,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_abf(X0,X0),X1) = X1 | ~linorder(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31603])).
% 58.13/9.47 tff(f31603,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_abf(X0,X0),X1) = X1 | ~linorder(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24826])).
% 58.13/9.47 tff(f24826,plain,(
% 58.13/9.47 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_abf(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9029])).
% 58.13/9.47 tff(f9029,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (linorder(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_abf(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9028_ATP_Olambda__848)).
% 58.13/9.47 tff(f97801,plain,(
% 58.13/9.47 spl5880_3388),
% 58.13/9.47 inference(avatar_split_clause,[],[f54654,f97799])).
% 58.13/9.47 tff(f97799,plain,(
% 58.13/9.47 spl5880_3388 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_afw(X0,X0),X1) = X1 | ~comm_monoid_add(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3388])])).
% 58.13/9.47 tff(f54654,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_afw(X0,X0),X1) = X1 | ~comm_monoid_add(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31372])).
% 58.13/9.47 tff(f31372,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_afw(X0,X0),X1) = X1 | ~comm_monoid_add(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24679])).
% 58.13/9.47 tff(f24679,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_afw(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9028])).
% 58.13/9.47 tff(f9028,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_afw(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9027_ATP_Olambda__847)).
% 58.13/9.47 tff(f97797,plain,(
% 58.13/9.47 spl5880_3387),
% 58.13/9.47 inference(avatar_split_clause,[],[f54630,f97795])).
% 58.13/9.47 tff(f97795,plain,(
% 58.13/9.47 spl5880_3387 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ab(X0,X0),X1) = X1 | ~monoid_mult(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3387])])).
% 58.13/9.47 tff(f54630,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ab(X0,X0),X1) = X1 | ~monoid_mult(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31348])).
% 58.13/9.47 tff(f31348,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_ab(X0,X0),X1) = X1 | ~monoid_mult(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24658])).
% 58.13/9.47 tff(f24658,plain,(
% 58.13/9.47 ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_ab(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9030])).
% 58.13/9.47 tff(f9030,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (monoid_mult(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_ab(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9029_ATP_Olambda__849)).
% 58.13/9.47 tff(f97793,plain,(
% 58.13/9.47 spl5880_3386),
% 58.13/9.47 inference(avatar_split_clause,[],[f54613,f97791])).
% 58.13/9.47 tff(f97791,plain,(
% 58.13/9.47 spl5880_3386 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,X2) = iG515(X0,X2,X1) | ~comm_semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3386])])).
% 58.13/9.47 tff(f54613,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : nat,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,X2) = iG515(X0,X2,X1) | ~comm_semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31329])).
% 58.13/9.47 tff(f31329,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : comm_s3205402744901411588hammer(X0,X1,X2) = iG515(X0,X2,X1) | ~comm_semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12628])).
% 58.13/9.47 tff(f12628,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0,X2 : nat] : comm_s3205402744901411588hammer(X0,X1,X2) = iG515(X0,X2,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f12626,f12627])).
% 58.13/9.47 tff(f12627,plain,(
% 58.13/9.47 ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0)) = iG515(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG515(X0,X2,X1))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG515])])).
% 58.13/9.47 tff(f12626,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0,X2 : nat] : comm_s3205402744901411588hammer(X0,X1,X2) = $ite(zero_zero(nat) = X2, one_one(X0),set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0))))),
% 58.13/9.47 inference(rectify,[],[f4225])).
% 58.13/9.47 tff(f4225,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X11 : X0,X8 : nat] : comm_s3205402744901411588hammer(X0,X11,X8) = $ite(zero_zero(nat) = X8, one_one(X0),set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X11),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat)),one_one(X0))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4224_pochhammer__code)).
% 58.13/9.47 tff(f97789,plain,(
% 58.13/9.47 spl5880_3385),
% 58.13/9.47 inference(avatar_split_clause,[],[f54600,f97787])).
% 58.13/9.47 tff(f97787,plain,(
% 58.13/9.47 spl5880_3385 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~dvd_dvd(X0,zero_zero(X0),X1) | ~comm_semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3385])])).
% 58.13/9.47 tff(f54600,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~dvd_dvd(X0,zero_zero(X0),X1) | ~comm_semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31317])).
% 58.13/9.47 tff(f31317,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = X1 | ~dvd_dvd(X0,zero_zero(X0),X1)) | ~comm_semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24638])).
% 58.13/9.47 tff(f24638,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : (dvd_dvd(X0,zero_zero(X0),X1) => zero_zero(X0) = X1))),
% 58.13/9.47 inference(rectify,[],[f1955])).
% 58.13/9.47 tff(f1955,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X11 : X0] : (dvd_dvd(X0,zero_zero(X0),X11) => zero_zero(X0) = X11))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1954_dvd__0__left)).
% 58.13/9.47 tff(f97785,plain,(
% 58.13/9.47 spl5880_3384),
% 58.13/9.47 inference(avatar_split_clause,[],[f54599,f97783])).
% 58.13/9.47 tff(f97783,plain,(
% 58.13/9.47 spl5880_3384 <=> ! [X0 : $tType,X1 : nat] : (comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) = iG514(X0,X1) | ~comm_semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3384])])).
% 58.13/9.47 tff(f54599,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) = iG514(X0,X1) | ~comm_semiring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31316])).
% 58.13/9.47 tff(f31316,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : nat] : comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) = iG514(X0,X1) | ~comm_semiring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12625])).
% 58.13/9.47 tff(f12625,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : nat] : comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) = iG514(X0,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f12623,f12624])).
% 58.13/9.47 tff(f12624,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG514(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG514(X0,X1))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG514])])).
% 58.13/9.47 tff(f12623,plain,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : nat] : comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) = $ite(zero_zero(nat) = X1, one_one(X0),zero_zero(X0)))),
% 58.13/9.47 inference(rectify,[],[f4176])).
% 58.13/9.47 tff(f4176,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X8 : nat] : comm_s3205402744901411588hammer(X0,zero_zero(X0),X8) = $ite(zero_zero(nat) = X8, one_one(X0),zero_zero(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4175_pochhammer__0__left)).
% 58.13/9.47 tff(f97781,plain,(
% 58.13/9.47 spl5880_3383),
% 58.13/9.47 inference(avatar_split_clause,[],[f54558,f97779])).
% 58.13/9.47 tff(f97779,plain,(
% 58.13/9.47 spl5880_3383 <=> ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3383])])).
% 58.13/9.47 tff(f54558,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31287])).
% 58.13/9.47 tff(f31287,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : num] : zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24612])).
% 58.13/9.47 tff(f24612,plain,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num] : zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1))),
% 58.13/9.47 inference(rectify,[],[f1077])).
% 58.13/9.47 tff(f1077,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : num] : aa(num,X0,numeral_numeral(X0),X8) != zero_zero(X0))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1076_zero__neq__numeral)).
% 58.13/9.47 tff(f97777,plain,(
% 58.13/9.47 spl5880_3382),
% 58.13/9.47 inference(avatar_split_clause,[],[f54541,f97775])).
% 58.13/9.47 tff(f97775,plain,(
% 58.13/9.47 spl5880_3382 <=> ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),one2) = one_one(X0) | ~numeral(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3382])])).
% 58.13/9.47 tff(f54541,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),one2) = one_one(X0) | ~numeral(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31270])).
% 58.13/9.47 tff(f31270,plain,(
% 58.13/9.47 ! [X0 : $tType] : (aa(num,X0,numeral_numeral(X0),one2) = one_one(X0) | ~numeral(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f531])).
% 58.13/9.47 tff(f531,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (numeral(X0) => aa(num,X0,numeral_numeral(X0),one2) = one_one(X0))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_530_numeral__One)).
% 58.13/9.47 tff(f97773,plain,(
% 58.13/9.47 spl5880_3381),
% 58.13/9.47 inference(avatar_split_clause,[],[f54484,f97771])).
% 58.13/9.47 tff(f97771,plain,(
% 58.13/9.47 spl5880_3381 <=> ! [X0 : $tType] : (one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~zero_neq_one(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3381])])).
% 58.13/9.47 tff(f54484,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~zero_neq_one(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31235])).
% 58.13/9.47 tff(f31235,plain,(
% 58.13/9.47 ! [X0 : $tType] : (one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$true) | ~zero_neq_one(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12570])).
% 58.13/9.47 tff(f12570,plain,(
% 58.13/9.47 ! [X0 : $tType] : (zero_neq_one(X0) => one_one(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$true))),
% 58.13/9.47 inference(fool_elimination,[],[f2246])).
% 58.13/9.47 tff(f2246,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (zero_neq_one(X0) => aa($o,X0,zero_neq_one_of_bool(X0),$true) = one_one(X0))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2245_of__bool__eq_I2_J)).
% 58.13/9.47 tff(f97769,plain,(
% 58.13/9.47 spl5880_3380),
% 58.13/9.47 inference(avatar_split_clause,[],[f54483,f97767])).
% 58.13/9.47 tff(f97767,plain,(
% 58.13/9.47 spl5880_3380 <=> ! [X0 : $tType] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$false) | ~zero_neq_one(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3380])])).
% 58.13/9.47 tff(f54483,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$false) | ~zero_neq_one(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31234])).
% 58.13/9.47 tff(f31234,plain,(
% 58.13/9.47 ! [X0 : $tType] : (zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$false) | ~zero_neq_one(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12569])).
% 58.13/9.47 tff(f12569,plain,(
% 58.13/9.47 ! [X0 : $tType] : (zero_neq_one(X0) => zero_zero(X0) = aa($o,X0,zero_neq_one_of_bool(X0),$false))),
% 58.13/9.47 inference(fool_elimination,[],[f2242])).
% 58.13/9.47 tff(f2242,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (zero_neq_one(X0) => aa($o,X0,zero_neq_one_of_bool(X0),$false) = zero_zero(X0))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2241_of__bool__eq_I1_J)).
% 58.13/9.47 tff(f97765,plain,(
% 58.13/9.47 spl5880_3379),
% 58.13/9.47 inference(avatar_split_clause,[],[f54430,f97763])).
% 58.13/9.47 tff(f97763,plain,(
% 58.13/9.47 spl5880_3379 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,real)] : (member(X1,sK2828(X1,X0,X2),X2) | ~sP1960(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3379])])).
% 58.13/9.47 tff(f54430,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,real)] : (member(X1,sK2828(X1,X0,X2),X2) | ~sP1960(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39903])).
% 58.13/9.47 tff(f39903,plain,(
% 58.13/9.47 ! [X0 : fun(X1,real),X1 : $tType,X2 : set(X1)] : ((($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X1,real,X0,sK2828(X1,X0,X2)))) & member(X1,sK2828(X1,X0,X2),X2)) | ~sP1960(X1,X0,X2))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2828])],[f39901,f39902])).
% 58.13/9.47 tff(f39902,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : fun(X1,real),X2 : set(X1)] : (? [X3 : X1] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X1,real,X0,X3))) & member(X1,X3,X2)) => (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X1,real,X0,sK2828(X1,X0,X2)))) & member(X1,sK2828(X1,X0,X2),X2)))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39901,plain,(
% 58.13/9.47 ! [X0 : fun(X1,real),X1 : $tType,X2 : set(X1)] : (? [X3 : X1] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X1,real,X0,X3))) & member(X1,X3,X2)) | ~sP1960(X1,X0,X2))),
% 58.13/9.47 inference(rectify,[],[f39900])).
% 58.13/9.47 tff(f39900,plain,(
% 58.13/9.47 ! [X2 : fun(X0,real),X0 : $tType,X1 : set(X0)] : (? [X4 : X0] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X0,real,X2,X4))) & member(X0,X4,X1)) | ~sP1960(X0,X2,X1))),
% 58.13/9.47 inference(nnf_transformation,[],[f37138])).
% 58.13/9.47 tff(f37138,plain,(
% 58.13/9.47 ! [X2 : fun(X0,real),X0 : $tType,X1 : set(X0)] : (? [X4 : X0] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),aa(X0,real,X2,X4))) & member(X0,X4,X1)) | ~sP1960(X0,X2,X1))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1960])])).
% 58.13/9.47 tff(f97761,plain,(
% 58.13/9.47 spl5880_3378),
% 58.13/9.47 inference(avatar_split_clause,[],[f54411,f97759])).
% 58.13/9.47 tff(f97759,plain,(
% 58.13/9.47 spl5880_3378 <=> ! [X1 : $tType,X2 : X1,X0 : fun(nat,X1)] : (sP1958(X1,X0,X2) | member(X1,X2,sK2824(X1,X0,X2)))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3378])])).
% 58.13/9.47 tff(f54411,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : X1,X0 : fun(nat,X1)] : (sP1958(X1,X0,X2) | member(X1,X2,sK2824(X1,X0,X2))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39895])).
% 58.13/9.47 tff(f39895,plain,(
% 58.13/9.47 ! [X0 : fun(nat,X1),X1 : $tType,X2 : X1] : ((sP1958(X1,X0,X2) | (! [X4 : nat] : (~member(X1,aa(nat,X1,X0,sK2825(X1,X0,X2,X4)),sK2824(X1,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),sK2825(X1,X0,X2,X4)))) & member(X1,X2,sK2824(X1,X0,X2)) & topolo1002775350975398744n_open(X1,sK2824(X1,X0,X2)))) & (! [X6 : set(X1)] : (! [X8 : nat] : (member(X1,aa(nat,X1,X0,X8),X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK2826(X1,X0,X6)),X8))) | ~member(X1,X2,X6) | ~topolo1002775350975398744n_open(X1,X6)) | ~sP1958(X1,X0,X2)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2824,sK2825,sK2826])],[f39891,f39894,f39893,f39892])).
% 58.13/9.47 tff(f39892,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : fun(nat,X1),X2 : X1] : (? [X3 : set(X1)] : (! [X4 : nat] : ? [X5 : nat] : (~member(X1,aa(nat,X1,X0,X5),X3) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & member(X1,X2,X3) & topolo1002775350975398744n_open(X1,X3)) => (! [X4 : nat] : ? [X5 : nat] : (~member(X1,aa(nat,X1,X0,X5),sK2824(X1,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & member(X1,X2,sK2824(X1,X0,X2)) & topolo1002775350975398744n_open(X1,sK2824(X1,X0,X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39893,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : fun(nat,X1),X2 : X1,X4 : nat] : (? [X5 : nat] : (~member(X1,aa(nat,X1,X0,X5),sK2824(X1,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) => (~member(X1,aa(nat,X1,X0,sK2825(X1,X0,X2,X4)),sK2824(X1,X0,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),sK2825(X1,X0,X2,X4)))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39894,plain,(
% 58.13/9.47 ! [X1 : $tType,X0 : fun(nat,X1),X6 : set(X1)] : (? [X7 : nat] : ! [X8 : nat] : (member(X1,aa(nat,X1,X0,X8),X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8))) => ! [X8 : nat] : (member(X1,aa(nat,X1,X0,X8),X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK2826(X1,X0,X6)),X8))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39891,plain,(
% 58.13/9.47 ! [X0 : fun(nat,X1),X1 : $tType,X2 : X1] : ((sP1958(X1,X0,X2) | ? [X3 : set(X1)] : (! [X4 : nat] : ? [X5 : nat] : (~member(X1,aa(nat,X1,X0,X5),X3) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & member(X1,X2,X3) & topolo1002775350975398744n_open(X1,X3))) & (! [X6 : set(X1)] : (? [X7 : nat] : ! [X8 : nat] : (member(X1,aa(nat,X1,X0,X8),X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X7),X8))) | ~member(X1,X2,X6) | ~topolo1002775350975398744n_open(X1,X6)) | ~sP1958(X1,X0,X2)))),
% 58.13/9.47 inference(rectify,[],[f39890])).
% 58.13/9.47 tff(f39890,plain,(
% 58.13/9.47 ! [X1 : fun(nat,X0),X0 : $tType,X2 : X0] : ((sP1958(X0,X1,X2) | ? [X3 : set(X0)] : (! [X4 : nat] : ? [X5 : nat] : (~member(X0,aa(nat,X0,X1,X5),X3) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3))) & (! [X3 : set(X0)] : (? [X4 : nat] : ! [X5 : nat] : (member(X0,aa(nat,X0,X1,X5),X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3)) | ~sP1958(X0,X1,X2)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37135])).
% 58.13/9.47 tff(f37135,plain,(
% 58.13/9.47 ! [X1 : fun(nat,X0),X0 : $tType,X2 : X0] : (sP1958(X0,X1,X2) <=> ! [X3 : set(X0)] : (? [X4 : nat] : ! [X5 : nat] : (member(X0,aa(nat,X0,X1,X5),X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3)))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1958])])).
% 58.13/9.47 tff(f97757,plain,(
% 58.13/9.47 spl5880_3377),
% 58.13/9.47 inference(avatar_split_clause,[],[f54394,f97755])).
% 58.13/9.47 tff(f97755,plain,(
% 58.13/9.47 spl5880_3377 <=> ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2820(X0,X1,X2)) | ~sP1957(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3377])])).
% 58.13/9.47 tff(f54394,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2820(X0,X1,X2)) | ~sP1957(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39882])).
% 58.13/9.47 tff(f39882,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2820(X0,X1,X2)))) & finite_finite(set(X0),sK2820(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2820(X0,X1,X2)),X2))) | ~sP1957(X0,X1,X2))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2820])],[f39880,f39881])).
% 58.13/9.47 tff(f39881,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X3 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) & finite_finite(set(X0),X3) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2))) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2820(X0,X1,X2)))) & finite_finite(set(X0),sK2820(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2820(X0,X1,X2)),X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39880,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X3 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) & finite_finite(set(X0),X3) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2))) | ~sP1957(X0,X1,X2))),
% 58.13/9.47 inference(rectify,[],[f39879])).
% 58.13/9.47 tff(f39879,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1957(X0,X1,X2))),
% 58.13/9.47 inference(nnf_transformation,[],[f37133])).
% 58.13/9.47 tff(f37133,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1957(X0,X1,X2))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1957])])).
% 58.13/9.47 tff(f97753,plain,(
% 58.13/9.47 spl5880_3376),
% 58.13/9.47 inference(avatar_split_clause,[],[f54388,f97751])).
% 58.13/9.47 tff(f97751,plain,(
% 58.13/9.47 spl5880_3376 <=> ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2818(X0,X1,X2)) | ~sP1956(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3376])])).
% 58.13/9.47 tff(f54388,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2818(X0,X1,X2)) | ~sP1956(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39876])).
% 58.13/9.47 tff(f39876,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),sK2818(X0,X1,X2))) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2818(X0,X1,X2)),X2)) & finite_finite(set(X0),sK2818(X0,X1,X2))) | ~sP1956(X0,X1,X2))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2818])],[f39874,f39875])).
% 58.13/9.47 tff(f39875,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X3 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X3)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2)) & finite_finite(set(X0),X3)) => (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)),sK2818(X0,X1,X2))) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2818(X0,X1,X2)),X2)) & finite_finite(set(X0),sK2818(X0,X1,X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39874,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X3 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X3)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2)) & finite_finite(set(X0),X3)) | ~sP1956(X0,X1,X2))),
% 58.13/9.47 inference(rectify,[],[f39873])).
% 58.13/9.47 tff(f39873,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)) & finite_finite(set(X0),X4)) | ~sP1956(X0,X1,X2))),
% 58.13/9.47 inference(nnf_transformation,[],[f37131])).
% 58.13/9.47 tff(f37131,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)) & finite_finite(set(X0),X4)) | ~sP1956(X0,X1,X2))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1956])])).
% 58.13/9.47 tff(f97749,plain,(
% 58.13/9.47 spl5880_3375),
% 58.13/9.47 inference(avatar_split_clause,[],[f54369,f97747])).
% 58.13/9.47 tff(f97747,plain,(
% 58.13/9.47 spl5880_3375 <=> ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2815(X0,X1,X2)) | ~sP1951(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3375])])).
% 58.13/9.47 tff(f54369,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2815(X0,X1,X2)) | ~sP1951(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39866])).
% 58.13/9.47 tff(f39866,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1951(X0,X1,X2) | ! [X3 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X3)) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2)))) & ((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)),sK2815(X0,X1,X2))) & finite_finite(set(X0),sK2815(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2815(X0,X1,X2)),X2))) | ~sP1951(X0,X1,X2)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2815])],[f39864,f39865])).
% 58.13/9.47 tff(f39865,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) => (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)),sK2815(X0,X1,X2))) & finite_finite(set(X0),sK2815(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2815(X0,X1,X2)),X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39864,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1951(X0,X1,X2) | ! [X3 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X3)) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),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)) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1951(X0,X1,X2)))),
% 58.13/9.47 inference(rectify,[],[f39863])).
% 58.13/9.47 tff(f39863,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1951(X0,X1,X2) | ! [X4 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) | ~finite_finite(set(X0),X4) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),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)) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1951(X0,X1,X2)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37124])).
% 58.13/9.47 tff(f37124,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (sP1951(X0,X1,X2) <=> ? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1951])])).
% 58.13/9.47 tff(f97745,plain,(
% 58.13/9.47 spl5880_3374),
% 58.13/9.47 inference(avatar_split_clause,[],[f54357,f97743])).
% 58.13/9.47 tff(f97743,plain,(
% 58.13/9.47 spl5880_3374 <=> ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2812(X0,X1,X2)) | ~sP1948(X0,X1,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3374])])).
% 58.13/9.47 tff(f54357,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : set(set(X0)),X1 : set(X0)] : (finite_finite(set(X0),sK2812(X0,X1,X2)) | ~sP1948(X0,X1,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39856])).
% 58.13/9.47 tff(f39856,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1948(X0,X1,X2) | ! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2)))) & ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2812(X0,X1,X2)))) & finite_finite(set(X0),sK2812(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2812(X0,X1,X2)),X2))) | ~sP1948(X0,X1,X2)))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2812])],[f39854,f39855])).
% 58.13/9.47 tff(f39855,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) => (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),sK2812(X0,X1,X2)))) & finite_finite(set(X0),sK2812(X0,X1,X2)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),sK2812(X0,X1,X2)),X2))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f39854,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1948(X0,X1,X2) | ! [X3 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X3))) | ~finite_finite(set(X0),X3) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X3),X2)))) & (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1948(X0,X1,X2)))),
% 58.13/9.47 inference(rectify,[],[f39853])).
% 58.13/9.47 tff(f39853,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : ((sP1948(X0,X1,X2) | ! [X4 : set(set(X0))] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) | ~finite_finite(set(X0),X4) | ($true != aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)))) & (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ~sP1948(X0,X1,X2)))),
% 58.13/9.47 inference(nnf_transformation,[],[f37120])).
% 58.13/9.47 tff(f37120,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (sP1948(X0,X1,X2) <=> ? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))))),
% 58.13/9.47 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1948])])).
% 58.13/9.47 tff(f97741,plain,(
% 58.13/9.47 spl5880_3373),
% 58.13/9.47 inference(avatar_split_clause,[],[f54344,f97739])).
% 58.13/9.47 tff(f97739,plain,(
% 58.13/9.47 spl5880_3373 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | member(X0,sK2808(X0,X1),X1) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3373])])).
% 58.13/9.47 tff(f54344,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | member(X0,sK2808(X0,X1),X1) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39843])).
% 58.13/9.47 tff(f39843,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | (! [X3 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) | ~member(X0,sK2808(X0,X1),X3) | ~topolo1002775350975398744n_open(X0,X3)) & member(X0,sK2808(X0,X1),X1))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2808])],[f31141,f39842])).
% 58.13/9.47 tff(f39842,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3)) & member(X0,X2,X1)) => (! [X3 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) | ~member(X0,sK2808(X0,X1),X3) | ~topolo1002775350975398744n_open(X0,X3)) & member(X0,sK2808(X0,X1),X1)))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f31141,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | ? [X2 : X0] : (! [X3 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3)) & member(X0,X2,X1))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f12536])).
% 58.13/9.47 tff(f12536,plain,(
% 58.13/9.47 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3))) => topolo1002775350975398744n_open(X0,X1)))),
% 58.13/9.47 inference(fool_elimination,[],[f12535])).
% 58.13/9.47 tff(f12535,plain,(
% 58.13/9.47 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3))) => topolo1002775350975398744n_open(X0,X1)))),
% 58.13/9.47 inference(rectify,[],[f6357])).
% 58.13/9.47 tff(f6357,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X93 : set(X0)] : (! [X29 : X0] : (member(X0,X29,X93) => ? [X346 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X346),X93) & member(X0,X29,X346) & topolo1002775350975398744n_open(X0,X346))) => topolo1002775350975398744n_open(X0,X93)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6356_openI)).
% 58.13/9.47 tff(f97737,plain,(
% 58.13/9.47 spl5880_3372),
% 58.13/9.47 inference(avatar_split_clause,[],[f54269,f97735])).
% 58.13/9.47 tff(f97735,plain,(
% 58.13/9.47 spl5880_3372 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_vi(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3372])])).
% 58.13/9.47 tff(f54269,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_vi(X0,X0),X1) = X1 | ~topological_t2_space(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f31080])).
% 58.13/9.47 tff(f31080,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_vi(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24515])).
% 58.13/9.47 tff(f24515,plain,(
% 58.13/9.47 ! [X0 : $tType] : (topological_t2_space(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_vi(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9027])).
% 58.13/9.47 tff(f9027,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (topological_t2_space(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_vi(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9026_ATP_Olambda__846)).
% 58.13/9.47 tff(f97733,plain,(
% 58.13/9.47 spl5880_3371),
% 58.13/9.47 inference(avatar_split_clause,[],[f53992,f97731])).
% 58.13/9.47 tff(f97731,plain,(
% 58.13/9.47 spl5880_3371 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3371])])).
% 58.13/9.47 tff(f53992,plain,(
% 58.13/9.47 ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f30830])).
% 58.13/9.47 tff(f30830,plain,(
% 58.13/9.47 ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f7067])).
% 58.13/9.47 tff(f7067,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7066_not__iszero__neg__1)).
% 58.13/9.47 tff(f97729,plain,(
% 58.13/9.47 spl5880_3370),
% 58.13/9.47 inference(avatar_split_clause,[],[f53904,f97727])).
% 58.13/9.47 tff(f97727,plain,(
% 58.13/9.47 spl5880_3370 <=> ! [X0 : $tType,X1 : X0] : (order_strict_mono(X0,X0,aTP_Lamp_jn(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3370])])).
% 58.13/9.47 tff(f53904,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (order_strict_mono(X0,X0,aTP_Lamp_jn(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f30719])).
% 58.13/9.47 tff(f30719,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : order_strict_mono(X0,X0,aTP_Lamp_jn(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f24374])).
% 58.13/9.47 tff(f24374,plain,(
% 58.13/9.47 ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : X0] : order_strict_mono(X0,X0,aTP_Lamp_jn(X0,fun(X0,X0),X1)))),
% 58.13/9.47 inference(rectify,[],[f6941])).
% 58.13/9.47 tff(f6941,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (linordered_semidom(X0) => ! [X24 : X0] : order_strict_mono(X0,X0,aTP_Lamp_jn(X0,fun(X0,X0),X24)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6940_strict__mono__add)).
% 58.13/9.47 tff(f97725,plain,(
% 58.13/9.47 spl5880_3369),
% 58.13/9.47 inference(avatar_split_clause,[],[f52604,f97723])).
% 58.13/9.47 tff(f97723,plain,(
% 58.13/9.47 spl5880_3369 <=> ! [X0 : $tType,X1 : int] : (power_int(X0,zero_zero(X0),X1) = iG428(X0,X1) | ~division_ring(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3369])])).
% 58.13/9.47 tff(f52604,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : int] : (power_int(X0,zero_zero(X0),X1) = iG428(X0,X1) | ~division_ring(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f29769])).
% 58.13/9.47 tff(f29769,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : int] : power_int(X0,zero_zero(X0),X1) = iG428(X0,X1) | ~division_ring(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f11267])).
% 58.13/9.47 tff(f11267,plain,(
% 58.13/9.47 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : int] : power_int(X0,zero_zero(X0),X1) = iG428(X0,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f11265,f11266])).
% 58.13/9.47 tff(f11266,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => zero_zero(X0) = iG428(X0,X1)) & ! [X0 : $tType,X1 : int] : (zero_zero(int) = X1 => one_one(X0) = iG428(X0,X1))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG428])])).
% 58.13/9.47 tff(f11265,plain,(
% 58.13/9.47 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : int] : power_int(X0,zero_zero(X0),X1) = $ite(zero_zero(int) = X1, one_one(X0),zero_zero(X0)))),
% 58.13/9.47 inference(rectify,[],[f7040])).
% 58.13/9.47 tff(f7040,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (division_ring(X0) => ! [X15 : int] : power_int(X0,zero_zero(X0),X15) = $ite(zero_zero(int) = X15, one_one(X0),zero_zero(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7039_power__int__0__left__If)).
% 58.13/9.47 tff(f97721,plain,(
% 58.13/9.47 spl5880_3368),
% 58.13/9.47 inference(avatar_split_clause,[],[f52301,f97719])).
% 58.13/9.47 tff(f97719,plain,(
% 58.13/9.47 spl5880_3368 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1894(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3368])])).
% 58.13/9.47 tff(f52301,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1894(X0,X2,X1) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f37035])).
% 58.13/9.47 tff(f37035,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((sP1894(X0,X2,X1) & zero_zero(X0) != X1) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 58.13/9.47 inference(definition_folding,[],[f29502,f37034])).
% 58.13/9.47 tff(f29502,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((? [X3 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & divide_divide(X0,one_one(X0),X3) = X1 & divide_divide(X0,one_one(X0),X1) = X3 & dvd_dvd(X0,X3,one_one(X0)) & zero_zero(X0) != X3) & zero_zero(X0) != X1) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 58.13/9.47 inference(flattening,[],[f29501])).
% 58.13/9.47 tff(f29501,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((? [X3 : X0] : (((((divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) & divide_divide(X0,one_one(X0),X3) = X1) & divide_divide(X0,one_one(X0),X1) = X3) & dvd_dvd(X0,X3,one_one(X0))) & zero_zero(X0) != X3) & zero_zero(X0) != X1) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23729])).
% 58.13/9.47 tff(f23729,plain,(
% 58.13/9.47 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => ~(zero_zero(X0) != X1 => ! [X3 : X0] : (zero_zero(X0) != X3 => (dvd_dvd(X0,X3,one_one(X0)) => (divide_divide(X0,one_one(X0),X1) = X3 => (divide_divide(X0,one_one(X0),X3) = X1 => (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) => divide_divide(X0,X2,X1) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3)))))))))),
% 58.13/9.47 inference(rectify,[],[f2128])).
% 58.13/9.47 tff(f2128,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X11 : X0,X17 : X0] : (dvd_dvd(X0,X11,one_one(X0)) => ~(zero_zero(X0) != X11 => ! [X107 : X0] : (zero_zero(X0) != X107 => (dvd_dvd(X0,X107,one_one(X0)) => (divide_divide(X0,one_one(X0),X11) = X107 => (divide_divide(X0,one_one(X0),X107) = X11 => (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X107) => divide_divide(X0,X17,X11) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X107)))))))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2127_is__unitE)).
% 58.13/9.47 tff(f97717,plain,(
% 58.13/9.47 spl5880_3367),
% 58.13/9.47 inference(avatar_split_clause,[],[f52294,f97715])).
% 58.13/9.47 tff(f97715,plain,(
% 58.13/9.47 spl5880_3367 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (zero_zero(X1) != sK2715(X1,X0,X2) | ~sP1894(X1,X0,X2))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3367])])).
% 58.13/9.47 tff(f52294,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (zero_zero(X1) != sK2715(X1,X0,X2) | ~sP1894(X1,X0,X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f39258])).
% 58.13/9.47 tff(f97713,plain,(
% 58.13/9.47 spl5880_3366),
% 58.13/9.47 inference(avatar_split_clause,[],[f52285,f97711])).
% 58.13/9.47 tff(f97711,plain,(
% 58.13/9.47 spl5880_3366 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3366])])).
% 58.13/9.47 tff(f52285,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f29492])).
% 58.13/9.47 tff(f29492,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,X2) | ~dvd_dvd(X0,X1,one_one(X0))) | ~algebraic_semidom(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23722])).
% 58.13/9.47 tff(f23722,plain,(
% 58.13/9.47 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0] : (dvd_dvd(X0,X1,one_one(X0)) => dvd_dvd(X0,X1,X2)))),
% 58.13/9.47 inference(rectify,[],[f1967])).
% 58.13/9.47 tff(f1967,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X12 : X0,X11 : X0] : (dvd_dvd(X0,X12,one_one(X0)) => dvd_dvd(X0,X12,X11)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1966_unit__imp__dvd)).
% 58.13/9.47 tff(f97709,plain,(
% 58.13/9.47 spl5880_3365),
% 58.13/9.47 inference(avatar_split_clause,[],[f51831,f97707])).
% 58.13/9.47 tff(f97707,plain,(
% 58.13/9.47 spl5880_3365 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_vg(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3365])])).
% 58.13/9.47 tff(f51831,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_vg(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f29119])).
% 58.13/9.47 tff(f29119,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_vg(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23495])).
% 58.13/9.47 tff(f23495,plain,(
% 58.13/9.47 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_vg(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9025])).
% 58.13/9.47 tff(f9025,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_vg(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9024_ATP_Olambda__844)).
% 58.13/9.47 tff(f97705,plain,(
% 58.13/9.47 spl5880_3364),
% 58.13/9.47 inference(avatar_split_clause,[],[f51720,f97703])).
% 58.13/9.47 tff(f97703,plain,(
% 58.13/9.47 spl5880_3364 <=> ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1)) | ~real_V3459762299906320749_field(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3364])])).
% 58.13/9.47 tff(f51720,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1)) | ~real_V3459762299906320749_field(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28998])).
% 58.13/9.47 tff(f28998,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1)) | ~real_V3459762299906320749_field(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23408])).
% 58.13/9.47 tff(f23408,plain,(
% 58.13/9.47 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X1)))),
% 58.13/9.47 inference(rectify,[],[f6338])).
% 58.13/9.47 tff(f6338,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X18 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_va(X0,fun(X0,X0),X18)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6337_bounded__linear__divide)).
% 58.13/9.47 tff(f97701,plain,(
% 58.13/9.47 spl5880_3363),
% 58.13/9.47 inference(avatar_split_clause,[],[f51719,f97699])).
% 58.13/9.47 tff(f97699,plain,(
% 58.13/9.47 spl5880_3363 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_nr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3363])])).
% 58.13/9.47 tff(f51719,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_nr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28997])).
% 58.13/9.47 tff(f28997,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_nr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23407])).
% 58.13/9.47 tff(f23407,plain,(
% 58.13/9.47 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_nr(X0,X0),X1) = X1)),
% 58.13/9.47 inference(rectify,[],[f9026])).
% 58.13/9.47 tff(f9026,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X105 : X0] : aa(X0,X0,aTP_Lamp_nr(X0,X0),X105) = X105)),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9025_ATP_Olambda__845)).
% 58.13/9.47 tff(f97697,plain,(
% 58.13/9.47 spl5880_3362),
% 58.13/9.47 inference(avatar_split_clause,[],[f51060,f97695])).
% 58.13/9.47 tff(f97695,plain,(
% 58.13/9.47 spl5880_3362 <=> ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aTP_Lamp_vb(X0,fun(X0,X0),X1)) | ~real_V4412858255891104859lgebra(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3362])])).
% 58.13/9.47 tff(f51060,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (real_V3181309239436604168linear(X0,X0,aTP_Lamp_vb(X0,fun(X0,X0),X1)) | ~real_V4412858255891104859lgebra(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28423])).
% 58.13/9.47 tff(f28423,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_vb(X0,fun(X0,X0),X1)) | ~real_V4412858255891104859lgebra(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23228])).
% 58.13/9.47 tff(f23228,plain,(
% 58.13/9.47 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X1 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_vb(X0,fun(X0,X0),X1)))),
% 58.13/9.47 inference(rectify,[],[f6342])).
% 58.13/9.47 tff(f6342,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (real_V4412858255891104859lgebra(X0) => ! [X18 : X0] : real_V3181309239436604168linear(X0,X0,aTP_Lamp_vb(X0,fun(X0,X0),X18)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6341_bounded__linear__mult__left)).
% 58.13/9.47 tff(f97693,plain,(
% 58.13/9.47 spl5880_3361),
% 58.13/9.47 inference(avatar_split_clause,[],[f50890,f97691])).
% 58.13/9.47 tff(f97691,plain,(
% 58.13/9.47 spl5880_3361 <=> ! [X0 : $tType,X1 : real] : (real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3361])])).
% 58.13/9.47 tff(f50890,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : real] : (real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28329])).
% 58.13/9.47 tff(f28329,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : real] : real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f23191])).
% 58.13/9.47 tff(f23191,plain,(
% 58.13/9.47 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : real] : real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)))),
% 58.13/9.47 inference(rectify,[],[f4052])).
% 58.13/9.47 tff(f4052,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X92 : real] : real_Vector_of_real(X0,X92) = real_V8093663219630862766scaleR(X0,X92,one_one(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4051_of__real__def)).
% 58.13/9.47 tff(f97689,plain,(
% 58.13/9.47 spl5880_3360),
% 58.13/9.47 inference(avatar_split_clause,[],[f50672,f97687])).
% 58.13/9.47 tff(f50672,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (powr(X0,X1,X2) = iG349(X0,X1,X2) | ~ln(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28167])).
% 58.13/9.47 tff(f28167,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : powr(X0,X1,X2) = iG349(X0,X1,X2) | ~ln(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f10054])).
% 58.13/9.47 tff(f10054,plain,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X1 : X0,X2 : X0] : powr(X0,X1,X2) = iG349(X0,X1,X2))),
% 58.13/9.47 inference(fool_elimination,[],[f10052,f10053])).
% 58.13/9.47 tff(f10053,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) = X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG349(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG349(X0,X1,X2))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG349])])).
% 58.13/9.47 tff(f10052,plain,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X1 : X0,X2 : X0] : powr(X0,X1,X2) = $ite(zero_zero(X0) = X1, zero_zero(X0),exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1)))))),
% 58.13/9.47 inference(rectify,[],[f3618])).
% 58.13/9.47 tff(f3618,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X9 : X0,X11 : X0] : powr(X0,X9,X11) = $ite(zero_zero(X0) = X9, zero_zero(X0),exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),aa(X0,X0,ln_ln(X0),X9)))))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3617_powr__def)).
% 58.13/9.47 tff(f97685,plain,(
% 58.13/9.47 spl5880_3359),
% 58.13/9.47 inference(avatar_split_clause,[],[f50671,f97683])).
% 58.13/9.47 tff(f97683,plain,(
% 58.13/9.47 spl5880_3359 <=> ! [X0 : $tType,X1 : X0] : (powr(X0,X1,zero_zero(X0)) = iG348(X0,X1) | ~ln(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3359])])).
% 58.13/9.47 tff(f50671,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (powr(X0,X1,zero_zero(X0)) = iG348(X0,X1) | ~ln(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28166])).
% 58.13/9.47 tff(f28166,plain,(
% 58.13/9.47 ! [X0 : $tType] : (! [X1 : X0] : powr(X0,X1,zero_zero(X0)) = iG348(X0,X1) | ~ln(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f10051])).
% 58.13/9.47 tff(f10051,plain,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : powr(X0,X1,zero_zero(X0)) = iG348(X0,X1))),
% 58.13/9.47 inference(fool_elimination,[],[f10049,f10050])).
% 58.13/9.47 tff(f10050,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG348(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG348(X0,X1))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG348])])).
% 58.13/9.47 tff(f10049,plain,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : powr(X0,X1,zero_zero(X0)) = $ite(zero_zero(X0) = X1, zero_zero(X0),one_one(X0)))),
% 58.13/9.47 inference(rectify,[],[f3484])).
% 58.13/9.47 tff(f3484,axiom,(
% 58.13/9.47 ! [X0 : $tType] : (ln(X0) => ! [X9 : X0] : powr(X0,X9,zero_zero(X0)) = $ite(zero_zero(X0) = X9, zero_zero(X0),one_one(X0)))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3483_powr__zero__eq__one)).
% 58.13/9.47 tff(f97681,plain,(
% 58.13/9.47 spl5880_3358),
% 58.13/9.47 inference(avatar_split_clause,[],[f50654,f97679])).
% 58.13/9.47 tff(f97679,plain,(
% 58.13/9.47 spl5880_3358 <=> ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),sK2555(X0))) | vEBT_VEBT_minNull(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3358])])).
% 58.13/9.47 tff(f50654,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),sK2555(X0))) | vEBT_VEBT_minNull(X0)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38697])).
% 58.13/9.47 tff(f38697,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),sK2555(X0))) | vEBT_VEBT_minNull(X0))),
% 58.13/9.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2555])],[f28149,f38696])).
% 58.13/9.47 tff(f38696,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (? [X1 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),sK2555(X0))))),
% 58.13/9.47 introduced(choice_axiom,[])).
% 58.13/9.47 tff(f28149,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (? [X1 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)) | vEBT_VEBT_minNull(X0))),
% 58.13/9.47 inference(ennf_transformation,[],[f10030])).
% 58.13/9.47 tff(f10030,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X0) => ? [X1 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)))),
% 58.13/9.47 inference(fool_elimination,[],[f10029])).
% 58.13/9.47 tff(f10029,plain,(
% 58.13/9.47 ! [X0 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X0) => ? [X1 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1))),
% 58.13/9.47 inference(rectify,[],[f663])).
% 58.13/9.47 tff(f663,axiom,(
% 58.13/9.47 ! [X7 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X7) => ? [X51 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X51))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_662_not__min__Null__member)).
% 58.13/9.47 tff(f97677,plain,(
% 58.13/9.47 spl5880_3357),
% 58.13/9.47 inference(avatar_split_clause,[],[f50263,f97675])).
% 58.13/9.47 tff(f97675,plain,(
% 58.13/9.47 spl5880_3357 <=> ! [X0 : real] : sums(real,aTP_Lamp_ey(real,fun(nat,real),X0),cos(real,X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3357])])).
% 58.13/9.47 tff(f50263,plain,(
% 58.13/9.47 ( ! [X0 : real] : (sums(real,aTP_Lamp_ey(real,fun(nat,real),X0),cos(real,X0))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f22794])).
% 58.13/9.47 tff(f22794,plain,(
% 58.13/9.47 ! [X0 : real] : sums(real,aTP_Lamp_ey(real,fun(nat,real),X0),cos(real,X0))),
% 58.13/9.47 inference(rectify,[],[f3867])).
% 58.13/9.47 tff(f3867,axiom,(
% 58.13/9.47 ! [X9 : real] : sums(real,aTP_Lamp_ey(real,fun(nat,real),X9),cos(real,X9))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3866_cos__paired)).
% 58.13/9.47 tff(f97673,plain,(
% 58.13/9.47 spl5880_3356),
% 58.13/9.47 inference(avatar_split_clause,[],[f50262,f97671])).
% 58.13/9.47 tff(f97671,plain,(
% 58.13/9.47 spl5880_3356 <=> ! [X0 : real] : sums(real,aTP_Lamp_en(real,fun(nat,real),X0),sin(real,X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3356])])).
% 58.13/9.47 tff(f50262,plain,(
% 58.13/9.47 ( ! [X0 : real] : (sums(real,aTP_Lamp_en(real,fun(nat,real),X0),sin(real,X0))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f22793])).
% 58.13/9.47 tff(f22793,plain,(
% 58.13/9.47 ! [X0 : real] : sums(real,aTP_Lamp_en(real,fun(nat,real),X0),sin(real,X0))),
% 58.13/9.47 inference(rectify,[],[f3753])).
% 58.13/9.47 tff(f3753,axiom,(
% 58.13/9.47 ! [X9 : real] : sums(real,aTP_Lamp_en(real,fun(nat,real),X9),sin(real,X9))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3752_sin__paired)).
% 58.13/9.47 tff(f97669,plain,(
% 58.13/9.47 spl5880_3355),
% 58.13/9.47 inference(avatar_split_clause,[],[f50259,f97667])).
% 58.13/9.47 tff(f97667,plain,(
% 58.13/9.47 spl5880_3355 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3355])])).
% 58.13/9.47 tff(f50259,plain,(
% 58.13/9.47 ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f22790])).
% 58.13/9.47 tff(f22790,plain,(
% 58.13/9.47 ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))),
% 58.13/9.47 inference(rectify,[],[f4649])).
% 58.13/9.47 tff(f4649,axiom,(
% 58.13/9.47 ! [X8 : nat] : bit_se2239418461657761734s_mask(nat,X8) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X8))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4648_nat__mask__eq)).
% 58.13/9.47 tff(f97665,plain,(
% 58.13/9.47 spl5880_3354),
% 58.13/9.47 inference(avatar_split_clause,[],[f50257,f97663])).
% 58.13/9.47 tff(f97663,plain,(
% 58.13/9.47 spl5880_3354 <=> ! [X0 : num] : none(num) = bit_and_not_num(one2,aa(num,num,bit1,X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3354])])).
% 58.13/9.47 tff(f50257,plain,(
% 58.13/9.47 ( ! [X0 : num] : (none(num) = bit_and_not_num(one2,aa(num,num,bit1,X0))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f22788])).
% 58.13/9.47 tff(f22788,plain,(
% 58.13/9.47 ! [X0 : num] : none(num) = bit_and_not_num(one2,aa(num,num,bit1,X0))),
% 58.13/9.47 inference(rectify,[],[f7388])).
% 58.13/9.47 tff(f7388,axiom,(
% 58.13/9.47 ! [X8 : num] : none(num) = bit_and_not_num(one2,aa(num,num,bit1,X8))),
% 58.13/9.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7387_and__not__num_Osimps_I3_J)).
% 58.13/9.47 tff(f97661,plain,(
% 58.13/9.47 spl5880_3353),
% 58.13/9.47 inference(avatar_split_clause,[],[f49081,f97659])).
% 58.13/9.47 tff(f97659,plain,(
% 58.13/9.47 spl5880_3353 <=> ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG356(X2,X3) | ~member(X2,X3,ring_1_Ints(X2)))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3353])])).
% 58.13/9.47 tff(f49081,plain,(
% 58.13/9.47 ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG356(X2,X3) | ~member(X2,X3,ring_1_Ints(X2))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28077])).
% 58.13/9.47 tff(f28077,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG356(X0,X1) | member(X0,X1,ring_1_Ints(X0))) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG356(X2,X3) | ~member(X2,X3,ring_1_Ints(X2)))),
% 58.13/9.47 inference(ennf_transformation,[],[f22604])).
% 58.13/9.47 tff(f22604,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG356(X0,X1)) & ! [X2 : $tType,X3 : X2] : (member(X2,X3,ring_1_Ints(X2)) => zero_zero(X2) = iG356(X2,X3))),
% 58.13/9.47 inference(flattening,[],[f22603])).
% 58.13/9.47 tff(f22603,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG356(X0,X1)) & ! [X2 : $tType,X3 : X2] : (member(X2,X3,ring_1_Ints(X2)) => zero_zero(X2) = iG356(X2,X3))),
% 58.13/9.47 inference(rectify,[],[f10368])).
% 58.13/9.47 tff(f97657,plain,(
% 58.13/9.47 spl5880_3352),
% 58.13/9.47 inference(avatar_split_clause,[],[f48942,f97655])).
% 58.13/9.47 tff(f97655,plain,(
% 58.13/9.47 spl5880_3352 <=> ! [X0 : $tType,X3 : fun(nat,X0),X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG425(X0,X1,X2,X3) | finite_finite(nat,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3352])])).
% 58.13/9.47 tff(f48942,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG425(X0,X1,X2,X3) | finite_finite(nat,X1)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f28019])).
% 58.13/9.47 tff(f97653,plain,(
% 58.13/9.47 spl5880_3351),
% 58.13/9.47 inference(avatar_split_clause,[],[f48824,f97651])).
% 58.13/9.47 tff(f97651,plain,(
% 58.13/9.47 spl5880_3351 <=> ! [X0 : $tType,X1 : X0] : (iG470(X0,X1) = iG471(X0,X1) | zero_zero(X0) = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3351])])).
% 58.13/9.47 tff(f48824,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (iG470(X0,X1) = iG471(X0,X1) | zero_zero(X0) = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27982])).
% 58.13/9.47 tff(f27982,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (iG470(X0,X1) = iG471(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG471(X2,X3) | zero_zero(X2) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f22398])).
% 58.13/9.47 tff(f22398,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => iG470(X0,X1) = iG471(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG471(X2,X3))),
% 58.13/9.47 inference(flattening,[],[f22397])).
% 58.13/9.47 tff(f22397,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => iG470(X0,X1) = iG471(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG471(X2,X3))),
% 58.13/9.47 inference(rectify,[],[f11707])).
% 58.13/9.47 tff(f97649,plain,(
% 58.13/9.47 spl5880_3350),
% 58.13/9.47 inference(avatar_split_clause,[],[f48792,f97647])).
% 58.13/9.47 tff(f97647,plain,(
% 58.13/9.47 spl5880_3350 <=> ! [X0 : $o,X1 : $o] : (($true = X0) | ($true = X1) | ($true != bG487(X0,X1)))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3350])])).
% 58.13/9.47 tff(f48792,plain,(
% 58.13/9.47 ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($true = X1) | ($true != bG487(X0,X1))) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38620])).
% 58.13/9.47 tff(f38620,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o] : ((($true = X0) | ($true = X1) | ($true != bG487(X0,X1))) & (($true = bG487(X0,X1)) | (($true != X0) & ($true != X1))))),
% 58.13/9.47 inference(flattening,[],[f38619])).
% 58.13/9.47 tff(f38619,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o] : (((($true = X0) | ($true = X1)) | ($true != bG487(X0,X1))) & (($true = bG487(X0,X1)) | (($true != X0) & ($true != X1))))),
% 58.13/9.47 inference(nnf_transformation,[],[f22375])).
% 58.13/9.47 tff(f22375,plain,(
% 58.13/9.47 ! [X0 : $o,X1 : $o] : ((($true = X0) | ($true = X1)) <=> ($true = bG487(X0,X1)))),
% 58.13/9.47 inference(rectify,[],[f12161])).
% 58.13/9.47 tff(f12161,plain,(
% 58.13/9.47 ! [X2 : $o,X1 : $o] : ((($true = X2) | ($true = X1)) <=> ($true = bG487(X2,X1)))),
% 58.13/9.47 introduced(fool_formula_definition,[new_symbols(definition,[bG487])])).
% 58.13/9.47 tff(f97645,plain,(
% 58.13/9.47 spl5880_3349),
% 58.13/9.47 inference(avatar_split_clause,[],[f48780,f97643])).
% 58.13/9.47 tff(f97643,plain,(
% 58.13/9.47 spl5880_3349 <=> ! [X0 : $tType,X1 : int] : (iG492(X0,X1) = iG493(X0,X1) | zero_zero(int) = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3349])])).
% 58.13/9.47 tff(f48780,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : int] : (iG492(X0,X1) = iG493(X0,X1) | zero_zero(int) = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27973])).
% 58.13/9.47 tff(f27973,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : int] : (iG492(X0,X1) = iG493(X0,X1) | zero_zero(int) = X1) & ! [X2 : $tType,X3 : int] : (zero_zero(X2) = iG493(X2,X3) | zero_zero(int) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f22368])).
% 58.13/9.47 tff(f22368,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : int] : (zero_zero(int) != X1 => iG492(X0,X1) = iG493(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => zero_zero(X2) = iG493(X2,X3))),
% 58.13/9.47 inference(flattening,[],[f22367])).
% 58.13/9.47 tff(f22367,plain,(
% 58.13/9.47 ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => iG492(X0,X1) = iG493(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => zero_zero(X2) = iG493(X2,X3))),
% 58.13/9.47 inference(rectify,[],[f12283])).
% 58.13/9.47 tff(f97641,plain,(
% 58.13/9.47 spl5880_3348),
% 58.13/9.47 inference(avatar_split_clause,[],[f48441,f97639])).
% 58.13/9.47 tff(f97639,plain,(
% 58.13/9.47 spl5880_3348 <=> ! [X0 : int,X1 : int] : (iG661(X1,X0) = iG662(X0,X1) | zero_zero(int) = X0)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3348])])).
% 58.13/9.47 tff(f48441,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : int] : (iG661(X1,X0) = iG662(X0,X1) | zero_zero(int) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27880])).
% 58.13/9.47 tff(f27880,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (iG661(X1,X0) = iG662(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG662(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.13/9.47 inference(ennf_transformation,[],[f22120])).
% 58.13/9.47 tff(f22120,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG661(X1,X0) = iG662(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG662(X2,X3) = X3)),
% 58.13/9.47 inference(flattening,[],[f22119])).
% 58.13/9.47 tff(f22119,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG661(X1,X0) = iG662(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG662(X2,X3) = X3)),
% 58.13/9.47 inference(rectify,[],[f14676])).
% 58.13/9.47 tff(f14676,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG661(X1,X0) = iG662(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = X0 => iG662(X0,X1) = X1)),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG662])])).
% 58.13/9.47 tff(f97637,plain,(
% 58.13/9.47 spl5880_3347),
% 58.13/9.47 inference(avatar_split_clause,[],[f48429,f97635])).
% 58.13/9.47 tff(f97635,plain,(
% 58.13/9.47 spl5880_3347 <=> ! [X0 : int,X1 : int] : (iG666(X1,X0) = iG667(X0,X1) | zero_zero(int) = X0)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3347])])).
% 58.13/9.47 tff(f48429,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : int] : (iG666(X1,X0) = iG667(X0,X1) | zero_zero(int) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27876])).
% 58.13/9.47 tff(f27876,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (iG666(X1,X0) = iG667(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG667(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.13/9.47 inference(ennf_transformation,[],[f22111])).
% 58.13/9.47 tff(f22111,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG666(X1,X0) = iG667(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG667(X2,X3) = X3)),
% 58.13/9.47 inference(flattening,[],[f22110])).
% 58.13/9.47 tff(f22110,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG666(X1,X0) = iG667(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG667(X2,X3) = X3)),
% 58.13/9.47 inference(rectify,[],[f14685])).
% 58.13/9.47 tff(f14685,plain,(
% 58.13/9.47 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG666(X1,X0) = iG667(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = X0 => iG667(X0,X1) = X1)),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG667])])).
% 58.13/9.47 tff(f97632,plain,(
% 58.13/9.47 spl5880_3346),
% 58.13/9.47 inference(avatar_split_clause,[],[f47881,f97630])).
% 58.13/9.47 tff(f47881,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG934(X0,X1,X2) | ~iG933(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38350])).
% 58.13/9.47 tff(f38350,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG934(X0,X1,X2) | ~iG933(X0,X1)) & (iG933(X0,X1) | ~iG934(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG934(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG934(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27769])).
% 58.13/9.47 tff(f27769,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG934(X0,X1,X2) <=> iG933(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG934(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21761])).
% 58.13/9.47 tff(f21761,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG934(X0,X1,X2) <=> iG933(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG934(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21760])).
% 58.13/9.47 tff(f21760,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG934(X0,X1,X2) <=> iG933(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG934(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15794])).
% 58.13/9.47 tff(f15794,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG934(X1,X3,X2) <=> iG933(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG934(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG934])])).
% 58.13/9.47 tff(f97627,plain,(
% 58.13/9.47 spl5880_3345),
% 58.13/9.47 inference(avatar_split_clause,[],[f47880,f97625])).
% 58.13/9.47 tff(f47880,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG933(X0,X1) | ~iG934(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38350])).
% 58.13/9.47 tff(f97622,plain,(
% 58.13/9.47 spl5880_3344),
% 58.13/9.47 inference(avatar_split_clause,[],[f47850,f97620])).
% 58.13/9.47 tff(f47850,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG946(X0,X1,X2) | ~iG945(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38339])).
% 58.13/9.47 tff(f38339,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG946(X0,X1,X2) | ~iG945(X0,X1)) & (iG945(X0,X1) | ~iG946(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG946(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG946(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27762])).
% 58.13/9.47 tff(f27762,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG946(X0,X1,X2) <=> iG945(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG946(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21736])).
% 58.13/9.47 tff(f21736,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG946(X0,X1,X2) <=> iG945(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG946(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21735])).
% 58.13/9.47 tff(f21735,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG946(X0,X1,X2) <=> iG945(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG946(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15808])).
% 58.13/9.47 tff(f15808,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG946(X1,X3,X2) <=> iG945(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG946(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG946])])).
% 58.13/9.47 tff(f97617,plain,(
% 58.13/9.47 spl5880_3343),
% 58.13/9.47 inference(avatar_split_clause,[],[f47849,f97615])).
% 58.13/9.47 tff(f47849,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG945(X0,X1) | ~iG946(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38339])).
% 58.13/9.47 tff(f97612,plain,(
% 58.13/9.47 spl5880_3342),
% 58.13/9.47 inference(avatar_split_clause,[],[f47823,f97610])).
% 58.13/9.47 tff(f47823,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG956(X0,X1,X2) | ~iG955(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38330])).
% 58.13/9.47 tff(f38330,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG956(X0,X1,X2) | ~iG955(X0,X1)) & (iG955(X0,X1) | ~iG956(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG956(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG956(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27755])).
% 58.13/9.47 tff(f27755,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG956(X0,X1,X2) <=> iG955(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG956(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21713])).
% 58.13/9.47 tff(f21713,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG956(X0,X1,X2) <=> iG955(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG956(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21712])).
% 58.13/9.47 tff(f21712,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG956(X0,X1,X2) <=> iG955(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG956(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15894])).
% 58.13/9.47 tff(f15894,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG956(X1,X3,X2) <=> iG955(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG956(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG956])])).
% 58.13/9.47 tff(f97607,plain,(
% 58.13/9.47 spl5880_3341),
% 58.13/9.47 inference(avatar_split_clause,[],[f47822,f97605])).
% 58.13/9.47 tff(f47822,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG955(X0,X1) | ~iG956(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38330])).
% 58.13/9.47 tff(f97602,plain,(
% 58.13/9.47 spl5880_3340),
% 58.13/9.47 inference(avatar_split_clause,[],[f47792,f97600])).
% 58.13/9.47 tff(f47792,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG968(X0,X1,X2) | ~iG967(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38319])).
% 58.13/9.47 tff(f38319,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG968(X0,X1,X2) | ~iG967(X0,X1)) & (iG967(X0,X1) | ~iG968(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG968(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG968(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27748])).
% 58.13/9.47 tff(f27748,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG968(X0,X1,X2) <=> iG967(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG968(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21688])).
% 58.13/9.47 tff(f21688,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG968(X0,X1,X2) <=> iG967(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG968(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21687])).
% 58.13/9.47 tff(f21687,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG968(X0,X1,X2) <=> iG967(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG968(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f15908])).
% 58.13/9.47 tff(f15908,plain,(
% 58.13/9.47 ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG968(X1,X3,X2) <=> iG967(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG968(X1,X3,X2) <=> ($true = X2)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG968])])).
% 58.13/9.47 tff(f97597,plain,(
% 58.13/9.47 spl5880_3339),
% 58.13/9.47 inference(avatar_split_clause,[],[f47791,f97595])).
% 58.13/9.47 tff(f47791,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG967(X0,X1) | ~iG968(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38319])).
% 58.13/9.47 tff(f97592,plain,(
% 58.13/9.47 spl5880_3338),
% 58.13/9.47 inference(avatar_split_clause,[],[f47186,f97590])).
% 58.13/9.47 tff(f47186,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1275(X0,X1,X2,X3) | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27613])).
% 58.13/9.47 tff(f27613,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (one_one(nat) = iG1275(X0,X1,X2,X3) | X0 = X1) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1275(X4,X5,X6,X7) | X4 != X5)),
% 58.13/9.47 inference(ennf_transformation,[],[f21292])).
% 58.13/9.47 tff(f21292,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (X0 != X1 => one_one(nat) = iG1275(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1275(X4,X5,X6,X7))),
% 58.13/9.47 inference(flattening,[],[f21291])).
% 58.13/9.47 tff(f21291,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (~X0 = X1 => one_one(nat) = iG1275(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1275(X4,X5,X6,X7))),
% 58.13/9.47 inference(rectify,[],[f17629])).
% 58.13/9.47 tff(f17629,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT)] : (~X1 = X21 => one_one(nat) = iG1275(X21,X1,X25,X24)) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT)] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X25)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1275(X21,X1,X25,X24))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1275])])).
% 58.13/9.47 tff(f97587,plain,(
% 58.13/9.47 spl5880_3337),
% 58.13/9.47 inference(avatar_split_clause,[],[f47135,f97585])).
% 58.13/9.47 tff(f47135,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1303(X0,X1,X2,X3) | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27602])).
% 58.13/9.47 tff(f27602,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (one_one(nat) = iG1303(X0,X1,X2,X3) | X0 = X1) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1303(X4,X5,X6,X7) | X4 != X5)),
% 58.13/9.47 inference(ennf_transformation,[],[f21257])).
% 58.13/9.47 tff(f21257,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (X0 != X1 => one_one(nat) = iG1303(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1303(X4,X5,X6,X7))),
% 58.13/9.47 inference(flattening,[],[f21256])).
% 58.13/9.47 tff(f21256,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (~X0 = X1 => one_one(nat) = iG1303(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1303(X4,X5,X6,X7))),
% 58.13/9.47 inference(rectify,[],[f17659])).
% 58.13/9.47 tff(f17659,plain,(
% 58.13/9.47 ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT)] : (~X1 = X21 => one_one(nat) = iG1303(X21,X1,X25,X24)) & ! [X21 : nat,X1 : nat,X25 : vEBT_VEBT,X24 : list(vEBT_VEBT)] : (X1 = X21 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X25)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X24),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X25)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1303(X21,X1,X25,X24))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1303])])).
% 58.13/9.47 tff(f97582,plain,(
% 58.13/9.47 spl5880_3336),
% 58.13/9.47 inference(avatar_split_clause,[],[f46805,f97580])).
% 58.13/9.47 tff(f46805,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1478(X0,X1,X2) | ~iG1477(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38066])).
% 58.13/9.47 tff(f38066,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG1478(X0,X1,X2) | ~iG1477(X0,X1)) & (iG1477(X0,X1) | ~iG1478(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG1478(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG1478(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27524])).
% 58.13/9.47 tff(f27524,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1478(X0,X1,X2) <=> iG1477(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG1478(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f21029])).
% 58.13/9.47 tff(f21029,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1478(X0,X1,X2) <=> iG1477(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1478(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f21028])).
% 58.13/9.47 tff(f21028,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1478(X0,X1,X2) <=> iG1477(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1478(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f17970])).
% 58.13/9.47 tff(f97577,plain,(
% 58.13/9.47 spl5880_3335),
% 58.13/9.47 inference(avatar_split_clause,[],[f46804,f97575])).
% 58.13/9.47 tff(f46804,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1477(X0,X1) | ~iG1478(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38066])).
% 58.13/9.47 tff(f97572,plain,(
% 58.13/9.47 spl5880_3334),
% 58.13/9.47 inference(avatar_split_clause,[],[f46740,f97570])).
% 58.13/9.47 tff(f46740,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1510(X0,X1,X2) | ~iG1509(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38044])).
% 58.13/9.47 tff(f38044,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG1510(X0,X1,X2) | ~iG1509(X0,X1)) & (iG1509(X0,X1) | ~iG1510(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG1510(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG1510(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27514])).
% 58.13/9.47 tff(f27514,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1510(X0,X1,X2) <=> iG1509(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG1510(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f20982])).
% 58.13/9.47 tff(f20982,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1510(X0,X1,X2) <=> iG1509(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1510(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f20981])).
% 58.13/9.47 tff(f20981,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1510(X0,X1,X2) <=> iG1509(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1510(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f18010])).
% 58.13/9.47 tff(f18010,plain,(
% 58.13/9.47 ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG1510(X1,X4,X3) <=> iG1509(X1,X4))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (iG1510(X1,X4,X3) <=> ($true = X3)))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1510])])).
% 58.13/9.47 tff(f97567,plain,(
% 58.13/9.47 spl5880_3333),
% 58.13/9.47 inference(avatar_split_clause,[],[f46739,f97565])).
% 58.13/9.47 tff(f46739,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1509(X0,X1) | ~iG1510(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38044])).
% 58.13/9.47 tff(f97562,plain,(
% 58.13/9.47 spl5880_3332),
% 58.13/9.47 inference(avatar_split_clause,[],[f46678,f97560])).
% 58.13/9.47 tff(f46678,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1538(X0,X1,X2) | ~iG1537(X0,X1) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38027])).
% 58.13/9.47 tff(f38027,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (((iG1538(X0,X1,X2) | ~iG1537(X0,X1)) & (iG1537(X0,X1) | ~iG1538(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG1538(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG1538(X3,X4,X5))) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(nnf_transformation,[],[f27498])).
% 58.13/9.47 tff(f27498,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : ((iG1538(X0,X1,X2) <=> iG1537(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG1538(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 58.13/9.47 inference(ennf_transformation,[],[f20934])).
% 58.13/9.47 tff(f20934,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG1538(X0,X1,X2) <=> iG1537(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1538(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(flattening,[],[f20933])).
% 58.13/9.47 tff(f20933,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG1538(X0,X1,X2) <=> iG1537(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG1538(X3,X4,X5) <=> ($true = X5)))),
% 58.13/9.47 inference(rectify,[],[f18688])).
% 58.13/9.47 tff(f97557,plain,(
% 58.13/9.47 spl5880_3331),
% 58.13/9.47 inference(avatar_split_clause,[],[f46677,f97555])).
% 58.13/9.47 tff(f46677,plain,(
% 58.13/9.47 ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG1537(X0,X1) | ~iG1538(X0,X1,X2) | zero_zero(nat) = X0) )),
% 58.13/9.47 inference(cnf_transformation,[],[f38027])).
% 58.13/9.47 tff(f97552,plain,(
% 58.13/9.47 spl5880_3330),
% 58.13/9.47 inference(avatar_split_clause,[],[f46392,f97550])).
% 58.13/9.47 tff(f46392,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (one_one(nat) = iG1682(X0,X1,X2,X3) | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27391])).
% 58.13/9.47 tff(f27391,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (one_one(nat) = iG1682(X0,X1,X2,X3) | X0 = X1) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1682(X4,X5,X6,X7) | X4 != X5)),
% 58.13/9.47 inference(ennf_transformation,[],[f20710])).
% 58.13/9.47 tff(f20710,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (X0 != X1 => one_one(nat) = iG1682(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1682(X4,X5,X6,X7))),
% 58.13/9.47 inference(flattening,[],[f20709])).
% 58.13/9.47 tff(f20709,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (~X0 = X1 => one_one(nat) = iG1682(X0,X1,X2,X3)) & ! [X4 : nat,X5 : nat,X6 : vEBT_VEBT,X7 : list(vEBT_VEBT)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X6)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X6)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1682(X4,X5,X6,X7))),
% 58.13/9.47 inference(rectify,[],[f19950])).
% 58.13/9.47 tff(f19950,plain,(
% 58.13/9.47 ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (~X0 = X5 => one_one(nat) = iG1682(X5,X0,X4,X3)) & ! [X5 : nat,X0 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT)] : (X0 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(X4)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(X4)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG1682(X5,X0,X4,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1682])])).
% 58.13/9.47 tff(f97548,plain,(
% 58.13/9.47 spl5880_3329),
% 58.13/9.47 inference(avatar_split_clause,[],[f46136,f97546])).
% 58.13/9.47 tff(f97546,plain,(
% 58.13/9.47 spl5880_3329 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X1 : nat] : (iG1825(X0,X1,X2,X3,X4) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3329])])).
% 58.13/9.47 tff(f46136,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1825(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27316])).
% 58.13/9.47 tff(f27316,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (iG1825(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1825(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20511])).
% 58.13/9.47 tff(f20511,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1825(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1825(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20510])).
% 58.13/9.47 tff(f20510,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1825(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1825(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f20395])).
% 58.13/9.47 tff(f20395,plain,(
% 58.13/9.47 ! [X2 : nat,X1 : nat,X4 : nat,X8 : list(vEBT_VEBT),X3 : nat] : (~X1 = X2 => iG1825(X2,X1,X4,X8,X3) = X2) & ! [X2 : nat,X1 : nat,X4 : nat,X8 : list(vEBT_VEBT),X3 : nat] : (X1 = X2 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X4)))) = iG1825(X2,X1,X4,X8,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1825])])).
% 58.13/9.47 tff(f97544,plain,(
% 58.13/9.47 spl5880_3328),
% 58.13/9.47 inference(avatar_split_clause,[],[f46128,f97542])).
% 58.13/9.47 tff(f97542,plain,(
% 58.13/9.47 spl5880_3328 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X1 : nat] : (iG1830(X0,X1,X2,X3,X4) = X0 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3328])])).
% 58.13/9.47 tff(f46128,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1830(X0,X1,X2,X3,X4) = X0 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27313])).
% 58.13/9.47 tff(f27313,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (iG1830(X0,X1,X2,X3,X4) = X0 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1830(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20503])).
% 58.13/9.47 tff(f20503,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1830(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1830(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20502])).
% 58.13/9.47 tff(f20502,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1830(X0,X1,X2,X3,X4) = X0) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1830(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f20402])).
% 58.13/9.47 tff(f20402,plain,(
% 58.13/9.47 ! [X2 : nat,X1 : nat,X4 : nat,X8 : list(vEBT_VEBT),X3 : nat] : (~X1 = X2 => iG1830(X2,X1,X4,X8,X3) = X2) & ! [X2 : nat,X1 : nat,X4 : nat,X8 : list(vEBT_VEBT),X3 : nat] : (X1 = X2 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X4)))) = iG1830(X2,X1,X4,X8,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1830])])).
% 58.13/9.47 tff(f97540,plain,(
% 58.13/9.47 spl5880_3327),
% 58.13/9.47 inference(avatar_split_clause,[],[f46118,f97538])).
% 58.13/9.47 tff(f97538,plain,(
% 58.13/9.47 spl5880_3327 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X1 : nat] : (iG1836(X0,X1,X2,X3,X4) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3327])])).
% 58.13/9.47 tff(f46118,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1836(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27309])).
% 58.13/9.47 tff(f27309,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (iG1836(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1836(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20493])).
% 58.13/9.47 tff(f20493,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1836(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1836(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20492])).
% 58.13/9.47 tff(f20492,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1836(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1836(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f20412])).
% 58.13/9.47 tff(f20412,plain,(
% 58.13/9.47 ! [X4 : nat,X2 : nat,X5 : nat,X10 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1836(X4,X2,X5,X10,X3) = X2) & ! [X4 : nat,X2 : nat,X5 : nat,X10 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),X5)))) = iG1836(X4,X2,X5,X10,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1836])])).
% 58.13/9.47 tff(f97536,plain,(
% 58.13/9.47 spl5880_3326),
% 58.13/9.47 inference(avatar_split_clause,[],[f46114,f97534])).
% 58.13/9.47 tff(f97534,plain,(
% 58.13/9.47 spl5880_3326 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X1 : nat] : (iG1838(X0,X1,X2,X3,X4) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3326])])).
% 58.13/9.47 tff(f46114,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1838(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27307])).
% 58.13/9.47 tff(f27307,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (iG1838(X0,X1,X2,X3,X4) = X1 | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1838(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.47 inference(ennf_transformation,[],[f20489])).
% 58.13/9.47 tff(f20489,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (X0 != X1 => iG1838(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1838(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(flattening,[],[f20488])).
% 58.13/9.47 tff(f20488,plain,(
% 58.13/9.47 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat] : (~X0 = X1 => iG1838(X0,X1,X2,X3,X4) = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat] : (X5 = X6 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),X7)))) = iG1838(X5,X6,X7,X8,X9))),
% 58.13/9.47 inference(rectify,[],[f20416])).
% 58.13/9.47 tff(f20416,plain,(
% 58.13/9.47 ! [X4 : nat,X2 : nat,X5 : nat,X10 : list(vEBT_VEBT),X3 : nat] : (~X2 = X4 => iG1838(X4,X2,X5,X10,X3) = X2) & ! [X4 : nat,X2 : nat,X5 : nat,X10 : list(vEBT_VEBT),X3 : nat] : (X2 = X4 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),X5)))) = iG1838(X4,X2,X5,X10,X3))),
% 58.13/9.47 introduced(fool_ite_definition,[new_symbols(definition,[iG1838])])).
% 58.13/9.47 tff(f97532,plain,(
% 58.13/9.47 spl5880_3325),
% 58.13/9.47 inference(avatar_split_clause,[],[f46104,f97530])).
% 58.13/9.47 tff(f97530,plain,(
% 58.13/9.47 spl5880_3325 <=> ! [X4 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (iG1844(X0,X1,X2,X3,X4) = X1 | X0 = X1)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3325])])).
% 58.13/9.47 tff(f46104,plain,(
% 58.13/9.47 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (iG1844(X0,X1,X2,X3,X4) = X1 | X0 = X1) )),
% 58.13/9.47 inference(cnf_transformation,[],[f27303])).
% 58.13/9.47 tff(f97472,plain,(
% 58.13/9.47 spl5880_3324 | ~spl5880_1536 | ~spl5880_3291),
% 58.13/9.47 inference(avatar_split_clause,[],[f97119,f97116,f86300,f97470])).
% 58.13/9.47 tff(f97470,plain,(
% 58.13/9.47 spl5880_3324 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3324])])).
% 58.13/9.47 tff(f97116,plain,(
% 58.13/9.47 spl5880_3291 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2) = iG1228($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3291])])).
% 58.13/9.47 tff(f97119,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3291)),
% 58.13/9.47 inference(forward_demodulation,[],[f97117,f86302])).
% 58.13/9.47 tff(f97117,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2) = iG1228($true)) ) | ~spl5880_3291),
% 58.13/9.47 inference(avatar_component_clause,[],[f97116])).
% 58.13/9.47 tff(f97468,plain,(
% 58.13/9.47 spl5880_3323 | ~spl5880_1536 | ~spl5880_3290),
% 58.13/9.47 inference(avatar_split_clause,[],[f97114,f97111,f86300,f97466])).
% 58.13/9.47 tff(f97466,plain,(
% 58.13/9.47 spl5880_3323 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3323])])).
% 58.13/9.47 tff(f97111,plain,(
% 58.13/9.47 spl5880_3290 <=> ! [X2 : nat,X0 : $o,X1 : $o] : vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2) = iG1228($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3290])])).
% 58.13/9.47 tff(f97114,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3290)),
% 58.13/9.47 inference(forward_demodulation,[],[f97112,f86302])).
% 58.13/9.47 tff(f97112,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2) = iG1228($true)) ) | ~spl5880_3290),
% 58.13/9.47 inference(avatar_component_clause,[],[f97111])).
% 58.13/9.47 tff(f97464,plain,(
% 58.13/9.47 spl5880_3322 | ~spl5880_1544 | ~spl5880_3289),
% 58.13/9.47 inference(avatar_split_clause,[],[f97109,f97106,f86336,f97462])).
% 58.13/9.47 tff(f97462,plain,(
% 58.13/9.47 spl5880_3322 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3322])])).
% 58.13/9.47 tff(f97106,plain,(
% 58.13/9.47 spl5880_3289 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3289])])).
% 58.13/9.47 tff(f97109,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X0)) ) | (~spl5880_1544 | ~spl5880_3289)),
% 58.13/9.47 inference(forward_demodulation,[],[f97107,f86338])).
% 58.13/9.47 tff(f97107,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X0)) ) | ~spl5880_3289),
% 58.13/9.47 inference(avatar_component_clause,[],[f97106])).
% 58.13/9.47 tff(f97460,plain,(
% 58.13/9.47 spl5880_3321 | ~spl5880_1544 | ~spl5880_3288),
% 58.13/9.47 inference(avatar_split_clause,[],[f97104,f97101,f86336,f97458])).
% 58.13/9.47 tff(f97458,plain,(
% 58.13/9.47 spl5880_3321 <=> ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3321])])).
% 58.13/9.47 tff(f97101,plain,(
% 58.13/9.47 spl5880_3288 <=> ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3288])])).
% 58.13/9.47 tff(f97104,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (iG717($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X1)) ) | (~spl5880_1544 | ~spl5880_3288)),
% 58.13/9.47 inference(forward_demodulation,[],[f97102,f86338])).
% 58.13/9.47 tff(f97102,plain,(
% 58.13/9.47 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X1)) ) | ~spl5880_3288),
% 58.13/9.47 inference(avatar_component_clause,[],[f97101])).
% 58.13/9.47 tff(f97456,plain,(
% 58.13/9.47 spl5880_3320 | ~spl5880_1536 | ~spl5880_3287),
% 58.13/9.47 inference(avatar_split_clause,[],[f97099,f97096,f86300,f97454])).
% 58.13/9.47 tff(f97454,plain,(
% 58.13/9.47 spl5880_3320 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | sP2026(X1,X0) | ~vEBT_VEBT_valid(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3320])])).
% 58.13/9.47 tff(f97096,plain,(
% 58.13/9.47 spl5880_3287 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | sP2026(X1,X0) | ~vEBT_VEBT_valid(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3287])])).
% 58.13/9.47 tff(f97099,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | sP2026(X1,X0) | ~vEBT_VEBT_valid(X0,X1)) ) | (~spl5880_1536 | ~spl5880_3287)),
% 58.13/9.47 inference(forward_demodulation,[],[f97097,f86302])).
% 58.13/9.47 tff(f97097,plain,(
% 58.13/9.47 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | sP2026(X1,X0) | ~vEBT_VEBT_valid(X0,X1)) ) | ~spl5880_3287),
% 58.13/9.47 inference(avatar_component_clause,[],[f97096])).
% 58.13/9.47 tff(f97452,plain,(
% 58.13/9.47 spl5880_3319 | ~spl5880_1544 | ~spl5880_3286),
% 58.13/9.47 inference(avatar_split_clause,[],[f97094,f97091,f86336,f97450])).
% 58.13/9.47 tff(f97450,plain,(
% 58.13/9.47 spl5880_3319 <=> ! [X0 : int,X1 : int] : aa(int,int,bit_concat_bit(iG717($true),X0),X1) = X1),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3319])])).
% 58.13/9.47 tff(f97091,plain,(
% 58.13/9.47 spl5880_3286 <=> ! [X0 : int,X1 : int] : aa(int,int,bit_concat_bit(iG894($true),X0),X1) = X1),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3286])])).
% 58.13/9.47 tff(f97094,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : int] : (aa(int,int,bit_concat_bit(iG717($true),X0),X1) = X1) ) | (~spl5880_1544 | ~spl5880_3286)),
% 58.13/9.47 inference(forward_demodulation,[],[f97092,f86338])).
% 58.13/9.47 tff(f97092,plain,(
% 58.13/9.47 ( ! [X0 : int,X1 : int] : (aa(int,int,bit_concat_bit(iG894($true),X0),X1) = X1) ) | ~spl5880_3286),
% 58.13/9.47 inference(avatar_component_clause,[],[f97091])).
% 58.13/9.47 tff(f97448,plain,(
% 58.13/9.47 spl5880_3318 | ~spl5880_1536 | ~spl5880_3285),
% 58.13/9.47 inference(avatar_split_clause,[],[f97089,f97086,f86300,f97446])).
% 58.13/9.47 tff(f97446,plain,(
% 58.13/9.47 spl5880_3318 <=> ! [X0 : $tType,X1 : X0] : aa(X0,nat,aTP_Lamp_ld(X0,nat),X1) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3318])])).
% 58.13/9.47 tff(f97086,plain,(
% 58.13/9.47 spl5880_3285 <=> ! [X0 : $tType,X1 : X0] : aa(X0,nat,aTP_Lamp_ld(X0,nat),X1) = iG1228($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3285])])).
% 58.13/9.47 tff(f97089,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,nat,aTP_Lamp_ld(X0,nat),X1) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3285)),
% 58.13/9.47 inference(forward_demodulation,[],[f97087,f86302])).
% 58.13/9.47 tff(f97087,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (aa(X0,nat,aTP_Lamp_ld(X0,nat),X1) = iG1228($true)) ) | ~spl5880_3285),
% 58.13/9.47 inference(avatar_component_clause,[],[f97086])).
% 58.13/9.47 tff(f97443,plain,(
% 58.13/9.47 spl5880_3317 | ~spl5880_1544 | ~spl5880_3282),
% 58.13/9.47 inference(avatar_split_clause,[],[f97076,f97073,f86336,f97441])).
% 58.13/9.47 tff(f97441,plain,(
% 58.13/9.47 spl5880_3317 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,iG717($true),X2) = X2 | ~semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3317])])).
% 58.13/9.47 tff(f97073,plain,(
% 58.13/9.47 spl5880_3282 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,iG894($true),X2) = X2 | ~semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3282])])).
% 58.13/9.47 tff(f97076,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,iG717($true),X2) = X2 | ~semiring_1(X0)) ) | (~spl5880_1544 | ~spl5880_3282)),
% 58.13/9.47 inference(forward_demodulation,[],[f97074,f86338])).
% 58.13/9.47 tff(f97074,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,iG894($true),X2) = X2 | ~semiring_1(X0)) ) | ~spl5880_3282),
% 58.13/9.47 inference(avatar_component_clause,[],[f97073])).
% 58.13/9.47 tff(f97439,plain,(
% 58.13/9.47 spl5880_3316 | ~spl5880_1544 | ~spl5880_3281),
% 58.13/9.47 inference(avatar_split_clause,[],[f97071,f97068,f86336,f97437])).
% 58.13/9.47 tff(f97437,plain,(
% 58.13/9.47 spl5880_3316 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,iG717($true)) | ~comm_semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3316])])).
% 58.13/9.47 tff(f97068,plain,(
% 58.13/9.47 spl5880_3281 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,iG894($true)) | ~comm_semiring_1(X0))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3281])])).
% 58.13/9.47 tff(f97071,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,iG717($true)) | ~comm_semiring_1(X0)) ) | (~spl5880_1544 | ~spl5880_3281)),
% 58.13/9.47 inference(forward_demodulation,[],[f97069,f86338])).
% 58.13/9.47 tff(f97069,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,iG894($true)) | ~comm_semiring_1(X0)) ) | ~spl5880_3281),
% 58.13/9.47 inference(avatar_component_clause,[],[f97068])).
% 58.13/9.47 tff(f97435,plain,(
% 58.13/9.47 spl5880_3315 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3279),
% 58.13/9.47 inference(avatar_split_clause,[],[f97062,f97058,f86336,f86300,f97433])).
% 58.13/9.47 tff(f97433,plain,(
% 58.13/9.47 spl5880_3315 <=> ! [X0 : nat] : iG714($true) = aa(nat,nat,binomial(X0),iG717($true))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3315])])).
% 58.13/9.47 tff(f97058,plain,(
% 58.13/9.47 spl5880_3279 <=> ! [X0 : nat] : iG1228($true) = aa(nat,nat,binomial(X0),iG894($true))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3279])])).
% 58.13/9.47 tff(f97062,plain,(
% 58.13/9.47 ( ! [X0 : nat] : (iG714($true) = aa(nat,nat,binomial(X0),iG717($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3279)),
% 58.13/9.47 inference(forward_demodulation,[],[f97061,f86302])).
% 58.13/9.47 tff(f97061,plain,(
% 58.13/9.47 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,binomial(X0),iG717($true))) ) | (~spl5880_1544 | ~spl5880_3279)),
% 58.13/9.47 inference(forward_demodulation,[],[f97059,f86338])).
% 58.13/9.47 tff(f97059,plain,(
% 58.13/9.47 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,binomial(X0),iG894($true))) ) | ~spl5880_3279),
% 58.13/9.47 inference(avatar_component_clause,[],[f97058])).
% 58.13/9.47 tff(f97431,plain,(
% 58.13/9.47 spl5880_3314 | ~spl5880_1536 | ~spl5880_3277),
% 58.13/9.47 inference(avatar_split_clause,[],[f97051,f97047,f86300,f97428])).
% 58.13/9.47 tff(f97428,plain,(
% 58.13/9.47 spl5880_3314 <=> one_one(int) = aa(nat,int,semiring_1_of_nat(int),iG714($true))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3314])])).
% 58.13/9.47 tff(f97047,plain,(
% 58.13/9.47 spl5880_3277 <=> one_one(int) = aa(nat,int,semiring_1_of_nat(int),iG1228($true))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3277])])).
% 58.13/9.47 tff(f97051,plain,(
% 58.13/9.47 one_one(int) = aa(nat,int,semiring_1_of_nat(int),iG714($true)) | (~spl5880_1536 | ~spl5880_3277)),
% 58.13/9.47 inference(forward_demodulation,[],[f97049,f86302])).
% 58.13/9.47 tff(f97049,plain,(
% 58.13/9.47 one_one(int) = aa(nat,int,semiring_1_of_nat(int),iG1228($true)) | ~spl5880_3277),
% 58.13/9.47 inference(avatar_component_clause,[],[f97047])).
% 58.13/9.47 tff(f97426,plain,(
% 58.13/9.47 spl5880_3313 | ~spl5880_1544 | ~spl5880_3276),
% 58.13/9.47 inference(avatar_split_clause,[],[f97045,f97042,f86336,f97424])).
% 58.13/9.47 tff(f97424,plain,(
% 58.13/9.47 spl5880_3313 <=> ! [X6 : $tType,X5 : X6,X7 : X6] : (bG466(X6,X7) = iG467(X6,iG717($true),X5,X7))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3313])])).
% 58.13/9.47 tff(f97042,plain,(
% 58.13/9.47 spl5880_3276 <=> ! [X6 : $tType,X5 : X6,X7 : X6] : (bG466(X6,X7) = iG467(X6,iG894($true),X5,X7))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3276])])).
% 58.13/9.47 tff(f97045,plain,(
% 58.13/9.47 ( ! [X6 : $tType,X7 : X6,X5 : X6] : ((bG466(X6,X7) = iG467(X6,iG717($true),X5,X7))) ) | (~spl5880_1544 | ~spl5880_3276)),
% 58.13/9.47 inference(forward_demodulation,[],[f97043,f86338])).
% 58.13/9.47 tff(f97043,plain,(
% 58.13/9.47 ( ! [X6 : $tType,X7 : X6,X5 : X6] : ((bG466(X6,X7) = iG467(X6,iG894($true),X5,X7))) ) | ~spl5880_3276),
% 58.13/9.47 inference(avatar_component_clause,[],[f97042])).
% 58.13/9.47 tff(f97422,plain,(
% 58.13/9.47 spl5880_3312 | ~spl5880_1544 | ~spl5880_3275),
% 58.13/9.47 inference(avatar_split_clause,[],[f97040,f97037,f86336,f97420])).
% 58.13/9.47 tff(f97420,plain,(
% 58.13/9.47 spl5880_3312 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) = iG514(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3312])])).
% 58.13/9.47 tff(f97037,plain,(
% 58.13/9.47 spl5880_3275 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG514(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3275])])).
% 58.13/9.47 tff(f97040,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) = iG514(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3275)),
% 58.13/9.47 inference(forward_demodulation,[],[f97038,f86338])).
% 58.13/9.47 tff(f97038,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG514(X0,X1)) ) | ~spl5880_3275),
% 58.13/9.47 inference(avatar_component_clause,[],[f97037])).
% 58.13/9.47 tff(f97418,plain,(
% 58.13/9.47 spl5880_3311 | ~spl5880_1544 | ~spl5880_3274),
% 58.13/9.47 inference(avatar_split_clause,[],[f97035,f97032,f86336,f97416])).
% 58.13/9.47 tff(f97416,plain,(
% 58.13/9.47 spl5880_3311 <=> ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) = iG548(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3311])])).
% 58.13/9.47 tff(f97032,plain,(
% 58.13/9.47 spl5880_3274 <=> ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG548(X0,X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3274])])).
% 58.13/9.47 tff(f97035,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (iG717($true) = X1 | zero_zero(X0) = iG548(X0,X1)) ) | (~spl5880_1544 | ~spl5880_3274)),
% 58.13/9.47 inference(forward_demodulation,[],[f97033,f86338])).
% 58.13/9.47 tff(f97033,plain,(
% 58.13/9.47 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG548(X0,X1)) ) | ~spl5880_3274),
% 58.13/9.47 inference(avatar_component_clause,[],[f97032])).
% 58.13/9.47 tff(f97414,plain,(
% 58.13/9.47 spl5880_3310 | ~spl5880_1544 | ~spl5880_3273),
% 58.13/9.47 inference(avatar_split_clause,[],[f97030,f97027,f86336,f97412])).
% 58.13/9.47 tff(f97412,plain,(
% 58.13/9.47 spl5880_3310 <=> ! [X3 : real] : zero_zero(real) = aa(real,real,root(iG717($true)),X3)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3310])])).
% 58.13/9.47 tff(f97027,plain,(
% 58.13/9.47 spl5880_3273 <=> ! [X3 : real] : zero_zero(real) = aa(real,real,root(iG894($true)),X3)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3273])])).
% 58.13/9.47 tff(f97030,plain,(
% 58.13/9.47 ( ! [X3 : real] : (zero_zero(real) = aa(real,real,root(iG717($true)),X3)) ) | (~spl5880_1544 | ~spl5880_3273)),
% 58.13/9.47 inference(forward_demodulation,[],[f97028,f86338])).
% 58.13/9.47 tff(f97028,plain,(
% 58.13/9.47 ( ! [X3 : real] : (zero_zero(real) = aa(real,real,root(iG894($true)),X3)) ) | ~spl5880_3273),
% 58.13/9.47 inference(avatar_component_clause,[],[f97027])).
% 58.13/9.47 tff(f97410,plain,(
% 58.13/9.47 spl5880_3309 | ~spl5880_1536 | ~spl5880_3268),
% 58.13/9.47 inference(avatar_split_clause,[],[f96998,f96995,f86300,f97408])).
% 58.13/9.47 tff(f97408,plain,(
% 58.13/9.47 spl5880_3309 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1029(X5),$true) = iG1032(iG714($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3309])])).
% 58.13/9.47 tff(f96995,plain,(
% 58.13/9.47 spl5880_3268 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1029(X5),$true) = iG1032(iG1228($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3268])])).
% 58.13/9.47 tff(f96998,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(iG714($true),X4,X5)) ) | (~spl5880_1536 | ~spl5880_3268)),
% 58.13/9.47 inference(forward_demodulation,[],[f96996,f86302])).
% 58.13/9.47 tff(f96996,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(iG1228($true),X4,X5)) ) | ~spl5880_3268),
% 58.13/9.47 inference(avatar_component_clause,[],[f96995])).
% 58.13/9.47 tff(f97406,plain,(
% 58.13/9.47 spl5880_3308 | ~spl5880_1536 | ~spl5880_3267),
% 58.13/9.47 inference(avatar_split_clause,[],[f96993,f96990,f86300,f97404])).
% 58.13/9.47 tff(f97404,plain,(
% 58.13/9.47 spl5880_3308 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1093(X0,X2,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3308])])).
% 58.13/9.47 tff(f96990,plain,(
% 58.13/9.47 spl5880_3267 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1228($true) = iG1093(X0,X2,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3267])])).
% 58.13/9.47 tff(f96993,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1093(X0,X2,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3267)),
% 58.13/9.47 inference(forward_demodulation,[],[f96991,f86302])).
% 58.13/9.47 tff(f96991,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1093(X0,X2,X2,X3,X4,X5)) ) | ~spl5880_3267),
% 58.13/9.47 inference(avatar_component_clause,[],[f96990])).
% 58.13/9.47 tff(f97402,plain,(
% 58.13/9.47 spl5880_3307 | ~spl5880_1536 | ~spl5880_3266),
% 58.13/9.47 inference(avatar_split_clause,[],[f96988,f96985,f86300,f97400])).
% 58.13/9.47 tff(f97400,plain,(
% 58.13/9.47 spl5880_3307 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1093(X1,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3307])])).
% 58.13/9.47 tff(f96985,plain,(
% 58.13/9.47 spl5880_3266 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1228($true) = iG1093(X1,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3266])])).
% 58.13/9.47 tff(f96988,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1093(X1,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3266)),
% 58.13/9.47 inference(forward_demodulation,[],[f96986,f86302])).
% 58.13/9.47 tff(f96986,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1093(X1,X1,X2,X3,X4,X5)) ) | ~spl5880_3266),
% 58.13/9.47 inference(avatar_component_clause,[],[f96985])).
% 58.13/9.47 tff(f97398,plain,(
% 58.13/9.47 spl5880_3306 | ~spl5880_1536 | ~spl5880_3265),
% 58.13/9.47 inference(avatar_split_clause,[],[f96983,f96980,f86300,f97396])).
% 58.13/9.47 tff(f97396,plain,(
% 58.13/9.47 spl5880_3306 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1124(X0,X2,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3306])])).
% 58.13/9.47 tff(f96980,plain,(
% 58.13/9.47 spl5880_3265 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1228($true) = iG1124(X0,X2,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3265])])).
% 58.13/9.47 tff(f96983,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1124(X0,X2,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3265)),
% 58.13/9.47 inference(forward_demodulation,[],[f96981,f86302])).
% 58.13/9.47 tff(f96981,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1124(X0,X2,X2,X3,X4,X5)) ) | ~spl5880_3265),
% 58.13/9.47 inference(avatar_component_clause,[],[f96980])).
% 58.13/9.47 tff(f97394,plain,(
% 58.13/9.47 spl5880_3305 | ~spl5880_1536 | ~spl5880_3264),
% 58.13/9.47 inference(avatar_split_clause,[],[f96978,f96975,f86300,f97392])).
% 58.13/9.47 tff(f97392,plain,(
% 58.13/9.47 spl5880_3305 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1124(X1,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3305])])).
% 58.13/9.47 tff(f96975,plain,(
% 58.13/9.47 spl5880_3264 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1228($true) = iG1124(X1,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3264])])).
% 58.13/9.47 tff(f96978,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1124(X1,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3264)),
% 58.13/9.47 inference(forward_demodulation,[],[f96976,f86302])).
% 58.13/9.47 tff(f96976,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1124(X1,X1,X2,X3,X4,X5)) ) | ~spl5880_3264),
% 58.13/9.47 inference(avatar_component_clause,[],[f96975])).
% 58.13/9.47 tff(f97390,plain,(
% 58.13/9.47 spl5880_3304 | ~spl5880_1536 | ~spl5880_3263),
% 58.13/9.47 inference(avatar_split_clause,[],[f96973,f96970,f86300,f97388])).
% 58.13/9.47 tff(f97388,plain,(
% 58.13/9.47 spl5880_3304 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1162(X0,X2,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3304])])).
% 58.13/9.47 tff(f96970,plain,(
% 58.13/9.47 spl5880_3263 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1228($true) = iG1162(X0,X2,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3263])])).
% 58.13/9.47 tff(f96973,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1162(X0,X2,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3263)),
% 58.13/9.47 inference(forward_demodulation,[],[f96971,f86302])).
% 58.13/9.47 tff(f96971,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1162(X0,X2,X2,X3,X4,X5)) ) | ~spl5880_3263),
% 58.13/9.47 inference(avatar_component_clause,[],[f96970])).
% 58.13/9.47 tff(f97386,plain,(
% 58.13/9.47 spl5880_3303 | ~spl5880_1536 | ~spl5880_3262),
% 58.13/9.47 inference(avatar_split_clause,[],[f96968,f96965,f86300,f97384])).
% 58.13/9.47 tff(f97384,plain,(
% 58.13/9.47 spl5880_3303 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1162(X1,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3303])])).
% 58.13/9.47 tff(f96965,plain,(
% 58.13/9.47 spl5880_3262 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1228($true) = iG1162(X1,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3262])])).
% 58.13/9.47 tff(f96968,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1162(X1,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3262)),
% 58.13/9.47 inference(forward_demodulation,[],[f96966,f86302])).
% 58.13/9.47 tff(f96966,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1162(X1,X1,X2,X3,X4,X5)) ) | ~spl5880_3262),
% 58.13/9.47 inference(avatar_component_clause,[],[f96965])).
% 58.13/9.47 tff(f97382,plain,(
% 58.13/9.47 spl5880_3302 | ~spl5880_1536 | ~spl5880_3261),
% 58.13/9.47 inference(avatar_split_clause,[],[f96963,f96960,f86300,f97380])).
% 58.13/9.47 tff(f97380,plain,(
% 58.13/9.47 spl5880_3302 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1199(X0,X2,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3302])])).
% 58.13/9.47 tff(f96960,plain,(
% 58.13/9.47 spl5880_3261 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X0 : nat,X5 : vEBT_VEBT,X2 : nat] : iG1228($true) = iG1199(X0,X2,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3261])])).
% 58.13/9.47 tff(f96963,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1199(X0,X2,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3261)),
% 58.13/9.47 inference(forward_demodulation,[],[f96961,f86302])).
% 58.13/9.47 tff(f96961,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1199(X0,X2,X2,X3,X4,X5)) ) | ~spl5880_3261),
% 58.13/9.47 inference(avatar_component_clause,[],[f96960])).
% 58.13/9.47 tff(f97378,plain,(
% 58.13/9.47 spl5880_3301 | ~spl5880_1536 | ~spl5880_3260),
% 58.13/9.47 inference(avatar_split_clause,[],[f96958,f96955,f86300,f97376])).
% 58.13/9.47 tff(f97376,plain,(
% 58.13/9.47 spl5880_3301 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1199(X1,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3301])])).
% 58.13/9.47 tff(f96955,plain,(
% 58.13/9.47 spl5880_3260 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1228($true) = iG1199(X1,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3260])])).
% 58.13/9.47 tff(f96958,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1199(X1,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3260)),
% 58.13/9.47 inference(forward_demodulation,[],[f96956,f86302])).
% 58.13/9.47 tff(f96956,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1199(X1,X1,X2,X3,X4,X5)) ) | ~spl5880_3260),
% 58.13/9.47 inference(avatar_component_clause,[],[f96955])).
% 58.13/9.47 tff(f97305,plain,(
% 58.13/9.47 spl5880_3300 | ~spl5880_1444 | ~spl5880_3239),
% 58.13/9.47 inference(avatar_split_clause,[],[f96869,f96866,f85787,f97303])).
% 58.13/9.47 tff(f97303,plain,(
% 58.13/9.47 spl5880_3300 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1242(X5),$true) = iG1245(iG714($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3300])])).
% 58.13/9.47 tff(f96866,plain,(
% 58.13/9.47 spl5880_3239 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1242(X5),$true) = iG1245(one_one(nat),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3239])])).
% 58.13/9.47 tff(f96869,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1242(X5),$true) = iG1245(iG714($true),X4,X5)) ) | (~spl5880_1444 | ~spl5880_3239)),
% 58.13/9.47 inference(forward_demodulation,[],[f96867,f85789])).
% 58.13/9.47 tff(f96867,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1242(X5),$true) = iG1245(one_one(nat),X4,X5)) ) | ~spl5880_3239),
% 58.13/9.47 inference(avatar_component_clause,[],[f96866])).
% 58.13/9.47 tff(f97301,plain,(
% 58.13/9.47 spl5880_3299 | ~spl5880_1443 | ~spl5880_3238),
% 58.13/9.47 inference(avatar_split_clause,[],[f96864,f96861,f85782,f97299])).
% 58.13/9.47 tff(f97299,plain,(
% 58.13/9.47 spl5880_3299 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1241(X4)) = iG1246(iG717($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3299])])).
% 58.13/9.47 tff(f96861,plain,(
% 58.13/9.47 spl5880_3238 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1241(X4)) = iG1246(zero_zero(nat),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3238])])).
% 58.13/9.47 tff(f96864,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1241(X4)) = iG1246(iG717($true),X4,X5)) ) | (~spl5880_1443 | ~spl5880_3238)),
% 58.13/9.47 inference(forward_demodulation,[],[f96862,f85784])).
% 58.13/9.47 tff(f96862,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1241(X4)) = iG1246(zero_zero(nat),X4,X5)) ) | ~spl5880_3238),
% 58.13/9.47 inference(avatar_component_clause,[],[f96861])).
% 58.13/9.47 tff(f97297,plain,(
% 58.13/9.47 spl5880_3298 | ~spl5880_1444 | ~spl5880_3237),
% 58.13/9.47 inference(avatar_split_clause,[],[f96859,f96856,f85787,f97295])).
% 58.13/9.47 tff(f97295,plain,(
% 58.13/9.47 spl5880_3298 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1256(X5),$true) = iG1259(iG714($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3298])])).
% 58.13/9.47 tff(f96856,plain,(
% 58.13/9.47 spl5880_3237 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf(bG1256(X5),$true) = iG1259(one_one(nat),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3237])])).
% 58.13/9.47 tff(f96859,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1256(X5),$true) = iG1259(iG714($true),X4,X5)) ) | (~spl5880_1444 | ~spl5880_3237)),
% 58.13/9.47 inference(forward_demodulation,[],[f96857,f85789])).
% 58.13/9.47 tff(f96857,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1256(X5),$true) = iG1259(one_one(nat),X4,X5)) ) | ~spl5880_3237),
% 58.13/9.47 inference(avatar_component_clause,[],[f96856])).
% 58.13/9.47 tff(f97293,plain,(
% 58.13/9.47 spl5880_3297 | ~spl5880_1443 | ~spl5880_3236),
% 58.13/9.47 inference(avatar_split_clause,[],[f96854,f96851,f85782,f97291])).
% 58.13/9.47 tff(f97291,plain,(
% 58.13/9.47 spl5880_3297 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1255(X4)) = iG1260(iG717($true),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3297])])).
% 58.13/9.47 tff(f96851,plain,(
% 58.13/9.47 spl5880_3236 <=> ! [X4 : $o,X5 : $o] : vEBT_Leaf($true,bG1255(X4)) = iG1260(zero_zero(nat),X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3236])])).
% 58.13/9.47 tff(f96854,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1255(X4)) = iG1260(iG717($true),X4,X5)) ) | (~spl5880_1443 | ~spl5880_3236)),
% 58.13/9.47 inference(forward_demodulation,[],[f96852,f85784])).
% 58.13/9.47 tff(f96852,plain,(
% 58.13/9.47 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1255(X4)) = iG1260(zero_zero(nat),X4,X5)) ) | ~spl5880_3236),
% 58.13/9.47 inference(avatar_component_clause,[],[f96851])).
% 58.13/9.47 tff(f97289,plain,(
% 58.13/9.47 spl5880_3296 | ~spl5880_1444 | ~spl5880_3235),
% 58.13/9.47 inference(avatar_split_clause,[],[f96849,f96846,f85787,f97287])).
% 58.13/9.47 tff(f97287,plain,(
% 58.13/9.47 spl5880_3296 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1658(X2,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3296])])).
% 58.13/9.47 tff(f96846,plain,(
% 58.13/9.47 spl5880_3235 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : one_one(nat) = iG1658(X2,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3235])])).
% 58.13/9.47 tff(f96849,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1658(X2,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1444 | ~spl5880_3235)),
% 58.13/9.47 inference(forward_demodulation,[],[f96847,f85789])).
% 58.13/9.47 tff(f96847,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X2,X1,X2,X3,X4,X5)) ) | ~spl5880_3235),
% 58.13/9.47 inference(avatar_component_clause,[],[f96846])).
% 58.13/9.47 tff(f97285,plain,(
% 58.13/9.47 spl5880_3295 | ~spl5880_1444 | ~spl5880_3234),
% 58.13/9.47 inference(avatar_split_clause,[],[f96844,f96841,f85787,f97283])).
% 58.13/9.47 tff(f97283,plain,(
% 58.13/9.47 spl5880_3295 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : iG1658(X1,X1,X2,X3,X4,X5) = iG714($true)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3295])])).
% 58.13/9.47 tff(f96841,plain,(
% 58.13/9.47 spl5880_3234 <=> ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT,X2 : nat,X1 : nat] : one_one(nat) = iG1658(X1,X1,X2,X3,X4,X5)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3234])])).
% 58.13/9.47 tff(f96844,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1658(X1,X1,X2,X3,X4,X5) = iG714($true)) ) | (~spl5880_1444 | ~spl5880_3234)),
% 58.13/9.47 inference(forward_demodulation,[],[f96842,f85789])).
% 58.13/9.47 tff(f96842,plain,(
% 58.13/9.47 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X1,X1,X2,X3,X4,X5)) ) | ~spl5880_3234),
% 58.13/9.47 inference(avatar_component_clause,[],[f96841])).
% 58.13/9.47 tff(f97161,plain,(
% 58.13/9.47 spl5880_3294 | ~spl5880_1408 | ~spl5880_3157),
% 58.13/9.47 inference(avatar_split_clause,[],[f96535,f96532,f85606,f97159])).
% 58.13/9.47 tff(f97159,plain,(
% 58.13/9.47 spl5880_3294 <=> ! [X1 : complex] : (im(imaginary_unit) = iG308(X1) | zero_zero(real) != im(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3294])])).
% 58.13/9.47 tff(f96532,plain,(
% 58.13/9.47 spl5880_3157 <=> ! [X1 : complex] : (one_one(real) = iG308(X1) | zero_zero(real) != im(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3157])])).
% 58.13/9.47 tff(f96535,plain,(
% 58.13/9.47 ( ! [X1 : complex] : (im(imaginary_unit) = iG308(X1) | zero_zero(real) != im(X1)) ) | (~spl5880_1408 | ~spl5880_3157)),
% 58.13/9.47 inference(forward_demodulation,[],[f96533,f85608])).
% 58.13/9.47 tff(f96533,plain,(
% 58.13/9.47 ( ! [X1 : complex] : (one_one(real) = iG308(X1) | zero_zero(real) != im(X1)) ) | ~spl5880_3157),
% 58.13/9.47 inference(avatar_component_clause,[],[f96532])).
% 58.13/9.47 tff(f97157,plain,(
% 58.13/9.47 spl5880_3293 | ~spl5880_1408 | ~spl5880_3156),
% 58.13/9.47 inference(avatar_split_clause,[],[f96530,f96527,f85606,f97155])).
% 58.13/9.47 tff(f97155,plain,(
% 58.13/9.47 spl5880_3293 <=> ! [X1 : complex] : (im(imaginary_unit) = iG311(X1) | zero_zero(real) != im(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3293])])).
% 58.13/9.47 tff(f96527,plain,(
% 58.13/9.47 spl5880_3156 <=> ! [X1 : complex] : (one_one(real) = iG311(X1) | zero_zero(real) != im(X1))),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3156])])).
% 58.13/9.47 tff(f96530,plain,(
% 58.13/9.47 ( ! [X1 : complex] : (im(imaginary_unit) = iG311(X1) | zero_zero(real) != im(X1)) ) | (~spl5880_1408 | ~spl5880_3156)),
% 58.13/9.47 inference(forward_demodulation,[],[f96528,f85608])).
% 58.13/9.47 tff(f96528,plain,(
% 58.13/9.47 ( ! [X1 : complex] : (one_one(real) = iG311(X1) | zero_zero(real) != im(X1)) ) | ~spl5880_3156),
% 58.13/9.47 inference(avatar_component_clause,[],[f96527])).
% 58.13/9.47 tff(f97150,plain,(
% 58.13/9.47 spl5880_3292 | ~spl5880_1408 | ~spl5880_3154),
% 58.13/9.47 inference(avatar_split_clause,[],[f96521,f96518,f85606,f97148])).
% 58.13/9.47 tff(f97148,plain,(
% 58.13/9.47 spl5880_3292 <=> ! [X1 : $tType,X0 : X1] : (im(imaginary_unit) = iG403(X1,X0) | zero_zero(X1) = X0)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3292])])).
% 58.13/9.47 tff(f96518,plain,(
% 58.13/9.47 spl5880_3154 <=> ! [X1 : $tType,X0 : X1] : (one_one(real) = iG403(X1,X0) | zero_zero(X1) = X0)),
% 58.13/9.47 introduced(avatar_definition,[new_symbols(naming,[spl5880_3154])])).
% 58.13/9.47 tff(f96521,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X0 : X1] : (im(imaginary_unit) = iG403(X1,X0) | zero_zero(X1) = X0) ) | (~spl5880_1408 | ~spl5880_3154)),
% 58.13/9.47 inference(forward_demodulation,[],[f96519,f85608])).
% 58.13/9.47 tff(f96519,plain,(
% 58.13/9.47 ( ! [X1 : $tType,X0 : X1] : (one_one(real) = iG403(X1,X0) | zero_zero(X1) = X0) ) | ~spl5880_3154),
% 58.13/9.47 inference(avatar_component_clause,[],[f96518])).
% 58.13/9.47 tff(f97118,plain,(
% 58.13/9.47 spl5880_3291),
% 58.13/9.47 inference(avatar_split_clause,[],[f75091,f97116])).
% 58.13/9.47 tff(f75091,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2) = iG1228($true)) )),
% 58.13/9.47 inference(forward_demodulation,[],[f60270,f67101])).
% 58.13/9.47 tff(f60270,plain,(
% 58.13/9.47 ( ! [X2 : nat,X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2)) )),
% 58.13/9.47 inference(cnf_transformation,[],[f17180])).
% 58.13/9.48 tff(f17180,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o,X2 : nat] : one_one(nat) = vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(bG1012(X0),bG1013(X1)),X2)),
% 58.13/9.48 inference(fool_elimination,[],[f17177,f17179,f17178])).
% 58.13/9.48 tff(f17178,plain,(
% 58.13/9.48 ! [X0 : $o] : (($true = X0) <=> ($true = bG1012(X0)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG1012])])).
% 58.13/9.48 tff(f17179,plain,(
% 58.13/9.48 ! [X1 : $o] : (($true = X1) <=> ($true = bG1013(X1)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG1013])])).
% 58.13/9.48 tff(f17177,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(X0,X1),X2) = one_one(nat)),
% 58.13/9.48 inference(rectify,[],[f1251])).
% 58.13/9.48 tff(f1251,axiom,(
% 58.13/9.48 ! [X11 : $o,X12 : $o,X9 : nat] : vEBT_T_i_n_s_e_r_t2(vEBT_Leaf(X11,X12),X9) = one_one(nat)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1250_T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H_Osimps_I1_J)).
% 58.13/9.48 tff(f97113,plain,(
% 58.13/9.48 spl5880_3290),
% 58.13/9.48 inference(avatar_split_clause,[],[f75089,f97111])).
% 58.13/9.48 tff(f75089,plain,(
% 58.13/9.48 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2) = iG1228($true)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f60268,f67101])).
% 58.13/9.48 tff(f60268,plain,(
% 58.13/9.48 ( ! [X2 : nat,X0 : $o,X1 : $o] : (one_one(nat) = vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f17171])).
% 58.13/9.48 tff(f17171,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o,X2 : nat] : one_one(nat) = vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(bG1007(X0),bG1008(X1)),X2)),
% 58.13/9.48 inference(fool_elimination,[],[f17168,f17170,f17169])).
% 58.13/9.48 tff(f17169,plain,(
% 58.13/9.48 ! [X0 : $o] : (($true = X0) <=> ($true = bG1007(X0)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG1007])])).
% 58.13/9.48 tff(f17170,plain,(
% 58.13/9.48 ! [X1 : $o] : (($true = X1) <=> ($true = bG1008(X1)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG1008])])).
% 58.13/9.48 tff(f17168,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o,X2 : nat] : vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(X0,X1),X2) = one_one(nat)),
% 58.13/9.48 inference(rectify,[],[f1631])).
% 58.13/9.48 tff(f1631,axiom,(
% 58.13/9.48 ! [X11 : $o,X12 : $o,X9 : nat] : vEBT_T_m_e_m_b_e_r2(vEBT_Leaf(X11,X12),X9) = one_one(nat)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1630_T_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062b_092_060_094sub_062e_092_060_094sub_062r_H_Osimps_I1_J)).
% 58.13/9.48 tff(f97108,plain,(
% 58.13/9.48 spl5880_3289),
% 58.13/9.48 inference(avatar_split_clause,[],[f73210,f97106])).
% 58.13/9.48 tff(f73210,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f58118,f67338])).
% 58.13/9.48 tff(f58118,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK3718(X0,X1),X0) | zero_zero(nat) = X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41602])).
% 58.13/9.48 tff(f41602,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK3719(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),sK3720(X0,X1))),sK3718(X0,X1)) & dvd_dvd(nat,sK3718(X0,X1),X1) & dvd_dvd(nat,sK3718(X0,X1),X0)) | zero_zero(nat) = X0)),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3718,sK3719,sK3720])],[f33788,f41601])).
% 58.13/9.48 tff(f41601,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat] : (? [X2 : nat,X3 : nat,X4 : nat] : (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) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0)) => (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK3719(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),sK3720(X0,X1))),sK3718(X0,X1)) & dvd_dvd(nat,sK3718(X0,X1),X1) & dvd_dvd(nat,sK3718(X0,X1),X0)))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f33788,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat] : (? [X2 : nat,X3 : nat,X4 : nat] : (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) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0)) | zero_zero(nat) = X0)),
% 58.13/9.48 inference(ennf_transformation,[],[f25970])).
% 58.13/9.48 tff(f25970,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => ? [X2 : nat,X3 : nat,X4 : nat] : (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) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0)))),
% 58.13/9.48 inference(rectify,[],[f2028])).
% 58.13/9.48 tff(f2028,axiom,(
% 58.13/9.48 ! [X11 : nat,X12 : nat] : (zero_zero(nat) != X11 => ? [X82 : nat,X29 : nat,X52 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X11),X29) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X12),X52)),X82) & dvd_dvd(nat,X82,X12) & dvd_dvd(nat,X82,X11)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2027_bezout__add__strong__nat)).
% 58.13/9.48 tff(f97103,plain,(
% 58.13/9.48 spl5880_3288),
% 58.13/9.48 inference(avatar_split_clause,[],[f73209,f97101])).
% 58.13/9.48 tff(f73209,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : nat] : (iG894($true) = X0 | dvd_dvd(nat,sK3718(X0,X1),X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f58119,f67338])).
% 58.13/9.48 tff(f58119,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK3718(X0,X1),X1) | zero_zero(nat) = X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41602])).
% 58.13/9.48 tff(f97098,plain,(
% 58.13/9.48 spl5880_3287),
% 58.13/9.48 inference(avatar_split_clause,[],[f73068,f97096])).
% 58.13/9.48 tff(f73068,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | sP2026(X1,X0) | ~vEBT_VEBT_valid(X0,X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f57980,f67101])).
% 58.13/9.48 tff(f57980,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2026(X1,X0) | one_one(nat) = X1 | ~vEBT_VEBT_valid(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41508])).
% 58.13/9.48 tff(f97093,plain,(
% 58.13/9.48 spl5880_3286),
% 58.13/9.48 inference(avatar_split_clause,[],[f72262,f97091])).
% 58.13/9.48 tff(f72262,plain,(
% 58.13/9.48 ( ! [X0 : int,X1 : int] : (aa(int,int,bit_concat_bit(iG894($true),X0),X1) = X1) )),
% 58.13/9.48 inference(forward_demodulation,[],[f56706,f67338])).
% 58.13/9.48 tff(f56706,plain,(
% 58.13/9.48 ( ! [X0 : int,X1 : int] : (aa(int,int,bit_concat_bit(zero_zero(nat),X0),X1) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f25259])).
% 58.13/9.48 tff(f25259,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : aa(int,int,bit_concat_bit(zero_zero(nat),X0),X1) = X1),
% 58.13/9.48 inference(rectify,[],[f1899])).
% 58.13/9.48 tff(f1899,axiom,(
% 58.13/9.48 ! [X24 : int,X14 : int] : aa(int,int,bit_concat_bit(zero_zero(nat),X24),X14) = X14),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1898_concat__bit__0)).
% 58.13/9.48 tff(f97088,plain,(
% 58.13/9.48 spl5880_3285),
% 58.13/9.48 inference(avatar_split_clause,[],[f72261,f97086])).
% 58.13/9.48 tff(f72261,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (aa(X0,nat,aTP_Lamp_ld(X0,nat),X1) = iG1228($true)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f56705,f67101])).
% 58.13/9.48 tff(f56705,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(nat) = aa(X0,nat,aTP_Lamp_ld(X0,nat),X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f25258])).
% 58.13/9.48 tff(f25258,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : one_one(nat) = aa(X0,nat,aTP_Lamp_ld(X0,nat),X1)),
% 58.13/9.48 inference(rectify,[],[f9034])).
% 58.13/9.48 tff(f9034,axiom,(
% 58.13/9.48 ! [X0 : $tType,X105 : X0] : one_one(nat) = aa(X0,nat,aTP_Lamp_ld(X0,nat),X105)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9033_ATP_Olambda__853)).
% 58.13/9.48 tff(f97084,plain,(
% 58.13/9.48 spl5880_3284),
% 58.13/9.48 inference(avatar_split_clause,[],[f72260,f97082])).
% 58.13/9.48 tff(f97082,plain,(
% 58.13/9.48 spl5880_3284 <=> ! [X0 : $tType,X1 : X0] : im(imaginary_unit) = aa(X0,real,aTP_Lamp_lk(X0,real),X1)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3284])])).
% 58.13/9.48 tff(f72260,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = aa(X0,real,aTP_Lamp_lk(X0,real),X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f56704,f50004])).
% 58.13/9.48 tff(f56704,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(real) = aa(X0,real,aTP_Lamp_lk(X0,real),X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f25257])).
% 58.13/9.48 tff(f25257,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : one_one(real) = aa(X0,real,aTP_Lamp_lk(X0,real),X1)),
% 58.13/9.48 inference(rectify,[],[f9033])).
% 58.13/9.48 tff(f9033,axiom,(
% 58.13/9.48 ! [X0 : $tType,X105 : X0] : one_one(real) = aa(X0,real,aTP_Lamp_lk(X0,real),X105)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9032_ATP_Olambda__852)).
% 58.13/9.48 tff(f97080,plain,(
% 58.13/9.48 spl5880_3283),
% 58.13/9.48 inference(avatar_split_clause,[],[f71970,f97078])).
% 58.13/9.48 tff(f97078,plain,(
% 58.13/9.48 spl5880_3283 <=> ! [X0 : real] : (im(imaginary_unit) != exp(real,X0) | zero_zero(real) = X0)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3283])])).
% 58.13/9.48 tff(f71970,plain,(
% 58.13/9.48 ( ! [X0 : real] : (im(imaginary_unit) != exp(real,X0) | zero_zero(real) = X0) )),
% 58.13/9.48 inference(forward_demodulation,[],[f56443,f50004])).
% 58.13/9.48 tff(f56443,plain,(
% 58.13/9.48 ( ! [X0 : real] : (zero_zero(real) = X0 | one_one(real) != exp(real,X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f40864])).
% 58.13/9.48 tff(f40864,plain,(
% 58.13/9.48 ! [X0 : real] : ((one_one(real) = exp(real,X0) | zero_zero(real) != X0) & (zero_zero(real) = X0 | one_one(real) != exp(real,X0)))),
% 58.13/9.48 inference(nnf_transformation,[],[f25197])).
% 58.13/9.48 tff(f25197,plain,(
% 58.13/9.48 ! [X0 : real] : (one_one(real) = exp(real,X0) <=> zero_zero(real) = X0)),
% 58.13/9.48 inference(rectify,[],[f2932])).
% 58.13/9.48 tff(f2932,axiom,(
% 58.13/9.48 ! [X9 : real] : (one_one(real) = exp(real,X9) <=> zero_zero(real) = X9)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2931_exp__eq__one__iff)).
% 58.13/9.48 tff(f97075,plain,(
% 58.13/9.48 spl5880_3282),
% 58.13/9.48 inference(avatar_split_clause,[],[f71308,f97073])).
% 58.13/9.48 tff(f71308,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,iG894($true),X2) = X2 | ~semiring_1(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f54842,f67338])).
% 58.13/9.48 tff(f54842,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2 | ~semiring_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31562])).
% 58.13/9.48 tff(f31562,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : fun(X0,X0),X2 : X0] : semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2 | ~semiring_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24815])).
% 58.13/9.48 tff(f24815,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : fun(X0,X0),X2 : X0] : semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2)),
% 58.13/9.48 inference(rectify,[],[f4393])).
% 58.13/9.48 tff(f4393,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_1(X0) => ! [X266 : fun(X0,X0),X25 : X0] : semiri8178284476397505188at_aux(X0,X266,zero_zero(nat),X25) = X25)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4392_of__nat__aux_Osimps_I1_J)).
% 58.13/9.48 tff(f97070,plain,(
% 58.13/9.48 spl5880_3281),
% 58.13/9.48 inference(avatar_split_clause,[],[f71161,f97068])).
% 58.13/9.48 tff(f71161,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,iG894($true)) | ~comm_semiring_1(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f54595,f67338])).
% 58.13/9.48 tff(f54595,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)) | ~comm_semiring_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31312])).
% 58.13/9.48 tff(f31312,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)) | ~comm_semiring_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24634])).
% 58.13/9.48 tff(f24634,plain,(
% 58.13/9.48 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)))),
% 58.13/9.48 inference(rectify,[],[f4119])).
% 58.13/9.48 tff(f4119,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X11 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X11,zero_zero(nat)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4118_pochhammer__0)).
% 58.13/9.48 tff(f97066,plain,(
% 58.13/9.48 spl5880_3280),
% 58.13/9.48 inference(avatar_split_clause,[],[f69884,f97064])).
% 58.13/9.48 tff(f97064,plain,(
% 58.13/9.48 spl5880_3280 <=> ! [X0 : real] : zero_zero(real) = aa(real,real,log(X0),im(imaginary_unit))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3280])])).
% 58.13/9.48 tff(f69884,plain,(
% 58.13/9.48 ( ! [X0 : real] : (zero_zero(real) = aa(real,real,log(X0),im(imaginary_unit))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50252,f50004])).
% 58.13/9.48 tff(f50252,plain,(
% 58.13/9.48 ( ! [X0 : real] : (zero_zero(real) = aa(real,real,log(X0),one_one(real))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22783])).
% 58.13/9.48 tff(f22783,plain,(
% 58.13/9.48 ! [X0 : real] : zero_zero(real) = aa(real,real,log(X0),one_one(real))),
% 58.13/9.48 inference(rectify,[],[f3107])).
% 58.13/9.48 tff(f3107,axiom,(
% 58.13/9.48 ! [X11 : real] : zero_zero(real) = aa(real,real,log(X11),one_one(real))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3106_log__one)).
% 58.13/9.48 tff(f97060,plain,(
% 58.13/9.48 spl5880_3279),
% 58.13/9.48 inference(avatar_split_clause,[],[f69883,f97058])).
% 58.13/9.48 tff(f69883,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (iG1228($true) = aa(nat,nat,binomial(X0),iG894($true))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f69882,f67101])).
% 58.13/9.48 tff(f69882,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),iG894($true))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50249,f67338])).
% 58.13/9.48 tff(f50249,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),zero_zero(nat))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22780])).
% 58.13/9.48 tff(f22780,plain,(
% 58.13/9.48 ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),zero_zero(nat))),
% 58.13/9.48 inference(rectify,[],[f3879])).
% 58.13/9.48 tff(f3879,axiom,(
% 58.13/9.48 ! [X8 : nat] : one_one(nat) = aa(nat,nat,binomial(X8),zero_zero(nat))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3878_binomial__n__0)).
% 58.13/9.48 tff(f97056,plain,(
% 58.13/9.48 spl5880_3278),
% 58.13/9.48 inference(avatar_split_clause,[],[f69782,f97053])).
% 58.13/9.48 tff(f97053,plain,(
% 58.13/9.48 spl5880_3278 <=> filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,iG303(imaginary_unit)),at_top(real))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3278])])).
% 58.13/9.48 tff(f69782,plain,(
% 58.13/9.48 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,iG303(imaginary_unit)),at_top(real))),
% 58.13/9.48 inference(forward_demodulation,[],[f50092,f65754])).
% 58.13/9.48 tff(f50092,plain,(
% 58.13/9.48 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real))),
% 58.13/9.48 inference(cnf_transformation,[],[f6448])).
% 58.13/9.48 tff(f6448,axiom,(
% 58.13/9.48 filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6447_tendsto__arctan__at__top)).
% 58.13/9.48 tff(f97050,plain,(
% 58.13/9.48 spl5880_3277),
% 58.13/9.48 inference(avatar_split_clause,[],[f69746,f97047])).
% 58.13/9.48 tff(f69746,plain,(
% 58.13/9.48 one_one(int) = aa(nat,int,semiring_1_of_nat(int),iG1228($true))),
% 58.13/9.48 inference(forward_demodulation,[],[f50046,f67101])).
% 58.13/9.48 tff(f50046,plain,(
% 58.13/9.48 one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 58.13/9.48 inference(cnf_transformation,[],[f3173])).
% 58.13/9.48 tff(f3173,axiom,(
% 58.13/9.48 one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3172_int__ops_I2_J)).
% 58.13/9.48 tff(f97044,plain,(
% 58.13/9.48 spl5880_3276),
% 58.13/9.48 inference(avatar_split_clause,[],[f69647,f97042])).
% 58.13/9.48 tff(f69647,plain,(
% 58.13/9.48 ( ! [X6 : $tType,X7 : X6,X5 : X6] : ((bG466(X6,X7) = iG467(X6,iG894($true),X5,X7))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67625,f67338])).
% 58.13/9.48 tff(f67625,plain,(
% 58.13/9.48 ( ! [X6 : $tType,X7 : X6,X5 : X6] : ((bG466(X6,X7) = iG467(X6,zero_zero(nat),X5,X7))) )),
% 58.13/9.48 inference(equality_resolution,[],[f48831])).
% 58.13/9.48 tff(f48831,plain,(
% 58.13/9.48 ( ! [X6 : $tType,X7 : X6,X4 : nat,X5 : X6] : ((bG466(X6,X7) = iG467(X6,X4,X5,X7)) | zero_zero(nat) != X4) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27986])).
% 58.13/9.48 tff(f27986,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG467(X2,X0,X1,X3)) | zero_zero(nat) = X0) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : ((bG466(X6,X7) = iG467(X6,X4,X5,X7)) | zero_zero(nat) != X4)),
% 58.13/9.48 inference(ennf_transformation,[],[f22406])).
% 58.13/9.48 tff(f22406,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : (zero_zero(nat) != X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG467(X2,X0,X1,X3))) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : (zero_zero(nat) = X4 => (bG466(X6,X7) = iG467(X6,X4,X5,X7)))),
% 58.13/9.48 inference(flattening,[],[f22405])).
% 58.13/9.48 tff(f22405,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : (~zero_zero(nat) = X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG467(X2,X0,X1,X3))) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : (zero_zero(nat) = X4 => (bG466(X6,X7) = iG467(X6,X4,X5,X7)))),
% 58.13/9.48 inference(rectify,[],[f11391])).
% 58.13/9.48 tff(f11391,plain,(
% 58.13/9.48 ! [X3 : nat,X2 : X0,X0 : $tType,X1 : X0] : (~zero_zero(nat) = X3 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),X3) = iG467(X0,X3,X2,X1))) & ! [X3 : nat,X2 : X0,X0 : $tType,X1 : X0] : (zero_zero(nat) = X3 => (bG466(X0,X1) = iG467(X0,X3,X2,X1)))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG467])])).
% 58.13/9.48 tff(f97039,plain,(
% 58.13/9.48 spl5880_3275),
% 58.13/9.48 inference(avatar_split_clause,[],[f69631,f97037])).
% 58.13/9.48 tff(f69631,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG514(X0,X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f48740,f67338])).
% 58.13/9.48 tff(f48740,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG514(X0,X1) | zero_zero(nat) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27967])).
% 58.13/9.48 tff(f27967,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG514(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG514(X2,X3) | zero_zero(nat) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22342])).
% 58.13/9.48 tff(f22342,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => zero_zero(X0) = iG514(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG514(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22341])).
% 58.13/9.48 tff(f22341,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG514(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG514(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f12624])).
% 58.13/9.48 tff(f97034,plain,(
% 58.13/9.48 spl5880_3274),
% 58.13/9.48 inference(avatar_split_clause,[],[f69619,f97032])).
% 58.13/9.48 tff(f69619,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : nat] : (iG894($true) = X1 | zero_zero(X0) = iG548(X0,X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f48674,f67338])).
% 58.13/9.48 tff(f48674,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG548(X0,X1) | zero_zero(nat) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27951])).
% 58.13/9.48 tff(f27951,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG548(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG548(X2,X3) | zero_zero(nat) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22294])).
% 58.13/9.48 tff(f22294,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => zero_zero(X0) = iG548(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG548(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22293])).
% 58.13/9.48 tff(f22293,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG548(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG548(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f12754])).
% 58.13/9.48 tff(f12754,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG548(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG548(X0,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG548])])).
% 58.13/9.48 tff(f97029,plain,(
% 58.13/9.48 spl5880_3273),
% 58.13/9.48 inference(avatar_split_clause,[],[f69594,f97027])).
% 58.13/9.48 tff(f69594,plain,(
% 58.13/9.48 ( ! [X3 : real] : (zero_zero(real) = aa(real,real,root(iG894($true)),X3)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67500,f67338])).
% 58.13/9.48 tff(f67500,plain,(
% 58.13/9.48 ( ! [X3 : real] : (zero_zero(real) = aa(real,real,root(zero_zero(nat)),X3)) )),
% 58.13/9.48 inference(equality_resolution,[],[f65639])).
% 58.13/9.48 tff(f65639,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : real] : (zero_zero(real) = aa(real,real,root(X2),X3) | zero_zero(nat) != X2) )),
% 58.13/9.48 inference(definition_unfolding,[],[f48460,f57194])).
% 58.13/9.48 tff(f57194,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : real] : (aa(real,real,root(X0),X1) = iG652(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f14649])).
% 58.13/9.48 tff(f14649,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : aa(real,real,root(X0),X1) = iG652(X0,X1)),
% 58.13/9.48 inference(fool_elimination,[],[f14647,f14648])).
% 58.13/9.48 tff(f14648,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : (~zero_zero(nat) = X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X0),X1) = iG652(X0,X1)) & ! [X0 : nat,X1 : real] : (zero_zero(nat) = X0 => zero_zero(real) = iG652(X0,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG652])])).
% 58.13/9.48 tff(f14647,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : aa(real,real,root(X0),X1) = $ite(zero_zero(nat) = X0, zero_zero(real),the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X0),X1))),
% 58.13/9.48 inference(rectify,[],[f5996])).
% 58.13/9.48 tff(f5996,axiom,(
% 58.13/9.48 ! [X8 : nat,X9 : real] : aa(real,real,root(X8),X9) = $ite(zero_zero(nat) = X8, zero_zero(real),the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X8),X9))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5995_root__def)).
% 58.13/9.48 tff(f48460,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : real] : (zero_zero(real) = iG652(X2,X3) | zero_zero(nat) != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27890])).
% 58.13/9.48 tff(f27890,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : (the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X0),X1) = iG652(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : real] : (zero_zero(real) = iG652(X2,X3) | zero_zero(nat) != X2)),
% 58.13/9.48 inference(ennf_transformation,[],[f22140])).
% 58.13/9.48 tff(f22140,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : (zero_zero(nat) != X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X0),X1) = iG652(X0,X1)) & ! [X2 : nat,X3 : real] : (zero_zero(nat) = X2 => zero_zero(real) = iG652(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22139])).
% 58.13/9.48 tff(f22139,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : real] : (~zero_zero(nat) = X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_no(nat,fun(real,real),X0),X1) = iG652(X0,X1)) & ! [X2 : nat,X3 : real] : (zero_zero(nat) = X2 => zero_zero(real) = iG652(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f14648])).
% 58.13/9.48 tff(f97020,plain,(
% 58.13/9.48 spl5880_3272 | ~spl5880_1227 | ~spl5880_3271),
% 58.13/9.48 inference(avatar_split_clause,[],[f97016,f97013,f84483,f97018])).
% 58.13/9.48 tff(f97018,plain,(
% 58.13/9.48 spl5880_3272 <=> ! [X3 : $o] : iG1410($true) = lG1842(vEBT_Leaf(bG718(X3),$true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3272])])).
% 58.13/9.48 tff(f84483,plain,(
% 58.13/9.48 spl5880_1227 <=> ($true = bG719($true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_1227])])).
% 58.13/9.48 tff(f97013,plain,(
% 58.13/9.48 spl5880_3271 <=> ! [X3 : $o] : iG1410($true) = lG1842(vEBT_Leaf(bG718(X3),bG719($true)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3271])])).
% 58.13/9.48 tff(f97016,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1410($true) = lG1842(vEBT_Leaf(bG718(X3),$true))) ) | (~spl5880_1227 | ~spl5880_3271)),
% 58.13/9.48 inference(forward_demodulation,[],[f97014,f84485])).
% 58.13/9.48 tff(f84485,plain,(
% 58.13/9.48 ($true = bG719($true)) | ~spl5880_1227),
% 58.13/9.48 inference(avatar_component_clause,[],[f84483])).
% 58.13/9.48 tff(f97014,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1410($true) = lG1842(vEBT_Leaf(bG718(X3),bG719($true)))) ) | ~spl5880_3271),
% 58.13/9.48 inference(avatar_component_clause,[],[f97013])).
% 58.13/9.48 tff(f97015,plain,(
% 58.13/9.48 spl5880_3271),
% 58.13/9.48 inference(avatar_split_clause,[],[f69525,f97013])).
% 58.13/9.48 tff(f69525,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1410($true) = lG1842(vEBT_Leaf(bG718(X3),bG719($true)))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67463,f66992])).
% 58.13/9.48 tff(f67463,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = lG1842(vEBT_Leaf(bG718(X3),bG719($true)))) )),
% 58.13/9.48 inference(equality_resolution,[],[f65570])).
% 58.13/9.48 tff(f65570,plain,(
% 58.13/9.48 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = lG1842(vEBT_Leaf(bG718(X3),bG719(X2))) | ($true != X2)) )),
% 58.13/9.48 inference(definition_unfolding,[],[f48315,f65040])).
% 58.13/9.48 tff(f48315,plain,(
% 58.13/9.48 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG721(X2,X3) | ($true != X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27841])).
% 58.13/9.48 tff(f97007,plain,(
% 58.13/9.48 spl5880_3270 | ~spl5880_1226 | ~spl5880_3269),
% 58.13/9.48 inference(avatar_split_clause,[],[f97003,f97000,f84478,f97005])).
% 58.13/9.48 tff(f97005,plain,(
% 58.13/9.48 spl5880_3270 <=> ! [X3 : $o] : iG1436($true) = vEBT_vebt_mint(vEBT_Leaf($true,bG723(X3)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3270])])).
% 58.13/9.48 tff(f84478,plain,(
% 58.13/9.48 spl5880_1226 <=> ($true = bG722($true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_1226])])).
% 58.13/9.48 tff(f97000,plain,(
% 58.13/9.48 spl5880_3269 <=> ! [X3 : $o] : iG1436($true) = vEBT_vebt_mint(vEBT_Leaf(bG722($true),bG723(X3)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3269])])).
% 58.13/9.48 tff(f97003,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1436($true) = vEBT_vebt_mint(vEBT_Leaf($true,bG723(X3)))) ) | (~spl5880_1226 | ~spl5880_3269)),
% 58.13/9.48 inference(forward_demodulation,[],[f97001,f84480])).
% 58.13/9.48 tff(f84480,plain,(
% 58.13/9.48 ($true = bG722($true)) | ~spl5880_1226),
% 58.13/9.48 inference(avatar_component_clause,[],[f84478])).
% 58.13/9.48 tff(f97001,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1436($true) = vEBT_vebt_mint(vEBT_Leaf(bG722($true),bG723(X3)))) ) | ~spl5880_3269),
% 58.13/9.48 inference(avatar_component_clause,[],[f97000])).
% 58.13/9.48 tff(f97002,plain,(
% 58.13/9.48 spl5880_3269),
% 58.13/9.48 inference(avatar_split_clause,[],[f69523,f97000])).
% 58.13/9.48 tff(f69523,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (iG1436($true) = vEBT_vebt_mint(vEBT_Leaf(bG722($true),bG723(X3)))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67459,f66974])).
% 58.13/9.48 tff(f67459,plain,(
% 58.13/9.48 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = vEBT_vebt_mint(vEBT_Leaf(bG722($true),bG723(X3)))) )),
% 58.13/9.48 inference(equality_resolution,[],[f65568])).
% 58.13/9.48 tff(f65568,plain,(
% 58.13/9.48 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = vEBT_vebt_mint(vEBT_Leaf(bG722(X2),bG723(X3))) | ($true != X2)) )),
% 58.13/9.48 inference(definition_unfolding,[],[f48307,f57239])).
% 58.13/9.48 tff(f48307,plain,(
% 58.13/9.48 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG725(X2,X3) | ($true != X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27839])).
% 58.13/9.48 tff(f96997,plain,(
% 58.13/9.48 spl5880_3268),
% 58.13/9.48 inference(avatar_split_clause,[],[f69451,f96995])).
% 58.13/9.48 tff(f69451,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(iG1228($true),X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67218,f67101])).
% 58.13/9.48 tff(f67218,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(one_one(nat),X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47649])).
% 58.13/9.48 tff(f47649,plain,(
% 58.13/9.48 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1029(X5),$true) = iG1032(X3,X4,X5) | one_one(nat) != X3) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27714])).
% 58.13/9.48 tff(f96992,plain,(
% 58.13/9.48 spl5880_3267),
% 58.13/9.48 inference(avatar_split_clause,[],[f69424,f96990])).
% 58.13/9.48 tff(f69424,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1093(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67180,f67101])).
% 58.13/9.48 tff(f67180,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47531])).
% 58.13/9.48 tff(f47531,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27681])).
% 58.13/9.48 tff(f27681,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1091(X7,X8,X10)),vEBT_VEBT_low(lG1089(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1092(X10,X8,X7,X9,X11)) = iG1093(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 58.13/9.48 inference(flattening,[],[f27680])).
% 58.13/9.48 tff(f27680,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1091(X7,X8,X10)),vEBT_VEBT_low(lG1089(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1092(X10,X8,X7,X9,X11)) = iG1093(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f21514])).
% 58.13/9.48 tff(f21514,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1093(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1091(X7,X8,X10)),vEBT_VEBT_low(lG1089(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1092(X10,X8,X7,X9,X11)) = iG1093(X6,X7,X8,X9,X10,X11))),
% 58.13/9.48 inference(rectify,[],[f17419])).
% 58.13/9.48 tff(f17419,plain,(
% 58.13/9.48 ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => one_one(nat) = iG1093(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1091(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1091(X1,X14,X16)),vEBT_VEBT_low(lG1089(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1092(X16,X14,X1,X17,X18)) = iG1093(X15,X1,X14,X17,X16,X18))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1093])])).
% 58.13/9.48 tff(f96987,plain,(
% 58.13/9.48 spl5880_3266),
% 58.13/9.48 inference(avatar_split_clause,[],[f69423,f96985])).
% 58.13/9.48 tff(f69423,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1093(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67179,f67101])).
% 58.13/9.48 tff(f67179,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47532])).
% 58.13/9.48 tff(f47532,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1093(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27681])).
% 58.13/9.48 tff(f96982,plain,(
% 58.13/9.48 spl5880_3265),
% 58.13/9.48 inference(avatar_split_clause,[],[f69402,f96980])).
% 58.13/9.48 tff(f69402,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1124(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67166,f67101])).
% 58.13/9.48 tff(f67166,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47474])).
% 58.13/9.48 tff(f47474,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27668])).
% 58.13/9.48 tff(f27668,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1122(X7,X8,X10)),vEBT_VEBT_low(lG1120(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1123(X10,X8,X7,X9,X11)) = iG1124(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 58.13/9.48 inference(flattening,[],[f27667])).
% 58.13/9.48 tff(f27667,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1122(X7,X8,X10)),vEBT_VEBT_low(lG1120(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1123(X10,X8,X7,X9,X11)) = iG1124(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f21476])).
% 58.13/9.48 tff(f21476,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1124(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1122(X7,X8,X10)),vEBT_VEBT_low(lG1120(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1123(X10,X8,X7,X9,X11)) = iG1124(X6,X7,X8,X9,X10,X11))),
% 58.13/9.48 inference(rectify,[],[f17456])).
% 58.13/9.48 tff(f17456,plain,(
% 58.13/9.48 ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => one_one(nat) = iG1124(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1122(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t2(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1122(X1,X14,X16)),vEBT_VEBT_low(lG1120(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1123(X16,X14,X1,X17,X18)) = iG1124(X15,X1,X14,X17,X16,X18))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1124])])).
% 58.13/9.48 tff(f96977,plain,(
% 58.13/9.48 spl5880_3264),
% 58.13/9.48 inference(avatar_split_clause,[],[f69401,f96975])).
% 58.13/9.48 tff(f69401,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1124(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67165,f67101])).
% 58.13/9.48 tff(f67165,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47475])).
% 58.13/9.48 tff(f47475,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1124(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27668])).
% 58.13/9.48 tff(f96972,plain,(
% 58.13/9.48 spl5880_3263),
% 58.13/9.48 inference(avatar_split_clause,[],[f69378,f96970])).
% 58.13/9.48 tff(f69378,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1162(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67145,f67101])).
% 58.13/9.48 tff(f67145,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47403])).
% 58.13/9.48 tff(f47403,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27654])).
% 58.13/9.48 tff(f27654,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10)),vEBT_VEBT_low(lG1158(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10))))),iG1161(X10,X8,X7,X9,X11)) = iG1162(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 58.13/9.48 inference(flattening,[],[f27653])).
% 58.13/9.48 tff(f27653,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10)),vEBT_VEBT_low(lG1158(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10))))),iG1161(X10,X8,X7,X9,X11)) = iG1162(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f21430])).
% 58.13/9.48 tff(f21430,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1162(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10)),vEBT_VEBT_low(lG1158(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1160(X7,X8,X10))))),iG1161(X10,X8,X7,X9,X11)) = iG1162(X6,X7,X8,X9,X10,X11))),
% 58.13/9.48 inference(rectify,[],[f17500])).
% 58.13/9.48 tff(f17500,plain,(
% 58.13/9.48 ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => one_one(nat) = iG1162(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1160(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1160(X1,X14,X16)),vEBT_VEBT_low(lG1158(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1160(X1,X14,X16))))),iG1161(X16,X14,X1,X17,X18)) = iG1162(X15,X1,X14,X17,X16,X18))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1162])])).
% 58.13/9.48 tff(f96967,plain,(
% 58.13/9.48 spl5880_3262),
% 58.13/9.48 inference(avatar_split_clause,[],[f69377,f96965])).
% 58.13/9.48 tff(f69377,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1162(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67144,f67101])).
% 58.13/9.48 tff(f67144,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47404])).
% 58.13/9.48 tff(f47404,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1162(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27654])).
% 58.13/9.48 tff(f96962,plain,(
% 58.13/9.48 spl5880_3261),
% 58.13/9.48 inference(avatar_split_clause,[],[f69360,f96960])).
% 58.13/9.48 tff(f69360,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1199(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67125,f67101])).
% 58.13/9.48 tff(f67125,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X0,X2,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47334])).
% 58.13/9.48 tff(f47334,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27639])).
% 58.13/9.48 tff(f27639,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10)),vEBT_VEBT_low(lG1195(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10))))),iG1198(X10,X8,X7,X9,X11)) = iG1199(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 58.13/9.48 inference(flattening,[],[f27638])).
% 58.13/9.48 tff(f27638,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10)),vEBT_VEBT_low(lG1195(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10))))),iG1198(X10,X8,X7,X9,X11)) = iG1199(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f21384])).
% 58.13/9.48 tff(f21384,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1199(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10)),vEBT_VEBT_low(lG1195(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1197(X7,X8,X10))))),iG1198(X10,X8,X7,X9,X11)) = iG1199(X6,X7,X8,X9,X10,X11))),
% 58.13/9.48 inference(rectify,[],[f17543])).
% 58.13/9.48 tff(f17543,plain,(
% 58.13/9.48 ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => one_one(nat) = iG1199(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1197(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1197(X1,X14,X16)),vEBT_VEBT_low(lG1195(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG1197(X1,X14,X16))))),iG1198(X16,X14,X1,X17,X18)) = iG1199(X15,X1,X14,X17,X16,X18))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1199])])).
% 58.13/9.48 tff(f96957,plain,(
% 58.13/9.48 spl5880_3260),
% 58.13/9.48 inference(avatar_split_clause,[],[f69359,f96955])).
% 58.13/9.48 tff(f69359,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (iG1228($true) = iG1199(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f67124,f67101])).
% 58.13/9.48 tff(f67124,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47335])).
% 58.13/9.48 tff(f47335,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1199(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27639])).
% 58.13/9.48 tff(f96953,plain,(
% 58.13/9.48 spl5880_3259),
% 58.13/9.48 inference(avatar_split_clause,[],[f68838,f96951])).
% 58.13/9.48 tff(f96951,plain,(
% 58.13/9.48 spl5880_3259 <=> ! [X2 : $tType,X0 : list(X2),X3 : X2,X1 : fun(X2,fun(X2,$o))] : (sorted_wrt(X2,X1,X0) | ~sP2416(X2,X0,X1,X3,$true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3259])])).
% 58.13/9.48 tff(f68838,plain,(
% 58.13/9.48 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,fun(X2,$o))] : (sorted_wrt(X2,X1,X0) | ~sP2416(X2,X0,X1,X3,$true)) )),
% 58.13/9.48 inference(equality_resolution,[],[f63065])).
% 58.13/9.48 tff(f63065,plain,(
% 58.13/9.48 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X4 : $o] : (sorted_wrt(X2,X1,X0) | ($true != X4) | ~sP2416(X2,X0,X1,X3,X4)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44929])).
% 58.13/9.48 tff(f44929,plain,(
% 58.13/9.48 ! [X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X2 : $tType,X3 : X2,X4 : $o] : (((($true = X4) | ~sorted_wrt(X2,X1,X0) | (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),sK5378(X2,X0,X1,X3))) & member(X2,sK5378(X2,X0,X1,X3),aa(list(X2),set(X2),set2(X2),X0)))) & ((sorted_wrt(X2,X1,X0) & ! [X6 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X6)) | ~member(X2,X6,aa(list(X2),set(X2),set2(X2),X0)))) | ($true != X4))) | ~sP2416(X2,X0,X1,X3,X4))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5378])],[f44927,f44928])).
% 58.13/9.48 tff(f44928,plain,(
% 58.13/9.48 ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X3 : X2] : (? [X5 : X2] : (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X5)) & member(X2,X5,aa(list(X2),set(X2),set2(X2),X0))) => (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),sK5378(X2,X0,X1,X3))) & member(X2,sK5378(X2,X0,X1,X3),aa(list(X2),set(X2),set2(X2),X0))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f44927,plain,(
% 58.13/9.48 ! [X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X2 : $tType,X3 : X2,X4 : $o] : (((($true = X4) | ~sorted_wrt(X2,X1,X0) | ? [X5 : X2] : (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X5)) & member(X2,X5,aa(list(X2),set(X2),set2(X2),X0)))) & ((sorted_wrt(X2,X1,X0) & ! [X6 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X6)) | ~member(X2,X6,aa(list(X2),set(X2),set2(X2),X0)))) | ($true != X4))) | ~sP2416(X2,X0,X1,X3,X4))),
% 58.13/9.48 inference(rectify,[],[f44926])).
% 58.13/9.48 tff(f44926,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : (((($true = X3) | ~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) & ((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) | ($true != X3))) | ~sP2416(X0,X5,X1,X4,X3))),
% 58.13/9.48 inference(flattening,[],[f44925])).
% 58.13/9.48 tff(f44925,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : (((($true = X3) | (~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))))) & ((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) | ($true != X3))) | ~sP2416(X0,X5,X1,X4,X3))),
% 58.13/9.48 inference(nnf_transformation,[],[f37784])).
% 58.13/9.48 tff(f37784,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : ((($true = X3) <=> (sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))))) | ~sP2416(X0,X5,X1,X4,X3))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2416])])).
% 58.13/9.48 tff(f96949,plain,(
% 58.13/9.48 spl5880_3258),
% 58.13/9.48 inference(avatar_split_clause,[],[f68836,f96947])).
% 58.13/9.48 tff(f96947,plain,(
% 58.13/9.48 spl5880_3258 <=> ! [X2 : $tType,X0 : list(X2),X3 : X2,X1 : fun(X2,fun(X2,$o))] : (sorted_wrt(X2,X1,X0) | ~sP2414(X2,X0,X1,X3,$true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3258])])).
% 58.13/9.48 tff(f68836,plain,(
% 58.13/9.48 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,fun(X2,$o))] : (sorted_wrt(X2,X1,X0) | ~sP2414(X2,X0,X1,X3,$true)) )),
% 58.13/9.48 inference(equality_resolution,[],[f63053])).
% 58.13/9.48 tff(f63053,plain,(
% 58.13/9.48 ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X4 : $o] : (sorted_wrt(X2,X1,X0) | ($true != X4) | ~sP2414(X2,X0,X1,X3,X4)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44916])).
% 58.13/9.48 tff(f44916,plain,(
% 58.13/9.48 ! [X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X2 : $tType,X3 : X2,X4 : $o] : ((((sorted_wrt(X2,X1,X0) & ! [X5 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X5)) | ~member(X2,X5,aa(list(X2),set(X2),set2(X2),X0)))) | ($true != X4)) & (~sorted_wrt(X2,X1,X0) | (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),sK5373(X2,X0,X1,X3))) & member(X2,sK5373(X2,X0,X1,X3),aa(list(X2),set(X2),set2(X2),X0))) | ($true = X4))) | ~sP2414(X2,X0,X1,X3,X4))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5373])],[f44914,f44915])).
% 58.13/9.48 tff(f44915,plain,(
% 58.13/9.48 ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X3 : X2] : (? [X6 : X2] : (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X6)) & member(X2,X6,aa(list(X2),set(X2),set2(X2),X0))) => (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),sK5373(X2,X0,X1,X3))) & member(X2,sK5373(X2,X0,X1,X3),aa(list(X2),set(X2),set2(X2),X0))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f44914,plain,(
% 58.13/9.48 ! [X0 : list(X2),X1 : fun(X2,fun(X2,$o)),X2 : $tType,X3 : X2,X4 : $o] : ((((sorted_wrt(X2,X1,X0) & ! [X5 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X5)) | ~member(X2,X5,aa(list(X2),set(X2),set2(X2),X0)))) | ($true != X4)) & (~sorted_wrt(X2,X1,X0) | ? [X6 : X2] : (($true != aa(X2,$o,aa(X2,fun(X2,$o),X1,X3),X6)) & member(X2,X6,aa(list(X2),set(X2),set2(X2),X0))) | ($true = X4))) | ~sP2414(X2,X0,X1,X3,X4))),
% 58.13/9.48 inference(rectify,[],[f44913])).
% 58.13/9.48 tff(f44913,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : ((((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) | ($true != X3)) & (~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))) | ($true = X3))) | ~sP2414(X0,X5,X1,X4,X3))),
% 58.13/9.48 inference(flattening,[],[f44912])).
% 58.13/9.48 tff(f44912,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : ((((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) | ($true != X3)) & ((~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5)))) | ($true = X3))) | ~sP2414(X0,X5,X1,X4,X3))),
% 58.13/9.48 inference(nnf_transformation,[],[f37781])).
% 58.13/9.48 tff(f37781,plain,(
% 58.13/9.48 ! [X5 : list(X0),X1 : fun(X0,fun(X0,$o)),X0 : $tType,X4 : X0,X3 : $o] : ((($true = X3) <~> (~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X6)) & member(X0,X6,aa(list(X0),set(X0),set2(X0),X5))))) | ~sP2414(X0,X5,X1,X4,X3))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2414])])).
% 58.13/9.48 tff(f96945,plain,(
% 58.13/9.48 spl5880_3257),
% 58.13/9.48 inference(avatar_split_clause,[],[f68620,f96943])).
% 58.13/9.48 tff(f96943,plain,(
% 58.13/9.48 spl5880_3257 <=> ! [X3 : nat,X4 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (($true = X5) | ~sP2346(X4,X1,X2,X3,X4,X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3257])])).
% 58.13/9.48 tff(f68620,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | ~sP2346(X4,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f61457])).
% 58.13/9.48 tff(f61457,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | X0 != X4 | ~sP2346(X0,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43980])).
% 58.13/9.48 tff(f96941,plain,(
% 58.13/9.48 spl5880_3256),
% 58.13/9.48 inference(avatar_split_clause,[],[f68619,f96939])).
% 58.13/9.48 tff(f96939,plain,(
% 58.13/9.48 spl5880_3256 <=> ! [X3 : nat,X4 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (($true = X5) | ~sP2346(X3,X1,X2,X3,X4,X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3256])])).
% 58.13/9.48 tff(f68619,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | ~sP2346(X3,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f61458])).
% 58.13/9.48 tff(f61458,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | X0 != X3 | ~sP2346(X0,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43980])).
% 58.13/9.48 tff(f96937,plain,(
% 58.13/9.48 spl5880_3255),
% 58.13/9.48 inference(avatar_split_clause,[],[f68614,f96935])).
% 58.13/9.48 tff(f96935,plain,(
% 58.13/9.48 spl5880_3255 <=> ! [X3 : nat,X4 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (($true = X5) | ~sP2340(X4,X1,X2,X3,X4,X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3255])])).
% 58.13/9.48 tff(f68614,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | ~sP2340(X4,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f61433])).
% 58.13/9.48 tff(f61433,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (X0 != X4 | ($true = X5) | ~sP2340(X0,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43952])).
% 58.13/9.48 tff(f96933,plain,(
% 58.13/9.48 spl5880_3254),
% 58.13/9.48 inference(avatar_split_clause,[],[f68613,f96931])).
% 58.13/9.48 tff(f96931,plain,(
% 58.13/9.48 spl5880_3254 <=> ! [X3 : nat,X4 : nat,X5 : $o,X2 : list(vEBT_VEBT),X1 : nat] : (($true = X5) | ~sP2340(X3,X1,X2,X3,X4,X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3254])])).
% 58.13/9.48 tff(f68613,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat,X4 : nat,X5 : $o] : (($true = X5) | ~sP2340(X3,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f61434])).
% 58.13/9.48 tff(f61434,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat,X5 : $o] : (X0 != X3 | ($true = X5) | ~sP2340(X0,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43952])).
% 58.13/9.48 tff(f96929,plain,(
% 58.13/9.48 spl5880_3253),
% 58.13/9.48 inference(avatar_split_clause,[],[f67820,f96927])).
% 58.13/9.48 tff(f96927,plain,(
% 58.13/9.48 spl5880_3253 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (iG438(X0,X2,divide_divide(X0,X1,X2),X1) | ~division_ring(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3253])])).
% 58.13/9.48 tff(f67820,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (iG438(X0,X2,divide_divide(X0,X1,X2),X1) | ~division_ring(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f52684])).
% 58.13/9.48 tff(f52684,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (iG438(X0,X2,X3,X1) | divide_divide(X0,X1,X2) != X3 | ~division_ring(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39324])).
% 58.13/9.48 tff(f96925,plain,(
% 58.13/9.48 spl5880_3252),
% 58.13/9.48 inference(avatar_split_clause,[],[f67819,f96923])).
% 58.13/9.48 tff(f96923,plain,(
% 58.13/9.48 spl5880_3252 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (iG437(X0,X3,divide_divide(X0,X2,X3),X2) | ~division_ring(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3252])])).
% 58.13/9.48 tff(f67819,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (iG437(X0,X3,divide_divide(X0,X2,X3),X2) | ~division_ring(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f52682])).
% 58.13/9.48 tff(f52682,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (iG437(X0,X3,X1,X2) | divide_divide(X0,X2,X3) != X1 | ~division_ring(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39323])).
% 58.13/9.48 tff(f96921,plain,(
% 58.13/9.48 spl5880_3251),
% 58.13/9.48 inference(avatar_split_clause,[],[f67798,f96919])).
% 58.13/9.48 tff(f96919,plain,(
% 58.13/9.48 spl5880_3251 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X2) | ~field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3251])])).
% 58.13/9.48 tff(f67798,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X2) | ~field(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f52468])).
% 58.13/9.48 tff(f52468,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | zero_zero(X0) != X1 | ~field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39302])).
% 58.13/9.48 tff(f96917,plain,(
% 58.13/9.48 spl5880_3250),
% 58.13/9.48 inference(avatar_split_clause,[],[f67797,f96915])).
% 58.13/9.48 tff(f96915,plain,(
% 58.13/9.48 spl5880_3250 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3250])])).
% 58.13/9.48 tff(f67797,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f52469])).
% 58.13/9.48 tff(f52469,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | zero_zero(X0) != X2 | ~field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39302])).
% 58.13/9.48 tff(f96913,plain,(
% 58.13/9.48 spl5880_3249),
% 58.13/9.48 inference(avatar_split_clause,[],[f67794,f96911])).
% 58.13/9.48 tff(f96911,plain,(
% 58.13/9.48 spl5880_3249 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3249])])).
% 58.13/9.48 tff(f67794,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f52461])).
% 58.13/9.48 tff(f52461,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39298])).
% 58.13/9.48 tff(f96909,plain,(
% 58.13/9.48 spl5880_3248),
% 58.13/9.48 inference(avatar_split_clause,[],[f67750,f96907])).
% 58.13/9.48 tff(f96907,plain,(
% 58.13/9.48 spl5880_3248 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~linordered_field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3248])])).
% 58.13/9.48 tff(f67750,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~linordered_field(X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f51482])).
% 58.13/9.48 tff(f51482,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f38978])).
% 58.13/9.48 tff(f96905,plain,(
% 58.13/9.48 spl5880_3247),
% 58.13/9.48 inference(avatar_split_clause,[],[f67703,f96902])).
% 58.13/9.48 tff(f96902,plain,(
% 58.13/9.48 spl5880_3247 <=> zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),zero_zero(code_integer))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3247])])).
% 58.13/9.48 tff(f67703,plain,(
% 58.13/9.48 zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),zero_zero(code_integer))),
% 58.13/9.48 inference(equality_resolution,[],[f65692])).
% 58.13/9.48 tff(f65692,plain,(
% 58.13/9.48 ( ! [X1 : code_integer] : (zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) | zero_zero(code_integer) != X1) )),
% 58.13/9.48 inference(definition_unfolding,[],[f49160,f50616])).
% 58.13/9.48 tff(f49160,plain,(
% 58.13/9.48 ( ! [X1 : code_integer] : (zero_zero(code_integer) = iG314(X1) | zero_zero(code_integer) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28097])).
% 58.13/9.48 tff(f96900,plain,(
% 58.13/9.48 spl5880_3246),
% 58.13/9.48 inference(avatar_split_clause,[],[f67702,f96897])).
% 58.13/9.48 tff(f96897,plain,(
% 58.13/9.48 spl5880_3246 <=> zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),zero_zero(rat))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3246])])).
% 58.13/9.48 tff(f67702,plain,(
% 58.13/9.48 zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),zero_zero(rat))),
% 58.13/9.48 inference(equality_resolution,[],[f65690])).
% 58.13/9.48 tff(f65690,plain,(
% 58.13/9.48 ( ! [X1 : rat] : (zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),X1) | zero_zero(rat) != X1) )),
% 58.13/9.48 inference(definition_unfolding,[],[f49156,f50617])).
% 58.13/9.48 tff(f49156,plain,(
% 58.13/9.48 ( ! [X1 : rat] : (zero_zero(rat) = iG316(X1) | zero_zero(rat) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28095])).
% 58.13/9.48 tff(f96895,plain,(
% 58.13/9.48 spl5880_3245),
% 58.13/9.48 inference(avatar_split_clause,[],[f67701,f96892])).
% 58.13/9.48 tff(f96892,plain,(
% 58.13/9.48 spl5880_3245 <=> zero_zero(int) = aa(int,int,sgn_sgn(int),zero_zero(int))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3245])])).
% 58.13/9.48 tff(f67701,plain,(
% 58.13/9.48 zero_zero(int) = aa(int,int,sgn_sgn(int),zero_zero(int))),
% 58.13/9.48 inference(equality_resolution,[],[f65688])).
% 58.13/9.48 tff(f65688,plain,(
% 58.13/9.48 ( ! [X1 : int] : (zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) != X1) )),
% 58.13/9.48 inference(definition_unfolding,[],[f49152,f50618])).
% 58.13/9.48 tff(f49152,plain,(
% 58.13/9.48 ( ! [X1 : int] : (zero_zero(int) = iG318(X1) | zero_zero(int) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28093])).
% 58.13/9.48 tff(f96890,plain,(
% 58.13/9.48 spl5880_3244),
% 58.13/9.48 inference(avatar_split_clause,[],[f67700,f96887])).
% 58.13/9.48 tff(f96887,plain,(
% 58.13/9.48 spl5880_3244 <=> zero_zero(real) = aa(real,real,sgn_sgn(real),zero_zero(real))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3244])])).
% 58.13/9.48 tff(f67700,plain,(
% 58.13/9.48 zero_zero(real) = aa(real,real,sgn_sgn(real),zero_zero(real))),
% 58.13/9.48 inference(equality_resolution,[],[f65686])).
% 58.13/9.48 tff(f65686,plain,(
% 58.13/9.48 ( ! [X1 : real] : (zero_zero(real) = aa(real,real,sgn_sgn(real),X1) | zero_zero(real) != X1) )),
% 58.13/9.48 inference(definition_unfolding,[],[f49146,f50620])).
% 58.13/9.48 tff(f49146,plain,(
% 58.13/9.48 ( ! [X1 : real] : (zero_zero(real) = iG321(X1) | zero_zero(real) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28091])).
% 58.13/9.48 tff(f96885,plain,(
% 58.13/9.48 spl5880_3243),
% 58.13/9.48 inference(avatar_split_clause,[],[f67664,f96883])).
% 58.13/9.48 tff(f96883,plain,(
% 58.13/9.48 spl5880_3243 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG437(X1,zero_zero(X1),X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3243])])).
% 58.13/9.48 tff(f67664,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG437(X1,zero_zero(X1),X2,X3)) )),
% 58.13/9.48 inference(equality_resolution,[],[f48916])).
% 58.13/9.48 tff(f48916,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG437(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f38653])).
% 58.13/9.48 tff(f38653,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG437(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG437(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG437(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG437(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(nnf_transformation,[],[f28005])).
% 58.13/9.48 tff(f28005,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG437(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG437(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(ennf_transformation,[],[f22455])).
% 58.13/9.48 tff(f22455,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG437(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG437(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 58.13/9.48 inference(flattening,[],[f22454])).
% 58.13/9.48 tff(f22454,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG437(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG437(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 58.13/9.48 inference(rectify,[],[f11295])).
% 58.13/9.48 tff(f96881,plain,(
% 58.13/9.48 spl5880_3242),
% 58.13/9.48 inference(avatar_split_clause,[],[f67660,f96879])).
% 58.13/9.48 tff(f96879,plain,(
% 58.13/9.48 spl5880_3242 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG438(X1,zero_zero(X1),X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3242])])).
% 58.13/9.48 tff(f67660,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG438(X1,zero_zero(X1),X2,X3)) )),
% 58.13/9.48 inference(equality_resolution,[],[f48912])).
% 58.13/9.48 tff(f48912,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG438(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f38652])).
% 58.13/9.48 tff(f38652,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG438(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG438(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG438(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG438(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(nnf_transformation,[],[f28004])).
% 58.13/9.48 tff(f28004,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG438(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG438(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(ennf_transformation,[],[f22453])).
% 58.13/9.48 tff(f22453,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG438(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG438(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 58.13/9.48 inference(flattening,[],[f22452])).
% 58.13/9.48 tff(f22452,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG438(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG438(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 58.13/9.48 inference(rectify,[],[f11298])).
% 58.13/9.48 tff(f96877,plain,(
% 58.13/9.48 spl5880_3241),
% 58.13/9.48 inference(avatar_split_clause,[],[f67647,f96875])).
% 58.13/9.48 tff(f96875,plain,(
% 58.13/9.48 spl5880_3241 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG443(X1,zero_zero(X1),X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3241])])).
% 58.13/9.48 tff(f67647,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG443(X1,zero_zero(X1),X2,X3)) )),
% 58.13/9.48 inference(equality_resolution,[],[f48892])).
% 58.13/9.48 tff(f48892,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG443(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f38647])).
% 58.13/9.48 tff(f38647,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG443(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG443(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG443(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) & (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG443(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(nnf_transformation,[],[f27999])).
% 58.13/9.48 tff(f27999,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG443(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG443(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(ennf_transformation,[],[f22443])).
% 58.13/9.48 tff(f22443,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG443(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG443(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 58.13/9.48 inference(flattening,[],[f22442])).
% 58.13/9.48 tff(f22442,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG443(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG443(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 58.13/9.48 inference(rectify,[],[f11313])).
% 58.13/9.48 tff(f96873,plain,(
% 58.13/9.48 spl5880_3240),
% 58.13/9.48 inference(avatar_split_clause,[],[f67644,f96871])).
% 58.13/9.48 tff(f96871,plain,(
% 58.13/9.48 spl5880_3240 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG444(X1,zero_zero(X1),X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3240])])).
% 58.13/9.48 tff(f67644,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG444(X1,zero_zero(X1),X2,X3)) )),
% 58.13/9.48 inference(equality_resolution,[],[f48888])).
% 58.13/9.48 tff(f48888,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG444(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f38646])).
% 58.13/9.48 tff(f38646,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG444(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG444(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG444(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) & (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG444(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(nnf_transformation,[],[f27998])).
% 58.13/9.48 tff(f27998,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG444(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG444(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4)),
% 58.13/9.48 inference(ennf_transformation,[],[f22441])).
% 58.13/9.48 tff(f22441,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG444(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG444(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 58.13/9.48 inference(flattening,[],[f22440])).
% 58.13/9.48 tff(f22440,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG444(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG444(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 58.13/9.48 inference(rectify,[],[f11316])).
% 58.13/9.48 tff(f96868,plain,(
% 58.13/9.48 spl5880_3239),
% 58.13/9.48 inference(avatar_split_clause,[],[f67092,f96866])).
% 58.13/9.48 tff(f67092,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1242(X5),$true) = iG1245(one_one(nat),X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47245])).
% 58.13/9.48 tff(f47245,plain,(
% 58.13/9.48 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1242(X5),$true) = iG1245(X3,X4,X5) | one_one(nat) != X3) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27627])).
% 58.13/9.48 tff(f96863,plain,(
% 58.13/9.48 spl5880_3238),
% 58.13/9.48 inference(avatar_split_clause,[],[f67091,f96861])).
% 58.13/9.48 tff(f67091,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1241(X4)) = iG1246(zero_zero(nat),X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47243])).
% 58.13/9.48 tff(f47243,plain,(
% 58.13/9.48 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1241(X4)) = iG1246(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27626])).
% 58.13/9.48 tff(f96858,plain,(
% 58.13/9.48 spl5880_3237),
% 58.13/9.48 inference(avatar_split_clause,[],[f67082,f96856])).
% 58.13/9.48 tff(f67082,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG1256(X5),$true) = iG1259(one_one(nat),X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47217])).
% 58.13/9.48 tff(f47217,plain,(
% 58.13/9.48 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG1256(X5),$true) = iG1259(X3,X4,X5) | one_one(nat) != X3) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27620])).
% 58.13/9.48 tff(f96853,plain,(
% 58.13/9.48 spl5880_3236),
% 58.13/9.48 inference(avatar_split_clause,[],[f67081,f96851])).
% 58.13/9.48 tff(f67081,plain,(
% 58.13/9.48 ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1255(X4)) = iG1260(zero_zero(nat),X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f47215])).
% 58.13/9.48 tff(f47215,plain,(
% 58.13/9.48 ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG1255(X4)) = iG1260(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27619])).
% 58.13/9.48 tff(f96848,plain,(
% 58.13/9.48 spl5880_3235),
% 58.13/9.48 inference(avatar_split_clause,[],[f66868,f96846])).
% 58.13/9.48 tff(f66868,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X2,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f46435])).
% 58.13/9.48 tff(f46435,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X0,X1,X2,X3,X4,X5) | X0 != X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27409])).
% 58.13/9.48 tff(f27409,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X0 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10)),vEBT_VEBT_low(lG1654(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10))))),iG1657(X10,X8,X6,X9,X11)) = iG1658(X6,X7,X8,X9,X10,X11) | X6 = X7 | X6 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 58.13/9.48 inference(flattening,[],[f27408])).
% 58.13/9.48 tff(f27408,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X0 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10)),vEBT_VEBT_low(lG1654(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10))))),iG1657(X10,X8,X6,X9,X11)) = iG1658(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X6 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f20744])).
% 58.13/9.48 tff(f20744,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X0 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1658(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X6 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10)),vEBT_VEBT_low(lG1654(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1656(X6,X8,X10))))),iG1657(X10,X8,X6,X9,X11)) = iG1658(X6,X7,X8,X9,X10,X11))),
% 58.13/9.48 inference(rectify,[],[f19918])).
% 58.13/9.48 tff(f19918,plain,(
% 58.13/9.48 ! [X5 : nat,X1 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X4 : vEBT_VEBT] : (~(~(X1 = X5 | X0 = X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X5,X0,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => one_one(nat) = iG1658(X5,X1,X0,X3,X2,X4)) & ! [X5 : nat,X1 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X4 : vEBT_VEBT] : ((~(X1 = X5 | X0 = X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1656(X5,X0,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_i_n_s_e_r_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1656(X5,X0,X2)),vEBT_VEBT_low(lG1654(X5,X0),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_T_m_i_n_N_u_l_l(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1656(X5,X0,X2))))),iG1657(X2,X0,X5,X3,X4)) = iG1658(X5,X1,X0,X3,X2,X4))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1658])])).
% 58.13/9.48 tff(f96843,plain,(
% 58.13/9.48 spl5880_3234),
% 58.13/9.48 inference(avatar_split_clause,[],[f66867,f96841])).
% 58.13/9.48 tff(f66867,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X1,X1,X2,X3,X4,X5)) )),
% 58.13/9.48 inference(equality_resolution,[],[f46436])).
% 58.13/9.48 tff(f46436,plain,(
% 58.13/9.48 ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (one_one(nat) = iG1658(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27409])).
% 58.13/9.48 tff(f96839,plain,(
% 58.13/9.48 spl5880_3233),
% 58.13/9.48 inference(avatar_split_clause,[],[f63788,f96837])).
% 58.13/9.48 tff(f96837,plain,(
% 58.13/9.48 spl5880_3233 <=> ! [X1 : $tType,X0 : option(X1),X3 : option(X1),X2 : option(X1)] : (none(X1) = X0 | ~sP2461(X1,X0,X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3233])])).
% 58.13/9.48 tff(f63788,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : option(X1),X3 : option(X1),X0 : option(X1)] : (none(X1) = X0 | ~sP2461(X1,X0,X2,X3)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f45443])).
% 58.13/9.48 tff(f96835,plain,(
% 58.13/9.48 spl5880_3232),
% 58.13/9.48 inference(avatar_split_clause,[],[f63787,f96833])).
% 58.13/9.48 tff(f96833,plain,(
% 58.13/9.48 spl5880_3232 <=> ! [X1 : $tType,X0 : option(X1),X3 : option(X1),X2 : option(X1)] : (none(X1) = X2 | ~sP2461(X1,X0,X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3232])])).
% 58.13/9.48 tff(f63787,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : option(X1),X3 : option(X1),X0 : option(X1)] : (none(X1) = X2 | ~sP2461(X1,X0,X2,X3)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f45443])).
% 58.13/9.48 tff(f96831,plain,(
% 58.13/9.48 spl5880_3231),
% 58.13/9.48 inference(avatar_split_clause,[],[f63722,f96829])).
% 58.13/9.48 tff(f96829,plain,(
% 58.13/9.48 spl5880_3231 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3231])])).
% 58.13/9.48 tff(f63722,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f36383])).
% 58.13/9.48 tff(f36383,plain,(
% 58.13/9.48 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4))),
% 58.13/9.48 inference(ennf_transformation,[],[f27061])).
% 58.13/9.48 tff(f27061,plain,(
% 58.13/9.48 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4) => X1 = X4)),
% 58.13/9.48 inference(rectify,[],[f177])).
% 58.13/9.48 tff(f177,axiom,(
% 58.13/9.48 ! [X58 : option(product_prod(nat,nat)),X59 : nat,X57 : list(vEBT_VEBT),X60 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(vEBT_Node(X58,X59,X57,X60),X8) => X8 = X59)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_deg__deg__n)).
% 58.13/9.48 tff(f96827,plain,(
% 58.13/9.48 spl5880_3230),
% 58.13/9.48 inference(avatar_split_clause,[],[f63410,f96825])).
% 58.13/9.48 tff(f96825,plain,(
% 58.13/9.48 spl5880_3230 <=> ! [X3 : $tType,X0 : X3,X2 : set(product_prod(X3,X3)),X1 : X3] : (sP2453(X3,X0,X1,X2) | ~sP2452(X3,X2,X1,X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3230])])).
% 58.13/9.48 tff(f63410,plain,(
% 58.13/9.48 ( ! [X3 : $tType,X2 : set(product_prod(X3,X3)),X0 : X3,X1 : X3] : (sP2453(X3,X0,X1,X2) | ~sP2452(X3,X2,X1,X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f45240])).
% 58.13/9.48 tff(f96823,plain,(
% 58.13/9.48 spl5880_3229),
% 58.13/9.48 inference(avatar_split_clause,[],[f63061,f96821])).
% 58.13/9.48 tff(f96821,plain,(
% 58.13/9.48 spl5880_3229 <=> ! [X0 : $tType,X3 : list(X0),X2 : $o,X1 : fun(X0,fun(X0,$o))] : (nil(X0) = X3 | ~sP2417(X0,X1,X2,X3))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3229])])).
% 58.13/9.48 tff(f63061,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : $o,X3 : list(X0),X1 : fun(X0,fun(X0,$o))] : (nil(X0) = X3 | ~sP2417(X0,X1,X2,X3)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44924])).
% 58.13/9.48 tff(f44924,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X2 : $o,X3 : list(X0)] : ((($true = aa(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o,accp(product_prod(fun(X0,fun(X0,$o)),list(X0)),sorted_wrt_rel(X0)),aa(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0)),aa(fun(X0,fun(X0,$o)),fun(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0))),product_Pair(fun(X0,fun(X0,$o)),list(X0)),X1),nil(X0)))) & ($true = X2) & nil(X0) = X3) | ~sP2417(X0,X1,X2,X3))),
% 58.13/9.48 inference(rectify,[],[f44923])).
% 58.13/9.48 tff(f44923,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X3 : $o,X2 : list(X0)] : ((($true = aa(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o,accp(product_prod(fun(X0,fun(X0,$o)),list(X0)),sorted_wrt_rel(X0)),aa(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0)),aa(fun(X0,fun(X0,$o)),fun(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0))),product_Pair(fun(X0,fun(X0,$o)),list(X0)),X1),nil(X0)))) & ($true = X3) & nil(X0) = X2) | ~sP2417(X0,X1,X3,X2))),
% 58.13/9.48 inference(nnf_transformation,[],[f37785])).
% 58.13/9.48 tff(f37785,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : fun(X0,fun(X0,$o)),X3 : $o,X2 : list(X0)] : ((($true = aa(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o,accp(product_prod(fun(X0,fun(X0,$o)),list(X0)),sorted_wrt_rel(X0)),aa(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0)),aa(fun(X0,fun(X0,$o)),fun(list(X0),product_prod(fun(X0,fun(X0,$o)),list(X0))),product_Pair(fun(X0,fun(X0,$o)),list(X0)),X1),nil(X0)))) & ($true = X3) & nil(X0) = X2) | ~sP2417(X0,X1,X3,X2))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2417])])).
% 58.13/9.48 tff(f96819,plain,(
% 58.13/9.48 spl5880_3228),
% 58.13/9.48 inference(avatar_split_clause,[],[f62870,f96817])).
% 58.13/9.48 tff(f96817,plain,(
% 58.13/9.48 spl5880_3228 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (finite_finite(X0,sK5319(X0,X1,X2)) | ~sP2411(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3228])])).
% 58.13/9.48 tff(f62870,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (finite_finite(X0,sK5319(X0,X1,X2)) | ~sP2411(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44815])).
% 58.13/9.48 tff(f96815,plain,(
% 58.13/9.48 spl5880_3227),
% 58.13/9.48 inference(avatar_split_clause,[],[f62864,f96813])).
% 58.13/9.48 tff(f96813,plain,(
% 58.13/9.48 spl5880_3227 <=> ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (finite_finite(X0,sK5317(X0,X1,X2)) | ~sP2410(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3227])])).
% 58.13/9.48 tff(f62864,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : set(X0),X1 : fun(set(X0),$o)] : (finite_finite(X0,sK5317(X0,X1,X2)) | ~sP2410(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44811])).
% 58.13/9.48 tff(f96811,plain,(
% 58.13/9.48 spl5880_3226),
% 58.13/9.48 inference(avatar_split_clause,[],[f62259,f96809])).
% 58.13/9.48 tff(f96809,plain,(
% 58.13/9.48 spl5880_3226 <=> ! [X2 : int,X0 : int,X1 : int] : (gcd_gcd(int,X1,X2) = X0 | ~sP2389(X0,X2,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3226])])).
% 58.13/9.48 tff(f62259,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : int,X1 : int] : (gcd_gcd(int,X1,X2) = X0 | ~sP2389(X0,X2,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44540])).
% 58.13/9.48 tff(f44540,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((sP2389(X0,X2,X1) | gcd_gcd(int,X1,X2) != X0) & (gcd_gcd(int,X1,X2) = X0 | ~sP2389(X0,X2,X1)))),
% 58.13/9.48 inference(nnf_transformation,[],[f37738])).
% 58.13/9.48 tff(f37738,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : (sP2389(X0,X2,X1) <=> gcd_gcd(int,X1,X2) = X0)),
% 58.13/9.48 inference(definition_folding,[],[f35903,f37737])).
% 58.13/9.48 tff(f35903,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (dvd_dvd(int,X3,X0) | ~dvd_dvd(int,X3,X2) | ~dvd_dvd(int,X3,X1)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> gcd_gcd(int,X1,X2) = X0)),
% 58.13/9.48 inference(flattening,[],[f35902])).
% 58.13/9.48 tff(f35902,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (dvd_dvd(int,X3,X0) | (~dvd_dvd(int,X3,X2) | ~dvd_dvd(int,X3,X1))) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> gcd_gcd(int,X1,X2) = X0)),
% 58.13/9.48 inference(ennf_transformation,[],[f18691])).
% 58.13/9.48 tff(f18691,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : ((dvd_dvd(int,X3,X2) & dvd_dvd(int,X3,X1)) => dvd_dvd(int,X3,X0)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> gcd_gcd(int,X1,X2) = X0)),
% 58.13/9.48 inference(fool_elimination,[],[f18690])).
% 58.13/9.48 tff(f18690,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : ((dvd_dvd(int,X3,X2) & dvd_dvd(int,X3,X1)) => dvd_dvd(int,X3,X0)) & dvd_dvd(int,X0,X2) & dvd_dvd(int,X0,X1) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) <=> gcd_gcd(int,X1,X2) = X0)),
% 58.13/9.48 inference(rectify,[],[f5638])).
% 58.13/9.48 tff(f5638,axiom,(
% 58.13/9.48 ! [X10 : int,X11 : int,X12 : int] : ((! [X284 : int] : ((dvd_dvd(int,X284,X12) & dvd_dvd(int,X284,X11)) => dvd_dvd(int,X284,X10)) & dvd_dvd(int,X10,X12) & dvd_dvd(int,X10,X11) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X10)) <=> gcd_gcd(int,X11,X12) = X10)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5637_gcd__unique__int)).
% 58.13/9.48 tff(f96807,plain,(
% 58.13/9.48 spl5880_3225),
% 58.13/9.48 inference(avatar_split_clause,[],[f62107,f96805])).
% 58.13/9.48 tff(f96805,plain,(
% 58.13/9.48 spl5880_3225 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (remdups_adj(X0,X1) = X2 | ~sP2387(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3225])])).
% 58.13/9.48 tff(f62107,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (remdups_adj(X0,X1) = X2 | ~sP2387(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44414])).
% 58.13/9.48 tff(f44414,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((remdups_adj(X0,X1) = X2 | ~sP2387(X0,X1,X2)) & (sP2387(X0,X1,X2) | remdups_adj(X0,X1) != X2))),
% 58.13/9.48 inference(nnf_transformation,[],[f37734])).
% 58.13/9.48 tff(f37734,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> sP2387(X0,X1,X2))),
% 58.13/9.48 inference(definition_folding,[],[f35893,f37733,f37732])).
% 58.13/9.48 tff(f37732,plain,(
% 58.13/9.48 ! [X3 : fun(nat,nat),X1 : list(X0),X0 : $tType] : (sP2386(X0,X3,X1) <=> ! [X4 : nat] : ((aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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)))))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2386])])).
% 58.13/9.48 tff(f35893,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> ? [X3 : fun(nat,nat)] : (! [X4 : nat] : ((aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & aa(set(nat),set(nat),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 58.13/9.48 inference(ennf_transformation,[],[f18649])).
% 58.13/9.48 tff(f18649,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> ? [X3 : fun(nat,nat)] : (! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),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),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 58.13/9.48 inference(fool_elimination,[],[f18648])).
% 58.13/9.48 tff(f18648,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> ? [X3 : fun(nat,nat)] : (! [X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X1)) => (aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))))) & ! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),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),image(nat,nat,X3),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 58.13/9.48 inference(rectify,[],[f6919])).
% 58.13/9.48 tff(f6919,axiom,(
% 58.13/9.48 ! [X0 : $tType,X64 : list(X0),X127 : list(X0)] : (remdups_adj(X0,X64) = X127 <=> ? [X278 : fun(nat,nat)] : (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X45),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X64)) => (aa(nat,X0,nth(X0,X64),X45) = aa(nat,X0,nth(X0,X64),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X45),one_one(nat))) <=> aa(nat,nat,X278,X45) = aa(nat,nat,X278,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X45),one_one(nat))))) & ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(list(X0),nat,size_size(list(X0)),X64)) => aa(nat,X0,nth(X0,X64),X45) = aa(nat,X0,nth(X0,X127),aa(nat,nat,X278,X45))) & aa(set(nat),set(nat),image(nat,nat,X278),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X64))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X127)) & order_mono(nat,nat,X278)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6918_remdups__adj__altdef)).
% 58.13/9.48 tff(f96803,plain,(
% 58.13/9.48 spl5880_3224),
% 58.13/9.48 inference(avatar_split_clause,[],[f62068,f96801])).
% 58.13/9.48 tff(f96801,plain,(
% 58.13/9.48 spl5880_3224 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5221(X0,X1,X2) = X1 | ~sP2381(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3224])])).
% 58.13/9.48 tff(f62068,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5221(X0,X1,X2) = X1 | ~sP2381(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44386])).
% 58.13/9.48 tff(f96799,plain,(
% 58.13/9.48 spl5880_3223),
% 58.13/9.48 inference(avatar_split_clause,[],[f62067,f96797])).
% 58.13/9.48 tff(f96797,plain,(
% 58.13/9.48 spl5880_3223 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5222(X0,X1,X2) = X2 | ~sP2381(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3223])])).
% 58.13/9.48 tff(f62067,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5222(X0,X1,X2) = X2 | ~sP2381(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44386])).
% 58.13/9.48 tff(f96795,plain,(
% 58.13/9.48 spl5880_3222),
% 58.13/9.48 inference(avatar_split_clause,[],[f62061,f96793])).
% 58.13/9.48 tff(f96793,plain,(
% 58.13/9.48 spl5880_3222 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5218(X0,X1,X2) = X1 | ~sP2382(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3222])])).
% 58.13/9.48 tff(f62061,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5218(X0,X1,X2) = X1 | ~sP2382(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44382])).
% 58.13/9.48 tff(f44382,plain,(
% 58.13/9.48 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP2382(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 | ($true != aa(int,$o,aa(int,fun(int,$o),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) != X0 | X1 != X4 | X2 != X5)) & ((sK5219(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),sK5220(X0,X1,X2)),sK5218(X0,X1,X2))),sK5217(X0,X1,X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),sK5217(X0,X1,X2))),aa(int,int,abs_abs(int),sK5218(X0,X1,X2)))) & aa(int,int,sgn_sgn(int),sK5218(X0,X1,X2)) = aa(int,int,sgn_sgn(int),sK5217(X0,X1,X2)) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK5220(X0,X1,X2)),sK5217(X0,X1,X2)) = X0 & sK5218(X0,X1,X2) = X1 & sK5219(X0,X1,X2) = X2) | ~sP2382(X0,X1,X2)))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5217,sK5218,sK5219,sK5220])],[f44380,f44381])).
% 58.13/9.48 tff(f44381,plain,(
% 58.13/9.48 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : (? [X7 : int,X8 : int,X9 : int,X10 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X10),X8)),X7) = X9 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X7)),aa(int,int,abs_abs(int),X8))) & aa(int,int,sgn_sgn(int),X8) = aa(int,int,sgn_sgn(int),X7) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X10),X7) = X0 & X1 = X8 & X2 = X9) => (sK5219(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),sK5220(X0,X1,X2)),sK5218(X0,X1,X2))),sK5217(X0,X1,X2)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),sK5217(X0,X1,X2))),aa(int,int,abs_abs(int),sK5218(X0,X1,X2)))) & aa(int,int,sgn_sgn(int),sK5218(X0,X1,X2)) = aa(int,int,sgn_sgn(int),sK5217(X0,X1,X2)) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK5220(X0,X1,X2)),sK5217(X0,X1,X2)) = X0 & sK5218(X0,X1,X2) = X1 & sK5219(X0,X1,X2) = X2))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f44380,plain,(
% 58.13/9.48 ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP2382(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) != X5 | ($true != aa(int,$o,aa(int,fun(int,$o),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) != X0 | X1 != X4 | X2 != X5)) & (? [X7 : int,X8 : int,X9 : int,X10 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X10),X8)),X7) = X9 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X7)),aa(int,int,abs_abs(int),X8))) & aa(int,int,sgn_sgn(int),X8) = aa(int,int,sgn_sgn(int),X7) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X10),X7) = X0 & X1 = X8 & X2 = X9) | ~sP2382(X0,X1,X2)))),
% 58.13/9.48 inference(rectify,[],[f44379])).
% 58.13/9.48 tff(f44379,plain,(
% 58.13/9.48 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : ((sP2382(X2,X1,X0) | ! [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) != X5 | ($true != aa(int,$o,aa(int,fun(int,$o),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)) & (? [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 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X6),X3) = X2 & X1 = X4 & X0 = X5) | ~sP2382(X2,X1,X0)))),
% 58.13/9.48 inference(nnf_transformation,[],[f37725])).
% 58.13/9.48 tff(f37725,plain,(
% 58.13/9.48 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP2382(X2,X1,X0) <=> ? [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) = X5 & ($true = aa(int,$o,aa(int,fun(int,$o),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))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2382])])).
% 58.13/9.48 tff(f96791,plain,(
% 58.13/9.48 spl5880_3221),
% 58.13/9.48 inference(avatar_split_clause,[],[f62060,f96789])).
% 58.13/9.48 tff(f96789,plain,(
% 58.13/9.48 spl5880_3221 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5219(X0,X1,X2) = X2 | ~sP2382(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3221])])).
% 58.13/9.48 tff(f62060,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK5219(X0,X1,X2) = X2 | ~sP2382(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44382])).
% 58.13/9.48 tff(f96787,plain,(
% 58.13/9.48 spl5880_3220),
% 58.13/9.48 inference(avatar_split_clause,[],[f61628,f96785])).
% 58.13/9.48 tff(f96785,plain,(
% 58.13/9.48 spl5880_3220 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (finite_finite(X1,sK5126(X1,X0,X2)) | ~sP2365(X1,X0,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3220])])).
% 58.13/9.48 tff(f61628,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (finite_finite(X1,sK5126(X1,X0,X2)) | ~sP2365(X1,X0,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44179])).
% 58.13/9.48 tff(f96783,plain,(
% 58.13/9.48 spl5880_3219),
% 58.13/9.48 inference(avatar_split_clause,[],[f61553,f96781])).
% 58.13/9.48 tff(f96781,plain,(
% 58.13/9.48 spl5880_3219 <=> ! [X1 : $tType,X2 : set(X1),X0 : nat] : (finite_finite(X1,sK5067(X1,X0,X2)) | ~sP2361(X1,X0,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3219])])).
% 58.13/9.48 tff(f61553,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : set(X1),X0 : nat] : (finite_finite(X1,sK5067(X1,X0,X2)) | ~sP2361(X1,X0,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44086])).
% 58.13/9.48 tff(f44086,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : $tType,X2 : set(X1)] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X1),nat,finite_card(X1),sK5067(X1,X0,X2))),X0)) & finite_finite(X1,sK5067(X1,X0,X2)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK5067(X1,X0,X2)),X2))) | ~sP2361(X1,X0,X2))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5067])],[f44084,f44085])).
% 58.13/9.48 tff(f44085,plain,(
% 58.13/9.48 ! [X1 : $tType,X0 : nat,X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X1),nat,finite_card(X1),X3)),X0)) & finite_finite(X1,X3) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2))) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X1),nat,finite_card(X1),sK5067(X1,X0,X2))),X0)) & finite_finite(X1,sK5067(X1,X0,X2)) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),sK5067(X1,X0,X2)),X2))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f44084,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : $tType,X2 : set(X1)] : (? [X3 : set(X1)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X1),nat,finite_card(X1),X3)),X0)) & finite_finite(X1,X3) & ($true = aa(set(X1),$o,aa(set(X1),fun(set(X1),$o),ord_less_eq(set(X1)),X3),X2))) | ~sP2361(X1,X0,X2))),
% 58.13/9.48 inference(rectify,[],[f44083])).
% 58.13/9.48 tff(f44083,plain,(
% 58.13/9.48 ! [X2 : nat,X0 : $tType,X1 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2)) & finite_finite(X0,X3) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1))) | ~sP2361(X0,X2,X1))),
% 58.13/9.48 inference(nnf_transformation,[],[f37689])).
% 58.13/9.48 tff(f37689,plain,(
% 58.13/9.48 ! [X2 : nat,X0 : $tType,X1 : set(X0)] : (? [X3 : set(X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2)) & finite_finite(X0,X3) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1))) | ~sP2361(X0,X2,X1))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2361])])).
% 58.13/9.48 tff(f96779,plain,(
% 58.13/9.48 spl5880_3218),
% 58.13/9.48 inference(avatar_split_clause,[],[f61424,f96777])).
% 58.13/9.48 tff(f96777,plain,(
% 58.13/9.48 spl5880_3218 <=> ! [X2 : vEBT_VEBT,X0 : $o,X1 : nat] : (($true = X0) | vEBT_VEBT_membermima(X2,X1) | ~sP2343(X0,X1,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3218])])).
% 58.13/9.48 tff(f61424,plain,(
% 58.13/9.48 ( ! [X2 : vEBT_VEBT,X0 : $o,X1 : nat] : (($true = X0) | vEBT_VEBT_membermima(X2,X1) | ~sP2343(X0,X1,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43937])).
% 58.13/9.48 tff(f43937,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : nat,X2 : vEBT_VEBT] : (((($true != X0) | ~vEBT_VEBT_membermima(X2,X1)) & (($true = X0) | vEBT_VEBT_membermima(X2,X1))) | ~sP2343(X0,X1,X2))),
% 58.13/9.48 inference(rectify,[],[f43936])).
% 58.13/9.48 tff(f43936,plain,(
% 58.13/9.48 ! [X2 : $o,X1 : nat,X0 : vEBT_VEBT] : (((($true != X2) | ~vEBT_VEBT_membermima(X0,X1)) & (($true = X2) | vEBT_VEBT_membermima(X0,X1))) | ~sP2343(X2,X1,X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37665])).
% 58.13/9.48 tff(f37665,plain,(
% 58.13/9.48 ! [X2 : $o,X1 : nat,X0 : vEBT_VEBT] : ((vEBT_VEBT_membermima(X0,X1) <~> ($true = X2)) | ~sP2343(X2,X1,X0))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2343])])).
% 58.13/9.48 tff(f96775,plain,(
% 58.13/9.48 spl5880_3217),
% 58.13/9.48 inference(avatar_split_clause,[],[f61111,f96773])).
% 58.13/9.48 tff(f96773,plain,(
% 58.13/9.48 spl5880_3217 <=> ! [X0 : $tType,X1 : set(filter(X0))] : (member(filter(X0),sK4861(X0,X1),X1) | ~sP2292(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3217])])).
% 58.13/9.48 tff(f61111,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(filter(X0))] : (member(filter(X0),sK4861(X0,X1),X1) | ~sP2292(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43658])).
% 58.13/9.48 tff(f43658,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (((! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),sK4860(X0,X1)),sK4861(X0,X1)))) | ~member(filter(X0),X4,X1)) & member(filter(X0),sK4861(X0,X1),X1)) & member(filter(X0),sK4860(X0,X1),X1)) | ~sP2292(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4860,sK4861])],[f43655,f43657,f43656])).
% 58.13/9.48 tff(f43656,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (? [X2 : filter(X0)] : (? [X3 : filter(X0)] : (! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),X2),X3))) | ~member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) & member(filter(X0),X2,X1)) => (? [X3 : filter(X0)] : (! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),sK4860(X0,X1)),X3))) | ~member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) & member(filter(X0),sK4860(X0,X1),X1)))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f43657,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (? [X3 : filter(X0)] : (! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),sK4860(X0,X1)),X3))) | ~member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) => (! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),sK4860(X0,X1)),sK4861(X0,X1)))) | ~member(filter(X0),X4,X1)) & member(filter(X0),sK4861(X0,X1),X1)))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f43655,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (? [X2 : filter(X0)] : (? [X3 : filter(X0)] : (! [X4 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X4),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),X2),X3))) | ~member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) & member(filter(X0),X2,X1)) | ~sP2292(X0,X1))),
% 58.13/9.48 inference(rectify,[],[f43654])).
% 58.13/9.48 tff(f43654,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (? [X3 : filter(X0)] : (? [X4 : filter(X0)] : (! [X5 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X5),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),X3),X4))) | ~member(filter(X0),X5,X1)) & member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) | ~sP2292(X0,X1))),
% 58.13/9.48 inference(nnf_transformation,[],[f37604])).
% 58.13/9.48 tff(f37604,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(filter(X0))] : (? [X3 : filter(X0)] : (? [X4 : filter(X0)] : (! [X5 : filter(X0)] : (($true != aa(filter(X0),$o,aa(filter(X0),fun(filter(X0),$o),ord_less_eq(filter(X0)),X5),aa(filter(X0),filter(X0),aa(filter(X0),fun(filter(X0),filter(X0)),inf_inf(filter(X0)),X3),X4))) | ~member(filter(X0),X5,X1)) & member(filter(X0),X4,X1)) & member(filter(X0),X3,X1)) | ~sP2292(X0,X1))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2292])])).
% 58.13/9.48 tff(f96771,plain,(
% 58.13/9.48 spl5880_3216),
% 58.13/9.48 inference(avatar_split_clause,[],[f61110,f96769])).
% 58.13/9.48 tff(f96769,plain,(
% 58.13/9.48 spl5880_3216 <=> ! [X0 : $tType,X1 : set(filter(X0))] : (member(filter(X0),sK4860(X0,X1),X1) | ~sP2292(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3216])])).
% 58.13/9.48 tff(f61110,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(filter(X0))] : (member(filter(X0),sK4860(X0,X1),X1) | ~sP2292(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f43658])).
% 58.13/9.48 tff(f96767,plain,(
% 58.13/9.48 spl5880_3215),
% 58.13/9.48 inference(avatar_split_clause,[],[f60501,f96765])).
% 58.13/9.48 tff(f96765,plain,(
% 58.13/9.48 spl5880_3215 <=> ! [X0 : $tType,X1 : set(set(X0))] : (member(set(X0),sK4307(X0,X1),X1) | ~sP2139(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3215])])).
% 58.13/9.48 tff(f60501,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(set(X0))] : (member(set(X0),sK4307(X0,X1),X1) | ~sP2139(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42905])).
% 58.13/9.48 tff(f96763,plain,(
% 58.13/9.48 spl5880_3214),
% 58.13/9.48 inference(avatar_split_clause,[],[f60500,f96761])).
% 58.13/9.48 tff(f96761,plain,(
% 58.13/9.48 spl5880_3214 <=> ! [X0 : $tType,X1 : set(set(X0))] : (member(set(X0),sK4306(X0,X1),X1) | ~sP2139(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3214])])).
% 58.13/9.48 tff(f60500,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(set(X0))] : (member(set(X0),sK4306(X0,X1),X1) | ~sP2139(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42905])).
% 58.13/9.48 tff(f96759,plain,(
% 58.13/9.48 spl5880_3213),
% 58.13/9.48 inference(avatar_split_clause,[],[f60428,f96757])).
% 58.13/9.48 tff(f96757,plain,(
% 58.13/9.48 spl5880_3213 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (finite_finite(X1,sK4286(X1,X0,X2)) | ~sP2134(X1,X0,X2))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3213])])).
% 58.13/9.48 tff(f60428,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : set(X1),X0 : fun(set(X1),$o)] : (finite_finite(X1,sK4286(X1,X0,X2)) | ~sP2134(X1,X0,X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42865])).
% 58.13/9.48 tff(f96755,plain,(
% 58.13/9.48 spl5880_3212),
% 58.13/9.48 inference(avatar_split_clause,[],[f59676,f96753])).
% 58.13/9.48 tff(f59676,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : fun(nat,$o)] : (sP2119(X1,X0) | ($true != aa(nat,$o,X1,X0))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42601])).
% 58.13/9.48 tff(f42601,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2119(X1,X0) | (! [X2 : nat] : (($true != aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) & ($true != aa(nat,$o,X1,X0)))) & ((($true = aa(nat,$o,X1,sK4214(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4214(X0,X1)),X0))) | ($true = aa(nat,$o,X1,X0)) | ~sP2119(X1,X0)))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4214])],[f42599,f42600])).
% 58.13/9.48 tff(f42600,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) => (($true = aa(nat,$o,X1,sK4214(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4214(X0,X1)),X0))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42599,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2119(X1,X0) | (! [X2 : nat] : (($true != aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) & ($true != aa(nat,$o,X1,X0)))) & (? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,X0)) | ~sP2119(X1,X0)))),
% 58.13/9.48 inference(rectify,[],[f42598])).
% 58.13/9.48 tff(f42598,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2119(X1,X0) | (! [X3 : nat] : (($true != aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true != aa(nat,$o,X1,X0)))) & (? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,X0)) | ~sP2119(X1,X0)))),
% 58.13/9.48 inference(flattening,[],[f42597])).
% 58.13/9.48 tff(f42597,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2119(X1,X0) | (! [X3 : nat] : (($true != aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true != aa(nat,$o,X1,X0)))) & ((? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,X0))) | ~sP2119(X1,X0)))),
% 58.13/9.48 inference(nnf_transformation,[],[f37389])).
% 58.13/9.48 tff(f37389,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (sP2119(X1,X0) <=> (? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,X0))))),
% 58.13/9.48 inference(definition_folding,[],[f16648,f37388])).
% 58.13/9.48 tff(f16648,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (($true = aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (? [X3 : nat] : (($true = aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true = aa(nat,$o,X1,X0))))),
% 58.13/9.48 inference(fool_elimination,[],[f16647])).
% 58.13/9.48 tff(f16647,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (aa(nat,$o,X1,X2) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))) <=> (? [X3 : nat] : (aa(nat,$o,X1,X3) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0)) | aa(nat,$o,X1,X0)))),
% 58.13/9.48 inference(rectify,[],[f112])).
% 58.13/9.48 tff(f112,axiom,(
% 58.13/9.48 ! [X8 : nat,X26 : fun(nat,$o)] : (? [X45 : nat] : (aa(nat,$o,X26,X45) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,suc,X8))) <=> (? [X45 : nat] : (aa(nat,$o,X26,X45) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X8)) | aa(nat,$o,X26,X8)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_Ex__less__Suc)).
% 58.13/9.48 tff(f96751,plain,(
% 58.13/9.48 spl5880_3211),
% 58.13/9.48 inference(avatar_split_clause,[],[f59649,f96749])).
% 58.13/9.48 tff(f96749,plain,(
% 58.13/9.48 spl5880_3211 <=> ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,X0)) | ~sP2117(X1,X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3211])])).
% 58.13/9.48 tff(f59649,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : fun(nat,$o)] : (($true = aa(nat,$o,X1,X0)) | ~sP2117(X1,X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42567])).
% 58.13/9.48 tff(f42567,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2117(X1,X0) | (($true != aa(nat,$o,X1,sK4204(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4204(X0,X1)),X0))) | ($true != aa(nat,$o,X1,X0))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))) | ~sP2117(X1,X0)))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4204])],[f42565,f42566])).
% 58.13/9.48 tff(f42566,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) => (($true != aa(nat,$o,X1,sK4204(X0,X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4204(X0,X1)),X0))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42565,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2117(X1,X0) | ? [X2 : nat] : (($true != aa(nat,$o,X1,X2)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X0))) | ($true != aa(nat,$o,X1,X0))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))) | ~sP2117(X1,X0)))),
% 58.13/9.48 inference(rectify,[],[f42564])).
% 58.13/9.48 tff(f42564,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2117(X1,X0) | ? [X3 : nat] : (($true != aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true != aa(nat,$o,X1,X0))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))) | ~sP2117(X1,X0)))),
% 58.13/9.48 inference(flattening,[],[f42563])).
% 58.13/9.48 tff(f42563,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : ((sP2117(X1,X0) | (? [X3 : nat] : (($true != aa(nat,$o,X1,X3)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) | ($true != aa(nat,$o,X1,X0)))) & ((! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))) | ~sP2117(X1,X0)))),
% 58.13/9.48 inference(nnf_transformation,[],[f37385])).
% 58.13/9.48 tff(f37385,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (sP2117(X1,X0) <=> (! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))))),
% 58.13/9.48 inference(definition_folding,[],[f34955,f37384])).
% 58.13/9.48 tff(f34955,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (($true = aa(nat,$o,X1,X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (! [X3 : nat] : (($true = aa(nat,$o,X1,X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0))) & ($true = aa(nat,$o,X1,X0))))),
% 58.13/9.48 inference(ennf_transformation,[],[f16638])).
% 58.13/9.48 tff(f16638,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0))) => ($true = aa(nat,$o,X1,X2))) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0)) => ($true = aa(nat,$o,X1,X3))) & ($true = aa(nat,$o,X1,X0))))),
% 58.13/9.48 inference(fool_elimination,[],[f16637])).
% 58.13/9.48 tff(f16637,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : fun(nat,$o)] : (! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(nat,nat,suc,X0)) => aa(nat,$o,X1,X2)) <=> (! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X0) => aa(nat,$o,X1,X3)) & aa(nat,$o,X1,X0)))),
% 58.13/9.48 inference(rectify,[],[f109])).
% 58.13/9.48 tff(f109,axiom,(
% 58.13/9.48 ! [X8 : nat,X26 : fun(nat,$o)] : (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,suc,X8)) => aa(nat,$o,X26,X45)) <=> (! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),X8) => aa(nat,$o,X26,X45)) & aa(nat,$o,X26,X8)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_All__less__Suc)).
% 58.13/9.48 tff(f96747,plain,(
% 58.13/9.48 spl5880_3210),
% 58.13/9.48 inference(avatar_split_clause,[],[f59573,f96745])).
% 58.13/9.48 tff(f96745,plain,(
% 58.13/9.48 spl5880_3210 <=> ! [X0 : $tType,X1 : set(X0)] : (sK4194(X0,X1) != sK4195(X0,X1) | ~sP2114(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3210])])).
% 58.13/9.48 tff(f59573,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(X0)] : (sK4194(X0,X1) != sK4195(X0,X1) | ~sP2114(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42510])).
% 58.13/9.48 tff(f96743,plain,(
% 58.13/9.48 spl5880_3209),
% 58.13/9.48 inference(avatar_split_clause,[],[f59458,f96741])).
% 58.13/9.48 tff(f96741,plain,(
% 58.13/9.48 spl5880_3209 <=> ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 | ~iG984(X1,X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3209])])).
% 58.13/9.48 tff(f59458,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 | ~iG984(X1,X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42433])).
% 58.13/9.48 tff(f42433,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : int] : ((aa(int,nat,nat2,X1) = X0 | ~iG984(X1,X0)) & (iG984(X1,X0) | aa(int,nat,nat2,X1) != X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f16605])).
% 58.13/9.48 tff(f16605,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 <=> iG984(X1,X0))),
% 58.13/9.48 inference(fool_elimination,[],[f16603,f16604])).
% 58.13/9.48 tff(f16604,plain,(
% 58.13/9.48 ! [X1 : int,X0 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (iG984(X1,X0) <=> zero_zero(nat) = X0)) & ! [X1 : int,X0 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (iG984(X1,X0) <=> aa(nat,int,semiring_1_of_nat(int),X0) = X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG984])])).
% 58.13/9.48 tff(f16603,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1), aa(nat,int,semiring_1_of_nat(int),X0) = X1,zero_zero(nat) = X0))),
% 58.13/9.48 inference(rectify,[],[f4685])).
% 58.13/9.48 tff(f4685,axiom,(
% 58.13/9.48 ! [X15 : nat,X20 : int] : (aa(int,nat,nat2,X20) = X15 <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X20), aa(nat,int,semiring_1_of_nat(int),X15) = X20,zero_zero(nat) = X15))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4684_nat__eq__iff2)).
% 58.13/9.48 tff(f96739,plain,(
% 58.13/9.48 spl5880_3208),
% 58.13/9.48 inference(avatar_split_clause,[],[f59456,f96737])).
% 58.13/9.48 tff(f96737,plain,(
% 58.13/9.48 spl5880_3208 <=> ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 | ~iG983(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3208])])).
% 58.13/9.48 tff(f59456,plain,(
% 58.13/9.48 ( ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 | ~iG983(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42432])).
% 58.13/9.48 tff(f42432,plain,(
% 58.13/9.48 ! [X0 : int,X1 : nat] : ((aa(int,nat,nat2,X0) = X1 | ~iG983(X0,X1)) & (iG983(X0,X1) | aa(int,nat,nat2,X0) != X1))),
% 58.13/9.48 inference(nnf_transformation,[],[f16602])).
% 58.13/9.48 tff(f16602,plain,(
% 58.13/9.48 ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 <=> iG983(X0,X1))),
% 58.13/9.48 inference(fool_elimination,[],[f16600,f16601])).
% 58.13/9.48 tff(f16601,plain,(
% 58.13/9.48 ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG983(X0,X1) <=> zero_zero(nat) = X1)) & ! [X0 : int,X1 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG983(X0,X1) <=> aa(nat,int,semiring_1_of_nat(int),X1) = X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG983])])).
% 58.13/9.48 tff(f16600,plain,(
% 58.13/9.48 ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0), aa(nat,int,semiring_1_of_nat(int),X1) = X0,zero_zero(nat) = X1))),
% 58.13/9.48 inference(rectify,[],[f4684])).
% 58.13/9.48 tff(f4684,axiom,(
% 58.13/9.48 ! [X20 : int,X15 : nat] : (aa(int,nat,nat2,X20) = X15 <=> $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X20), aa(nat,int,semiring_1_of_nat(int),X15) = X20,zero_zero(nat) = X15))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4683_nat__eq__iff)).
% 58.13/9.48 tff(f96735,plain,(
% 58.13/9.48 spl5880_3207),
% 58.13/9.48 inference(avatar_split_clause,[],[f59445,f96733])).
% 58.13/9.48 tff(f96733,plain,(
% 58.13/9.48 spl5880_3207 <=> ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) | ~sP2112(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3207])])).
% 58.13/9.48 tff(f59445,plain,(
% 58.13/9.48 ( ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) | ~sP2112(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42421])).
% 58.13/9.48 tff(f42421,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : ((zero_zero(int) = divide_divide(int,X0,X1) | ~sP2112(X0,X1)) & (sP2112(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1)))),
% 58.13/9.48 inference(nnf_transformation,[],[f37375])).
% 58.13/9.48 tff(f37375,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) <=> sP2112(X0,X1))),
% 58.13/9.48 inference(definition_folding,[],[f16597,f37374])).
% 58.13/9.48 tff(f37374,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : (sP2112(X0,X1) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2112])])).
% 58.13/9.48 tff(f16597,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 58.13/9.48 inference(fool_elimination,[],[f16596])).
% 58.13/9.48 tff(f16596,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int))) | (aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) = X1))),
% 58.13/9.48 inference(rectify,[],[f1621])).
% 58.13/9.48 tff(f1621,axiom,(
% 58.13/9.48 ! [X25 : int,X24 : int] : (zero_zero(int) = divide_divide(int,X25,X24) <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),X25) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X25),zero_zero(int))) | (aa(int,$o,aa(int,fun(int,$o),ord_less(int),X25),X24) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X25)) | zero_zero(int) = X24))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1620_zdiv__eq__0__iff)).
% 58.13/9.48 tff(f96731,plain,(
% 58.13/9.48 spl5880_3206),
% 58.13/9.48 inference(avatar_split_clause,[],[f59444,f96729])).
% 58.13/9.48 tff(f96729,plain,(
% 58.13/9.48 spl5880_3206 <=> ! [X0 : int,X1 : int] : (sP2112(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3206])])).
% 58.13/9.48 tff(f59444,plain,(
% 58.13/9.48 ( ! [X0 : int,X1 : int] : (sP2112(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42421])).
% 58.13/9.48 tff(f96727,plain,(
% 58.13/9.48 spl5880_3205),
% 58.13/9.48 inference(avatar_split_clause,[],[f59342,f96725])).
% 58.13/9.48 tff(f96725,plain,(
% 58.13/9.48 spl5880_3205 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4164(X0,X1),sK4163(X0,X1)) | ~sP2104(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3205])])).
% 58.13/9.48 tff(f59342,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4164(X0,X1),sK4163(X0,X1)) | ~sP2104(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42338])).
% 58.13/9.48 tff(f96723,plain,(
% 58.13/9.48 spl5880_3204),
% 58.13/9.48 inference(avatar_split_clause,[],[f59319,f96721])).
% 58.13/9.48 tff(f96721,plain,(
% 58.13/9.48 spl5880_3204 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4148(X0,X1),sK4147(X0,X1)) | ~sP2106(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3204])])).
% 58.13/9.48 tff(f59319,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK4148(X0,X1),sK4147(X0,X1)) | ~sP2106(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42322])).
% 58.13/9.48 tff(f96719,plain,(
% 58.13/9.48 spl5880_3203),
% 58.13/9.48 inference(avatar_split_clause,[],[f59296,f96717])).
% 58.13/9.48 tff(f96717,plain,(
% 58.13/9.48 spl5880_3203 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | sK4135(X0,X1) != sK4136(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3203])])).
% 58.13/9.48 tff(f59296,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | sK4135(X0,X1) != sK4136(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42307])).
% 58.13/9.48 tff(f42307,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ((aa(nat,X0,nth(X0,X1),sK4135(X0,X1)) = aa(nat,X0,nth(X0,X1),sK4136(X0,X1)) & sK4135(X0,X1) != sK4136(X0,X1) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4136(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4135(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X4 : nat] : (! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X4) != aa(nat,X0,nth(X0,X1),X5) | X4 = X5 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4135,sK4136])],[f42304,f42306,f42305])).
% 58.13/9.48 tff(f42305,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) => (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X3) = aa(nat,X0,nth(X0,X1),sK4135(X0,X1)) & sK4135(X0,X1) != X3 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4135(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42306,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X3) = aa(nat,X0,nth(X0,X1),sK4135(X0,X1)) & sK4135(X0,X1) != X3 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) => (aa(nat,X0,nth(X0,X1),sK4135(X0,X1)) = aa(nat,X0,nth(X0,X1),sK4136(X0,X1)) & sK4135(X0,X1) != sK4136(X0,X1) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4136(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42304,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X4 : nat] : (! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X4) != aa(nat,X0,nth(X0,X1),X5) | X4 = X5 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 58.13/9.48 inference(rectify,[],[f42303])).
% 58.13/9.48 tff(f42303,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X2 : nat] : (! [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 58.13/9.48 inference(nnf_transformation,[],[f34943])).
% 58.13/9.48 tff(f34943,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (! [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.13/9.48 inference(flattening,[],[f34942])).
% 58.13/9.48 tff(f34942,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (! [X3 : nat] : ((aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 58.13/9.48 inference(ennf_transformation,[],[f16583])).
% 58.13/9.48 tff(f16583,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => ! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => (X2 != X3 => aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3)))))),
% 58.13/9.48 inference(fool_elimination,[],[f16582])).
% 58.13/9.48 tff(f16582,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)) => ! [X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)) => (X2 != X3 => aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3)))))),
% 58.13/9.48 inference(rectify,[],[f5432])).
% 58.13/9.48 tff(f5432,axiom,(
% 58.13/9.48 ! [X0 : $tType,X64 : list(X0)] : (distinct(X0,X64) <=> ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(list(X0),nat,size_size(list(X0)),X64)) => ! [X164 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X164),aa(list(X0),nat,size_size(list(X0)),X64)) => (X45 != X164 => aa(nat,X0,nth(X0,X64),X45) != aa(nat,X0,nth(X0,X64),X164)))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5431_distinct__conv__nth)).
% 58.13/9.48 tff(f96715,plain,(
% 58.13/9.48 spl5880_3202),
% 58.13/9.48 inference(avatar_split_clause,[],[f58869,f96713])).
% 58.13/9.48 tff(f96713,plain,(
% 58.13/9.48 spl5880_3202 <=> ! [X0 : fun(nat,$o)] : (($true = aa(nat,$o,X0,sK4082(X0))) | ~sP2094(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3202])])).
% 58.13/9.48 tff(f58869,plain,(
% 58.13/9.48 ( ! [X0 : fun(nat,$o)] : (($true = aa(nat,$o,X0,sK4082(X0))) | ~sP2094(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42188])).
% 58.13/9.48 tff(f96711,plain,(
% 58.13/9.48 spl5880_3201),
% 58.13/9.48 inference(avatar_split_clause,[],[f58863,f96709])).
% 58.13/9.48 tff(f96709,plain,(
% 58.13/9.48 spl5880_3201 <=> ! [X0 : fun(int,$o)] : (($true = aa(int,$o,X0,sK4080(X0))) | ~sP2093(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3201])])).
% 58.13/9.48 tff(f58863,plain,(
% 58.13/9.48 ( ! [X0 : fun(int,$o)] : (($true = aa(int,$o,X0,sK4080(X0))) | ~sP2093(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42181])).
% 58.13/9.48 tff(f42181,plain,(
% 58.13/9.48 ! [X0 : fun(int,$o)] : ((($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),times_times(int),sK4080(X0)),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != sK4080(X0) & ($true = aa(int,$o,X0,sK4080(X0)))) | ~sP2093(X0))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4080])],[f42179,f42180])).
% 58.13/9.48 tff(f42180,plain,(
% 58.13/9.48 ! [X0 : fun(int,$o)] : (? [X1 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != X1 & ($true = aa(int,$o,X0,X1))) => (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),times_times(int),sK4080(X0)),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != sK4080(X0) & ($true = aa(int,$o,X0,sK4080(X0)))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42179,plain,(
% 58.13/9.48 ! [X0 : fun(int,$o)] : (? [X1 : int] : (($true != aa(int,$o,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 & ($true = aa(int,$o,X0,X1))) | ~sP2093(X0))),
% 58.13/9.48 inference(rectify,[],[f42178])).
% 58.13/9.48 tff(f42178,plain,(
% 58.13/9.48 ! [X0 : fun(int,$o)] : (? [X2 : int] : (($true != aa(int,$o,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X2),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != X2 & ($true = aa(int,$o,X0,X2))) | ~sP2093(X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37349])).
% 58.13/9.48 tff(f37349,plain,(
% 58.13/9.48 ! [X0 : fun(int,$o)] : (? [X2 : int] : (($true != aa(int,$o,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 & ($true = aa(int,$o,X0,X2))) | ~sP2093(X0))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2093])])).
% 58.13/9.48 tff(f96707,plain,(
% 58.13/9.48 spl5880_3200),
% 58.13/9.48 inference(avatar_split_clause,[],[f58841,f96705])).
% 58.13/9.48 tff(f58841,plain,(
% 58.13/9.48 ( ! [X0 : fun(real,$o)] : (($true != aa(real,$o,X0,sK4069(X0))) | ~sP2092(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42157])).
% 58.13/9.48 tff(f96703,plain,(
% 58.13/9.48 spl5880_3199),
% 58.13/9.48 inference(avatar_split_clause,[],[f58840,f96701])).
% 58.13/9.48 tff(f96701,plain,(
% 58.13/9.48 spl5880_3199 <=> ! [X0 : fun(real,$o)] : (($true = aa(real,$o,X0,sK4068(X0))) | ~sP2092(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3199])])).
% 58.13/9.48 tff(f58840,plain,(
% 58.13/9.48 ( ! [X0 : fun(real,$o)] : (($true = aa(real,$o,X0,sK4068(X0))) | ~sP2092(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42157])).
% 58.13/9.48 tff(f96699,plain,(
% 58.13/9.48 spl5880_3198),
% 58.13/9.48 inference(avatar_split_clause,[],[f58751,f96697])).
% 58.13/9.48 tff(f96697,plain,(
% 58.13/9.48 spl5880_3198 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG925(sK3977(X1))) = X1 | ~sP2082(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3198])])).
% 58.13/9.48 tff(f58751,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG925(sK3977(X1))) = X1 | ~sP2082(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42035])).
% 58.13/9.48 tff(f42035,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & vEBT_Leaf($true,bG925(sK3977(X1))) = X1) | ~sP2082(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3977])],[f42033,f42034])).
% 58.13/9.48 tff(f42034,plain,(
% 58.13/9.48 ! [X1 : vEBT_VEBT] : (? [X2 : $o] : vEBT_Leaf($true,bG925(X2)) = X1 => vEBT_Leaf($true,bG925(sK3977(X1))) = X1)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42033,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & ? [X2 : $o] : vEBT_Leaf($true,bG925(X2)) = X1) | ~sP2082(X0,X1))),
% 58.13/9.48 inference(rectify,[],[f42032])).
% 58.13/9.48 tff(f42032,plain,(
% 58.13/9.48 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true != X1) & ? [X2 : $o] : vEBT_Leaf($true,bG925(X2)) = X0) | ~sP2082(X1,X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37334])).
% 58.13/9.48 tff(f37334,plain,(
% 58.13/9.48 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true != X1) & ? [X2 : $o] : vEBT_Leaf($true,bG925(X2)) = X0) | ~sP2082(X1,X0))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2082])])).
% 58.13/9.48 tff(f96695,plain,(
% 58.13/9.48 spl5880_3197),
% 58.13/9.48 inference(avatar_split_clause,[],[f58749,f96693])).
% 58.13/9.48 tff(f96693,plain,(
% 58.13/9.48 spl5880_3197 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG926(sK3976(X1)),$true) = X1 | ~sP2083(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3197])])).
% 58.13/9.48 tff(f58749,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf(bG926(sK3976(X1)),$true) = X1 | ~sP2083(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f42031])).
% 58.13/9.48 tff(f42031,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & vEBT_Leaf(bG926(sK3976(X1)),$true) = X1) | ~sP2083(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3976])],[f42029,f42030])).
% 58.13/9.48 tff(f42030,plain,(
% 58.13/9.48 ! [X1 : vEBT_VEBT] : (? [X2 : $o] : vEBT_Leaf(bG926(X2),$true) = X1 => vEBT_Leaf(bG926(sK3976(X1)),$true) = X1)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f42029,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true != X0) & ? [X2 : $o] : vEBT_Leaf(bG926(X2),$true) = X1) | ~sP2083(X0,X1))),
% 58.13/9.48 inference(rectify,[],[f42028])).
% 58.13/9.48 tff(f42028,plain,(
% 58.13/9.48 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true != X1) & ? [X3 : $o] : vEBT_Leaf(bG926(X3),$true) = X0) | ~sP2083(X1,X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37335])).
% 58.13/9.48 tff(f37335,plain,(
% 58.13/9.48 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true != X1) & ? [X3 : $o] : vEBT_Leaf(bG926(X3),$true) = X0) | ~sP2083(X1,X0))),
% 58.13/9.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2083])])).
% 58.13/9.48 tff(f96691,plain,(
% 58.13/9.48 spl5880_3196),
% 58.13/9.48 inference(avatar_split_clause,[],[f58150,f96689])).
% 58.13/9.48 tff(f96689,plain,(
% 58.13/9.48 spl5880_3196 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG877(sK3746(X1))) = X1 | ~sP2045(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3196])])).
% 58.13/9.48 tff(f58150,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($true,bG877(sK3746(X1))) = X1 | ~sP2045(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41635])).
% 58.13/9.48 tff(f41635,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Leaf($true,bG877(sK3746(X1))) = X1) | ~sP2045(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3746])],[f41633,f41634])).
% 58.13/9.48 tff(f41634,plain,(
% 58.13/9.48 ! [X1 : vEBT_VEBT] : (? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X1 => vEBT_Leaf($true,bG877(sK3746(X1))) = X1)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41633,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X1) | ~sP2045(X0,X1))),
% 58.13/9.48 inference(rectify,[],[f41632])).
% 58.13/9.48 tff(f41632,plain,(
% 58.13/9.48 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & ? [X2 : $o] : vEBT_Leaf($true,bG877(X2)) = X0) | ~sP2045(X1,X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37275])).
% 58.13/9.48 tff(f96687,plain,(
% 58.13/9.48 spl5880_3195),
% 58.13/9.48 inference(avatar_split_clause,[],[f58148,f96685])).
% 58.13/9.48 tff(f96685,plain,(
% 58.13/9.48 spl5880_3195 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG878(sK3745(X1)),$true) = X1 | ~sP2046(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3195])])).
% 58.13/9.48 tff(f58148,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(bG878(sK3745(X1)),$true) = X1 | ~sP2046(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41631])).
% 58.13/9.48 tff(f41631,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Leaf(bG878(sK3745(X1)),$true) = X1) | ~sP2046(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3745])],[f41629,f41630])).
% 58.13/9.48 tff(f41630,plain,(
% 58.13/9.48 ! [X1 : vEBT_VEBT] : (? [X2 : $o] : vEBT_Leaf(bG878(X2),$true) = X1 => vEBT_Leaf(bG878(sK3745(X1)),$true) = X1)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41629,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : $o] : vEBT_Leaf(bG878(X2),$true) = X1) | ~sP2046(X0,X1))),
% 58.13/9.48 inference(rectify,[],[f41628])).
% 58.13/9.48 tff(f41628,plain,(
% 58.13/9.48 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & ? [X3 : $o] : vEBT_Leaf(bG878(X3),$true) = X0) | ~sP2046(X1,X0))),
% 58.13/9.48 inference(nnf_transformation,[],[f37276])).
% 58.13/9.48 tff(f96683,plain,(
% 58.13/9.48 spl5880_3194),
% 58.13/9.48 inference(avatar_split_clause,[],[f58094,f96681])).
% 58.13/9.48 tff(f96681,plain,(
% 58.13/9.48 spl5880_3194 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,nat,sK3711(X0,X1),X1) | ~finite_finite(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3194])])).
% 58.13/9.48 tff(f58094,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,nat,sK3711(X0,X1),X1) | ~finite_finite(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41593])).
% 58.13/9.48 tff(f41593,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(X0)] : ((inj_on(X0,nat,sK3711(X0,X1),X1) & aa(set(X0),set(nat),image(X0,nat,sK3711(X0,X1)),X1) = aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),sK3712(X0,X1)))) | ~finite_finite(X0,X1))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3711,sK3712])],[f33764,f41592])).
% 58.13/9.48 tff(f41592,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & aa(set(X0),set(nat),image(X0,nat,X2),X1) = aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),X3))) => (inj_on(X0,nat,sK3711(X0,X1),X1) & aa(set(X0),set(nat),image(X0,nat,sK3711(X0,X1)),X1) = aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),sK3712(X0,X1)))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f33764,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & aa(set(X0),set(nat),image(X0,nat,X2),X1) = aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),X3))) | ~finite_finite(X0,X1))),
% 58.13/9.48 inference(ennf_transformation,[],[f25962])).
% 58.13/9.48 tff(f25962,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : set(X0)] : (finite_finite(X0,X1) => ? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & aa(set(X0),set(nat),image(X0,nat,X2),X1) = aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),X3))))),
% 58.13/9.48 inference(rectify,[],[f6994])).
% 58.13/9.48 tff(f6994,axiom,(
% 58.13/9.48 ! [X0 : $tType,X27 : set(X0)] : (finite_finite(X0,X27) => ? [X118 : fun(X0,nat),X34 : nat] : (inj_on(X0,nat,X118,X27) & aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_am(nat,fun(nat,$o)),X34)) = aa(set(X0),set(nat),image(X0,nat,X118),X27)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6993_finite__imp__inj__to__nat__seg)).
% 58.13/9.48 tff(f96679,plain,(
% 58.13/9.48 spl5880_3193),
% 58.13/9.48 inference(avatar_split_clause,[],[f58063,f96677])).
% 58.13/9.48 tff(f96677,plain,(
% 58.13/9.48 spl5880_3193 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3698(X0,X1) = sK3700(X0,X1) | ~sP2036(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3193])])).
% 58.13/9.48 tff(f58063,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3698(X0,X1) = sK3700(X0,X1) | ~sP2036(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41566])).
% 58.13/9.48 tff(f96675,plain,(
% 58.13/9.48 spl5880_3192),
% 58.13/9.48 inference(avatar_split_clause,[],[f58061,f96673])).
% 58.13/9.48 tff(f96673,plain,(
% 58.13/9.48 spl5880_3192 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3699(X0,X1),sK3700(X0,X1)) | ~sP2036(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3192])])).
% 58.13/9.48 tff(f58061,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3699(X0,X1),sK3700(X0,X1)) | ~sP2036(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41566])).
% 58.13/9.48 tff(f96671,plain,(
% 58.13/9.48 spl5880_3191),
% 58.13/9.48 inference(avatar_split_clause,[],[f58052,f96669])).
% 58.13/9.48 tff(f96669,plain,(
% 58.13/9.48 spl5880_3191 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3694(X0,X1),sK3695(X0,X1)) | ~sP2037(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3191])])).
% 58.13/9.48 tff(f58052,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3694(X0,X1),sK3695(X0,X1)) | ~sP2037(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41562])).
% 58.13/9.48 tff(f96667,plain,(
% 58.13/9.48 spl5880_3190),
% 58.13/9.48 inference(avatar_split_clause,[],[f58042,f96665])).
% 58.13/9.48 tff(f96665,plain,(
% 58.13/9.48 spl5880_3190 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3686(X0,X1) = sK3688(X0,X1) | ~sP2038(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3190])])).
% 58.13/9.48 tff(f58042,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3686(X0,X1) = sK3688(X0,X1) | ~sP2038(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41558])).
% 58.13/9.48 tff(f96663,plain,(
% 58.13/9.48 spl5880_3189),
% 58.13/9.48 inference(avatar_split_clause,[],[f58040,f96661])).
% 58.13/9.48 tff(f96661,plain,(
% 58.13/9.48 spl5880_3189 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3687(X0,X1),sK3688(X0,X1)) | ~sP2038(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3189])])).
% 58.13/9.48 tff(f58040,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3687(X0,X1),sK3688(X0,X1)) | ~sP2038(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41558])).
% 58.13/9.48 tff(f96659,plain,(
% 58.13/9.48 spl5880_3188),
% 58.13/9.48 inference(avatar_split_clause,[],[f58028,f96657])).
% 58.13/9.48 tff(f96657,plain,(
% 58.13/9.48 spl5880_3188 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3680(X0,X1),sK3681(X0,X1)) | ~sP2039(X0,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3188])])).
% 58.13/9.48 tff(f58028,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK3680(X0,X1),sK3681(X0,X1)) | ~sP2039(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41554])).
% 58.13/9.48 tff(f96655,plain,(
% 58.13/9.48 spl5880_3187),
% 58.13/9.48 inference(avatar_split_clause,[],[f57609,f96653])).
% 58.13/9.48 tff(f96653,plain,(
% 58.13/9.48 spl5880_3187 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3187])])).
% 58.13/9.48 tff(f57609,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f33465])).
% 58.13/9.48 tff(f33465,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (($true != aa(nat,$o,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f25833])).
% 58.13/9.48 tff(f25833,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_minNull(X0) => ($true != aa(nat,$o,vEBT_vebt_member(X0),X1)))),
% 58.13/9.48 inference(flattening,[],[f15116])).
% 58.13/9.48 tff(f15116,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_minNull(X0) => ~($true = aa(nat,$o,vEBT_vebt_member(X0),X1)))),
% 58.13/9.48 inference(fool_elimination,[],[f15115])).
% 58.13/9.48 tff(f15115,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_minNull(X0) => ~aa(nat,$o,vEBT_vebt_member(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f664])).
% 58.13/9.48 tff(f664,axiom,(
% 58.13/9.48 ! [X7 : vEBT_VEBT,X9 : nat] : (vEBT_VEBT_minNull(X7) => ~aa(nat,$o,vEBT_vebt_member(X7),X9))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_663_min__Null__member)).
% 58.13/9.48 tff(f96651,plain,(
% 58.13/9.48 spl5880_3186),
% 58.13/9.48 inference(avatar_split_clause,[],[f56708,f96649])).
% 58.13/9.48 tff(f56708,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : list(X0)] : (finite_finite(X0,aa(list(X0),set(X0),set2(X0),X1))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f25261])).
% 58.13/9.48 tff(f25261,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : list(X0)] : finite_finite(X0,aa(list(X0),set(X0),set2(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f1787])).
% 58.13/9.48 tff(f1787,axiom,(
% 58.13/9.48 ! [X0 : $tType,X64 : list(X0)] : finite_finite(X0,aa(list(X0),set(X0),set2(X0),X64))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1786_List_Ofinite__set)).
% 58.13/9.48 tff(f96647,plain,(
% 58.13/9.48 spl5880_3185),
% 58.13/9.48 inference(avatar_split_clause,[],[f55491,f96645])).
% 58.13/9.48 tff(f96645,plain,(
% 58.13/9.48 spl5880_3185 <=> ! [X3 : $tType,X0 : list(X3),X2 : fun(list(X3),fun(list(X3),$o)),X1 : list(X3)] : (sP1983(X3,X0,X1,X2) | ~sP1981(X3,X2,X1,X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3185])])).
% 58.13/9.48 tff(f55491,plain,(
% 58.13/9.48 ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),$o)),X0 : list(X3),X1 : list(X3)] : (sP1983(X3,X0,X1,X2) | ~sP1981(X3,X2,X1,X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f40290])).
% 58.13/9.48 tff(f96643,plain,(
% 58.13/9.48 spl5880_3184),
% 58.13/9.48 inference(avatar_split_clause,[],[f54944,f96641])).
% 58.13/9.48 tff(f96641,plain,(
% 58.13/9.48 spl5880_3184 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (sorted_wrt(X0,ord_less_eq(X0),replicate(X0,X1,X2)) | ~linorder(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3184])])).
% 58.13/9.48 tff(f54944,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : nat] : (sorted_wrt(X0,ord_less_eq(X0),replicate(X0,X1,X2)) | ~linorder(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31647])).
% 58.13/9.48 tff(f31647,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : sorted_wrt(X0,ord_less_eq(X0),replicate(X0,X1,X2)) | ~linorder(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24846])).
% 58.13/9.48 tff(f24846,plain,(
% 58.13/9.48 ! [X0 : $tType] : (linorder(X0) => ! [X1 : nat,X2 : X0] : sorted_wrt(X0,ord_less_eq(X0),replicate(X0,X1,X2)))),
% 58.13/9.48 inference(rectify,[],[f8054])).
% 58.13/9.48 tff(f8054,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (linorder(X0) => ! [X8 : nat,X9 : X0] : sorted_wrt(X0,ord_less_eq(X0),replicate(X0,X8,X9)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8053_sorted__replicate)).
% 58.13/9.48 tff(f96639,plain,(
% 58.13/9.48 spl5880_3183),
% 58.13/9.48 inference(avatar_split_clause,[],[f54912,f96637])).
% 58.13/9.48 tff(f96637,plain,(
% 58.13/9.48 spl5880_3183 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3183])])).
% 58.13/9.48 tff(f54912,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39993])).
% 58.13/9.48 tff(f96635,plain,(
% 58.13/9.48 spl5880_3182),
% 58.13/9.48 inference(avatar_split_clause,[],[f54895,f96633])).
% 58.13/9.48 tff(f96633,plain,(
% 58.13/9.48 spl5880_3182 <=> ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK2853(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3182])])).
% 58.13/9.48 tff(f54895,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK2853(X0,X1)) | ~finite_finite(X0,X1) | ~linorder(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39979])).
% 58.13/9.48 tff(f96631,plain,(
% 58.13/9.48 spl5880_3181),
% 58.13/9.48 inference(avatar_split_clause,[],[f54555,f96629])).
% 58.13/9.48 tff(f96629,plain,(
% 58.13/9.48 spl5880_3181 <=> ! [X0 : $tType] : (inj_on(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3181])])).
% 58.13/9.48 tff(f54555,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (inj_on(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_char_0(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31284])).
% 58.13/9.48 tff(f31284,plain,(
% 58.13/9.48 ! [X0 : $tType] : (inj_on(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_char_0(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f6990])).
% 58.13/9.48 tff(f6990,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_char_0(X0) => inj_on(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6989_inj__of__nat)).
% 58.13/9.48 tff(f96627,plain,(
% 58.13/9.48 spl5880_3180),
% 58.13/9.48 inference(avatar_split_clause,[],[f54410,f96625])).
% 58.13/9.48 tff(f96625,plain,(
% 58.13/9.48 spl5880_3180 <=> ! [X1 : $tType,X2 : X1,X0 : fun(nat,X1)] : (sP1958(X1,X0,X2) | topolo1002775350975398744n_open(X1,sK2824(X1,X0,X2)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3180])])).
% 58.13/9.48 tff(f54410,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X2 : X1,X0 : fun(nat,X1)] : (sP1958(X1,X0,X2) | topolo1002775350975398744n_open(X1,sK2824(X1,X0,X2))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39895])).
% 58.13/9.48 tff(f96623,plain,(
% 58.13/9.48 spl5880_3179),
% 58.13/9.48 inference(avatar_split_clause,[],[f54182,f96621])).
% 58.13/9.48 tff(f96621,plain,(
% 58.13/9.48 spl5880_3179 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3179])])).
% 58.13/9.48 tff(f54182,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f30991])).
% 58.13/9.48 tff(f30991,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24493])).
% 58.13/9.48 tff(f24493,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f872])).
% 58.13/9.48 tff(f872,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_divide(X0) => ! [X11 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_871_div__0)).
% 58.13/9.48 tff(f96619,plain,(
% 58.13/9.48 spl5880_3178),
% 58.13/9.48 inference(avatar_split_clause,[],[f54181,f96617])).
% 58.13/9.48 tff(f96617,plain,(
% 58.13/9.48 spl5880_3178 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3178])])).
% 58.13/9.48 tff(f54181,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f30990])).
% 58.13/9.48 tff(f30990,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24492])).
% 58.13/9.48 tff(f24492,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 58.13/9.48 inference(rectify,[],[f871])).
% 58.13/9.48 tff(f871,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_divide(X0) => ! [X11 : X0] : zero_zero(X0) = divide_divide(X0,X11,zero_zero(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_870_div__by__0)).
% 58.13/9.48 tff(f96615,plain,(
% 58.13/9.48 spl5880_3177),
% 58.13/9.48 inference(avatar_split_clause,[],[f53991,f96613])).
% 58.13/9.48 tff(f96613,plain,(
% 58.13/9.48 spl5880_3177 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3177])])).
% 58.13/9.48 tff(f53991,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f30829])).
% 58.13/9.48 tff(f30829,plain,(
% 58.13/9.48 ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f7068])).
% 58.13/9.48 tff(f7068,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7067_not__iszero__Numeral1)).
% 58.13/9.48 tff(f96611,plain,(
% 58.13/9.48 spl5880_3176),
% 58.13/9.48 inference(avatar_split_clause,[],[f53667,f96609])).
% 58.13/9.48 tff(f96609,plain,(
% 58.13/9.48 spl5880_3176 <=> ! [X0 : $tType,X1 : num] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3176])])).
% 58.13/9.48 tff(f53667,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : num] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f30520])).
% 58.13/9.48 tff(f30520,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24213])).
% 58.13/9.48 tff(f24213,plain,(
% 58.13/9.48 ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 58.13/9.48 inference(rectify,[],[f7075])).
% 58.13/9.48 tff(f7075,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (ring_char_0(X0) => ! [X20 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X20)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7074_not__iszero__numeral)).
% 58.13/9.48 tff(f96607,plain,(
% 58.13/9.48 spl5880_3175),
% 58.13/9.48 inference(avatar_split_clause,[],[f52603,f96605])).
% 58.13/9.48 tff(f96605,plain,(
% 58.13/9.48 spl5880_3175 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,X1) = iG427(X0,X1) | ~division_ring(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3175])])).
% 58.13/9.48 tff(f52603,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,X1) = iG427(X0,X1) | ~division_ring(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29768])).
% 58.13/9.48 tff(f29768,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,X1) = iG427(X0,X1) | ~division_ring(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f11264])).
% 58.13/9.48 tff(f11264,plain,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : divide_divide(X0,X1,X1) = iG427(X0,X1))),
% 58.13/9.48 inference(fool_elimination,[],[f11262,f11263])).
% 58.13/9.48 tff(f11263,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG427(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG427(X0,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG427])])).
% 58.13/9.48 tff(f11262,plain,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : divide_divide(X0,X1,X1) = $ite(zero_zero(X0) = X1, zero_zero(X0),one_one(X0)))),
% 58.13/9.48 inference(rectify,[],[f944])).
% 58.13/9.48 tff(f944,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : divide_divide(X0,X11,X11) = $ite(zero_zero(X0) = X11, zero_zero(X0),one_one(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_943_divide__self__if)).
% 58.13/9.48 tff(f96603,plain,(
% 58.13/9.48 spl5880_3174),
% 58.13/9.48 inference(avatar_split_clause,[],[f52595,f96601])).
% 58.13/9.48 tff(f96601,plain,(
% 58.13/9.48 spl5880_3174 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3174])])).
% 58.13/9.48 tff(f52595,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29760])).
% 58.13/9.48 tff(f29760,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23931])).
% 58.13/9.48 tff(f23931,plain,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 58.13/9.48 inference(rectify,[],[f875])).
% 58.13/9.48 tff(f875,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X11 : X0] : zero_zero(X0) = divide_divide(X0,X11,zero_zero(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_874_division__ring__divide__zero)).
% 58.13/9.48 tff(f96599,plain,(
% 58.13/9.48 spl5880_3173),
% 58.13/9.48 inference(avatar_split_clause,[],[f52594,f96597])).
% 58.13/9.48 tff(f96597,plain,(
% 58.13/9.48 spl5880_3173 <=> ! [X0 : $tType,X1 : int] : (one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3173])])).
% 58.13/9.48 tff(f52594,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : int] : (one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29759])).
% 58.13/9.48 tff(f29759,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : int] : one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23930])).
% 58.13/9.48 tff(f23930,plain,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : int] : one_one(X0) = power_int(X0,one_one(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f7012])).
% 58.13/9.48 tff(f7012,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (division_ring(X0) => ! [X8 : int] : one_one(X0) = power_int(X0,one_one(X0),X8))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7011_power__int__1__left)).
% 58.13/9.48 tff(f96595,plain,(
% 58.13/9.48 spl5880_3172),
% 58.13/9.48 inference(avatar_split_clause,[],[f52459,f96593])).
% 58.13/9.48 tff(f96593,plain,(
% 58.13/9.48 spl5880_3172 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | zero_zero(X0) = X1 | ~field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3172])])).
% 58.13/9.48 tff(f52459,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | zero_zero(X0) = X1 | ~field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f39296])).
% 58.13/9.48 tff(f96591,plain,(
% 58.13/9.48 spl5880_3171),
% 58.13/9.48 inference(avatar_split_clause,[],[f52119,f96589])).
% 58.13/9.48 tff(f96589,plain,(
% 58.13/9.48 spl5880_3171 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3171])])).
% 58.13/9.48 tff(f52119,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29353])).
% 58.13/9.48 tff(f29353,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23641])).
% 58.13/9.48 tff(f23641,plain,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f874])).
% 58.13/9.48 tff(f874,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_873_bits__div__0)).
% 58.13/9.48 tff(f96587,plain,(
% 58.13/9.48 spl5880_3170),
% 58.13/9.48 inference(avatar_split_clause,[],[f52118,f96585])).
% 58.13/9.48 tff(f96585,plain,(
% 58.13/9.48 spl5880_3170 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3170])])).
% 58.13/9.48 tff(f52118,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29352])).
% 58.13/9.48 tff(f29352,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23640])).
% 58.13/9.48 tff(f23640,plain,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 58.13/9.48 inference(rectify,[],[f873])).
% 58.13/9.48 tff(f873,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0] : zero_zero(X0) = divide_divide(X0,X11,zero_zero(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_872_bits__div__by__0)).
% 58.13/9.48 tff(f96583,plain,(
% 58.13/9.48 spl5880_3169),
% 58.13/9.48 inference(avatar_split_clause,[],[f52117,f96581])).
% 58.13/9.48 tff(f96581,plain,(
% 58.13/9.48 spl5880_3169 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3169])])).
% 58.13/9.48 tff(f52117,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29351])).
% 58.13/9.48 tff(f29351,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23639])).
% 58.13/9.48 tff(f23639,plain,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f882])).
% 58.13/9.48 tff(f882,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_881_bits__mod__0)).
% 58.13/9.48 tff(f96579,plain,(
% 58.13/9.48 spl5880_3168),
% 58.13/9.48 inference(avatar_split_clause,[],[f52116,f96577])).
% 58.13/9.48 tff(f96577,plain,(
% 58.13/9.48 spl5880_3168 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3168])])).
% 58.13/9.48 tff(f52116,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29350])).
% 58.13/9.48 tff(f29350,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23638])).
% 58.13/9.48 tff(f23638,plain,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)))),
% 58.13/9.48 inference(rectify,[],[f953])).
% 58.13/9.48 tff(f953,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,X11,one_one(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_952_bits__mod__by__1)).
% 58.13/9.48 tff(f96575,plain,(
% 58.13/9.48 spl5880_3167),
% 58.13/9.48 inference(avatar_split_clause,[],[f52028,f96573])).
% 58.13/9.48 tff(f96573,plain,(
% 58.13/9.48 spl5880_3167 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3167])])).
% 58.13/9.48 tff(f52028,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29287])).
% 58.13/9.48 tff(f29287,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23591])).
% 58.13/9.48 tff(f23591,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f879])).
% 58.13/9.48 tff(f879,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_878_mod__0)).
% 58.13/9.48 tff(f96571,plain,(
% 58.13/9.48 spl5880_3166),
% 58.13/9.48 inference(avatar_split_clause,[],[f52027,f96569])).
% 58.13/9.48 tff(f96569,plain,(
% 58.13/9.48 spl5880_3166 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3166])])).
% 58.13/9.48 tff(f52027,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29286])).
% 58.13/9.48 tff(f29286,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23590])).
% 58.13/9.48 tff(f23590,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)))),
% 58.13/9.48 inference(rectify,[],[f952])).
% 58.13/9.48 tff(f952,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,X11,one_one(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_951_mod__by__1)).
% 58.13/9.48 tff(f96567,plain,(
% 58.13/9.48 spl5880_3165),
% 58.13/9.48 inference(avatar_split_clause,[],[f51718,f96565])).
% 58.13/9.48 tff(f96565,plain,(
% 58.13/9.48 spl5880_3165 <=> ! [X0 : $tType,X1 : filter(X0)] : (has_field_derivative(X0,aTP_Lamp_nr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3165])])).
% 58.13/9.48 tff(f51718,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : filter(X0)] : (has_field_derivative(X0,aTP_Lamp_nr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28996])).
% 58.13/9.48 tff(f28996,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_nr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23406])).
% 58.13/9.48 tff(f23406,plain,(
% 58.13/9.48 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_nr(X0,X0),one_one(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f6025])).
% 58.13/9.48 tff(f6025,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X214 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_nr(X0,X0),one_one(X0),X214))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6024_DERIV__ident)).
% 58.13/9.48 tff(f96563,plain,(
% 58.13/9.48 spl5880_3164),
% 58.13/9.48 inference(avatar_split_clause,[],[f50803,f96561])).
% 58.13/9.48 tff(f96561,plain,(
% 58.13/9.48 spl5880_3164 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = gcd_gcd(X0,one_one(X0),X1) | ~semiring_gcd(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3164])])).
% 58.13/9.48 tff(f50803,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = gcd_gcd(X0,one_one(X0),X1) | ~semiring_gcd(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28274])).
% 58.13/9.48 tff(f28274,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = gcd_gcd(X0,one_one(X0),X1) | ~semiring_gcd(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23157])).
% 58.13/9.48 tff(f23157,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : one_one(X0) = gcd_gcd(X0,one_one(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f5611])).
% 58.13/9.48 tff(f5611,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X11 : X0] : one_one(X0) = gcd_gcd(X0,one_one(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5610_gcd_Obottom__left__bottom)).
% 58.13/9.48 tff(f96559,plain,(
% 58.13/9.48 spl5880_3163),
% 58.13/9.48 inference(avatar_split_clause,[],[f50802,f96557])).
% 58.13/9.48 tff(f96557,plain,(
% 58.13/9.48 spl5880_3163 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = gcd_gcd(X0,X1,one_one(X0)) | ~semiring_gcd(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3163])])).
% 58.13/9.48 tff(f50802,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = gcd_gcd(X0,X1,one_one(X0)) | ~semiring_gcd(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28273])).
% 58.13/9.48 tff(f28273,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = gcd_gcd(X0,X1,one_one(X0)) | ~semiring_gcd(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23156])).
% 58.13/9.48 tff(f23156,plain,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : one_one(X0) = gcd_gcd(X0,X1,one_one(X0)))),
% 58.13/9.48 inference(rectify,[],[f5610])).
% 58.13/9.48 tff(f5610,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_gcd(X0) => ! [X11 : X0] : one_one(X0) = gcd_gcd(X0,X11,one_one(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5609_gcd_Obottom__right__bottom)).
% 58.13/9.48 tff(f96555,plain,(
% 58.13/9.48 spl5880_3162),
% 58.13/9.48 inference(avatar_split_clause,[],[f50770,f96553])).
% 58.13/9.48 tff(f96553,plain,(
% 58.13/9.48 spl5880_3162 <=> ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3162])])).
% 58.13/9.48 tff(f50770,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28244])).
% 58.13/9.48 tff(f28244,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f7146])).
% 58.13/9.48 tff(f7146,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_Gcd(X0) => one_one(X0) = gcd_Gcd(X0,top_top(set(X0))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7145_Gcd__UNIV)).
% 58.13/9.48 tff(f96551,plain,(
% 58.13/9.48 spl5880_3161),
% 58.13/9.48 inference(avatar_split_clause,[],[f50668,f96549])).
% 58.13/9.48 tff(f96549,plain,(
% 58.13/9.48 spl5880_3161 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3161])])).
% 58.13/9.48 tff(f50668,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28163])).
% 58.13/9.48 tff(f28163,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23134])).
% 58.13/9.48 tff(f23134,plain,(
% 58.13/9.48 ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : one_one(X0) = powr(X0,one_one(X0),X1))),
% 58.13/9.48 inference(rectify,[],[f3482])).
% 58.13/9.48 tff(f3482,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (ln(X0) => ! [X11 : X0] : one_one(X0) = powr(X0,one_one(X0),X11))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3481_powr__one__eq__one)).
% 58.13/9.48 tff(f96547,plain,(
% 58.13/9.48 spl5880_3160),
% 58.13/9.48 inference(avatar_split_clause,[],[f50256,f96545])).
% 58.13/9.48 tff(f96545,plain,(
% 58.13/9.48 spl5880_3160 <=> ! [X0 : real] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),sqrt)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3160])])).
% 58.13/9.48 tff(f50256,plain,(
% 58.13/9.48 ( ! [X0 : real] : (topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),sqrt)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22787])).
% 58.13/9.48 tff(f22787,plain,(
% 58.13/9.48 ! [X0 : real] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X0,top_top(set(real))),sqrt)),
% 58.13/9.48 inference(rectify,[],[f6219])).
% 58.13/9.48 tff(f6219,axiom,(
% 58.13/9.48 ! [X9 : real] : topolo3448309680560233919inuous(real,real,topolo174197925503356063within(real,X9,top_top(set(real))),sqrt)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6218_isCont__real__sqrt)).
% 58.13/9.48 tff(f96543,plain,(
% 58.13/9.48 spl5880_3159),
% 58.13/9.48 inference(avatar_split_clause,[],[f50251,f96541])).
% 58.13/9.48 tff(f50251,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (zero_zero(real) = aa(real,real,root(X0),zero_zero(real))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22782])).
% 58.13/9.48 tff(f22782,plain,(
% 58.13/9.48 ! [X0 : nat] : zero_zero(real) = aa(real,real,root(X0),zero_zero(real))),
% 58.13/9.48 inference(rectify,[],[f4565])).
% 58.13/9.48 tff(f4565,axiom,(
% 58.13/9.48 ! [X8 : nat] : zero_zero(real) = aa(real,real,root(X8),zero_zero(real))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4564_real__root__zero)).
% 58.13/9.48 tff(f96539,plain,(
% 58.13/9.48 spl5880_3158),
% 58.13/9.48 inference(avatar_split_clause,[],[f50250,f96537])).
% 58.13/9.48 tff(f96537,plain,(
% 58.13/9.48 spl5880_3158 <=> ! [X0 : num] : zero_zero(real) = im(aa(num,complex,numeral_numeral(complex),X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3158])])).
% 58.13/9.48 tff(f50250,plain,(
% 58.13/9.48 ( ! [X0 : num] : (zero_zero(real) = im(aa(num,complex,numeral_numeral(complex),X0))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22781])).
% 58.13/9.48 tff(f22781,plain,(
% 58.13/9.48 ! [X0 : num] : zero_zero(real) = im(aa(num,complex,numeral_numeral(complex),X0))),
% 58.13/9.48 inference(rectify,[],[f5234])).
% 58.13/9.48 tff(f5234,axiom,(
% 58.13/9.48 ! [X16 : num] : zero_zero(real) = im(aa(num,complex,numeral_numeral(complex),X16))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5233_complex__Im__numeral)).
% 58.13/9.48 tff(f96534,plain,(
% 58.13/9.48 spl5880_3157),
% 58.13/9.48 inference(avatar_split_clause,[],[f49172,f96532])).
% 58.13/9.48 tff(f49172,plain,(
% 58.13/9.48 ( ! [X1 : complex] : (one_one(real) = iG308(X1) | zero_zero(real) != im(X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28103])).
% 58.13/9.48 tff(f96529,plain,(
% 58.13/9.48 spl5880_3156),
% 58.13/9.48 inference(avatar_split_clause,[],[f49166,f96527])).
% 58.13/9.48 tff(f49166,plain,(
% 58.13/9.48 ( ! [X1 : complex] : (one_one(real) = iG311(X1) | zero_zero(real) != im(X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28100])).
% 58.13/9.48 tff(f96525,plain,(
% 58.13/9.48 spl5880_3155),
% 58.13/9.48 inference(avatar_split_clause,[],[f49097,f96523])).
% 58.13/9.48 tff(f96523,plain,(
% 58.13/9.48 spl5880_3155 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG348(X0,X1) | zero_zero(X0) = X1)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3155])])).
% 58.13/9.48 tff(f49097,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG348(X0,X1) | zero_zero(X0) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28084])).
% 58.13/9.48 tff(f28084,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG348(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG348(X2,X3) | zero_zero(X2) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22618])).
% 58.13/9.48 tff(f22618,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG348(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG348(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22617])).
% 58.13/9.48 tff(f22617,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG348(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG348(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f10050])).
% 58.13/9.48 tff(f96520,plain,(
% 58.13/9.48 spl5880_3154),
% 58.13/9.48 inference(avatar_split_clause,[],[f48988,f96518])).
% 58.13/9.48 tff(f48988,plain,(
% 58.13/9.48 ( ! [X1 : $tType,X0 : X1] : (one_one(real) = iG403(X1,X0) | zero_zero(X1) = X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28030])).
% 58.13/9.48 tff(f28030,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType] : (one_one(real) = iG403(X1,X0) | zero_zero(X1) = X0) & ! [X2 : X3,X3 : $tType] : (zero_zero(real) = iG403(X3,X2) | zero_zero(X3) != X2)),
% 58.13/9.48 inference(ennf_transformation,[],[f22510])).
% 58.13/9.48 tff(f22510,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 => one_one(real) = iG403(X1,X0)) & ! [X2 : X3,X3 : $tType] : (zero_zero(X3) = X2 => zero_zero(real) = iG403(X3,X2))),
% 58.13/9.48 inference(flattening,[],[f22509])).
% 58.13/9.48 tff(f22509,plain,(
% 58.13/9.48 ! [X0 : X1,X1 : $tType] : (~zero_zero(X1) = X0 => one_one(real) = iG403(X1,X0)) & ! [X2 : X3,X3 : $tType] : (zero_zero(X3) = X2 => zero_zero(real) = iG403(X3,X2))),
% 58.13/9.48 inference(rectify,[],[f10977])).
% 58.13/9.48 tff(f96516,plain,(
% 58.13/9.48 spl5880_3153),
% 58.13/9.48 inference(avatar_split_clause,[],[f48938,f96514])).
% 58.13/9.48 tff(f96514,plain,(
% 58.13/9.48 spl5880_3153 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG427(X0,X1) | zero_zero(X0) = X1)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3153])])).
% 58.13/9.48 tff(f48938,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG427(X0,X1) | zero_zero(X0) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28016])).
% 58.13/9.48 tff(f28016,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG427(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG427(X2,X3) | zero_zero(X2) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22474])).
% 58.13/9.48 tff(f22474,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG427(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG427(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22473])).
% 58.13/9.48 tff(f22473,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG427(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG427(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f11263])).
% 58.13/9.48 tff(f96512,plain,(
% 58.13/9.48 spl5880_3152),
% 58.13/9.48 inference(avatar_split_clause,[],[f48936,f96510])).
% 58.13/9.48 tff(f96510,plain,(
% 58.13/9.48 spl5880_3152 <=> ! [X0 : $tType,X1 : int] : (zero_zero(X0) = iG428(X0,X1) | zero_zero(int) = X1)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3152])])).
% 58.13/9.48 tff(f48936,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : int] : (zero_zero(X0) = iG428(X0,X1) | zero_zero(int) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28015])).
% 58.13/9.48 tff(f28015,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : int] : (zero_zero(X0) = iG428(X0,X1) | zero_zero(int) = X1) & ! [X2 : $tType,X3 : int] : (one_one(X2) = iG428(X2,X3) | zero_zero(int) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22472])).
% 58.13/9.48 tff(f22472,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : int] : (zero_zero(int) != X1 => zero_zero(X0) = iG428(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => one_one(X2) = iG428(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22471])).
% 58.13/9.48 tff(f22471,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => zero_zero(X0) = iG428(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => one_one(X2) = iG428(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f11266])).
% 58.13/9.48 tff(f96508,plain,(
% 58.13/9.48 spl5880_3151),
% 58.13/9.48 inference(avatar_split_clause,[],[f48931,f96506])).
% 58.13/9.48 tff(f96506,plain,(
% 58.13/9.48 spl5880_3151 <=> ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG430(X0,X1,X2) | finite_finite(nat,X1))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3151])])).
% 58.13/9.48 tff(f48931,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG430(X0,X1,X2) | finite_finite(nat,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28013])).
% 58.13/9.48 tff(f96504,plain,(
% 58.13/9.48 spl5880_3150),
% 58.13/9.48 inference(avatar_split_clause,[],[f48822,f96502])).
% 58.13/9.48 tff(f96502,plain,(
% 58.13/9.48 spl5880_3150 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG472(X0,X1) | zero_zero(X0) = X1)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3150])])).
% 58.13/9.48 tff(f48822,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG472(X0,X1) | zero_zero(X0) = X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27981])).
% 58.13/9.48 tff(f27981,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG472(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG472(X2,X3) | zero_zero(X2) != X3)),
% 58.13/9.48 inference(ennf_transformation,[],[f22396])).
% 58.13/9.48 tff(f22396,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG472(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG472(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f22395])).
% 58.13/9.48 tff(f22395,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG472(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG472(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f11710])).
% 58.13/9.48 tff(f96500,plain,(
% 58.13/9.48 spl5880_3149),
% 58.13/9.48 inference(avatar_split_clause,[],[f48806,f96498])).
% 58.13/9.48 tff(f96498,plain,(
% 58.13/9.48 spl5880_3149 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG480(X0,X1,X2) | X1 = X2)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3149])])).
% 58.13/9.48 tff(f48806,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG480(X0,X1,X2) | X1 = X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27978])).
% 58.13/9.48 tff(f27978,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG480(X0,X1,X2) | X1 = X2) & ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG480(X3,X4,X5) | X4 != X5)),
% 58.13/9.48 inference(ennf_transformation,[],[f22385])).
% 58.13/9.48 tff(f22385,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (X1 != X2 => zero_zero(X0) = iG480(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG480(X3,X4,X5))),
% 58.13/9.48 inference(flattening,[],[f22384])).
% 58.13/9.48 tff(f22384,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (~X1 = X2 => zero_zero(X0) = iG480(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG480(X3,X4,X5))),
% 58.13/9.48 inference(rectify,[],[f12116])).
% 58.13/9.48 tff(f12116,plain,(
% 58.13/9.48 ! [X0 : $tType,X4 : nat,X1 : nat] : (~X1 = X4 => zero_zero(X0) = iG480(X0,X4,X1)) & ! [X0 : $tType,X4 : nat,X1 : nat] : (X1 = X4 => one_one(X0) = iG480(X0,X4,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG480])])).
% 58.13/9.48 tff(f96496,plain,(
% 58.13/9.48 spl5880_3148),
% 58.13/9.48 inference(avatar_split_clause,[],[f48605,f96494])).
% 58.13/9.48 tff(f96494,plain,(
% 58.13/9.48 spl5880_3148 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG581(X0,X1,X2) | X1 = X2)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3148])])).
% 58.13/9.48 tff(f48605,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG581(X0,X1,X2) | X1 = X2) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27925])).
% 58.13/9.48 tff(f27925,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG581(X0,X1,X2) | X1 = X2) & ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG581(X3,X4,X5) | X4 != X5)),
% 58.13/9.48 inference(ennf_transformation,[],[f22239])).
% 58.13/9.48 tff(f22239,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (X1 != X2 => zero_zero(X0) = iG581(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG581(X3,X4,X5))),
% 58.13/9.48 inference(flattening,[],[f22238])).
% 58.13/9.48 tff(f22238,plain,(
% 58.13/9.48 ! [X0 : $tType,X1 : nat,X2 : nat] : (~X1 = X2 => zero_zero(X0) = iG581(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG581(X3,X4,X5))),
% 58.13/9.48 inference(rectify,[],[f13741])).
% 58.13/9.48 tff(f13741,plain,(
% 58.13/9.48 ! [X0 : $tType,X3 : nat,X1 : nat] : (~X1 = X3 => zero_zero(X0) = iG581(X0,X3,X1)) & ! [X0 : $tType,X3 : nat,X1 : nat] : (X1 = X3 => one_one(X0) = iG581(X0,X3,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG581])])).
% 58.13/9.48 tff(f96492,plain,(
% 58.13/9.48 spl5880_3147),
% 58.13/9.48 inference(avatar_split_clause,[],[f47950,f96490])).
% 58.13/9.48 tff(f96490,plain,(
% 58.13/9.48 spl5880_3147 <=> ! [X0 : $o,X1 : $o] : (iG899(X1) = iG900(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3147])])).
% 58.13/9.48 tff(f47950,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG899(X1) = iG900(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27779])).
% 58.13/9.48 tff(f27779,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG899(X1) = iG900(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG900(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21806])).
% 58.13/9.48 tff(f21806,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG899(X1) = iG900(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG900(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21805])).
% 58.13/9.48 tff(f21805,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG899(X1) = iG900(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG900(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f15520])).
% 58.13/9.48 tff(f15520,plain,(
% 58.13/9.48 ! [X3 : $o,X2 : $o] : (~($true = X3) => iG899(X2) = iG900(X3,X2)) & ! [X3 : $o,X2 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG900(X3,X2))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG900])])).
% 58.13/9.48 tff(f96488,plain,(
% 58.13/9.48 spl5880_3146),
% 58.13/9.48 inference(avatar_split_clause,[],[f47942,f96486])).
% 58.13/9.48 tff(f96486,plain,(
% 58.13/9.48 spl5880_3146 <=> ! [X0 : $o,X1 : $o] : (iG903(X1) = iG904(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3146])])).
% 58.13/9.48 tff(f47942,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG903(X1) = iG904(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27777])).
% 58.13/9.48 tff(f27777,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG903(X1) = iG904(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG904(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21800])).
% 58.13/9.48 tff(f21800,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG903(X1) = iG904(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG904(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21799])).
% 58.13/9.48 tff(f21799,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG903(X1) = iG904(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG904(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f15526])).
% 58.13/9.48 tff(f15526,plain,(
% 58.13/9.48 ! [X3 : $o,X2 : $o] : (~($true = X3) => iG903(X2) = iG904(X3,X2)) & ! [X3 : $o,X2 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG904(X3,X2))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG904])])).
% 58.13/9.48 tff(f96484,plain,(
% 58.13/9.48 spl5880_3145),
% 58.13/9.48 inference(avatar_split_clause,[],[f47930,f96482])).
% 58.13/9.48 tff(f96482,plain,(
% 58.13/9.48 spl5880_3145 <=> ! [X0 : $o,X1 : $o] : (iG909(X1) = iG910(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3145])])).
% 58.13/9.48 tff(f47930,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG909(X1) = iG910(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27775])).
% 58.13/9.48 tff(f27775,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG909(X1) = iG910(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21792])).
% 58.13/9.48 tff(f21792,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG909(X1) = iG910(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21791])).
% 58.13/9.48 tff(f21791,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG909(X1) = iG910(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f15534])).
% 58.13/9.48 tff(f15534,plain,(
% 58.13/9.48 ! [X2 : $o,X3 : $o] : (~($true = X2) => iG909(X3) = iG910(X2,X3)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910(X2,X3))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG910])])).
% 58.13/9.48 tff(f96480,plain,(
% 58.13/9.48 spl5880_3144),
% 58.13/9.48 inference(avatar_split_clause,[],[f47922,f96478])).
% 58.13/9.48 tff(f96478,plain,(
% 58.13/9.48 spl5880_3144 <=> ! [X0 : $o,X1 : $o] : (iG913(X1) = iG914(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3144])])).
% 58.13/9.48 tff(f47922,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG913(X1) = iG914(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27773])).
% 58.13/9.48 tff(f27773,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG913(X1) = iG914(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21786])).
% 58.13/9.48 tff(f21786,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG913(X1) = iG914(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21785])).
% 58.13/9.48 tff(f21785,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG913(X1) = iG914(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f15540])).
% 58.13/9.48 tff(f15540,plain,(
% 58.13/9.48 ! [X2 : $o,X3 : $o] : (~($true = X2) => iG913(X3) = iG914(X2,X3)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914(X2,X3))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG914])])).
% 58.13/9.48 tff(f96476,plain,(
% 58.13/9.48 spl5880_3143),
% 58.13/9.48 inference(avatar_split_clause,[],[f47636,f96474])).
% 58.13/9.48 tff(f96474,plain,(
% 58.13/9.48 spl5880_3143 <=> ! [X0 : $o,X1 : $o] : (iG1038(X1) = iG1039(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3143])])).
% 58.13/9.48 tff(f47636,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG1038(X1) = iG1039(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27711])).
% 58.13/9.48 tff(f27711,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG1038(X1) = iG1039(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1039(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21591])).
% 58.13/9.48 tff(f21591,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG1038(X1) = iG1039(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1039(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21590])).
% 58.13/9.48 tff(f21590,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG1038(X1) = iG1039(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1039(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f17221])).
% 58.13/9.48 tff(f17221,plain,(
% 58.13/9.48 ! [X1 : $o,X0 : $o] : (~($true = X1) => iG1038(X0) = iG1039(X1,X0)) & ! [X1 : $o,X0 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1039(X1,X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1039])])).
% 58.13/9.48 tff(f96472,plain,(
% 58.13/9.48 spl5880_3142),
% 58.13/9.48 inference(avatar_split_clause,[],[f46986,f96470])).
% 58.13/9.48 tff(f96470,plain,(
% 58.13/9.48 spl5880_3142 <=> ! [X0 : $o,X1 : $o] : (iG1384(X1) = iG1385(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3142])])).
% 58.13/9.48 tff(f46986,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG1384(X1) = iG1385(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27567])).
% 58.13/9.48 tff(f27567,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (iG1384(X1) = iG1385(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1385(X2,X3) | ($true != X2))),
% 58.13/9.48 inference(ennf_transformation,[],[f21152])).
% 58.13/9.48 tff(f21152,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (($true != X0) => iG1384(X1) = iG1385(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1385(X2,X3))),
% 58.13/9.48 inference(flattening,[],[f21151])).
% 58.13/9.48 tff(f21151,plain,(
% 58.13/9.48 ! [X0 : $o,X1 : $o] : (~($true = X0) => iG1384(X1) = iG1385(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1385(X2,X3))),
% 58.13/9.48 inference(rectify,[],[f17759])).
% 58.13/9.48 tff(f17759,plain,(
% 58.13/9.48 ! [X8 : $o,X7 : $o] : (~($true = X8) => iG1384(X7) = iG1385(X8,X7)) & ! [X8 : $o,X7 : $o] : (($true = X8) => aa(nat,option(nat),some(nat),one_one(nat)) = iG1385(X8,X7))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG1385])])).
% 58.13/9.48 tff(f96468,plain,(
% 58.13/9.48 spl5880_3141),
% 58.13/9.48 inference(avatar_split_clause,[],[f46891,f96466])).
% 58.13/9.48 tff(f96466,plain,(
% 58.13/9.48 spl5880_3141 <=> ! [X0 : $o,X1 : $o] : (iG1436(X1) = iG1437(X0,X1) | ($true = X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3141])])).
% 58.13/9.48 tff(f46891,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : $o] : (iG1436(X1) = iG1437(X0,X1) | ($true = X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f27546])).
% 58.13/9.48 tff(f96464,plain,(
% 58.13/9.48 spl5880_3140),
% 58.13/9.48 inference(avatar_split_clause,[],[f46215,f96462])).
% 58.13/9.48 tff(f96462,plain,(
% 58.13/9.48 spl5880_3140 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (vEBT_V5917875025757280293ildren(X3,X2,X0) | ~sP1845(X0,X1,X2,X3,X4))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3140])])).
% 58.13/9.48 tff(f46215,plain,(
% 58.13/9.48 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (vEBT_V5917875025757280293ildren(X3,X2,X0) | ~sP1845(X0,X1,X2,X3,X4)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f37988])).
% 58.13/9.48 tff(f37988,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1845(X0,X1,X2,X3,X4) | ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK2518(X0,X1,X2,X3,X4)),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK2518(X0,X1,X2,X3,X4)))) & vEBT_V5917875025757280293ildren(X3,X2,sK2518(X0,X1,X2,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK2518(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X6 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X6))) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1845(X0,X1,X2,X3,X4)))),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2518])],[f37986,f37987])).
% 58.13/9.48 tff(f37987,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) => ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK2518(X0,X1,X2,X3,X4)),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK2518(X0,X1,X2,X3,X4)))) & vEBT_V5917875025757280293ildren(X3,X2,sK2518(X0,X1,X2,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK2518(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)))))),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f37986,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1845(X0,X1,X2,X3,X4) | ? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X6 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X6))) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1845(X0,X1,X2,X3,X4)))),
% 58.13/9.48 inference(rectify,[],[f37985])).
% 58.13/9.48 tff(f37985,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1845(X0,X1,X2,X3,X4) | ? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1845(X0,X1,X2,X3,X4)))),
% 58.13/9.48 inference(flattening,[],[f37984])).
% 58.13/9.48 tff(f37984,plain,(
% 58.13/9.48 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1845(X0,X1,X2,X3,X4) | (? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0))) & ((! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1845(X0,X1,X2,X3,X4)))),
% 58.13/9.48 inference(nnf_transformation,[],[f36959])).
% 58.13/9.48 tff(f96381,plain,(
% 58.13/9.48 spl5880_3139 | ~spl5880_1536 | ~spl5880_3105),
% 58.13/9.48 inference(avatar_split_clause,[],[f95686,f95683,f86300,f96379])).
% 58.13/9.48 tff(f96379,plain,(
% 58.13/9.48 spl5880_3139 <=> ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_t(X0) = iG714($true) | sP2054(vEBT_T_m_i_n_t(X0),X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3139])])).
% 58.13/9.48 tff(f95683,plain,(
% 58.13/9.48 spl5880_3105 <=> ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_t(X0) = iG1228($true) | sP2054(vEBT_T_m_i_n_t(X0),X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3105])])).
% 58.13/9.48 tff(f95686,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_t(X0) = iG714($true) | sP2054(vEBT_T_m_i_n_t(X0),X0)) ) | (~spl5880_1536 | ~spl5880_3105)),
% 58.13/9.48 inference(forward_demodulation,[],[f95684,f86302])).
% 58.13/9.48 tff(f95684,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_t(X0) = iG1228($true) | sP2054(vEBT_T_m_i_n_t(X0),X0)) ) | ~spl5880_3105),
% 58.13/9.48 inference(avatar_component_clause,[],[f95683])).
% 58.13/9.48 tff(f96377,plain,(
% 58.13/9.48 spl5880_3138 | ~spl5880_1536 | ~spl5880_3104),
% 58.13/9.48 inference(avatar_split_clause,[],[f95681,f95678,f86300,f96375])).
% 58.13/9.48 tff(f96375,plain,(
% 58.13/9.48 spl5880_3138 <=> ! [X0 : vEBT_VEBT] : (vEBT_T_m_a_x_t(X0) = iG714($true) | sP2040(vEBT_T_m_a_x_t(X0),X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3138])])).
% 58.13/9.48 tff(f95678,plain,(
% 58.13/9.48 spl5880_3104 <=> ! [X0 : vEBT_VEBT] : (vEBT_T_m_a_x_t(X0) = iG1228($true) | sP2040(vEBT_T_m_a_x_t(X0),X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3104])])).
% 58.13/9.48 tff(f95681,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_a_x_t(X0) = iG714($true) | sP2040(vEBT_T_m_a_x_t(X0),X0)) ) | (~spl5880_1536 | ~spl5880_3104)),
% 58.13/9.48 inference(forward_demodulation,[],[f95679,f86302])).
% 58.13/9.48 tff(f95679,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_a_x_t(X0) = iG1228($true) | sP2040(vEBT_T_m_a_x_t(X0),X0)) ) | ~spl5880_3104),
% 58.13/9.48 inference(avatar_component_clause,[],[f95678])).
% 58.13/9.48 tff(f96373,plain,(
% 58.13/9.48 spl5880_3137 | ~spl5880_1536 | ~spl5880_3102),
% 58.13/9.48 inference(avatar_split_clause,[],[f95672,f95668,f86300,f96371])).
% 58.13/9.48 tff(f96371,plain,(
% 58.13/9.48 spl5880_3137 <=> ! [X0 : nat] : (iG714($true) = X0 | ~dvd_dvd(nat,X0,iG714($true)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3137])])).
% 58.13/9.48 tff(f95668,plain,(
% 58.13/9.48 spl5880_3102 <=> ! [X0 : nat] : (~dvd_dvd(nat,X0,iG1228($true)) | iG1228($true) = X0)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3102])])).
% 58.13/9.48 tff(f95672,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (iG714($true) = X0 | ~dvd_dvd(nat,X0,iG714($true))) ) | (~spl5880_1536 | ~spl5880_3102)),
% 58.13/9.48 inference(forward_demodulation,[],[f95671,f86302])).
% 58.13/9.48 tff(f95671,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (~dvd_dvd(nat,X0,iG714($true)) | iG1228($true) = X0) ) | (~spl5880_1536 | ~spl5880_3102)),
% 58.13/9.48 inference(forward_demodulation,[],[f95669,f86302])).
% 58.13/9.48 tff(f95669,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (~dvd_dvd(nat,X0,iG1228($true)) | iG1228($true) = X0) ) | ~spl5880_3102),
% 58.13/9.48 inference(avatar_component_clause,[],[f95668])).
% 58.13/9.48 tff(f96369,plain,(
% 58.13/9.48 spl5880_3136 | ~spl5880_1536 | ~spl5880_3101),
% 58.13/9.48 inference(avatar_split_clause,[],[f95666,f95663,f86300,f96367])).
% 58.13/9.48 tff(f96367,plain,(
% 58.13/9.48 spl5880_3136 <=> ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,iG714($true)) = X1 | ~comm_semiring_1(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3136])])).
% 58.13/9.48 tff(f95663,plain,(
% 58.13/9.48 spl5880_3101 <=> ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,iG1228($true)) = X1 | ~comm_semiring_1(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3101])])).
% 58.13/9.48 tff(f95666,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,iG714($true)) = X1 | ~comm_semiring_1(X0)) ) | (~spl5880_1536 | ~spl5880_3101)),
% 58.13/9.48 inference(forward_demodulation,[],[f95664,f86302])).
% 58.13/9.48 tff(f95664,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,iG1228($true)) = X1 | ~comm_semiring_1(X0)) ) | ~spl5880_3101),
% 58.13/9.48 inference(avatar_component_clause,[],[f95663])).
% 58.13/9.48 tff(f96365,plain,(
% 58.13/9.48 spl5880_3135 | ~spl5880_1544 | ~spl5880_3100),
% 58.13/9.48 inference(avatar_split_clause,[],[f95661,f95658,f86336,f96363])).
% 58.13/9.48 tff(f96363,plain,(
% 58.13/9.48 spl5880_3135 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG717($true)) | ~semiring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3135])])).
% 58.13/9.48 tff(f95658,plain,(
% 58.13/9.48 spl5880_3100 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG894($true)) | ~semiring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3100])])).
% 58.13/9.48 tff(f95661,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG717($true)) | ~semiring_char_0(X0)) ) | (~spl5880_1544 | ~spl5880_3100)),
% 58.13/9.48 inference(forward_demodulation,[],[f95659,f86338])).
% 58.13/9.48 tff(f95659,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG894($true)) | ~semiring_char_0(X0)) ) | ~spl5880_3100),
% 58.13/9.48 inference(avatar_component_clause,[],[f95658])).
% 58.13/9.48 tff(f96361,plain,(
% 58.13/9.48 spl5880_3134 | ~spl5880_1536 | ~spl5880_3099),
% 58.13/9.48 inference(avatar_split_clause,[],[f95656,f95653,f86300,f96359])).
% 58.13/9.48 tff(f96359,plain,(
% 58.13/9.48 spl5880_3134 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG714($true)) | ~semiring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3134])])).
% 58.13/9.48 tff(f95653,plain,(
% 58.13/9.48 spl5880_3099 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG1228($true)) | ~semiring_char_0(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3099])])).
% 58.13/9.48 tff(f95656,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG714($true)) | ~semiring_char_0(X0)) ) | (~spl5880_1536 | ~spl5880_3099)),
% 58.13/9.48 inference(forward_demodulation,[],[f95654,f86302])).
% 58.13/9.48 tff(f95654,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG1228($true)) | ~semiring_char_0(X0)) ) | ~spl5880_3099),
% 58.13/9.48 inference(avatar_component_clause,[],[f95653])).
% 58.13/9.48 tff(f96357,plain,(
% 58.13/9.48 spl5880_3133 | ~spl5880_1536 | ~spl5880_3098),
% 58.13/9.48 inference(avatar_split_clause,[],[f95651,f95648,f86300,f96355])).
% 58.13/9.48 tff(f96355,plain,(
% 58.13/9.48 spl5880_3133 <=> ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,iG714($true)) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3133])])).
% 58.13/9.48 tff(f95648,plain,(
% 58.13/9.48 spl5880_3098 <=> ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,iG1228($true)) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3098])])).
% 58.13/9.48 tff(f95651,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,iG714($true)) | ~bit_se359711467146920520ations(X0)) ) | (~spl5880_1536 | ~spl5880_3098)),
% 58.13/9.48 inference(forward_demodulation,[],[f95649,f86302])).
% 58.13/9.48 tff(f95649,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,iG1228($true)) | ~bit_se359711467146920520ations(X0)) ) | ~spl5880_3098),
% 58.13/9.48 inference(avatar_component_clause,[],[f95648])).
% 58.13/9.48 tff(f96353,plain,(
% 58.13/9.48 spl5880_3132 | ~spl5880_1544 | ~spl5880_3097),
% 58.13/9.48 inference(avatar_split_clause,[],[f95646,f95643,f86336,f96351])).
% 58.13/9.48 tff(f96351,plain,(
% 58.13/9.48 spl5880_3132 <=> ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,iG717($true)) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3132])])).
% 58.13/9.48 tff(f95643,plain,(
% 58.13/9.48 spl5880_3097 <=> ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,iG894($true)) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3097])])).
% 58.13/9.48 tff(f95646,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,iG717($true)) | ~bit_se359711467146920520ations(X0)) ) | (~spl5880_1544 | ~spl5880_3097)),
% 58.13/9.48 inference(forward_demodulation,[],[f95644,f86338])).
% 58.13/9.48 tff(f95644,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,iG894($true)) | ~bit_se359711467146920520ations(X0)) ) | ~spl5880_3097),
% 58.13/9.48 inference(avatar_component_clause,[],[f95643])).
% 58.13/9.48 tff(f96341,plain,(
% 58.13/9.48 spl5880_3131 | ~spl5880_1536 | ~spl5880_3093),
% 58.13/9.48 inference(avatar_split_clause,[],[f95629,f95626,f86300,f96339])).
% 58.13/9.48 tff(f96339,plain,(
% 58.13/9.48 spl5880_3131 <=> ! [X0 : real] : aa(real,real,root(iG714($true)),X0) = X0),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3131])])).
% 58.13/9.48 tff(f95626,plain,(
% 58.13/9.48 spl5880_3093 <=> ! [X0 : real] : aa(real,real,root(iG1228($true)),X0) = X0),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3093])])).
% 58.13/9.48 tff(f95629,plain,(
% 58.13/9.48 ( ! [X0 : real] : (aa(real,real,root(iG714($true)),X0) = X0) ) | (~spl5880_1536 | ~spl5880_3093)),
% 58.13/9.48 inference(forward_demodulation,[],[f95627,f86302])).
% 58.13/9.48 tff(f95627,plain,(
% 58.13/9.48 ( ! [X0 : real] : (aa(real,real,root(iG1228($true)),X0) = X0) ) | ~spl5880_3093),
% 58.13/9.48 inference(avatar_component_clause,[],[f95626])).
% 58.13/9.48 tff(f96337,plain,(
% 58.13/9.48 spl5880_3130 | ~spl5880_1536 | ~spl5880_3092),
% 58.13/9.48 inference(avatar_split_clause,[],[f95624,f95621,f86300,f96335])).
% 58.13/9.48 tff(f96335,plain,(
% 58.13/9.48 spl5880_3130 <=> ! [X0 : nat] : aa(nat,nat,binomial(X0),iG714($true)) = X0),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3130])])).
% 58.13/9.48 tff(f95621,plain,(
% 58.13/9.48 spl5880_3092 <=> ! [X0 : nat] : aa(nat,nat,binomial(X0),iG1228($true)) = X0),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3092])])).
% 58.13/9.48 tff(f95624,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),iG714($true)) = X0) ) | (~spl5880_1536 | ~spl5880_3092)),
% 58.13/9.48 inference(forward_demodulation,[],[f95622,f86302])).
% 58.13/9.48 tff(f95622,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),iG1228($true)) = X0) ) | ~spl5880_3092),
% 58.13/9.48 inference(avatar_component_clause,[],[f95621])).
% 58.13/9.48 tff(f96333,plain,(
% 58.13/9.48 spl5880_3129 | ~spl5880_1536 | ~spl5880_3091),
% 58.13/9.48 inference(avatar_split_clause,[],[f95619,f95616,f86300,f96331])).
% 58.13/9.48 tff(f96331,plain,(
% 58.13/9.48 spl5880_3129 <=> ! [X0 : nat] : aa(nat,nat,binomial(X0),X0) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3129])])).
% 58.13/9.48 tff(f95616,plain,(
% 58.13/9.48 spl5880_3091 <=> ! [X0 : nat] : aa(nat,nat,binomial(X0),X0) = iG1228($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3091])])).
% 58.13/9.48 tff(f95619,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),X0) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3091)),
% 58.13/9.48 inference(forward_demodulation,[],[f95617,f86302])).
% 58.13/9.48 tff(f95617,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),X0) = iG1228($true)) ) | ~spl5880_3091),
% 58.13/9.48 inference(avatar_component_clause,[],[f95616])).
% 58.13/9.48 tff(f96327,plain,(
% 58.13/9.48 spl5880_3128 | ~spl5880_1544 | ~spl5880_3086),
% 58.13/9.48 inference(avatar_split_clause,[],[f95594,f95590,f86336,f96324])).
% 58.13/9.48 tff(f96324,plain,(
% 58.13/9.48 spl5880_3128 <=> aa(num,nat,size_size(num),one2) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3128])])).
% 58.13/9.48 tff(f95590,plain,(
% 58.13/9.48 spl5880_3086 <=> aa(num,nat,size_size(num),one2) = iG894($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3086])])).
% 58.13/9.48 tff(f95594,plain,(
% 58.13/9.48 aa(num,nat,size_size(num),one2) = iG717($true) | (~spl5880_1544 | ~spl5880_3086)),
% 58.13/9.48 inference(forward_demodulation,[],[f95592,f86338])).
% 58.13/9.48 tff(f95592,plain,(
% 58.13/9.48 aa(num,nat,size_size(num),one2) = iG894($true) | ~spl5880_3086),
% 58.13/9.48 inference(avatar_component_clause,[],[f95590])).
% 58.13/9.48 tff(f96322,plain,(
% 58.13/9.48 spl5880_3127 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_3084),
% 58.13/9.48 inference(avatar_split_clause,[],[f95583,f95578,f86336,f86300,f96319])).
% 58.13/9.48 tff(f95578,plain,(
% 58.13/9.48 spl5880_3084 <=> iG1228($true) = aa(nat,nat,suc,iG894($true))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3084])])).
% 58.13/9.48 tff(f95583,plain,(
% 58.13/9.48 iG714($true) = aa(nat,nat,suc,iG717($true)) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_3084)),
% 58.13/9.48 inference(forward_demodulation,[],[f95582,f86302])).
% 58.13/9.48 tff(f95582,plain,(
% 58.13/9.48 iG1228($true) = aa(nat,nat,suc,iG717($true)) | (~spl5880_1544 | ~spl5880_3084)),
% 58.13/9.48 inference(forward_demodulation,[],[f95580,f86338])).
% 58.13/9.48 tff(f95580,plain,(
% 58.13/9.48 iG1228($true) = aa(nat,nat,suc,iG894($true)) | ~spl5880_3084),
% 58.13/9.48 inference(avatar_component_clause,[],[f95578])).
% 58.13/9.48 tff(f96317,plain,(
% 58.13/9.48 spl5880_3126 | ~spl5880_1536 | ~spl5880_3083),
% 58.13/9.48 inference(avatar_split_clause,[],[f95576,f95572,f86300,f96314])).
% 58.13/9.48 tff(f95572,plain,(
% 58.13/9.48 spl5880_3083 <=> aa(int,nat,nat2,one_one(int)) = iG1228($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3083])])).
% 58.13/9.48 tff(f95576,plain,(
% 58.13/9.48 aa(int,nat,nat2,one_one(int)) = iG714($true) | (~spl5880_1536 | ~spl5880_3083)),
% 58.13/9.48 inference(forward_demodulation,[],[f95574,f86302])).
% 58.13/9.48 tff(f95574,plain,(
% 58.13/9.48 aa(int,nat,nat2,one_one(int)) = iG1228($true) | ~spl5880_3083),
% 58.13/9.48 inference(avatar_component_clause,[],[f95572])).
% 58.13/9.48 tff(f96312,plain,(
% 58.13/9.48 spl5880_3125 | ~spl5880_1536 | ~spl5880_3082),
% 58.13/9.48 inference(avatar_split_clause,[],[f95570,f95566,f86300,f96309])).
% 58.13/9.48 tff(f96309,plain,(
% 58.13/9.48 spl5880_3125 <=> aa(num,nat,numeral_numeral(nat),one2) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3125])])).
% 58.13/9.48 tff(f95566,plain,(
% 58.13/9.48 spl5880_3082 <=> aa(num,nat,numeral_numeral(nat),one2) = iG1228($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3082])])).
% 58.13/9.48 tff(f95570,plain,(
% 58.13/9.48 aa(num,nat,numeral_numeral(nat),one2) = iG714($true) | (~spl5880_1536 | ~spl5880_3082)),
% 58.13/9.48 inference(forward_demodulation,[],[f95568,f86302])).
% 58.13/9.48 tff(f95568,plain,(
% 58.13/9.48 aa(num,nat,numeral_numeral(nat),one2) = iG1228($true) | ~spl5880_3082),
% 58.13/9.48 inference(avatar_component_clause,[],[f95566])).
% 58.13/9.48 tff(f96307,plain,(
% 58.13/9.48 spl5880_3124 | ~spl5880_1544 | ~spl5880_3078),
% 58.13/9.48 inference(avatar_split_clause,[],[f95544,f95541,f86336,f96305])).
% 58.13/9.48 tff(f96305,plain,(
% 58.13/9.48 spl5880_3124 <=> ! [X4 : $tType,X5 : X4] : (bG413(X4,X5) = iG414(X4,iG717($true),X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3124])])).
% 58.13/9.48 tff(f95541,plain,(
% 58.13/9.48 spl5880_3078 <=> ! [X4 : $tType,X5 : X4] : (bG413(X4,X5) = iG414(X4,iG894($true),X5))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3078])])).
% 58.13/9.48 tff(f95544,plain,(
% 58.13/9.48 ( ! [X4 : $tType,X5 : X4] : ((bG413(X4,X5) = iG414(X4,iG717($true),X5))) ) | (~spl5880_1544 | ~spl5880_3078)),
% 58.13/9.48 inference(forward_demodulation,[],[f95542,f86338])).
% 58.13/9.48 tff(f95542,plain,(
% 58.13/9.48 ( ! [X4 : $tType,X5 : X4] : ((bG413(X4,X5) = iG414(X4,iG894($true),X5))) ) | ~spl5880_3078),
% 58.13/9.48 inference(avatar_component_clause,[],[f95541])).
% 58.13/9.48 tff(f96303,plain,(
% 58.13/9.48 spl5880_3123 | ~spl5880_1544 | ~spl5880_3077),
% 58.13/9.48 inference(avatar_split_clause,[],[f95539,f95536,f86336,f96301])).
% 58.13/9.48 tff(f96301,plain,(
% 58.13/9.48 spl5880_3123 <=> ! [X0 : $o,X1 : nat] : (iG717($true) = X1 | ($true != bG461(X0,X1)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3123])])).
% 58.13/9.48 tff(f95536,plain,(
% 58.13/9.48 spl5880_3077 <=> ! [X0 : $o,X1 : nat] : (iG894($true) = X1 | ($true != bG461(X0,X1)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3077])])).
% 58.13/9.48 tff(f95539,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : nat] : (iG717($true) = X1 | ($true != bG461(X0,X1))) ) | (~spl5880_1544 | ~spl5880_3077)),
% 58.13/9.48 inference(forward_demodulation,[],[f95537,f86338])).
% 58.13/9.48 tff(f95537,plain,(
% 58.13/9.48 ( ! [X0 : $o,X1 : nat] : (iG894($true) = X1 | ($true != bG461(X0,X1))) ) | ~spl5880_3077),
% 58.13/9.48 inference(avatar_component_clause,[],[f95536])).
% 58.13/9.48 tff(f96293,plain,(
% 58.13/9.48 spl5880_3122 | ~spl5880_1536 | ~spl5880_3074),
% 58.13/9.48 inference(avatar_split_clause,[],[f95526,f95523,f86300,f96291])).
% 58.13/9.48 tff(f96291,plain,(
% 58.13/9.48 spl5880_3122 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1074(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3122])])).
% 58.13/9.48 tff(f95523,plain,(
% 58.13/9.48 spl5880_3074 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1228($true) = iG1074(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3074])])).
% 58.13/9.48 tff(f95526,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1074(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3074)),
% 58.13/9.48 inference(forward_demodulation,[],[f95524,f86302])).
% 58.13/9.48 tff(f95524,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1074(X6,X6,X7,X8,X9)) ) | ~spl5880_3074),
% 58.13/9.48 inference(avatar_component_clause,[],[f95523])).
% 58.13/9.48 tff(f96289,plain,(
% 58.13/9.48 spl5880_3121 | ~spl5880_1536 | ~spl5880_3073),
% 58.13/9.48 inference(avatar_split_clause,[],[f95521,f95518,f86300,f96287])).
% 58.13/9.48 tff(f96287,plain,(
% 58.13/9.48 spl5880_3121 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1075(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3121])])).
% 58.13/9.48 tff(f95518,plain,(
% 58.13/9.48 spl5880_3073 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1228($true) = iG1075(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3073])])).
% 58.13/9.48 tff(f95521,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1075(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3073)),
% 58.13/9.48 inference(forward_demodulation,[],[f95519,f86302])).
% 58.13/9.48 tff(f95519,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1075(X6,X6,X7,X8,X9)) ) | ~spl5880_3073),
% 58.13/9.48 inference(avatar_component_clause,[],[f95518])).
% 58.13/9.48 tff(f96285,plain,(
% 58.13/9.48 spl5880_3120 | ~spl5880_1536 | ~spl5880_3072),
% 58.13/9.48 inference(avatar_split_clause,[],[f95516,f95513,f86300,f96283])).
% 58.13/9.48 tff(f96283,plain,(
% 58.13/9.48 spl5880_3120 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1085(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3120])])).
% 58.13/9.48 tff(f95513,plain,(
% 58.13/9.48 spl5880_3072 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1228($true) = iG1085(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3072])])).
% 58.13/9.48 tff(f95516,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1085(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3072)),
% 58.13/9.48 inference(forward_demodulation,[],[f95514,f86302])).
% 58.13/9.48 tff(f95514,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1085(X6,X6,X7,X8,X9)) ) | ~spl5880_3072),
% 58.13/9.48 inference(avatar_component_clause,[],[f95513])).
% 58.13/9.48 tff(f96281,plain,(
% 58.13/9.48 spl5880_3119 | ~spl5880_1536 | ~spl5880_3071),
% 58.13/9.48 inference(avatar_split_clause,[],[f95511,f95508,f86300,f96279])).
% 58.13/9.48 tff(f96279,plain,(
% 58.13/9.48 spl5880_3119 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1086(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3119])])).
% 58.13/9.48 tff(f95508,plain,(
% 58.13/9.48 spl5880_3071 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1228($true) = iG1086(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3071])])).
% 58.13/9.48 tff(f95511,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1086(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_3071)),
% 58.13/9.48 inference(forward_demodulation,[],[f95509,f86302])).
% 58.13/9.48 tff(f95509,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1086(X6,X6,X7,X8,X9)) ) | ~spl5880_3071),
% 58.13/9.48 inference(avatar_component_clause,[],[f95508])).
% 58.13/9.48 tff(f96262,plain,(
% 58.13/9.48 spl5880_3118 | ~spl5880_1443 | ~spl5880_3065),
% 58.13/9.48 inference(avatar_split_clause,[],[f95486,f95483,f85782,f96260])).
% 58.13/9.48 tff(f96260,plain,(
% 58.13/9.48 spl5880_3118 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1054(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3118])])).
% 58.13/9.48 tff(f95483,plain,(
% 58.13/9.48 spl5880_3065 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1054(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3065])])).
% 58.13/9.48 tff(f95486,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1054(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3065)),
% 58.13/9.48 inference(forward_demodulation,[],[f95484,f85784])).
% 58.13/9.48 tff(f95484,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1054(X6,X6,X7,X8,X9)) ) | ~spl5880_3065),
% 58.13/9.48 inference(avatar_component_clause,[],[f95483])).
% 58.13/9.48 tff(f96258,plain,(
% 58.13/9.48 spl5880_3117 | ~spl5880_1443 | ~spl5880_3064),
% 58.13/9.48 inference(avatar_split_clause,[],[f95481,f95478,f85782,f96256])).
% 58.13/9.48 tff(f96256,plain,(
% 58.13/9.48 spl5880_3117 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1055(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3117])])).
% 58.13/9.48 tff(f95478,plain,(
% 58.13/9.48 spl5880_3064 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1055(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3064])])).
% 58.13/9.48 tff(f95481,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1055(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3064)),
% 58.13/9.48 inference(forward_demodulation,[],[f95479,f85784])).
% 58.13/9.48 tff(f95479,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1055(X6,X6,X7,X8,X9)) ) | ~spl5880_3064),
% 58.13/9.48 inference(avatar_component_clause,[],[f95478])).
% 58.13/9.48 tff(f96254,plain,(
% 58.13/9.48 spl5880_3116 | ~spl5880_1443 | ~spl5880_3063),
% 58.13/9.48 inference(avatar_split_clause,[],[f95476,f95473,f85782,f96252])).
% 58.13/9.48 tff(f96252,plain,(
% 58.13/9.48 spl5880_3116 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1065(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3116])])).
% 58.13/9.48 tff(f95473,plain,(
% 58.13/9.48 spl5880_3063 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1065(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3063])])).
% 58.13/9.48 tff(f95476,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1065(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3063)),
% 58.13/9.48 inference(forward_demodulation,[],[f95474,f85784])).
% 58.13/9.48 tff(f95474,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1065(X6,X6,X7,X8,X9)) ) | ~spl5880_3063),
% 58.13/9.48 inference(avatar_component_clause,[],[f95473])).
% 58.13/9.48 tff(f96250,plain,(
% 58.13/9.48 spl5880_3115 | ~spl5880_1443 | ~spl5880_3062),
% 58.13/9.48 inference(avatar_split_clause,[],[f95471,f95468,f85782,f96248])).
% 58.13/9.48 tff(f96248,plain,(
% 58.13/9.48 spl5880_3115 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1066(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3115])])).
% 58.13/9.48 tff(f95468,plain,(
% 58.13/9.48 spl5880_3062 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1066(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3062])])).
% 58.13/9.48 tff(f95471,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1066(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3062)),
% 58.13/9.48 inference(forward_demodulation,[],[f95469,f85784])).
% 58.13/9.48 tff(f95469,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1066(X6,X6,X7,X8,X9)) ) | ~spl5880_3062),
% 58.13/9.48 inference(avatar_component_clause,[],[f95468])).
% 58.13/9.48 tff(f96230,plain,(
% 58.13/9.48 spl5880_3114 | ~spl5880_1443 | ~spl5880_3060),
% 58.13/9.48 inference(avatar_split_clause,[],[f95462,f95459,f85782,f96228])).
% 58.13/9.48 tff(f96228,plain,(
% 58.13/9.48 spl5880_3114 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1613(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3114])])).
% 58.13/9.48 tff(f95459,plain,(
% 58.13/9.48 spl5880_3060 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1613(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3060])])).
% 58.13/9.48 tff(f95462,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1613(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3060)),
% 58.13/9.48 inference(forward_demodulation,[],[f95460,f85784])).
% 58.13/9.48 tff(f95460,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1613(X6,X6,X7,X8,X9)) ) | ~spl5880_3060),
% 58.13/9.48 inference(avatar_component_clause,[],[f95459])).
% 58.13/9.48 tff(f96226,plain,(
% 58.13/9.48 spl5880_3113 | ~spl5880_1443 | ~spl5880_3059),
% 58.13/9.48 inference(avatar_split_clause,[],[f95457,f95454,f85782,f96224])).
% 58.13/9.48 tff(f96224,plain,(
% 58.13/9.48 spl5880_3113 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1614(X6,X6,X7,X8,X9) = iG717($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3113])])).
% 58.13/9.48 tff(f95454,plain,(
% 58.13/9.48 spl5880_3059 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : zero_zero(nat) = iG1614(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3059])])).
% 58.13/9.48 tff(f95457,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1614(X6,X6,X7,X8,X9) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_3059)),
% 58.13/9.48 inference(forward_demodulation,[],[f95455,f85784])).
% 58.13/9.48 tff(f95455,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1614(X6,X6,X7,X8,X9)) ) | ~spl5880_3059),
% 58.13/9.48 inference(avatar_component_clause,[],[f95454])).
% 58.13/9.48 tff(f96222,plain,(
% 58.13/9.48 spl5880_3112 | ~spl5880_1444 | ~spl5880_3058),
% 58.13/9.48 inference(avatar_split_clause,[],[f95452,f95449,f85787,f96220])).
% 58.13/9.48 tff(f96220,plain,(
% 58.13/9.48 spl5880_3112 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1619(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3112])])).
% 58.13/9.48 tff(f95449,plain,(
% 58.13/9.48 spl5880_3058 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : one_one(nat) = iG1619(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3058])])).
% 58.13/9.48 tff(f95452,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1619(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1444 | ~spl5880_3058)),
% 58.13/9.48 inference(forward_demodulation,[],[f95450,f85789])).
% 58.13/9.48 tff(f95450,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1619(X6,X6,X7,X8,X9)) ) | ~spl5880_3058),
% 58.13/9.48 inference(avatar_component_clause,[],[f95449])).
% 58.13/9.48 tff(f96218,plain,(
% 58.13/9.48 spl5880_3111 | ~spl5880_1444 | ~spl5880_3057),
% 58.13/9.48 inference(avatar_split_clause,[],[f95447,f95444,f85787,f96216])).
% 58.13/9.48 tff(f96216,plain,(
% 58.13/9.48 spl5880_3111 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1620(X6,X6,X7,X8,X9) = iG714($true)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3111])])).
% 58.13/9.48 tff(f95444,plain,(
% 58.13/9.48 spl5880_3057 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : one_one(nat) = iG1620(X6,X6,X7,X8,X9)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3057])])).
% 58.13/9.48 tff(f95447,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1620(X6,X6,X7,X8,X9) = iG714($true)) ) | (~spl5880_1444 | ~spl5880_3057)),
% 58.13/9.48 inference(forward_demodulation,[],[f95445,f85789])).
% 58.13/9.48 tff(f95445,plain,(
% 58.13/9.48 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1620(X6,X6,X7,X8,X9)) ) | ~spl5880_3057),
% 58.13/9.48 inference(avatar_component_clause,[],[f95444])).
% 58.13/9.48 tff(f96118,plain,(
% 58.13/9.48 spl5880_3110 | ~spl5880_1426 | ~spl5880_2978),
% 58.13/9.48 inference(avatar_split_clause,[],[f95130,f95126,f85691,f96116])).
% 58.13/9.48 tff(f95126,plain,(
% 58.13/9.48 spl5880_2978 <=> ! [X0 : num] : num_of_nat(aa(num,nat,numeral_numeral(nat),X0)) = X0),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_2978])])).
% 58.13/9.48 tff(f95130,plain,(
% 58.13/9.48 ( ! [X0 : num] : (num_of_nat(iG296(aa(num,code_integer,code_positive,X0))) = X0) ) | (~spl5880_1426 | ~spl5880_2978)),
% 58.13/9.48 inference(forward_demodulation,[],[f95129,f85692])).
% 58.13/9.48 tff(f95129,plain,(
% 58.13/9.48 ( ! [X0 : num] : (num_of_nat(lG696(aa(num,code_integer,code_positive,X0))) = X0) ) | ~spl5880_2978),
% 58.13/9.48 inference(forward_demodulation,[],[f95127,f69903])).
% 58.13/9.48 tff(f95127,plain,(
% 58.13/9.48 ( ! [X0 : num] : (num_of_nat(aa(num,nat,numeral_numeral(nat),X0)) = X0) ) | ~spl5880_2978),
% 58.13/9.48 inference(avatar_component_clause,[],[f95126])).
% 58.13/9.48 tff(f95712,plain,(
% 58.13/9.48 spl5880_3109 | ~spl5880_1444 | ~spl5880_2940),
% 58.13/9.48 inference(avatar_split_clause,[],[f94965,f94962,f85787,f95710])).
% 58.13/9.48 tff(f95710,plain,(
% 58.13/9.48 spl5880_3109 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1485(X0,X1)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3109])])).
% 58.13/9.48 tff(f94962,plain,(
% 58.13/9.48 spl5880_2940 <=> ! [X0 : nat,X1 : $o] : (($false = iG1485(X0,X1)) | one_one(nat) = X0)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_2940])])).
% 58.13/9.48 tff(f94965,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1485(X0,X1))) ) | (~spl5880_1444 | ~spl5880_2940)),
% 58.13/9.48 inference(forward_demodulation,[],[f94963,f85789])).
% 58.13/9.48 tff(f94963,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (($false = iG1485(X0,X1)) | one_one(nat) = X0) ) | ~spl5880_2940),
% 58.13/9.48 inference(avatar_component_clause,[],[f94962])).
% 58.13/9.48 tff(f95708,plain,(
% 58.13/9.48 spl5880_3108 | ~spl5880_1444 | ~spl5880_2939),
% 58.13/9.48 inference(avatar_split_clause,[],[f94960,f94957,f85787,f95706])).
% 58.13/9.48 tff(f95706,plain,(
% 58.13/9.48 spl5880_3108 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1521(X0,X1)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3108])])).
% 58.13/9.48 tff(f94957,plain,(
% 58.13/9.48 spl5880_2939 <=> ! [X0 : nat,X1 : $o] : (($false = iG1521(X0,X1)) | one_one(nat) = X0)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_2939])])).
% 58.13/9.48 tff(f94960,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1521(X0,X1))) ) | (~spl5880_1444 | ~spl5880_2939)),
% 58.13/9.48 inference(forward_demodulation,[],[f94958,f85789])).
% 58.13/9.48 tff(f94958,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (($false = iG1521(X0,X1)) | one_one(nat) = X0) ) | ~spl5880_2939),
% 58.13/9.48 inference(avatar_component_clause,[],[f94957])).
% 58.13/9.48 tff(f95704,plain,(
% 58.13/9.48 spl5880_3107 | ~spl5880_1444 | ~spl5880_2938),
% 58.13/9.48 inference(avatar_split_clause,[],[f94955,f94952,f85787,f95702])).
% 58.13/9.48 tff(f95702,plain,(
% 58.13/9.48 spl5880_3107 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1541(X0,X1)))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3107])])).
% 58.13/9.48 tff(f94952,plain,(
% 58.13/9.48 spl5880_2938 <=> ! [X0 : nat,X1 : $o] : (($false = iG1541(X0,X1)) | one_one(nat) = X0)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_2938])])).
% 58.13/9.48 tff(f94955,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ($false = iG1541(X0,X1))) ) | (~spl5880_1444 | ~spl5880_2938)),
% 58.13/9.48 inference(forward_demodulation,[],[f94953,f85789])).
% 58.13/9.48 tff(f94953,plain,(
% 58.13/9.48 ( ! [X0 : nat,X1 : $o] : (($false = iG1541(X0,X1)) | one_one(nat) = X0) ) | ~spl5880_2938),
% 58.13/9.48 inference(avatar_component_clause,[],[f94952])).
% 58.13/9.48 tff(f95690,plain,(
% 58.13/9.48 spl5880_3106),
% 58.13/9.48 inference(avatar_split_clause,[],[f76526,f95688])).
% 58.13/9.48 tff(f95688,plain,(
% 58.13/9.48 spl5880_3106 <=> ! [X2 : int] : (~dvd_dvd(int,zero_zero(int),X2) | zero_zero(int) = X2)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3106])])).
% 58.13/9.48 tff(f76526,plain,(
% 58.13/9.48 ( ! [X2 : int] : (~dvd_dvd(int,zero_zero(int),X2) | zero_zero(int) = X2) )),
% 58.13/9.48 inference(forward_demodulation,[],[f76525,f50327])).
% 58.13/9.48 tff(f76525,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : int] : (~dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int)),X2) | zero_zero(int) = X2) )),
% 58.13/9.48 inference(forward_demodulation,[],[f68721,f67701])).
% 58.13/9.48 tff(f68721,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : int] : (zero_zero(int) = X2 | ~dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),zero_zero(int))),X2)) )),
% 58.13/9.48 inference(equality_resolution,[],[f62215])).
% 58.13/9.48 tff(f62215,plain,(
% 58.13/9.48 ( ! [X2 : int,X0 : int,X1 : int] : (zero_zero(int) = X2 | zero_zero(int) != X1 | ~dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f44515])).
% 58.13/9.48 tff(f44515,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2) | (zero_zero(int) != X2 & zero_zero(int) = X1) | ~dvd_dvd(int,X0,X2)) & (((zero_zero(int) = X2 | zero_zero(int) != X1) & dvd_dvd(int,X0,X2)) | ~dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2)))),
% 58.13/9.48 inference(flattening,[],[f44514])).
% 58.13/9.48 tff(f44514,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : ((dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2) | ((zero_zero(int) != X2 & zero_zero(int) = X1) | ~dvd_dvd(int,X0,X2))) & (((zero_zero(int) = X2 | zero_zero(int) != X1) & dvd_dvd(int,X0,X2)) | ~dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2)))),
% 58.13/9.48 inference(nnf_transformation,[],[f35900])).
% 58.13/9.48 tff(f35900,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : (dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2) <=> ((zero_zero(int) = X2 | zero_zero(int) != X1) & dvd_dvd(int,X0,X2)))),
% 58.13/9.48 inference(ennf_transformation,[],[f26680])).
% 58.13/9.48 tff(f26680,plain,(
% 58.13/9.48 ! [X0 : int,X1 : int,X2 : int] : (dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1)),X2) <=> ((zero_zero(int) = X1 => zero_zero(int) = X2) & dvd_dvd(int,X0,X2)))),
% 58.13/9.48 inference(rectify,[],[f4593])).
% 58.13/9.48 tff(f4593,axiom,(
% 58.13/9.48 ! [X14 : int,X92 : int,X24 : int] : (dvd_dvd(int,aa(int,int,aa(int,fun(int,int),times_times(int),X14),aa(int,int,sgn_sgn(int),X92)),X24) <=> ((zero_zero(int) = X92 => zero_zero(int) = X24) & dvd_dvd(int,X14,X24)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4592_mult__sgn__dvd__iff)).
% 58.13/9.48 tff(f95685,plain,(
% 58.13/9.48 spl5880_3105),
% 58.13/9.48 inference(avatar_split_clause,[],[f73258,f95683])).
% 58.13/9.48 tff(f73258,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_i_n_t(X0) = iG1228($true) | sP2054(vEBT_T_m_i_n_t(X0),X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f69161,f67101])).
% 58.13/9.48 tff(f69161,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_i_n_t(X0) | sP2054(vEBT_T_m_i_n_t(X0),X0)) )),
% 58.13/9.48 inference(duplicate_literal_removal,[],[f68191])).
% 58.13/9.48 tff(f68191,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_i_n_t(X0) | one_one(nat) = vEBT_T_m_i_n_t(X0) | sP2054(vEBT_T_m_i_n_t(X0),X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f58193])).
% 58.13/9.48 tff(f58193,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X1 | sP2054(X1,X0) | vEBT_T_m_i_n_t(X0) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41677])).
% 58.13/9.48 tff(f41677,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = 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),sK3767(X0)),sK3768(X0))),sK3769(X0),sK3770(X0),sK3771(X0)) = X0) | (one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK3772(X0),sK3773(X0),sK3774(X0)) = X0) | sP2054(X1,X0) | vEBT_T_m_i_n_t(X0) != X1)),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3767,sK3768,sK3769,sK3770,sK3771,sK3772,sK3773,sK3774])],[f41674,f41676,f41675])).
% 58.13/9.48 tff(f41675,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),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),sK3767(X0)),sK3768(X0))),sK3769(X0),sK3770(X0),sK3771(X0)) = X0)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41676,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT] : (? [X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X7,X8,X9) = X0 => vEBT_Node(none(product_prod(nat,nat)),sK3772(X0),sK3773(X0),sK3774(X0)) = X0)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41674,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),X4,X5,X6) = X0) | (one_one(nat) = X1 & ? [X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X7,X8,X9) = X0) | sP2054(X1,X0) | vEBT_T_m_i_n_t(X0) != X1)),
% 58.13/9.48 inference(rectify,[],[f37289])).
% 58.13/9.48 tff(f37289,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | sP2054(X1,X0) | vEBT_T_m_i_n_t(X0) != X1)),
% 58.13/9.48 inference(definition_folding,[],[f33808,f37288])).
% 58.13/9.48 tff(f33808,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X1 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X0) | vEBT_T_m_i_n_t(X0) != X1)),
% 58.13/9.48 inference(flattening,[],[f33807])).
% 58.13/9.48 tff(f33807,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0)) | ? [X2 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) = X1 & ? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X0)) | vEBT_T_m_i_n_t(X0) != X1)),
% 58.13/9.48 inference(ennf_transformation,[],[f15490])).
% 58.13/9.48 tff(f15490,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_i_n_t(X0) = X1 => (! [X2 : $o] : (? [X3 : $o] : vEBT_Leaf(bG889(X2),bG890(X3)) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG891(X2)) != X1) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0 => one_one(nat) != X1))))),
% 58.13/9.48 inference(fool_elimination,[],[f15486,f15489,f15488,f15487])).
% 58.13/9.48 tff(f15487,plain,(
% 58.13/9.48 ! [X2 : $o] : (($true = X2) <=> ($true = bG889(X2)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG889])])).
% 58.13/9.48 tff(f15488,plain,(
% 58.13/9.48 ! [X3 : $o] : (($true = X3) <=> ($true = bG890(X3)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG890])])).
% 58.13/9.48 tff(f15489,plain,(
% 58.13/9.48 ! [X2 : $o] : (~($true = X2) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG891(X2)) & ! [X2 : $o] : (($true = X2) => zero_zero(nat) = iG891(X2))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG891])])).
% 58.13/9.48 tff(f15486,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_i_n_t(X0) = X1 => (! [X2] : (? [X3] : X0 = vEBT_Leaf(X2,X3) => X1 != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X2, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0 => one_one(nat) != X1))))),
% 58.13/9.48 inference(rectify,[],[f1407])).
% 58.13/9.48 tff(f1407,axiom,(
% 58.13/9.48 ! [X9 : vEBT_VEBT,X18 : nat] : (vEBT_T_m_i_n_t(X9) = X18 => (! [X106 : $o] : (? [X107 : $o] : X9 = vEBT_Leaf(X106,X107) => X18 != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X106, zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))) => ((? [X115 : nat,X116 : list(vEBT_VEBT),X117 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X115,X116,X117) = X9 => one_one(nat) != X18) => ~(? [X134 : nat,X135 : nat,X145 : nat,X146 : list(vEBT_VEBT),X170 : 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),X134),X135)),X145,X146,X170) = X9 => one_one(nat) != X18))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1406_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062t_Oelims)).
% 58.13/9.48 tff(f95680,plain,(
% 58.13/9.48 spl5880_3104),
% 58.13/9.48 inference(avatar_split_clause,[],[f73217,f95678])).
% 58.13/9.48 tff(f73217,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (vEBT_T_m_a_x_t(X0) = iG1228($true) | sP2040(vEBT_T_m_a_x_t(X0),X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f69163,f67101])).
% 58.13/9.48 tff(f69163,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_a_x_t(X0) | sP2040(vEBT_T_m_a_x_t(X0),X0)) )),
% 58.13/9.48 inference(duplicate_literal_removal,[],[f68167])).
% 58.13/9.48 tff(f68167,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT] : (one_one(nat) = vEBT_T_m_a_x_t(X0) | one_one(nat) = vEBT_T_m_a_x_t(X0) | sP2040(vEBT_T_m_a_x_t(X0),X0)) )),
% 58.13/9.48 inference(equality_resolution,[],[f58132])).
% 58.13/9.48 tff(f58132,plain,(
% 58.13/9.48 ( ! [X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X1 | sP2040(X1,X0) | vEBT_T_m_a_x_t(X0) != X1) )),
% 58.13/9.48 inference(cnf_transformation,[],[f41612])).
% 58.13/9.48 tff(f41612,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = 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),sK3725(X0)),sK3726(X0))),sK3727(X0),sK3728(X0),sK3729(X0)) = X0) | (one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK3730(X0),sK3731(X0),sK3732(X0)) = X0) | sP2040(X1,X0) | vEBT_T_m_a_x_t(X0) != X1)),
% 58.13/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3725,sK3726,sK3727,sK3728,sK3729,sK3730,sK3731,sK3732])],[f41609,f41611,f41610])).
% 58.13/9.48 tff(f41610,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),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),sK3725(X0)),sK3726(X0))),sK3727(X0),sK3728(X0),sK3729(X0)) = X0)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41611,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT] : (? [X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X7,X8,X9) = X0 => vEBT_Node(none(product_prod(nat,nat)),sK3730(X0),sK3731(X0),sK3732(X0)) = X0)),
% 58.13/9.48 introduced(choice_axiom,[])).
% 58.13/9.48 tff(f41609,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),X4,X5,X6) = X0) | (one_one(nat) = X1 & ? [X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X7,X8,X9) = X0) | sP2040(X1,X0) | vEBT_T_m_a_x_t(X0) != X1)),
% 58.13/9.48 inference(rectify,[],[f37268])).
% 58.13/9.48 tff(f37268,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | sP2040(X1,X0) | vEBT_T_m_a_x_t(X0) != X1)),
% 58.13/9.48 inference(definition_folding,[],[f33794,f37267])).
% 58.13/9.48 tff(f33794,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X1 & vEBT_Leaf(bG869(X2),bG870(X3)) = X0) | vEBT_T_m_a_x_t(X0) != X1)),
% 58.13/9.48 inference(flattening,[],[f33793])).
% 58.13/9.48 tff(f33793,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : ((((one_one(nat) = X1 & ? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0) | (one_one(nat) = X1 & ? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0)) | ? [X2 : $o,X3 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) = X1 & vEBT_Leaf(bG869(X2),bG870(X3)) = X0)) | vEBT_T_m_a_x_t(X0) != X1)),
% 58.13/9.48 inference(ennf_transformation,[],[f15456])).
% 58.13/9.48 tff(f15456,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_a_x_t(X0) = X1 => (! [X2 : $o,X3 : $o] : (vEBT_Leaf(bG869(X2),bG870(X3)) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG871(X3)) != X1) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0 => one_one(nat) != X1))))),
% 58.13/9.48 inference(fool_elimination,[],[f15452,f15455,f15454,f15453])).
% 58.13/9.48 tff(f15453,plain,(
% 58.13/9.48 ! [X2 : $o] : (($true = X2) <=> ($true = bG869(X2)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG869])])).
% 58.13/9.48 tff(f15454,plain,(
% 58.13/9.48 ! [X3 : $o] : (($true = X3) <=> ($true = bG870(X3)))),
% 58.13/9.48 introduced(fool_formula_definition,[new_symbols(definition,[bG870])])).
% 58.13/9.48 tff(f15455,plain,(
% 58.13/9.48 ! [X3 : $o] : (~($true = X3) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG871(X3)) & ! [X3 : $o] : (($true = X3) => one_one(nat) = iG871(X3))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG871])])).
% 58.13/9.48 tff(f15452,plain,(
% 58.13/9.48 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_T_m_a_x_t(X0) = X1 => (! [X2,X3] : (X0 = vEBT_Leaf(X2,X3) => X1 != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X3, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))) => ((? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0 => one_one(nat) != X1) => ~(? [X7 : nat,X8 : nat,X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X9,X10,X11) = X0 => one_one(nat) != X1))))),
% 58.13/9.48 inference(rectify,[],[f1521])).
% 58.13/9.48 tff(f1521,axiom,(
% 58.13/9.48 ! [X9 : vEBT_VEBT,X18 : nat] : (vEBT_T_m_a_x_t(X9) = X18 => (! [X106 : $o,X107 : $o] : (X9 = vEBT_Leaf(X106,X107) => X18 != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),$ite(X107, one_one(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))))) => ((? [X115 : nat,X116 : list(vEBT_VEBT),X117 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X115,X116,X117) = X9 => one_one(nat) != X18) => ~(? [X134 : nat,X135 : nat,X145 : nat,X146 : list(vEBT_VEBT),X170 : 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),X134),X135)),X145,X146,X170) = X9 => one_one(nat) != X18))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1520_T_092_060_094sub_062m_092_060_094sub_062a_092_060_094sub_062x_092_060_094sub_062t_Oelims)).
% 58.13/9.48 tff(f95676,plain,(
% 58.13/9.48 spl5880_3103),
% 58.13/9.48 inference(avatar_split_clause,[],[f72913,f95674])).
% 58.13/9.48 tff(f72913,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (iG625(X0,X1) = iG630(X0,X1)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f66077,f66076])).
% 58.13/9.48 tff(f66076,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (iG625(X0,X1) = aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),divide_divide(code_integer,X0,X1)),modulo_modulo(code_integer,X0,X1))) )),
% 58.13/9.48 inference(definition_unfolding,[],[f57175,f56888])).
% 58.13/9.48 tff(f56888,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (code_divmod_integer(X0,X1) = aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),divide_divide(code_integer,X0,X1)),modulo_modulo(code_integer,X0,X1))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f25441])).
% 58.13/9.48 tff(f25441,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : code_divmod_integer(X0,X1) = aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),divide_divide(code_integer,X0,X1)),modulo_modulo(code_integer,X0,X1))),
% 58.13/9.48 inference(rectify,[],[f5455])).
% 58.13/9.48 tff(f5455,axiom,(
% 58.13/9.48 ! [X24 : code_integer,X14 : code_integer] : code_divmod_integer(X24,X14) = aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),divide_divide(code_integer,X24,X14)),modulo_modulo(code_integer,X24,X14))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5454_divmod__integer__def)).
% 58.13/9.48 tff(f57175,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (code_divmod_integer(X0,X1) = iG625(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f14584])).
% 58.13/9.48 tff(f14584,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : code_divmod_integer(X0,X1) = iG625(X0,X1)),
% 58.13/9.48 inference(fool_elimination,[],[f14580,f14583,f14582,f14581])).
% 58.13/9.48 tff(f14581,plain,(
% 58.13/9.48 ! [X1 : code_integer,X0 : code_integer] : (~aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mr(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG623(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => code_divmod_abs(X0,X1) = iG623(X1,X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG623])])).
% 58.13/9.48 tff(f14582,plain,(
% 58.13/9.48 ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X1),iG623(X1,X0)) = iG624(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0) = iG624(X1,X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG624])])).
% 58.13/9.48 tff(f14580,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : code_divmod_integer(X0,X1) = $ite(zero_zero(code_integer) = X0, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)),$ite(zero_zero(code_integer) = X1, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X1),$ite(aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1), code_divmod_abs(X0,X1),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mr(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1))))))),
% 58.13/9.48 inference(rectify,[],[f5609])).
% 58.13/9.48 tff(f5609,axiom,(
% 58.13/9.48 ! [X24 : code_integer,X14 : code_integer] : code_divmod_integer(X24,X14) = $ite(zero_zero(code_integer) = X24, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)),$ite(zero_zero(code_integer) = X14, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X24),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X14),$ite(aa(code_integer,code_integer,sgn_sgn(code_integer),X24) = aa(code_integer,code_integer,sgn_sgn(code_integer),X14), code_divmod_abs(X24,X14),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mr(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X14)),code_divmod_abs(X24,X14))))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5608_divmod__integer__eq__cases)).
% 58.13/9.48 tff(f66077,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (iG630(X0,X1) = aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),divide_divide(code_integer,X0,X1)),modulo_modulo(code_integer,X0,X1))) )),
% 58.13/9.48 inference(definition_unfolding,[],[f57176,f56888])).
% 58.13/9.48 tff(f57176,plain,(
% 58.13/9.48 ( ! [X0 : code_integer,X1 : code_integer] : (code_divmod_integer(X0,X1) = iG630(X0,X1)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f14591])).
% 58.13/9.48 tff(f14591,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : code_divmod_integer(X0,X1) = iG630(X0,X1)),
% 58.13/9.48 inference(fool_elimination,[],[f14585,f14590,f14589,f14588,f14587,f14586])).
% 58.13/9.48 tff(f14586,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lu(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG626(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => code_divmod_abs(X0,X1) = iG626(X0,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG626])])).
% 58.13/9.48 tff(f14587,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lv(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG627(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => code_divmod_abs(X0,X1) = iG627(X0,X1))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG627])])).
% 58.13/9.48 tff(f14588,plain,(
% 58.13/9.48 ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG627(X0,X1)) = iG628(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0) = iG628(X1,X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG628])])).
% 58.13/9.48 tff(f14589,plain,(
% 58.13/9.48 ! [X1 : code_integer,X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X1)) => iG628(X1,X0) = iG629(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X1)) => iG626(X0,X1) = iG629(X1,X0))),
% 58.13/9.48 introduced(fool_ite_definition,[new_symbols(definition,[iG629])])).
% 58.13/9.48 tff(f14585,plain,(
% 58.13/9.48 ! [X0 : code_integer,X1 : code_integer] : code_divmod_integer(X0,X1) = $ite(zero_zero(code_integer) = X0, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X1), $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0), code_divmod_abs(X0,X1),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lu(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1))),$ite(zero_zero(code_integer) = X1, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)), code_divmod_abs(X0,X1),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lv(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)))))))),
% 58.13/9.48 inference(rectify,[],[f5477])).
% 58.13/9.48 tff(f5477,axiom,(
% 58.13/9.48 ! [X24 : code_integer,X14 : code_integer] : code_divmod_integer(X24,X14) = $ite(zero_zero(code_integer) = X24, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X14), $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X24), code_divmod_abs(X24,X14),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lu(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X14)),code_divmod_abs(X24,X14))),$ite(zero_zero(code_integer) = X14, aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X24),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),$ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X24),zero_zero(code_integer)), code_divmod_abs(X24,X14),aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lv(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X14)),code_divmod_abs(X24,X14)))))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5476_divmod__integer__code)).
% 58.13/9.48 tff(f95670,plain,(
% 58.13/9.48 spl5880_3102),
% 58.13/9.48 inference(avatar_split_clause,[],[f71968,f95668])).
% 58.13/9.48 tff(f71968,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (~dvd_dvd(nat,X0,iG1228($true)) | iG1228($true) = X0) )),
% 58.13/9.48 inference(forward_demodulation,[],[f71967,f67101])).
% 58.13/9.48 tff(f71967,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (iG1228($true) = X0 | ~dvd_dvd(nat,X0,one_one(nat))) )),
% 58.13/9.48 inference(forward_demodulation,[],[f56441,f67101])).
% 58.13/9.48 tff(f56441,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (one_one(nat) = X0 | ~dvd_dvd(nat,X0,one_one(nat))) )),
% 58.13/9.48 inference(cnf_transformation,[],[f40863])).
% 58.13/9.48 tff(f40863,plain,(
% 58.13/9.48 ! [X0 : nat] : ((dvd_dvd(nat,X0,one_one(nat)) | one_one(nat) != X0) & (one_one(nat) = X0 | ~dvd_dvd(nat,X0,one_one(nat))))),
% 58.13/9.48 inference(nnf_transformation,[],[f25196])).
% 58.13/9.48 tff(f25196,plain,(
% 58.13/9.48 ! [X0 : nat] : (dvd_dvd(nat,X0,one_one(nat)) <=> one_one(nat) = X0)),
% 58.13/9.48 inference(rectify,[],[f1890])).
% 58.13/9.48 tff(f1890,axiom,(
% 58.13/9.48 ! [X15 : nat] : (dvd_dvd(nat,X15,one_one(nat)) <=> one_one(nat) = X15)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1889_nat__dvd__1__iff__1)).
% 58.13/9.48 tff(f95665,plain,(
% 58.13/9.48 spl5880_3101),
% 58.13/9.48 inference(avatar_split_clause,[],[f71160,f95663])).
% 58.13/9.48 tff(f71160,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,iG1228($true)) = X1 | ~comm_semiring_1(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f54594,f67101])).
% 58.13/9.48 tff(f54594,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1 | ~comm_semiring_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31311])).
% 58.13/9.48 tff(f31311,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1 | ~comm_semiring_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f24633])).
% 58.13/9.48 tff(f24633,plain,(
% 58.13/9.48 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1)),
% 58.13/9.48 inference(rectify,[],[f4116])).
% 58.13/9.48 tff(f4116,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X11 : X0] : comm_s3205402744901411588hammer(X0,X11,one_one(nat)) = X11)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4115_pochhammer__1)).
% 58.13/9.48 tff(f95660,plain,(
% 58.13/9.48 spl5880_3100),
% 58.13/9.48 inference(avatar_split_clause,[],[f71098,f95658])).
% 58.13/9.48 tff(f71098,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG894($true)) | ~semiring_char_0(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f54554,f67338])).
% 58.13/9.48 tff(f54554,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31283])).
% 58.13/9.48 tff(f31283,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)) | ~semiring_char_0(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f3656])).
% 58.13/9.48 tff(f3656,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_char_0(X0) => one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3655_fact__0)).
% 58.13/9.48 tff(f95655,plain,(
% 58.13/9.48 spl5880_3099),
% 58.13/9.48 inference(avatar_split_clause,[],[f71097,f95653])).
% 58.13/9.48 tff(f71097,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,iG1228($true)) | ~semiring_char_0(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f54553,f67101])).
% 58.13/9.48 tff(f54553,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,one_one(nat)) | ~semiring_char_0(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f31282])).
% 58.13/9.48 tff(f31282,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,one_one(nat)) | ~semiring_char_0(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f3657])).
% 58.13/9.48 tff(f3657,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (semiring_char_0(X0) => one_one(X0) = semiring_char_0_fact(X0,one_one(nat)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3656_fact__1)).
% 58.13/9.48 tff(f95650,plain,(
% 58.13/9.48 spl5880_3098),
% 58.13/9.48 inference(avatar_split_clause,[],[f70701,f95648])).
% 58.13/9.48 tff(f70701,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,iG1228($true)) | ~bit_se359711467146920520ations(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f70700,f69743])).
% 58.13/9.48 tff(f70700,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,iG894($true))) | ~bit_se359711467146920520ations(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f52710,f67338])).
% 58.13/9.48 tff(f52710,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))) | ~bit_se359711467146920520ations(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29861])).
% 58.13/9.48 tff(f29861,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f2936])).
% 58.13/9.48 tff(f2936,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2935_mask__Suc__0)).
% 58.13/9.48 tff(f95645,plain,(
% 58.13/9.48 spl5880_3097),
% 58.13/9.48 inference(avatar_split_clause,[],[f70697,f95643])).
% 58.13/9.48 tff(f70697,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,iG894($true)) | ~bit_se359711467146920520ations(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f52707,f67338])).
% 58.13/9.48 tff(f52707,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f29858])).
% 58.13/9.48 tff(f29858,plain,(
% 58.13/9.48 ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f2929])).
% 58.13/9.48 tff(f2929,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2928_mask__0)).
% 58.13/9.48 tff(f95641,plain,(
% 58.13/9.48 spl5880_3096),
% 58.13/9.48 inference(avatar_split_clause,[],[f70356,f95639])).
% 58.13/9.48 tff(f95639,plain,(
% 58.13/9.48 spl5880_3096 <=> ! [X0 : $tType] : (real_V7770717601297561774m_norm(X0,one_one(X0)) = im(imaginary_unit) | ~real_V2822296259951069270ebra_1(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3096])])).
% 58.13/9.48 tff(f70356,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (real_V7770717601297561774m_norm(X0,one_one(X0)) = im(imaginary_unit) | ~real_V2822296259951069270ebra_1(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f51105,f50004])).
% 58.13/9.48 tff(f51105,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28471])).
% 58.13/9.48 tff(f28471,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f3337])).
% 58.13/9.48 tff(f3337,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3336_norm__one)).
% 58.13/9.48 tff(f95637,plain,(
% 58.13/9.48 spl5880_3095),
% 58.13/9.48 inference(avatar_split_clause,[],[f70326,f95635])).
% 58.13/9.48 tff(f95635,plain,(
% 58.13/9.48 spl5880_3095 <=> ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,im(imaginary_unit),X1) = X1 | ~real_V4867850818363320053vector(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3095])])).
% 58.13/9.48 tff(f70326,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,im(imaginary_unit),X1) = X1 | ~real_V4867850818363320053vector(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50889,f50004])).
% 58.13/9.48 tff(f50889,plain,(
% 58.13/9.48 ( ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1 | ~real_V4867850818363320053vector(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28328])).
% 58.13/9.48 tff(f28328,plain,(
% 58.13/9.48 ! [X0 : $tType] : (! [X1 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1 | ~real_V4867850818363320053vector(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f23190])).
% 58.13/9.48 tff(f23190,plain,(
% 58.13/9.48 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1)),
% 58.13/9.48 inference(rectify,[],[f4031])).
% 58.13/9.48 tff(f4031,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X9 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X9) = X9)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4030_scaleR__one)).
% 58.13/9.48 tff(f95633,plain,(
% 58.13/9.48 spl5880_3094),
% 58.13/9.48 inference(avatar_split_clause,[],[f70325,f95631])).
% 58.13/9.48 tff(f95631,plain,(
% 58.13/9.48 spl5880_3094 <=> ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,im(imaginary_unit)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3094])])).
% 58.13/9.48 tff(f70325,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,im(imaginary_unit)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50888,f50004])).
% 58.13/9.48 tff(f50888,plain,(
% 58.13/9.48 ( ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,one_one(real)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f28327])).
% 58.13/9.48 tff(f28327,plain,(
% 58.13/9.48 ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,one_one(real)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.48 inference(ennf_transformation,[],[f3659])).
% 58.13/9.48 tff(f3659,axiom,(
% 58.13/9.48 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => one_one(X0) = real_Vector_of_real(X0,one_one(real)))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3658_of__real__1)).
% 58.13/9.48 tff(f95628,plain,(
% 58.13/9.48 spl5880_3093),
% 58.13/9.48 inference(avatar_split_clause,[],[f69895,f95626])).
% 58.13/9.48 tff(f69895,plain,(
% 58.13/9.48 ( ! [X0 : real] : (aa(real,real,root(iG1228($true)),X0) = X0) )),
% 58.13/9.48 inference(forward_demodulation,[],[f69894,f69743])).
% 58.13/9.48 tff(f69894,plain,(
% 58.13/9.48 ( ! [X0 : real] : (aa(real,real,root(aa(nat,nat,suc,iG894($true))),X0) = X0) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50279,f67338])).
% 58.13/9.48 tff(f50279,plain,(
% 58.13/9.48 ( ! [X0 : real] : (aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X0) = X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22809])).
% 58.13/9.48 tff(f22809,plain,(
% 58.13/9.48 ! [X0 : real] : aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X0) = X0),
% 58.13/9.48 inference(rectify,[],[f4572])).
% 58.13/9.48 tff(f4572,axiom,(
% 58.13/9.48 ! [X9 : real] : aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X9) = X9),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4571_real__root__Suc__0)).
% 58.13/9.48 tff(f95623,plain,(
% 58.13/9.48 spl5880_3092),
% 58.13/9.48 inference(avatar_split_clause,[],[f69879,f95621])).
% 58.13/9.48 tff(f69879,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),iG1228($true)) = X0) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50246,f67101])).
% 58.13/9.48 tff(f50246,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),one_one(nat)) = X0) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22777])).
% 58.13/9.48 tff(f22777,plain,(
% 58.13/9.48 ! [X0 : nat] : aa(nat,nat,binomial(X0),one_one(nat)) = X0),
% 58.13/9.48 inference(rectify,[],[f3889])).
% 58.13/9.48 tff(f3889,axiom,(
% 58.13/9.48 ! [X8 : nat] : aa(nat,nat,binomial(X8),one_one(nat)) = X8),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3888_choose__one)).
% 58.13/9.48 tff(f95618,plain,(
% 58.13/9.48 spl5880_3091),
% 58.13/9.48 inference(avatar_split_clause,[],[f69878,f95616])).
% 58.13/9.48 tff(f69878,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),X0) = iG1228($true)) )),
% 58.13/9.48 inference(forward_demodulation,[],[f50240,f67101])).
% 58.13/9.48 tff(f50240,plain,(
% 58.13/9.48 ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),X0)) )),
% 58.13/9.48 inference(cnf_transformation,[],[f22771])).
% 58.13/9.48 tff(f22771,plain,(
% 58.13/9.48 ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),X0)),
% 58.13/9.48 inference(rectify,[],[f3874])).
% 58.13/9.48 tff(f3874,axiom,(
% 58.13/9.48 ! [X8 : nat] : one_one(nat) = aa(nat,nat,binomial(X8),X8)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3873_binomial__n__n)).
% 58.13/9.48 tff(f95614,plain,(
% 58.13/9.48 spl5880_3090),
% 58.13/9.48 inference(avatar_split_clause,[],[f69841,f95611])).
% 58.13/9.48 tff(f69841,plain,(
% 58.13/9.48 vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),na)),
% 58.13/9.48 inference(forward_demodulation,[],[f65766,f65717])).
% 58.13/9.48 tff(f65766,plain,(
% 58.13/9.48 vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),na)),
% 58.13/9.48 inference(definition_unfolding,[],[f50164,f56860])).
% 58.13/9.48 tff(f50164,plain,(
% 58.13/9.48 vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.48 inference(cnf_transformation,[],[f7])).
% 58.13/9.48 tff(f7,axiom,(
% 58.13/9.48 vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062)).
% 58.13/9.48 tff(f95609,plain,(
% 58.13/9.48 spl5880_3089),
% 58.13/9.48 inference(avatar_split_clause,[],[f69779,f95606])).
% 58.13/9.48 tff(f95606,plain,(
% 58.13/9.48 spl5880_3089 <=> aa(real,real,arccos,zero_zero(real)) = iG303(imaginary_unit)),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3089])])).
% 58.13/9.48 tff(f69779,plain,(
% 58.13/9.48 aa(real,real,arccos,zero_zero(real)) = iG303(imaginary_unit)),
% 58.13/9.48 inference(forward_demodulation,[],[f50090,f65754])).
% 58.13/9.48 tff(f50090,plain,(
% 58.13/9.48 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real))),
% 58.13/9.48 inference(cnf_transformation,[],[f3885])).
% 58.13/9.48 tff(f3885,axiom,(
% 58.13/9.48 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3884_arccos__0)).
% 58.13/9.48 tff(f95604,plain,(
% 58.13/9.48 spl5880_3088),
% 58.13/9.48 inference(avatar_split_clause,[],[f69778,f95601])).
% 58.13/9.48 tff(f95601,plain,(
% 58.13/9.48 spl5880_3088 <=> iG303(imaginary_unit) = aa(real,real,arcsin,im(imaginary_unit))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3088])])).
% 58.13/9.48 tff(f69778,plain,(
% 58.13/9.48 iG303(imaginary_unit) = aa(real,real,arcsin,im(imaginary_unit))),
% 58.13/9.48 inference(forward_demodulation,[],[f69777,f65754])).
% 58.13/9.48 tff(f69777,plain,(
% 58.13/9.48 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,im(imaginary_unit))),
% 58.13/9.48 inference(forward_demodulation,[],[f50089,f50004])).
% 58.13/9.48 tff(f50089,plain,(
% 58.13/9.48 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real))),
% 58.13/9.48 inference(cnf_transformation,[],[f3886])).
% 58.13/9.48 tff(f3886,axiom,(
% 58.13/9.48 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real))),
% 58.13/9.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3885_arcsin__1)).
% 58.13/9.48 tff(f95599,plain,(
% 58.13/9.48 spl5880_3087),
% 58.13/9.48 inference(avatar_split_clause,[],[f69752,f95596])).
% 58.13/9.48 tff(f95596,plain,(
% 58.13/9.48 spl5880_3087 <=> pi = aa(real,real,arccos,cos(real,pi))),
% 58.13/9.48 introduced(avatar_definition,[new_symbols(naming,[spl5880_3087])])).
% 58.13/9.48 tff(f69752,plain,(
% 58.13/9.48 pi = aa(real,real,arccos,cos(real,pi))),
% 58.13/9.49 inference(forward_demodulation,[],[f69751,f69747])).
% 58.13/9.49 tff(f69751,plain,(
% 58.13/9.49 pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 58.13/9.49 inference(forward_demodulation,[],[f50059,f50004])).
% 58.13/9.49 tff(f50059,plain,(
% 58.13/9.49 pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 58.13/9.49 inference(cnf_transformation,[],[f3882])).
% 58.13/9.49 tff(f3882,axiom,(
% 58.13/9.49 pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3881_arccos__minus__1)).
% 58.13/9.49 tff(f95593,plain,(
% 58.13/9.49 spl5880_3086),
% 58.13/9.49 inference(avatar_split_clause,[],[f69745,f95590])).
% 58.13/9.49 tff(f69745,plain,(
% 58.13/9.49 aa(num,nat,size_size(num),one2) = iG894($true)),
% 58.13/9.49 inference(forward_demodulation,[],[f50045,f67338])).
% 58.13/9.49 tff(f50045,plain,(
% 58.13/9.49 zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 58.13/9.49 inference(cnf_transformation,[],[f1089])).
% 58.13/9.49 tff(f1089,axiom,(
% 58.13/9.49 zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1088_num_Osize_I4_J)).
% 58.13/9.49 tff(f95588,plain,(
% 58.13/9.49 spl5880_3085),
% 58.13/9.49 inference(avatar_split_clause,[],[f69744,f95585])).
% 58.13/9.49 tff(f95585,plain,(
% 58.13/9.49 spl5880_3085 <=> zero_zero(real) = aa(real,real,arccos,im(imaginary_unit))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3085])])).
% 58.13/9.49 tff(f69744,plain,(
% 58.13/9.49 zero_zero(real) = aa(real,real,arccos,im(imaginary_unit))),
% 58.13/9.49 inference(forward_demodulation,[],[f50043,f50004])).
% 58.13/9.49 tff(f50043,plain,(
% 58.13/9.49 zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 58.13/9.49 inference(cnf_transformation,[],[f3880])).
% 58.13/9.49 tff(f3880,axiom,(
% 58.13/9.49 zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3879_arccos__1)).
% 58.13/9.49 tff(f95581,plain,(
% 58.13/9.49 spl5880_3084),
% 58.13/9.49 inference(avatar_split_clause,[],[f69743,f95578])).
% 58.13/9.49 tff(f95575,plain,(
% 58.13/9.49 spl5880_3083),
% 58.13/9.49 inference(avatar_split_clause,[],[f69741,f95572])).
% 58.13/9.49 tff(f69741,plain,(
% 58.13/9.49 aa(int,nat,nat2,one_one(int)) = iG1228($true)),
% 58.13/9.49 inference(forward_demodulation,[],[f50041,f67101])).
% 58.13/9.49 tff(f50041,plain,(
% 58.13/9.49 one_one(nat) = aa(int,nat,nat2,one_one(int))),
% 58.13/9.49 inference(cnf_transformation,[],[f4644])).
% 58.13/9.49 tff(f4644,axiom,(
% 58.13/9.49 one_one(nat) = aa(int,nat,nat2,one_one(int))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4643_nat__one__as__int)).
% 58.13/9.49 tff(f95569,plain,(
% 58.13/9.49 spl5880_3082),
% 58.13/9.49 inference(avatar_split_clause,[],[f69740,f95566])).
% 58.13/9.49 tff(f69740,plain,(
% 58.13/9.49 aa(num,nat,numeral_numeral(nat),one2) = iG1228($true)),
% 58.13/9.49 inference(forward_demodulation,[],[f50040,f67101])).
% 58.13/9.49 tff(f50040,plain,(
% 58.13/9.49 one_one(nat) = aa(num,nat,numeral_numeral(nat),one2)),
% 58.13/9.49 inference(cnf_transformation,[],[f535])).
% 58.13/9.49 tff(f535,axiom,(
% 58.13/9.49 one_one(nat) = aa(num,nat,numeral_numeral(nat),one2)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_534_numerals_I1_J)).
% 58.13/9.49 tff(f95564,plain,(
% 58.13/9.49 spl5880_3081),
% 58.13/9.49 inference(avatar_split_clause,[],[f69739,f95561])).
% 58.13/9.49 tff(f95561,plain,(
% 58.13/9.49 spl5880_3081 <=> im(imaginary_unit) = aa(real,real,sqrt,im(imaginary_unit))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3081])])).
% 58.13/9.49 tff(f69739,plain,(
% 58.13/9.49 im(imaginary_unit) = aa(real,real,sqrt,im(imaginary_unit))),
% 58.13/9.49 inference(forward_demodulation,[],[f50039,f50004])).
% 58.13/9.49 tff(f50039,plain,(
% 58.13/9.49 one_one(real) = aa(real,real,sqrt,one_one(real))),
% 58.13/9.49 inference(cnf_transformation,[],[f3760])).
% 58.13/9.49 tff(f3760,axiom,(
% 58.13/9.49 one_one(real) = aa(real,real,sqrt,one_one(real))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3759_real__sqrt__one)).
% 58.13/9.49 tff(f95556,plain,(
% 58.13/9.49 ~spl5880_3080 | ~spl5880_1536 | spl5880_3079),
% 58.13/9.49 inference(avatar_split_clause,[],[f95551,f95546,f86300,f95553])).
% 58.13/9.49 tff(f95546,plain,(
% 58.13/9.49 spl5880_3079 <=> ($true = bG323(aa(nat,nat,suc,iG894($true))))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3079])])).
% 58.13/9.49 tff(f95551,plain,(
% 58.13/9.49 ($true != bG323(iG714($true))) | (~spl5880_1536 | spl5880_3079)),
% 58.13/9.49 inference(forward_demodulation,[],[f95550,f86302])).
% 58.13/9.49 tff(f95550,plain,(
% 58.13/9.49 ($true != bG323(iG1228($true))) | spl5880_3079),
% 58.13/9.49 inference(forward_demodulation,[],[f95548,f69743])).
% 58.13/9.49 tff(f95548,plain,(
% 58.13/9.49 ($true != bG323(aa(nat,nat,suc,iG894($true)))) | spl5880_3079),
% 58.13/9.49 inference(avatar_component_clause,[],[f95546])).
% 58.13/9.49 tff(f95549,plain,(
% 58.13/9.49 ~spl5880_3079),
% 58.13/9.49 inference(avatar_split_clause,[],[f69678,f95546])).
% 58.13/9.49 tff(f69678,plain,(
% 58.13/9.49 ($true != bG323(aa(nat,nat,suc,iG894($true))))),
% 58.13/9.49 inference(forward_demodulation,[],[f67699,f67338])).
% 58.13/9.49 tff(f67699,plain,(
% 58.13/9.49 ($true != bG323(aa(nat,nat,suc,zero_zero(nat))))),
% 58.13/9.49 inference(equality_resolution,[],[f49143])).
% 58.13/9.49 tff(f49143,plain,(
% 58.13/9.49 ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != X0 | ($true != bG323(X0))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38681])).
% 58.13/9.49 tff(f95543,plain,(
% 58.13/9.49 spl5880_3078),
% 58.13/9.49 inference(avatar_split_clause,[],[f69669,f95541])).
% 58.13/9.49 tff(f69669,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X5 : X4] : ((bG413(X4,X5) = iG414(X4,iG894($true),X5))) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67678,f67338])).
% 58.13/9.49 tff(f67678,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X5 : X4] : ((bG413(X4,X5) = iG414(X4,zero_zero(nat),X5))) )),
% 58.13/9.49 inference(equality_resolution,[],[f48964])).
% 58.13/9.49 tff(f48964,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X3 : nat,X5 : X4] : ((bG413(X4,X5) = iG414(X4,X3,X5)) | zero_zero(nat) != X3) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28028])).
% 58.13/9.49 tff(f28028,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $tType,X2 : X1] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG414(X1,X0,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $tType,X5 : X4] : ((bG413(X4,X5) = iG414(X4,X3,X5)) | zero_zero(nat) != X3)),
% 58.13/9.49 inference(ennf_transformation,[],[f22497])).
% 58.13/9.49 tff(f22497,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $tType,X2 : X1] : (zero_zero(nat) != X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG414(X1,X0,X2))) & ! [X3 : nat,X4 : $tType,X5 : X4] : (zero_zero(nat) = X3 => (bG413(X4,X5) = iG414(X4,X3,X5)))),
% 58.13/9.49 inference(flattening,[],[f22496])).
% 58.13/9.49 tff(f22496,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $tType,X2 : X1] : (~zero_zero(nat) = X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG414(X1,X0,X2))) & ! [X3 : nat,X4 : $tType,X5 : X4] : (zero_zero(nat) = X3 => (bG413(X4,X5) = iG414(X4,X3,X5)))),
% 58.13/9.49 inference(rectify,[],[f11138])).
% 58.13/9.49 tff(f95538,plain,(
% 58.13/9.49 spl5880_3077),
% 58.13/9.49 inference(avatar_split_clause,[],[f69648,f95536])).
% 58.13/9.49 tff(f69648,plain,(
% 58.13/9.49 ( ! [X0 : $o,X1 : nat] : (iG894($true) = X1 | ($true != bG461(X0,X1))) )),
% 58.13/9.49 inference(forward_demodulation,[],[f48844,f67338])).
% 58.13/9.49 tff(f48844,plain,(
% 58.13/9.49 ( ! [X0 : $o,X1 : nat] : (zero_zero(nat) = X1 | ($true != bG461(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38632])).
% 58.13/9.49 tff(f38632,plain,(
% 58.13/9.49 ! [X0 : $o,X1 : nat] : (((($true = X0) & zero_zero(nat) = X1) | ($true != bG461(X0,X1))) & (($true = bG461(X0,X1)) | ($true != X0) | zero_zero(nat) != X1))),
% 58.13/9.49 inference(flattening,[],[f38631])).
% 58.13/9.49 tff(f38631,plain,(
% 58.13/9.49 ! [X0 : $o,X1 : nat] : (((($true = X0) & zero_zero(nat) = X1) | ($true != bG461(X0,X1))) & (($true = bG461(X0,X1)) | (($true != X0) | zero_zero(nat) != X1)))),
% 58.13/9.49 inference(nnf_transformation,[],[f22416])).
% 58.13/9.49 tff(f22416,plain,(
% 58.13/9.49 ! [X0 : $o,X1 : nat] : ((($true = X0) & zero_zero(nat) = X1) <=> ($true = bG461(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f11363])).
% 58.13/9.49 tff(f11363,plain,(
% 58.13/9.49 ! [X2 : $o,X1 : nat] : ((($true = X2) & zero_zero(nat) = X1) <=> ($true = bG461(X2,X1)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG461])])).
% 58.13/9.49 tff(f95534,plain,(
% 58.13/9.49 spl5880_3076),
% 58.13/9.49 inference(avatar_split_clause,[],[f69570,f95532])).
% 58.13/9.49 tff(f95532,plain,(
% 58.13/9.49 spl5880_3076 <=> ! [X3 : int] : iG673(iG1564(zero_zero(int),one_one(int)),X3) = X3),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3076])])).
% 58.13/9.49 tff(f69570,plain,(
% 58.13/9.49 ( ! [X3 : int] : (iG673(iG1564(zero_zero(int),one_one(int)),X3) = X3) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67491,f66895])).
% 58.13/9.49 tff(f67491,plain,(
% 58.13/9.49 ( ! [X3 : int] : (iG673(aa(int,int,uminus_uminus(int),one_one(int)),X3) = X3) )),
% 58.13/9.49 inference(equality_resolution,[],[f48411])).
% 58.13/9.49 tff(f48411,plain,(
% 58.13/9.49 ( ! [X2 : int,X3 : int] : (iG673(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27871])).
% 58.13/9.49 tff(f27871,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG673(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (iG673(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f22104])).
% 58.13/9.49 tff(f22104,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG673(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG673(X2,X3) = X3)),
% 58.13/9.49 inference(flattening,[],[f22103])).
% 58.13/9.49 tff(f22103,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG673(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG673(X2,X3) = X3)),
% 58.13/9.49 inference(rectify,[],[f14697])).
% 58.13/9.49 tff(f95530,plain,(
% 58.13/9.49 spl5880_3075),
% 58.13/9.49 inference(avatar_split_clause,[],[f69568,f95528])).
% 58.13/9.49 tff(f95528,plain,(
% 58.13/9.49 spl5880_3075 <=> ! [X3 : int] : iG674(iG1564(zero_zero(int),one_one(int)),X3) = X3),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3075])])).
% 58.13/9.49 tff(f69568,plain,(
% 58.13/9.49 ( ! [X3 : int] : (iG674(iG1564(zero_zero(int),one_one(int)),X3) = X3) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67490,f66895])).
% 58.13/9.49 tff(f67490,plain,(
% 58.13/9.49 ( ! [X3 : int] : (iG674(aa(int,int,uminus_uminus(int),one_one(int)),X3) = X3) )),
% 58.13/9.49 inference(equality_resolution,[],[f48409])).
% 58.13/9.49 tff(f48409,plain,(
% 58.13/9.49 ( ! [X2 : int,X3 : int] : (iG674(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27870])).
% 58.13/9.49 tff(f95525,plain,(
% 58.13/9.49 spl5880_3074),
% 58.13/9.49 inference(avatar_split_clause,[],[f69441,f95523])).
% 58.13/9.49 tff(f69441,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1074(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67191,f67101])).
% 58.13/9.49 tff(f67191,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1074(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47566])).
% 58.13/9.49 tff(f47566,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1074(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27691])).
% 58.13/9.49 tff(f27691,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1073(X2,X1,X0,X3,X4)) = iG1074(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1074(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f21543])).
% 58.13/9.49 tff(f21543,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1073(X2,X1,X0,X3,X4)) = iG1074(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1074(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f21542])).
% 58.13/9.49 tff(f21542,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1073(X2,X1,X0,X3,X4)) = iG1074(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1074(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f17396])).
% 58.13/9.49 tff(f17396,plain,(
% 58.13/9.49 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1073(X14,X1,X15,X16,X17)) = iG1074(X15,X1,X14,X16,X17)) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => one_one(nat) = iG1074(X15,X1,X14,X16,X17))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1074])])).
% 58.13/9.49 tff(f95520,plain,(
% 58.13/9.49 spl5880_3073),
% 58.13/9.49 inference(avatar_split_clause,[],[f69439,f95518])).
% 58.13/9.49 tff(f69439,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1075(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67190,f67101])).
% 58.13/9.49 tff(f67190,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1075(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47564])).
% 58.13/9.49 tff(f47564,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1075(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27690])).
% 58.13/9.49 tff(f27690,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1074(X2,X1,X0,X3,X4)) = iG1075(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1075(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f21541])).
% 58.13/9.49 tff(f21541,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1074(X2,X1,X0,X3,X4)) = iG1075(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1075(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f21540])).
% 58.13/9.49 tff(f21540,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1074(X2,X1,X0,X3,X4)) = iG1075(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1075(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f17397])).
% 58.13/9.49 tff(f17397,plain,(
% 58.13/9.49 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1074(X15,X1,X14,X16,X17)) = iG1075(X14,X1,X15,X16,X17)) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => one_one(nat) = iG1075(X14,X1,X15,X16,X17))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1075])])).
% 58.13/9.49 tff(f95515,plain,(
% 58.13/9.49 spl5880_3072),
% 58.13/9.49 inference(avatar_split_clause,[],[f69430,f95513])).
% 58.13/9.49 tff(f69430,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1085(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67184,f67101])).
% 58.13/9.49 tff(f67184,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1085(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47545])).
% 58.13/9.49 tff(f47545,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1085(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27685])).
% 58.13/9.49 tff(f27685,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1084(X2,X1,X0,X3,X4)) = iG1085(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1085(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f21526])).
% 58.13/9.49 tff(f21526,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1084(X2,X1,X0,X3,X4)) = iG1085(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1085(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f21525])).
% 58.13/9.49 tff(f21525,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1084(X2,X1,X0,X3,X4)) = iG1085(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1085(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f17409])).
% 58.13/9.49 tff(f17409,plain,(
% 58.13/9.49 ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1084(X14,X1,X15,X16,X17)) = iG1085(X15,X1,X14,X16,X17)) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => one_one(nat) = iG1085(X15,X1,X14,X16,X17))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1085])])).
% 58.13/9.49 tff(f95510,plain,(
% 58.13/9.49 spl5880_3071),
% 58.13/9.49 inference(avatar_split_clause,[],[f69428,f95508])).
% 58.13/9.49 tff(f69428,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1228($true) = iG1086(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(forward_demodulation,[],[f67183,f67101])).
% 58.13/9.49 tff(f67183,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1086(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47543])).
% 58.13/9.49 tff(f47543,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1086(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27684])).
% 58.13/9.49 tff(f27684,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1085(X2,X1,X0,X3,X4)) = iG1086(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1086(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f21524])).
% 58.13/9.49 tff(f21524,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1085(X2,X1,X0,X3,X4)) = iG1086(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1086(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f21523])).
% 58.13/9.49 tff(f21523,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1085(X2,X1,X0,X3,X4)) = iG1086(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1086(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f17410])).
% 58.13/9.49 tff(f17410,plain,(
% 58.13/9.49 ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1085(X15,X1,X14,X16,X17)) = iG1086(X14,X1,X15,X16,X17)) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => one_one(nat) = iG1086(X14,X1,X15,X16,X17))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1086])])).
% 58.13/9.49 tff(f95506,plain,(
% 58.13/9.49 spl5880_3070),
% 58.13/9.49 inference(avatar_split_clause,[],[f68835,f95504])).
% 58.13/9.49 tff(f95504,plain,(
% 58.13/9.49 spl5880_3070 <=> ! [X3 : $tType,X2 : fun(X3,fun(X3,$o)),X1 : list(X3)] : (~sorted_wrt(X3,X2,X1) | ~sP2415(X3,$true,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3070])])).
% 58.13/9.49 tff(f68835,plain,(
% 58.13/9.49 ( ! [X3 : $tType,X2 : fun(X3,fun(X3,$o)),X1 : list(X3)] : (~sorted_wrt(X3,X2,X1) | ~sP2415(X3,$true,X1,X2)) )),
% 58.13/9.49 inference(equality_resolution,[],[f63049])).
% 58.13/9.49 tff(f63049,plain,(
% 58.13/9.49 ( ! [X3 : $tType,X2 : fun(X3,fun(X3,$o)),X0 : $o,X1 : list(X3)] : (($true != X0) | ~sorted_wrt(X3,X2,X1) | ~sP2415(X3,X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f44911])).
% 58.13/9.49 tff(f95502,plain,(
% 58.13/9.49 spl5880_3069),
% 58.13/9.49 inference(avatar_split_clause,[],[f68559,f95500])).
% 58.13/9.49 tff(f95500,plain,(
% 58.13/9.49 spl5880_3069 <=> ! [X0 : nat,X1 : nat] : iG634(X1,X0) = iG1455(X1,X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3069])])).
% 58.13/9.49 tff(f68559,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (iG634(X1,X0) = iG1455(X1,X0)) )),
% 58.13/9.49 inference(equality_resolution,[],[f66288])).
% 58.13/9.49 tff(f66288,plain,(
% 58.13/9.49 ( ! [X2 : product_prod(int,int),X0 : nat,X1 : nat] : (iG1455(X1,X0) = X2 | iG634(X1,X0) != X2) )),
% 58.13/9.49 inference(definition_unfolding,[],[f61103,f57180])).
% 58.13/9.49 tff(f57180,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (bezw(X0,X1) = iG634(X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f14603])).
% 58.13/9.49 tff(f14603,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : bezw(X0,X1) = iG634(X1,X0)),
% 58.13/9.49 inference(fool_elimination,[],[f14601,f14602])).
% 58.13/9.49 tff(f14602,plain,(
% 58.13/9.49 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))) = iG634(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG634(X1,X0))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG634])])).
% 58.13/9.49 tff(f14601,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : bezw(X0,X1) = $ite(zero_zero(nat) = X1, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))))),
% 58.13/9.49 inference(rectify,[],[f5596])).
% 58.13/9.49 tff(f5596,axiom,(
% 58.13/9.49 ! [X9 : nat,X18 : nat] : bezw(X9,X18) = $ite(zero_zero(nat) = X18, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X18,modulo_modulo(nat,X9,X18)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X18,modulo_modulo(nat,X9,X18)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X18,modulo_modulo(nat,X9,X18)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X9,X18))))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5595_bezw_Osimps)).
% 58.13/9.49 tff(f61103,plain,(
% 58.13/9.49 ( ! [X2 : product_prod(int,int),X0 : nat,X1 : nat] : (iG1455(X1,X0) = X2 | bezw(X0,X1) != X2) )),
% 58.13/9.49 inference(cnf_transformation,[],[f35226])).
% 58.13/9.49 tff(f35226,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(int,int)] : (iG1455(X1,X0) = X2 | bezw(X0,X1) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f17852])).
% 58.13/9.49 tff(f17852,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(int,int)] : (bezw(X0,X1) = X2 => iG1455(X1,X0) = X2)),
% 58.13/9.49 inference(fool_elimination,[],[f17850,f17851])).
% 58.13/9.49 tff(f17851,plain,(
% 58.13/9.49 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))) = iG1455(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG1455(X1,X0))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1455])])).
% 58.13/9.49 tff(f17850,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(int,int)] : (bezw(X0,X1) = X2 => X2 = $ite(zero_zero(nat) = X1, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1)))))))),
% 58.13/9.49 inference(rectify,[],[f5597])).
% 58.13/9.49 tff(f5597,axiom,(
% 58.13/9.49 ! [X9 : nat,X111 : nat,X18 : product_prod(int,int)] : (bezw(X9,X111) = X18 => X18 = $ite(zero_zero(nat) = X111, aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X111,modulo_modulo(nat,X9,X111)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X111,modulo_modulo(nat,X9,X111)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X111,modulo_modulo(nat,X9,X111)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X9,X111)))))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5596_bezw_Oelims)).
% 58.13/9.49 tff(f95498,plain,(
% 58.13/9.49 spl5880_3068),
% 58.13/9.49 inference(avatar_split_clause,[],[f68556,f95496])).
% 58.13/9.49 tff(f95496,plain,(
% 58.13/9.49 spl5880_3068 <=> ! [X0 : nat,X1 : nat] : iG632(X0,X1) = iG1453(X0,X1)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3068])])).
% 58.13/9.49 tff(f68556,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (iG632(X0,X1) = iG1453(X0,X1)) )),
% 58.13/9.49 inference(equality_resolution,[],[f66285])).
% 58.13/9.49 tff(f66285,plain,(
% 58.13/9.49 ( ! [X2 : product_prod(nat,nat),X0 : nat,X1 : nat] : (iG1453(X0,X1) = X2 | iG632(X0,X1) != X2) )),
% 58.13/9.49 inference(definition_unfolding,[],[f61100,f57178])).
% 58.13/9.49 tff(f57178,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(X0,X1) = iG632(X0,X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f14597])).
% 58.13/9.49 tff(f14597,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : nat_prod_decode_aux(X0,X1) = iG632(X0,X1)),
% 58.13/9.49 inference(fool_elimination,[],[f14595,f14596])).
% 58.13/9.49 tff(f14596,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG632(X0,X1)) & ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG632(X0,X1))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG632])])).
% 58.13/9.49 tff(f14595,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : nat_prod_decode_aux(X0,X1) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0), aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)),nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))))),
% 58.13/9.49 inference(rectify,[],[f5565])).
% 58.13/9.49 tff(f5565,axiom,(
% 58.13/9.49 ! [X24 : nat,X15 : nat] : nat_prod_decode_aux(X24,X15) = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X15),X24), aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X15),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X24),X15)),nat_prod_decode_aux(aa(nat,nat,suc,X24),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),aa(nat,nat,suc,X24))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5564_prod__decode__aux_Osimps)).
% 58.13/9.49 tff(f61100,plain,(
% 58.13/9.49 ( ! [X2 : product_prod(nat,nat),X0 : nat,X1 : nat] : (iG1453(X0,X1) = X2 | nat_prod_decode_aux(X0,X1) != X2) )),
% 58.13/9.49 inference(cnf_transformation,[],[f35223])).
% 58.13/9.49 tff(f35223,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(nat,nat)] : (iG1453(X0,X1) = X2 | nat_prod_decode_aux(X0,X1) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f17846])).
% 58.13/9.49 tff(f17846,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(nat,nat)] : (nat_prod_decode_aux(X0,X1) = X2 => iG1453(X0,X1) = X2)),
% 58.13/9.49 inference(fool_elimination,[],[f17844,f17845])).
% 58.13/9.49 tff(f17845,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG1453(X0,X1)) & ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG1453(X0,X1))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1453])])).
% 58.13/9.49 tff(f17844,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : product_prod(nat,nat)] : (nat_prod_decode_aux(X0,X1) = X2 => X2 = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0), aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)),nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0)))))),
% 58.13/9.49 inference(rectify,[],[f5588])).
% 58.13/9.49 tff(f5588,axiom,(
% 58.13/9.49 ! [X9 : nat,X111 : nat,X18 : product_prod(nat,nat)] : (nat_prod_decode_aux(X9,X111) = X18 => X18 = $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X111),X9), aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X111),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X9),X111)),nat_prod_decode_aux(aa(nat,nat,suc,X9),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X111),aa(nat,nat,suc,X9)))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5587_prod__decode__aux_Oelims)).
% 58.13/9.49 tff(f95494,plain,(
% 58.13/9.49 spl5880_3067),
% 58.13/9.49 inference(avatar_split_clause,[],[f67676,f95492])).
% 58.13/9.49 tff(f95492,plain,(
% 58.13/9.49 spl5880_3067 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : zero_zero(X4) = iG416(X4,zero_zero(X4),X6,X7)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3067])])).
% 58.13/9.49 tff(f67676,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (zero_zero(X4) = iG416(X4,zero_zero(X4),X6,X7)) )),
% 58.13/9.49 inference(equality_resolution,[],[f48960])).
% 58.13/9.49 tff(f48960,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (zero_zero(X4) = iG416(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28027])).
% 58.13/9.49 tff(f95490,plain,(
% 58.13/9.49 spl5880_3066),
% 58.13/9.49 inference(avatar_split_clause,[],[f67675,f95488])).
% 58.13/9.49 tff(f95488,plain,(
% 58.13/9.49 spl5880_3066 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : zero_zero(X4) = iG424(X4,zero_zero(X4),X6,X7)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3066])])).
% 58.13/9.49 tff(f67675,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (zero_zero(X4) = iG424(X4,zero_zero(X4),X6,X7)) )),
% 58.13/9.49 inference(equality_resolution,[],[f48944])).
% 58.13/9.49 tff(f48944,plain,(
% 58.13/9.49 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (zero_zero(X4) = iG424(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28020])).
% 58.13/9.49 tff(f95485,plain,(
% 58.13/9.49 spl5880_3065),
% 58.13/9.49 inference(avatar_split_clause,[],[f67202,f95483])).
% 58.13/9.49 tff(f67202,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1054(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47605])).
% 58.13/9.49 tff(f47605,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1054(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27704])).
% 58.13/9.49 tff(f95480,plain,(
% 58.13/9.49 spl5880_3064),
% 58.13/9.49 inference(avatar_split_clause,[],[f67201,f95478])).
% 58.13/9.49 tff(f67201,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1055(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47603])).
% 58.13/9.49 tff(f47603,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1055(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27703])).
% 58.13/9.49 tff(f95475,plain,(
% 58.13/9.49 spl5880_3063),
% 58.13/9.49 inference(avatar_split_clause,[],[f67196,f95473])).
% 58.13/9.49 tff(f67196,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1065(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47583])).
% 58.13/9.49 tff(f47583,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1065(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27697])).
% 58.13/9.49 tff(f95470,plain,(
% 58.13/9.49 spl5880_3062),
% 58.13/9.49 inference(avatar_split_clause,[],[f67195,f95468])).
% 58.13/9.49 tff(f67195,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1066(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f47581])).
% 58.13/9.49 tff(f47581,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1066(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27696])).
% 58.13/9.49 tff(f95466,plain,(
% 58.13/9.49 spl5880_3061),
% 58.13/9.49 inference(avatar_split_clause,[],[f66887,f95464])).
% 58.13/9.49 tff(f95464,plain,(
% 58.13/9.49 spl5880_3061 <=> ! [X7 : $tType,X5 : $tType,X9 : X5,X8 : fun(X7,X5)] : iG1579(X5,X7,none(X7),X8,X9) = X9),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3061])])).
% 58.13/9.49 tff(f66887,plain,(
% 58.13/9.49 ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (iG1579(X5,X7,none(X7),X8,X9) = X9) )),
% 58.13/9.49 inference(equality_resolution,[],[f46583])).
% 58.13/9.49 tff(f46583,plain,(
% 58.13/9.49 ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,X5),X6 : option(X7),X9 : X5] : (iG1579(X5,X7,X6,X8,X9) = X9 | none(X7) != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27468])).
% 58.13/9.49 tff(f27468,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG1579(X0,X2,X1,X3,X4) | none(X2) = X1) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (iG1579(X5,X7,X6,X8,X9) = X9 | none(X7) != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f20870])).
% 58.13/9.49 tff(f20870,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (none(X2) != X1 => aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG1579(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (none(X7) = X6 => iG1579(X5,X7,X6,X8,X9) = X9)),
% 58.13/9.49 inference(flattening,[],[f20869])).
% 58.13/9.49 tff(f20869,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (~none(X2) = X1 => aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG1579(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (none(X7) = X6 => iG1579(X5,X7,X6,X8,X9) = X9)),
% 58.13/9.49 inference(rectify,[],[f19483])).
% 58.13/9.49 tff(f95461,plain,(
% 58.13/9.49 spl5880_3060),
% 58.13/9.49 inference(avatar_split_clause,[],[f66874,f95459])).
% 58.13/9.49 tff(f66874,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1613(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f46512])).
% 58.13/9.49 tff(f46512,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1613(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27440])).
% 58.13/9.49 tff(f95456,plain,(
% 58.13/9.49 spl5880_3059),
% 58.13/9.49 inference(avatar_split_clause,[],[f66873,f95454])).
% 58.13/9.49 tff(f66873,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (zero_zero(nat) = iG1614(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f46510])).
% 58.13/9.49 tff(f46510,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (zero_zero(nat) = iG1614(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27439])).
% 58.13/9.49 tff(f95451,plain,(
% 58.13/9.49 spl5880_3058),
% 58.13/9.49 inference(avatar_split_clause,[],[f66872,f95449])).
% 58.13/9.49 tff(f66872,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1619(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f46501])).
% 58.13/9.49 tff(f46501,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1619(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27435])).
% 58.13/9.49 tff(f27435,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1618(X2,X0,X1,X3,X4)) = iG1619(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1619(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f20799])).
% 58.13/9.49 tff(f20799,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1618(X2,X0,X1,X3,X4)) = iG1619(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1619(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f20798])).
% 58.13/9.49 tff(f20798,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1618(X2,X0,X1,X3,X4)) = iG1619(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1619(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f19867])).
% 58.13/9.49 tff(f19867,plain,(
% 58.13/9.49 ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X1 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1618(X0,X5,X1,X2,X3)) = iG1619(X5,X1,X0,X2,X3)) & ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X1 = X5 => one_one(nat) = iG1619(X5,X1,X0,X2,X3))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1619])])).
% 58.13/9.49 tff(f95446,plain,(
% 58.13/9.49 spl5880_3057),
% 58.13/9.49 inference(avatar_split_clause,[],[f66871,f95444])).
% 58.13/9.49 tff(f66871,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (one_one(nat) = iG1620(X6,X6,X7,X8,X9)) )),
% 58.13/9.49 inference(equality_resolution,[],[f46499])).
% 58.13/9.49 tff(f46499,plain,(
% 58.13/9.49 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (one_one(nat) = iG1620(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27434])).
% 58.13/9.49 tff(f27434,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1619(X0,X2,X1,X3,X4)) = iG1620(X0,X1,X2,X3,X4) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (one_one(nat) = iG1620(X5,X6,X7,X8,X9) | X5 != X6)),
% 58.13/9.49 inference(ennf_transformation,[],[f20797])).
% 58.13/9.49 tff(f20797,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1619(X0,X2,X1,X3,X4)) = iG1620(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1620(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(flattening,[],[f20796])).
% 58.13/9.49 tff(f20796,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1619(X0,X2,X1,X3,X4)) = iG1620(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => one_one(nat) = iG1620(X5,X6,X7,X8,X9))),
% 58.13/9.49 inference(rectify,[],[f19868])).
% 58.13/9.49 tff(f19868,plain,(
% 58.13/9.49 ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X0 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),iG1619(X5,X1,X0,X2,X3)) = iG1620(X5,X0,X1,X2,X3)) & ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X0 = X5 => one_one(nat) = iG1620(X5,X0,X1,X2,X3))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1620])])).
% 58.13/9.49 tff(f95442,plain,(
% 58.13/9.49 spl5880_3056),
% 58.13/9.49 inference(avatar_split_clause,[],[f64030,f95440])).
% 58.13/9.49 tff(f95440,plain,(
% 58.13/9.49 spl5880_3056 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (X1 = X4 | ~sP2477(X0,X1,X2,X3,X4))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3056])])).
% 58.13/9.49 tff(f64030,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (X1 = X4 | ~sP2477(X0,X1,X2,X3,X4)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f45614])).
% 58.13/9.49 tff(f45614,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2477(X0,X1,X2,X3,X4) | ($true != case_option($o,product_prod(nat,nat),bG1597(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1595(X1)),lG1596(X1))),X0)) | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) | ~vEBT_VEBT_valid(X2,lG1596(X1)) | (~vEBT_VEBT_valid(sK5652(X1,X3),lG1595(X1)) & member(vEBT_VEBT,sK5652(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4) & ((($true = case_option($o,product_prod(nat,nat),bG1597(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1595(X1)),lG1596(X1))),X0)) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) & vEBT_VEBT_valid(X2,lG1596(X1)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG1595(X1)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4) | ~sP2477(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5652])],[f45612,f45613])).
% 58.13/9.49 tff(f45613,plain,(
% 58.13/9.49 ! [X1 : nat,X3 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1595(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) => (~vEBT_VEBT_valid(sK5652(X1,X3),lG1595(X1)) & member(vEBT_VEBT,sK5652(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f45612,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2477(X0,X1,X2,X3,X4) | ($true != case_option($o,product_prod(nat,nat),bG1597(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1595(X1)),lG1596(X1))),X0)) | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) | ~vEBT_VEBT_valid(X2,lG1596(X1)) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1595(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4) & ((($true = case_option($o,product_prod(nat,nat),bG1597(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1595(X1)),lG1596(X1))),X0)) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) & vEBT_VEBT_valid(X2,lG1596(X1)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG1595(X1)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4) | ~sP2477(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(rectify,[],[f45611])).
% 58.13/9.49 tff(f45611,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X4 : nat] : ((sP2477(X0,X1,X3,X2,X4) | ($true != case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) | ~vEBT_VEBT_valid(X3,lG1596(X1)) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1595(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X1 != X4) & ((($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1595(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X1 = X4) | ~sP2477(X0,X1,X3,X2,X4)))),
% 58.13/9.49 inference(flattening,[],[f45610])).
% 58.13/9.49 tff(f45610,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X4 : nat] : ((sP2477(X0,X1,X3,X2,X4) | (($true != case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) | ~vEBT_VEBT_valid(X3,lG1596(X1)) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1595(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X1 != X4)) & ((($true = case_option($o,product_prod(nat,nat),bG1597(X2,X3),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X2),X3),lG1595(X1)),lG1596(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1596(X1)) & vEBT_VEBT_valid(X3,lG1596(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1595(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & X1 = X4) | ~sP2477(X0,X1,X3,X2,X4)))),
% 58.13/9.49 inference(nnf_transformation,[],[f37886])).
% 58.13/9.49 tff(f95438,plain,(
% 58.13/9.49 spl5880_3055),
% 58.13/9.49 inference(avatar_split_clause,[],[f63342,f95436])).
% 58.13/9.49 tff(f95436,plain,(
% 58.13/9.49 spl5880_3055 <=> ! [X1 : $tType,X0 : fun(X1,fun(X1,$o)),X3 : list(X1),X2 : list(X1)] : (sorted_wrt(X1,X0,X2) | ~sP2451(X1,X0,X2,X3))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3055])])).
% 58.13/9.49 tff(f63342,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : fun(X1,fun(X1,$o))] : (sorted_wrt(X1,X0,X2) | ~sP2451(X1,X0,X2,X3)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f45190])).
% 58.13/9.49 tff(f45190,plain,(
% 58.13/9.49 ! [X0 : fun(X1,fun(X1,$o)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : ((sP2451(X1,X0,X2,X3) | ((($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,sK5481(X1,X0,X2,X3)),sK5482(X1,X0,X2,X3))) & member(X1,sK5482(X1,X0,X2,X3),aa(list(X1),set(X1),set2(X1),X2))) & member(X1,sK5481(X1,X0,X2,X3),aa(list(X1),set(X1),set2(X1),X3))) | ~sorted_wrt(X1,X0,X2) | ~sorted_wrt(X1,X0,X3)) & ((! [X6 : X1] : (! [X7 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,X6),X7)) | ~member(X1,X7,aa(list(X1),set(X1),set2(X1),X2))) | ~member(X1,X6,aa(list(X1),set(X1),set2(X1),X3))) & sorted_wrt(X1,X0,X2) & sorted_wrt(X1,X0,X3)) | ~sP2451(X1,X0,X2,X3)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5481,sK5482])],[f45187,f45189,f45188])).
% 58.13/9.49 tff(f45188,plain,(
% 58.13/9.49 ! [X1 : $tType,X0 : fun(X1,fun(X1,$o)),X2 : list(X1),X3 : list(X1)] : (? [X4 : X1] : (? [X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,X4),X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X2))) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X3))) => (? [X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,sK5481(X1,X0,X2,X3)),X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X2))) & member(X1,sK5481(X1,X0,X2,X3),aa(list(X1),set(X1),set2(X1),X3))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f45189,plain,(
% 58.13/9.49 ! [X1 : $tType,X0 : fun(X1,fun(X1,$o)),X2 : list(X1),X3 : list(X1)] : (? [X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,sK5481(X1,X0,X2,X3)),X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X2))) => (($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,sK5481(X1,X0,X2,X3)),sK5482(X1,X0,X2,X3))) & member(X1,sK5482(X1,X0,X2,X3),aa(list(X1),set(X1),set2(X1),X2))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f45187,plain,(
% 58.13/9.49 ! [X0 : fun(X1,fun(X1,$o)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : ((sP2451(X1,X0,X2,X3) | ? [X4 : X1] : (? [X5 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),X0,X4),X5)) & member(X1,X5,aa(list(X1),set(X1),set2(X1),X2))) & member(X1,X4,aa(list(X1),set(X1),set2(X1),X3))) | ~sorted_wrt(X1,X0,X2) | ~sorted_wrt(X1,X0,X3)) & ((! [X6 : X1] : (! [X7 : X1] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),X0,X6),X7)) | ~member(X1,X7,aa(list(X1),set(X1),set2(X1),X2))) | ~member(X1,X6,aa(list(X1),set(X1),set2(X1),X3))) & sorted_wrt(X1,X0,X2) & sorted_wrt(X1,X0,X3)) | ~sP2451(X1,X0,X2,X3)))),
% 58.13/9.49 inference(rectify,[],[f45186])).
% 58.13/9.49 tff(f45186,plain,(
% 58.13/9.49 ! [X1 : fun(X0,fun(X0,$o)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : ((sP2451(X0,X1,X3,X2) | ? [X4 : X0] : (? [X5 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) & member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,X2)) & ((! [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)) | ~sP2451(X0,X1,X3,X2)))),
% 58.13/9.49 inference(flattening,[],[f45185])).
% 58.13/9.49 tff(f45185,plain,(
% 58.13/9.49 ! [X1 : fun(X0,fun(X0,$o)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : ((sP2451(X0,X1,X3,X2) | (? [X4 : X0] : (? [X5 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) & member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,X2))) & ((! [X4 : X0] : (! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),X1,X4),X5)) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X3))) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)) | ~sP2451(X0,X1,X3,X2)))),
% 58.13/9.49 inference(nnf_transformation,[],[f37837])).
% 58.13/9.49 tff(f95434,plain,(
% 58.13/9.49 spl5880_3054),
% 58.13/9.49 inference(avatar_split_clause,[],[f63341,f95432])).
% 58.13/9.49 tff(f95432,plain,(
% 58.13/9.49 spl5880_3054 <=> ! [X1 : $tType,X0 : fun(X1,fun(X1,$o)),X3 : list(X1),X2 : list(X1)] : (sorted_wrt(X1,X0,X3) | ~sP2451(X1,X0,X2,X3))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3054])])).
% 58.13/9.49 tff(f63341,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : fun(X1,fun(X1,$o))] : (sorted_wrt(X1,X0,X3) | ~sP2451(X1,X0,X2,X3)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f45190])).
% 58.13/9.49 tff(f95430,plain,(
% 58.13/9.49 spl5880_3053),
% 58.13/9.49 inference(avatar_split_clause,[],[f62109,f95428])).
% 58.13/9.49 tff(f95428,plain,(
% 58.13/9.49 spl5880_3053 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,append(X0,X1,X2)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3053])])).
% 58.13/9.49 tff(f62109,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,append(X0,X1,X2))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f44416])).
% 58.13/9.49 tff(f44416,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((distinct(X0,append(X0,X1,X2)) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) & ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)) | ~distinct(X0,append(X0,X1,X2))))),
% 58.13/9.49 inference(flattening,[],[f44415])).
% 58.13/9.49 tff(f44415,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((distinct(X0,append(X0,X1,X2)) | (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) | ~distinct(X0,X2) | ~distinct(X0,X1))) & ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)) | ~distinct(X0,append(X0,X1,X2))))),
% 58.13/9.49 inference(nnf_transformation,[],[f26653])).
% 58.13/9.49 tff(f26653,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (distinct(X0,append(X0,X1,X2)) <=> (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f6831])).
% 58.13/9.49 tff(f6831,axiom,(
% 58.13/9.49 ! [X0 : $tType,X64 : list(X0),X127 : list(X0)] : (distinct(X0,append(X0,X64,X127)) <=> (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),X64)),aa(list(X0),set(X0),set2(X0),X127)) & distinct(X0,X127) & distinct(X0,X64)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6830_distinct__append)).
% 58.13/9.49 tff(f95426,plain,(
% 58.13/9.49 spl5880_3052),
% 58.13/9.49 inference(avatar_split_clause,[],[f62108,f95424])).
% 58.13/9.49 tff(f95424,plain,(
% 58.13/9.49 spl5880_3052 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | ~distinct(X0,append(X0,X1,X2)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3052])])).
% 58.13/9.49 tff(f62108,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | ~distinct(X0,append(X0,X1,X2))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f44416])).
% 58.13/9.49 tff(f95422,plain,(
% 58.13/9.49 spl5880_3051),
% 58.13/9.49 inference(avatar_split_clause,[],[f61392,f95420])).
% 58.13/9.49 tff(f95420,plain,(
% 58.13/9.49 spl5880_3051 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (X1 = X4 | ~sP2331(X0,X1,X2,X3,X4))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3051])])).
% 58.13/9.49 tff(f61392,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (X1 = X4 | ~sP2331(X0,X1,X2,X3,X4)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43902])).
% 58.13/9.49 tff(f43902,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2331(X0,X1,X2,X3,X4) | ($true != case_option($o,product_prod(nat,nat),bG1474(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1472(X1)),lG1473(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X1)) | ~vEBT_VEBT_valid(X2,lG1473(X1)) | (~vEBT_VEBT_valid(sK4957(X1,X3),lG1472(X1)) & member(vEBT_VEBT,sK4957(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4) & ((($true = case_option($o,product_prod(nat,nat),bG1474(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1472(X1)),lG1473(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X1)) & vEBT_VEBT_valid(X2,lG1473(X1)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG1472(X1)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4) | ~sP2331(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4957])],[f43900,f43901])).
% 58.13/9.49 tff(f43901,plain,(
% 58.13/9.49 ! [X1 : nat,X3 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1472(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) => (~vEBT_VEBT_valid(sK4957(X1,X3),lG1472(X1)) & member(vEBT_VEBT,sK4957(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43900,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2331(X0,X1,X2,X3,X4) | ($true != case_option($o,product_prod(nat,nat),bG1474(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1472(X1)),lG1473(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X1)) | ~vEBT_VEBT_valid(X2,lG1473(X1)) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,lG1472(X1)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4) & ((($true = case_option($o,product_prod(nat,nat),bG1474(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1472(X1)),lG1473(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X1)) & vEBT_VEBT_valid(X2,lG1473(X1)) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,lG1472(X1)) | ~member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4) | ~sP2331(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(rectify,[],[f43899])).
% 58.13/9.49 tff(f43899,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : ((sP2331(X5,X6,X8,X7,X1) | ($true != case_option($o,product_prod(nat,nat),bG1474(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1472(X6)),lG1473(X6))),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X6)) | ~vEBT_VEBT_valid(X8,lG1473(X6)) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,lG1472(X6)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | X1 != X6) & ((($true = case_option($o,product_prod(nat,nat),bG1474(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1472(X6)),lG1473(X6))),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X6)) & vEBT_VEBT_valid(X8,lG1473(X6)) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,lG1472(X6)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) & X1 = X6) | ~sP2331(X5,X6,X8,X7,X1)))),
% 58.13/9.49 inference(flattening,[],[f43898])).
% 58.13/9.49 tff(f43898,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : ((sP2331(X5,X6,X8,X7,X1) | (($true != case_option($o,product_prod(nat,nat),bG1474(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1472(X6)),lG1473(X6))),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X6)) | ~vEBT_VEBT_valid(X8,lG1473(X6)) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,lG1472(X6)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | X1 != X6)) & ((($true = case_option($o,product_prod(nat,nat),bG1474(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1472(X6)),lG1473(X6))),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X6)) & vEBT_VEBT_valid(X8,lG1473(X6)) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,lG1472(X6)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) & X1 = X6) | ~sP2331(X5,X6,X8,X7,X1)))),
% 58.13/9.49 inference(nnf_transformation,[],[f37650])).
% 58.13/9.49 tff(f37650,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : (sP2331(X5,X6,X8,X7,X1) <=> (($true = case_option($o,product_prod(nat,nat),bG1474(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1472(X6)),lG1473(X6))),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1473(X6)) & vEBT_VEBT_valid(X8,lG1473(X6)) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,lG1472(X6)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) & X1 = X6))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2331])])).
% 58.13/9.49 tff(f95418,plain,(
% 58.13/9.49 spl5880_3050),
% 58.13/9.49 inference(avatar_split_clause,[],[f61374,f95416])).
% 58.13/9.49 tff(f95416,plain,(
% 58.13/9.49 spl5880_3050 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : list(vEBT_VEBT),X2 : vEBT_VEBT,X1 : nat] : (sP2328(X0,X1,X2,X3,X4) | X1 = X4)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3050])])).
% 58.13/9.49 tff(f61374,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (sP2328(X0,X1,X2,X3,X4) | X1 = X4) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43882])).
% 58.13/9.49 tff(f43882,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2328(X0,X1,X2,X3,X4) | (($true = case_option($o,product_prod(nat,nat),bG1467(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1465(X1)),lG1466(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X1)) & vEBT_VEBT_valid(X2,lG1466(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1465(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4)) & (($true != case_option($o,product_prod(nat,nat),bG1467(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1465(X1)),lG1466(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X1)) | ~vEBT_VEBT_valid(X2,lG1466(X1)) | (~vEBT_VEBT_valid(sK4946(X1,X3),lG1465(X1)) & member(vEBT_VEBT,sK4946(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4 | ~sP2328(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4946])],[f43880,f43881])).
% 58.13/9.49 tff(f43881,plain,(
% 58.13/9.49 ! [X1 : nat,X3 : list(vEBT_VEBT)] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG1465(X1)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) => (~vEBT_VEBT_valid(sK4946(X1,X3),lG1465(X1)) & member(vEBT_VEBT,sK4946(X1,X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43880,plain,(
% 58.13/9.49 ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : ((sP2328(X0,X1,X2,X3,X4) | (($true = case_option($o,product_prod(nat,nat),bG1467(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1465(X1)),lG1466(X1))),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X1)) & vEBT_VEBT_valid(X2,lG1466(X1)) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,lG1465(X1)) | ~member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) & X1 = X4)) & (($true != case_option($o,product_prod(nat,nat),bG1467(X3,X2),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X1),X3),X2),lG1465(X1)),lG1466(X1))),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X1)) | ~vEBT_VEBT_valid(X2,lG1466(X1)) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,lG1465(X1)) & member(vEBT_VEBT,X6,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X3))) | X1 != X4 | ~sP2328(X0,X1,X2,X3,X4)))),
% 58.13/9.49 inference(rectify,[],[f43879])).
% 58.13/9.49 tff(f43879,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : ((sP2328(X5,X6,X8,X7,X1) | (($true = case_option($o,product_prod(nat,nat),bG1467(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1465(X6)),lG1466(X6))),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X6)) & vEBT_VEBT_valid(X8,lG1466(X6)) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,lG1465(X6)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) & X1 = X6)) & (($true != case_option($o,product_prod(nat,nat),bG1467(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1465(X6)),lG1466(X6))),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X6)) | ~vEBT_VEBT_valid(X8,lG1466(X6)) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,lG1465(X6)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | X1 != X6 | ~sP2328(X5,X6,X8,X7,X1)))),
% 58.13/9.49 inference(flattening,[],[f43878])).
% 58.13/9.49 tff(f43878,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : ((sP2328(X5,X6,X8,X7,X1) | (($true = case_option($o,product_prod(nat,nat),bG1467(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1465(X6)),lG1466(X6))),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X6)) & vEBT_VEBT_valid(X8,lG1466(X6)) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,lG1465(X6)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) & X1 = X6)) & ((($true != case_option($o,product_prod(nat,nat),bG1467(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1465(X6)),lG1466(X6))),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X6)) | ~vEBT_VEBT_valid(X8,lG1466(X6)) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,lG1465(X6)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | X1 != X6) | ~sP2328(X5,X6,X8,X7,X1)))),
% 58.13/9.49 inference(nnf_transformation,[],[f37646])).
% 58.13/9.49 tff(f37646,plain,(
% 58.13/9.49 ! [X5 : option(product_prod(nat,nat)),X6 : nat,X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X1 : nat] : (sP2328(X5,X6,X8,X7,X1) <=> (($true != case_option($o,product_prod(nat,nat),bG1467(X7,X8),aa(fun(nat,fun(nat,$o)),fun(product_prod(nat,nat),$o),product_case_prod(nat,nat,$o),aa(nat,fun(nat,fun(nat,$o)),aa(nat,fun(nat,fun(nat,fun(nat,$o))),aa(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o))))),aTP_Lamp_abz(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,fun(nat,fun(nat,$o)))))),X6),X7),X8),lG1465(X6)),lG1466(X6))),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG1466(X6)) | ~vEBT_VEBT_valid(X8,lG1466(X6)) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,lG1465(X6)) & member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | X1 != X6))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2328])])).
% 58.13/9.49 tff(f95414,plain,(
% 58.13/9.49 spl5880_3049),
% 58.13/9.49 inference(avatar_split_clause,[],[f61283,f95412])).
% 58.13/9.49 tff(f95412,plain,(
% 58.13/9.49 spl5880_3049 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2318(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3049])])).
% 58.13/9.49 tff(f61283,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2318(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43840])).
% 58.13/9.49 tff(f95410,plain,(
% 58.13/9.49 spl5880_3048),
% 58.13/9.49 inference(avatar_split_clause,[],[f61275,f95408])).
% 58.13/9.49 tff(f95408,plain,(
% 58.13/9.49 spl5880_3048 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2320(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3048])])).
% 58.13/9.49 tff(f61275,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2320(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43832])).
% 58.13/9.49 tff(f95406,plain,(
% 58.13/9.49 spl5880_3047),
% 58.13/9.49 inference(avatar_split_clause,[],[f61251,f95404])).
% 58.13/9.49 tff(f95404,plain,(
% 58.13/9.49 spl5880_3047 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2309(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3047])])).
% 58.13/9.49 tff(f61251,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2309(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43805])).
% 58.13/9.49 tff(f43805,plain,(
% 58.13/9.49 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X0 & one2 = X1 & one2 = X2) | ~sP2309(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43804])).
% 58.13/9.49 tff(f43804,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2309(X2,X1,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37624])).
% 58.13/9.49 tff(f37624,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2309(X2,X1,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2309])])).
% 58.13/9.49 tff(f95402,plain,(
% 58.13/9.49 spl5880_3046),
% 58.13/9.49 inference(avatar_split_clause,[],[f61214,f95400])).
% 58.13/9.49 tff(f95400,plain,(
% 58.13/9.49 spl5880_3046 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2302(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3046])])).
% 58.13/9.49 tff(f61214,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2302(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43766])).
% 58.13/9.49 tff(f95398,plain,(
% 58.13/9.49 spl5880_3045),
% 58.13/9.49 inference(avatar_split_clause,[],[f61208,f95396])).
% 58.13/9.49 tff(f95396,plain,(
% 58.13/9.49 spl5880_3045 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2304(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3045])])).
% 58.13/9.49 tff(f61208,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2304(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43758])).
% 58.13/9.49 tff(f95394,plain,(
% 58.13/9.49 spl5880_3044),
% 58.13/9.49 inference(avatar_split_clause,[],[f61190,f95392])).
% 58.13/9.49 tff(f95392,plain,(
% 58.13/9.49 spl5880_3044 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2293(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3044])])).
% 58.13/9.49 tff(f61190,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2293(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43731])).
% 58.13/9.49 tff(f43731,plain,(
% 58.13/9.49 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & one2 = X2) | ~sP2293(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43730])).
% 58.13/9.49 tff(f43730,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2293(X2,X1,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37606])).
% 58.13/9.49 tff(f37606,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2293(X2,X1,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2293])])).
% 58.13/9.49 tff(f95390,plain,(
% 58.13/9.49 spl5880_3043),
% 58.13/9.49 inference(avatar_split_clause,[],[f61087,f95388])).
% 58.13/9.49 tff(f95388,plain,(
% 58.13/9.49 spl5880_3043 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2284(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3043])])).
% 58.13/9.49 tff(f61087,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2284(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43645])).
% 58.13/9.49 tff(f43645,plain,(
% 58.13/9.49 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X0 & one2 = X1 & one2 = X2) | ~sP2284(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43644])).
% 58.13/9.49 tff(f43644,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2284(X2,X1,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37595])).
% 58.13/9.49 tff(f37595,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2284(X2,X1,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2284])])).
% 58.13/9.49 tff(f95386,plain,(
% 58.13/9.49 spl5880_3042),
% 58.13/9.49 inference(avatar_split_clause,[],[f61079,f95384])).
% 58.13/9.49 tff(f95384,plain,(
% 58.13/9.49 spl5880_3042 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2286(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3042])])).
% 58.13/9.49 tff(f61079,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2286(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43639])).
% 58.13/9.49 tff(f95382,plain,(
% 58.13/9.49 spl5880_3041),
% 58.13/9.49 inference(avatar_split_clause,[],[f61053,f95380])).
% 58.13/9.49 tff(f95380,plain,(
% 58.13/9.49 spl5880_3041 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2276(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3041])])).
% 58.13/9.49 tff(f61053,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2276(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43608])).
% 58.13/9.49 tff(f43608,plain,(
% 58.13/9.49 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & one2 = X2) | ~sP2276(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43607])).
% 58.13/9.49 tff(f43607,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2276(X2,X1,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37586])).
% 58.13/9.49 tff(f37586,plain,(
% 58.13/9.49 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP2276(X2,X1,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2276])])).
% 58.13/9.49 tff(f95378,plain,(
% 58.13/9.49 spl5880_3040),
% 58.13/9.49 inference(avatar_split_clause,[],[f61047,f95376])).
% 58.13/9.49 tff(f95376,plain,(
% 58.13/9.49 spl5880_3040 <=> ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2278(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3040])])).
% 58.13/9.49 tff(f61047,plain,(
% 58.13/9.49 ( ! [X2 : num,X0 : option(num),X1 : num] : (none(num) = X0 | ~sP2278(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43602])).
% 58.13/9.49 tff(f95374,plain,(
% 58.13/9.49 spl5880_3039),
% 58.13/9.49 inference(avatar_split_clause,[],[f61025,f95372])).
% 58.13/9.49 tff(f95372,plain,(
% 58.13/9.49 spl5880_3039 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2270(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3039])])).
% 58.13/9.49 tff(f61025,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2270(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43572])).
% 58.13/9.49 tff(f95370,plain,(
% 58.13/9.49 spl5880_3038),
% 58.13/9.49 inference(avatar_split_clause,[],[f61013,f95368])).
% 58.13/9.49 tff(f95368,plain,(
% 58.13/9.49 spl5880_3038 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2273(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3038])])).
% 58.13/9.49 tff(f61013,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2273(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43559])).
% 58.13/9.49 tff(f43559,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4819(X0,X1,X2),sK4820(X0,X1,X2),sK4821(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4819(X0,X1,X2),sK4820(X0,X1,X2),sK4821(X0,X1,X2)) = X2) | ~sP2273(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4819,sK4820,sK4821])],[f43557,f43558])).
% 58.13/9.49 tff(f43558,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4819(X0,X1,X2),sK4820(X0,X1,X2),sK4821(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4819(X0,X1,X2),sK4820(X0,X1,X2),sK4821(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43557,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2273(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43556])).
% 58.13/9.49 tff(f43556,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & none(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2273(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37582])).
% 58.13/9.49 tff(f37582,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & none(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2273(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2273])])).
% 58.13/9.49 tff(f95366,plain,(
% 58.13/9.49 spl5880_3037),
% 58.13/9.49 inference(avatar_split_clause,[],[f61010,f95364])).
% 58.13/9.49 tff(f95364,plain,(
% 58.13/9.49 spl5880_3037 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2274(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3037])])).
% 58.13/9.49 tff(f61010,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2274(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43555])).
% 58.13/9.49 tff(f43555,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4816(X0,X1,X2)),zero_zero(nat),sK4817(X0,X1,X2),sK4818(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4816(X0,X1,X2)),zero_zero(nat),sK4817(X0,X1,X2),sK4818(X0,X1,X2)) = X2) | ~sP2274(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4816,sK4817,sK4818])],[f43553,f43554])).
% 58.13/9.49 tff(f43554,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4816(X0,X1,X2)),zero_zero(nat),sK4817(X0,X1,X2),sK4818(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4816(X0,X1,X2)),zero_zero(nat),sK4817(X0,X1,X2),sK4818(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43553,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP2274(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43552])).
% 58.13/9.49 tff(f43552,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2274(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37583])).
% 58.13/9.49 tff(f37583,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2274(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2274])])).
% 58.13/9.49 tff(f95362,plain,(
% 58.13/9.49 spl5880_3036),
% 58.13/9.49 inference(avatar_split_clause,[],[f61007,f95360])).
% 58.13/9.49 tff(f95360,plain,(
% 58.13/9.49 spl5880_3036 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2275(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3036])])).
% 58.13/9.49 tff(f61007,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2275(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43551])).
% 58.13/9.49 tff(f43551,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4813(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4814(X0,X1,X2),sK4815(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4813(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4814(X0,X1,X2),sK4815(X0,X1,X2)) = X2) | ~sP2275(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4813,sK4814,sK4815])],[f43549,f43550])).
% 58.13/9.49 tff(f43550,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4813(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4814(X0,X1,X2),sK4815(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4813(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4814(X0,X1,X2),sK4815(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43549,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2275(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43548])).
% 58.13/9.49 tff(f43548,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2275(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37584])).
% 58.13/9.49 tff(f37584,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2275(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2275])])).
% 58.13/9.49 tff(f95358,plain,(
% 58.13/9.49 spl5880_3035),
% 58.13/9.49 inference(avatar_split_clause,[],[f60997,f95356])).
% 58.13/9.49 tff(f95356,plain,(
% 58.13/9.49 spl5880_3035 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2266(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3035])])).
% 58.13/9.49 tff(f60997,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2266(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43540])).
% 58.13/9.49 tff(f95354,plain,(
% 58.13/9.49 spl5880_3034),
% 58.13/9.49 inference(avatar_split_clause,[],[f60993,f95352])).
% 58.13/9.49 tff(f95352,plain,(
% 58.13/9.49 spl5880_3034 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2267(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3034])])).
% 58.13/9.49 tff(f60993,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2267(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43535])).
% 58.13/9.49 tff(f43535,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4800(X0,X1,X2),sK4801(X0,X1,X2),sK4802(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4800(X0,X1,X2),sK4801(X0,X1,X2),sK4802(X0,X1,X2)) = X2) | ~sP2267(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4800,sK4801,sK4802])],[f43533,f43534])).
% 58.13/9.49 tff(f43534,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4800(X0,X1,X2),sK4801(X0,X1,X2),sK4802(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4800(X0,X1,X2),sK4801(X0,X1,X2),sK4802(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43533,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2267(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43532])).
% 58.13/9.49 tff(f43532,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10)),X1))) & none(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2267(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37575])).
% 58.13/9.49 tff(f37575,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10)),X1))) & none(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2267(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2267])])).
% 58.13/9.49 tff(f95350,plain,(
% 58.13/9.49 spl5880_3033),
% 58.13/9.49 inference(avatar_split_clause,[],[f60990,f95348])).
% 58.13/9.49 tff(f95348,plain,(
% 58.13/9.49 spl5880_3033 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2268(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3033])])).
% 58.13/9.49 tff(f60990,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2268(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43531])).
% 58.13/9.49 tff(f43531,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4797(X0,X1,X2)),zero_zero(nat),sK4798(X0,X1,X2),sK4799(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4797(X0,X1,X2)),zero_zero(nat),sK4798(X0,X1,X2),sK4799(X0,X1,X2)) = X2) | ~sP2268(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4797,sK4798,sK4799])],[f43529,f43530])).
% 58.13/9.49 tff(f43530,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4797(X0,X1,X2)),zero_zero(nat),sK4798(X0,X1,X2),sK4799(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4797(X0,X1,X2)),zero_zero(nat),sK4798(X0,X1,X2),sK4799(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43529,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP2268(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43528])).
% 58.13/9.49 tff(f43528,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2268(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37576])).
% 58.13/9.49 tff(f37576,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2268(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2268])])).
% 58.13/9.49 tff(f95346,plain,(
% 58.13/9.49 spl5880_3032),
% 58.13/9.49 inference(avatar_split_clause,[],[f60987,f95344])).
% 58.13/9.49 tff(f95344,plain,(
% 58.13/9.49 spl5880_3032 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2269(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3032])])).
% 58.13/9.49 tff(f60987,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : option(nat)] : (none(nat) = X1 | ~sP2269(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43527])).
% 58.13/9.49 tff(f43527,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4794(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4795(X0,X1,X2),sK4796(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4794(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4795(X0,X1,X2),sK4796(X0,X1,X2)) = X2) | ~sP2269(X0,X1,X2))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4794,sK4795,sK4796])],[f43525,f43526])).
% 58.13/9.49 tff(f43526,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4794(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4795(X0,X1,X2),sK4796(X0,X1,X2))),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4794(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4795(X0,X1,X2),sK4796(X0,X1,X2)) = X2))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f43525,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : option(nat),X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & none(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2269(X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f43524])).
% 58.13/9.49 tff(f43524,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2269(X1,X2,X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37577])).
% 58.13/9.49 tff(f37577,plain,(
% 58.13/9.49 ! [X1 : nat,X2 : option(nat),X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,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_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & none(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2269(X1,X2,X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2269])])).
% 58.13/9.49 tff(f95342,plain,(
% 58.13/9.49 spl5880_3031),
% 58.13/9.49 inference(avatar_split_clause,[],[f60978,f95340])).
% 58.13/9.49 tff(f95340,plain,(
% 58.13/9.49 spl5880_3031 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2262(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3031])])).
% 58.13/9.49 tff(f60978,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2262(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43515])).
% 58.13/9.49 tff(f95338,plain,(
% 58.13/9.49 spl5880_3030),
% 58.13/9.49 inference(avatar_split_clause,[],[f60967,f95336])).
% 58.13/9.49 tff(f95336,plain,(
% 58.13/9.49 spl5880_3030 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2256(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3030])])).
% 58.13/9.49 tff(f60967,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (none(nat) = X0 | ~sP2256(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f43498])).
% 58.13/9.49 tff(f95334,plain,(
% 58.13/9.49 spl5880_3029),
% 58.13/9.49 inference(avatar_split_clause,[],[f60361,f95332])).
% 58.13/9.49 tff(f95332,plain,(
% 58.13/9.49 spl5880_3029 <=> ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (finite_finite(X0,sK4279(X0,X1,X2)) | finite_finite(X0,X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3029])])).
% 58.13/9.49 tff(f60361,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (finite_finite(X0,sK4279(X0,X1,X2)) | finite_finite(X0,X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42848])).
% 58.13/9.49 tff(f95330,plain,(
% 58.13/9.49 spl5880_3028),
% 58.13/9.49 inference(avatar_split_clause,[],[f60052,f95328])).
% 58.13/9.49 tff(f95328,plain,(
% 58.13/9.49 spl5880_3028 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3028])])).
% 58.13/9.49 tff(f60052,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f26285])).
% 58.13/9.49 tff(f26285,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 58.13/9.49 inference(rectify,[],[f709])).
% 58.13/9.49 tff(f709,axiom,(
% 58.13/9.49 ! [X110 : nat,X99 : list(vEBT_VEBT),X100 : vEBT_VEBT] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X110,X99,X100))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_708_VEBT__internal_OminNull_Osimps_I4_J)).
% 58.13/9.49 tff(f95326,plain,(
% 58.13/9.49 spl5880_3027),
% 58.13/9.49 inference(avatar_split_clause,[],[f59697,f95324])).
% 58.13/9.49 tff(f59697,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_abs(X0,$o),X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f26267])).
% 58.13/9.49 tff(f26267,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : ($true = aa(X0,$o,aTP_Lamp_abs(X0,$o),X1))),
% 58.13/9.49 inference(true_and_false_elimination,[],[f16664])).
% 58.13/9.49 tff(f16664,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_abs(X0,$o),X1)) <=> $true)),
% 58.13/9.49 inference(fool_elimination,[],[f16663])).
% 58.13/9.49 tff(f16663,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : (aa(X0,$o,aTP_Lamp_abs(X0,$o),X1) <=> $true)),
% 58.13/9.49 inference(rectify,[],[f9042])).
% 58.13/9.49 tff(f9042,axiom,(
% 58.13/9.49 ! [X0 : $tType,X105 : X0] : (aa(X0,$o,aTP_Lamp_abs(X0,$o),X105) <=> $true)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9041_ATP_Olambda__861)).
% 58.13/9.49 tff(f95322,plain,(
% 58.13/9.49 spl5880_3026),
% 58.13/9.49 inference(avatar_split_clause,[],[f59696,f95320])).
% 58.13/9.49 tff(f95320,plain,(
% 58.13/9.49 spl5880_3026 <=> ! [X0 : $tType,X1 : X0] : ($true != aa(X0,$o,aTP_Lamp_abr(X0,$o),X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3026])])).
% 58.13/9.49 tff(f59696,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aTP_Lamp_abr(X0,$o),X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f26266])).
% 58.13/9.49 tff(f26266,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : ($true != aa(X0,$o,aTP_Lamp_abr(X0,$o),X1))),
% 58.13/9.49 inference(flattening,[],[f26265])).
% 58.13/9.49 tff(f26265,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : ~($true = aa(X0,$o,aTP_Lamp_abr(X0,$o),X1))),
% 58.13/9.49 inference(true_and_false_elimination,[],[f16662])).
% 58.13/9.49 tff(f16662,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aTP_Lamp_abr(X0,$o),X1)) <=> $false)),
% 58.13/9.49 inference(fool_elimination,[],[f16661])).
% 58.13/9.49 tff(f16661,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : X0] : (aa(X0,$o,aTP_Lamp_abr(X0,$o),X1) <=> $false)),
% 58.13/9.49 inference(rectify,[],[f9040])).
% 58.13/9.49 tff(f9040,axiom,(
% 58.13/9.49 ! [X0 : $tType,X105 : X0] : (aa(X0,$o,aTP_Lamp_abr(X0,$o),X105) <=> $false)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9039_ATP_Olambda__859)).
% 58.13/9.49 tff(f95318,plain,(
% 58.13/9.49 spl5880_3025),
% 58.13/9.49 inference(avatar_split_clause,[],[f59572,f95316])).
% 58.13/9.49 tff(f95316,plain,(
% 58.13/9.49 spl5880_3025 <=> ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK4195(X0,X1),X1) | ~sP2114(X0,X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3025])])).
% 58.13/9.49 tff(f59572,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK4195(X0,X1),X1) | ~sP2114(X0,X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42510])).
% 58.13/9.49 tff(f95314,plain,(
% 58.13/9.49 spl5880_3024),
% 58.13/9.49 inference(avatar_split_clause,[],[f59571,f95312])).
% 58.13/9.49 tff(f59571,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : set(X0)] : (member(X0,sK4194(X0,X1),X1) | ~sP2114(X0,X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42510])).
% 58.13/9.49 tff(f95310,plain,(
% 58.13/9.49 spl5880_3023),
% 58.13/9.49 inference(avatar_split_clause,[],[f59427,f95308])).
% 58.13/9.49 tff(f95308,plain,(
% 58.13/9.49 spl5880_3023 <=> ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 | ~sP2111(X0,X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3023])])).
% 58.13/9.49 tff(f59427,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 | ~sP2111(X0,X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42410])).
% 58.13/9.49 tff(f42410,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : ((modulo_modulo(int,X0,X1) = X0 | ~sP2111(X0,X1)) & (sP2111(X0,X1) | modulo_modulo(int,X0,X1) != X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37373])).
% 58.13/9.49 tff(f37373,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 <=> sP2111(X0,X1))),
% 58.13/9.49 inference(definition_folding,[],[f16593,f37372])).
% 58.13/9.49 tff(f37372,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (sP2111(X0,X1) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2111])])).
% 58.13/9.49 tff(f16593,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 58.13/9.49 inference(fool_elimination,[],[f16592])).
% 58.13/9.49 tff(f16592,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int))) | (aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) = X1))),
% 58.13/9.49 inference(rectify,[],[f1628])).
% 58.13/9.49 tff(f1628,axiom,(
% 58.13/9.49 ! [X25 : int,X24 : int] : (modulo_modulo(int,X25,X24) = X25 <=> ((aa(int,$o,aa(int,fun(int,$o),ord_less(int),X24),X25) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X25),zero_zero(int))) | (aa(int,$o,aa(int,fun(int,$o),ord_less(int),X25),X24) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X25)) | zero_zero(int) = X24))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1627_zmod__trivial__iff)).
% 58.13/9.49 tff(f95306,plain,(
% 58.13/9.49 spl5880_3022),
% 58.13/9.49 inference(avatar_split_clause,[],[f59426,f95304])).
% 58.13/9.49 tff(f95304,plain,(
% 58.13/9.49 spl5880_3022 <=> ! [X0 : int,X1 : int] : (sP2111(X0,X1) | modulo_modulo(int,X0,X1) != X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3022])])).
% 58.13/9.49 tff(f59426,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (sP2111(X0,X1) | modulo_modulo(int,X0,X1) != X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42410])).
% 58.13/9.49 tff(f95302,plain,(
% 58.13/9.49 spl5880_3021),
% 58.13/9.49 inference(avatar_split_clause,[],[f58802,f95300])).
% 58.13/9.49 tff(f95300,plain,(
% 58.13/9.49 spl5880_3021 <=> ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK4029(X0,X1),X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3021])])).
% 58.13/9.49 tff(f58802,plain,(
% 58.13/9.49 ( ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK4029(X0,X1),X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f42097])).
% 58.13/9.49 tff(f42097,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4029(X0,X1)),X1)) & member(nat,sK4029(X0,X1),X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4029])],[f34415,f42096])).
% 58.13/9.49 tff(f42096,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4029(X0,X1)),X1)) & member(nat,sK4029(X0,X1),X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f34415,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)))),
% 58.13/9.49 inference(ennf_transformation,[],[f15827])).
% 58.13/9.49 tff(f15827,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) => finite_finite(nat,X0))),
% 58.13/9.49 inference(fool_elimination,[],[f15826])).
% 58.13/9.49 tff(f15826,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => finite_finite(nat,X0))),
% 58.13/9.49 inference(rectify,[],[f1793])).
% 58.13/9.49 tff(f1793,axiom,(
% 58.13/9.49 ! [X95 : set(nat),X8 : nat] : (! [X29 : nat] : (member(nat,X29,X95) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X29),X8)) => finite_finite(nat,X95))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1792_bounded__nat__set__is__finite)).
% 58.13/9.49 tff(f95298,plain,(
% 58.13/9.49 spl5880_3020),
% 58.13/9.49 inference(avatar_split_clause,[],[f56631,f95296])).
% 58.13/9.49 tff(f95296,plain,(
% 58.13/9.49 spl5880_3020 <=> ! [X0 : real] : aa(real,real,tan(real),sK3380(X0)) = X0),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3020])])).
% 58.13/9.49 tff(f56631,plain,(
% 58.13/9.49 ( ! [X0 : real] : (aa(real,real,tan(real),sK3380(X0)) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40986])).
% 58.13/9.49 tff(f95294,plain,(
% 58.13/9.49 spl5880_3019),
% 58.13/9.49 inference(avatar_split_clause,[],[f56628,f95292])).
% 58.13/9.49 tff(f95292,plain,(
% 58.13/9.49 spl5880_3019 <=> ! [X0 : real] : aa(real,real,tan(real),sK3379(X0)) = X0),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3019])])).
% 58.13/9.49 tff(f56628,plain,(
% 58.13/9.49 ( ! [X0 : real] : (aa(real,real,tan(real),sK3379(X0)) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40984])).
% 58.13/9.49 tff(f95290,plain,(
% 58.13/9.49 spl5880_3018),
% 58.13/9.49 inference(avatar_split_clause,[],[f56529,f95288])).
% 58.13/9.49 tff(f56529,plain,(
% 58.13/9.49 ( ! [X0 : nat] : (($true = aa(nat,$o,aTP_Lamp_mb(nat,$o),X0))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f25223])).
% 58.13/9.49 tff(f25223,plain,(
% 58.13/9.49 ! [X0 : nat] : ($true = aa(nat,$o,aTP_Lamp_mb(nat,$o),X0))),
% 58.13/9.49 inference(true_and_false_elimination,[],[f14317])).
% 58.13/9.49 tff(f14317,plain,(
% 58.13/9.49 ! [X0 : nat] : (($true = aa(nat,$o,aTP_Lamp_mb(nat,$o),X0)) <=> $true)),
% 58.13/9.49 inference(fool_elimination,[],[f14316])).
% 58.13/9.49 tff(f14316,plain,(
% 58.13/9.49 ! [X0 : nat] : (aa(nat,$o,aTP_Lamp_mb(nat,$o),X0) <=> $true)),
% 58.13/9.49 inference(rectify,[],[f9041])).
% 58.13/9.49 tff(f9041,axiom,(
% 58.13/9.49 ! [X105 : nat] : (aa(nat,$o,aTP_Lamp_mb(nat,$o),X105) <=> $true)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9040_ATP_Olambda__860)).
% 58.13/9.49 tff(f95286,plain,(
% 58.13/9.49 spl5880_3017),
% 58.13/9.49 inference(avatar_split_clause,[],[f56528,f95284])).
% 58.13/9.49 tff(f95284,plain,(
% 58.13/9.49 spl5880_3017 <=> ! [X0 : nat] : ($true != aa(nat,$o,aTP_Lamp_ma(nat,$o),X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3017])])).
% 58.13/9.49 tff(f56528,plain,(
% 58.13/9.49 ( ! [X0 : nat] : (($true != aa(nat,$o,aTP_Lamp_ma(nat,$o),X0))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f25222])).
% 58.13/9.49 tff(f25222,plain,(
% 58.13/9.49 ! [X0 : nat] : ($true != aa(nat,$o,aTP_Lamp_ma(nat,$o),X0))),
% 58.13/9.49 inference(flattening,[],[f25221])).
% 58.13/9.49 tff(f25221,plain,(
% 58.13/9.49 ! [X0 : nat] : ~($true = aa(nat,$o,aTP_Lamp_ma(nat,$o),X0))),
% 58.13/9.49 inference(true_and_false_elimination,[],[f14315])).
% 58.13/9.49 tff(f14315,plain,(
% 58.13/9.49 ! [X0 : nat] : (($true = aa(nat,$o,aTP_Lamp_ma(nat,$o),X0)) <=> $false)),
% 58.13/9.49 inference(fool_elimination,[],[f14314])).
% 58.13/9.49 tff(f14314,plain,(
% 58.13/9.49 ! [X0 : nat] : (aa(nat,$o,aTP_Lamp_ma(nat,$o),X0) <=> $false)),
% 58.13/9.49 inference(rectify,[],[f9039])).
% 58.13/9.49 tff(f9039,axiom,(
% 58.13/9.49 ! [X105 : nat] : (aa(nat,$o,aTP_Lamp_ma(nat,$o),X105) <=> $false)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9038_ATP_Olambda__858)).
% 58.13/9.49 tff(f95282,plain,(
% 58.13/9.49 spl5880_3016),
% 58.13/9.49 inference(avatar_split_clause,[],[f56523,f95280])).
% 58.13/9.49 tff(f95280,plain,(
% 58.13/9.49 spl5880_3016 <=> ! [X0 : real] : ($true != aa(real,$o,aTP_Lamp_ji(real,$o),X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3016])])).
% 58.13/9.49 tff(f56523,plain,(
% 58.13/9.49 ( ! [X0 : real] : (($true != aa(real,$o,aTP_Lamp_ji(real,$o),X0))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f25220])).
% 58.13/9.49 tff(f25220,plain,(
% 58.13/9.49 ! [X0 : real] : ($true != aa(real,$o,aTP_Lamp_ji(real,$o),X0))),
% 58.13/9.49 inference(flattening,[],[f25219])).
% 58.13/9.49 tff(f25219,plain,(
% 58.13/9.49 ! [X0 : real] : ~($true = aa(real,$o,aTP_Lamp_ji(real,$o),X0))),
% 58.13/9.49 inference(true_and_false_elimination,[],[f14311])).
% 58.13/9.49 tff(f14311,plain,(
% 58.13/9.49 ! [X0 : real] : (($true = aa(real,$o,aTP_Lamp_ji(real,$o),X0)) <=> $false)),
% 58.13/9.49 inference(fool_elimination,[],[f14310])).
% 58.13/9.49 tff(f14310,plain,(
% 58.13/9.49 ! [X0 : real] : (aa(real,$o,aTP_Lamp_ji(real,$o),X0) <=> $false)),
% 58.13/9.49 inference(rectify,[],[f9038])).
% 58.13/9.49 tff(f9038,axiom,(
% 58.13/9.49 ! [X105 : real] : (aa(real,$o,aTP_Lamp_ji(real,$o),X105) <=> $false)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9037_ATP_Olambda__857)).
% 58.13/9.49 tff(f95278,plain,(
% 58.13/9.49 spl5880_3015),
% 58.13/9.49 inference(avatar_split_clause,[],[f56434,f95276])).
% 58.13/9.49 tff(f95276,plain,(
% 58.13/9.49 spl5880_3015 <=> ! [X0 : complex] : (one_one(complex) = X0 | one_one(complex) != cnj(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3015])])).
% 58.13/9.49 tff(f56434,plain,(
% 58.13/9.49 ( ! [X0 : complex] : (one_one(complex) = X0 | one_one(complex) != cnj(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40856])).
% 58.13/9.49 tff(f40856,plain,(
% 58.13/9.49 ! [X0 : complex] : ((one_one(complex) = cnj(X0) | one_one(complex) != X0) & (one_one(complex) = X0 | one_one(complex) != cnj(X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f25194])).
% 58.13/9.49 tff(f25194,plain,(
% 58.13/9.49 ! [X0 : complex] : (one_one(complex) = cnj(X0) <=> one_one(complex) = X0)),
% 58.13/9.49 inference(rectify,[],[f5298])).
% 58.13/9.49 tff(f5298,axiom,(
% 58.13/9.49 ! [X21 : complex] : (one_one(complex) = cnj(X21) <=> one_one(complex) = X21)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5297_complex__cnj__one__iff)).
% 58.13/9.49 tff(f95274,plain,(
% 58.13/9.49 spl5880_3014),
% 58.13/9.49 inference(avatar_split_clause,[],[f56410,f95272])).
% 58.13/9.49 tff(f95272,plain,(
% 58.13/9.49 spl5880_3014 <=> ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK3335(X0,X1),X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3014])])).
% 58.13/9.49 tff(f56410,plain,(
% 58.13/9.49 ( ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK3335(X0,X1),X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40831])).
% 58.13/9.49 tff(f40831,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3335(X0,X1)),X1)) & member(nat,sK3335(X0,X1),X0))) & (! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),sK3336(X0))) | ~member(nat,X4,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3335,sK3336])],[f40828,f40830,f40829])).
% 58.13/9.49 tff(f40829,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3335(X0,X1)),X1)) & member(nat,sK3335(X0,X1),X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40830,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X3)) | ~member(nat,X4,X0)) => ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),sK3336(X0))) | ~member(nat,X4,X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40828,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0))) & (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X3)) | ~member(nat,X4,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(rectify,[],[f40827])).
% 58.13/9.49 tff(f40827,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & member(nat,X2,X0))) & (? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) | ~member(nat,X2,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f33179])).
% 58.13/9.49 tff(f33179,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) | ~member(nat,X2,X0)))),
% 58.13/9.49 inference(ennf_transformation,[],[f14269])).
% 58.13/9.49 tff(f14269,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))))),
% 58.13/9.49 inference(fool_elimination,[],[f14268])).
% 58.13/9.49 tff(f14268,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)))),
% 58.13/9.49 inference(rectify,[],[f1795])).
% 58.13/9.49 tff(f1795,axiom,(
% 58.13/9.49 ! [X95 : set(nat)] : (finite_finite(nat,X95) <=> ? [X165 : nat] : ! [X65 : nat] : (member(nat,X65,X95) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X65),X165)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1794_finite__nat__set__iff__bounded__le)).
% 58.13/9.49 tff(f95270,plain,(
% 58.13/9.49 spl5880_3013),
% 58.13/9.49 inference(avatar_split_clause,[],[f56407,f95268])).
% 58.13/9.49 tff(f95268,plain,(
% 58.13/9.49 spl5880_3013 <=> ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK3333(X0,X1),X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3013])])).
% 58.13/9.49 tff(f56407,plain,(
% 58.13/9.49 ( ! [X0 : set(nat),X1 : nat] : (finite_finite(nat,X0) | member(nat,sK3333(X0,X1),X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40826])).
% 58.13/9.49 tff(f40826,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3333(X0,X1)),X1)) & member(nat,sK3333(X0,X1),X0))) & (! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),sK3334(X0))) | ~member(nat,X4,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3333,sK3334])],[f40823,f40825,f40824])).
% 58.13/9.49 tff(f40824,plain,(
% 58.13/9.49 ! [X0 : set(nat),X1 : nat] : (? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)) => (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3333(X0,X1)),X1)) & member(nat,sK3333(X0,X1),X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40825,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3)) | ~member(nat,X4,X0)) => ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),sK3334(X0))) | ~member(nat,X4,X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40823,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0))) & (? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3)) | ~member(nat,X4,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(rectify,[],[f40822])).
% 58.13/9.49 tff(f40822,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((finite_finite(nat,X0) | ! [X1 : nat] : ? [X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0))) & (? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ~member(nat,X2,X0)) | ~finite_finite(nat,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f33178])).
% 58.13/9.49 tff(f33178,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) | ~member(nat,X2,X0)))),
% 58.13/9.49 inference(ennf_transformation,[],[f14267])).
% 58.13/9.49 tff(f14267,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (member(nat,X2,X0) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))))),
% 58.13/9.49 inference(fool_elimination,[],[f14266])).
% 58.13/9.49 tff(f14266,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (finite_finite(nat,X0) <=> ? [X1 : nat] : ! [X2 : nat] : (member(nat,X2,X0) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)))),
% 58.13/9.49 inference(rectify,[],[f1794])).
% 58.13/9.49 tff(f1794,axiom,(
% 58.13/9.49 ! [X95 : set(nat)] : (finite_finite(nat,X95) <=> ? [X165 : nat] : ! [X65 : nat] : (member(nat,X65,X95) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X65),X165)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1793_finite__nat__set__iff__bounded)).
% 58.13/9.49 tff(f95266,plain,(
% 58.13/9.49 spl5880_3012),
% 58.13/9.49 inference(avatar_split_clause,[],[f56396,f95264])).
% 58.13/9.49 tff(f95264,plain,(
% 58.13/9.49 spl5880_3012 <=> ! [X0 : set(nat),X3 : nat] : (member(nat,sK3326(X0,X3),X0) | finite_finite(nat,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3012])])).
% 58.13/9.49 tff(f56396,plain,(
% 58.13/9.49 ( ! [X3 : nat,X0 : set(nat)] : (member(nat,sK3326(X0,X3),X0) | finite_finite(nat,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40806])).
% 58.13/9.49 tff(f40806,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3325(X0)),X2)))) & (! [X3 : nat] : (member(nat,sK3326(X0,X3),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),sK3326(X0,X3)))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3325,sK3326])],[f40803,f40805,f40804])).
% 58.13/9.49 tff(f40804,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) => ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK3325(X0)),X2))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40805,plain,(
% 58.13/9.49 ! [X0 : set(nat),X3 : nat] : (? [X4 : nat] : (member(nat,X4,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) => (member(nat,sK3326(X0,X3),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),sK3326(X0,X3)))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40803,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)))) & (! [X3 : nat] : ? [X4 : nat] : (member(nat,X4,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(rectify,[],[f40802])).
% 58.13/9.49 tff(f40802,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)))) & (! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f14259])).
% 58.13/9.49 tff(f14259,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (~finite_finite(nat,X0) <=> ! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2))))),
% 58.13/9.49 inference(fool_elimination,[],[f14258])).
% 58.13/9.49 tff(f14258,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (~finite_finite(nat,X0) <=> ! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)))),
% 58.13/9.49 inference(rectify,[],[f3473])).
% 58.13/9.49 tff(f3473,axiom,(
% 58.13/9.49 ! [X93 : set(nat)] : (~finite_finite(nat,X93) <=> ! [X165 : nat] : ? [X193 : nat] : (member(nat,X193,X93) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X165),X193)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3472_infinite__nat__iff__unbounded__le)).
% 58.13/9.49 tff(f95262,plain,(
% 58.13/9.49 spl5880_3011),
% 58.13/9.49 inference(avatar_split_clause,[],[f56393,f95260])).
% 58.13/9.49 tff(f95260,plain,(
% 58.13/9.49 spl5880_3011 <=> ! [X0 : set(nat),X3 : nat] : (member(nat,sK3324(X0,X3),X0) | finite_finite(nat,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3011])])).
% 58.13/9.49 tff(f56393,plain,(
% 58.13/9.49 ( ! [X3 : nat,X0 : set(nat)] : (member(nat,sK3324(X0,X3),X0) | finite_finite(nat,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40801])).
% 58.13/9.49 tff(f40801,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3323(X0)),X2)))) & (! [X3 : nat] : (member(nat,sK3324(X0,X3),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK3324(X0,X3)))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3323,sK3324])],[f40798,f40800,f40799])).
% 58.13/9.49 tff(f40799,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2))) => ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK3323(X0)),X2))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40800,plain,(
% 58.13/9.49 ! [X0 : set(nat),X3 : nat] : (? [X4 : nat] : (member(nat,X4,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X4))) => (member(nat,sK3324(X0,X3),X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),sK3324(X0,X3)))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40798,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)))) & (! [X3 : nat] : ? [X4 : nat] : (member(nat,X4,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X4))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(rectify,[],[f40797])).
% 58.13/9.49 tff(f40797,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : ((~finite_finite(nat,X0) | ? [X1 : nat] : ! [X2 : nat] : (~member(nat,X2,X0) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)))) & (! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2))) | finite_finite(nat,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f14257])).
% 58.13/9.49 tff(f14257,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (~finite_finite(nat,X0) <=> ! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2))))),
% 58.13/9.49 inference(fool_elimination,[],[f14256])).
% 58.13/9.49 tff(f14256,plain,(
% 58.13/9.49 ! [X0 : set(nat)] : (~finite_finite(nat,X0) <=> ! [X1 : nat] : ? [X2 : nat] : (member(nat,X2,X0) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)))),
% 58.13/9.49 inference(rectify,[],[f3472])).
% 58.13/9.49 tff(f3472,axiom,(
% 58.13/9.49 ! [X93 : set(nat)] : (~finite_finite(nat,X93) <=> ! [X165 : nat] : ? [X193 : nat] : (member(nat,X193,X93) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X165),X193)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3471_infinite__nat__iff__unbounded)).
% 58.13/9.49 tff(f95258,plain,(
% 58.13/9.49 spl5880_3010),
% 58.13/9.49 inference(avatar_split_clause,[],[f56390,f95256])).
% 58.13/9.49 tff(f95256,plain,(
% 58.13/9.49 spl5880_3010 <=> ! [X0 : set(int),X3 : int] : (member(int,sK3322(X0,X3),X0) | finite_finite(int,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3010])])).
% 58.13/9.49 tff(f56390,plain,(
% 58.13/9.49 ( ! [X3 : int,X0 : set(int)] : (member(int,sK3322(X0,X3),X0) | finite_finite(int,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40796])).
% 58.13/9.49 tff(f40796,plain,(
% 58.13/9.49 ! [X0 : set(int)] : ((~finite_finite(int,X0) | ! [X2 : int] : (~member(int,X2,X0) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK3321(X0)),aa(int,int,abs_abs(int),X2))))) & (! [X3 : int] : (member(int,sK3322(X0,X3),X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),aa(int,int,abs_abs(int),sK3322(X0,X3))))) | finite_finite(int,X0)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3321,sK3322])],[f40793,f40795,f40794])).
% 58.13/9.49 tff(f40794,plain,(
% 58.13/9.49 ! [X0 : set(int)] : (? [X1 : int] : ! [X2 : int] : (~member(int,X2,X0) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2)))) => ! [X2 : int] : (~member(int,X2,X0) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),sK3321(X0)),aa(int,int,abs_abs(int),X2)))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40795,plain,(
% 58.13/9.49 ! [X0 : set(int),X3 : int] : (? [X4 : int] : (member(int,X4,X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),aa(int,int,abs_abs(int),X4)))) => (member(int,sK3322(X0,X3),X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),aa(int,int,abs_abs(int),sK3322(X0,X3))))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40793,plain,(
% 58.13/9.49 ! [X0 : set(int)] : ((~finite_finite(int,X0) | ? [X1 : int] : ! [X2 : int] : (~member(int,X2,X0) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2))))) & (! [X3 : int] : ? [X4 : int] : (member(int,X4,X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),aa(int,int,abs_abs(int),X4)))) | finite_finite(int,X0)))),
% 58.13/9.49 inference(rectify,[],[f40792])).
% 58.13/9.49 tff(f40792,plain,(
% 58.13/9.49 ! [X0 : set(int)] : ((~finite_finite(int,X0) | ? [X1 : int] : ! [X2 : int] : (~member(int,X2,X0) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2))))) & (! [X1 : int] : ? [X2 : int] : (member(int,X2,X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2)))) | finite_finite(int,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f14255])).
% 58.13/9.49 tff(f14255,plain,(
% 58.13/9.49 ! [X0 : set(int)] : (~finite_finite(int,X0) <=> ! [X1 : int] : ? [X2 : int] : (member(int,X2,X0) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2)))))),
% 58.13/9.49 inference(fool_elimination,[],[f14254])).
% 58.13/9.49 tff(f14254,plain,(
% 58.13/9.49 ! [X0 : set(int)] : (~finite_finite(int,X0) <=> ! [X1 : int] : ? [X2 : int] : (member(int,X2,X0) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),aa(int,int,abs_abs(int),X2))))),
% 58.13/9.49 inference(rectify,[],[f3374])).
% 58.13/9.49 tff(f3374,axiom,(
% 58.13/9.49 ! [X93 : set(int)] : (~finite_finite(int,X93) <=> ! [X165 : int] : ? [X193 : int] : (member(int,X193,X93) & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X165),aa(int,int,abs_abs(int),X193))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3373_infinite__int__iff__unbounded__le)).
% 58.13/9.49 tff(f95254,plain,(
% 58.13/9.49 spl5880_3009),
% 58.13/9.49 inference(avatar_split_clause,[],[f55490,f95252])).
% 58.13/9.49 tff(f95252,plain,(
% 58.13/9.49 spl5880_3009 <=> ! [X3 : $tType,X0 : list(X3),X2 : fun(list(X3),fun(list(X3),$o)),X1 : list(X3)] : (sP1983(X3,X0,X1,X2) | ~sP1982(X3,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3009])])).
% 58.13/9.49 tff(f55490,plain,(
% 58.13/9.49 ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),$o)),X0 : list(X3),X1 : list(X3)] : (sP1983(X3,X0,X1,X2) | ~sP1982(X3,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40290])).
% 58.13/9.49 tff(f95250,plain,(
% 58.13/9.49 spl5880_3008),
% 58.13/9.49 inference(avatar_split_clause,[],[f55054,f95248])).
% 58.13/9.49 tff(f95248,plain,(
% 58.13/9.49 spl5880_3008 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sP1965(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3008])])).
% 58.13/9.49 tff(f55054,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sP1965(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40093])).
% 58.13/9.49 tff(f40093,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP1965(X0,X1,X2) | ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2896(X0,X1,X2)),sK2897(X0,X1,X2))) & member(X0,sK2897(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X1))) & member(X0,sK2896(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X2))) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less_eq(X0),X2)) & ((! [X5 : X0] : (! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X1))) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,ord_less_eq(X0),X1) & sorted_wrt(X0,ord_less_eq(X0),X2)) | ~sP1965(X0,X1,X2)))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2896,sK2897])],[f40090,f40092,f40091])).
% 58.13/9.49 tff(f40091,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (? [X3 : X0] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X1))) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))) => (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2896(X0,X1,X2)),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X1))) & member(X0,sK2896(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X2))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40092,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2896(X0,X1,X2)),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X1))) => (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),sK2896(X0,X1,X2)),sK2897(X0,X1,X2))) & member(X0,sK2897(X0,X1,X2),aa(list(X0),set(X0),set2(X0),X1))))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f40090,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP1965(X0,X1,X2) | ? [X3 : X0] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X1))) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X2))) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less_eq(X0),X2)) & ((! [X5 : X0] : (! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X5),X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X1))) | ~member(X0,X5,aa(list(X0),set(X0),set2(X0),X2))) & sorted_wrt(X0,ord_less_eq(X0),X1) & sorted_wrt(X0,ord_less_eq(X0),X2)) | ~sP1965(X0,X1,X2)))),
% 58.13/9.49 inference(rectify,[],[f40089])).
% 58.13/9.49 tff(f40089,plain,(
% 58.13/9.49 ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : ((sP1965(X0,X2,X1) | ? [X3 : X0] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | ~sorted_wrt(X0,ord_less_eq(X0),X2) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) & ((! [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~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)) | ~sP1965(X0,X2,X1)))),
% 58.13/9.49 inference(flattening,[],[f40088])).
% 58.13/9.49 tff(f40088,plain,(
% 58.13/9.49 ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : ((sP1965(X0,X2,X1) | (? [X3 : X0] : (? [X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) | ~sorted_wrt(X0,ord_less_eq(X0),X2) | ~sorted_wrt(X0,ord_less_eq(X0),X1))) & ((! [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~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)) | ~sP1965(X0,X2,X1)))),
% 58.13/9.49 inference(nnf_transformation,[],[f37146])).
% 58.13/9.49 tff(f37146,plain,(
% 58.13/9.49 ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1965(X0,X2,X1) <=> (! [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~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)))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1965])])).
% 58.13/9.49 tff(f95246,plain,(
% 58.13/9.49 spl5880_3007),
% 58.13/9.49 inference(avatar_split_clause,[],[f55053,f95244])).
% 58.13/9.49 tff(f95244,plain,(
% 58.13/9.49 spl5880_3007 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X2) | ~sP1965(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3007])])).
% 58.13/9.49 tff(f55053,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X2) | ~sP1965(X0,X1,X2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f40093])).
% 58.13/9.49 tff(f95242,plain,(
% 58.13/9.49 spl5880_3006),
% 58.13/9.49 inference(avatar_split_clause,[],[f54881,f95240])).
% 58.13/9.49 tff(f95240,plain,(
% 58.13/9.49 spl5880_3006 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3006])])).
% 58.13/9.49 tff(f54881,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f31602])).
% 58.13/9.49 tff(f31602,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : set(X0)] : sorted_wrt(X0,ord_less_eq(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f24825])).
% 58.13/9.49 tff(f24825,plain,(
% 58.13/9.49 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : sorted_wrt(X0,ord_less_eq(X0),linord4507533701916653071of_set(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f8057])).
% 58.13/9.49 tff(f8057,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (linorder(X0) => ! [X27 : set(X0)] : sorted_wrt(X0,ord_less_eq(X0),linord4507533701916653071of_set(X0,X27)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8056_sorted__list__of__set_Osorted__sorted__key__list__of__set)).
% 58.13/9.49 tff(f95238,plain,(
% 58.13/9.49 spl5880_3005),
% 58.13/9.49 inference(avatar_split_clause,[],[f54880,f95236])).
% 58.13/9.49 tff(f95236,plain,(
% 58.13/9.49 spl5880_3005 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3005])])).
% 58.13/9.49 tff(f54880,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f31601])).
% 58.13/9.49 tff(f31601,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f24824])).
% 58.13/9.49 tff(f24824,plain,(
% 58.13/9.49 ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f8050])).
% 58.13/9.49 tff(f8050,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (linorder(X0) => ! [X27 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X27)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8049_sorted__list__of__set_Ostrict__sorted__key__list__of__set)).
% 58.13/9.49 tff(f95234,plain,(
% 58.13/9.49 spl5880_3004),
% 58.13/9.49 inference(avatar_split_clause,[],[f54566,f95232])).
% 58.13/9.49 tff(f54566,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = iG513(X0,X1) | ~semiring_char_0(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f31295])).
% 58.13/9.49 tff(f31295,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = iG513(X0,X1) | ~semiring_char_0(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f12618])).
% 58.13/9.49 tff(f12618,plain,(
% 58.13/9.49 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = iG513(X0,X1))),
% 58.13/9.49 inference(fool_elimination,[],[f12616,f12617])).
% 58.13/9.49 tff(f12617,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG513(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG513(X0,X1))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG513])])).
% 58.13/9.49 tff(f12616,plain,(
% 58.13/9.49 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = $ite(zero_zero(nat) = X1, one_one(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))))))),
% 58.13/9.49 inference(rectify,[],[f3701])).
% 58.13/9.49 tff(f3701,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (semiring_char_0(X0) => ! [X15 : nat] : semiring_char_0_fact(X0,X15) = $ite(zero_zero(nat) = X15, one_one(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X15)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),one_one(nat))))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3700_fact__num__eq__if)).
% 58.13/9.49 tff(f95230,plain,(
% 58.13/9.49 spl5880_3003),
% 58.13/9.49 inference(avatar_split_clause,[],[f54378,f95228])).
% 58.13/9.49 tff(f54378,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : set(X1)] : (sP1954(X1,X0) | member(X1,sK2816(X1,X0),X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39872])).
% 58.13/9.49 tff(f95226,plain,(
% 58.13/9.49 spl5880_3002),
% 58.13/9.49 inference(avatar_split_clause,[],[f54366,f95224])).
% 58.13/9.49 tff(f95224,plain,(
% 58.13/9.49 spl5880_3002 <=> ! [X0 : $tType,X1 : set(X0)] : (sP1952(X0,X1) | ~sP1951(X0,X1,sK2813(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3002])])).
% 58.13/9.49 tff(f54366,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : set(X0)] : (sP1952(X0,X1) | ~sP1951(X0,X1,sK2813(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39862])).
% 58.13/9.49 tff(f95222,plain,(
% 58.13/9.49 spl5880_3001),
% 58.13/9.49 inference(avatar_split_clause,[],[f54355,f95220])).
% 58.13/9.49 tff(f95220,plain,(
% 58.13/9.49 spl5880_3001 <=> ! [X1 : $tType,X0 : set(X1)] : (sP1949(X1,X0) | ~sP1948(X1,X0,sK2810(X1,X0)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3001])])).
% 58.13/9.49 tff(f54355,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : set(X1)] : (sP1949(X1,X0) | ~sP1948(X1,X0,sK2810(X1,X0))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39852])).
% 58.13/9.49 tff(f95218,plain,(
% 58.13/9.49 spl5880_3000),
% 58.13/9.49 inference(avatar_split_clause,[],[f54180,f95216])).
% 58.13/9.49 tff(f95216,plain,(
% 58.13/9.49 spl5880_3000 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_3000])])).
% 58.13/9.49 tff(f54180,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f30989])).
% 58.13/9.49 tff(f30989,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f24491])).
% 58.13/9.49 tff(f24491,plain,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1)),
% 58.13/9.49 inference(rectify,[],[f493])).
% 58.13/9.49 tff(f493,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_divide(X0) => ! [X11 : X0] : divide_divide(X0,X11,one_one(X0)) = X11)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_492_div__by__1)).
% 58.13/9.49 tff(f95214,plain,(
% 58.13/9.49 spl5880_2999),
% 58.13/9.49 inference(avatar_split_clause,[],[f54017,f95212])).
% 58.13/9.49 tff(f95212,plain,(
% 58.13/9.49 spl5880_2999 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1) | ~ring_1(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2999])])).
% 58.13/9.49 tff(f54017,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1) | ~ring_1(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39722])).
% 58.13/9.49 tff(f39722,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : ((ring_1_iszero(X0,X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1))) | ~ring_1(X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f30855])).
% 58.13/9.49 tff(f30855,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : (ring_1_iszero(X0,X1) <=> zero_zero(X0) = X1) | ~ring_1(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f24402])).
% 58.13/9.49 tff(f24402,plain,(
% 58.13/9.49 ! [X0 : $tType] : (ring_1(X0) => ! [X1 : X0] : (ring_1_iszero(X0,X1) <=> zero_zero(X0) = X1))),
% 58.13/9.49 inference(rectify,[],[f7071])).
% 58.13/9.49 tff(f7071,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (ring_1(X0) => ! [X21 : X0] : (ring_1_iszero(X0,X21) <=> zero_zero(X0) = X21))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7070_iszero__def)).
% 58.13/9.49 tff(f95210,plain,(
% 58.13/9.49 spl5880_2998),
% 58.13/9.49 inference(avatar_split_clause,[],[f53843,f95208])).
% 58.13/9.49 tff(f95208,plain,(
% 58.13/9.49 spl5880_2998 <=> ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2998])])).
% 58.13/9.49 tff(f53843,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f30658])).
% 58.13/9.49 tff(f30658,plain,(
% 58.13/9.49 ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f1901])).
% 58.13/9.49 tff(f1901,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (neg_numeral(X0) => zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1900_dbl__simps_I2_J)).
% 58.13/9.49 tff(f95206,plain,(
% 58.13/9.49 spl5880_2997),
% 58.13/9.49 inference(avatar_split_clause,[],[f53842,f95204])).
% 58.13/9.49 tff(f95204,plain,(
% 58.13/9.49 spl5880_2997 <=> ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2997])])).
% 58.13/9.49 tff(f53842,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f30657])).
% 58.13/9.49 tff(f30657,plain,(
% 58.13/9.49 ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f5733])).
% 58.13/9.49 tff(f5733,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (neg_numeral(X0) => zero_zero(X0) = neg_numeral_sub(X0,one2,one2))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5732_sub__num__simps_I1_J)).
% 58.13/9.49 tff(f95202,plain,(
% 58.13/9.49 spl5880_2996),
% 58.13/9.49 inference(avatar_split_clause,[],[f53841,f95200])).
% 58.13/9.49 tff(f95200,plain,(
% 58.13/9.49 spl5880_2996 <=> ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2996])])).
% 58.13/9.49 tff(f53841,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f30656])).
% 58.13/9.49 tff(f30656,plain,(
% 58.13/9.49 ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f1871])).
% 58.13/9.49 tff(f1871,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (neg_numeral(X0) => one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1870_dbl__inc__simps_I2_J)).
% 58.13/9.49 tff(f95198,plain,(
% 58.13/9.49 spl5880_2995),
% 58.13/9.49 inference(avatar_split_clause,[],[f53840,f95196])).
% 58.13/9.49 tff(f95196,plain,(
% 58.13/9.49 spl5880_2995 <=> ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2995])])).
% 58.13/9.49 tff(f53840,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f30655])).
% 58.13/9.49 tff(f30655,plain,(
% 58.13/9.49 ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f2589])).
% 58.13/9.49 tff(f2589,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (neg_numeral(X0) => one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2588_dbl__dec__simps_I3_J)).
% 58.13/9.49 tff(f95194,plain,(
% 58.13/9.49 spl5880_2994),
% 58.13/9.49 inference(avatar_split_clause,[],[f53640,f95192])).
% 58.13/9.49 tff(f95192,plain,(
% 58.13/9.49 spl5880_2994 <=> ! [X1 : $tType,X0 : set(X1)] : (~member(X1,sK2765(X1,X0),X0) | ~sP1945(X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2994])])).
% 58.13/9.49 tff(f53640,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : set(X1)] : (~member(X1,sK2765(X1,X0),X0) | ~sP1945(X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39639])).
% 58.13/9.49 tff(f39639,plain,(
% 58.13/9.49 ! [X0 : set(X1),X1 : $tType] : ((~member(X1,sK2765(X1,X0),X0) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK2765(X1,X0)),sK2764(X1,X0))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK2763(X1,X0)),sK2765(X1,X0))) & member(X1,sK2764(X1,X0),X0) & member(X1,sK2763(X1,X0),X0)) | ~sP1945(X1,X0))),
% 58.13/9.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2763,sK2764,sK2765])],[f39637,f39638])).
% 58.13/9.49 tff(f39638,plain,(
% 58.13/9.49 ! [X1 : $tType,X0 : set(X1)] : (? [X2 : X1,X3 : X1,X4 : X1] : (~member(X1,X4,X0) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X3)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),X4)) & member(X1,X3,X0) & member(X1,X2,X0)) => (~member(X1,sK2765(X1,X0),X0) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK2765(X1,X0)),sK2764(X1,X0))) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),sK2763(X1,X0)),sK2765(X1,X0))) & member(X1,sK2764(X1,X0),X0) & member(X1,sK2763(X1,X0),X0)))),
% 58.13/9.49 introduced(choice_axiom,[])).
% 58.13/9.49 tff(f39637,plain,(
% 58.13/9.49 ! [X0 : set(X1),X1 : $tType] : (? [X2 : X1,X3 : X1,X4 : X1] : (~member(X1,X4,X0) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X4),X3)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),X4)) & member(X1,X3,X0) & member(X1,X2,X0)) | ~sP1945(X1,X0))),
% 58.13/9.49 inference(rectify,[],[f39636])).
% 58.13/9.49 tff(f39636,plain,(
% 58.13/9.49 ! [X1 : set(X0),X0 : $tType] : (? [X2 : X0,X3 : X0,X4 : X0] : (~member(X0,X4,X1) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & member(X0,X3,X1) & member(X0,X2,X1)) | ~sP1945(X0,X1))),
% 58.13/9.49 inference(nnf_transformation,[],[f37114])).
% 58.13/9.49 tff(f37114,plain,(
% 58.13/9.49 ! [X1 : set(X0),X0 : $tType] : (? [X2 : X0,X3 : X0,X4 : X0] : (~member(X0,X4,X1) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & member(X0,X3,X1) & member(X0,X2,X1)) | ~sP1945(X0,X1))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1945])])).
% 58.13/9.49 tff(f95190,plain,(
% 58.13/9.49 spl5880_2993),
% 58.13/9.49 inference(avatar_split_clause,[],[f53637,f95188])).
% 58.13/9.49 tff(f95188,plain,(
% 58.13/9.49 spl5880_2993 <=> ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2764(X1,X0),X0) | ~sP1945(X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2993])])).
% 58.13/9.49 tff(f53637,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2764(X1,X0),X0) | ~sP1945(X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39639])).
% 58.13/9.49 tff(f95186,plain,(
% 58.13/9.49 spl5880_2992),
% 58.13/9.49 inference(avatar_split_clause,[],[f53636,f95184])).
% 58.13/9.49 tff(f53636,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : set(X1)] : (member(X1,sK2763(X1,X0),X0) | ~sP1945(X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39639])).
% 58.13/9.49 tff(f95182,plain,(
% 58.13/9.49 spl5880_2991),
% 58.13/9.49 inference(avatar_split_clause,[],[f52151,f95180])).
% 58.13/9.49 tff(f95180,plain,(
% 58.13/9.49 spl5880_2991 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~sP1889(X0,X1,X2) | ~sP1890(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2991])])).
% 58.13/9.49 tff(f52151,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~sP1889(X0,X1,X2) | ~sP1890(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f39226])).
% 58.13/9.49 tff(f39226,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 = X2 | ~sP1889(X0,X1,X2)) & (sP1889(X0,X1,X2) | X1 != X2)) | ~sP1890(X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f37027])).
% 58.13/9.49 tff(f37027,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 <=> sP1889(X0,X1,X2)) | ~sP1890(X0))),
% 58.13/9.49 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1890])])).
% 58.13/9.49 tff(f95178,plain,(
% 58.13/9.49 spl5880_2990),
% 58.13/9.49 inference(avatar_split_clause,[],[f52115,f95176])).
% 58.13/9.49 tff(f95176,plain,(
% 58.13/9.49 spl5880_2990 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2990])])).
% 58.13/9.49 tff(f52115,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f29349])).
% 58.13/9.49 tff(f29349,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f23637])).
% 58.13/9.49 tff(f23637,plain,(
% 58.13/9.49 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1)),
% 58.13/9.49 inference(rectify,[],[f494])).
% 58.13/9.49 tff(f494,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0] : divide_divide(X0,X11,one_one(X0)) = X11)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_493_bits__div__by__1)).
% 58.13/9.49 tff(f95174,plain,(
% 58.13/9.49 spl5880_2989),
% 58.13/9.49 inference(avatar_split_clause,[],[f52026,f95172])).
% 58.13/9.49 tff(f95172,plain,(
% 58.13/9.49 spl5880_2989 <=> ! [X0 : $tType,X1 : X0] : (modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2989])])).
% 58.13/9.49 tff(f52026,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f29285])).
% 58.13/9.49 tff(f29285,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f23589])).
% 58.13/9.49 tff(f23589,plain,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : modulo_modulo(X0,X1,zero_zero(X0)) = X1)),
% 58.13/9.49 inference(rectify,[],[f880])).
% 58.13/9.49 tff(f880,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0] : modulo_modulo(X0,X11,zero_zero(X0)) = X11)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_879_mod__by__0)).
% 58.13/9.49 tff(f95170,plain,(
% 58.13/9.49 spl5880_2988),
% 58.13/9.49 inference(avatar_split_clause,[],[f52025,f95168])).
% 58.13/9.49 tff(f95168,plain,(
% 58.13/9.49 spl5880_2988 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2988])])).
% 58.13/9.49 tff(f52025,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f29284])).
% 58.13/9.49 tff(f29284,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f23588])).
% 58.13/9.49 tff(f23588,plain,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,X1))),
% 58.13/9.49 inference(rectify,[],[f881])).
% 58.13/9.49 tff(f881,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (semidom_modulo(X0) => ! [X11 : X0] : zero_zero(X0) = modulo_modulo(X0,X11,X11))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_880_mod__self)).
% 58.13/9.49 tff(f95166,plain,(
% 58.13/9.49 spl5880_2987),
% 58.13/9.49 inference(avatar_split_clause,[],[f51243,f95164])).
% 58.13/9.49 tff(f95164,plain,(
% 58.13/9.49 spl5880_2987 <=> ! [X0 : $tType,X1 : X0] : (archimedean_ceiling(X0,X1) = iG355(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2987])])).
% 58.13/9.49 tff(f51243,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (archimedean_ceiling(X0,X1) = iG355(X0,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28600])).
% 58.13/9.49 tff(f28600,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : archimedean_ceiling(X0,X1) = iG355(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f10366])).
% 58.13/9.49 tff(f10366,plain,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_ceiling(X0,X1) = iG355(X0,X1))),
% 58.13/9.49 inference(fool_elimination,[],[f10364,f10365])).
% 58.13/9.49 tff(f10364,plain,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_ceiling(X0,X1) = $ite(aa(int,X0,ring_1_of_int(X0),archim6421214686448440834_floor(X0,X1)) = X1, archim6421214686448440834_floor(X0,X1),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X1)),one_one(int))))),
% 58.13/9.49 inference(rectify,[],[f4183])).
% 58.13/9.49 tff(f4183,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X9 : X0] : archimedean_ceiling(X0,X9) = $ite(aa(int,X0,ring_1_of_int(X0),archim6421214686448440834_floor(X0,X9)) = X9, archim6421214686448440834_floor(X0,X9),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X9)),one_one(int))))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4182_ceiling__altdef)).
% 58.13/9.49 tff(f95162,plain,(
% 58.13/9.49 spl5880_2986),
% 58.13/9.49 inference(avatar_split_clause,[],[f51242,f95160])).
% 58.13/9.49 tff(f95160,plain,(
% 58.13/9.49 spl5880_2986 <=> ! [X0 : $tType,X1 : X0] : (archimedean_round(X0,X1) = iG354(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2986])])).
% 58.13/9.49 tff(f51242,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : X0] : (archimedean_round(X0,X1) = iG354(X0,X1) | ~archim2362893244070406136eiling(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28599])).
% 58.13/9.49 tff(f28599,plain,(
% 58.13/9.49 ! [X0 : $tType] : (! [X1 : X0] : archimedean_round(X0,X1) = iG354(X0,X1) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f10363])).
% 58.13/9.49 tff(f10363,plain,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_round(X0,X1) = iG354(X0,X1))),
% 58.13/9.49 inference(fool_elimination,[],[f10361,f10362])).
% 58.13/9.49 tff(f10362,plain,(
% 58.13/9.49 ! [X1 : X0,X0 : $tType] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X1))) => archim6421214686448440834_floor(X0,X1) = iG354(X0,X1)) & ! [X1 : X0,X0 : $tType] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X1))) => archimedean_ceiling(X0,X1) = iG354(X0,X1))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG354])])).
% 58.13/9.49 tff(f10361,plain,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_round(X0,X1) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X1)), archimedean_ceiling(X0,X1),archim6421214686448440834_floor(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f4310])).
% 58.13/9.49 tff(f4310,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X9 : X0] : archimedean_round(X0,X9) = $ite(aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X9)), archimedean_ceiling(X0,X9),archim6421214686448440834_floor(X0,X9)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4309_round__altdef)).
% 58.13/9.49 tff(f95158,plain,(
% 58.13/9.49 spl5880_2985),
% 58.13/9.49 inference(avatar_split_clause,[],[f51227,f95156])).
% 58.13/9.49 tff(f95156,plain,(
% 58.13/9.49 spl5880_2985 <=> ! [X0 : $tType] : (one_one(int) = archim6421214686448440834_floor(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2985])])).
% 58.13/9.49 tff(f51227,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (one_one(int) = archim6421214686448440834_floor(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28584])).
% 58.13/9.49 tff(f28584,plain,(
% 58.13/9.49 ! [X0 : $tType] : (one_one(int) = archim6421214686448440834_floor(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f4118])).
% 58.13/9.49 tff(f4118,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = archim6421214686448440834_floor(X0,one_one(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4117_floor__one)).
% 58.13/9.49 tff(f95154,plain,(
% 58.13/9.49 spl5880_2984),
% 58.13/9.49 inference(avatar_split_clause,[],[f51226,f95152])).
% 58.13/9.49 tff(f95152,plain,(
% 58.13/9.49 spl5880_2984 <=> ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2984])])).
% 58.13/9.49 tff(f51226,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28583])).
% 58.13/9.49 tff(f28583,plain,(
% 58.13/9.49 ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f3271])).
% 58.13/9.49 tff(f3271,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = archimedean_ceiling(X0,one_one(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3270_ceiling__one)).
% 58.13/9.49 tff(f95150,plain,(
% 58.13/9.49 spl5880_2983),
% 58.13/9.49 inference(avatar_split_clause,[],[f51225,f95148])).
% 58.13/9.49 tff(f95148,plain,(
% 58.13/9.49 spl5880_2983 <=> ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2983])])).
% 58.13/9.49 tff(f51225,plain,(
% 58.13/9.49 ( ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28582])).
% 58.13/9.49 tff(f28582,plain,(
% 58.13/9.49 ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 58.13/9.49 inference(ennf_transformation,[],[f2728])).
% 58.13/9.49 tff(f2728,axiom,(
% 58.13/9.49 ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = archimedean_round(X0,one_one(X0)))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2727_round__1)).
% 58.13/9.49 tff(f95146,plain,(
% 58.13/9.49 spl5880_2982),
% 58.13/9.49 inference(avatar_split_clause,[],[f50648,f95144])).
% 58.13/9.49 tff(f95144,plain,(
% 58.13/9.49 spl5880_2982 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf($true,bG344(sK2549(X0))) = X0 | ~sP1847(X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2982])])).
% 58.13/9.49 tff(f50648,plain,(
% 58.13/9.49 ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf($true,bG344(sK2549(X0))) = X0 | ~sP1847(X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38691])).
% 58.13/9.49 tff(f95142,plain,(
% 58.13/9.49 spl5880_2981),
% 58.13/9.49 inference(avatar_split_clause,[],[f50247,f95140])).
% 58.13/9.49 tff(f95140,plain,(
% 58.13/9.49 spl5880_2981 <=> ! [X0 : nat] : aa(nat,nat,aTP_Lamp_cm(nat,nat),X0) = X0),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2981])])).
% 58.13/9.49 tff(f50247,plain,(
% 58.13/9.49 ( ! [X0 : nat] : (aa(nat,nat,aTP_Lamp_cm(nat,nat),X0) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f22778])).
% 58.13/9.49 tff(f22778,plain,(
% 58.13/9.49 ! [X0 : nat] : aa(nat,nat,aTP_Lamp_cm(nat,nat),X0) = X0),
% 58.13/9.49 inference(rectify,[],[f9023])).
% 58.13/9.49 tff(f9023,axiom,(
% 58.13/9.49 ! [X105 : nat] : aa(nat,nat,aTP_Lamp_cm(nat,nat),X105) = X105),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9022_ATP_Olambda__842)).
% 58.13/9.49 tff(f95138,plain,(
% 58.13/9.49 spl5880_2980),
% 58.13/9.49 inference(avatar_split_clause,[],[f50245,f95136])).
% 58.13/9.49 tff(f95136,plain,(
% 58.13/9.49 spl5880_2980 <=> ! [X0 : int] : aa(int,int,aTP_Lamp_bl(int,int),X0) = X0),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2980])])).
% 58.13/9.49 tff(f50245,plain,(
% 58.13/9.49 ( ! [X0 : int] : (aa(int,int,aTP_Lamp_bl(int,int),X0) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f22776])).
% 58.13/9.49 tff(f22776,plain,(
% 58.13/9.49 ! [X0 : int] : aa(int,int,aTP_Lamp_bl(int,int),X0) = X0),
% 58.13/9.49 inference(rectify,[],[f9024])).
% 58.13/9.49 tff(f9024,axiom,(
% 58.13/9.49 ! [X105 : int] : aa(int,int,aTP_Lamp_bl(int,int),X105) = X105),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9023_ATP_Olambda__843)).
% 58.13/9.49 tff(f95134,plain,(
% 58.13/9.49 spl5880_2979),
% 58.13/9.49 inference(avatar_split_clause,[],[f50244,f95132])).
% 58.13/9.49 tff(f95132,plain,(
% 58.13/9.49 spl5880_2979 <=> ! [X0 : complex] : aa(complex,complex,aTP_Lamp_cf(complex,complex),X0) = X0),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2979])])).
% 58.13/9.49 tff(f50244,plain,(
% 58.13/9.49 ( ! [X0 : complex] : (aa(complex,complex,aTP_Lamp_cf(complex,complex),X0) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f22775])).
% 58.13/9.49 tff(f22775,plain,(
% 58.13/9.49 ! [X0 : complex] : aa(complex,complex,aTP_Lamp_cf(complex,complex),X0) = X0),
% 58.13/9.49 inference(rectify,[],[f9022])).
% 58.13/9.49 tff(f9022,axiom,(
% 58.13/9.49 ! [X105 : complex] : aa(complex,complex,aTP_Lamp_cf(complex,complex),X105) = X105),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9021_ATP_Olambda__841)).
% 58.13/9.49 tff(f95128,plain,(
% 58.13/9.49 spl5880_2978),
% 58.13/9.49 inference(avatar_split_clause,[],[f50243,f95126])).
% 58.13/9.49 tff(f50243,plain,(
% 58.13/9.49 ( ! [X0 : num] : (num_of_nat(aa(num,nat,numeral_numeral(nat),X0)) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f22774])).
% 58.13/9.49 tff(f22774,plain,(
% 58.13/9.49 ! [X0 : num] : num_of_nat(aa(num,nat,numeral_numeral(nat),X0)) = X0),
% 58.13/9.49 inference(rectify,[],[f7099])).
% 58.13/9.49 tff(f7099,axiom,(
% 58.13/9.49 ! [X32 : num] : num_of_nat(aa(num,nat,numeral_numeral(nat),X32)) = X32),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7098_num__of__nat__numeral__eq)).
% 58.13/9.49 tff(f95124,plain,(
% 58.13/9.49 spl5880_2977),
% 58.13/9.49 inference(avatar_split_clause,[],[f50239,f95122])).
% 58.13/9.49 tff(f95122,plain,(
% 58.13/9.49 spl5880_2977 <=> ! [X0 : num] : one2 = bit_or_not_num_neg(aa(num,num,bit1,X0),one2)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2977])])).
% 58.13/9.49 tff(f50239,plain,(
% 58.13/9.49 ( ! [X0 : num] : (one2 = bit_or_not_num_neg(aa(num,num,bit1,X0),one2)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f22770])).
% 58.13/9.49 tff(f22770,plain,(
% 58.13/9.49 ! [X0 : num] : one2 = bit_or_not_num_neg(aa(num,num,bit1,X0),one2)),
% 58.13/9.49 inference(rectify,[],[f4815])).
% 58.13/9.49 tff(f4815,axiom,(
% 58.13/9.49 ! [X8 : num] : one2 = bit_or_not_num_neg(aa(num,num,bit1,X8),one2)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4814_or__not__num__neg_Osimps_I7_J)).
% 58.13/9.49 tff(f95120,plain,(
% 58.13/9.49 spl5880_2976),
% 58.13/9.49 inference(avatar_split_clause,[],[f50044,f95117])).
% 58.13/9.49 tff(f95117,plain,(
% 58.13/9.49 spl5880_2976 <=> zero_zero(real) = aa(real,real,sqrt,zero_zero(real))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2976])])).
% 58.13/9.49 tff(f50044,plain,(
% 58.13/9.49 zero_zero(real) = aa(real,real,sqrt,zero_zero(real))),
% 58.13/9.49 inference(cnf_transformation,[],[f3756])).
% 58.13/9.49 tff(f3756,axiom,(
% 58.13/9.49 zero_zero(real) = aa(real,real,sqrt,zero_zero(real))),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3755_real__sqrt__zero)).
% 58.13/9.49 tff(f95115,plain,(
% 58.13/9.49 spl5880_2975),
% 58.13/9.49 inference(avatar_split_clause,[],[f50038,f95112])).
% 58.13/9.49 tff(f95112,plain,(
% 58.13/9.49 spl5880_2975 <=> ord_max(nat) = sup_sup(nat)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2975])])).
% 58.13/9.49 tff(f50038,plain,(
% 58.13/9.49 ord_max(nat) = sup_sup(nat)),
% 58.13/9.49 inference(cnf_transformation,[],[f7285])).
% 58.13/9.49 tff(f7285,axiom,(
% 58.13/9.49 ord_max(nat) = sup_sup(nat)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7284_sup__nat__def)).
% 58.13/9.49 tff(f95110,plain,(
% 58.13/9.49 spl5880_2974),
% 58.13/9.49 inference(avatar_split_clause,[],[f50037,f95107])).
% 58.13/9.49 tff(f95107,plain,(
% 58.13/9.49 spl5880_2974 <=> ord_max(extended_enat) = sup_sup(extended_enat)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2974])])).
% 58.13/9.49 tff(f50037,plain,(
% 58.13/9.49 ord_max(extended_enat) = sup_sup(extended_enat)),
% 58.13/9.49 inference(cnf_transformation,[],[f7286])).
% 58.13/9.49 tff(f7286,axiom,(
% 58.13/9.49 ord_max(extended_enat) = sup_sup(extended_enat)),
% 58.13/9.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7285_sup__enat__def)).
% 58.13/9.49 tff(f95104,plain,(
% 58.13/9.49 ~spl5880_2972 | spl5880_2973),
% 58.13/9.49 inference(avatar_split_clause,[],[f49263,f95101,f95097])).
% 58.13/9.49 tff(f95097,plain,(
% 58.13/9.49 spl5880_2972 <=> none(nat) = maxs97),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2972])])).
% 58.13/9.49 tff(f49263,plain,(
% 58.13/9.49 one_one(nat) = iG270 | none(nat) != maxs97),
% 58.13/9.49 inference(cnf_transformation,[],[f28138])).
% 58.13/9.49 tff(f28138,plain,(
% 58.13/9.49 (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),aa(option(nat),nat,the2(nat),maxs97)))) = iG270 | none(nat) = maxs97) & (one_one(nat) = iG270 | none(nat) != maxs97)),
% 58.13/9.49 inference(ennf_transformation,[],[f22706])).
% 58.13/9.49 tff(f22706,plain,(
% 58.13/9.49 (none(nat) != maxs97 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),aa(option(nat),nat,the2(nat),maxs97)))) = iG270) & (none(nat) = maxs97 => one_one(nat) = iG270)),
% 58.13/9.49 inference(flattening,[],[f9840])).
% 58.13/9.49 tff(f9840,plain,(
% 58.13/9.49 (~none(nat) = maxs97 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),aa(option(nat),nat,the2(nat),maxs97)))) = iG270) & (none(nat) = maxs97 => one_one(nat) = iG270)),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG270])])).
% 58.13/9.49 tff(f95095,plain,(
% 58.13/9.49 ~spl5880_2971 | ~spl5880_1418 | ~spl5880_1420 | ~spl5880_1421 | spl5880_2969),
% 58.13/9.49 inference(avatar_split_clause,[],[f95089,f95081,f85667,f85662,f85651,f95092])).
% 58.13/9.49 tff(f95092,plain,(
% 58.13/9.49 spl5880_2971 <=> none(nat) = maxs77),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2971])])).
% 58.13/9.49 tff(f95081,plain,(
% 58.13/9.49 spl5880_2969 <=> none(nat) = maxs83),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2969])])).
% 58.13/9.49 tff(f95089,plain,(
% 58.13/9.49 none(nat) != maxs77 | (~spl5880_1418 | ~spl5880_1420 | ~spl5880_1421 | spl5880_2969)),
% 58.13/9.49 inference(forward_demodulation,[],[f95083,f86072])).
% 58.13/9.49 tff(f95083,plain,(
% 58.13/9.49 none(nat) != maxs83 | spl5880_2969),
% 58.13/9.49 inference(avatar_component_clause,[],[f95081])).
% 58.13/9.49 tff(f95088,plain,(
% 58.13/9.49 ~spl5880_2969 | spl5880_2970),
% 58.13/9.49 inference(avatar_split_clause,[],[f49230,f95085,f95081])).
% 58.13/9.49 tff(f49230,plain,(
% 58.13/9.49 one_one(nat) = iG281 | none(nat) != maxs83),
% 58.13/9.49 inference(cnf_transformation,[],[f28126])).
% 58.13/9.49 tff(f28126,plain,(
% 58.13/9.49 (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist81),aa(option(nat),nat,the2(nat),maxs83)))) = iG281 | none(nat) = maxs83) & (one_one(nat) = iG281 | none(nat) != maxs83)),
% 58.13/9.49 inference(ennf_transformation,[],[f22696])).
% 58.13/9.49 tff(f22696,plain,(
% 58.13/9.49 (none(nat) != maxs83 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist81),aa(option(nat),nat,the2(nat),maxs83)))) = iG281) & (none(nat) = maxs83 => one_one(nat) = iG281)),
% 58.13/9.49 inference(flattening,[],[f9865])).
% 58.13/9.49 tff(f9865,plain,(
% 58.13/9.49 (~none(nat) = maxs83 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist81),aa(option(nat),nat,the2(nat),maxs83)))) = iG281) & (none(nat) = maxs83 => one_one(nat) = iG281)),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG281])])).
% 58.13/9.49 tff(f95078,plain,(
% 58.13/9.49 ~spl5880_2967 | spl5880_2968),
% 58.13/9.49 inference(avatar_split_clause,[],[f49209,f95075,f95071])).
% 58.13/9.49 tff(f95071,plain,(
% 58.13/9.49 spl5880_2967 <=> none(nat) = maxs90),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2967])])).
% 58.13/9.49 tff(f49209,plain,(
% 58.13/9.49 one_one(nat) = iG288 | none(nat) != maxs90),
% 58.13/9.49 inference(cnf_transformation,[],[f28119])).
% 58.13/9.49 tff(f28119,plain,(
% 58.13/9.49 (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),aa(option(nat),nat,the2(nat),maxs90)))) = iG288 | none(nat) = maxs90) & (one_one(nat) = iG288 | none(nat) != maxs90)),
% 58.13/9.49 inference(ennf_transformation,[],[f22689])).
% 58.13/9.49 tff(f22689,plain,(
% 58.13/9.49 (none(nat) != maxs90 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),aa(option(nat),nat,the2(nat),maxs90)))) = iG288) & (none(nat) = maxs90 => one_one(nat) = iG288)),
% 58.13/9.49 inference(flattening,[],[f9881])).
% 58.13/9.49 tff(f9881,plain,(
% 58.13/9.49 (~none(nat) = maxs90 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2))))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),aa(option(nat),nat,the2(nat),maxs90)))) = iG288) & (none(nat) = maxs90 => one_one(nat) = iG288)),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG288])])).
% 58.13/9.49 tff(f95069,plain,(
% 58.13/9.49 spl5880_2966),
% 58.13/9.49 inference(avatar_split_clause,[],[f49177,f95067])).
% 58.13/9.49 tff(f95067,plain,(
% 58.13/9.49 spl5880_2966 <=> ! [X0 : int] : (iG305(X0) = iG306(X0) | zero_zero(int) = X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2966])])).
% 58.13/9.49 tff(f49177,plain,(
% 58.13/9.49 ( ! [X0 : int] : (iG305(X0) = iG306(X0) | zero_zero(int) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f28105])).
% 58.13/9.49 tff(f28105,plain,(
% 58.13/9.49 ! [X0 : int] : (iG305(X0) = iG306(X0) | zero_zero(int) = X0) & ! [X1 : int] : (zero_zero(code_integer) = iG306(X1) | zero_zero(int) != X1)),
% 58.13/9.49 inference(ennf_transformation,[],[f22666])).
% 58.13/9.49 tff(f22666,plain,(
% 58.13/9.49 ! [X0 : int] : (zero_zero(int) != X0 => iG305(X0) = iG306(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(code_integer) = iG306(X1))),
% 58.13/9.49 inference(flattening,[],[f22665])).
% 58.13/9.49 tff(f22665,plain,(
% 58.13/9.49 ! [X0 : int] : (~zero_zero(int) = X0 => iG305(X0) = iG306(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(code_integer) = iG306(X1))),
% 58.13/9.49 inference(rectify,[],[f9924])).
% 58.13/9.49 tff(f95065,plain,(
% 58.13/9.49 spl5880_2965),
% 58.13/9.49 inference(avatar_split_clause,[],[f48819,f95063])).
% 58.13/9.49 tff(f95063,plain,(
% 58.13/9.49 spl5880_2965 <=> ! [X1 : $tType,X0 : X1] : (($true = bG473(X1,X0)) | zero_zero(X1) = X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2965])])).
% 58.13/9.49 tff(f48819,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : X1] : (($true = bG473(X1,X0)) | zero_zero(X1) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38629])).
% 58.13/9.49 tff(f38629,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : ((zero_zero(X1) != X0 | ($true != bG473(X1,X0))) & (($true = bG473(X1,X0)) | zero_zero(X1) = X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f22394])).
% 58.13/9.49 tff(f22394,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 <=> ($true = bG473(X1,X0)))),
% 58.13/9.49 inference(rectify,[],[f11713])).
% 58.13/9.49 tff(f11713,plain,(
% 58.13/9.49 ! [X1 : X0,X0 : $tType] : (zero_zero(X0) != X1 <=> ($true = bG473(X0,X1)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG473])])).
% 58.13/9.49 tff(f95061,plain,(
% 58.13/9.49 spl5880_2964),
% 58.13/9.49 inference(avatar_split_clause,[],[f48813,f95059])).
% 58.13/9.49 tff(f95059,plain,(
% 58.13/9.49 spl5880_2964 <=> ! [X1 : $tType,X0 : X1] : (($true = bG476(X1,X0)) | zero_zero(X1) = X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2964])])).
% 58.13/9.49 tff(f48813,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : X1] : (($true = bG476(X1,X0)) | zero_zero(X1) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38626])).
% 58.13/9.49 tff(f38626,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : ((zero_zero(X1) != X0 | ($true != bG476(X1,X0))) & (($true = bG476(X1,X0)) | zero_zero(X1) = X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f22391])).
% 58.13/9.49 tff(f22391,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 <=> ($true = bG476(X1,X0)))),
% 58.13/9.49 inference(rectify,[],[f12076])).
% 58.13/9.49 tff(f12076,plain,(
% 58.13/9.49 ! [X1 : X0,X0 : $tType] : (zero_zero(X0) != X1 <=> ($true = bG476(X0,X1)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG476])])).
% 58.13/9.49 tff(f95057,plain,(
% 58.13/9.49 spl5880_2963),
% 58.13/9.49 inference(avatar_split_clause,[],[f48811,f95055])).
% 58.13/9.49 tff(f95055,plain,(
% 58.13/9.49 spl5880_2963 <=> ! [X1 : $tType,X0 : X1] : (($true = bG477(X1,X0)) | zero_zero(X1) = X0)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2963])])).
% 58.13/9.49 tff(f48811,plain,(
% 58.13/9.49 ( ! [X1 : $tType,X0 : X1] : (($true = bG477(X1,X0)) | zero_zero(X1) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38625])).
% 58.13/9.49 tff(f38625,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : ((zero_zero(X1) != X0 | ($true != bG477(X1,X0))) & (($true = bG477(X1,X0)) | zero_zero(X1) = X0))),
% 58.13/9.49 inference(nnf_transformation,[],[f22390])).
% 58.13/9.49 tff(f22390,plain,(
% 58.13/9.49 ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 <=> ($true = bG477(X1,X0)))),
% 58.13/9.49 inference(rectify,[],[f12079])).
% 58.13/9.49 tff(f12079,plain,(
% 58.13/9.49 ! [X1 : X0,X0 : $tType] : (zero_zero(X0) != X1 <=> ($true = bG477(X0,X1)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG477])])).
% 58.13/9.49 tff(f95053,plain,(
% 58.13/9.49 spl5880_2962),
% 58.13/9.49 inference(avatar_split_clause,[],[f48760,f95051])).
% 58.13/9.49 tff(f95051,plain,(
% 58.13/9.49 spl5880_2962 <=> ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = iG503(X0,X1) | ($true = X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2962])])).
% 58.13/9.49 tff(f48760,plain,(
% 58.13/9.49 ( ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = iG503(X0,X1) | ($true = X1)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27970])).
% 58.13/9.49 tff(f27970,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = iG503(X0,X1) | ($true = X1)) & ! [X2 : $tType,X3 : $o] : (one_one(X2) = iG503(X2,X3) | ($true != X3))),
% 58.13/9.49 inference(ennf_transformation,[],[f22354])).
% 58.13/9.49 tff(f22354,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : $o] : (($true != X1) => zero_zero(X0) = iG503(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => one_one(X2) = iG503(X2,X3))),
% 58.13/9.49 inference(flattening,[],[f22353])).
% 58.13/9.49 tff(f22353,plain,(
% 58.13/9.49 ! [X0 : $tType,X1 : $o] : (~($true = X1) => zero_zero(X0) = iG503(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => one_one(X2) = iG503(X2,X3))),
% 58.13/9.49 inference(rectify,[],[f12573])).
% 58.13/9.49 tff(f95049,plain,(
% 58.13/9.49 spl5880_2961),
% 58.13/9.49 inference(avatar_split_clause,[],[f48480,f95047])).
% 58.13/9.49 tff(f95047,plain,(
% 58.13/9.49 spl5880_2961 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG643(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2961])])).
% 58.13/9.49 tff(f48480,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG643(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38541])).
% 58.13/9.49 tff(f38541,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG643(X0,X1))) & (($true = bG643(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f14629])).
% 58.13/9.49 tff(f95045,plain,(
% 58.13/9.49 spl5880_2960),
% 58.13/9.49 inference(avatar_split_clause,[],[f48479,f95043])).
% 58.13/9.49 tff(f95043,plain,(
% 58.13/9.49 spl5880_2960 <=> ! [X0 : int,X1 : int] : (($true = bG643(X0,X1)) | dvd_dvd(int,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2960])])).
% 58.13/9.49 tff(f48479,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (($true = bG643(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38541])).
% 58.13/9.49 tff(f95041,plain,(
% 58.13/9.49 spl5880_2959),
% 58.13/9.49 inference(avatar_split_clause,[],[f48472,f95039])).
% 58.13/9.49 tff(f95039,plain,(
% 58.13/9.49 spl5880_2959 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG647(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2959])])).
% 58.13/9.49 tff(f48472,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG647(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38540])).
% 58.13/9.49 tff(f38540,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG647(X0,X1))) & (($true = bG647(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f14637])).
% 58.13/9.49 tff(f95037,plain,(
% 58.13/9.49 spl5880_2958),
% 58.13/9.49 inference(avatar_split_clause,[],[f48471,f95035])).
% 58.13/9.49 tff(f95035,plain,(
% 58.13/9.49 spl5880_2958 <=> ! [X0 : int,X1 : int] : (($true = bG647(X0,X1)) | dvd_dvd(int,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2958])])).
% 58.13/9.49 tff(f48471,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (($true = bG647(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38540])).
% 58.13/9.49 tff(f95033,plain,(
% 58.13/9.49 spl5880_2957),
% 58.13/9.49 inference(avatar_split_clause,[],[f48318,f95031])).
% 58.13/9.49 tff(f95031,plain,(
% 58.13/9.49 spl5880_2957 <=> ! [X0 : $o] : (none(nat) = iG720(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2957])])).
% 58.13/9.49 tff(f48318,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG720(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27842])).
% 58.13/9.49 tff(f95029,plain,(
% 58.13/9.49 spl5880_2956),
% 58.13/9.49 inference(avatar_split_clause,[],[f48310,f95027])).
% 58.13/9.49 tff(f95027,plain,(
% 58.13/9.49 spl5880_2956 <=> ! [X0 : $o] : (none(nat) = iG724(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2956])])).
% 58.13/9.49 tff(f48310,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG724(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27840])).
% 58.13/9.49 tff(f95025,plain,(
% 58.13/9.49 spl5880_2955),
% 58.13/9.49 inference(avatar_split_clause,[],[f48278,f95023])).
% 58.13/9.49 tff(f95023,plain,(
% 58.13/9.49 spl5880_2955 <=> ! [X0 : $o] : (none(nat) = iG740(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2955])])).
% 58.13/9.49 tff(f48278,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG740(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27838])).
% 58.13/9.49 tff(f95021,plain,(
% 58.13/9.49 spl5880_2954),
% 58.13/9.49 inference(avatar_split_clause,[],[f48264,f95019])).
% 58.13/9.49 tff(f95019,plain,(
% 58.13/9.49 spl5880_2954 <=> ! [X0 : $o] : (none(nat) = iG747(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2954])])).
% 58.13/9.49 tff(f48264,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG747(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27837])).
% 58.13/9.49 tff(f95017,plain,(
% 58.13/9.49 spl5880_2953),
% 58.13/9.49 inference(avatar_split_clause,[],[f48010,f95015])).
% 58.13/9.49 tff(f95015,plain,(
% 58.13/9.49 spl5880_2953 <=> ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG868(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2953])])).
% 58.13/9.49 tff(f48010,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG868(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38396])).
% 58.13/9.49 tff(f38396,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG868(X0,X1))) & (($true = bG868(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f21845])).
% 58.13/9.49 tff(f21845,plain,(
% 58.13/9.49 ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG868(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f15440])).
% 58.13/9.49 tff(f15440,plain,(
% 58.13/9.49 ! [X1 : int,X0 : int] : (~dvd_dvd(int,X0,X1) <=> ($true = bG868(X1,X0)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG868])])).
% 58.13/9.49 tff(f95013,plain,(
% 58.13/9.49 spl5880_2952),
% 58.13/9.49 inference(avatar_split_clause,[],[f48009,f95011])).
% 58.13/9.49 tff(f95011,plain,(
% 58.13/9.49 spl5880_2952 <=> ! [X0 : int,X1 : int] : (($true = bG868(X0,X1)) | dvd_dvd(int,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2952])])).
% 58.13/9.49 tff(f48009,plain,(
% 58.13/9.49 ( ! [X0 : int,X1 : int] : (($true = bG868(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38396])).
% 58.13/9.49 tff(f95009,plain,(
% 58.13/9.49 spl5880_2951),
% 58.13/9.49 inference(avatar_split_clause,[],[f47952,f95007])).
% 58.13/9.49 tff(f95007,plain,(
% 58.13/9.49 spl5880_2951 <=> ! [X0 : $o] : (none(nat) = iG899(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2951])])).
% 58.13/9.49 tff(f47952,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG899(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27780])).
% 58.13/9.49 tff(f95005,plain,(
% 58.13/9.49 spl5880_2950),
% 58.13/9.49 inference(avatar_split_clause,[],[f47944,f95003])).
% 58.13/9.49 tff(f95003,plain,(
% 58.13/9.49 spl5880_2950 <=> ! [X0 : $o] : (none(nat) = iG903(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2950])])).
% 58.13/9.49 tff(f47944,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG903(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27778])).
% 58.13/9.49 tff(f95001,plain,(
% 58.13/9.49 spl5880_2949),
% 58.13/9.49 inference(avatar_split_clause,[],[f47932,f94999])).
% 58.13/9.49 tff(f94999,plain,(
% 58.13/9.49 spl5880_2949 <=> ! [X0 : $o] : (none(nat) = iG909(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2949])])).
% 58.13/9.49 tff(f47932,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG909(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27776])).
% 58.13/9.49 tff(f94997,plain,(
% 58.13/9.49 spl5880_2948),
% 58.13/9.49 inference(avatar_split_clause,[],[f47924,f94995])).
% 58.13/9.49 tff(f94995,plain,(
% 58.13/9.49 spl5880_2948 <=> ! [X0 : $o] : (none(nat) = iG913(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2948])])).
% 58.13/9.49 tff(f47924,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG913(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27774])).
% 58.13/9.49 tff(f94993,plain,(
% 58.13/9.49 spl5880_2947),
% 58.13/9.49 inference(avatar_split_clause,[],[f47638,f94991])).
% 58.13/9.49 tff(f94991,plain,(
% 58.13/9.49 spl5880_2947 <=> ! [X0 : $o] : (none(nat) = iG1038(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2947])])).
% 58.13/9.49 tff(f47638,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1038(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27712])).
% 58.13/9.49 tff(f94989,plain,(
% 58.13/9.49 spl5880_2946),
% 58.13/9.49 inference(avatar_split_clause,[],[f46994,f94987])).
% 58.13/9.49 tff(f94987,plain,(
% 58.13/9.49 spl5880_2946 <=> ! [X0 : $o] : (none(nat) = iG1381(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2946])])).
% 58.13/9.49 tff(f46994,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1381(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27569])).
% 58.13/9.49 tff(f94985,plain,(
% 58.13/9.49 spl5880_2945),
% 58.13/9.49 inference(avatar_split_clause,[],[f46988,f94983])).
% 58.13/9.49 tff(f94983,plain,(
% 58.13/9.49 spl5880_2945 <=> ! [X0 : $o] : (none(nat) = iG1384(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2945])])).
% 58.13/9.49 tff(f46988,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1384(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27568])).
% 58.13/9.49 tff(f94981,plain,(
% 58.13/9.49 spl5880_2944),
% 58.13/9.49 inference(avatar_split_clause,[],[f46965,f94979])).
% 58.13/9.49 tff(f94979,plain,(
% 58.13/9.49 spl5880_2944 <=> ! [X0 : $o] : (none(nat) = iG1397(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2944])])).
% 58.13/9.49 tff(f46965,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1397(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27560])).
% 58.13/9.49 tff(f94977,plain,(
% 58.13/9.49 spl5880_2943),
% 58.13/9.49 inference(avatar_split_clause,[],[f46942,f94975])).
% 58.13/9.49 tff(f94975,plain,(
% 58.13/9.49 spl5880_2943 <=> ! [X0 : $o] : (none(nat) = iG1410(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2943])])).
% 58.13/9.49 tff(f46942,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1410(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27554])).
% 58.13/9.49 tff(f94973,plain,(
% 58.13/9.49 spl5880_2942),
% 58.13/9.49 inference(avatar_split_clause,[],[f46903,f94971])).
% 58.13/9.49 tff(f94971,plain,(
% 58.13/9.49 spl5880_2942 <=> ! [X0 : $o] : (none(nat) = iG1431(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2942])])).
% 58.13/9.49 tff(f46903,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1431(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27548])).
% 58.13/9.49 tff(f94969,plain,(
% 58.13/9.49 spl5880_2941),
% 58.13/9.49 inference(avatar_split_clause,[],[f46893,f94967])).
% 58.13/9.49 tff(f94967,plain,(
% 58.13/9.49 spl5880_2941 <=> ! [X0 : $o] : (none(nat) = iG1436(X0) | ($true = X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2941])])).
% 58.13/9.49 tff(f46893,plain,(
% 58.13/9.49 ( ! [X0 : $o] : (none(nat) = iG1436(X0) | ($true = X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27547])).
% 58.13/9.49 tff(f94964,plain,(
% 58.13/9.49 spl5880_2940),
% 58.13/9.49 inference(avatar_split_clause,[],[f46789,f94962])).
% 58.13/9.49 tff(f46789,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : $o] : (($false = iG1485(X0,X1)) | one_one(nat) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27522])).
% 58.13/9.49 tff(f27522,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (($false = iG1485(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG1484(X3) = iG1485(X2,X3)) | one_one(nat) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f21019])).
% 58.13/9.49 tff(f21019,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG1485(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1484(X3) = iG1485(X2,X3)))),
% 58.13/9.49 inference(flattening,[],[f21018])).
% 58.13/9.49 tff(f21018,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG1485(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1484(X3) = iG1485(X2,X3)))),
% 58.13/9.49 inference(rectify,[],[f17979])).
% 58.13/9.49 tff(f17979,plain,(
% 58.13/9.49 ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => ($false = iG1485(X1,X4))) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (bG1484(X4) = iG1485(X1,X4)))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1485])])).
% 58.13/9.49 tff(f94959,plain,(
% 58.13/9.49 spl5880_2939),
% 58.13/9.49 inference(avatar_split_clause,[],[f46712,f94957])).
% 58.13/9.49 tff(f46712,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : $o] : (($false = iG1521(X0,X1)) | one_one(nat) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27508])).
% 58.13/9.49 tff(f27508,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (($false = iG1521(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG1520(X3) = iG1521(X2,X3)) | one_one(nat) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f20960])).
% 58.13/9.49 tff(f20960,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG1521(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1520(X3) = iG1521(X2,X3)))),
% 58.13/9.49 inference(flattening,[],[f20959])).
% 58.13/9.49 tff(f20959,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG1521(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1520(X3) = iG1521(X2,X3)))),
% 58.13/9.49 inference(rectify,[],[f18023])).
% 58.13/9.49 tff(f18023,plain,(
% 58.13/9.49 ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => ($false = iG1521(X1,X4))) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (bG1520(X4) = iG1521(X1,X4)))),
% 58.13/9.49 introduced(fool_ite_definition,[new_symbols(definition,[iG1521])])).
% 58.13/9.49 tff(f94954,plain,(
% 58.13/9.49 spl5880_2938),
% 58.13/9.49 inference(avatar_split_clause,[],[f46670,f94952])).
% 58.13/9.49 tff(f46670,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : $o] : (($false = iG1541(X0,X1)) | one_one(nat) = X0) )),
% 58.13/9.49 inference(cnf_transformation,[],[f27497])).
% 58.13/9.49 tff(f27497,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (($false = iG1541(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG1540(X3) = iG1541(X2,X3)) | one_one(nat) != X2)),
% 58.13/9.49 inference(ennf_transformation,[],[f20931])).
% 58.13/9.49 tff(f20931,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG1541(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1540(X3) = iG1541(X2,X3)))),
% 58.13/9.49 inference(flattening,[],[f20930])).
% 58.13/9.49 tff(f20930,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG1541(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG1540(X3) = iG1541(X2,X3)))),
% 58.13/9.49 inference(rectify,[],[f18895])).
% 58.13/9.49 tff(f94950,plain,(
% 58.13/9.49 spl5880_2937),
% 58.13/9.49 inference(avatar_split_clause,[],[f46636,f94948])).
% 58.13/9.49 tff(f94948,plain,(
% 58.13/9.49 spl5880_2937 <=> ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG1558(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2937])])).
% 58.13/9.49 tff(f46636,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG1558(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38020])).
% 58.13/9.49 tff(f38020,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,X1,X0) | ($true != bG1558(X0,X1))) & (($true = bG1558(X0,X1)) | dvd_dvd(nat,X1,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f20902])).
% 58.13/9.49 tff(f20902,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) <=> ($true = bG1558(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f18990])).
% 58.13/9.49 tff(f18990,plain,(
% 58.13/9.49 ! [X1 : nat,X3 : nat] : (~dvd_dvd(nat,X3,X1) <=> ($true = bG1558(X1,X3)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG1558])])).
% 58.13/9.49 tff(f94946,plain,(
% 58.13/9.49 spl5880_2936),
% 58.13/9.49 inference(avatar_split_clause,[],[f46635,f94944])).
% 58.13/9.49 tff(f94944,plain,(
% 58.13/9.49 spl5880_2936 <=> ! [X0 : nat,X1 : nat] : (($true = bG1558(X0,X1)) | dvd_dvd(nat,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2936])])).
% 58.13/9.49 tff(f46635,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (($true = bG1558(X0,X1)) | dvd_dvd(nat,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38020])).
% 58.13/9.49 tff(f94942,plain,(
% 58.13/9.49 spl5880_2935),
% 58.13/9.49 inference(avatar_split_clause,[],[f46628,f94940])).
% 58.13/9.49 tff(f94940,plain,(
% 58.13/9.49 spl5880_2935 <=> ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG1561(X0,X1)))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2935])])).
% 58.13/9.49 tff(f46628,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG1561(X0,X1))) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38019])).
% 58.13/9.49 tff(f38019,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,X1,X0) | ($true != bG1561(X0,X1))) & (($true = bG1561(X0,X1)) | dvd_dvd(nat,X1,X0)))),
% 58.13/9.49 inference(nnf_transformation,[],[f20898])).
% 58.13/9.49 tff(f20898,plain,(
% 58.13/9.49 ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) <=> ($true = bG1561(X0,X1)))),
% 58.13/9.49 inference(rectify,[],[f18995])).
% 58.13/9.49 tff(f18995,plain,(
% 58.13/9.49 ! [X1 : nat,X3 : nat] : (~dvd_dvd(nat,X3,X1) <=> ($true = bG1561(X1,X3)))),
% 58.13/9.49 introduced(fool_formula_definition,[new_symbols(definition,[bG1561])])).
% 58.13/9.49 tff(f94938,plain,(
% 58.13/9.49 spl5880_2934),
% 58.13/9.49 inference(avatar_split_clause,[],[f46627,f94936])).
% 58.13/9.49 tff(f94936,plain,(
% 58.13/9.49 spl5880_2934 <=> ! [X0 : nat,X1 : nat] : (($true = bG1561(X0,X1)) | dvd_dvd(nat,X1,X0))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2934])])).
% 58.13/9.49 tff(f46627,plain,(
% 58.13/9.49 ( ! [X0 : nat,X1 : nat] : (($true = bG1561(X0,X1)) | dvd_dvd(nat,X1,X0)) )),
% 58.13/9.49 inference(cnf_transformation,[],[f38019])).
% 58.13/9.49 tff(f94934,plain,(
% 58.13/9.49 spl5880_2933),
% 58.13/9.49 inference(avatar_split_clause,[],[f46224,f94932])).
% 58.13/9.49 tff(f94932,plain,(
% 58.13/9.49 spl5880_2933 <=> ! [X4 : nat,X0 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2933])])).
% 58.13/9.49 tff(f46224,plain,(
% 58.13/9.49 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1846(X4,X3,X2,X1,X0) | X0 = X1) )),
% 58.13/9.49 inference(cnf_transformation,[],[f37993])).
% 58.13/9.49 tff(f94839,plain,(
% 58.13/9.49 spl5880_2932 | ~spl5880_1544 | ~spl5880_2813),
% 58.13/9.49 inference(avatar_split_clause,[],[f94171,f94168,f86336,f94837])).
% 58.13/9.49 tff(f94837,plain,(
% 58.13/9.49 spl5880_2932 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X0,iG717($true),X1,X2),X3)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2932])])).
% 58.13/9.49 tff(f94168,plain,(
% 58.13/9.49 spl5880_2813 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X0,iG894($true),X1,X2),X3)),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2813])])).
% 58.13/9.49 tff(f94171,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (~vEBT_V5719532721284313246member(vEBT_Node(X0,iG717($true),X1,X2),X3)) ) | (~spl5880_1544 | ~spl5880_2813)),
% 58.13/9.49 inference(forward_demodulation,[],[f94169,f86338])).
% 58.13/9.49 tff(f94169,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (~vEBT_V5719532721284313246member(vEBT_Node(X0,iG894($true),X1,X2),X3)) ) | ~spl5880_2813),
% 58.13/9.49 inference(avatar_component_clause,[],[f94168])).
% 58.13/9.49 tff(f94835,plain,(
% 58.13/9.49 spl5880_2931 | ~spl5880_1536 | ~spl5880_2812),
% 58.13/9.49 inference(avatar_split_clause,[],[f94166,f94163,f86300,f94833])).
% 58.13/9.49 tff(f94833,plain,(
% 58.13/9.49 spl5880_2931 <=> ! [X0 : $o,X1 : $o] : vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),iG714($true))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2931])])).
% 58.13/9.49 tff(f94163,plain,(
% 58.13/9.49 spl5880_2812 <=> ! [X0 : $o,X1 : $o] : vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),iG1228($true))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2812])])).
% 58.13/9.49 tff(f94166,plain,(
% 58.13/9.49 ( ! [X0 : $o,X1 : $o] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_2812)),
% 58.13/9.49 inference(forward_demodulation,[],[f94164,f86302])).
% 58.13/9.49 tff(f94164,plain,(
% 58.13/9.49 ( ! [X0 : $o,X1 : $o] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),iG1228($true))) ) | ~spl5880_2812),
% 58.13/9.49 inference(avatar_component_clause,[],[f94163])).
% 58.13/9.49 tff(f94831,plain,(
% 58.13/9.49 spl5880_2930 | ~spl5880_1536 | ~spl5880_2811),
% 58.13/9.49 inference(avatar_split_clause,[],[f94161,f94158,f86300,f94829])).
% 58.13/9.49 tff(f94829,plain,(
% 58.13/9.49 spl5880_2930 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG714($true) = X0 | ~sP2333(X0,$true,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2930])])).
% 58.13/9.49 tff(f94158,plain,(
% 58.13/9.49 spl5880_2811 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2333(X0,$true,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2811])])).
% 58.13/9.49 tff(f94161,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG714($true) = X0 | ~sP2333(X0,$true,X2)) ) | (~spl5880_1536 | ~spl5880_2811)),
% 58.13/9.49 inference(forward_demodulation,[],[f94159,f86302])).
% 58.13/9.49 tff(f94159,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2333(X0,$true,X2)) ) | ~spl5880_2811),
% 58.13/9.49 inference(avatar_component_clause,[],[f94158])).
% 58.13/9.49 tff(f94827,plain,(
% 58.13/9.49 spl5880_2929 | ~spl5880_1536 | ~spl5880_2810),
% 58.13/9.49 inference(avatar_split_clause,[],[f94156,f94153,f86300,f94825])).
% 58.13/9.49 tff(f94825,plain,(
% 58.13/9.49 spl5880_2929 <=> ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2333(iG714($true),X1,X2) | ($true = X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2929])])).
% 58.13/9.49 tff(f94153,plain,(
% 58.13/9.49 spl5880_2810 <=> ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2333(iG1228($true),X1,X2) | ($true = X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2810])])).
% 58.13/9.49 tff(f94156,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2333(iG714($true),X1,X2) | ($true = X1)) ) | (~spl5880_1536 | ~spl5880_2810)),
% 58.13/9.49 inference(forward_demodulation,[],[f94154,f86302])).
% 58.13/9.49 tff(f94154,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2333(iG1228($true),X1,X2) | ($true = X1)) ) | ~spl5880_2810),
% 58.13/9.49 inference(avatar_component_clause,[],[f94153])).
% 58.13/9.49 tff(f94823,plain,(
% 58.13/9.49 spl5880_2928 | ~spl5880_1536 | ~spl5880_2809),
% 58.13/9.49 inference(avatar_split_clause,[],[f94151,f94148,f86300,f94821])).
% 58.13/9.49 tff(f94821,plain,(
% 58.13/9.49 spl5880_2928 <=> ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2330(iG714($true),X1,X2) | ($true = X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2928])])).
% 58.13/9.49 tff(f94148,plain,(
% 58.13/9.49 spl5880_2809 <=> ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2330(iG1228($true),X1,X2) | ($true = X1))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2809])])).
% 58.13/9.49 tff(f94151,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2330(iG714($true),X1,X2) | ($true = X1)) ) | (~spl5880_1536 | ~spl5880_2809)),
% 58.13/9.49 inference(forward_demodulation,[],[f94149,f86302])).
% 58.13/9.49 tff(f94149,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2330(iG1228($true),X1,X2) | ($true = X1)) ) | ~spl5880_2809),
% 58.13/9.49 inference(avatar_component_clause,[],[f94148])).
% 58.13/9.49 tff(f94819,plain,(
% 58.13/9.49 spl5880_2927 | ~spl5880_1536 | ~spl5880_2808),
% 58.13/9.49 inference(avatar_split_clause,[],[f94146,f94143,f86300,f94817])).
% 58.13/9.49 tff(f94817,plain,(
% 58.13/9.49 spl5880_2927 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG714($true) = X0 | ~sP2330(X0,$true,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2927])])).
% 58.13/9.49 tff(f94143,plain,(
% 58.13/9.49 spl5880_2808 <=> ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2330(X0,$true,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2808])])).
% 58.13/9.49 tff(f94146,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG714($true) = X0 | ~sP2330(X0,$true,X2)) ) | (~spl5880_1536 | ~spl5880_2808)),
% 58.13/9.49 inference(forward_demodulation,[],[f94144,f86302])).
% 58.13/9.49 tff(f94144,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2330(X0,$true,X2)) ) | ~spl5880_2808),
% 58.13/9.49 inference(avatar_component_clause,[],[f94143])).
% 58.13/9.49 tff(f94815,plain,(
% 58.13/9.49 spl5880_2926 | ~spl5880_1544 | ~spl5880_2807),
% 58.13/9.49 inference(avatar_split_clause,[],[f94141,f94138,f86336,f94813])).
% 58.13/9.49 tff(f94813,plain,(
% 58.13/9.49 spl5880_2926 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2270(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2926])])).
% 58.13/9.49 tff(f94138,plain,(
% 58.13/9.49 spl5880_2807 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2270(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2807])])).
% 58.13/9.49 tff(f94141,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2270(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2807)),
% 58.13/9.49 inference(forward_demodulation,[],[f94139,f86338])).
% 58.13/9.49 tff(f94139,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2270(X0,X1,X2)) ) | ~spl5880_2807),
% 58.13/9.49 inference(avatar_component_clause,[],[f94138])).
% 58.13/9.49 tff(f94811,plain,(
% 58.13/9.49 spl5880_2925 | ~spl5880_1536 | ~spl5880_2806),
% 58.13/9.49 inference(avatar_split_clause,[],[f94136,f94133,f86300,f94809])).
% 58.13/9.49 tff(f94809,plain,(
% 58.13/9.49 spl5880_2925 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG714($true) = X1 | ~sP2271(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2925])])).
% 58.13/9.49 tff(f94133,plain,(
% 58.13/9.49 spl5880_2806 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2271(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2806])])).
% 58.13/9.49 tff(f94136,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG714($true) = X1 | ~sP2271(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2806)),
% 58.13/9.49 inference(forward_demodulation,[],[f94134,f86302])).
% 58.13/9.49 tff(f94134,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2271(X0,X1,X2)) ) | ~spl5880_2806),
% 58.13/9.49 inference(avatar_component_clause,[],[f94133])).
% 58.13/9.49 tff(f94807,plain,(
% 58.13/9.49 spl5880_2924 | ~spl5880_1544 | ~spl5880_2805),
% 58.13/9.49 inference(avatar_split_clause,[],[f94131,f94128,f86336,f94805])).
% 58.13/9.49 tff(f94805,plain,(
% 58.13/9.49 spl5880_2924 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2265(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2924])])).
% 58.13/9.49 tff(f94128,plain,(
% 58.13/9.49 spl5880_2805 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2265(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2805])])).
% 58.13/9.49 tff(f94131,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2265(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2805)),
% 58.13/9.49 inference(forward_demodulation,[],[f94129,f86338])).
% 58.13/9.49 tff(f94129,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2265(X0,X1,X2)) ) | ~spl5880_2805),
% 58.13/9.49 inference(avatar_component_clause,[],[f94128])).
% 58.13/9.49 tff(f94803,plain,(
% 58.13/9.49 spl5880_2923 | ~spl5880_1544 | ~spl5880_2804),
% 58.13/9.49 inference(avatar_split_clause,[],[f94126,f94123,f86336,f94801])).
% 58.13/9.49 tff(f94801,plain,(
% 58.13/9.49 spl5880_2923 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2261(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2923])])).
% 58.13/9.49 tff(f94123,plain,(
% 58.13/9.49 spl5880_2804 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2261(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2804])])).
% 58.13/9.49 tff(f94126,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2261(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2804)),
% 58.13/9.49 inference(forward_demodulation,[],[f94124,f86338])).
% 58.13/9.49 tff(f94124,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2261(X0,X1,X2)) ) | ~spl5880_2804),
% 58.13/9.49 inference(avatar_component_clause,[],[f94123])).
% 58.13/9.49 tff(f94799,plain,(
% 58.13/9.49 spl5880_2922 | ~spl5880_1544 | ~spl5880_2803),
% 58.13/9.49 inference(avatar_split_clause,[],[f94121,f94118,f86336,f94797])).
% 58.13/9.49 tff(f94797,plain,(
% 58.13/9.49 spl5880_2922 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2256(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2922])])).
% 58.13/9.49 tff(f94118,plain,(
% 58.13/9.49 spl5880_2803 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2256(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2803])])).
% 58.13/9.49 tff(f94121,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG717($true) = X1 | ~sP2256(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2803)),
% 58.13/9.49 inference(forward_demodulation,[],[f94119,f86338])).
% 58.13/9.49 tff(f94119,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2256(X0,X1,X2)) ) | ~spl5880_2803),
% 58.13/9.49 inference(avatar_component_clause,[],[f94118])).
% 58.13/9.49 tff(f94795,plain,(
% 58.13/9.49 spl5880_2921 | ~spl5880_1536 | ~spl5880_2802),
% 58.13/9.49 inference(avatar_split_clause,[],[f94116,f94113,f86300,f94793])).
% 58.13/9.49 tff(f94793,plain,(
% 58.13/9.49 spl5880_2921 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG714($true) = X1 | ~sP2257(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2921])])).
% 58.13/9.49 tff(f94113,plain,(
% 58.13/9.49 spl5880_2802 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2257(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2802])])).
% 58.13/9.49 tff(f94116,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG714($true) = X1 | ~sP2257(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2802)),
% 58.13/9.49 inference(forward_demodulation,[],[f94114,f86302])).
% 58.13/9.49 tff(f94114,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2257(X0,X1,X2)) ) | ~spl5880_2802),
% 58.13/9.49 inference(avatar_component_clause,[],[f94113])).
% 58.13/9.49 tff(f94791,plain,(
% 58.13/9.49 spl5880_2920 | ~spl5880_1544 | ~spl5880_2801),
% 58.13/9.49 inference(avatar_split_clause,[],[f94111,f94108,f86336,f94789])).
% 58.13/9.49 tff(f94789,plain,(
% 58.13/9.49 spl5880_2920 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2250(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2920])])).
% 58.13/9.49 tff(f94108,plain,(
% 58.13/9.49 spl5880_2801 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2250(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2801])])).
% 58.13/9.49 tff(f94111,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2250(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2801)),
% 58.13/9.49 inference(forward_demodulation,[],[f94109,f86338])).
% 58.13/9.49 tff(f94109,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2250(X0,X1,X2)) ) | ~spl5880_2801),
% 58.13/9.49 inference(avatar_component_clause,[],[f94108])).
% 58.13/9.49 tff(f94787,plain,(
% 58.13/9.49 spl5880_2919 | ~spl5880_1536 | ~spl5880_2800),
% 58.13/9.49 inference(avatar_split_clause,[],[f94106,f94103,f86300,f94785])).
% 58.13/9.49 tff(f94785,plain,(
% 58.13/9.49 spl5880_2919 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2251(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2919])])).
% 58.13/9.49 tff(f94103,plain,(
% 58.13/9.49 spl5880_2800 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2251(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2800])])).
% 58.13/9.49 tff(f94106,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2251(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2800)),
% 58.13/9.49 inference(forward_demodulation,[],[f94104,f86302])).
% 58.13/9.49 tff(f94104,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2251(X0,X1,X2)) ) | ~spl5880_2800),
% 58.13/9.49 inference(avatar_component_clause,[],[f94103])).
% 58.13/9.49 tff(f94783,plain,(
% 58.13/9.49 spl5880_2918 | ~spl5880_1544 | ~spl5880_2799),
% 58.13/9.49 inference(avatar_split_clause,[],[f94101,f94098,f86336,f94781])).
% 58.13/9.49 tff(f94781,plain,(
% 58.13/9.49 spl5880_2918 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2245(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2918])])).
% 58.13/9.49 tff(f94098,plain,(
% 58.13/9.49 spl5880_2799 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2245(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2799])])).
% 58.13/9.49 tff(f94101,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2245(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2799)),
% 58.13/9.49 inference(forward_demodulation,[],[f94099,f86338])).
% 58.13/9.49 tff(f94099,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2245(X0,X1,X2)) ) | ~spl5880_2799),
% 58.13/9.49 inference(avatar_component_clause,[],[f94098])).
% 58.13/9.49 tff(f94779,plain,(
% 58.13/9.49 spl5880_2917 | ~spl5880_1536 | ~spl5880_2798),
% 58.13/9.49 inference(avatar_split_clause,[],[f94096,f94093,f86300,f94777])).
% 58.13/9.49 tff(f94777,plain,(
% 58.13/9.49 spl5880_2917 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2246(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2917])])).
% 58.13/9.49 tff(f94093,plain,(
% 58.13/9.49 spl5880_2798 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2246(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2798])])).
% 58.13/9.49 tff(f94096,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2246(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2798)),
% 58.13/9.49 inference(forward_demodulation,[],[f94094,f86302])).
% 58.13/9.49 tff(f94094,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2246(X0,X1,X2)) ) | ~spl5880_2798),
% 58.13/9.49 inference(avatar_component_clause,[],[f94093])).
% 58.13/9.49 tff(f94775,plain,(
% 58.13/9.49 spl5880_2916 | ~spl5880_1544 | ~spl5880_2797),
% 58.13/9.49 inference(avatar_split_clause,[],[f94091,f94088,f86336,f94773])).
% 58.13/9.49 tff(f94773,plain,(
% 58.13/9.49 spl5880_2916 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2223(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2916])])).
% 58.13/9.49 tff(f94088,plain,(
% 58.13/9.49 spl5880_2797 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2223(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2797])])).
% 58.13/9.49 tff(f94091,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2223(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2797)),
% 58.13/9.49 inference(forward_demodulation,[],[f94089,f86338])).
% 58.13/9.49 tff(f94089,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2223(X0,X1,X2)) ) | ~spl5880_2797),
% 58.13/9.49 inference(avatar_component_clause,[],[f94088])).
% 58.13/9.49 tff(f94771,plain,(
% 58.13/9.49 spl5880_2915 | ~spl5880_1536 | ~spl5880_2796),
% 58.13/9.49 inference(avatar_split_clause,[],[f94086,f94083,f86300,f94769])).
% 58.13/9.49 tff(f94769,plain,(
% 58.13/9.49 spl5880_2915 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2223(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2915])])).
% 58.13/9.49 tff(f94083,plain,(
% 58.13/9.49 spl5880_2796 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2223(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2796])])).
% 58.13/9.49 tff(f94086,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2223(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2796)),
% 58.13/9.49 inference(forward_demodulation,[],[f94084,f86302])).
% 58.13/9.49 tff(f94084,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2223(X0,X1,X2)) ) | ~spl5880_2796),
% 58.13/9.49 inference(avatar_component_clause,[],[f94083])).
% 58.13/9.49 tff(f94767,plain,(
% 58.13/9.49 spl5880_2914 | ~spl5880_1536 | ~spl5880_2795),
% 58.13/9.49 inference(avatar_split_clause,[],[f94081,f94078,f86300,f94765])).
% 58.13/9.49 tff(f94765,plain,(
% 58.13/9.49 spl5880_2914 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2224(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2914])])).
% 58.13/9.49 tff(f94078,plain,(
% 58.13/9.49 spl5880_2795 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2224(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2795])])).
% 58.13/9.49 tff(f94081,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2224(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2795)),
% 58.13/9.49 inference(forward_demodulation,[],[f94079,f86302])).
% 58.13/9.49 tff(f94079,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2224(X0,X1,X2)) ) | ~spl5880_2795),
% 58.13/9.49 inference(avatar_component_clause,[],[f94078])).
% 58.13/9.49 tff(f94763,plain,(
% 58.13/9.49 spl5880_2913 | ~spl5880_1536 | ~spl5880_2794),
% 58.13/9.49 inference(avatar_split_clause,[],[f94076,f94073,f86300,f94761])).
% 58.13/9.49 tff(f94761,plain,(
% 58.13/9.49 spl5880_2913 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2224(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2913])])).
% 58.13/9.49 tff(f94073,plain,(
% 58.13/9.49 spl5880_2794 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2224(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2794])])).
% 58.13/9.49 tff(f94076,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2224(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2794)),
% 58.13/9.49 inference(forward_demodulation,[],[f94074,f86302])).
% 58.13/9.49 tff(f94074,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2224(X0,X1,X2)) ) | ~spl5880_2794),
% 58.13/9.49 inference(avatar_component_clause,[],[f94073])).
% 58.13/9.49 tff(f94759,plain,(
% 58.13/9.49 spl5880_2912 | ~spl5880_1536 | ~spl5880_2793),
% 58.13/9.49 inference(avatar_split_clause,[],[f94071,f94068,f86300,f94757])).
% 58.13/9.49 tff(f94757,plain,(
% 58.13/9.49 spl5880_2912 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2225(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2912])])).
% 58.13/9.49 tff(f94068,plain,(
% 58.13/9.49 spl5880_2793 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2225(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2793])])).
% 58.13/9.49 tff(f94071,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2225(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2793)),
% 58.13/9.49 inference(forward_demodulation,[],[f94069,f86302])).
% 58.13/9.49 tff(f94069,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2225(X0,X1,X2)) ) | ~spl5880_2793),
% 58.13/9.49 inference(avatar_component_clause,[],[f94068])).
% 58.13/9.49 tff(f94755,plain,(
% 58.13/9.49 spl5880_2911 | ~spl5880_1536 | ~spl5880_2792),
% 58.13/9.49 inference(avatar_split_clause,[],[f94066,f94063,f86300,f94753])).
% 58.13/9.49 tff(f94753,plain,(
% 58.13/9.49 spl5880_2911 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2226(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2911])])).
% 58.13/9.49 tff(f94063,plain,(
% 58.13/9.49 spl5880_2792 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2226(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2792])])).
% 58.13/9.49 tff(f94066,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2226(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2792)),
% 58.13/9.49 inference(forward_demodulation,[],[f94064,f86302])).
% 58.13/9.49 tff(f94064,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2226(X0,X1,X2)) ) | ~spl5880_2792),
% 58.13/9.49 inference(avatar_component_clause,[],[f94063])).
% 58.13/9.49 tff(f94751,plain,(
% 58.13/9.49 spl5880_2910 | ~spl5880_1536 | ~spl5880_2791),
% 58.13/9.49 inference(avatar_split_clause,[],[f94061,f94058,f86300,f94749])).
% 58.13/9.49 tff(f94749,plain,(
% 58.13/9.49 spl5880_2910 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2227(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2910])])).
% 58.13/9.49 tff(f94058,plain,(
% 58.13/9.49 spl5880_2791 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2227(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2791])])).
% 58.13/9.49 tff(f94061,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2227(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2791)),
% 58.13/9.49 inference(forward_demodulation,[],[f94059,f86302])).
% 58.13/9.49 tff(f94059,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2227(X0,X1,X2)) ) | ~spl5880_2791),
% 58.13/9.49 inference(avatar_component_clause,[],[f94058])).
% 58.13/9.49 tff(f94747,plain,(
% 58.13/9.49 spl5880_2909 | ~spl5880_1536 | ~spl5880_2790),
% 58.13/9.49 inference(avatar_split_clause,[],[f94056,f94053,f86300,f94745])).
% 58.13/9.49 tff(f94745,plain,(
% 58.13/9.49 spl5880_2909 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2228(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2909])])).
% 58.13/9.49 tff(f94053,plain,(
% 58.13/9.49 spl5880_2790 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2228(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2790])])).
% 58.13/9.49 tff(f94056,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2228(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2790)),
% 58.13/9.49 inference(forward_demodulation,[],[f94054,f86302])).
% 58.13/9.49 tff(f94054,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2228(X0,X1,X2)) ) | ~spl5880_2790),
% 58.13/9.49 inference(avatar_component_clause,[],[f94053])).
% 58.13/9.49 tff(f94743,plain,(
% 58.13/9.49 spl5880_2908 | ~spl5880_1544 | ~spl5880_2789),
% 58.13/9.49 inference(avatar_split_clause,[],[f94051,f94048,f86336,f94741])).
% 58.13/9.49 tff(f94741,plain,(
% 58.13/9.49 spl5880_2908 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2218(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2908])])).
% 58.13/9.49 tff(f94048,plain,(
% 58.13/9.49 spl5880_2789 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2218(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2789])])).
% 58.13/9.49 tff(f94051,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2218(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2789)),
% 58.13/9.49 inference(forward_demodulation,[],[f94049,f86338])).
% 58.13/9.49 tff(f94049,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2218(X0,X1,X2)) ) | ~spl5880_2789),
% 58.13/9.49 inference(avatar_component_clause,[],[f94048])).
% 58.13/9.49 tff(f94739,plain,(
% 58.13/9.49 spl5880_2907 | ~spl5880_1536 | ~spl5880_2788),
% 58.13/9.49 inference(avatar_split_clause,[],[f94046,f94043,f86300,f94737])).
% 58.13/9.49 tff(f94737,plain,(
% 58.13/9.49 spl5880_2907 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2218(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2907])])).
% 58.13/9.49 tff(f94043,plain,(
% 58.13/9.49 spl5880_2788 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2218(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2788])])).
% 58.13/9.49 tff(f94046,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2218(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2788)),
% 58.13/9.49 inference(forward_demodulation,[],[f94044,f86302])).
% 58.13/9.49 tff(f94044,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2218(X0,X1,X2)) ) | ~spl5880_2788),
% 58.13/9.49 inference(avatar_component_clause,[],[f94043])).
% 58.13/9.49 tff(f94735,plain,(
% 58.13/9.49 spl5880_2906 | ~spl5880_1536 | ~spl5880_2787),
% 58.13/9.49 inference(avatar_split_clause,[],[f94041,f94038,f86300,f94733])).
% 58.13/9.49 tff(f94733,plain,(
% 58.13/9.49 spl5880_2906 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2219(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2906])])).
% 58.13/9.49 tff(f94038,plain,(
% 58.13/9.49 spl5880_2787 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2219(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2787])])).
% 58.13/9.49 tff(f94041,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2219(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2787)),
% 58.13/9.49 inference(forward_demodulation,[],[f94039,f86302])).
% 58.13/9.49 tff(f94039,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2219(X0,X1,X2)) ) | ~spl5880_2787),
% 58.13/9.49 inference(avatar_component_clause,[],[f94038])).
% 58.13/9.49 tff(f94731,plain,(
% 58.13/9.49 spl5880_2905 | ~spl5880_1536 | ~spl5880_2786),
% 58.13/9.49 inference(avatar_split_clause,[],[f94036,f94033,f86300,f94729])).
% 58.13/9.49 tff(f94729,plain,(
% 58.13/9.49 spl5880_2905 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2219(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2905])])).
% 58.13/9.49 tff(f94033,plain,(
% 58.13/9.49 spl5880_2786 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2219(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2786])])).
% 58.13/9.49 tff(f94036,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2219(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2786)),
% 58.13/9.49 inference(forward_demodulation,[],[f94034,f86302])).
% 58.13/9.49 tff(f94034,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2219(X0,X1,X2)) ) | ~spl5880_2786),
% 58.13/9.49 inference(avatar_component_clause,[],[f94033])).
% 58.13/9.49 tff(f94727,plain,(
% 58.13/9.49 spl5880_2904 | ~spl5880_1536 | ~spl5880_2785),
% 58.13/9.49 inference(avatar_split_clause,[],[f94031,f94028,f86300,f94725])).
% 58.13/9.49 tff(f94725,plain,(
% 58.13/9.49 spl5880_2904 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2220(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2904])])).
% 58.13/9.49 tff(f94028,plain,(
% 58.13/9.49 spl5880_2785 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2220(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2785])])).
% 58.13/9.49 tff(f94031,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2220(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2785)),
% 58.13/9.49 inference(forward_demodulation,[],[f94029,f86302])).
% 58.13/9.49 tff(f94029,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2220(X0,X1,X2)) ) | ~spl5880_2785),
% 58.13/9.49 inference(avatar_component_clause,[],[f94028])).
% 58.13/9.49 tff(f94723,plain,(
% 58.13/9.49 spl5880_2903 | ~spl5880_1544 | ~spl5880_2784),
% 58.13/9.49 inference(avatar_split_clause,[],[f94026,f94023,f86336,f94721])).
% 58.13/9.49 tff(f94721,plain,(
% 58.13/9.49 spl5880_2903 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2205(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2903])])).
% 58.13/9.49 tff(f94023,plain,(
% 58.13/9.49 spl5880_2784 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2205(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2784])])).
% 58.13/9.49 tff(f94026,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2205(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2784)),
% 58.13/9.49 inference(forward_demodulation,[],[f94024,f86338])).
% 58.13/9.49 tff(f94024,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2205(X0,X1,X2)) ) | ~spl5880_2784),
% 58.13/9.49 inference(avatar_component_clause,[],[f94023])).
% 58.13/9.49 tff(f94719,plain,(
% 58.13/9.49 spl5880_2902 | ~spl5880_1536 | ~spl5880_2783),
% 58.13/9.49 inference(avatar_split_clause,[],[f94021,f94018,f86300,f94717])).
% 58.13/9.49 tff(f94717,plain,(
% 58.13/9.49 spl5880_2902 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2205(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2902])])).
% 58.13/9.49 tff(f94018,plain,(
% 58.13/9.49 spl5880_2783 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2205(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2783])])).
% 58.13/9.49 tff(f94021,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2205(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2783)),
% 58.13/9.49 inference(forward_demodulation,[],[f94019,f86302])).
% 58.13/9.49 tff(f94019,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2205(X0,X1,X2)) ) | ~spl5880_2783),
% 58.13/9.49 inference(avatar_component_clause,[],[f94018])).
% 58.13/9.49 tff(f94715,plain,(
% 58.13/9.49 spl5880_2901 | ~spl5880_1536 | ~spl5880_2782),
% 58.13/9.49 inference(avatar_split_clause,[],[f94016,f94013,f86300,f94713])).
% 58.13/9.49 tff(f94713,plain,(
% 58.13/9.49 spl5880_2901 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2206(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2901])])).
% 58.13/9.49 tff(f94013,plain,(
% 58.13/9.49 spl5880_2782 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2206(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2782])])).
% 58.13/9.49 tff(f94016,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2206(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2782)),
% 58.13/9.49 inference(forward_demodulation,[],[f94014,f86302])).
% 58.13/9.49 tff(f94014,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2206(X0,X1,X2)) ) | ~spl5880_2782),
% 58.13/9.49 inference(avatar_component_clause,[],[f94013])).
% 58.13/9.49 tff(f94711,plain,(
% 58.13/9.49 spl5880_2900 | ~spl5880_1536 | ~spl5880_2781),
% 58.13/9.49 inference(avatar_split_clause,[],[f94011,f94008,f86300,f94709])).
% 58.13/9.49 tff(f94709,plain,(
% 58.13/9.49 spl5880_2900 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2208(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2900])])).
% 58.13/9.49 tff(f94008,plain,(
% 58.13/9.49 spl5880_2781 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2208(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2781])])).
% 58.13/9.49 tff(f94011,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2208(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2781)),
% 58.13/9.49 inference(forward_demodulation,[],[f94009,f86302])).
% 58.13/9.49 tff(f94009,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2208(X0,X1,X2)) ) | ~spl5880_2781),
% 58.13/9.49 inference(avatar_component_clause,[],[f94008])).
% 58.13/9.49 tff(f94707,plain,(
% 58.13/9.49 spl5880_2899 | ~spl5880_1536 | ~spl5880_2780),
% 58.13/9.49 inference(avatar_split_clause,[],[f94006,f94003,f86300,f94705])).
% 58.13/9.49 tff(f94705,plain,(
% 58.13/9.49 spl5880_2899 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2209(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2899])])).
% 58.13/9.49 tff(f94003,plain,(
% 58.13/9.49 spl5880_2780 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2209(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2780])])).
% 58.13/9.49 tff(f94006,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2209(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2780)),
% 58.13/9.49 inference(forward_demodulation,[],[f94004,f86302])).
% 58.13/9.49 tff(f94004,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2209(X0,X1,X2)) ) | ~spl5880_2780),
% 58.13/9.49 inference(avatar_component_clause,[],[f94003])).
% 58.13/9.49 tff(f94703,plain,(
% 58.13/9.49 spl5880_2898 | ~spl5880_1536 | ~spl5880_2779),
% 58.13/9.49 inference(avatar_split_clause,[],[f94001,f93998,f86300,f94701])).
% 58.13/9.49 tff(f94701,plain,(
% 58.13/9.49 spl5880_2898 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2210(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2898])])).
% 58.13/9.49 tff(f93998,plain,(
% 58.13/9.49 spl5880_2779 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2210(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2779])])).
% 58.13/9.49 tff(f94001,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2210(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2779)),
% 58.13/9.49 inference(forward_demodulation,[],[f93999,f86302])).
% 58.13/9.49 tff(f93999,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2210(X0,X1,X2)) ) | ~spl5880_2779),
% 58.13/9.49 inference(avatar_component_clause,[],[f93998])).
% 58.13/9.49 tff(f94699,plain,(
% 58.13/9.49 spl5880_2897 | ~spl5880_1544 | ~spl5880_2778),
% 58.13/9.49 inference(avatar_split_clause,[],[f93996,f93993,f86336,f94697])).
% 58.13/9.49 tff(f94697,plain,(
% 58.13/9.49 spl5880_2897 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2199(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2897])])).
% 58.13/9.49 tff(f93993,plain,(
% 58.13/9.49 spl5880_2778 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2199(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2778])])).
% 58.13/9.49 tff(f93996,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2199(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2778)),
% 58.13/9.49 inference(forward_demodulation,[],[f93994,f86338])).
% 58.13/9.49 tff(f93994,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2199(X0,X1,X2)) ) | ~spl5880_2778),
% 58.13/9.49 inference(avatar_component_clause,[],[f93993])).
% 58.13/9.49 tff(f94695,plain,(
% 58.13/9.49 spl5880_2896 | ~spl5880_1536 | ~spl5880_2777),
% 58.13/9.49 inference(avatar_split_clause,[],[f93991,f93988,f86300,f94693])).
% 58.13/9.49 tff(f94693,plain,(
% 58.13/9.49 spl5880_2896 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2199(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2896])])).
% 58.13/9.49 tff(f93988,plain,(
% 58.13/9.49 spl5880_2777 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2199(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2777])])).
% 58.13/9.49 tff(f93991,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2199(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2777)),
% 58.13/9.49 inference(forward_demodulation,[],[f93989,f86302])).
% 58.13/9.49 tff(f93989,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2199(X0,X1,X2)) ) | ~spl5880_2777),
% 58.13/9.49 inference(avatar_component_clause,[],[f93988])).
% 58.13/9.49 tff(f94691,plain,(
% 58.13/9.49 spl5880_2895 | ~spl5880_1536 | ~spl5880_2776),
% 58.13/9.49 inference(avatar_split_clause,[],[f93986,f93983,f86300,f94689])).
% 58.13/9.49 tff(f94689,plain,(
% 58.13/9.49 spl5880_2895 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2200(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2895])])).
% 58.13/9.49 tff(f93983,plain,(
% 58.13/9.49 spl5880_2776 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2200(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2776])])).
% 58.13/9.49 tff(f93986,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2200(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2776)),
% 58.13/9.49 inference(forward_demodulation,[],[f93984,f86302])).
% 58.13/9.49 tff(f93984,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2200(X0,X1,X2)) ) | ~spl5880_2776),
% 58.13/9.49 inference(avatar_component_clause,[],[f93983])).
% 58.13/9.49 tff(f94687,plain,(
% 58.13/9.49 spl5880_2894 | ~spl5880_1536 | ~spl5880_2775),
% 58.13/9.49 inference(avatar_split_clause,[],[f93981,f93978,f86300,f94685])).
% 58.13/9.49 tff(f94685,plain,(
% 58.13/9.49 spl5880_2894 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2200(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2894])])).
% 58.13/9.49 tff(f93978,plain,(
% 58.13/9.49 spl5880_2775 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2200(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2775])])).
% 58.13/9.49 tff(f93981,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2200(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2775)),
% 58.13/9.49 inference(forward_demodulation,[],[f93979,f86302])).
% 58.13/9.49 tff(f93979,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2200(X0,X1,X2)) ) | ~spl5880_2775),
% 58.13/9.49 inference(avatar_component_clause,[],[f93978])).
% 58.13/9.49 tff(f94683,plain,(
% 58.13/9.49 spl5880_2893 | ~spl5880_1536 | ~spl5880_2774),
% 58.13/9.49 inference(avatar_split_clause,[],[f93976,f93973,f86300,f94681])).
% 58.13/9.49 tff(f94681,plain,(
% 58.13/9.49 spl5880_2893 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2201(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2893])])).
% 58.13/9.49 tff(f93973,plain,(
% 58.13/9.49 spl5880_2774 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2201(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2774])])).
% 58.13/9.49 tff(f93976,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2201(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2774)),
% 58.13/9.49 inference(forward_demodulation,[],[f93974,f86302])).
% 58.13/9.49 tff(f93974,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2201(X0,X1,X2)) ) | ~spl5880_2774),
% 58.13/9.49 inference(avatar_component_clause,[],[f93973])).
% 58.13/9.49 tff(f94679,plain,(
% 58.13/9.49 spl5880_2892 | ~spl5880_1536 | ~spl5880_2773),
% 58.13/9.49 inference(avatar_split_clause,[],[f93971,f93968,f86300,f94677])).
% 58.13/9.49 tff(f94677,plain,(
% 58.13/9.49 spl5880_2892 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2202(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2892])])).
% 58.13/9.49 tff(f93968,plain,(
% 58.13/9.49 spl5880_2773 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2202(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2773])])).
% 58.13/9.49 tff(f93971,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2202(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2773)),
% 58.13/9.49 inference(forward_demodulation,[],[f93969,f86302])).
% 58.13/9.49 tff(f93969,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2202(X0,X1,X2)) ) | ~spl5880_2773),
% 58.13/9.49 inference(avatar_component_clause,[],[f93968])).
% 58.13/9.49 tff(f94675,plain,(
% 58.13/9.49 spl5880_2891 | ~spl5880_1536 | ~spl5880_2772),
% 58.13/9.49 inference(avatar_split_clause,[],[f93966,f93963,f86300,f94673])).
% 58.13/9.49 tff(f94673,plain,(
% 58.13/9.49 spl5880_2891 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2203(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2891])])).
% 58.13/9.49 tff(f93963,plain,(
% 58.13/9.49 spl5880_2772 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2203(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2772])])).
% 58.13/9.49 tff(f93966,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2203(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2772)),
% 58.13/9.49 inference(forward_demodulation,[],[f93964,f86302])).
% 58.13/9.49 tff(f93964,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2203(X0,X1,X2)) ) | ~spl5880_2772),
% 58.13/9.49 inference(avatar_component_clause,[],[f93963])).
% 58.13/9.49 tff(f94671,plain,(
% 58.13/9.49 spl5880_2890 | ~spl5880_1536 | ~spl5880_2771),
% 58.13/9.49 inference(avatar_split_clause,[],[f93961,f93958,f86300,f94669])).
% 58.13/9.49 tff(f94669,plain,(
% 58.13/9.49 spl5880_2890 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2204(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2890])])).
% 58.13/9.49 tff(f93958,plain,(
% 58.13/9.49 spl5880_2771 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2204(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2771])])).
% 58.13/9.49 tff(f93961,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2204(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2771)),
% 58.13/9.49 inference(forward_demodulation,[],[f93959,f86302])).
% 58.13/9.49 tff(f93959,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2204(X0,X1,X2)) ) | ~spl5880_2771),
% 58.13/9.49 inference(avatar_component_clause,[],[f93958])).
% 58.13/9.49 tff(f94667,plain,(
% 58.13/9.49 spl5880_2889 | ~spl5880_1536 | ~spl5880_2770),
% 58.13/9.49 inference(avatar_split_clause,[],[f93956,f93953,f86300,f94665])).
% 58.13/9.49 tff(f94665,plain,(
% 58.13/9.49 spl5880_2889 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2196(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2889])])).
% 58.13/9.49 tff(f93953,plain,(
% 58.13/9.49 spl5880_2770 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2196(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2770])])).
% 58.13/9.49 tff(f93956,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2196(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2770)),
% 58.13/9.49 inference(forward_demodulation,[],[f93954,f86302])).
% 58.13/9.49 tff(f93954,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2196(X0,X1,X2)) ) | ~spl5880_2770),
% 58.13/9.49 inference(avatar_component_clause,[],[f93953])).
% 58.13/9.49 tff(f94663,plain,(
% 58.13/9.49 spl5880_2888 | ~spl5880_1536 | ~spl5880_2769),
% 58.13/9.49 inference(avatar_split_clause,[],[f93951,f93948,f86300,f94661])).
% 58.13/9.49 tff(f94661,plain,(
% 58.13/9.49 spl5880_2888 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2197(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2888])])).
% 58.13/9.49 tff(f93948,plain,(
% 58.13/9.49 spl5880_2769 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2197(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2769])])).
% 58.13/9.49 tff(f93951,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2197(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2769)),
% 58.13/9.49 inference(forward_demodulation,[],[f93949,f86302])).
% 58.13/9.49 tff(f93949,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2197(X0,X1,X2)) ) | ~spl5880_2769),
% 58.13/9.49 inference(avatar_component_clause,[],[f93948])).
% 58.13/9.49 tff(f94659,plain,(
% 58.13/9.49 spl5880_2887 | ~spl5880_1544 | ~spl5880_2768),
% 58.13/9.49 inference(avatar_split_clause,[],[f93946,f93943,f86336,f94657])).
% 58.13/9.49 tff(f94657,plain,(
% 58.13/9.49 spl5880_2887 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2190(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2887])])).
% 58.13/9.49 tff(f93943,plain,(
% 58.13/9.49 spl5880_2768 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2190(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2768])])).
% 58.13/9.49 tff(f93946,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2190(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2768)),
% 58.13/9.49 inference(forward_demodulation,[],[f93944,f86338])).
% 58.13/9.49 tff(f93944,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2190(X0,X1,X2)) ) | ~spl5880_2768),
% 58.13/9.49 inference(avatar_component_clause,[],[f93943])).
% 58.13/9.49 tff(f94655,plain,(
% 58.13/9.49 spl5880_2886 | ~spl5880_1536 | ~spl5880_2767),
% 58.13/9.49 inference(avatar_split_clause,[],[f93941,f93938,f86300,f94653])).
% 58.13/9.49 tff(f94653,plain,(
% 58.13/9.49 spl5880_2886 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2190(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2886])])).
% 58.13/9.49 tff(f93938,plain,(
% 58.13/9.49 spl5880_2767 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2190(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2767])])).
% 58.13/9.49 tff(f93941,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2190(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2767)),
% 58.13/9.49 inference(forward_demodulation,[],[f93939,f86302])).
% 58.13/9.49 tff(f93939,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2190(X0,X1,X2)) ) | ~spl5880_2767),
% 58.13/9.49 inference(avatar_component_clause,[],[f93938])).
% 58.13/9.49 tff(f94651,plain,(
% 58.13/9.49 spl5880_2885 | ~spl5880_1536 | ~spl5880_2766),
% 58.13/9.49 inference(avatar_split_clause,[],[f93936,f93933,f86300,f94649])).
% 58.13/9.49 tff(f94649,plain,(
% 58.13/9.49 spl5880_2885 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2191(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2885])])).
% 58.13/9.49 tff(f93933,plain,(
% 58.13/9.49 spl5880_2766 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2191(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2766])])).
% 58.13/9.49 tff(f93936,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2191(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2766)),
% 58.13/9.49 inference(forward_demodulation,[],[f93934,f86302])).
% 58.13/9.49 tff(f93934,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2191(X0,X1,X2)) ) | ~spl5880_2766),
% 58.13/9.49 inference(avatar_component_clause,[],[f93933])).
% 58.13/9.49 tff(f94647,plain,(
% 58.13/9.49 spl5880_2884 | ~spl5880_1544 | ~spl5880_2765),
% 58.13/9.49 inference(avatar_split_clause,[],[f93931,f93928,f86336,f94645])).
% 58.13/9.49 tff(f94645,plain,(
% 58.13/9.49 spl5880_2884 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2185(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2884])])).
% 58.13/9.49 tff(f93928,plain,(
% 58.13/9.49 spl5880_2765 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2185(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2765])])).
% 58.13/9.49 tff(f93931,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2185(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2765)),
% 58.13/9.49 inference(forward_demodulation,[],[f93929,f86338])).
% 58.13/9.49 tff(f93929,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2185(X0,X1,X2)) ) | ~spl5880_2765),
% 58.13/9.49 inference(avatar_component_clause,[],[f93928])).
% 58.13/9.49 tff(f94643,plain,(
% 58.13/9.49 spl5880_2883 | ~spl5880_1536 | ~spl5880_2764),
% 58.13/9.49 inference(avatar_split_clause,[],[f93926,f93923,f86300,f94641])).
% 58.13/9.49 tff(f94641,plain,(
% 58.13/9.49 spl5880_2883 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2185(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2883])])).
% 58.13/9.49 tff(f93923,plain,(
% 58.13/9.49 spl5880_2764 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2185(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2764])])).
% 58.13/9.49 tff(f93926,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2185(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2764)),
% 58.13/9.49 inference(forward_demodulation,[],[f93924,f86302])).
% 58.13/9.49 tff(f93924,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2185(X0,X1,X2)) ) | ~spl5880_2764),
% 58.13/9.49 inference(avatar_component_clause,[],[f93923])).
% 58.13/9.49 tff(f94639,plain,(
% 58.13/9.49 spl5880_2882 | ~spl5880_1536 | ~spl5880_2763),
% 58.13/9.49 inference(avatar_split_clause,[],[f93921,f93918,f86300,f94637])).
% 58.13/9.49 tff(f94637,plain,(
% 58.13/9.49 spl5880_2882 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2186(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2882])])).
% 58.13/9.49 tff(f93918,plain,(
% 58.13/9.49 spl5880_2763 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2186(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2763])])).
% 58.13/9.49 tff(f93921,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2186(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2763)),
% 58.13/9.49 inference(forward_demodulation,[],[f93919,f86302])).
% 58.13/9.49 tff(f93919,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2186(X0,X1,X2)) ) | ~spl5880_2763),
% 58.13/9.49 inference(avatar_component_clause,[],[f93918])).
% 58.13/9.49 tff(f94635,plain,(
% 58.13/9.49 spl5880_2881 | ~spl5880_1536 | ~spl5880_2762),
% 58.13/9.49 inference(avatar_split_clause,[],[f93916,f93913,f86300,f94633])).
% 58.13/9.49 tff(f94633,plain,(
% 58.13/9.49 spl5880_2881 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2186(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2881])])).
% 58.13/9.49 tff(f93913,plain,(
% 58.13/9.49 spl5880_2762 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2186(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2762])])).
% 58.13/9.49 tff(f93916,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2186(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2762)),
% 58.13/9.49 inference(forward_demodulation,[],[f93914,f86302])).
% 58.13/9.49 tff(f93914,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2186(X0,X1,X2)) ) | ~spl5880_2762),
% 58.13/9.49 inference(avatar_component_clause,[],[f93913])).
% 58.13/9.49 tff(f94631,plain,(
% 58.13/9.49 spl5880_2880 | ~spl5880_1536 | ~spl5880_2761),
% 58.13/9.49 inference(avatar_split_clause,[],[f93911,f93908,f86300,f94629])).
% 58.13/9.49 tff(f94629,plain,(
% 58.13/9.49 spl5880_2880 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2187(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2880])])).
% 58.13/9.49 tff(f93908,plain,(
% 58.13/9.49 spl5880_2761 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2187(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2761])])).
% 58.13/9.49 tff(f93911,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2187(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2761)),
% 58.13/9.49 inference(forward_demodulation,[],[f93909,f86302])).
% 58.13/9.49 tff(f93909,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2187(X0,X1,X2)) ) | ~spl5880_2761),
% 58.13/9.49 inference(avatar_component_clause,[],[f93908])).
% 58.13/9.49 tff(f94627,plain,(
% 58.13/9.49 spl5880_2879 | ~spl5880_1544 | ~spl5880_2760),
% 58.13/9.49 inference(avatar_split_clause,[],[f93906,f93903,f86336,f94625])).
% 58.13/9.49 tff(f94625,plain,(
% 58.13/9.49 spl5880_2879 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2177(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2879])])).
% 58.13/9.49 tff(f93903,plain,(
% 58.13/9.49 spl5880_2760 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2177(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2760])])).
% 58.13/9.49 tff(f93906,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2177(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2760)),
% 58.13/9.49 inference(forward_demodulation,[],[f93904,f86338])).
% 58.13/9.49 tff(f93904,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2177(X0,X1,X2)) ) | ~spl5880_2760),
% 58.13/9.49 inference(avatar_component_clause,[],[f93903])).
% 58.13/9.49 tff(f94623,plain,(
% 58.13/9.49 spl5880_2878 | ~spl5880_1536 | ~spl5880_2759),
% 58.13/9.49 inference(avatar_split_clause,[],[f93901,f93898,f86300,f94621])).
% 58.13/9.49 tff(f94621,plain,(
% 58.13/9.49 spl5880_2878 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2178(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2878])])).
% 58.13/9.49 tff(f93898,plain,(
% 58.13/9.49 spl5880_2759 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2178(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2759])])).
% 58.13/9.49 tff(f93901,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2178(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2759)),
% 58.13/9.49 inference(forward_demodulation,[],[f93899,f86302])).
% 58.13/9.49 tff(f93899,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2178(X0,X1,X2)) ) | ~spl5880_2759),
% 58.13/9.49 inference(avatar_component_clause,[],[f93898])).
% 58.13/9.49 tff(f94619,plain,(
% 58.13/9.49 spl5880_2877 | ~spl5880_1536 | ~spl5880_2758),
% 58.13/9.49 inference(avatar_split_clause,[],[f93896,f93893,f86300,f94617])).
% 58.13/9.49 tff(f94617,plain,(
% 58.13/9.49 spl5880_2877 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2179(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2877])])).
% 58.13/9.49 tff(f93893,plain,(
% 58.13/9.49 spl5880_2758 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2179(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2758])])).
% 58.13/9.49 tff(f93896,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2179(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2758)),
% 58.13/9.49 inference(forward_demodulation,[],[f93894,f86302])).
% 58.13/9.49 tff(f93894,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2179(X0,X1,X2)) ) | ~spl5880_2758),
% 58.13/9.49 inference(avatar_component_clause,[],[f93893])).
% 58.13/9.49 tff(f94615,plain,(
% 58.13/9.49 spl5880_2876 | ~spl5880_1536 | ~spl5880_2757),
% 58.13/9.49 inference(avatar_split_clause,[],[f93891,f93888,f86300,f94613])).
% 58.13/9.49 tff(f94613,plain,(
% 58.13/9.49 spl5880_2876 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2180(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2876])])).
% 58.13/9.49 tff(f93888,plain,(
% 58.13/9.49 spl5880_2757 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2180(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2757])])).
% 58.13/9.49 tff(f93891,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2180(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2757)),
% 58.13/9.49 inference(forward_demodulation,[],[f93889,f86302])).
% 58.13/9.49 tff(f93889,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2180(X0,X1,X2)) ) | ~spl5880_2757),
% 58.13/9.49 inference(avatar_component_clause,[],[f93888])).
% 58.13/9.49 tff(f94611,plain,(
% 58.13/9.49 spl5880_2875 | ~spl5880_1536 | ~spl5880_2756),
% 58.13/9.49 inference(avatar_split_clause,[],[f93886,f93883,f86300,f94609])).
% 58.13/9.49 tff(f94609,plain,(
% 58.13/9.49 spl5880_2875 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2181(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2875])])).
% 58.13/9.49 tff(f93883,plain,(
% 58.13/9.49 spl5880_2756 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2181(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2756])])).
% 58.13/9.49 tff(f93886,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2181(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2756)),
% 58.13/9.49 inference(forward_demodulation,[],[f93884,f86302])).
% 58.13/9.49 tff(f93884,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2181(X0,X1,X2)) ) | ~spl5880_2756),
% 58.13/9.49 inference(avatar_component_clause,[],[f93883])).
% 58.13/9.49 tff(f94607,plain,(
% 58.13/9.49 spl5880_2874 | ~spl5880_1544 | ~spl5880_2755),
% 58.13/9.49 inference(avatar_split_clause,[],[f93881,f93878,f86336,f94605])).
% 58.13/9.49 tff(f94605,plain,(
% 58.13/9.49 spl5880_2874 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2172(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2874])])).
% 58.13/9.49 tff(f93878,plain,(
% 58.13/9.49 spl5880_2755 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2172(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2755])])).
% 58.13/9.49 tff(f93881,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2172(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2755)),
% 58.13/9.49 inference(forward_demodulation,[],[f93879,f86338])).
% 58.13/9.49 tff(f93879,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2172(X0,X1,X2)) ) | ~spl5880_2755),
% 58.13/9.49 inference(avatar_component_clause,[],[f93878])).
% 58.13/9.49 tff(f94603,plain,(
% 58.13/9.49 spl5880_2873 | ~spl5880_1536 | ~spl5880_2754),
% 58.13/9.49 inference(avatar_split_clause,[],[f93876,f93873,f86300,f94601])).
% 58.13/9.49 tff(f94601,plain,(
% 58.13/9.49 spl5880_2873 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2172(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2873])])).
% 58.13/9.49 tff(f93873,plain,(
% 58.13/9.49 spl5880_2754 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2172(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2754])])).
% 58.13/9.49 tff(f93876,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2172(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2754)),
% 58.13/9.49 inference(forward_demodulation,[],[f93874,f86302])).
% 58.13/9.49 tff(f93874,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2172(X0,X1,X2)) ) | ~spl5880_2754),
% 58.13/9.49 inference(avatar_component_clause,[],[f93873])).
% 58.13/9.49 tff(f94599,plain,(
% 58.13/9.49 spl5880_2872 | ~spl5880_1536 | ~spl5880_2753),
% 58.13/9.49 inference(avatar_split_clause,[],[f93871,f93868,f86300,f94597])).
% 58.13/9.49 tff(f94597,plain,(
% 58.13/9.49 spl5880_2872 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2173(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2872])])).
% 58.13/9.49 tff(f93868,plain,(
% 58.13/9.49 spl5880_2753 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2173(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2753])])).
% 58.13/9.49 tff(f93871,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2173(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2753)),
% 58.13/9.49 inference(forward_demodulation,[],[f93869,f86302])).
% 58.13/9.49 tff(f93869,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2173(X0,X1,X2)) ) | ~spl5880_2753),
% 58.13/9.49 inference(avatar_component_clause,[],[f93868])).
% 58.13/9.49 tff(f94595,plain,(
% 58.13/9.49 spl5880_2871 | ~spl5880_1536 | ~spl5880_2752),
% 58.13/9.49 inference(avatar_split_clause,[],[f93866,f93863,f86300,f94593])).
% 58.13/9.49 tff(f94593,plain,(
% 58.13/9.49 spl5880_2871 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2174(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2871])])).
% 58.13/9.49 tff(f93863,plain,(
% 58.13/9.49 spl5880_2752 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2174(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2752])])).
% 58.13/9.49 tff(f93866,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2174(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2752)),
% 58.13/9.49 inference(forward_demodulation,[],[f93864,f86302])).
% 58.13/9.49 tff(f93864,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2174(X0,X1,X2)) ) | ~spl5880_2752),
% 58.13/9.49 inference(avatar_component_clause,[],[f93863])).
% 58.13/9.49 tff(f94591,plain,(
% 58.13/9.49 spl5880_2870 | ~spl5880_1536 | ~spl5880_2751),
% 58.13/9.49 inference(avatar_split_clause,[],[f93861,f93858,f86300,f94589])).
% 58.13/9.49 tff(f94589,plain,(
% 58.13/9.49 spl5880_2870 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2175(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2870])])).
% 58.13/9.49 tff(f93858,plain,(
% 58.13/9.49 spl5880_2751 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2175(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2751])])).
% 58.13/9.49 tff(f93861,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2175(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2751)),
% 58.13/9.49 inference(forward_demodulation,[],[f93859,f86302])).
% 58.13/9.49 tff(f93859,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2175(X0,X1,X2)) ) | ~spl5880_2751),
% 58.13/9.49 inference(avatar_component_clause,[],[f93858])).
% 58.13/9.49 tff(f94587,plain,(
% 58.13/9.49 spl5880_2869 | ~spl5880_1536 | ~spl5880_2750),
% 58.13/9.49 inference(avatar_split_clause,[],[f93856,f93853,f86300,f94585])).
% 58.13/9.49 tff(f94585,plain,(
% 58.13/9.49 spl5880_2869 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2176(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2869])])).
% 58.13/9.49 tff(f93853,plain,(
% 58.13/9.49 spl5880_2750 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2176(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2750])])).
% 58.13/9.49 tff(f93856,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2176(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2750)),
% 58.13/9.49 inference(forward_demodulation,[],[f93854,f86302])).
% 58.13/9.49 tff(f93854,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2176(X0,X1,X2)) ) | ~spl5880_2750),
% 58.13/9.49 inference(avatar_component_clause,[],[f93853])).
% 58.13/9.49 tff(f94583,plain,(
% 58.13/9.49 spl5880_2868 | ~spl5880_1536 | ~spl5880_2749),
% 58.13/9.49 inference(avatar_split_clause,[],[f93851,f93848,f86300,f94581])).
% 58.13/9.49 tff(f94581,plain,(
% 58.13/9.49 spl5880_2868 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2168(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2868])])).
% 58.13/9.49 tff(f93848,plain,(
% 58.13/9.49 spl5880_2749 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2168(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2749])])).
% 58.13/9.49 tff(f93851,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2168(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2749)),
% 58.13/9.49 inference(forward_demodulation,[],[f93849,f86302])).
% 58.13/9.49 tff(f93849,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2168(X0,X1,X2)) ) | ~spl5880_2749),
% 58.13/9.49 inference(avatar_component_clause,[],[f93848])).
% 58.13/9.49 tff(f94579,plain,(
% 58.13/9.49 spl5880_2867 | ~spl5880_1536 | ~spl5880_2748),
% 58.13/9.49 inference(avatar_split_clause,[],[f93846,f93843,f86300,f94577])).
% 58.13/9.49 tff(f94577,plain,(
% 58.13/9.49 spl5880_2867 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2169(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2867])])).
% 58.13/9.49 tff(f93843,plain,(
% 58.13/9.49 spl5880_2748 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2169(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2748])])).
% 58.13/9.49 tff(f93846,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2169(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2748)),
% 58.13/9.49 inference(forward_demodulation,[],[f93844,f86302])).
% 58.13/9.49 tff(f93844,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2169(X0,X1,X2)) ) | ~spl5880_2748),
% 58.13/9.49 inference(avatar_component_clause,[],[f93843])).
% 58.13/9.49 tff(f94575,plain,(
% 58.13/9.49 spl5880_2866 | ~spl5880_1536 | ~spl5880_2747),
% 58.13/9.49 inference(avatar_split_clause,[],[f93841,f93838,f86300,f94573])).
% 58.13/9.49 tff(f94573,plain,(
% 58.13/9.49 spl5880_2866 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2170(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2866])])).
% 58.13/9.49 tff(f93838,plain,(
% 58.13/9.49 spl5880_2747 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2170(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2747])])).
% 58.13/9.49 tff(f93841,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2170(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2747)),
% 58.13/9.49 inference(forward_demodulation,[],[f93839,f86302])).
% 58.13/9.49 tff(f93839,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2170(X0,X1,X2)) ) | ~spl5880_2747),
% 58.13/9.49 inference(avatar_component_clause,[],[f93838])).
% 58.13/9.49 tff(f94571,plain,(
% 58.13/9.49 spl5880_2865 | ~spl5880_1536 | ~spl5880_2746),
% 58.13/9.49 inference(avatar_split_clause,[],[f93836,f93833,f86300,f94569])).
% 58.13/9.49 tff(f94569,plain,(
% 58.13/9.49 spl5880_2865 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2171(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2865])])).
% 58.13/9.49 tff(f93833,plain,(
% 58.13/9.49 spl5880_2746 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2171(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2746])])).
% 58.13/9.49 tff(f93836,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2171(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2746)),
% 58.13/9.49 inference(forward_demodulation,[],[f93834,f86302])).
% 58.13/9.49 tff(f93834,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2171(X0,X1,X2)) ) | ~spl5880_2746),
% 58.13/9.49 inference(avatar_component_clause,[],[f93833])).
% 58.13/9.49 tff(f94567,plain,(
% 58.13/9.49 spl5880_2864 | ~spl5880_1544 | ~spl5880_2745),
% 58.13/9.49 inference(avatar_split_clause,[],[f93831,f93828,f86336,f94565])).
% 58.13/9.49 tff(f94565,plain,(
% 58.13/9.49 spl5880_2864 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2164(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2864])])).
% 58.13/9.49 tff(f93828,plain,(
% 58.13/9.49 spl5880_2745 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2164(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2745])])).
% 58.13/9.49 tff(f93831,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2164(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2745)),
% 58.13/9.49 inference(forward_demodulation,[],[f93829,f86338])).
% 58.13/9.49 tff(f93829,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2164(X0,X1,X2)) ) | ~spl5880_2745),
% 58.13/9.49 inference(avatar_component_clause,[],[f93828])).
% 58.13/9.49 tff(f94563,plain,(
% 58.13/9.49 spl5880_2863 | ~spl5880_1536 | ~spl5880_2744),
% 58.13/9.49 inference(avatar_split_clause,[],[f93826,f93823,f86300,f94561])).
% 58.13/9.49 tff(f94561,plain,(
% 58.13/9.49 spl5880_2863 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2165(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2863])])).
% 58.13/9.49 tff(f93823,plain,(
% 58.13/9.49 spl5880_2744 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2165(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2744])])).
% 58.13/9.49 tff(f93826,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2165(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2744)),
% 58.13/9.49 inference(forward_demodulation,[],[f93824,f86302])).
% 58.13/9.49 tff(f93824,plain,(
% 58.13/9.49 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2165(X0,X1,X2)) ) | ~spl5880_2744),
% 58.13/9.49 inference(avatar_component_clause,[],[f93823])).
% 58.13/9.49 tff(f94559,plain,(
% 58.13/9.49 spl5880_2862 | ~spl5880_1544 | ~spl5880_2743),
% 58.13/9.49 inference(avatar_split_clause,[],[f93821,f93818,f86336,f94557])).
% 58.13/9.49 tff(f94557,plain,(
% 58.13/9.49 spl5880_2862 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2160(X0,X1,X2))),
% 58.13/9.49 introduced(avatar_definition,[new_symbols(naming,[spl5880_2862])])).
% 58.13/9.49 tff(f93818,plain,(
% 58.13/9.49 spl5880_2743 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2160(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2743])])).
% 58.13/9.50 tff(f93821,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG717($true) = X1 | ~sP2160(X0,X1,X2)) ) | (~spl5880_1544 | ~spl5880_2743)),
% 58.13/9.50 inference(forward_demodulation,[],[f93819,f86338])).
% 58.13/9.50 tff(f93819,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2160(X0,X1,X2)) ) | ~spl5880_2743),
% 58.13/9.50 inference(avatar_component_clause,[],[f93818])).
% 58.13/9.50 tff(f94555,plain,(
% 58.13/9.50 spl5880_2861 | ~spl5880_1536 | ~spl5880_2742),
% 58.13/9.50 inference(avatar_split_clause,[],[f93816,f93813,f86300,f94553])).
% 58.13/9.50 tff(f94553,plain,(
% 58.13/9.50 spl5880_2861 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2160(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2861])])).
% 58.13/9.50 tff(f93813,plain,(
% 58.13/9.50 spl5880_2742 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2160(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2742])])).
% 58.13/9.50 tff(f93816,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2160(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2742)),
% 58.13/9.50 inference(forward_demodulation,[],[f93814,f86302])).
% 58.13/9.50 tff(f93814,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2160(X0,X1,X2)) ) | ~spl5880_2742),
% 58.13/9.50 inference(avatar_component_clause,[],[f93813])).
% 58.13/9.50 tff(f94551,plain,(
% 58.13/9.50 spl5880_2860 | ~spl5880_1536 | ~spl5880_2741),
% 58.13/9.50 inference(avatar_split_clause,[],[f93811,f93808,f86300,f94549])).
% 58.13/9.50 tff(f94549,plain,(
% 58.13/9.50 spl5880_2860 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2161(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2860])])).
% 58.13/9.50 tff(f93808,plain,(
% 58.13/9.50 spl5880_2741 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2161(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2741])])).
% 58.13/9.50 tff(f93811,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X0 | ~sP2161(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2741)),
% 58.13/9.50 inference(forward_demodulation,[],[f93809,f86302])).
% 58.13/9.50 tff(f93809,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2161(X0,X1,X2)) ) | ~spl5880_2741),
% 58.13/9.50 inference(avatar_component_clause,[],[f93808])).
% 58.13/9.50 tff(f94547,plain,(
% 58.13/9.50 spl5880_2859 | ~spl5880_1536 | ~spl5880_2740),
% 58.13/9.50 inference(avatar_split_clause,[],[f93806,f93803,f86300,f94545])).
% 58.13/9.50 tff(f94545,plain,(
% 58.13/9.50 spl5880_2859 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2146(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2859])])).
% 58.13/9.50 tff(f93803,plain,(
% 58.13/9.50 spl5880_2740 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2146(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2740])])).
% 58.13/9.50 tff(f93806,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2146(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2740)),
% 58.13/9.50 inference(forward_demodulation,[],[f93804,f86302])).
% 58.13/9.50 tff(f93804,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2146(X0,X1,X2)) ) | ~spl5880_2740),
% 58.13/9.50 inference(avatar_component_clause,[],[f93803])).
% 58.13/9.50 tff(f94543,plain,(
% 58.13/9.50 spl5880_2858 | ~spl5880_1536 | ~spl5880_2739),
% 58.13/9.50 inference(avatar_split_clause,[],[f93801,f93798,f86300,f94541])).
% 58.13/9.50 tff(f94541,plain,(
% 58.13/9.50 spl5880_2858 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2147(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2858])])).
% 58.13/9.50 tff(f93798,plain,(
% 58.13/9.50 spl5880_2739 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2147(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2739])])).
% 58.13/9.50 tff(f93801,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2147(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2739)),
% 58.13/9.50 inference(forward_demodulation,[],[f93799,f86302])).
% 58.13/9.50 tff(f93799,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2147(X0,X1,X2)) ) | ~spl5880_2739),
% 58.13/9.50 inference(avatar_component_clause,[],[f93798])).
% 58.13/9.50 tff(f94539,plain,(
% 58.13/9.50 spl5880_2857 | ~spl5880_1536 | ~spl5880_2738),
% 58.13/9.50 inference(avatar_split_clause,[],[f93796,f93793,f86300,f94537])).
% 58.13/9.50 tff(f94537,plain,(
% 58.13/9.50 spl5880_2857 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2148(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2857])])).
% 58.13/9.50 tff(f93793,plain,(
% 58.13/9.50 spl5880_2738 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2148(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2738])])).
% 58.13/9.50 tff(f93796,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2148(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2738)),
% 58.13/9.50 inference(forward_demodulation,[],[f93794,f86302])).
% 58.13/9.50 tff(f93794,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2148(X0,X1,X2)) ) | ~spl5880_2738),
% 58.13/9.50 inference(avatar_component_clause,[],[f93793])).
% 58.13/9.50 tff(f94535,plain,(
% 58.13/9.50 spl5880_2856 | ~spl5880_1536 | ~spl5880_2737),
% 58.13/9.50 inference(avatar_split_clause,[],[f93791,f93788,f86300,f94533])).
% 58.13/9.50 tff(f94533,plain,(
% 58.13/9.50 spl5880_2856 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2149(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2856])])).
% 58.13/9.50 tff(f93788,plain,(
% 58.13/9.50 spl5880_2737 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2149(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2737])])).
% 58.13/9.50 tff(f93791,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG714($true) = X1 | ~sP2149(X0,X1,X2)) ) | (~spl5880_1536 | ~spl5880_2737)),
% 58.13/9.50 inference(forward_demodulation,[],[f93789,f86302])).
% 58.13/9.50 tff(f93789,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2149(X0,X1,X2)) ) | ~spl5880_2737),
% 58.13/9.50 inference(avatar_component_clause,[],[f93788])).
% 58.13/9.50 tff(f94531,plain,(
% 58.13/9.50 spl5880_2855 | ~spl5880_2573 | ~spl5880_2736),
% 58.13/9.50 inference(avatar_split_clause,[],[f93786,f93783,f93028,f94529])).
% 58.13/9.50 tff(f93783,plain,(
% 58.13/9.50 spl5880_2736 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1826(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2736])])).
% 58.13/9.50 tff(f93786,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1811(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) ) | (~spl5880_2573 | ~spl5880_2736)),
% 58.13/9.50 inference(forward_demodulation,[],[f93784,f93029])).
% 58.13/9.50 tff(f93784,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1826(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl5880_2736),
% 58.13/9.50 inference(avatar_component_clause,[],[f93783])).
% 58.13/9.50 tff(f94527,plain,(
% 58.13/9.50 spl5880_2854 | ~spl5880_1544 | ~spl5880_2735),
% 58.13/9.50 inference(avatar_split_clause,[],[f93781,f93778,f86336,f94525])).
% 58.13/9.50 tff(f94525,plain,(
% 58.13/9.50 spl5880_2854 <=> ! [X0 : nat] : nil(nat) = iG638(iG717($true),X0)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2854])])).
% 58.13/9.50 tff(f93778,plain,(
% 58.13/9.50 spl5880_2735 <=> ! [X0 : nat] : nil(nat) = iG638(iG894($true),X0)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2735])])).
% 58.13/9.50 tff(f93781,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (nil(nat) = iG638(iG717($true),X0)) ) | (~spl5880_1544 | ~spl5880_2735)),
% 58.13/9.50 inference(forward_demodulation,[],[f93779,f86338])).
% 58.13/9.50 tff(f93779,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (nil(nat) = iG638(iG894($true),X0)) ) | ~spl5880_2735),
% 58.13/9.50 inference(avatar_component_clause,[],[f93778])).
% 58.13/9.50 tff(f94523,plain,(
% 58.13/9.50 spl5880_2853 | ~spl5880_1536 | ~spl5880_2734),
% 58.13/9.50 inference(avatar_split_clause,[],[f93776,f93773,f86300,f94521])).
% 58.13/9.50 tff(f94521,plain,(
% 58.13/9.50 spl5880_2853 <=> ! [X2 : $o,X3 : $o] : sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),iG714($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2853])])).
% 58.13/9.50 tff(f93773,plain,(
% 58.13/9.50 spl5880_2734 <=> ! [X2 : $o,X3 : $o] : sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),iG1228($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2734])])).
% 58.13/9.50 tff(f93776,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o] : (sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_2734)),
% 58.13/9.50 inference(forward_demodulation,[],[f93774,f86302])).
% 58.13/9.50 tff(f93774,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o] : (sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),iG1228($true))) ) | ~spl5880_2734),
% 58.13/9.50 inference(avatar_component_clause,[],[f93773])).
% 58.13/9.50 tff(f94519,plain,(
% 58.13/9.50 spl5880_2852 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2733),
% 58.13/9.50 inference(avatar_split_clause,[],[f93771,f93767,f92883,f86336,f94517])).
% 58.13/9.50 tff(f94517,plain,(
% 58.13/9.50 spl5880_2852 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2084(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2852])])).
% 58.13/9.50 tff(f93767,plain,(
% 58.13/9.50 spl5880_2733 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2084(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2733])])).
% 58.13/9.50 tff(f93771,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2084(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2733)),
% 58.13/9.50 inference(forward_demodulation,[],[f93770,f92885])).
% 58.13/9.50 tff(f93770,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG717($true)) = X1 | ~sP2084(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2733)),
% 58.13/9.50 inference(forward_demodulation,[],[f93768,f86338])).
% 58.13/9.50 tff(f93768,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2084(X0,X1)) ) | ~spl5880_2733),
% 58.13/9.50 inference(avatar_component_clause,[],[f93767])).
% 58.13/9.50 tff(f94515,plain,(
% 58.13/9.50 spl5880_2851 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2732),
% 58.13/9.50 inference(avatar_split_clause,[],[f93765,f93761,f92883,f86336,f94513])).
% 58.13/9.50 tff(f94513,plain,(
% 58.13/9.50 spl5880_2851 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2081(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2851])])).
% 58.13/9.50 tff(f93761,plain,(
% 58.13/9.50 spl5880_2732 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2081(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2732])])).
% 58.13/9.50 tff(f93765,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2081(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2732)),
% 58.13/9.50 inference(forward_demodulation,[],[f93764,f92885])).
% 58.13/9.50 tff(f93764,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG717($true)) = X1 | ~sP2081(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2732)),
% 58.13/9.50 inference(forward_demodulation,[],[f93762,f86338])).
% 58.13/9.50 tff(f93762,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2081(X0,X1)) ) | ~spl5880_2732),
% 58.13/9.50 inference(avatar_component_clause,[],[f93761])).
% 58.13/9.50 tff(f94511,plain,(
% 58.13/9.50 spl5880_2850 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2731),
% 58.13/9.50 inference(avatar_split_clause,[],[f93759,f93755,f92883,f86336,f94509])).
% 58.13/9.50 tff(f94509,plain,(
% 58.13/9.50 spl5880_2850 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2052(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2850])])).
% 58.13/9.50 tff(f93755,plain,(
% 58.13/9.50 spl5880_2731 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2052(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2731])])).
% 58.13/9.50 tff(f93759,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2052(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2731)),
% 58.13/9.50 inference(forward_demodulation,[],[f93758,f92885])).
% 58.13/9.50 tff(f93758,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG717($true)) = X0 | ~sP2052(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2731)),
% 58.13/9.50 inference(forward_demodulation,[],[f93756,f86338])).
% 58.13/9.50 tff(f93756,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2052(X0,X1)) ) | ~spl5880_2731),
% 58.13/9.50 inference(avatar_component_clause,[],[f93755])).
% 58.13/9.50 tff(f94507,plain,(
% 58.13/9.50 spl5880_2849 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2730),
% 58.13/9.50 inference(avatar_split_clause,[],[f93753,f93749,f92883,f86336,f94505])).
% 58.13/9.50 tff(f94505,plain,(
% 58.13/9.50 spl5880_2849 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2053(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2849])])).
% 58.13/9.50 tff(f93749,plain,(
% 58.13/9.50 spl5880_2730 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2053(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2730])])).
% 58.13/9.50 tff(f93753,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2053(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2730)),
% 58.13/9.50 inference(forward_demodulation,[],[f93752,f92885])).
% 58.13/9.50 tff(f93752,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG717($true)) = X0 | ~sP2053(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2730)),
% 58.13/9.50 inference(forward_demodulation,[],[f93750,f86338])).
% 58.13/9.50 tff(f93750,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2053(X0,X1)) ) | ~spl5880_2730),
% 58.13/9.50 inference(avatar_component_clause,[],[f93749])).
% 58.13/9.50 tff(f94503,plain,(
% 58.13/9.50 spl5880_2848 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2729),
% 58.13/9.50 inference(avatar_split_clause,[],[f93747,f93743,f92883,f86336,f94501])).
% 58.13/9.50 tff(f94501,plain,(
% 58.13/9.50 spl5880_2848 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2051(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2848])])).
% 58.13/9.50 tff(f93743,plain,(
% 58.13/9.50 spl5880_2729 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2051(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2729])])).
% 58.13/9.50 tff(f93747,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG714($true)) = X0 | ~sP2051(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2729)),
% 58.13/9.50 inference(forward_demodulation,[],[f93746,f92885])).
% 58.13/9.50 tff(f93746,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG717($true)) = X0 | ~sP2051(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2729)),
% 58.13/9.50 inference(forward_demodulation,[],[f93744,f86338])).
% 58.13/9.50 tff(f93744,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2051(X0,X1)) ) | ~spl5880_2729),
% 58.13/9.50 inference(avatar_component_clause,[],[f93743])).
% 58.13/9.50 tff(f94499,plain,(
% 58.13/9.50 spl5880_2847 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2728),
% 58.13/9.50 inference(avatar_split_clause,[],[f93741,f93737,f92883,f86336,f94497])).
% 58.13/9.50 tff(f94497,plain,(
% 58.13/9.50 spl5880_2847 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2047(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2847])])).
% 58.13/9.50 tff(f93737,plain,(
% 58.13/9.50 spl5880_2728 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2047(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2728])])).
% 58.13/9.50 tff(f93741,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2047(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2728)),
% 58.13/9.50 inference(forward_demodulation,[],[f93740,f92885])).
% 58.13/9.50 tff(f93740,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG717($true)) = X1 | ~sP2047(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2728)),
% 58.13/9.50 inference(forward_demodulation,[],[f93738,f86338])).
% 58.13/9.50 tff(f93738,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2047(X0,X1)) ) | ~spl5880_2728),
% 58.13/9.50 inference(avatar_component_clause,[],[f93737])).
% 58.13/9.50 tff(f94495,plain,(
% 58.13/9.50 spl5880_2846 | ~spl5880_1544 | ~spl5880_2538 | ~spl5880_2727),
% 58.13/9.50 inference(avatar_split_clause,[],[f93735,f93731,f92883,f86336,f94493])).
% 58.13/9.50 tff(f94493,plain,(
% 58.13/9.50 spl5880_2846 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2044(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2846])])).
% 58.13/9.50 tff(f93731,plain,(
% 58.13/9.50 spl5880_2727 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2044(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2727])])).
% 58.13/9.50 tff(f93735,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG714($true)) = X1 | ~sP2044(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2538 | ~spl5880_2727)),
% 58.13/9.50 inference(forward_demodulation,[],[f93734,f92885])).
% 58.13/9.50 tff(f93734,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG717($true)) = X1 | ~sP2044(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2727)),
% 58.13/9.50 inference(forward_demodulation,[],[f93732,f86338])).
% 58.13/9.50 tff(f93732,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2044(X0,X1)) ) | ~spl5880_2727),
% 58.13/9.50 inference(avatar_component_clause,[],[f93731])).
% 58.13/9.50 tff(f94491,plain,(
% 58.13/9.50 spl5880_2845 | ~spl5880_1536 | ~spl5880_2726),
% 58.13/9.50 inference(avatar_split_clause,[],[f93729,f93725,f86300,f94489])).
% 58.13/9.50 tff(f94489,plain,(
% 58.13/9.50 spl5880_2845 <=> ! [X0 : vEBT_VEBT] : (sP2017(iG714($true),X0) | vEBT_VEBT_valid(X0,iG714($true)))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2845])])).
% 58.13/9.50 tff(f93725,plain,(
% 58.13/9.50 spl5880_2726 <=> ! [X0 : vEBT_VEBT] : (vEBT_VEBT_valid(X0,iG1228($true)) | sP2017(iG1228($true),X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2726])])).
% 58.13/9.50 tff(f93729,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (sP2017(iG714($true),X0) | vEBT_VEBT_valid(X0,iG714($true))) ) | (~spl5880_1536 | ~spl5880_2726)),
% 58.13/9.50 inference(forward_demodulation,[],[f93728,f86302])).
% 58.13/9.50 tff(f93728,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_valid(X0,iG714($true)) | sP2017(iG1228($true),X0)) ) | (~spl5880_1536 | ~spl5880_2726)),
% 58.13/9.50 inference(forward_demodulation,[],[f93726,f86302])).
% 58.13/9.50 tff(f93726,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_valid(X0,iG1228($true)) | sP2017(iG1228($true),X0)) ) | ~spl5880_2726),
% 58.13/9.50 inference(avatar_component_clause,[],[f93725])).
% 58.13/9.50 tff(f94487,plain,(
% 58.13/9.50 spl5880_2844 | ~spl5880_1536 | ~spl5880_2725),
% 58.13/9.50 inference(avatar_split_clause,[],[f93723,f93720,f86300,f94485])).
% 58.13/9.50 tff(f94485,plain,(
% 58.13/9.50 spl5880_2844 <=> ! [X0 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),iG714($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2844])])).
% 58.13/9.50 tff(f93720,plain,(
% 58.13/9.50 spl5880_2725 <=> ! [X0 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),iG1228($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2725])])).
% 58.13/9.50 tff(f93723,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_2725)),
% 58.13/9.50 inference(forward_demodulation,[],[f93721,f86302])).
% 58.13/9.50 tff(f93721,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),iG1228($true))) ) | ~spl5880_2725),
% 58.13/9.50 inference(avatar_component_clause,[],[f93720])).
% 58.13/9.50 tff(f94483,plain,(
% 58.13/9.50 spl5880_2843 | ~spl5880_1536 | ~spl5880_2724),
% 58.13/9.50 inference(avatar_split_clause,[],[f93718,f93715,f86300,f94481])).
% 58.13/9.50 tff(f94481,plain,(
% 58.13/9.50 spl5880_2843 <=> ! [X0 : $tType,X1 : fun(X0,nat)] : size_option(X0,X1,none(X0)) = iG714($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2843])])).
% 58.13/9.50 tff(f93715,plain,(
% 58.13/9.50 spl5880_2724 <=> ! [X0 : $tType,X1 : fun(X0,nat)] : size_option(X0,X1,none(X0)) = iG1228($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2724])])).
% 58.13/9.50 tff(f93718,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : fun(X0,nat)] : (size_option(X0,X1,none(X0)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_2724)),
% 58.13/9.50 inference(forward_demodulation,[],[f93716,f86302])).
% 58.13/9.50 tff(f93716,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : fun(X0,nat)] : (size_option(X0,X1,none(X0)) = iG1228($true)) ) | ~spl5880_2724),
% 58.13/9.50 inference(avatar_component_clause,[],[f93715])).
% 58.13/9.50 tff(f94479,plain,(
% 58.13/9.50 spl5880_2842 | ~spl5880_1536 | ~spl5880_2723),
% 58.13/9.50 inference(avatar_split_clause,[],[f93713,f93710,f86300,f94477])).
% 58.13/9.50 tff(f94477,plain,(
% 58.13/9.50 spl5880_2842 <=> ! [X2 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),iG714($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2842])])).
% 58.13/9.50 tff(f93710,plain,(
% 58.13/9.50 spl5880_2723 <=> ! [X2 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),iG1228($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2723])])).
% 58.13/9.50 tff(f93713,plain,(
% 58.13/9.50 ( ! [X2 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),iG714($true))) ) | (~spl5880_1536 | ~spl5880_2723)),
% 58.13/9.50 inference(forward_demodulation,[],[f93711,f86302])).
% 58.13/9.50 tff(f93711,plain,(
% 58.13/9.50 ( ! [X2 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),iG1228($true))) ) | ~spl5880_2723),
% 58.13/9.50 inference(avatar_component_clause,[],[f93710])).
% 58.13/9.50 tff(f94475,plain,(
% 58.13/9.50 spl5880_2841 | ~spl5880_1536 | ~spl5880_2722),
% 58.13/9.50 inference(avatar_split_clause,[],[f93708,f93705,f86300,f94473])).
% 58.13/9.50 tff(f94473,plain,(
% 58.13/9.50 spl5880_2841 <=> ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0))) = iG714($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2841])])).
% 58.13/9.50 tff(f93705,plain,(
% 58.13/9.50 spl5880_2722 <=> ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0))) = iG1228($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2722])])).
% 58.13/9.50 tff(f93708,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0))) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_2722)),
% 58.13/9.50 inference(forward_demodulation,[],[f93706,f86302])).
% 58.13/9.50 tff(f93706,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0))) = iG1228($true)) ) | ~spl5880_2722),
% 58.13/9.50 inference(avatar_component_clause,[],[f93705])).
% 58.13/9.50 tff(f94471,plain,(
% 58.13/9.50 spl5880_2840 | ~spl5880_1536 | ~spl5880_2721),
% 58.13/9.50 inference(avatar_split_clause,[],[f93703,f93700,f86300,f94469])).
% 58.13/9.50 tff(f94469,plain,(
% 58.13/9.50 spl5880_2840 <=> ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true)) = iG714($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2840])])).
% 58.13/9.50 tff(f93700,plain,(
% 58.13/9.50 spl5880_2721 <=> ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true)) = iG1228($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2721])])).
% 58.13/9.50 tff(f93703,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true)) = iG714($true)) ) | (~spl5880_1536 | ~spl5880_2721)),
% 58.13/9.50 inference(forward_demodulation,[],[f93701,f86302])).
% 58.13/9.50 tff(f93701,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true)) = iG1228($true)) ) | ~spl5880_2721),
% 58.13/9.50 inference(avatar_component_clause,[],[f93700])).
% 58.13/9.50 tff(f94467,plain,(
% 58.13/9.50 spl5880_2839 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_2720),
% 58.13/9.50 inference(avatar_split_clause,[],[f93698,f93694,f86336,f86300,f94465])).
% 58.13/9.50 tff(f94465,plain,(
% 58.13/9.50 spl5880_2839 <=> ! [X0 : nat] : iG717($true) = modulo_modulo(nat,X0,iG714($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2839])])).
% 58.13/9.50 tff(f93694,plain,(
% 58.13/9.50 spl5880_2720 <=> ! [X0 : nat] : iG894($true) = modulo_modulo(nat,X0,iG1228($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2720])])).
% 58.13/9.50 tff(f93698,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG717($true) = modulo_modulo(nat,X0,iG714($true))) ) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_2720)),
% 58.13/9.50 inference(forward_demodulation,[],[f93697,f86338])).
% 58.13/9.50 tff(f93697,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = modulo_modulo(nat,X0,iG714($true))) ) | (~spl5880_1536 | ~spl5880_2720)),
% 58.13/9.50 inference(forward_demodulation,[],[f93695,f86302])).
% 58.13/9.50 tff(f93695,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = modulo_modulo(nat,X0,iG1228($true))) ) | ~spl5880_2720),
% 58.13/9.50 inference(avatar_component_clause,[],[f93694])).
% 58.13/9.50 tff(f94463,plain,(
% 58.13/9.50 spl5880_2838 | ~spl5880_1544 | ~spl5880_2719),
% 58.13/9.50 inference(avatar_split_clause,[],[f93692,f93689,f86336,f94461])).
% 58.13/9.50 tff(f94461,plain,(
% 58.13/9.50 spl5880_2838 <=> ! [X0 : nat] : iG717($true) = ord_min(nat,iG717($true),X0)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2838])])).
% 58.13/9.50 tff(f93689,plain,(
% 58.13/9.50 spl5880_2719 <=> ! [X0 : nat] : iG894($true) = ord_min(nat,iG894($true),X0)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2719])])).
% 58.13/9.50 tff(f93692,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG717($true) = ord_min(nat,iG717($true),X0)) ) | (~spl5880_1544 | ~spl5880_2719)),
% 58.13/9.50 inference(forward_demodulation,[],[f93690,f86338])).
% 58.13/9.50 tff(f93690,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = ord_min(nat,iG894($true),X0)) ) | ~spl5880_2719),
% 58.13/9.50 inference(avatar_component_clause,[],[f93689])).
% 58.13/9.50 tff(f94459,plain,(
% 58.13/9.50 spl5880_2837 | ~spl5880_1544 | ~spl5880_2718),
% 58.13/9.50 inference(avatar_split_clause,[],[f93687,f93684,f86336,f94457])).
% 58.13/9.50 tff(f94457,plain,(
% 58.13/9.50 spl5880_2837 <=> ! [X0 : nat] : iG717($true) = ord_min(nat,X0,iG717($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2837])])).
% 58.13/9.50 tff(f93684,plain,(
% 58.13/9.50 spl5880_2718 <=> ! [X0 : nat] : iG894($true) = ord_min(nat,X0,iG894($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2718])])).
% 58.13/9.50 tff(f93687,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG717($true) = ord_min(nat,X0,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2718)),
% 58.13/9.50 inference(forward_demodulation,[],[f93685,f86338])).
% 58.13/9.50 tff(f93685,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = ord_min(nat,X0,iG894($true))) ) | ~spl5880_2718),
% 58.13/9.50 inference(avatar_component_clause,[],[f93684])).
% 58.13/9.50 tff(f94455,plain,(
% 58.13/9.50 spl5880_2836 | ~spl5880_1536 | ~spl5880_2717),
% 58.13/9.50 inference(avatar_split_clause,[],[f93682,f93679,f86300,f94453])).
% 58.13/9.50 tff(f94453,plain,(
% 58.13/9.50 spl5880_2836 <=> ! [X0 : nat] : iG714($true) = gcd_gcd(nat,X0,iG714($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2836])])).
% 58.13/9.50 tff(f93679,plain,(
% 58.13/9.50 spl5880_2717 <=> ! [X0 : nat] : iG1228($true) = gcd_gcd(nat,X0,iG1228($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2717])])).
% 58.13/9.50 tff(f93682,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG714($true) = gcd_gcd(nat,X0,iG714($true))) ) | (~spl5880_1536 | ~spl5880_2717)),
% 58.13/9.50 inference(forward_demodulation,[],[f93680,f86302])).
% 58.13/9.50 tff(f93680,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG1228($true) = gcd_gcd(nat,X0,iG1228($true))) ) | ~spl5880_2717),
% 58.13/9.50 inference(avatar_component_clause,[],[f93679])).
% 58.13/9.50 tff(f94451,plain,(
% 58.13/9.50 spl5880_2835 | ~spl5880_1544 | ~spl5880_2716),
% 58.13/9.50 inference(avatar_split_clause,[],[f93677,f93674,f86336,f94449])).
% 58.13/9.50 tff(f93674,plain,(
% 58.13/9.50 spl5880_2716 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) != iG894($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2716])])).
% 58.13/9.50 tff(f93677,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != iG717($true)) ) | (~spl5880_1544 | ~spl5880_2716)),
% 58.13/9.50 inference(forward_demodulation,[],[f93675,f86338])).
% 58.13/9.50 tff(f93675,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != iG894($true)) ) | ~spl5880_2716),
% 58.13/9.50 inference(avatar_component_clause,[],[f93674])).
% 58.13/9.50 tff(f94447,plain,(
% 58.13/9.50 spl5880_2834 | ~spl5880_1544 | ~spl5880_2712),
% 58.13/9.50 inference(avatar_split_clause,[],[f93657,f93654,f86336,f94445])).
% 58.13/9.50 tff(f94445,plain,(
% 58.13/9.50 spl5880_2834 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG426(X3,iG717($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2834])])).
% 58.13/9.50 tff(f93654,plain,(
% 58.13/9.50 spl5880_2712 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG426(X3,iG894($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2712])])).
% 58.13/9.50 tff(f93657,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG426(X3,iG717($true),X5)) ) | (~spl5880_1544 | ~spl5880_2712)),
% 58.13/9.50 inference(forward_demodulation,[],[f93655,f86338])).
% 58.13/9.50 tff(f93655,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG426(X3,iG894($true),X5)) ) | ~spl5880_2712),
% 58.13/9.50 inference(avatar_component_clause,[],[f93654])).
% 58.13/9.50 tff(f94443,plain,(
% 58.13/9.50 spl5880_2833 | ~spl5880_1544 | ~spl5880_2711),
% 58.13/9.50 inference(avatar_split_clause,[],[f93652,f93649,f86336,f94441])).
% 58.13/9.50 tff(f94441,plain,(
% 58.13/9.50 spl5880_2833 <=> ! [X3 : $tType,X5 : X3] : zero_zero(X3) = iG459(X3,iG717($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2833])])).
% 58.13/9.50 tff(f93649,plain,(
% 58.13/9.50 spl5880_2711 <=> ! [X3 : $tType,X5 : X3] : zero_zero(X3) = iG459(X3,iG894($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2711])])).
% 58.13/9.50 tff(f93652,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG459(X3,iG717($true),X5)) ) | (~spl5880_1544 | ~spl5880_2711)),
% 58.13/9.50 inference(forward_demodulation,[],[f93650,f86338])).
% 58.13/9.50 tff(f93650,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG459(X3,iG894($true),X5)) ) | ~spl5880_2711),
% 58.13/9.50 inference(avatar_component_clause,[],[f93649])).
% 58.13/9.50 tff(f94439,plain,(
% 58.13/9.50 spl5880_2832 | ~spl5880_1544 | ~spl5880_2710),
% 58.13/9.50 inference(avatar_split_clause,[],[f93647,f93644,f86336,f94437])).
% 58.13/9.50 tff(f94437,plain,(
% 58.13/9.50 spl5880_2832 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG510(X3,iG717($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2832])])).
% 58.13/9.50 tff(f93644,plain,(
% 58.13/9.50 spl5880_2710 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG510(X3,iG894($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2710])])).
% 58.13/9.50 tff(f93647,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG510(X3,iG717($true),X5)) ) | (~spl5880_1544 | ~spl5880_2710)),
% 58.13/9.50 inference(forward_demodulation,[],[f93645,f86338])).
% 58.13/9.50 tff(f93645,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG510(X3,iG894($true),X5)) ) | ~spl5880_2710),
% 58.13/9.50 inference(avatar_component_clause,[],[f93644])).
% 58.13/9.50 tff(f94435,plain,(
% 58.13/9.50 spl5880_2831 | ~spl5880_1544 | ~spl5880_2709),
% 58.13/9.50 inference(avatar_split_clause,[],[f93642,f93639,f86336,f94433])).
% 58.13/9.50 tff(f94433,plain,(
% 58.13/9.50 spl5880_2831 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG515(X3,iG717($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2831])])).
% 58.13/9.50 tff(f93639,plain,(
% 58.13/9.50 spl5880_2709 <=> ! [X3 : $tType,X5 : X3] : one_one(X3) = iG515(X3,iG894($true),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2709])])).
% 58.13/9.50 tff(f93642,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG515(X3,iG717($true),X5)) ) | (~spl5880_1544 | ~spl5880_2709)),
% 58.13/9.50 inference(forward_demodulation,[],[f93640,f86338])).
% 58.13/9.50 tff(f93640,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG515(X3,iG894($true),X5)) ) | ~spl5880_2709),
% 58.13/9.50 inference(avatar_component_clause,[],[f93639])).
% 58.13/9.50 tff(f94431,plain,(
% 58.13/9.50 spl5880_2830 | ~spl5880_1544 | ~spl5880_2708),
% 58.13/9.50 inference(avatar_split_clause,[],[f93637,f93634,f86336,f94429])).
% 58.13/9.50 tff(f94429,plain,(
% 58.13/9.50 spl5880_2830 <=> ! [X3 : nat] : iG717($true) = divide_divide(nat,X3,iG717($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2830])])).
% 58.13/9.50 tff(f93634,plain,(
% 58.13/9.50 spl5880_2708 <=> ! [X3 : nat] : iG894($true) = divide_divide(nat,X3,iG894($true))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2708])])).
% 58.13/9.50 tff(f93637,plain,(
% 58.13/9.50 ( ! [X3 : nat] : (iG717($true) = divide_divide(nat,X3,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2708)),
% 58.13/9.50 inference(forward_demodulation,[],[f93635,f86338])).
% 58.13/9.50 tff(f93635,plain,(
% 58.13/9.50 ( ! [X3 : nat] : (iG894($true) = divide_divide(nat,X3,iG894($true))) ) | ~spl5880_2708),
% 58.13/9.50 inference(avatar_component_clause,[],[f93634])).
% 58.13/9.50 tff(f94427,plain,(
% 58.13/9.50 spl5880_2829 | ~spl5880_1544 | ~spl5880_2707),
% 58.13/9.50 inference(avatar_split_clause,[],[f93632,f93629,f86336,f94425])).
% 58.13/9.50 tff(f94425,plain,(
% 58.13/9.50 spl5880_2829 <=> ! [X4 : $o,X5 : $o] : (~iG803(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2829])])).
% 58.13/9.50 tff(f93629,plain,(
% 58.13/9.50 spl5880_2707 <=> ! [X4 : $o,X5 : $o] : (~iG803(iG894($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2707])])).
% 58.13/9.50 tff(f93632,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG803(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1544 | ~spl5880_2707)),
% 58.13/9.50 inference(forward_demodulation,[],[f93630,f86338])).
% 58.13/9.50 tff(f93630,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG803(iG894($true),X4,X5) | ($true = X5)) ) | ~spl5880_2707),
% 58.13/9.50 inference(avatar_component_clause,[],[f93629])).
% 58.13/9.50 tff(f94423,plain,(
% 58.13/9.50 spl5880_2828 | ~spl5880_1544 | ~spl5880_2706),
% 58.13/9.50 inference(avatar_split_clause,[],[f93627,f93624,f86336,f94421])).
% 58.13/9.50 tff(f94421,plain,(
% 58.13/9.50 spl5880_2828 <=> ! [X4 : $o,X5 : $o] : (~iG811(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2828])])).
% 58.13/9.50 tff(f93624,plain,(
% 58.13/9.50 spl5880_2706 <=> ! [X4 : $o,X5 : $o] : (~iG811(iG894($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2706])])).
% 58.13/9.50 tff(f93627,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG811(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1544 | ~spl5880_2706)),
% 58.13/9.50 inference(forward_demodulation,[],[f93625,f86338])).
% 58.13/9.50 tff(f93625,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG811(iG894($true),X4,X5) | ($true = X5)) ) | ~spl5880_2706),
% 58.13/9.50 inference(avatar_component_clause,[],[f93624])).
% 58.13/9.50 tff(f94419,plain,(
% 58.13/9.50 spl5880_2827 | ~spl5880_1544 | ~spl5880_2705),
% 58.13/9.50 inference(avatar_split_clause,[],[f93622,f93619,f86336,f94417])).
% 58.13/9.50 tff(f94417,plain,(
% 58.13/9.50 spl5880_2827 <=> ! [X4 : $o,X5 : $o] : (~iG843(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2827])])).
% 58.13/9.50 tff(f93619,plain,(
% 58.13/9.50 spl5880_2705 <=> ! [X4 : $o,X5 : $o] : (~iG843(iG894($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2705])])).
% 58.13/9.50 tff(f93622,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG843(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1544 | ~spl5880_2705)),
% 58.13/9.50 inference(forward_demodulation,[],[f93620,f86338])).
% 58.13/9.50 tff(f93620,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG843(iG894($true),X4,X5) | ($true = X5)) ) | ~spl5880_2705),
% 58.13/9.50 inference(avatar_component_clause,[],[f93619])).
% 58.13/9.50 tff(f94415,plain,(
% 58.13/9.50 spl5880_2826 | ~spl5880_1544 | ~spl5880_2704),
% 58.13/9.50 inference(avatar_split_clause,[],[f93617,f93614,f86336,f94413])).
% 58.13/9.50 tff(f94413,plain,(
% 58.13/9.50 spl5880_2826 <=> ! [X4 : $o,X5 : $o] : (~iG851(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2826])])).
% 58.13/9.50 tff(f93614,plain,(
% 58.13/9.50 spl5880_2704 <=> ! [X4 : $o,X5 : $o] : (~iG851(iG894($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2704])])).
% 58.13/9.50 tff(f93617,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG851(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1544 | ~spl5880_2704)),
% 58.13/9.50 inference(forward_demodulation,[],[f93615,f86338])).
% 58.13/9.50 tff(f93615,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG851(iG894($true),X4,X5) | ($true = X5)) ) | ~spl5880_2704),
% 58.13/9.50 inference(avatar_component_clause,[],[f93614])).
% 58.13/9.50 tff(f94375,plain,(
% 58.13/9.50 spl5880_2825 | ~spl5880_1443 | ~spl5880_2690),
% 58.13/9.50 inference(avatar_split_clause,[],[f93560,f93557,f85782,f94373])).
% 58.13/9.50 tff(f94373,plain,(
% 58.13/9.50 spl5880_2825 <=> ! [X3 : $tType] : iG923(X3,nil(list(X3))) = iG717($true)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2825])])).
% 58.13/9.50 tff(f93557,plain,(
% 58.13/9.50 spl5880_2690 <=> ! [X3 : $tType] : zero_zero(nat) = iG923(X3,nil(list(X3)))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2690])])).
% 58.13/9.50 tff(f93560,plain,(
% 58.13/9.50 ( ! [X3 : $tType] : (iG923(X3,nil(list(X3))) = iG717($true)) ) | (~spl5880_1443 | ~spl5880_2690)),
% 58.13/9.50 inference(forward_demodulation,[],[f93558,f85784])).
% 58.13/9.50 tff(f93558,plain,(
% 58.13/9.50 ( ! [X3 : $tType] : (zero_zero(nat) = iG923(X3,nil(list(X3)))) ) | ~spl5880_2690),
% 58.13/9.50 inference(avatar_component_clause,[],[f93557])).
% 58.13/9.50 tff(f94371,plain,(
% 58.13/9.50 spl5880_2824 | ~spl5880_1443 | ~spl5880_2689),
% 58.13/9.50 inference(avatar_split_clause,[],[f93555,f93552,f85782,f94369])).
% 58.13/9.50 tff(f94369,plain,(
% 58.13/9.50 spl5880_2824 <=> ! [X4 : $o,X5 : $o] : (~iG934(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2824])])).
% 58.13/9.50 tff(f93552,plain,(
% 58.13/9.50 spl5880_2689 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG934(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2689])])).
% 58.13/9.50 tff(f93555,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG934(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2689)),
% 58.13/9.50 inference(forward_demodulation,[],[f93553,f85784])).
% 58.13/9.50 tff(f93553,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG934(zero_zero(nat),X4,X5)) ) | ~spl5880_2689),
% 58.13/9.50 inference(avatar_component_clause,[],[f93552])).
% 58.13/9.50 tff(f94367,plain,(
% 58.13/9.50 spl5880_2823 | ~spl5880_1443 | ~spl5880_2688),
% 58.13/9.50 inference(avatar_split_clause,[],[f93550,f93547,f85782,f94365])).
% 58.13/9.50 tff(f94365,plain,(
% 58.13/9.50 spl5880_2823 <=> ! [X4 : $o,X5 : $o] : (~iG946(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2823])])).
% 58.13/9.50 tff(f93547,plain,(
% 58.13/9.50 spl5880_2688 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG946(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2688])])).
% 58.13/9.50 tff(f93550,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG946(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2688)),
% 58.13/9.50 inference(forward_demodulation,[],[f93548,f85784])).
% 58.13/9.50 tff(f93548,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG946(zero_zero(nat),X4,X5)) ) | ~spl5880_2688),
% 58.13/9.50 inference(avatar_component_clause,[],[f93547])).
% 58.13/9.50 tff(f94363,plain,(
% 58.13/9.50 spl5880_2822 | ~spl5880_1443 | ~spl5880_2687),
% 58.13/9.50 inference(avatar_split_clause,[],[f93545,f93542,f85782,f94361])).
% 58.13/9.50 tff(f94361,plain,(
% 58.13/9.50 spl5880_2822 <=> ! [X4 : $o,X5 : $o] : (~iG956(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2822])])).
% 58.13/9.50 tff(f93542,plain,(
% 58.13/9.50 spl5880_2687 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG956(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2687])])).
% 58.13/9.50 tff(f93545,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG956(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2687)),
% 58.13/9.50 inference(forward_demodulation,[],[f93543,f85784])).
% 58.13/9.50 tff(f93543,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG956(zero_zero(nat),X4,X5)) ) | ~spl5880_2687),
% 58.13/9.50 inference(avatar_component_clause,[],[f93542])).
% 58.13/9.50 tff(f94359,plain,(
% 58.13/9.50 spl5880_2821 | ~spl5880_1443 | ~spl5880_2686),
% 58.13/9.50 inference(avatar_split_clause,[],[f93540,f93537,f85782,f94357])).
% 58.13/9.50 tff(f94357,plain,(
% 58.13/9.50 spl5880_2821 <=> ! [X4 : $o,X5 : $o] : (~iG968(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2821])])).
% 58.13/9.50 tff(f93537,plain,(
% 58.13/9.50 spl5880_2686 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG968(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2686])])).
% 58.13/9.50 tff(f93540,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG968(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2686)),
% 58.13/9.50 inference(forward_demodulation,[],[f93538,f85784])).
% 58.13/9.50 tff(f93538,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG968(zero_zero(nat),X4,X5)) ) | ~spl5880_2686),
% 58.13/9.50 inference(avatar_component_clause,[],[f93537])).
% 58.13/9.50 tff(f94355,plain,(
% 58.13/9.50 spl5880_2820 | ~spl5880_1443 | ~spl5880_2685),
% 58.13/9.50 inference(avatar_split_clause,[],[f93535,f93532,f85782,f94353])).
% 58.13/9.50 tff(f94353,plain,(
% 58.13/9.50 spl5880_2820 <=> ! [X4 : $o,X5 : $o] : (~iG1478(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2820])])).
% 58.13/9.50 tff(f93532,plain,(
% 58.13/9.50 spl5880_2685 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1478(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2685])])).
% 58.13/9.50 tff(f93535,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG1478(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2685)),
% 58.13/9.50 inference(forward_demodulation,[],[f93533,f85784])).
% 58.13/9.50 tff(f93533,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1478(zero_zero(nat),X4,X5)) ) | ~spl5880_2685),
% 58.13/9.50 inference(avatar_component_clause,[],[f93532])).
% 58.13/9.50 tff(f94351,plain,(
% 58.13/9.50 spl5880_2819 | ~spl5880_1443 | ~spl5880_2684),
% 58.13/9.50 inference(avatar_split_clause,[],[f93530,f93527,f85782,f94349])).
% 58.13/9.50 tff(f94349,plain,(
% 58.13/9.50 spl5880_2819 <=> ! [X4 : $o,X5 : $o] : (bG1483(X5) = iG1486(iG717($true),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2819])])).
% 58.13/9.50 tff(f93527,plain,(
% 58.13/9.50 spl5880_2684 <=> ! [X4 : $o,X5 : $o] : (bG1483(X5) = iG1486(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2684])])).
% 58.13/9.50 tff(f93530,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1483(X5) = iG1486(iG717($true),X4,X5))) ) | (~spl5880_1443 | ~spl5880_2684)),
% 58.13/9.50 inference(forward_demodulation,[],[f93528,f85784])).
% 58.13/9.50 tff(f93528,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1483(X5) = iG1486(zero_zero(nat),X4,X5))) ) | ~spl5880_2684),
% 58.13/9.50 inference(avatar_component_clause,[],[f93527])).
% 58.13/9.50 tff(f94347,plain,(
% 58.13/9.50 spl5880_2818 | ~spl5880_1443 | ~spl5880_2683),
% 58.13/9.50 inference(avatar_split_clause,[],[f93525,f93522,f85782,f94345])).
% 58.13/9.50 tff(f94345,plain,(
% 58.13/9.50 spl5880_2818 <=> ! [X4 : $o,X5 : $o] : (~iG1510(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2818])])).
% 58.13/9.50 tff(f93522,plain,(
% 58.13/9.50 spl5880_2683 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1510(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2683])])).
% 58.13/9.50 tff(f93525,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG1510(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2683)),
% 58.13/9.50 inference(forward_demodulation,[],[f93523,f85784])).
% 58.13/9.50 tff(f93523,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1510(zero_zero(nat),X4,X5)) ) | ~spl5880_2683),
% 58.13/9.50 inference(avatar_component_clause,[],[f93522])).
% 58.13/9.50 tff(f94343,plain,(
% 58.13/9.50 spl5880_2817 | ~spl5880_1443 | ~spl5880_2682),
% 58.13/9.50 inference(avatar_split_clause,[],[f93520,f93517,f85782,f94341])).
% 58.13/9.50 tff(f94341,plain,(
% 58.13/9.50 spl5880_2817 <=> ! [X4 : $o,X5 : $o] : (bG1519(X5) = iG1522(iG717($true),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2817])])).
% 58.13/9.50 tff(f93517,plain,(
% 58.13/9.50 spl5880_2682 <=> ! [X4 : $o,X5 : $o] : (bG1519(X5) = iG1522(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2682])])).
% 58.13/9.50 tff(f93520,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1519(X5) = iG1522(iG717($true),X4,X5))) ) | (~spl5880_1443 | ~spl5880_2682)),
% 58.13/9.50 inference(forward_demodulation,[],[f93518,f85784])).
% 58.13/9.50 tff(f93518,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1519(X5) = iG1522(zero_zero(nat),X4,X5))) ) | ~spl5880_2682),
% 58.13/9.50 inference(avatar_component_clause,[],[f93517])).
% 58.13/9.50 tff(f94339,plain,(
% 58.13/9.50 spl5880_2816 | ~spl5880_1443 | ~spl5880_2679),
% 58.13/9.50 inference(avatar_split_clause,[],[f93507,f93504,f85782,f94337])).
% 58.13/9.50 tff(f94337,plain,(
% 58.13/9.50 spl5880_2816 <=> ! [X4 : $o,X5 : $o] : (~iG1538(iG717($true),X4,X5) | ($true = X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2816])])).
% 58.13/9.50 tff(f93504,plain,(
% 58.13/9.50 spl5880_2679 <=> ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1538(zero_zero(nat),X4,X5))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2679])])).
% 58.13/9.50 tff(f93507,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG1538(iG717($true),X4,X5) | ($true = X5)) ) | (~spl5880_1443 | ~spl5880_2679)),
% 58.13/9.50 inference(forward_demodulation,[],[f93505,f85784])).
% 58.13/9.50 tff(f93505,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1538(zero_zero(nat),X4,X5)) ) | ~spl5880_2679),
% 58.13/9.50 inference(avatar_component_clause,[],[f93504])).
% 58.13/9.50 tff(f94335,plain,(
% 58.13/9.50 spl5880_2815 | ~spl5880_1443 | ~spl5880_2678),
% 58.13/9.50 inference(avatar_split_clause,[],[f93502,f93499,f85782,f94333])).
% 58.13/9.50 tff(f94333,plain,(
% 58.13/9.50 spl5880_2815 <=> ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : iG1545(X4,iG717($true),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2815])])).
% 58.13/9.50 tff(f93499,plain,(
% 58.13/9.50 spl5880_2678 <=> ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : iG1545(X4,zero_zero(nat),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2678])])).
% 58.13/9.50 tff(f93502,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1545(X4,iG717($true),X6,X7) = X7) ) | (~spl5880_1443 | ~spl5880_2678)),
% 58.13/9.50 inference(forward_demodulation,[],[f93500,f85784])).
% 58.13/9.50 tff(f93500,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1545(X4,zero_zero(nat),X6,X7) = X7) ) | ~spl5880_2678),
% 58.13/9.50 inference(avatar_component_clause,[],[f93499])).
% 58.13/9.50 tff(f94331,plain,(
% 58.13/9.50 spl5880_2814 | ~spl5880_1443 | ~spl5880_2677),
% 58.13/9.50 inference(avatar_split_clause,[],[f93497,f93494,f85782,f94329])).
% 58.13/9.50 tff(f94329,plain,(
% 58.13/9.50 spl5880_2814 <=> ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : iG1592(X4,iG717($true),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2814])])).
% 58.13/9.50 tff(f93494,plain,(
% 58.13/9.50 spl5880_2677 <=> ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : iG1592(X4,zero_zero(nat),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2677])])).
% 58.13/9.50 tff(f93497,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1592(X4,iG717($true),X6,X7) = X7) ) | (~spl5880_1443 | ~spl5880_2677)),
% 58.13/9.50 inference(forward_demodulation,[],[f93495,f85784])).
% 58.13/9.50 tff(f93495,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1592(X4,zero_zero(nat),X6,X7) = X7) ) | ~spl5880_2677),
% 58.13/9.50 inference(avatar_component_clause,[],[f93494])).
% 58.13/9.50 tff(f94170,plain,(
% 58.13/9.50 spl5880_2813),
% 58.13/9.50 inference(avatar_split_clause,[],[f76740,f94168])).
% 58.13/9.50 tff(f76740,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (~vEBT_V5719532721284313246member(vEBT_Node(X0,iG894($true),X1,X2),X3)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f62605,f67338])).
% 58.13/9.50 tff(f62605,plain,(
% 58.13/9.50 ( ! [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)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f26701])).
% 58.13/9.50 tff(f26701,plain,(
% 58.13/9.50 ! [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)),
% 58.13/9.50 inference(rectify,[],[f1601])).
% 58.13/9.50 tff(f1601,axiom,(
% 58.13/9.50 ! [X105 : option(product_prod(nat,nat)),X109 : list(vEBT_VEBT),X110 : vEBT_VEBT,X99 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X105,zero_zero(nat),X109,X110),X99)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1600_VEBT__internal_Onaive__member_Osimps_I2_J)).
% 58.13/9.50 tff(f94165,plain,(
% 58.13/9.50 spl5880_2812),
% 58.13/9.50 inference(avatar_split_clause,[],[f76560,f94163])).
% 58.13/9.50 tff(f76560,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68735,f67101])).
% 58.13/9.50 tff(f68735,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),one_one(nat))) )),
% 58.13/9.50 inference(equality_resolution,[],[f62249])).
% 58.13/9.50 tff(f62249,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : $o,X1 : $o] : (vEBT_VEBT_valid(vEBT_Leaf(bG1533(X0),bG1534(X1)),X2) | one_one(nat) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44533])).
% 58.13/9.50 tff(f94160,plain,(
% 58.13/9.50 spl5880_2811),
% 58.13/9.50 inference(avatar_split_clause,[],[f75846,f94158])).
% 58.13/9.50 tff(f75846,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2333(X0,$true,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68596,f67101])).
% 58.13/9.50 tff(f68596,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat] : (one_one(nat) = X0 | ~sP2333(X0,$true,X2)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61387])).
% 58.13/9.50 tff(f61387,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (one_one(nat) = X0 | ($true != X1) | ~sP2333(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43895])).
% 58.13/9.50 tff(f94155,plain,(
% 58.13/9.50 spl5880_2810),
% 58.13/9.50 inference(avatar_split_clause,[],[f75845,f94153])).
% 58.13/9.50 tff(f75845,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2333(iG1228($true),X1,X2) | ($true = X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68595,f67101])).
% 58.13/9.50 tff(f68595,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X1 : $o] : (($true = X1) | ~sP2333(one_one(nat),X1,X2)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61388])).
% 58.13/9.50 tff(f61388,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true = X1) | one_one(nat) != X0 | ~sP2333(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43895])).
% 58.13/9.50 tff(f94150,plain,(
% 58.13/9.50 spl5880_2809),
% 58.13/9.50 inference(avatar_split_clause,[],[f75821,f94148])).
% 58.13/9.50 tff(f75821,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X1 : $o] : (~sP2330(iG1228($true),X1,X2) | ($true = X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68589,f67101])).
% 58.13/9.50 tff(f68589,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X1 : $o] : (($true = X1) | ~sP2330(one_one(nat),X1,X2)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61368])).
% 58.13/9.50 tff(f61368,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (one_one(nat) != X0 | ($true = X1) | ~sP2330(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43875])).
% 58.13/9.50 tff(f94145,plain,(
% 58.13/9.50 spl5880_2808),
% 58.13/9.50 inference(avatar_split_clause,[],[f75820,f94143])).
% 58.13/9.50 tff(f75820,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat] : (iG1228($true) = X0 | ~sP2330(X0,$true,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68588,f67101])).
% 58.13/9.50 tff(f68588,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat] : (one_one(nat) = X0 | ~sP2330(X0,$true,X2)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61369])).
% 58.13/9.50 tff(f61369,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (one_one(nat) = X0 | ($true != X1) | ~sP2330(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43875])).
% 58.13/9.50 tff(f94140,plain,(
% 58.13/9.50 spl5880_2807),
% 58.13/9.50 inference(avatar_split_clause,[],[f75718,f94138])).
% 58.13/9.50 tff(f75718,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2270(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f61024,f67338])).
% 58.13/9.50 tff(f61024,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP2270(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43572])).
% 58.13/9.50 tff(f94135,plain,(
% 58.13/9.50 spl5880_2806),
% 58.13/9.50 inference(avatar_split_clause,[],[f75716,f94133])).
% 58.13/9.50 tff(f75716,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2271(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75715,f69743])).
% 58.13/9.50 tff(f75715,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2271(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f61020,f67338])).
% 58.13/9.50 tff(f61020,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2271(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43568])).
% 58.13/9.50 tff(f94130,plain,(
% 58.13/9.50 spl5880_2805),
% 58.13/9.50 inference(avatar_split_clause,[],[f75704,f94128])).
% 58.13/9.50 tff(f75704,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2265(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f61000,f67338])).
% 58.13/9.50 tff(f61000,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP2265(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43544])).
% 58.13/9.50 tff(f94125,plain,(
% 58.13/9.50 spl5880_2804),
% 58.13/9.50 inference(avatar_split_clause,[],[f75690,f94123])).
% 58.13/9.50 tff(f75690,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2261(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60980,f67338])).
% 58.13/9.50 tff(f60980,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP2261(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43519])).
% 58.13/9.50 tff(f94120,plain,(
% 58.13/9.50 spl5880_2803),
% 58.13/9.50 inference(avatar_split_clause,[],[f75682,f94118])).
% 58.13/9.50 tff(f75682,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG894($true) = X1 | ~sP2256(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60966,f67338])).
% 58.13/9.50 tff(f60966,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP2256(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43498])).
% 58.13/9.50 tff(f94115,plain,(
% 58.13/9.50 spl5880_2802),
% 58.13/9.50 inference(avatar_split_clause,[],[f75681,f94113])).
% 58.13/9.50 tff(f75681,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (iG1228($true) = X1 | ~sP2257(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75680,f69743])).
% 58.13/9.50 tff(f75680,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2257(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60963,f67338])).
% 58.13/9.50 tff(f60963,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2257(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43494])).
% 58.13/9.50 tff(f94110,plain,(
% 58.13/9.50 spl5880_2801),
% 58.13/9.50 inference(avatar_split_clause,[],[f75650,f94108])).
% 58.13/9.50 tff(f75650,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2250(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60944,f67338])).
% 58.13/9.50 tff(f60944,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP2250(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43473])).
% 58.13/9.50 tff(f94105,plain,(
% 58.13/9.50 spl5880_2800),
% 58.13/9.50 inference(avatar_split_clause,[],[f75648,f94103])).
% 58.13/9.50 tff(f75648,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2251(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75647,f69743])).
% 58.13/9.50 tff(f75647,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2251(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60940,f67338])).
% 58.13/9.50 tff(f60940,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2251(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43469])).
% 58.13/9.50 tff(f94100,plain,(
% 58.13/9.50 spl5880_2799),
% 58.13/9.50 inference(avatar_split_clause,[],[f75587,f94098])).
% 58.13/9.50 tff(f75587,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2245(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60920,f67338])).
% 58.13/9.50 tff(f60920,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP2245(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43444])).
% 58.13/9.50 tff(f94095,plain,(
% 58.13/9.50 spl5880_2798),
% 58.13/9.50 inference(avatar_split_clause,[],[f75586,f94093])).
% 58.13/9.50 tff(f75586,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2246(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75585,f69743])).
% 58.13/9.50 tff(f75585,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2246(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60917,f67338])).
% 58.13/9.50 tff(f60917,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2246(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43440])).
% 58.13/9.50 tff(f94090,plain,(
% 58.13/9.50 spl5880_2797),
% 58.13/9.50 inference(avatar_split_clause,[],[f75574,f94088])).
% 58.13/9.50 tff(f75574,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2223(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60840,f67338])).
% 58.13/9.50 tff(f60840,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2223(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43345])).
% 58.13/9.50 tff(f94085,plain,(
% 58.13/9.50 spl5880_2796),
% 58.13/9.50 inference(avatar_split_clause,[],[f75573,f94083])).
% 58.13/9.50 tff(f75573,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2223(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60841,f67101])).
% 58.13/9.50 tff(f60841,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2223(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43345])).
% 58.13/9.50 tff(f94080,plain,(
% 58.13/9.50 spl5880_2795),
% 58.13/9.50 inference(avatar_split_clause,[],[f75571,f94078])).
% 58.13/9.50 tff(f75571,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2224(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75570,f69743])).
% 58.13/9.50 tff(f75570,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2224(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60836,f67338])).
% 58.13/9.50 tff(f60836,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2224(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43341])).
% 58.13/9.50 tff(f94075,plain,(
% 58.13/9.50 spl5880_2794),
% 58.13/9.50 inference(avatar_split_clause,[],[f75569,f94073])).
% 58.13/9.50 tff(f75569,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2224(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60837,f67101])).
% 58.13/9.50 tff(f60837,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2224(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43341])).
% 58.13/9.50 tff(f94070,plain,(
% 58.13/9.50 spl5880_2793),
% 58.13/9.50 inference(avatar_split_clause,[],[f75566,f94068])).
% 58.13/9.50 tff(f75566,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2225(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60833,f67101])).
% 58.13/9.50 tff(f60833,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2225(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43337])).
% 58.13/9.50 tff(f94065,plain,(
% 58.13/9.50 spl5880_2792),
% 58.13/9.50 inference(avatar_split_clause,[],[f75565,f94063])).
% 58.13/9.50 tff(f75565,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2226(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60829,f67101])).
% 58.13/9.50 tff(f60829,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2226(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43332])).
% 58.13/9.50 tff(f43332,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4669(X0,X1,X2),sK4670(X0,X1,X2),sK4671(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4669(X0,X1,X2),sK4670(X0,X1,X2),sK4671(X0,X1,X2)) = X2) | ~sP2226(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4669,sK4670,sK4671])],[f43330,f43331])).
% 58.13/9.50 tff(f43331,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4669(X0,X1,X2),sK4670(X0,X1,X2),sK4671(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4669(X0,X1,X2),sK4670(X0,X1,X2),sK4671(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43330,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2226(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43329])).
% 58.13/9.50 tff(f43329,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2226(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37527])).
% 58.13/9.50 tff(f37527,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2226(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2226])])).
% 58.13/9.50 tff(f94060,plain,(
% 58.13/9.50 spl5880_2791),
% 58.13/9.50 inference(avatar_split_clause,[],[f75562,f94058])).
% 58.13/9.50 tff(f75562,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2227(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60826,f67101])).
% 58.13/9.50 tff(f60826,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2227(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43328])).
% 58.13/9.50 tff(f43328,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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),sK4665(X0,X1,X2)),sK4666(X0,X1,X2))),zero_zero(nat),sK4667(X0,X1,X2),sK4668(X0,X1,X2))),X0))) & one_one(nat) = 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),sK4665(X0,X1,X2)),sK4666(X0,X1,X2))),zero_zero(nat),sK4667(X0,X1,X2),sK4668(X0,X1,X2)) = X2) | ~sP2227(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4665,sK4666,sK4667,sK4668])],[f43326,f43327])).
% 58.13/9.50 tff(f43327,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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),X3),X4)),zero_zero(nat),X5,X6)),X0))) & one_one(nat) = 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),X3),X4)),zero_zero(nat),X5,X6) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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),sK4665(X0,X1,X2)),sK4666(X0,X1,X2))),zero_zero(nat),sK4667(X0,X1,X2),sK4668(X0,X1,X2))),X0))) & one_one(nat) = 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),sK4665(X0,X1,X2)),sK4666(X0,X1,X2))),zero_zero(nat),sK4667(X0,X1,X2),sK4668(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43326,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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),X3),X4)),zero_zero(nat),X5,X6)),X0))) & one_one(nat) = 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),X3),X4)),zero_zero(nat),X5,X6) = X2) | ~sP2227(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43325])).
% 58.13/9.50 tff(f43325,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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)),zero_zero(nat),X15,X16)),X1))) & one_one(nat) = 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),X13),X14)),zero_zero(nat),X15,X16) = X0) | ~sP2227(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37528])).
% 58.13/9.50 tff(f37528,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_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)),zero_zero(nat),X15,X16)),X1))) & one_one(nat) = 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),X13),X14)),zero_zero(nat),X15,X16) = X0) | ~sP2227(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2227])])).
% 58.13/9.50 tff(f94055,plain,(
% 58.13/9.50 spl5880_2790),
% 58.13/9.50 inference(avatar_split_clause,[],[f75556,f94053])).
% 58.13/9.50 tff(f75556,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2228(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60823,f67101])).
% 58.13/9.50 tff(f60823,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2228(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43324])).
% 58.13/9.50 tff(f43324,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4661(X0,X1,X2)),sK4662(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)),sK4663(X0,X1,X2),sK4664(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4661(X0,X1,X2)),sK4662(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)),sK4663(X0,X1,X2),sK4664(X0,X1,X2)) = X2) | ~sP2228(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4661,sK4662,sK4663,sK4664])],[f43322,f43323])).
% 58.13/9.50 tff(f43323,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),aa(nat,nat,suc,zero_zero(nat)),X5,X6)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),aa(nat,nat,suc,zero_zero(nat)),X5,X6) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4661(X0,X1,X2)),sK4662(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)),sK4663(X0,X1,X2),sK4664(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK4661(X0,X1,X2)),sK4662(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)),sK4663(X0,X1,X2),sK4664(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43322,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),aa(nat,nat,suc,zero_zero(nat)),X5,X6)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),X4)),aa(nat,nat,suc,zero_zero(nat)),X5,X6) = X2) | ~sP2228(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43321])).
% 58.13/9.50 tff(f43321,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X17 : nat,X18 : nat,X19 : list(vEBT_VEBT),X20 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),aa(nat,nat,suc,zero_zero(nat)),X19,X20)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),aa(nat,nat,suc,zero_zero(nat)),X19,X20) = X0) | ~sP2228(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37529])).
% 58.13/9.50 tff(f37529,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X17 : nat,X18 : nat,X19 : list(vEBT_VEBT),X20 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8441311223069195367_e_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),aa(nat,nat,suc,zero_zero(nat)),X19,X20)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),aa(nat,nat,suc,zero_zero(nat)),X19,X20) = X0) | ~sP2228(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2228])])).
% 58.13/9.50 tff(f94050,plain,(
% 58.13/9.50 spl5880_2789),
% 58.13/9.50 inference(avatar_split_clause,[],[f75536,f94048])).
% 58.13/9.50 tff(f75536,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2218(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60816,f67338])).
% 58.13/9.50 tff(f60816,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2218(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43316])).
% 58.13/9.50 tff(f94045,plain,(
% 58.13/9.50 spl5880_2788),
% 58.13/9.50 inference(avatar_split_clause,[],[f75535,f94043])).
% 58.13/9.50 tff(f75535,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2218(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60817,f67101])).
% 58.13/9.50 tff(f60817,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2218(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43316])).
% 58.13/9.50 tff(f94040,plain,(
% 58.13/9.50 spl5880_2787),
% 58.13/9.50 inference(avatar_split_clause,[],[f75534,f94038])).
% 58.13/9.50 tff(f75534,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2219(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75533,f69743])).
% 58.13/9.50 tff(f75533,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2219(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60813,f67338])).
% 58.13/9.50 tff(f60813,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2219(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43312])).
% 58.13/9.50 tff(f94035,plain,(
% 58.13/9.50 spl5880_2786),
% 58.13/9.50 inference(avatar_split_clause,[],[f75532,f94033])).
% 58.13/9.50 tff(f75532,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2219(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60814,f67101])).
% 58.13/9.50 tff(f60814,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2219(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43312])).
% 58.13/9.50 tff(f94030,plain,(
% 58.13/9.50 spl5880_2785),
% 58.13/9.50 inference(avatar_split_clause,[],[f75531,f94028])).
% 58.13/9.50 tff(f75531,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2220(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60811,f67101])).
% 58.13/9.50 tff(f60811,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2220(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43308])).
% 58.13/9.50 tff(f94025,plain,(
% 58.13/9.50 spl5880_2784),
% 58.13/9.50 inference(avatar_split_clause,[],[f75500,f94023])).
% 58.13/9.50 tff(f75500,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2205(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60774,f67338])).
% 58.13/9.50 tff(f60774,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2205(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43257])).
% 58.13/9.50 tff(f94020,plain,(
% 58.13/9.50 spl5880_2783),
% 58.13/9.50 inference(avatar_split_clause,[],[f75499,f94018])).
% 58.13/9.50 tff(f75499,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2205(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60775,f67101])).
% 58.13/9.50 tff(f60775,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2205(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43257])).
% 58.13/9.50 tff(f94015,plain,(
% 58.13/9.50 spl5880_2782),
% 58.13/9.50 inference(avatar_split_clause,[],[f75497,f94013])).
% 58.13/9.50 tff(f75497,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2206(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75496,f69743])).
% 58.13/9.50 tff(f75496,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2206(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60770,f67338])).
% 58.13/9.50 tff(f60770,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2206(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43253])).
% 58.13/9.50 tff(f94010,plain,(
% 58.13/9.50 spl5880_2781),
% 58.13/9.50 inference(avatar_split_clause,[],[f75489,f94008])).
% 58.13/9.50 tff(f75489,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2208(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60763,f67101])).
% 58.13/9.50 tff(f60763,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2208(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43244])).
% 58.13/9.50 tff(f43244,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),sK4591(X0,X1,X2),sK4592(X0,X1,X2),sK4593(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4591(X0,X1,X2),sK4592(X0,X1,X2),sK4593(X0,X1,X2)) = X2) | ~sP2208(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4591,sK4592,sK4593])],[f43242,f43243])).
% 58.13/9.50 tff(f43243,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),sK4591(X0,X1,X2),sK4592(X0,X1,X2),sK4593(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4591(X0,X1,X2),sK4592(X0,X1,X2),sK4593(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43242,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2208(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43241])).
% 58.13/9.50 tff(f43241,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2208(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37505])).
% 58.13/9.50 tff(f37505,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2208(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2208])])).
% 58.13/9.50 tff(f94005,plain,(
% 58.13/9.50 spl5880_2780),
% 58.13/9.50 inference(avatar_split_clause,[],[f75487,f94003])).
% 58.13/9.50 tff(f75487,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2209(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60760,f67101])).
% 58.13/9.50 tff(f60760,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2209(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43240])).
% 58.13/9.50 tff(f43240,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4588(X0,X1,X2)),zero_zero(nat),sK4589(X0,X1,X2),sK4590(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4588(X0,X1,X2)),zero_zero(nat),sK4589(X0,X1,X2),sK4590(X0,X1,X2)) = X2) | ~sP2209(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4588,sK4589,sK4590])],[f43238,f43239])).
% 58.13/9.50 tff(f43239,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4588(X0,X1,X2)),zero_zero(nat),sK4589(X0,X1,X2),sK4590(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4588(X0,X1,X2)),zero_zero(nat),sK4589(X0,X1,X2),sK4590(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43238,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP2209(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43237])).
% 58.13/9.50 tff(f43237,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2209(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37506])).
% 58.13/9.50 tff(f37506,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2209(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2209])])).
% 58.13/9.50 tff(f94000,plain,(
% 58.13/9.50 spl5880_2779),
% 58.13/9.50 inference(avatar_split_clause,[],[f75483,f93998])).
% 58.13/9.50 tff(f75483,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2210(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60757,f67101])).
% 58.13/9.50 tff(f60757,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2210(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43236])).
% 58.13/9.50 tff(f43236,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),sK4585(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4586(X0,X1,X2),sK4587(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4585(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4586(X0,X1,X2),sK4587(X0,X1,X2)) = X2) | ~sP2210(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4585,sK4586,sK4587])],[f43234,f43235])).
% 58.13/9.50 tff(f43235,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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))) & one_one(nat) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),sK4585(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4586(X0,X1,X2),sK4587(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4585(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4586(X0,X1,X2),sK4587(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43234,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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))) & one_one(nat) = 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) | ~sP2210(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43233])).
% 58.13/9.50 tff(f43233,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2210(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37507])).
% 58.13/9.50 tff(f37507,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel2),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)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2210(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2210])])).
% 58.13/9.50 tff(f93995,plain,(
% 58.13/9.50 spl5880_2778),
% 58.13/9.50 inference(avatar_split_clause,[],[f75478,f93993])).
% 58.13/9.50 tff(f75478,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2199(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60750,f67338])).
% 58.13/9.50 tff(f60750,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2199(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43229])).
% 58.13/9.50 tff(f93990,plain,(
% 58.13/9.50 spl5880_2777),
% 58.13/9.50 inference(avatar_split_clause,[],[f75477,f93988])).
% 58.13/9.50 tff(f75477,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2199(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60751,f67101])).
% 58.13/9.50 tff(f60751,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2199(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43229])).
% 58.13/9.50 tff(f93985,plain,(
% 58.13/9.50 spl5880_2776),
% 58.13/9.50 inference(avatar_split_clause,[],[f75475,f93983])).
% 58.13/9.50 tff(f75475,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2200(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75474,f69743])).
% 58.13/9.50 tff(f75474,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2200(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60746,f67338])).
% 58.13/9.50 tff(f60746,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2200(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43225])).
% 58.13/9.50 tff(f93980,plain,(
% 58.13/9.50 spl5880_2775),
% 58.13/9.50 inference(avatar_split_clause,[],[f75473,f93978])).
% 58.13/9.50 tff(f75473,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2200(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60747,f67101])).
% 58.13/9.50 tff(f60747,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2200(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43225])).
% 58.13/9.50 tff(f93975,plain,(
% 58.13/9.50 spl5880_2774),
% 58.13/9.50 inference(avatar_split_clause,[],[f75470,f93973])).
% 58.13/9.50 tff(f75470,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2201(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60743,f67101])).
% 58.13/9.50 tff(f60743,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2201(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43221])).
% 58.13/9.50 tff(f93970,plain,(
% 58.13/9.50 spl5880_2773),
% 58.13/9.50 inference(avatar_split_clause,[],[f75469,f93968])).
% 58.13/9.50 tff(f75469,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2202(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60739,f67101])).
% 58.13/9.50 tff(f60739,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2202(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43216])).
% 58.13/9.50 tff(f43216,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4570(X0,X1,X2),sK4571(X0,X1,X2),sK4572(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4570(X0,X1,X2),sK4571(X0,X1,X2),sK4572(X0,X1,X2)) = X2) | ~sP2202(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4570,sK4571,sK4572])],[f43214,f43215])).
% 58.13/9.50 tff(f43215,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4570(X0,X1,X2),sK4571(X0,X1,X2),sK4572(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4570(X0,X1,X2),sK4571(X0,X1,X2),sK4572(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43214,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2202(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43213])).
% 58.13/9.50 tff(f43213,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2202(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37498])).
% 58.13/9.50 tff(f37498,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP2202(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2202])])).
% 58.13/9.50 tff(f93965,plain,(
% 58.13/9.50 spl5880_2772),
% 58.13/9.50 inference(avatar_split_clause,[],[f75467,f93963])).
% 58.13/9.50 tff(f75467,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2203(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60736,f67101])).
% 58.13/9.50 tff(f60736,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2203(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43212])).
% 58.13/9.50 tff(f43212,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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)),sK4567(X0,X1,X2)),zero_zero(nat),sK4568(X0,X1,X2),sK4569(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4567(X0,X1,X2)),zero_zero(nat),sK4568(X0,X1,X2),sK4569(X0,X1,X2)) = X2) | ~sP2203(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4567,sK4568,sK4569])],[f43210,f43211])).
% 58.13/9.50 tff(f43211,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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))) & one_one(nat) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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)),sK4567(X0,X1,X2)),zero_zero(nat),sK4568(X0,X1,X2),sK4569(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4567(X0,X1,X2)),zero_zero(nat),sK4568(X0,X1,X2),sK4569(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43210,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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))) & one_one(nat) = 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) | ~sP2203(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43209])).
% 58.13/9.50 tff(f43209,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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)),X13),zero_zero(nat),X14,X15)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2203(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37499])).
% 58.13/9.50 tff(f37499,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_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)),X13),zero_zero(nat),X14,X15)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2203(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2203])])).
% 58.13/9.50 tff(f93960,plain,(
% 58.13/9.50 spl5880_2771),
% 58.13/9.50 inference(avatar_split_clause,[],[f75463,f93958])).
% 58.13/9.50 tff(f75463,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2204(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60733,f67101])).
% 58.13/9.50 tff(f60733,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2204(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43208])).
% 58.13/9.50 tff(f43208,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4564(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4565(X0,X1,X2),sK4566(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4564(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4565(X0,X1,X2),sK4566(X0,X1,X2)) = X2) | ~sP2204(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4564,sK4565,sK4566])],[f43206,f43207])).
% 58.13/9.50 tff(f43207,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4564(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4565(X0,X1,X2),sK4566(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4564(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4565(X0,X1,X2),sK4566(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43206,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2204(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43205])).
% 58.13/9.50 tff(f43205,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2204(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37500])).
% 58.13/9.50 tff(f37500,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X16 : product_prod(nat,nat),X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_p_r_e_d_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X16),aa(nat,nat,suc,zero_zero(nat)),X17,X18) = X0) | ~sP2204(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2204])])).
% 58.13/9.50 tff(f93955,plain,(
% 58.13/9.50 spl5880_2770),
% 58.13/9.50 inference(avatar_split_clause,[],[f75449,f93953])).
% 58.13/9.50 tff(f75449,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2196(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60724,f67101])).
% 58.13/9.50 tff(f60724,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2196(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43197])).
% 58.13/9.50 tff(f43197,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(sK4554(X0,X1,X2),zero_zero(nat),sK4555(X0,X1,X2),sK4556(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4554(X0,X1,X2),zero_zero(nat),sK4555(X0,X1,X2),sK4556(X0,X1,X2)) = X2) | ~sP2196(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4554,sK4555,sK4556])],[f43195,f43196])).
% 58.13/9.50 tff(f43196,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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))) & one_one(nat) = X1 & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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(sK4554(X0,X1,X2),zero_zero(nat),sK4555(X0,X1,X2),sK4556(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4554(X0,X1,X2),zero_zero(nat),sK4555(X0,X1,X2),sK4556(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43195,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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))) & one_one(nat) = X1 & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) | ~sP2196(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43194])).
% 58.13/9.50 tff(f43194,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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))) & one_one(nat) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2196(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37491])).
% 58.13/9.50 tff(f37491,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_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))) & one_one(nat) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2196(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2196])])).
% 58.13/9.50 tff(f93950,plain,(
% 58.13/9.50 spl5880_2769),
% 58.13/9.50 inference(avatar_split_clause,[],[f75445,f93948])).
% 58.13/9.50 tff(f75445,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2197(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60721,f67101])).
% 58.13/9.50 tff(f60721,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2197(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43193])).
% 58.13/9.50 tff(f43193,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK4551(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4552(X0,X1,X2),sK4553(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4551(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4552(X0,X1,X2),sK4553(X0,X1,X2)) = X2) | ~sP2197(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4551,sK4552,sK4553])],[f43191,f43192])).
% 58.13/9.50 tff(f43192,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK4551(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4552(X0,X1,X2),sK4553(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4551(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4552(X0,X1,X2),sK4553(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43191,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2197(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43190])).
% 58.13/9.50 tff(f43190,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2197(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37492])).
% 58.13/9.50 tff(f37492,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T9217963907923527482_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2197(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2197])])).
% 58.13/9.50 tff(f93945,plain,(
% 58.13/9.50 spl5880_2768),
% 58.13/9.50 inference(avatar_split_clause,[],[f75429,f93943])).
% 58.13/9.50 tff(f75429,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2190(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60711,f67338])).
% 58.13/9.50 tff(f60711,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2190(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43181])).
% 58.13/9.50 tff(f93940,plain,(
% 58.13/9.50 spl5880_2767),
% 58.13/9.50 inference(avatar_split_clause,[],[f75428,f93938])).
% 58.13/9.50 tff(f75428,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2190(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60712,f67101])).
% 58.13/9.50 tff(f60712,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2190(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43181])).
% 58.13/9.50 tff(f93935,plain,(
% 58.13/9.50 spl5880_2766),
% 58.13/9.50 inference(avatar_split_clause,[],[f75427,f93933])).
% 58.13/9.50 tff(f75427,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2191(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75426,f69743])).
% 58.13/9.50 tff(f75426,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2191(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60708,f67338])).
% 58.13/9.50 tff(f60708,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2191(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43177])).
% 58.13/9.50 tff(f93930,plain,(
% 58.13/9.50 spl5880_2765),
% 58.13/9.50 inference(avatar_split_clause,[],[f75410,f93928])).
% 58.13/9.50 tff(f75410,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2185(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60694,f67338])).
% 58.13/9.50 tff(f60694,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2185(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43156])).
% 58.13/9.50 tff(f93925,plain,(
% 58.13/9.50 spl5880_2764),
% 58.13/9.50 inference(avatar_split_clause,[],[f75409,f93923])).
% 58.13/9.50 tff(f75409,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2185(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60695,f67101])).
% 58.13/9.50 tff(f60695,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2185(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43156])).
% 58.13/9.50 tff(f93920,plain,(
% 58.13/9.50 spl5880_2763),
% 58.13/9.50 inference(avatar_split_clause,[],[f75408,f93918])).
% 58.13/9.50 tff(f75408,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2186(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f75407,f69743])).
% 58.13/9.50 tff(f75407,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2186(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60691,f67338])).
% 58.13/9.50 tff(f60691,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2186(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43152])).
% 58.13/9.50 tff(f93915,plain,(
% 58.13/9.50 spl5880_2762),
% 58.13/9.50 inference(avatar_split_clause,[],[f75406,f93913])).
% 58.13/9.50 tff(f75406,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2186(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60692,f67101])).
% 58.13/9.50 tff(f60692,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2186(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43152])).
% 58.13/9.50 tff(f93910,plain,(
% 58.13/9.50 spl5880_2761),
% 58.13/9.50 inference(avatar_split_clause,[],[f75405,f93908])).
% 58.13/9.50 tff(f75405,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2187(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60689,f67101])).
% 58.13/9.50 tff(f60689,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2187(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43148])).
% 58.13/9.50 tff(f93905,plain,(
% 58.13/9.50 spl5880_2760),
% 58.13/9.50 inference(avatar_split_clause,[],[f75374,f93903])).
% 58.13/9.50 tff(f75374,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2177(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60667,f67338])).
% 58.13/9.50 tff(f60667,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2177(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43116])).
% 58.13/9.50 tff(f93900,plain,(
% 58.13/9.50 spl5880_2759),
% 58.13/9.50 inference(avatar_split_clause,[],[f75370,f93898])).
% 58.13/9.50 tff(f75370,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2178(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60664,f67101])).
% 58.13/9.50 tff(f60664,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2178(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43112])).
% 58.13/9.50 tff(f93895,plain,(
% 58.13/9.50 spl5880_2758),
% 58.13/9.50 inference(avatar_split_clause,[],[f75369,f93893])).
% 58.13/9.50 tff(f75369,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2179(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60660,f67101])).
% 58.13/9.50 tff(f60660,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2179(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43107])).
% 58.13/9.50 tff(f43107,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),sK4477(X0,X1,X2),sK4478(X0,X1,X2),sK4479(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4477(X0,X1,X2),sK4478(X0,X1,X2),sK4479(X0,X1,X2)) = X2) | ~sP2179(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4477,sK4478,sK4479])],[f43105,f43106])).
% 58.13/9.50 tff(f43106,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),sK4477(X0,X1,X2),sK4478(X0,X1,X2),sK4479(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4477(X0,X1,X2),sK4478(X0,X1,X2),sK4479(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43105,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2179(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43104])).
% 58.13/9.50 tff(f43104,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),X8,X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2179(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37470])).
% 58.13/9.50 tff(f37470,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),X8,X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2179(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2179])])).
% 58.13/9.50 tff(f93890,plain,(
% 58.13/9.50 spl5880_2757),
% 58.13/9.50 inference(avatar_split_clause,[],[f75367,f93888])).
% 58.13/9.50 tff(f75367,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2180(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60657,f67101])).
% 58.13/9.50 tff(f60657,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2180(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43103])).
% 58.13/9.50 tff(f43103,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4474(X0,X1,X2)),zero_zero(nat),sK4475(X0,X1,X2),sK4476(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4474(X0,X1,X2)),zero_zero(nat),sK4475(X0,X1,X2),sK4476(X0,X1,X2)) = X2) | ~sP2180(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4474,sK4475,sK4476])],[f43101,f43102])).
% 58.13/9.50 tff(f43102,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4474(X0,X1,X2)),zero_zero(nat),sK4475(X0,X1,X2),sK4476(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4474(X0,X1,X2)),zero_zero(nat),sK4475(X0,X1,X2),sK4476(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43101,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP2180(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43100])).
% 58.13/9.50 tff(f43100,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2180(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37471])).
% 58.13/9.50 tff(f37471,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2180(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2180])])).
% 58.13/9.50 tff(f93885,plain,(
% 58.13/9.50 spl5880_2756),
% 58.13/9.50 inference(avatar_split_clause,[],[f75363,f93883])).
% 58.13/9.50 tff(f75363,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2181(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60654,f67101])).
% 58.13/9.50 tff(f60654,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2181(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43099])).
% 58.13/9.50 tff(f43099,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),sK4471(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4472(X0,X1,X2),sK4473(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4471(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4472(X0,X1,X2),sK4473(X0,X1,X2)) = X2) | ~sP2181(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4471,sK4472,sK4473])],[f43097,f43098])).
% 58.13/9.50 tff(f43098,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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))) & one_one(nat) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),sK4471(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4472(X0,X1,X2),sK4473(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4471(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4472(X0,X1,X2),sK4473(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43097,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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))) & one_one(nat) = 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) | ~sP2181(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43096])).
% 58.13/9.50 tff(f43096,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2181(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37472])).
% 58.13/9.50 tff(f37472,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel2),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)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2181(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2181])])).
% 58.13/9.50 tff(f93880,plain,(
% 58.13/9.50 spl5880_2755),
% 58.13/9.50 inference(avatar_split_clause,[],[f75358,f93878])).
% 58.13/9.50 tff(f75358,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2172(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60647,f67338])).
% 58.13/9.50 tff(f60647,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2172(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43092])).
% 58.13/9.50 tff(f93875,plain,(
% 58.13/9.50 spl5880_2754),
% 58.13/9.50 inference(avatar_split_clause,[],[f75357,f93873])).
% 58.13/9.50 tff(f75357,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2172(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60648,f67101])).
% 58.13/9.50 tff(f60648,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2172(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43092])).
% 58.13/9.50 tff(f93870,plain,(
% 58.13/9.50 spl5880_2753),
% 58.13/9.50 inference(avatar_split_clause,[],[f75355,f93868])).
% 58.13/9.50 tff(f75355,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2173(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60644,f67101])).
% 58.13/9.50 tff(f60644,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2173(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43088])).
% 58.13/9.50 tff(f93865,plain,(
% 58.13/9.50 spl5880_2752),
% 58.13/9.50 inference(avatar_split_clause,[],[f75354,f93863])).
% 58.13/9.50 tff(f75354,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2174(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60640,f67101])).
% 58.13/9.50 tff(f60640,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2174(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43083])).
% 58.13/9.50 tff(f43083,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),sK4458(X0,X1,X2),sK4459(X0,X1,X2),sK4460(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4458(X0,X1,X2),sK4459(X0,X1,X2),sK4460(X0,X1,X2)) = X2) | ~sP2174(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4458,sK4459,sK4460])],[f43081,f43082])).
% 58.13/9.50 tff(f43082,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),sK4458(X0,X1,X2),sK4459(X0,X1,X2),sK4460(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4458(X0,X1,X2),sK4459(X0,X1,X2),sK4460(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43081,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2174(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43080])).
% 58.13/9.50 tff(f43080,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),X8,X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2174(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37464])).
% 58.13/9.50 tff(f37464,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),X8,X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP2174(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2174])])).
% 58.13/9.50 tff(f93860,plain,(
% 58.13/9.50 spl5880_2751),
% 58.13/9.50 inference(avatar_split_clause,[],[f75352,f93858])).
% 58.13/9.50 tff(f75352,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2175(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60637,f67101])).
% 58.13/9.50 tff(f60637,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2175(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43079])).
% 58.13/9.50 tff(f43079,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4455(X0,X1,X2)),zero_zero(nat),sK4456(X0,X1,X2),sK4457(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4455(X0,X1,X2)),zero_zero(nat),sK4456(X0,X1,X2),sK4457(X0,X1,X2)) = X2) | ~sP2175(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4455,sK4456,sK4457])],[f43077,f43078])).
% 58.13/9.50 tff(f43078,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4455(X0,X1,X2)),zero_zero(nat),sK4456(X0,X1,X2),sK4457(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4455(X0,X1,X2)),zero_zero(nat),sK4456(X0,X1,X2),sK4457(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43077,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP2175(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43076])).
% 58.13/9.50 tff(f43076,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2175(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37465])).
% 58.13/9.50 tff(f37465,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2175(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2175])])).
% 58.13/9.50 tff(f93855,plain,(
% 58.13/9.50 spl5880_2750),
% 58.13/9.50 inference(avatar_split_clause,[],[f75348,f93853])).
% 58.13/9.50 tff(f75348,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2176(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60634,f67101])).
% 58.13/9.50 tff(f60634,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2176(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43075])).
% 58.13/9.50 tff(f43075,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),sK4452(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4453(X0,X1,X2),sK4454(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4452(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4453(X0,X1,X2),sK4454(X0,X1,X2)) = X2) | ~sP2176(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4452,sK4453,sK4454])],[f43073,f43074])).
% 58.13/9.50 tff(f43074,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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))) & one_one(nat) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),sK4452(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4453(X0,X1,X2),sK4454(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4452(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4453(X0,X1,X2),sK4454(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43073,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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))) & one_one(nat) = 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) | ~sP2176(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43072])).
% 58.13/9.50 tff(f43072,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2176(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37466])).
% 58.13/9.50 tff(f37466,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X14 : product_prod(nat,nat),X15 : list(vEBT_VEBT),X16 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T_s_u_c_c_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)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X14),aa(nat,nat,suc,zero_zero(nat)),X15,X16) = X0) | ~sP2176(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2176])])).
% 58.13/9.50 tff(f93850,plain,(
% 58.13/9.50 spl5880_2749),
% 58.13/9.50 inference(avatar_split_clause,[],[f75343,f93848])).
% 58.13/9.50 tff(f75343,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2168(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60628,f67101])).
% 58.13/9.50 tff(f60628,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2168(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43068])).
% 58.13/9.50 tff(f93845,plain,(
% 58.13/9.50 spl5880_2748),
% 58.13/9.50 inference(avatar_split_clause,[],[f75341,f93843])).
% 58.13/9.50 tff(f75341,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2169(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60625,f67101])).
% 58.13/9.50 tff(f60625,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2169(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43064])).
% 58.13/9.50 tff(f43064,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(sK4442(X0,X1,X2),zero_zero(nat),sK4443(X0,X1,X2),sK4444(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4442(X0,X1,X2),zero_zero(nat),sK4443(X0,X1,X2),sK4444(X0,X1,X2)) = X2) | ~sP2169(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4442,sK4443,sK4444])],[f43062,f43063])).
% 58.13/9.50 tff(f43063,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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))) & one_one(nat) = X1 & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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(sK4442(X0,X1,X2),zero_zero(nat),sK4443(X0,X1,X2),sK4444(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4442(X0,X1,X2),zero_zero(nat),sK4443(X0,X1,X2),sK4444(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43062,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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))) & one_one(nat) = X1 & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) | ~sP2169(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43061])).
% 58.13/9.50 tff(f43061,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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))) & one_one(nat) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2169(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37458])).
% 58.13/9.50 tff(f37458,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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))) & one_one(nat) = X2 & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2169(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2169])])).
% 58.13/9.50 tff(f93840,plain,(
% 58.13/9.50 spl5880_2747),
% 58.13/9.50 inference(avatar_split_clause,[],[f75337,f93838])).
% 58.13/9.50 tff(f75337,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2170(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60622,f67101])).
% 58.13/9.50 tff(f60622,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2170(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43060])).
% 58.13/9.50 tff(f43060,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK4439(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4440(X0,X1,X2),sK4441(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4439(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4440(X0,X1,X2),sK4441(X0,X1,X2)) = X2) | ~sP2170(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4439,sK4440,sK4441])],[f43058,f43059])).
% 58.13/9.50 tff(f43059,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK4439(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4440(X0,X1,X2),sK4441(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(sK4439(X0,X1,X2),aa(nat,nat,suc,zero_zero(nat)),sK4440(X0,X1,X2),sK4441(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43058,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(X3,aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2170(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43057])).
% 58.13/9.50 tff(f43057,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2170(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37459])).
% 58.13/9.50 tff(f37459,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10)),X1))) & one_one(nat) = X2 & vEBT_Node(X8,aa(nat,nat,suc,zero_zero(nat)),X9,X10) = X0) | ~sP2170(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2170])])).
% 58.13/9.50 tff(f93835,plain,(
% 58.13/9.50 spl5880_2746),
% 58.13/9.50 inference(avatar_split_clause,[],[f75334,f93833])).
% 58.13/9.50 tff(f75334,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2171(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60619,f67101])).
% 58.13/9.50 tff(f60619,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2171(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43056])).
% 58.13/9.50 tff(f43056,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,sK4436(X0,X1,X2))),sK4437(X0,X1,X2),sK4438(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK4436(X0,X1,X2))),sK4437(X0,X1,X2),sK4438(X0,X1,X2)) = X2) | ~sP2171(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4436,sK4437,sK4438])],[f43054,f43055])).
% 58.13/9.50 tff(f43055,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,sK4436(X0,X1,X2))),sK4437(X0,X1,X2),sK4438(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK4436(X0,X1,X2))),sK4437(X0,X1,X2),sK4438(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43054,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X3)),X4,X5) = X2) | ~sP2171(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f43053])).
% 58.13/9.50 tff(f43053,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : nat,X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13) = X0) | ~sP2171(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37460])).
% 58.13/9.50 tff(f37460,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : nat,X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T5076183648494686801_t_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)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X11)),X12,X13) = X0) | ~sP2171(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2171])])).
% 58.13/9.50 tff(f93830,plain,(
% 58.13/9.50 spl5880_2745),
% 58.13/9.50 inference(avatar_split_clause,[],[f75321,f93828])).
% 58.13/9.50 tff(f75321,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2164(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60612,f67338])).
% 58.13/9.50 tff(f60612,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2164(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43048])).
% 58.13/9.50 tff(f93825,plain,(
% 58.13/9.50 spl5880_2744),
% 58.13/9.50 inference(avatar_split_clause,[],[f75318,f93823])).
% 58.13/9.50 tff(f75318,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2165(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60610,f67101])).
% 58.13/9.50 tff(f60610,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2165(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43044])).
% 58.13/9.50 tff(f93820,plain,(
% 58.13/9.50 spl5880_2743),
% 58.13/9.50 inference(avatar_split_clause,[],[f75306,f93818])).
% 58.13/9.50 tff(f75306,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG894($true) = X1 | ~sP2160(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60598,f67338])).
% 58.13/9.50 tff(f60598,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | ~sP2160(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43027])).
% 58.13/9.50 tff(f93815,plain,(
% 58.13/9.50 spl5880_2742),
% 58.13/9.50 inference(avatar_split_clause,[],[f75305,f93813])).
% 58.13/9.50 tff(f75305,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2160(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60599,f67101])).
% 58.13/9.50 tff(f60599,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2160(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43027])).
% 58.13/9.50 tff(f93810,plain,(
% 58.13/9.50 spl5880_2741),
% 58.13/9.50 inference(avatar_split_clause,[],[f75304,f93808])).
% 58.13/9.50 tff(f75304,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X0 | ~sP2161(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60596,f67101])).
% 58.13/9.50 tff(f60596,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X0 | ~sP2161(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43023])).
% 58.13/9.50 tff(f93805,plain,(
% 58.13/9.50 spl5880_2740),
% 58.13/9.50 inference(avatar_split_clause,[],[f75249,f93803])).
% 58.13/9.50 tff(f75249,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2146(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60550,f67101])).
% 58.13/9.50 tff(f60550,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2146(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42955])).
% 58.13/9.50 tff(f93800,plain,(
% 58.13/9.50 spl5880_2739),
% 58.13/9.50 inference(avatar_split_clause,[],[f75248,f93798])).
% 58.13/9.50 tff(f75248,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2147(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60547,f67101])).
% 58.13/9.50 tff(f60547,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2147(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42951])).
% 58.13/9.50 tff(f42951,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4340(X0,X1,X2),sK4341(X0,X1,X2),sK4342(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4340(X0,X1,X2),sK4341(X0,X1,X2),sK4342(X0,X1,X2)) = X2) | ~sP2147(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4340,sK4341,sK4342])],[f42949,f42950])).
% 58.13/9.50 tff(f42950,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK4340(X0,X1,X2),sK4341(X0,X1,X2),sK4342(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),sK4340(X0,X1,X2),sK4341(X0,X1,X2),sK4342(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f42949,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2147(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f42948])).
% 58.13/9.50 tff(f42948,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2147(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37430])).
% 58.13/9.50 tff(f37430,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & one_one(nat) = X2 & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2147(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2147])])).
% 58.13/9.50 tff(f93795,plain,(
% 58.13/9.50 spl5880_2738),
% 58.13/9.50 inference(avatar_split_clause,[],[f75246,f93793])).
% 58.13/9.50 tff(f75246,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2148(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60544,f67101])).
% 58.13/9.50 tff(f60544,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2148(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42947])).
% 58.13/9.50 tff(f42947,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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)),sK4337(X0,X1,X2)),zero_zero(nat),sK4338(X0,X1,X2),sK4339(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4337(X0,X1,X2)),zero_zero(nat),sK4338(X0,X1,X2),sK4339(X0,X1,X2)) = X2) | ~sP2148(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4337,sK4338,sK4339])],[f42945,f42946])).
% 58.13/9.50 tff(f42946,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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))) & one_one(nat) = 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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)),sK4337(X0,X1,X2)),zero_zero(nat),sK4338(X0,X1,X2),sK4339(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4337(X0,X1,X2)),zero_zero(nat),sK4338(X0,X1,X2),sK4339(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f42945,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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))) & one_one(nat) = 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) | ~sP2148(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f42944])).
% 58.13/9.50 tff(f42944,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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))) & one_one(nat) = 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) | ~sP2148(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37431])).
% 58.13/9.50 tff(f37431,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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))) & one_one(nat) = 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) | ~sP2148(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2148])])).
% 58.13/9.50 tff(f93790,plain,(
% 58.13/9.50 spl5880_2737),
% 58.13/9.50 inference(avatar_split_clause,[],[f75242,f93788])).
% 58.13/9.50 tff(f75242,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1228($true) = X1 | ~sP2149(X0,X1,X2)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f60541,f67101])).
% 58.13/9.50 tff(f60541,plain,(
% 58.13/9.50 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : nat] : (one_one(nat) = X1 | ~sP2149(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42943])).
% 58.13/9.50 tff(f42943,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4334(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4335(X0,X1,X2),sK4336(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4334(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4335(X0,X1,X2),sK4336(X0,X1,X2)) = X2) | ~sP2149(X0,X1,X2))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4334,sK4335,sK4336])],[f42941,f42942])).
% 58.13/9.50 tff(f42942,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4334(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4335(X0,X1,X2),sK4336(X0,X1,X2))),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4334(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK4335(X0,X1,X2),sK4336(X0,X1,X2)) = X2))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f42941,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & one_one(nat) = X1 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP2149(X0,X1,X2))),
% 58.13/9.50 inference(rectify,[],[f42940])).
% 58.13/9.50 tff(f42940,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1))) & one_one(nat) = X2 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13) = X0) | ~sP2149(X1,X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37432])).
% 58.13/9.50 tff(f37432,plain,(
% 58.13/9.50 ! [X1 : nat,X2 : nat,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_T8099345112685741742_r_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))) & one_one(nat) = 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) | ~sP2149(X1,X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2149])])).
% 58.13/9.50 tff(f93785,plain,(
% 58.13/9.50 spl5880_2736),
% 58.13/9.50 inference(avatar_split_clause,[],[f75105,f93783])).
% 58.13/9.50 tff(f75105,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1826(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f66259,f65062])).
% 58.13/9.50 tff(f66259,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(lG1832(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.13/9.50 inference(definition_unfolding,[],[f60372,f46124])).
% 58.13/9.50 tff(f60372,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f35007])).
% 58.13/9.50 tff(f35007,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.13/9.50 inference(ennf_transformation,[],[f26506])).
% 58.13/9.50 tff(f26506,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1))),
% 58.13/9.50 inference(rectify,[],[f1])).
% 58.13/9.50 tff(f1,axiom,(
% 58.13/9.50 ! [X7 : vEBT_VEBT,X8 : nat,X9 : nat] : (vEBT_invar_vebt(X7,X8) => vEBT_invar_vebt(vEBT_vebt_delete(X7,X9),X8))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_delete__pres__valid)).
% 58.13/9.50 tff(f93780,plain,(
% 58.13/9.50 spl5880_2735),
% 58.13/9.50 inference(avatar_split_clause,[],[f74306,f93778])).
% 58.13/9.50 tff(f74306,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (nil(nat) = iG638(iG894($true),X0)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68333,f67338])).
% 58.13/9.50 tff(f68333,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (nil(nat) = iG638(zero_zero(nat),X0)) )),
% 58.13/9.50 inference(equality_resolution,[],[f66182])).
% 58.13/9.50 tff(f66182,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : nat] : (nil(nat) = iG638(X1,X0) | zero_zero(nat) != X1) )),
% 58.13/9.50 inference(definition_unfolding,[],[f59431,f57184])).
% 58.13/9.50 tff(f59431,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : nat] : (nil(nat) = upt(X0,X1) | zero_zero(nat) != X1) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42413])).
% 58.13/9.50 tff(f42413,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : ((nil(nat) = upt(X0,X1) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) & zero_zero(nat) != X1)) & (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1 | nil(nat) != upt(X0,X1)))),
% 58.13/9.50 inference(flattening,[],[f42412])).
% 58.13/9.50 tff(f42412,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : ((nil(nat) = upt(X0,X1) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) & zero_zero(nat) != X1)) & ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1) | nil(nat) != upt(X0,X1)))),
% 58.13/9.50 inference(nnf_transformation,[],[f16595])).
% 58.13/9.50 tff(f16595,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : (nil(nat) = upt(X0,X1) <=> (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1))),
% 58.13/9.50 inference(fool_elimination,[],[f16594])).
% 58.13/9.50 tff(f16594,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : (nil(nat) = upt(X0,X1) <=> (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0) | zero_zero(nat) = X1))),
% 58.13/9.50 inference(rectify,[],[f7880])).
% 58.13/9.50 tff(f7880,axiom,(
% 58.13/9.50 ! [X25 : nat,X40 : nat] : (nil(nat) = upt(X25,X40) <=> (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X40),X25) | zero_zero(nat) = X40))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7879_upt__eq__Nil__conv)).
% 58.13/9.50 tff(f93775,plain,(
% 58.13/9.50 spl5880_2734),
% 58.13/9.50 inference(avatar_split_clause,[],[f74137,f93773])).
% 58.13/9.50 tff(f74137,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o] : (sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f74136,f69743])).
% 58.13/9.50 tff(f74136,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o] : (sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),aa(nat,nat,suc,iG894($true)))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68288,f67338])).
% 58.13/9.50 tff(f68288,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o] : (sP2108(vEBT_Leaf(bG981(X2),bG982(X3)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.13/9.50 inference(equality_resolution,[],[f68287])).
% 58.13/9.50 tff(f68287,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o,X0 : vEBT_VEBT] : (sP2108(X0,aa(nat,nat,suc,zero_zero(nat))) | vEBT_Leaf(bG981(X2),bG982(X3)) != X0) )),
% 58.13/9.50 inference(equality_resolution,[],[f59300])).
% 58.13/9.50 tff(f59300,plain,(
% 58.13/9.50 ( ! [X2 : $o,X3 : $o,X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X1 | vEBT_Leaf(bG981(X2),bG982(X3)) != X0) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42312])).
% 58.13/9.50 tff(f42312,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP2108(X0,X1) | (~sP2107(X1,X0) & ~sP2106(X1,X0) & ~sP2105(X1,X0) & ~sP2104(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : $o,X3 : $o] : vEBT_Leaf(bG981(X2),bG982(X3)) != X0))) & (sP2107(X1,X0) | sP2106(X1,X0) | sP2105(X1,X0) | sP2104(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(bG981(sK4137(X0)),bG982(sK4138(X0))) = X0) | ~sP2108(X0,X1)))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4137,sK4138])],[f42310,f42311])).
% 58.13/9.50 tff(f42311,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT] : (? [X4 : $o,X5 : $o] : vEBT_Leaf(bG981(X4),bG982(X5)) = X0 => vEBT_Leaf(bG981(sK4137(X0)),bG982(sK4138(X0))) = X0)),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f42310,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP2108(X0,X1) | (~sP2107(X1,X0) & ~sP2106(X1,X0) & ~sP2105(X1,X0) & ~sP2104(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : $o,X3 : $o] : vEBT_Leaf(bG981(X2),bG982(X3)) != X0))) & (sP2107(X1,X0) | sP2106(X1,X0) | sP2105(X1,X0) | sP2104(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : $o,X5 : $o] : vEBT_Leaf(bG981(X4),bG982(X5)) = X0) | ~sP2108(X0,X1)))),
% 58.13/9.50 inference(rectify,[],[f42309])).
% 58.13/9.50 tff(f42309,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP2108(X0,X1) | (~sP2107(X1,X0) & ~sP2106(X1,X0) & ~sP2105(X1,X0) & ~sP2104(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) != X0))) & (sP2107(X1,X0) | sP2106(X1,X0) | sP2105(X1,X0) | sP2104(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0) | ~sP2108(X0,X1)))),
% 58.13/9.50 inference(flattening,[],[f42308])).
% 58.13/9.50 tff(f42308,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP2108(X0,X1) | (~sP2107(X1,X0) & ~sP2106(X1,X0) & ~sP2105(X1,X0) & ~sP2104(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) != X0))) & ((sP2107(X1,X0) | sP2106(X1,X0) | sP2105(X1,X0) | sP2104(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0)) | ~sP2108(X0,X1)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37367])).
% 58.13/9.50 tff(f37367,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) <=> (sP2107(X1,X0) | sP2106(X1,X0) | sP2105(X1,X0) | sP2104(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0)))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2108])])).
% 58.13/9.50 tff(f93769,plain,(
% 58.13/9.50 spl5880_2733),
% 58.13/9.50 inference(avatar_split_clause,[],[f73472,f93767])).
% 58.13/9.50 tff(f73472,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2084(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58773,f69846])).
% 58.13/9.50 tff(f58773,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($false,$false) = X1 | ~sP2084(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42061])).
% 58.13/9.50 tff(f93763,plain,(
% 58.13/9.50 spl5880_2732),
% 58.13/9.50 inference(avatar_split_clause,[],[f73470,f93761])).
% 58.13/9.50 tff(f73470,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2081(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58753,f69846])).
% 58.13/9.50 tff(f58753,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (vEBT_Leaf($false,$false) = X1 | ~sP2081(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42037])).
% 58.13/9.50 tff(f42037,plain,(
% 58.13/9.50 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = X0) & vEBT_Leaf($false,$false) = X1) | ~sP2081(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f42036])).
% 58.13/9.50 tff(f42036,plain,(
% 58.13/9.50 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true = X1) & vEBT_Leaf($false,$false) = X0) | ~sP2081(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37333])).
% 58.13/9.50 tff(f37333,plain,(
% 58.13/9.50 ! [X1 : $o,X0 : vEBT_VEBT] : ((($true = X1) & vEBT_Leaf($false,$false) = X0) | ~sP2081(X1,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2081])])).
% 58.13/9.50 tff(f93757,plain,(
% 58.13/9.50 spl5880_2731),
% 58.13/9.50 inference(avatar_split_clause,[],[f73254,f93755])).
% 58.13/9.50 tff(f73254,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2052(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58183,f69846])).
% 58.13/9.50 tff(f58183,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,$false) = X0 | ~sP2052(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41666])).
% 58.13/9.50 tff(f93751,plain,(
% 58.13/9.50 spl5880_2730),
% 58.13/9.50 inference(avatar_split_clause,[],[f73250,f93749])).
% 58.13/9.50 tff(f73250,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2053(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58180,f69846])).
% 58.13/9.50 tff(f58180,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,$false) = X0 | ~sP2053(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41664])).
% 58.13/9.50 tff(f93745,plain,(
% 58.13/9.50 spl5880_2729),
% 58.13/9.50 inference(avatar_split_clause,[],[f73240,f93743])).
% 58.13/9.50 tff(f73240,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(iG894($true)) = X0 | ~sP2051(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58174,f69846])).
% 58.13/9.50 tff(f58174,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf($false,$false) = X0 | ~sP2051(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41660])).
% 58.13/9.50 tff(f41660,plain,(
% 58.13/9.50 ! [X0 : vEBT_VEBT,X1 : nat] : ((vEBT_Leaf($false,$false) = X0 & zero_zero(nat) = X1) | ~sP2051(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f41659])).
% 58.13/9.50 tff(f41659,plain,(
% 58.13/9.50 ! [X1 : vEBT_VEBT,X0 : nat] : ((vEBT_Leaf($false,$false) = X1 & zero_zero(nat) = X0) | ~sP2051(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37283])).
% 58.13/9.50 tff(f93739,plain,(
% 58.13/9.50 spl5880_2728),
% 58.13/9.50 inference(avatar_split_clause,[],[f73238,f93737])).
% 58.13/9.50 tff(f73238,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2047(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58167,f69846])).
% 58.13/9.50 tff(f58167,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($false,$false) = X1 | ~sP2047(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41655])).
% 58.13/9.50 tff(f93733,plain,(
% 58.13/9.50 spl5880_2727),
% 58.13/9.50 inference(avatar_split_clause,[],[f73229,f93731])).
% 58.13/9.50 tff(f73229,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(iG894($true)) = X1 | ~sP2044(X0,X1)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f58152,f69846])).
% 58.13/9.50 tff(f58152,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf($false,$false) = X1 | ~sP2044(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41637])).
% 58.13/9.50 tff(f41637,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Leaf($false,$false) = X1) | ~sP2044(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f41636])).
% 58.13/9.50 tff(f41636,plain,(
% 58.13/9.50 ! [X1 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X1 & vEBT_Leaf($false,$false) = X0) | ~sP2044(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37274])).
% 58.13/9.50 tff(f93727,plain,(
% 58.13/9.50 spl5880_2726),
% 58.13/9.50 inference(avatar_split_clause,[],[f73010,f93725])).
% 58.13/9.50 tff(f73010,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_valid(X0,iG1228($true)) | sP2017(iG1228($true),X0)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f73009,f67101])).
% 58.13/9.50 tff(f73009,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (sP2017(iG1228($true),X0) | vEBT_VEBT_valid(X0,one_one(nat))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68150,f67101])).
% 58.13/9.50 tff(f68150,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT] : (sP2017(one_one(nat),X0) | vEBT_VEBT_valid(X0,one_one(nat))) )),
% 58.13/9.50 inference(equality_resolution,[],[f57915])).
% 58.13/9.50 tff(f57915,plain,(
% 58.13/9.50 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2017(X1,X0) | one_one(nat) != X1 | vEBT_VEBT_valid(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41430])).
% 58.13/9.50 tff(f93722,plain,(
% 58.13/9.50 spl5880_2725),
% 58.13/9.50 inference(avatar_split_clause,[],[f72962,f93720])).
% 58.13/9.50 tff(f72962,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f72961,f69743])).
% 58.13/9.50 tff(f72961,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),aa(nat,nat,suc,iG894($true)))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f57256,f67338])).
% 58.13/9.50 tff(f57256,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f14882])).
% 58.13/9.50 tff(f14882,plain,(
% 58.13/9.50 ! [X0 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(bG762(X0),bG763(X1)),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.50 inference(fool_elimination,[],[f14879,f14881,f14880])).
% 58.13/9.50 tff(f14880,plain,(
% 58.13/9.50 ! [X0 : $o] : (($true = X0) <=> ($true = bG762(X0)))),
% 58.13/9.50 introduced(fool_formula_definition,[new_symbols(definition,[bG762])])).
% 58.13/9.50 tff(f14881,plain,(
% 58.13/9.50 ! [X1 : $o] : (($true = X1) <=> ($true = bG763(X1)))),
% 58.13/9.50 introduced(fool_formula_definition,[new_symbols(definition,[bG763])])).
% 58.13/9.50 tff(f14879,plain,(
% 58.13/9.50 ! [X0 : $o,X1 : $o] : vEBT_invar_vebt(vEBT_Leaf(X0,X1),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.50 inference(rectify,[],[f1053])).
% 58.13/9.50 tff(f1053,axiom,(
% 58.13/9.50 ! [X11 : $o,X12 : $o] : vEBT_invar_vebt(vEBT_Leaf(X11,X12),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1052_invar__vebt_Ointros_I1_J)).
% 58.13/9.50 tff(f93717,plain,(
% 58.13/9.50 spl5880_2724),
% 58.13/9.50 inference(avatar_split_clause,[],[f72267,f93715])).
% 58.13/9.50 tff(f72267,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : fun(X0,nat)] : (size_option(X0,X1,none(X0)) = iG1228($true)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f72266,f69743])).
% 58.13/9.50 tff(f72266,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : fun(X0,nat)] : (size_option(X0,X1,none(X0)) = aa(nat,nat,suc,iG894($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f56721,f67338])).
% 58.13/9.50 tff(f56721,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : fun(X0,nat)] : (aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X1,none(X0))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f25274])).
% 58.13/9.50 tff(f25274,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : fun(X0,nat)] : aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X1,none(X0))),
% 58.13/9.50 inference(rectify,[],[f2300])).
% 58.13/9.50 tff(f2300,axiom,(
% 58.13/9.50 ! [X0 : $tType,X9 : fun(X0,nat)] : aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X9,none(X0))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2299_option_Osize__gen_I1_J)).
% 58.13/9.50 tff(f93712,plain,(
% 58.13/9.50 spl5880_2723),
% 58.13/9.50 inference(avatar_split_clause,[],[f71964,f93710])).
% 58.13/9.50 tff(f71964,plain,(
% 58.13/9.50 ( ! [X2 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f68111,f67101])).
% 58.13/9.50 tff(f68111,plain,(
% 58.13/9.50 ( ! [X2 : $o,X1 : $o] : (vEBT_invar_vebt(vEBT_Leaf(bG619(X1),bG620(X2)),one_one(nat))) )),
% 58.13/9.50 inference(equality_resolution,[],[f56429])).
% 58.13/9.50 tff(f56429,plain,(
% 58.13/9.50 ( ! [X2 : $o,X0 : vEBT_VEBT,X1 : $o] : (vEBT_invar_vebt(X0,one_one(nat)) | vEBT_Leaf(bG619(X1),bG620(X2)) != X0) )),
% 58.13/9.50 inference(cnf_transformation,[],[f40849])).
% 58.13/9.50 tff(f93707,plain,(
% 58.13/9.50 spl5880_2722),
% 58.13/9.50 inference(avatar_split_clause,[],[f70287,f93705])).
% 58.13/9.50 tff(f70287,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0))) = iG1228($true)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50636,f67101])).
% 58.13/9.50 tff(f50636,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0)))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f10010])).
% 58.13/9.50 tff(f10010,plain,(
% 58.13/9.50 ! [X0 : $o] : one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,bG341(X0)))),
% 58.13/9.50 inference(fool_elimination,[],[f10008,f10009])).
% 58.13/9.50 tff(f10009,plain,(
% 58.13/9.50 ! [X0 : $o] : (($true = X0) <=> ($true = bG341(X0)))),
% 58.13/9.50 introduced(fool_formula_definition,[new_symbols(definition,[bG341])])).
% 58.13/9.50 tff(f10008,plain,(
% 58.13/9.50 ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,X0)) = one_one(nat)),
% 58.13/9.50 inference(rectify,[],[f1245])).
% 58.13/9.50 tff(f1245,axiom,(
% 58.13/9.50 ! [X109 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($true,X109)) = one_one(nat)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1244_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Osimps_I2_J)).
% 58.13/9.50 tff(f93702,plain,(
% 58.13/9.50 spl5880_2721),
% 58.13/9.50 inference(avatar_split_clause,[],[f70286,f93700])).
% 58.13/9.50 tff(f70286,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true)) = iG1228($true)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50635,f67101])).
% 58.13/9.50 tff(f50635,plain,(
% 58.13/9.50 ( ! [X0 : $o] : (one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f10007])).
% 58.13/9.50 tff(f10007,plain,(
% 58.13/9.50 ! [X0 : $o] : one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(bG340(X0),$true))),
% 58.13/9.50 inference(fool_elimination,[],[f10005,f10006])).
% 58.13/9.50 tff(f10006,plain,(
% 58.13/9.50 ! [X0 : $o] : (($true = X0) <=> ($true = bG340(X0)))),
% 58.13/9.50 introduced(fool_formula_definition,[new_symbols(definition,[bG340])])).
% 58.13/9.50 tff(f10005,plain,(
% 58.13/9.50 ! [X0 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(X0,$true)) = one_one(nat)),
% 58.13/9.50 inference(rectify,[],[f1246])).
% 58.13/9.50 tff(f1246,axiom,(
% 58.13/9.50 ! [X105 : $o] : vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf(X105,$true)) = one_one(nat)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1245_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Osimps_I3_J)).
% 58.13/9.50 tff(f93696,plain,(
% 58.13/9.50 spl5880_2720),
% 58.13/9.50 inference(avatar_split_clause,[],[f69891,f93694])).
% 58.13/9.50 tff(f69891,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = modulo_modulo(nat,X0,iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f69890,f69743])).
% 58.13/9.50 tff(f69890,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = modulo_modulo(nat,X0,aa(nat,nat,suc,iG894($true)))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50265,f67338])).
% 58.13/9.50 tff(f50265,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f22796])).
% 58.13/9.50 tff(f22796,plain,(
% 58.13/9.50 ! [X0 : nat] : zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.50 inference(rectify,[],[f982])).
% 58.13/9.50 tff(f982,axiom,(
% 58.13/9.50 ! [X15 : nat] : zero_zero(nat) = modulo_modulo(nat,X15,aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_981_mod__by__Suc__0)).
% 58.13/9.50 tff(f93691,plain,(
% 58.13/9.50 spl5880_2719),
% 58.13/9.50 inference(avatar_split_clause,[],[f69876,f93689])).
% 58.13/9.50 tff(f69876,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = ord_min(nat,iG894($true),X0)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50235,f67338])).
% 58.13/9.50 tff(f50235,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (zero_zero(nat) = ord_min(nat,zero_zero(nat),X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f22766])).
% 58.13/9.50 tff(f22766,plain,(
% 58.13/9.50 ! [X0 : nat] : zero_zero(nat) = ord_min(nat,zero_zero(nat),X0)),
% 58.13/9.50 inference(rectify,[],[f8177])).
% 58.13/9.50 tff(f8177,axiom,(
% 58.13/9.50 ! [X8 : nat] : zero_zero(nat) = ord_min(nat,zero_zero(nat),X8)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8176_min__0L)).
% 58.13/9.50 tff(f93686,plain,(
% 58.13/9.50 spl5880_2718),
% 58.13/9.50 inference(avatar_split_clause,[],[f69875,f93684])).
% 58.13/9.50 tff(f69875,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG894($true) = ord_min(nat,X0,iG894($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50234,f67338])).
% 58.13/9.50 tff(f50234,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (zero_zero(nat) = ord_min(nat,X0,zero_zero(nat))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f22765])).
% 58.13/9.50 tff(f22765,plain,(
% 58.13/9.50 ! [X0 : nat] : zero_zero(nat) = ord_min(nat,X0,zero_zero(nat))),
% 58.13/9.50 inference(rectify,[],[f8178])).
% 58.13/9.50 tff(f8178,axiom,(
% 58.13/9.50 ! [X8 : nat] : zero_zero(nat) = ord_min(nat,X8,zero_zero(nat))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8177_min__0R)).
% 58.13/9.50 tff(f93681,plain,(
% 58.13/9.50 spl5880_2717),
% 58.13/9.50 inference(avatar_split_clause,[],[f69874,f93679])).
% 58.13/9.50 tff(f69874,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (iG1228($true) = gcd_gcd(nat,X0,iG1228($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50233,f67101])).
% 58.13/9.50 tff(f50233,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (one_one(nat) = gcd_gcd(nat,X0,one_one(nat))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f22764])).
% 58.13/9.50 tff(f22764,plain,(
% 58.13/9.50 ! [X0 : nat] : one_one(nat) = gcd_gcd(nat,X0,one_one(nat))),
% 58.13/9.50 inference(rectify,[],[f5649])).
% 58.13/9.50 tff(f5649,axiom,(
% 58.13/9.50 ! [X15 : nat] : one_one(nat) = gcd_gcd(nat,X15,one_one(nat))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5648_gcd__1__nat)).
% 58.13/9.50 tff(f93676,plain,(
% 58.13/9.50 spl5880_2716),
% 58.13/9.50 inference(avatar_split_clause,[],[f69868,f93674])).
% 58.13/9.50 tff(f69868,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != iG894($true)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f50225,f67338])).
% 58.13/9.50 tff(f50225,plain,(
% 58.13/9.50 ( ! [X0 : nat] : (zero_zero(nat) != aa(nat,nat,suc,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f22756])).
% 58.13/9.50 tff(f22756,plain,(
% 58.13/9.50 ! [X0 : nat] : zero_zero(nat) != aa(nat,nat,suc,X0)),
% 58.13/9.50 inference(rectify,[],[f1093])).
% 58.13/9.50 tff(f1093,axiom,(
% 58.13/9.50 ! [X37 : nat] : aa(nat,nat,suc,X37) != zero_zero(nat)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1092_old_Onat_Odistinct_I1_J)).
% 58.13/9.50 tff(f93672,plain,(
% 58.13/9.50 spl5880_2715),
% 58.13/9.50 inference(avatar_split_clause,[],[f69774,f93669])).
% 58.13/9.50 tff(f93669,plain,(
% 58.13/9.50 spl5880_2715 <=> the(real,aTP_Lamp_jk(real,$o)) = iG303(imaginary_unit)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2715])])).
% 58.13/9.50 tff(f69774,plain,(
% 58.13/9.50 the(real,aTP_Lamp_jk(real,$o)) = iG303(imaginary_unit)),
% 58.13/9.50 inference(forward_demodulation,[],[f50085,f65754])).
% 58.13/9.50 tff(f50085,plain,(
% 58.13/9.50 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_jk(real,$o))),
% 58.13/9.50 inference(cnf_transformation,[],[f4551])).
% 58.13/9.50 tff(f4551,axiom,(
% 58.13/9.50 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_jk(real,$o))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4550_pi__half)).
% 58.13/9.50 tff(f93667,plain,(
% 58.13/9.50 spl5880_2714),
% 58.13/9.50 inference(avatar_split_clause,[],[f69737,f93664])).
% 58.13/9.50 tff(f69737,plain,(
% 58.13/9.50 one_one(code_integer) = aa(num,code_integer,code_positive,one2)),
% 58.13/9.50 inference(forward_demodulation,[],[f50031,f69734])).
% 58.13/9.50 tff(f69734,plain,(
% 58.13/9.50 code_positive = code_integer_of_num),
% 58.13/9.50 inference(forward_demodulation,[],[f50020,f50019])).
% 58.13/9.50 tff(f50020,plain,(
% 58.13/9.50 numeral_numeral(code_integer) = code_integer_of_num),
% 58.13/9.50 inference(cnf_transformation,[],[f5451])).
% 58.13/9.50 tff(f5451,axiom,(
% 58.13/9.50 numeral_numeral(code_integer) = code_integer_of_num),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5450_integer__of__num__def)).
% 58.13/9.50 tff(f50031,plain,(
% 58.13/9.50 one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 58.13/9.50 inference(cnf_transformation,[],[f5452])).
% 58.13/9.50 tff(f5452,axiom,(
% 58.13/9.50 one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5451_integer__of__num__triv_I1_J)).
% 58.13/9.50 tff(f93662,plain,(
% 58.13/9.50 spl5880_2713),
% 58.13/9.50 inference(avatar_split_clause,[],[f69711,f93659])).
% 58.13/9.50 tff(f69711,plain,(
% 58.13/9.50 newlist75 = list_update(vEBT_VEBT,treeList,h79,newnode74)),
% 58.13/9.50 inference(forward_demodulation,[],[f65725,f65717])).
% 58.13/9.50 tff(f65725,plain,(
% 58.13/9.50 newlist75 = list_update(vEBT_VEBT,treeList,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),newnode74)),
% 58.13/9.50 inference(definition_unfolding,[],[f49250,f56860])).
% 58.13/9.50 tff(f49250,plain,(
% 58.13/9.50 list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),newnode74) = newlist75),
% 58.13/9.50 inference(cnf_transformation,[],[f9849])).
% 58.13/9.50 tff(f9849,plain,(
% 58.13/9.50 list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),newnode74) = newlist75),
% 58.13/9.50 introduced(fool_let_definition,[])).
% 58.13/9.50 tff(f93656,plain,(
% 58.13/9.50 spl5880_2712),
% 58.13/9.50 inference(avatar_split_clause,[],[f69663,f93654])).
% 58.13/9.50 tff(f69663,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG426(X3,iG894($true),X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67674,f67338])).
% 58.13/9.50 tff(f67674,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG426(X3,zero_zero(nat),X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48939])).
% 58.13/9.50 tff(f48939,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG426(X3,X4,X5) | zero_zero(nat) != X4) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28017])).
% 58.13/9.50 tff(f28017,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG426(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG426(X3,X4,X5) | zero_zero(nat) != X4)),
% 58.13/9.50 inference(ennf_transformation,[],[f22476])).
% 58.13/9.50 tff(f22476,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG426(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG426(X3,X4,X5))),
% 58.13/9.50 inference(flattening,[],[f22475])).
% 58.13/9.50 tff(f22475,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_hn(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG426(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG426(X3,X4,X5))),
% 58.13/9.50 inference(rectify,[],[f11236])).
% 58.13/9.50 tff(f93651,plain,(
% 58.13/9.50 spl5880_2711),
% 58.13/9.50 inference(avatar_split_clause,[],[f69652,f93649])).
% 58.13/9.50 tff(f69652,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG459(X3,iG894($true),X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67629,f67338])).
% 58.13/9.50 tff(f67629,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG459(X3,zero_zero(nat),X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48848])).
% 58.13/9.50 tff(f48848,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG459(X3,X4,X5) | zero_zero(nat) != X4) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27991])).
% 58.13/9.50 tff(f27991,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG459(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG459(X3,X4,X5) | zero_zero(nat) != X4)),
% 58.13/9.50 inference(ennf_transformation,[],[f22419])).
% 58.13/9.50 tff(f22419,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG459(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => zero_zero(X3) = iG459(X3,X4,X5))),
% 58.13/9.50 inference(flattening,[],[f22418])).
% 58.13/9.50 tff(f22418,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG459(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => zero_zero(X3) = iG459(X3,X4,X5))),
% 58.13/9.50 inference(rectify,[],[f11359])).
% 58.13/9.50 tff(f93646,plain,(
% 58.13/9.50 spl5880_2710),
% 58.13/9.50 inference(avatar_split_clause,[],[f69639,f93644])).
% 58.13/9.50 tff(f69639,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG510(X3,iG894($true),X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67592,f67338])).
% 58.13/9.50 tff(f67592,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG510(X3,zero_zero(nat),X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48745])).
% 58.13/9.50 tff(f48745,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG510(X3,X4,X5) | zero_zero(nat) != X4) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27969])).
% 58.13/9.50 tff(f27969,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG510(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG510(X3,X4,X5) | zero_zero(nat) != X4)),
% 58.13/9.50 inference(ennf_transformation,[],[f22346])).
% 58.13/9.50 tff(f22346,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG510(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG510(X3,X4,X5))),
% 58.13/9.50 inference(flattening,[],[f22345])).
% 58.13/9.50 tff(f22345,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG510(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG510(X3,X4,X5))),
% 58.13/9.50 inference(rectify,[],[f12608])).
% 58.13/9.50 tff(f12608,plain,(
% 58.13/9.50 ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) = iG510(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG510(X0,X2,X1))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG510])])).
% 58.13/9.50 tff(f93641,plain,(
% 58.13/9.50 spl5880_2709),
% 58.13/9.50 inference(avatar_split_clause,[],[f69630,f93639])).
% 58.13/9.50 tff(f69630,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG515(X3,iG894($true),X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67589,f67338])).
% 58.13/9.50 tff(f67589,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG515(X3,zero_zero(nat),X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48737])).
% 58.13/9.50 tff(f48737,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG515(X3,X4,X5) | zero_zero(nat) != X4) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27966])).
% 58.13/9.50 tff(f27966,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG515(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG515(X3,X4,X5) | zero_zero(nat) != X4)),
% 58.13/9.50 inference(ennf_transformation,[],[f22340])).
% 58.13/9.50 tff(f22340,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG515(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG515(X3,X4,X5))),
% 58.13/9.50 inference(flattening,[],[f22339])).
% 58.13/9.50 tff(f22339,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_hp(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG515(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG515(X3,X4,X5))),
% 58.13/9.50 inference(rectify,[],[f12627])).
% 58.13/9.50 tff(f93636,plain,(
% 58.13/9.50 spl5880_2708),
% 58.13/9.50 inference(avatar_split_clause,[],[f69596,f93634])).
% 58.13/9.50 tff(f69596,plain,(
% 58.13/9.50 ( ! [X3 : nat] : (iG894($true) = divide_divide(nat,X3,iG894($true))) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67501,f67338])).
% 58.13/9.50 tff(f67501,plain,(
% 58.13/9.50 ( ! [X3 : nat] : (zero_zero(nat) = divide_divide(nat,X3,zero_zero(nat))) )),
% 58.13/9.50 inference(equality_resolution,[],[f65641])).
% 58.13/9.50 tff(f65641,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = divide_divide(nat,X3,X2) | zero_zero(nat) != X2) )),
% 58.13/9.50 inference(definition_unfolding,[],[f48463,f57193])).
% 58.13/9.50 tff(f57193,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : nat] : (divide_divide(nat,X0,X1) = iG651(X1,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f14646])).
% 58.13/9.50 tff(f14646,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : divide_divide(nat,X0,X1) = iG651(X1,X0)),
% 58.13/9.50 inference(fool_elimination,[],[f14644,f14645])).
% 58.13/9.50 tff(f14645,plain,(
% 58.13/9.50 ! [X1 : nat,X0 : nat] : (~(zero_zero(nat) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) => aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1)) = iG651(X1,X0)) & ! [X1 : nat,X0 : nat] : ((zero_zero(nat) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) => zero_zero(nat) = iG651(X1,X0))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG651])])).
% 58.13/9.50 tff(f14644,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : divide_divide(nat,X0,X1) = $ite(zero_zero(nat) = X1 | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1), zero_zero(nat),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1)))),
% 58.13/9.50 inference(rectify,[],[f1456])).
% 58.13/9.50 tff(f1456,axiom,(
% 58.13/9.50 ! [X15 : nat,X8 : nat] : divide_divide(nat,X15,X8) = $ite(zero_zero(nat) = X8 | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),X8), zero_zero(nat),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X15),X8),X8)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1455_div__if)).
% 58.13/9.50 tff(f48463,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG651(X2,X3) | zero_zero(nat) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27892])).
% 58.13/9.50 tff(f27892,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG651(X0,X1) | zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG651(X2,X3) | (zero_zero(nat) != X2 & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 58.13/9.50 inference(flattening,[],[f27891])).
% 58.13/9.50 tff(f27891,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG651(X0,X1) | (zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)))) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG651(X2,X3) | (zero_zero(nat) != X2 & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 58.13/9.50 inference(ennf_transformation,[],[f22141])).
% 58.13/9.50 tff(f22141,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat] : (~(zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) => aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG651(X0,X1)) & ! [X2 : nat,X3 : nat] : ((zero_zero(nat) = X2 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) => zero_zero(nat) = iG651(X2,X3))),
% 58.13/9.50 inference(rectify,[],[f14645])).
% 58.13/9.50 tff(f93631,plain,(
% 58.13/9.50 spl5880_2707),
% 58.13/9.50 inference(avatar_split_clause,[],[f69516,f93629])).
% 58.13/9.50 tff(f69516,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG803(iG894($true),X4,X5) | ($true = X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67404,f67338])).
% 58.13/9.50 tff(f67404,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG803(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48148])).
% 58.13/9.50 tff(f48148,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG803(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38455])).
% 58.13/9.50 tff(f93626,plain,(
% 58.13/9.50 spl5880_2706),
% 58.13/9.50 inference(avatar_split_clause,[],[f69509,f93624])).
% 58.13/9.50 tff(f69509,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG811(iG894($true),X4,X5) | ($true = X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67394,f67338])).
% 58.13/9.50 tff(f67394,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG811(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48129])).
% 58.13/9.50 tff(f48129,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG811(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38448])).
% 58.13/9.50 tff(f93621,plain,(
% 58.13/9.50 spl5880_2705),
% 58.13/9.50 inference(avatar_split_clause,[],[f69502,f93619])).
% 58.13/9.50 tff(f69502,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG843(iG894($true),X4,X5) | ($true = X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67374,f67338])).
% 58.13/9.50 tff(f67374,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG843(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48062])).
% 58.13/9.50 tff(f48062,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG843(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38413])).
% 58.13/9.50 tff(f93616,plain,(
% 58.13/9.50 spl5880_2704),
% 58.13/9.50 inference(avatar_split_clause,[],[f69495,f93614])).
% 58.13/9.50 tff(f69495,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (~iG851(iG894($true),X4,X5) | ($true = X5)) )),
% 58.13/9.50 inference(forward_demodulation,[],[f67364,f67338])).
% 58.13/9.50 tff(f67364,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG851(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48043])).
% 58.13/9.50 tff(f48043,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG851(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38406])).
% 58.13/9.50 tff(f93612,plain,(
% 58.13/9.50 spl5880_2703),
% 58.13/9.50 inference(avatar_split_clause,[],[f69080,f93610])).
% 58.13/9.50 tff(f93610,plain,(
% 58.13/9.50 spl5880_2703 <=> ! [X2 : $tType,X3 : $tType,X5 : X3,X6 : X2,X1 : fun(X3,option(X2))] : sP2512(X2,X3,X5,X1,X6,X5,X6)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2703])])).
% 58.13/9.50 tff(f69080,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X2 : $tType,X1 : fun(X3,option(X2)),X6 : X2,X5 : X3] : (sP2512(X2,X3,X5,X1,X6,X5,X6)) )),
% 58.13/9.50 inference(equality_resolution,[],[f69079])).
% 58.13/9.50 tff(f69079,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X2 : $tType,X0 : X3,X1 : fun(X3,option(X2)),X6 : X2,X5 : X3] : (sP2512(X2,X3,X0,X1,X6,X5,X6) | X0 != X5) )),
% 58.13/9.50 inference(equality_resolution,[],[f64695])).
% 58.13/9.50 tff(f64695,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X2 : $tType,X0 : X3,X1 : fun(X3,option(X2)),X6 : X2,X4 : X2,X5 : X3] : (sP2512(X2,X3,X0,X1,X4,X5,X6) | X4 != X6 | X0 != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f46025])).
% 58.13/9.50 tff(f93608,plain,(
% 58.13/9.50 spl5880_2702),
% 58.13/9.50 inference(avatar_split_clause,[],[f68623,f93606])).
% 58.13/9.50 tff(f93606,plain,(
% 58.13/9.50 spl5880_2702 <=> ! [X2 : nat,X0 : nat,X3 : $o] : (($true = X3) | ~sP2345(X0,X2,X2,X3))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2702])])).
% 58.13/9.50 tff(f68623,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : $o,X0 : nat] : (($true = X3) | ~sP2345(X0,X2,X2,X3)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61461])).
% 58.13/9.50 tff(f61461,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : $o,X0 : nat,X1 : nat] : (($true = X3) | X1 != X2 | ~sP2345(X0,X1,X2,X3)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43983])).
% 58.13/9.50 tff(f93604,plain,(
% 58.13/9.50 spl5880_2701),
% 58.13/9.50 inference(avatar_split_clause,[],[f68622,f93602])).
% 58.13/9.50 tff(f93602,plain,(
% 58.13/9.50 spl5880_2701 <=> ! [X2 : nat,X1 : nat,X3 : $o] : (($true = X3) | ~sP2345(X1,X1,X2,X3))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2701])])).
% 58.13/9.50 tff(f68622,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : $o,X1 : nat] : (($true = X3) | ~sP2345(X1,X1,X2,X3)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61462])).
% 58.13/9.50 tff(f61462,plain,(
% 58.13/9.50 ( ! [X2 : nat,X3 : $o,X0 : nat,X1 : nat] : (($true = X3) | X0 != X1 | ~sP2345(X0,X1,X2,X3)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43983])).
% 58.13/9.50 tff(f93600,plain,(
% 58.13/9.50 spl5880_2700),
% 58.13/9.50 inference(avatar_split_clause,[],[f68553,f93598])).
% 58.13/9.50 tff(f68553,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,X1) = iG1451(X1,X0)) )),
% 58.13/9.50 inference(equality_resolution,[],[f61096])).
% 58.13/9.50 tff(f61096,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : nat,X1 : nat] : (iG1451(X1,X0) = X2 | gcd_gcd(nat,X0,X1) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f35218])).
% 58.13/9.50 tff(f35218,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : nat] : (iG1451(X1,X0) = X2 | gcd_gcd(nat,X0,X1) != X2)),
% 58.13/9.50 inference(ennf_transformation,[],[f17840])).
% 58.13/9.50 tff(f17840,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : nat] : (gcd_gcd(nat,X0,X1) = X2 => iG1451(X1,X0) = X2)),
% 58.13/9.50 inference(fool_elimination,[],[f17838,f17839])).
% 58.13/9.50 tff(f17839,plain,(
% 58.13/9.50 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG1451(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG1451(X1,X0) = X0)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG1451])])).
% 58.13/9.50 tff(f17838,plain,(
% 58.13/9.50 ! [X0 : nat,X1 : nat,X2 : nat] : (gcd_gcd(nat,X0,X1) = X2 => X2 = $ite(zero_zero(nat) = X1, X0,gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1))))),
% 58.13/9.50 inference(rectify,[],[f5657])).
% 58.13/9.50 tff(f5657,axiom,(
% 58.13/9.50 ! [X9 : nat,X111 : nat,X18 : nat] : (gcd_gcd(nat,X9,X111) = X18 => X18 = $ite(zero_zero(nat) = X111, X9,gcd_gcd(nat,X111,modulo_modulo(nat,X9,X111))))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5656_gcd__nat_Oelims)).
% 58.13/9.50 tff(f93596,plain,(
% 58.13/9.50 spl5880_2699),
% 58.13/9.50 inference(avatar_split_clause,[],[f68550,f93594])).
% 58.13/9.50 tff(f68550,plain,(
% 58.13/9.50 ( ! [X0 : int,X1 : int] : (iG636(X1,X0) = iG1449(X1,X0)) )),
% 58.13/9.50 inference(equality_resolution,[],[f66281])).
% 58.13/9.50 tff(f66281,plain,(
% 58.13/9.50 ( ! [X2 : list(int),X0 : int,X1 : int] : (iG1449(X1,X0) = X2 | iG636(X1,X0) != X2) )),
% 58.13/9.50 inference(definition_unfolding,[],[f61093,f57182])).
% 58.13/9.50 tff(f61093,plain,(
% 58.13/9.50 ( ! [X2 : list(int),X0 : int,X1 : int] : (iG1449(X1,X0) = X2 | upto(X0,X1) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f35215])).
% 58.13/9.50 tff(f35215,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : list(int)] : (iG1449(X1,X0) = X2 | upto(X0,X1) != X2)),
% 58.13/9.50 inference(ennf_transformation,[],[f17834])).
% 58.13/9.50 tff(f17834,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : list(int)] : (upto(X0,X1) = X2 => iG1449(X1,X0) = X2)),
% 58.13/9.50 inference(fool_elimination,[],[f17832,f17833])).
% 58.13/9.50 tff(f17833,plain,(
% 58.13/9.50 ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG1449(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG1449(X1,X0))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG1449])])).
% 58.13/9.50 tff(f17832,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : list(int)] : (upto(X0,X1) = X2 => X2 = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1), aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)),nil(int)))),
% 58.13/9.50 inference(rectify,[],[f6872])).
% 58.13/9.50 tff(f6872,axiom,(
% 58.13/9.50 ! [X9 : int,X111 : int,X18 : list(int)] : (upto(X9,X111) = X18 => X18 = $ite(aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X9),X111), aa(list(int),list(int),cons(int,X9),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),one_one(int)),X111)),nil(int)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6871_upto_Oelims)).
% 58.13/9.50 tff(f93592,plain,(
% 58.13/9.50 spl5880_2698),
% 58.13/9.50 inference(avatar_split_clause,[],[f67687,f93590])).
% 58.13/9.50 tff(f93590,plain,(
% 58.13/9.50 spl5880_2698 <=> ! [X3 : $tType,X5 : X3] : zero_zero(X3) = iG349(X3,zero_zero(X3),X5)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2698])])).
% 58.13/9.50 tff(f67687,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG349(X3,zero_zero(X3),X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f49094])).
% 58.13/9.50 tff(f49094,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = iG349(X3,X4,X5) | zero_zero(X3) != X4) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28083])).
% 58.13/9.50 tff(f28083,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0] : (exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG349(X0,X1,X2) | zero_zero(X0) = X1) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = iG349(X3,X4,X5) | zero_zero(X3) != X4)),
% 58.13/9.50 inference(ennf_transformation,[],[f22616])).
% 58.13/9.50 tff(f22616,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG349(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = X4 => zero_zero(X3) = iG349(X3,X4,X5))),
% 58.13/9.50 inference(flattening,[],[f22615])).
% 58.13/9.50 tff(f22615,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) = X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG349(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = X4 => zero_zero(X3) = iG349(X3,X4,X5))),
% 58.13/9.50 inference(rectify,[],[f10053])).
% 58.13/9.50 tff(f93588,plain,(
% 58.13/9.50 spl5880_2697),
% 58.13/9.50 inference(avatar_split_clause,[],[f67671,f93586])).
% 58.13/9.50 tff(f93586,plain,(
% 58.13/9.50 spl5880_2697 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : iG431(X4,zero_zero(X4),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2697])])).
% 58.13/9.50 tff(f67671,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG431(X4,zero_zero(X4),X6,X7) = X7) )),
% 58.13/9.50 inference(equality_resolution,[],[f48928])).
% 58.13/9.50 tff(f48928,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG431(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28011])).
% 58.13/9.50 tff(f28011,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG431(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG431(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f22467])).
% 58.13/9.50 tff(f22467,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG431(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG431(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(flattening,[],[f22466])).
% 58.13/9.50 tff(f22466,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG431(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG431(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(rectify,[],[f11275])).
% 58.13/9.50 tff(f11275,plain,(
% 58.13/9.50 ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~zero_zero(X0) = X3 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),X3) = iG431(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (zero_zero(X0) = X3 => iG431(X0,X3,X2,X1) = X1)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG431])])).
% 58.13/9.50 tff(f93584,plain,(
% 58.13/9.50 spl5880_2696),
% 58.13/9.50 inference(avatar_split_clause,[],[f67670,f93582])).
% 58.13/9.50 tff(f93582,plain,(
% 58.13/9.50 spl5880_2696 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : iG432(X4,zero_zero(X4),X6,X7) = X7),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2696])])).
% 58.13/9.50 tff(f67670,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG432(X4,zero_zero(X4),X6,X7) = X7) )),
% 58.13/9.50 inference(equality_resolution,[],[f48926])).
% 58.13/9.50 tff(f48926,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG432(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28010])).
% 58.13/9.50 tff(f28010,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG432(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG432(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f22465])).
% 58.13/9.50 tff(f22465,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG432(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG432(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(flattening,[],[f22464])).
% 58.13/9.50 tff(f22464,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG432(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG432(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(rectify,[],[f11278])).
% 58.13/9.50 tff(f11278,plain,(
% 58.13/9.50 ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~zero_zero(X0) = X3 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),X3) = iG432(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (zero_zero(X0) = X3 => iG432(X0,X3,X2,X1) = X1)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG432])])).
% 58.13/9.50 tff(f93580,plain,(
% 58.13/9.50 spl5880_2695),
% 58.13/9.50 inference(avatar_split_clause,[],[f67668,f93578])).
% 58.13/9.50 tff(f93578,plain,(
% 58.13/9.50 spl5880_2695 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : iG434(X4,zero_zero(X4),X6,X7) = X6),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2695])])).
% 58.13/9.50 tff(f67668,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG434(X4,zero_zero(X4),X6,X7) = X6) )),
% 58.13/9.50 inference(equality_resolution,[],[f48922])).
% 58.13/9.50 tff(f48922,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG434(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28008])).
% 58.13/9.50 tff(f28008,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG434(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG434(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f22461])).
% 58.13/9.50 tff(f22461,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG434(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG434(X4,X5,X6,X7) = X6)),
% 58.13/9.50 inference(flattening,[],[f22460])).
% 58.13/9.50 tff(f22460,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG434(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG434(X4,X5,X6,X7) = X6)),
% 58.13/9.50 inference(rectify,[],[f11284])).
% 58.13/9.50 tff(f11284,plain,(
% 58.13/9.50 ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG434(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => iG434(X0,X2,X3,X1) = X3)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG434])])).
% 58.13/9.50 tff(f93576,plain,(
% 58.13/9.50 spl5880_2694),
% 58.13/9.50 inference(avatar_split_clause,[],[f67666,f93574])).
% 58.13/9.50 tff(f93574,plain,(
% 58.13/9.50 spl5880_2694 <=> ! [X4 : $tType,X6 : X4,X7 : X4] : iG436(X4,zero_zero(X4),X6,X7) = X6),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2694])])).
% 58.13/9.50 tff(f67666,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG436(X4,zero_zero(X4),X6,X7) = X6) )),
% 58.13/9.50 inference(equality_resolution,[],[f48918])).
% 58.13/9.50 tff(f48918,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG436(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f28006])).
% 58.13/9.50 tff(f28006,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG436(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG436(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f22457])).
% 58.13/9.50 tff(f22457,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG436(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG436(X4,X5,X6,X7) = X6)),
% 58.13/9.50 inference(flattening,[],[f22456])).
% 58.13/9.50 tff(f22456,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG436(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG436(X4,X5,X6,X7) = X6)),
% 58.13/9.50 inference(rectify,[],[f11290])).
% 58.13/9.50 tff(f11290,plain,(
% 58.13/9.50 ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG436(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => iG436(X0,X2,X3,X1) = X3)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG436])])).
% 58.13/9.50 tff(f93572,plain,(
% 58.13/9.50 spl5880_2693),
% 58.13/9.50 inference(avatar_split_clause,[],[f67572,f93570])).
% 58.13/9.50 tff(f93570,plain,(
% 58.13/9.50 spl5880_2693 <=> ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : zero_zero(X4) = iG537(X4,X6,X6,X7)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2693])])).
% 58.13/9.50 tff(f67572,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG537(X4,X6,X6,X7)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48695])).
% 58.13/9.50 tff(f48695,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (zero_zero(X4) = iG537(X4,X5,X6,X7) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27962])).
% 58.13/9.50 tff(f27962,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG537(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG537(X4,X5,X6,X7) | X5 != X6)),
% 58.13/9.50 inference(ennf_transformation,[],[f22316])).
% 58.13/9.50 tff(f22316,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (X1 != X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG537(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => zero_zero(X4) = iG537(X4,X5,X6,X7))),
% 58.13/9.50 inference(flattening,[],[f22315])).
% 58.13/9.50 tff(f22315,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~X1 = X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG537(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => zero_zero(X4) = iG537(X4,X5,X6,X7))),
% 58.13/9.50 inference(rectify,[],[f12691])).
% 58.13/9.50 tff(f12691,plain,(
% 58.13/9.50 ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (~X1 = X4 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),aa(nat,nat,suc,zero_zero(nat)))) = iG537(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (X1 = X4 => zero_zero(X0) = iG537(X0,X4,X1,X3))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG537])])).
% 58.13/9.50 tff(f93568,plain,(
% 58.13/9.50 spl5880_2692),
% 58.13/9.50 inference(avatar_split_clause,[],[f67571,f93566])).
% 58.13/9.50 tff(f93566,plain,(
% 58.13/9.50 spl5880_2692 <=> ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : one_one(X4) = iG543(X4,X6,X6,X7)),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2692])])).
% 58.13/9.50 tff(f67571,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG543(X4,X6,X6,X7)) )),
% 58.13/9.50 inference(equality_resolution,[],[f48683])).
% 58.13/9.50 tff(f48683,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (one_one(X4) = iG543(X4,X5,X6,X7) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27956])).
% 58.13/9.50 tff(f27956,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG543(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG543(X4,X5,X6,X7) | X5 != X6)),
% 58.13/9.50 inference(ennf_transformation,[],[f22304])).
% 58.13/9.50 tff(f22304,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (X1 != X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG543(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => one_one(X4) = iG543(X4,X5,X6,X7))),
% 58.13/9.50 inference(flattening,[],[f22303])).
% 58.13/9.50 tff(f22303,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~X1 = X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG543(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => one_one(X4) = iG543(X4,X5,X6,X7))),
% 58.13/9.50 inference(rectify,[],[f12735])).
% 58.13/9.50 tff(f12735,plain,(
% 58.13/9.50 ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (~X1 = X4 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),aa(nat,nat,suc,zero_zero(nat)))) = iG543(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (X1 = X4 => one_one(X0) = iG543(X0,X4,X1,X3))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG543])])).
% 58.13/9.50 tff(f93564,plain,(
% 58.13/9.50 spl5880_2691),
% 58.13/9.50 inference(avatar_split_clause,[],[f67503,f93562])).
% 58.13/9.50 tff(f93562,plain,(
% 58.13/9.50 spl5880_2691 <=> ! [X3 : int] : zero_zero(int) = divide_divide(int,X3,zero_zero(int))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2691])])).
% 58.13/9.50 tff(f67503,plain,(
% 58.13/9.50 ( ! [X3 : int] : (zero_zero(int) = divide_divide(int,X3,zero_zero(int))) )),
% 58.13/9.50 inference(equality_resolution,[],[f65646])).
% 58.13/9.50 tff(f65646,plain,(
% 58.13/9.50 ( ! [X2 : int,X3 : int] : (zero_zero(int) = divide_divide(int,X3,X2) | zero_zero(int) != X2) )),
% 58.13/9.50 inference(definition_unfolding,[],[f48467,f57191])).
% 58.13/9.50 tff(f48467,plain,(
% 58.13/9.50 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG649(X2,X3) | zero_zero(int) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27894])).
% 58.13/9.50 tff(f93559,plain,(
% 58.13/9.50 spl5880_2690),
% 58.13/9.50 inference(avatar_split_clause,[],[f67309,f93557])).
% 58.13/9.50 tff(f67309,plain,(
% 58.13/9.50 ( ! [X3 : $tType] : (zero_zero(nat) = iG923(X3,nil(list(X3)))) )),
% 58.13/9.50 inference(equality_resolution,[],[f47903])).
% 58.13/9.50 tff(f47903,plain,(
% 58.13/9.50 ( ! [X3 : $tType,X2 : list(list(X3))] : (zero_zero(nat) = iG923(X3,X2) | nil(list(X3)) != X2) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27772])).
% 58.13/9.50 tff(f27772,plain,(
% 58.13/9.50 ! [X0 : list(list(X1)),X1 : $tType] : (aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG923(X1,X0) | nil(list(X1)) = X0) & ! [X2 : list(list(X3)),X3 : $tType] : (zero_zero(nat) = iG923(X3,X2) | nil(list(X3)) != X2)),
% 58.13/9.50 inference(ennf_transformation,[],[f21776])).
% 58.13/9.50 tff(f21776,plain,(
% 58.13/9.50 ! [X0 : list(list(X1)),X1 : $tType] : (nil(list(X1)) != X0 => aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG923(X1,X0)) & ! [X2 : list(list(X3)),X3 : $tType] : (nil(list(X3)) = X2 => zero_zero(nat) = iG923(X3,X2))),
% 58.13/9.50 inference(flattening,[],[f21775])).
% 58.13/9.50 tff(f21775,plain,(
% 58.13/9.50 ! [X0 : list(list(X1)),X1 : $tType] : (~nil(list(X1)) = X0 => aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG923(X1,X0)) & ! [X2 : list(list(X3)),X3 : $tType] : (nil(list(X3)) = X2 => zero_zero(nat) = iG923(X3,X2))),
% 58.13/9.50 inference(rectify,[],[f15575])).
% 58.13/9.50 tff(f15575,plain,(
% 58.13/9.50 ! [X1 : list(list(X0)),X0 : $tType] : (~nil(list(X0)) = X1 => aa(list(X0),nat,size_size(list(X0)),aa(nat,list(X0),nth(list(X0),X1),zero_zero(nat))) = iG923(X0,X1)) & ! [X1 : list(list(X0)),X0 : $tType] : (nil(list(X0)) = X1 => zero_zero(nat) = iG923(X0,X1))),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG923])])).
% 58.13/9.50 tff(f93554,plain,(
% 58.13/9.50 spl5880_2689),
% 58.13/9.50 inference(avatar_split_clause,[],[f67297,f93552])).
% 58.13/9.50 tff(f67297,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG934(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f47878])).
% 58.13/9.50 tff(f47878,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG934(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38350])).
% 58.13/9.50 tff(f93549,plain,(
% 58.13/9.50 spl5880_2688),
% 58.13/9.50 inference(avatar_split_clause,[],[f67285,f93547])).
% 58.13/9.50 tff(f67285,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG946(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f47847])).
% 58.13/9.50 tff(f47847,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG946(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38339])).
% 58.13/9.50 tff(f93544,plain,(
% 58.13/9.50 spl5880_2687),
% 58.13/9.50 inference(avatar_split_clause,[],[f67275,f93542])).
% 58.13/9.50 tff(f67275,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG956(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f47820])).
% 58.13/9.50 tff(f47820,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG956(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38330])).
% 58.13/9.50 tff(f93539,plain,(
% 58.13/9.50 spl5880_2686),
% 58.13/9.50 inference(avatar_split_clause,[],[f67263,f93537])).
% 58.13/9.50 tff(f67263,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG968(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f47789])).
% 58.13/9.50 tff(f47789,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG968(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38319])).
% 58.13/9.50 tff(f93534,plain,(
% 58.13/9.50 spl5880_2685),
% 58.13/9.50 inference(avatar_split_clause,[],[f66955,f93532])).
% 58.13/9.50 tff(f66955,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1478(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f46802])).
% 58.13/9.50 tff(f46802,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG1478(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38066])).
% 58.13/9.50 tff(f93529,plain,(
% 58.13/9.50 spl5880_2684),
% 58.13/9.50 inference(avatar_split_clause,[],[f66947,f93527])).
% 58.13/9.50 tff(f66947,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1483(X5) = iG1486(zero_zero(nat),X4,X5))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46786])).
% 58.13/9.50 tff(f46786,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1483(X5) = iG1486(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27521])).
% 58.13/9.50 tff(f93524,plain,(
% 58.13/9.50 spl5880_2683),
% 58.13/9.50 inference(avatar_split_clause,[],[f66933,f93522])).
% 58.13/9.50 tff(f66933,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1510(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f46737])).
% 58.13/9.50 tff(f46737,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG1510(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38044])).
% 58.13/9.50 tff(f93519,plain,(
% 58.13/9.50 spl5880_2682),
% 58.13/9.50 inference(avatar_split_clause,[],[f66923,f93517])).
% 58.13/9.50 tff(f66923,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : ((bG1519(X5) = iG1522(zero_zero(nat),X4,X5))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46709])).
% 58.13/9.50 tff(f46709,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG1519(X5) = iG1522(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27507])).
% 58.13/9.50 tff(f93515,plain,(
% 58.13/9.50 spl5880_2681),
% 58.13/9.50 inference(avatar_split_clause,[],[f66920,f93513])).
% 58.13/9.50 tff(f93513,plain,(
% 58.13/9.50 spl5880_2681 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : ($true = iG1529(X6,X6,X7,X8,X9))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2681])])).
% 58.13/9.50 tff(f66920,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1529(X6,X6,X7,X8,X9))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46696])).
% 58.13/9.50 tff(f46696,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1529(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27503])).
% 58.13/9.50 tff(f93511,plain,(
% 58.13/9.50 spl5880_2680),
% 58.13/9.50 inference(avatar_split_clause,[],[f66919,f93509])).
% 58.13/9.50 tff(f93509,plain,(
% 58.13/9.50 spl5880_2680 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : ($true = iG1530(X6,X6,X7,X8,X9))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2680])])).
% 58.13/9.50 tff(f66919,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1530(X6,X6,X7,X8,X9))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46694])).
% 58.13/9.50 tff(f46694,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1530(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27502])).
% 58.13/9.50 tff(f93506,plain,(
% 58.13/9.50 spl5880_2679),
% 58.13/9.50 inference(avatar_split_clause,[],[f66911,f93504])).
% 58.13/9.50 tff(f66911,plain,(
% 58.13/9.50 ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG1538(zero_zero(nat),X4,X5)) )),
% 58.13/9.50 inference(equality_resolution,[],[f46675])).
% 58.13/9.50 tff(f46675,plain,(
% 58.13/9.50 ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG1538(X3,X4,X5) | zero_zero(nat) != X3) )),
% 58.13/9.50 inference(cnf_transformation,[],[f38027])).
% 58.13/9.50 tff(f93501,plain,(
% 58.13/9.50 spl5880_2678),
% 58.13/9.50 inference(avatar_split_clause,[],[f66902,f93499])).
% 58.13/9.50 tff(f66902,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1545(X4,zero_zero(nat),X6,X7) = X7) )),
% 58.13/9.50 inference(equality_resolution,[],[f46661])).
% 58.13/9.50 tff(f46661,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4,X5 : nat] : (iG1545(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27495])).
% 58.13/9.50 tff(f27495,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1545(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (iG1545(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f20926])).
% 58.13/9.50 tff(f20926,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1545(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG1545(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(flattening,[],[f20925])).
% 58.13/9.50 tff(f20925,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1545(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG1545(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(rectify,[],[f18951])).
% 58.13/9.50 tff(f93496,plain,(
% 58.13/9.50 spl5880_2677),
% 58.13/9.50 inference(avatar_split_clause,[],[f66881,f93494])).
% 58.13/9.50 tff(f66881,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG1592(X4,zero_zero(nat),X6,X7) = X7) )),
% 58.13/9.50 inference(equality_resolution,[],[f46558])).
% 58.13/9.50 tff(f46558,plain,(
% 58.13/9.50 ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4,X5 : nat] : (iG1592(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27456])).
% 58.13/9.50 tff(f27456,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1592(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (iG1592(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 58.13/9.50 inference(ennf_transformation,[],[f20845])).
% 58.13/9.50 tff(f20845,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1592(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG1592(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(flattening,[],[f20844])).
% 58.13/9.50 tff(f20844,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG1592(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG1592(X4,X5,X6,X7) = X7)),
% 58.13/9.50 inference(rectify,[],[f19608])).
% 58.13/9.50 tff(f19608,plain,(
% 58.13/9.50 ! [X0 : $tType,X4 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X4 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),one_one(nat))) = iG1592(X0,X4,X2,X3)) & ! [X0 : $tType,X4 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) = X4 => iG1592(X0,X4,X2,X3) = X3)),
% 58.13/9.50 introduced(fool_ite_definition,[new_symbols(definition,[iG1592])])).
% 58.13/9.50 tff(f93492,plain,(
% 58.13/9.50 spl5880_2676),
% 58.13/9.50 inference(avatar_split_clause,[],[f66880,f93490])).
% 58.13/9.50 tff(f93490,plain,(
% 58.13/9.50 spl5880_2676 <=> ! [X5 : $tType,X9 : X5,X8 : list(X5),X7 : nat] : iG1593(X5,X7,X7,X8,X9) = X9),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2676])])).
% 58.13/9.50 tff(f66880,plain,(
% 58.13/9.50 ( ! [X5 : $tType,X8 : list(X5),X9 : X5,X7 : nat] : (iG1593(X5,X7,X7,X8,X9) = X9) )),
% 58.13/9.50 inference(equality_resolution,[],[f46556])).
% 58.13/9.50 tff(f46556,plain,(
% 58.13/9.50 ( ! [X5 : $tType,X8 : list(X5),X6 : nat,X9 : X5,X7 : nat] : (iG1593(X5,X6,X7,X8,X9) = X9 | X6 != X7) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27455])).
% 58.13/9.50 tff(f93488,plain,(
% 58.13/9.50 spl5880_2675),
% 58.13/9.50 inference(avatar_split_clause,[],[f66846,f93486])).
% 58.13/9.50 tff(f93486,plain,(
% 58.13/9.50 spl5880_2675 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : ($true = iG1777(X6,X6,X7,X8,X9))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2675])])).
% 58.13/9.50 tff(f66846,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1777(X6,X6,X7,X8,X9))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46237])).
% 58.13/9.50 tff(f46237,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1777(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27333])).
% 58.13/9.50 tff(f93484,plain,(
% 58.13/9.50 spl5880_2674),
% 58.13/9.50 inference(avatar_split_clause,[],[f66845,f93482])).
% 58.13/9.50 tff(f93482,plain,(
% 58.13/9.50 spl5880_2674 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : ($true = iG1778(X6,X6,X7,X8,X9))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2674])])).
% 58.13/9.50 tff(f66845,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1778(X6,X6,X7,X8,X9))) )),
% 58.13/9.50 inference(equality_resolution,[],[f46235])).
% 58.13/9.50 tff(f46235,plain,(
% 58.13/9.50 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1778(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 58.13/9.50 inference(cnf_transformation,[],[f27332])).
% 58.13/9.50 tff(f93480,plain,(
% 58.13/9.50 spl5880_2673),
% 58.13/9.50 inference(avatar_split_clause,[],[f63699,f93478])).
% 58.13/9.50 tff(f93478,plain,(
% 58.13/9.50 spl5880_2673 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,X1) | ~sP2459(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2673])])).
% 58.13/9.50 tff(f63699,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : nat,X1 : nat] : (dvd_dvd(nat,X0,X1) | ~sP2459(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f45402])).
% 58.13/9.50 tff(f93476,plain,(
% 58.13/9.50 spl5880_2672),
% 58.13/9.50 inference(avatar_split_clause,[],[f63062,f93474])).
% 58.13/9.50 tff(f93474,plain,(
% 58.13/9.50 spl5880_2672 <=> ! [X0 : $tType,X2 : $o,X1 : fun(X0,fun(X0,$o)),X3 : list(X0)] : (($true = X2) | ~sP2417(X0,X1,X2,X3))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2672])])).
% 58.13/9.50 tff(f63062,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : $o,X3 : list(X0),X1 : fun(X0,fun(X0,$o))] : (($true = X2) | ~sP2417(X0,X1,X2,X3)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44924])).
% 58.13/9.50 tff(f93472,plain,(
% 58.13/9.50 spl5880_2671),
% 58.13/9.50 inference(avatar_split_clause,[],[f62606,f93470])).
% 58.13/9.50 tff(f93470,plain,(
% 58.13/9.50 spl5880_2671 <=> ! [X0 : $tType,X2 : fun(num,X0),X1 : X0,X3 : fun(num,X0)] : case_num(X0,X1,X2,X3,one2) = X1),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2671])])).
% 58.13/9.50 tff(f62606,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : fun(num,X0),X3 : fun(num,X0),X1 : X0] : (case_num(X0,X1,X2,X3,one2) = X1) )),
% 58.13/9.50 inference(cnf_transformation,[],[f26702])).
% 58.13/9.50 tff(f26702,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : X0,X2 : fun(num,X0),X3 : fun(num,X0)] : case_num(X0,X1,X2,X3,one2) = X1),
% 58.13/9.50 inference(rectify,[],[f7425])).
% 58.13/9.50 tff(f7425,axiom,(
% 58.13/9.50 ! [X0 : $tType,X230 : X0,X293 : fun(num,X0),X410 : fun(num,X0)] : case_num(X0,X230,X293,X410,one2) = X230),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7424_verit__eq__simplify_I16_J)).
% 58.13/9.50 tff(f93468,plain,(
% 58.13/9.50 spl5880_2670),
% 58.13/9.50 inference(avatar_split_clause,[],[f62318,f93466])).
% 58.13/9.50 tff(f93466,plain,(
% 58.13/9.50 spl5880_2670 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2399(X2,X1,X0) | ~sP2400(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2670])])).
% 58.13/9.50 tff(f62318,plain,(
% 58.13/9.50 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2399(X2,X1,X0) | ~sP2400(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44601])).
% 58.13/9.50 tff(f93464,plain,(
% 58.13/9.50 spl5880_2669),
% 58.13/9.50 inference(avatar_split_clause,[],[f62317,f93462])).
% 58.13/9.50 tff(f93462,plain,(
% 58.13/9.50 spl5880_2669 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2398(X2,X1,X0) | ~sP2400(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2669])])).
% 58.13/9.50 tff(f62317,plain,(
% 58.13/9.50 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2398(X2,X1,X0) | ~sP2400(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44601])).
% 58.13/9.50 tff(f93460,plain,(
% 58.13/9.50 spl5880_2668),
% 58.13/9.50 inference(avatar_split_clause,[],[f62299,f93458])).
% 58.13/9.50 tff(f93458,plain,(
% 58.13/9.50 spl5880_2668 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2396(X2,X1,X0) | ~sP2397(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2668])])).
% 58.13/9.50 tff(f62299,plain,(
% 58.13/9.50 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2396(X2,X1,X0) | ~sP2397(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44587])).
% 58.13/9.50 tff(f93456,plain,(
% 58.13/9.50 spl5880_2667),
% 58.13/9.50 inference(avatar_split_clause,[],[f62298,f93454])).
% 58.13/9.50 tff(f93454,plain,(
% 58.13/9.50 spl5880_2667 <=> ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2395(X2,X1,X0) | ~sP2397(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2667])])).
% 58.13/9.50 tff(f62298,plain,(
% 58.13/9.50 ( ! [X2 : fun(int,$o),X0 : int,X1 : int] : (sP2395(X2,X1,X0) | ~sP2397(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44587])).
% 58.13/9.50 tff(f93452,plain,(
% 58.13/9.50 spl5880_2666),
% 58.13/9.50 inference(avatar_split_clause,[],[f62296,f93450])).
% 58.13/9.50 tff(f93450,plain,(
% 58.13/9.50 spl5880_2666 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2393(X0,X2,X1) | ~sP2394(X0,X2,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2666])])).
% 58.13/9.50 tff(f62296,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2393(X0,X2,X1) | ~sP2394(X0,X2,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44584])).
% 58.13/9.50 tff(f44584,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : ((sP2393(X0,X2,X1) | ~sP2394(X0,X2,X1)) & (sP2394(X0,X2,X1) | ~sP2393(X0,X2,X1)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37746])).
% 58.13/9.50 tff(f37746,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (sP2393(X0,X2,X1) <=> sP2394(X0,X2,X1))),
% 58.13/9.50 inference(definition_folding,[],[f35908,f37745,f37744])).
% 58.13/9.50 tff(f35908,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (($true != aa(X0,$o,X2,X7)) | ~member(X0,X7,aa(list(X0),set(X0),set2(X0),X6))) & ($true = aa(X0,$o,X2,X5)) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1))),
% 58.13/9.50 inference(ennf_transformation,[],[f26693])).
% 58.13/9.50 tff(f26693,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (member(X0,X7,aa(list(X0),set(X0),set2(X0),X6)) => ($true != aa(X0,$o,X2,X7))) & ($true = aa(X0,$o,X2,X5)) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1))),
% 58.13/9.50 inference(flattening,[],[f18701])).
% 58.13/9.50 tff(f18701,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (member(X0,X7,aa(list(X0),set(X0),set2(X0),X6)) => ~($true = aa(X0,$o,X2,X7))) & ($true = aa(X0,$o,X2,X5)) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1))),
% 58.13/9.50 inference(fool_elimination,[],[f18700])).
% 58.13/9.50 tff(f18700,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (aa(X0,$o,X2,X3) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (member(X0,X7,aa(list(X0),set(X0),set2(X0),X6)) => ~aa(X0,$o,X2,X7)) & aa(X0,$o,X2,X5) & append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X6)) = X1))),
% 58.13/9.50 inference(rectify,[],[f6833])).
% 58.13/9.50 tff(f6833,axiom,(
% 58.13/9.50 ! [X0 : $tType,X64 : list(X0),X26 : fun(X0,$o)] : (? [X65 : X0] : (aa(X0,$o,X26,X65) & member(X0,X65,aa(list(X0),set(X0),set2(X0),X64))) <=> ? [X375 : list(X0),X65 : X0,X376 : list(X0)] : (! [X210 : X0] : (member(X0,X210,aa(list(X0),set(X0),set2(X0),X376)) => ~aa(X0,$o,X26,X210)) & aa(X0,$o,X26,X65) & append(X0,X375,aa(list(X0),list(X0),cons(X0,X65),X376)) = X64))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6832_split__list__last__prop__iff)).
% 58.13/9.50 tff(f93448,plain,(
% 58.13/9.50 spl5880_2665),
% 58.13/9.50 inference(avatar_split_clause,[],[f62295,f93446])).
% 58.13/9.50 tff(f93446,plain,(
% 58.13/9.50 spl5880_2665 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2394(X0,X2,X1) | ~sP2393(X0,X2,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2665])])).
% 58.13/9.50 tff(f62295,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2394(X0,X2,X1) | ~sP2393(X0,X2,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44584])).
% 58.13/9.50 tff(f93444,plain,(
% 58.13/9.50 spl5880_2664),
% 58.13/9.50 inference(avatar_split_clause,[],[f62286,f93442])).
% 58.13/9.50 tff(f93442,plain,(
% 58.13/9.50 spl5880_2664 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2391(X0,X2,X1) | ~sP2392(X0,X2,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2664])])).
% 58.13/9.50 tff(f62286,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2391(X0,X2,X1) | ~sP2392(X0,X2,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44574])).
% 58.13/9.50 tff(f44574,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : ((sP2391(X0,X2,X1) | ~sP2392(X0,X2,X1)) & (sP2392(X0,X2,X1) | ~sP2391(X0,X2,X1)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37743])).
% 58.13/9.50 tff(f37743,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (sP2391(X0,X2,X1) <=> sP2392(X0,X2,X1))),
% 58.13/9.50 inference(definition_folding,[],[f35907,f37742,f37741])).
% 58.13/9.50 tff(f35907,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (($true != aa(X0,$o,X2,X6)) | ~member(X0,X6,aa(list(X0),set(X0),set2(X0),X4))) & ($true = aa(X0,$o,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1))),
% 58.13/9.50 inference(ennf_transformation,[],[f26692])).
% 58.13/9.50 tff(f26692,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (member(X0,X6,aa(list(X0),set(X0),set2(X0),X4)) => ($true != aa(X0,$o,X2,X6))) & ($true = aa(X0,$o,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1))),
% 58.13/9.50 inference(flattening,[],[f18699])).
% 58.13/9.50 tff(f18699,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (($true = aa(X0,$o,X2,X3)) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (member(X0,X6,aa(list(X0),set(X0),set2(X0),X4)) => ~($true = aa(X0,$o,X2,X6))) & ($true = aa(X0,$o,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1))),
% 58.13/9.50 inference(fool_elimination,[],[f18698])).
% 58.13/9.50 tff(f18698,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,$o)] : (? [X3 : X0] : (aa(X0,$o,X2,X3) & member(X0,X3,aa(list(X0),set(X0),set2(X0),X1))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (member(X0,X6,aa(list(X0),set(X0),set2(X0),X4)) => ~aa(X0,$o,X2,X6)) & aa(X0,$o,X2,X5) & ? [X7 : list(X0)] : append(X0,X4,aa(list(X0),list(X0),cons(X0,X5),X7)) = X1))),
% 58.13/9.50 inference(rectify,[],[f6832])).
% 58.13/9.50 tff(f6832,axiom,(
% 58.13/9.50 ! [X0 : $tType,X64 : list(X0),X26 : fun(X0,$o)] : (? [X65 : X0] : (aa(X0,$o,X26,X65) & member(X0,X65,aa(list(X0),set(X0),set2(X0),X64))) <=> ? [X375 : list(X0),X65 : X0] : (! [X210 : X0] : (member(X0,X210,aa(list(X0),set(X0),set2(X0),X375)) => ~aa(X0,$o,X26,X210)) & aa(X0,$o,X26,X65) & ? [X376 : list(X0)] : append(X0,X375,aa(list(X0),list(X0),cons(X0,X65),X376)) = X64))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6831_split__list__first__prop__iff)).
% 58.13/9.50 tff(f93440,plain,(
% 58.13/9.50 spl5880_2663),
% 58.13/9.50 inference(avatar_split_clause,[],[f62285,f93438])).
% 58.13/9.50 tff(f93438,plain,(
% 58.13/9.50 spl5880_2663 <=> ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2392(X0,X2,X1) | ~sP2391(X0,X2,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2663])])).
% 58.13/9.50 tff(f62285,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : list(X0)] : (sP2392(X0,X2,X1) | ~sP2391(X0,X2,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44574])).
% 58.13/9.50 tff(f93436,plain,(
% 58.13/9.50 spl5880_2662),
% 58.13/9.50 inference(avatar_split_clause,[],[f62254,f93434])).
% 58.13/9.50 tff(f93434,plain,(
% 58.13/9.50 spl5880_2662 <=> ! [X2 : int,X0 : int,X1 : int] : (dvd_dvd(int,X0,X1) | ~sP2389(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2662])])).
% 58.13/9.50 tff(f62254,plain,(
% 58.13/9.50 ( ! [X2 : int,X0 : int,X1 : int] : (dvd_dvd(int,X0,X1) | ~sP2389(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44539])).
% 58.13/9.50 tff(f93432,plain,(
% 58.13/9.50 spl5880_2661),
% 58.13/9.50 inference(avatar_split_clause,[],[f62253,f93430])).
% 58.13/9.50 tff(f93430,plain,(
% 58.13/9.50 spl5880_2661 <=> ! [X2 : int,X0 : int,X1 : int] : (dvd_dvd(int,X0,X2) | ~sP2389(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2661])])).
% 58.13/9.50 tff(f62253,plain,(
% 58.13/9.50 ( ! [X2 : int,X0 : int,X1 : int] : (dvd_dvd(int,X0,X2) | ~sP2389(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44539])).
% 58.13/9.50 tff(f93428,plain,(
% 58.13/9.50 spl5880_2660),
% 58.13/9.50 inference(avatar_split_clause,[],[f62074,f93426])).
% 58.13/9.50 tff(f93426,plain,(
% 58.13/9.50 spl5880_2660 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP2383(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2660])])).
% 58.13/9.50 tff(f62074,plain,(
% 58.13/9.50 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP2383(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44387])).
% 58.13/9.50 tff(f44387,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((eucl_rel_int(X0,X1,X2) | ~sP2383(X0,X1,X2)) & (sP2383(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37727])).
% 58.13/9.50 tff(f37727,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) <=> sP2383(X0,X1,X2))),
% 58.13/9.50 inference(definition_folding,[],[f18641,f37726,f37725,f37724])).
% 58.13/9.50 tff(f18641,plain,(
% 58.13/9.50 ! [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 & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X6),X3) = X2 & X1 = X4 & X0 = X5) | ? [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) = X8 & zero_zero(int) != X7 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8) | ? [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 58.13/9.50 inference(fool_elimination,[],[f18640])).
% 58.13/9.50 tff(f18640,plain,(
% 58.13/9.50 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) <=> (? [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) = X5 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4)) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X6),X3) = X2 & X1 = X4 & X0 = X5) | ? [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) = X8 & zero_zero(int) != X7 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8) | ? [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 58.13/9.50 inference(rectify,[],[f4734])).
% 58.13/9.50 tff(f4734,axiom,(
% 58.13/9.50 ! [X190 : int,X191 : int,X240 : product_prod(int,int)] : (eucl_rel_int(X190,X191,X240) <=> (? [X271 : int,X270 : int,X47 : int,X187 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X187),X270)),X271) = X47 & aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(int,int,abs_abs(int),X271)),aa(int,int,abs_abs(int),X270)) & aa(int,int,sgn_sgn(int),X271) = aa(int,int,sgn_sgn(int),X270) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X187),X271) = X240 & X191 = X270 & X47 = X190) | ? [X270 : int,X47 : int,X187 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X187),X270) = X47 & zero_zero(int) != X270 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X187),zero_zero(int)) = X240 & X191 = X270 & X47 = X190) | ? [X47 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X47) = X240 & zero_zero(int) = X191 & X47 = X190)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4733_eucl__rel__int_Osimps)).
% 58.13/9.50 tff(f93424,plain,(
% 58.13/9.50 spl5880_2659),
% 58.13/9.50 inference(avatar_split_clause,[],[f62073,f93422])).
% 58.13/9.50 tff(f93422,plain,(
% 58.13/9.50 spl5880_2659 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2659])])).
% 58.13/9.50 tff(f62073,plain,(
% 58.13/9.50 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44387])).
% 58.13/9.50 tff(f93420,plain,(
% 58.13/9.50 spl5880_2658),
% 58.13/9.50 inference(avatar_split_clause,[],[f62059,f93418])).
% 58.13/9.50 tff(f93418,plain,(
% 58.13/9.50 spl5880_2658 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~sP2382(X2,X1,X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2658])])).
% 58.13/9.50 tff(f62059,plain,(
% 58.13/9.50 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~sP2382(X2,X1,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44378])).
% 58.13/9.50 tff(f93416,plain,(
% 58.13/9.50 spl5880_2657),
% 58.13/9.50 inference(avatar_split_clause,[],[f62058,f93414])).
% 58.13/9.50 tff(f93414,plain,(
% 58.13/9.50 spl5880_2657 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~sP2381(X2,X1,X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2657])])).
% 58.13/9.50 tff(f62058,plain,(
% 58.13/9.50 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP2383(X0,X1,X2) | ~sP2381(X2,X1,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44378])).
% 58.13/9.50 tff(f93412,plain,(
% 58.13/9.50 spl5880_2656),
% 58.13/9.50 inference(avatar_split_clause,[],[f62053,f93410])).
% 58.13/9.50 tff(f93410,plain,(
% 58.13/9.50 spl5880_2656 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) | ~sP2380(X2,X1,X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2656])])).
% 58.13/9.50 tff(f62053,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) | ~sP2380(X2,X1,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44373])).
% 58.13/9.50 tff(f44373,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : ((vEBT_is_pred_in_set(X0,X1,X2) | ~sP2380(X2,X1,X0)) & (sP2380(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37723])).
% 58.13/9.50 tff(f37723,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> sP2380(X2,X1,X0))),
% 58.13/9.50 inference(definition_folding,[],[f35886,f37722])).
% 58.13/9.50 tff(f35886,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(flattening,[],[f35885])).
% 58.13/9.50 tff(f35885,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1))) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(ennf_transformation,[],[f18639])).
% 58.13/9.50 tff(f18639,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : (member(nat,X3,X0) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(fool_elimination,[],[f18638])).
% 58.13/9.50 tff(f18638,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : (member(nat,X3,X0) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1) & member(nat,X2,X0)))),
% 58.13/9.50 inference(rectify,[],[f687])).
% 58.13/9.50 tff(f687,axiom,(
% 58.13/9.50 ! [X64 : set(nat),X9 : nat,X18 : nat] : (vEBT_is_pred_in_set(X64,X9,X18) <=> (! [X65 : nat] : (member(nat,X65,X64) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X65),X9) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X65),X18))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X18),X9) & member(nat,X18,X64)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_686_is__pred__in__set__def)).
% 58.13/9.50 tff(f93408,plain,(
% 58.13/9.50 spl5880_2655),
% 58.13/9.50 inference(avatar_split_clause,[],[f62052,f93406])).
% 58.13/9.50 tff(f93406,plain,(
% 58.13/9.50 spl5880_2655 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP2380(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2655])])).
% 58.13/9.50 tff(f62052,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP2380(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44373])).
% 58.13/9.50 tff(f93404,plain,(
% 58.13/9.50 spl5880_2654),
% 58.13/9.50 inference(avatar_split_clause,[],[f62046,f93402])).
% 58.13/9.50 tff(f93402,plain,(
% 58.13/9.50 spl5880_2654 <=> ! [X2 : set(nat),X0 : nat,X1 : nat] : (member(nat,X0,X2) | ~sP2380(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2654])])).
% 58.13/9.50 tff(f62046,plain,(
% 58.13/9.50 ( ! [X2 : set(nat),X0 : nat,X1 : nat] : (member(nat,X0,X2) | ~sP2380(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44372])).
% 58.13/9.50 tff(f93400,plain,(
% 58.13/9.50 spl5880_2653),
% 58.13/9.50 inference(avatar_split_clause,[],[f62045,f93398])).
% 58.13/9.50 tff(f93398,plain,(
% 58.13/9.50 spl5880_2653 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) | ~sP2379(X2,X1,X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2653])])).
% 58.13/9.50 tff(f62045,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) | ~sP2379(X2,X1,X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44367])).
% 58.13/9.50 tff(f44367,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : ((vEBT_is_succ_in_set(X0,X1,X2) | ~sP2379(X2,X1,X0)) & (sP2379(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2)))),
% 58.13/9.50 inference(nnf_transformation,[],[f37721])).
% 58.13/9.50 tff(f37721,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> sP2379(X2,X1,X0))),
% 58.13/9.50 inference(definition_folding,[],[f35884,f37720])).
% 58.13/9.50 tff(f35884,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(flattening,[],[f35883])).
% 58.13/9.50 tff(f35883,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3))) | ~member(nat,X3,X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(ennf_transformation,[],[f18637])).
% 58.13/9.50 tff(f18637,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : (member(nat,X3,X0) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3)) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) & member(nat,X2,X0)))),
% 58.13/9.50 inference(fool_elimination,[],[f18636])).
% 58.13/9.50 tff(f18636,plain,(
% 58.13/9.50 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : (member(nat,X3,X0) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X3) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2) & member(nat,X2,X0)))),
% 58.13/9.50 inference(rectify,[],[f686])).
% 58.13/9.50 tff(f686,axiom,(
% 58.13/9.50 ! [X64 : set(nat),X9 : nat,X18 : nat] : (vEBT_is_succ_in_set(X64,X9,X18) <=> (! [X65 : nat] : (member(nat,X65,X64) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),X65) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X18),X65))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),X18) & member(nat,X18,X64)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_685_is__succ__in__set__def)).
% 58.13/9.50 tff(f93396,plain,(
% 58.13/9.50 spl5880_2652),
% 58.13/9.50 inference(avatar_split_clause,[],[f62044,f93394])).
% 58.13/9.50 tff(f93394,plain,(
% 58.13/9.50 spl5880_2652 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP2379(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2652])])).
% 58.13/9.50 tff(f62044,plain,(
% 58.13/9.50 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP2379(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44367])).
% 58.13/9.50 tff(f93392,plain,(
% 58.13/9.50 spl5880_2651),
% 58.13/9.50 inference(avatar_split_clause,[],[f62038,f93390])).
% 58.13/9.50 tff(f93390,plain,(
% 58.13/9.50 spl5880_2651 <=> ! [X2 : set(nat),X0 : nat,X1 : nat] : (member(nat,X0,X2) | ~sP2379(X0,X1,X2))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2651])])).
% 58.13/9.50 tff(f62038,plain,(
% 58.13/9.50 ( ! [X2 : set(nat),X0 : nat,X1 : nat] : (member(nat,X0,X2) | ~sP2379(X0,X1,X2)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f44366])).
% 58.13/9.50 tff(f93388,plain,(
% 58.13/9.50 spl5880_2650),
% 58.13/9.50 inference(avatar_split_clause,[],[f60975,f93386])).
% 58.13/9.50 tff(f93386,plain,(
% 58.13/9.50 spl5880_2650 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2263(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2650])])).
% 58.13/9.50 tff(f60975,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2263(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43510])).
% 58.13/9.50 tff(f93384,plain,(
% 58.13/9.50 spl5880_2649),
% 58.13/9.50 inference(avatar_split_clause,[],[f60973,f93382])).
% 58.13/9.50 tff(f93382,plain,(
% 58.13/9.50 spl5880_2649 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2264(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2649])])).
% 58.13/9.50 tff(f60973,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2264(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43506])).
% 58.13/9.50 tff(f43506,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4775(X1)),zero_zero(nat),sK4776(X1),sK4777(X1)) = X1) | ~sP2264(X0,X1))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4775,sK4776,sK4777])],[f43504,f43505])).
% 58.13/9.50 tff(f43505,plain,(
% 58.13/9.50 ! [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)),sK4775(X1)),zero_zero(nat),sK4776(X1),sK4777(X1)) = X1)),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43504,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = 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) | ~sP2264(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f43503])).
% 58.13/9.50 tff(f43503,plain,(
% 58.13/9.50 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2264(X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37571])).
% 58.13/9.50 tff(f37571,plain,(
% 58.13/9.50 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2264(X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2264])])).
% 58.13/9.50 tff(f93380,plain,(
% 58.13/9.50 spl5880_2648),
% 58.13/9.50 inference(avatar_split_clause,[],[f60958,f93378])).
% 58.13/9.50 tff(f93378,plain,(
% 58.13/9.50 spl5880_2648 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2259(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2648])])).
% 58.13/9.50 tff(f60958,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2259(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43484])).
% 58.13/9.50 tff(f93376,plain,(
% 58.13/9.50 spl5880_2647),
% 58.13/9.50 inference(avatar_split_clause,[],[f60956,f93374])).
% 58.13/9.50 tff(f93374,plain,(
% 58.13/9.50 spl5880_2647 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2260(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2647])])).
% 58.13/9.50 tff(f60956,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2260(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f43480])).
% 58.13/9.50 tff(f43480,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4754(X1)),zero_zero(nat),sK4755(X1),sK4756(X1)) = X1) | ~sP2260(X0,X1))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4754,sK4755,sK4756])],[f43478,f43479])).
% 58.13/9.50 tff(f43479,plain,(
% 58.13/9.50 ! [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)),sK4754(X1)),zero_zero(nat),sK4755(X1),sK4756(X1)) = X1)),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f43478,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = 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) | ~sP2260(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f43477])).
% 58.13/9.50 tff(f43477,plain,(
% 58.13/9.50 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2260(X2,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37566])).
% 58.13/9.50 tff(f37566,plain,(
% 58.13/9.50 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2260(X2,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2260])])).
% 58.13/9.50 tff(f93372,plain,(
% 58.13/9.50 spl5880_2646),
% 58.13/9.50 inference(avatar_split_clause,[],[f59415,f93370])).
% 58.13/9.50 tff(f93370,plain,(
% 58.13/9.50 spl5880_2646 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP2110(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2646])])).
% 58.13/9.50 tff(f59415,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP2110(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42405])).
% 58.13/9.50 tff(f42405,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(list(X0))] : ((distinct(X0,concat(X0,X1)) | ~sP2110(X0,X1)) & (sP2110(X0,X1) | ~distinct(X0,concat(X0,X1))))),
% 58.13/9.50 inference(nnf_transformation,[],[f37371])).
% 58.13/9.50 tff(f37371,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> sP2110(X0,X1))),
% 58.13/9.50 inference(definition_folding,[],[f34947,f37370,f37369])).
% 58.13/9.50 tff(f34947,plain,(
% 58.13/9.50 ! [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 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 58.13/9.50 inference(flattening,[],[f34946])).
% 58.13/9.50 tff(f34946,plain,(
% 58.13/9.50 ! [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 | ~member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) | ~member(list(X0),X2,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~member(list(X0),X4,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 58.13/9.50 inference(ennf_transformation,[],[f26205])).
% 58.13/9.50 tff(f26205,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> (! [X2 : list(X0),X3 : list(X0)] : ((X2 != X3 & member(list(X0),X3,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)) & 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)] : (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))))),
% 58.13/9.50 inference(rectify,[],[f6761])).
% 58.13/9.50 tff(f6761,axiom,(
% 58.13/9.50 ! [X0 : $tType,X64 : list(list(X0))] : (distinct(X0,concat(X0,X64)) <=> (! [X375 : list(X0),X376 : list(X0)] : ((X375 != X376 & member(list(X0),X376,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) & member(list(X0),X375,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64))) => 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),X375)),aa(list(X0),set(X0),set2(X0),X376))) & ! [X375 : list(X0)] : (member(list(X0),X375,aa(list(list(X0)),set(list(X0)),set2(list(X0)),X64)) => distinct(X0,X375)) & distinct(list(X0),removeAll(list(X0),nil(X0),X64))))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6760_distinct__concat__iff)).
% 58.13/9.50 tff(f93368,plain,(
% 58.13/9.50 spl5880_2645),
% 58.13/9.50 inference(avatar_split_clause,[],[f59414,f93366])).
% 58.13/9.50 tff(f93366,plain,(
% 58.13/9.50 spl5880_2645 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sP2110(X0,X1) | ~distinct(X0,concat(X0,X1)))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2645])])).
% 58.13/9.50 tff(f59414,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2110(X0,X1) | ~distinct(X0,concat(X0,X1))) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42405])).
% 58.13/9.50 tff(f93364,plain,(
% 58.13/9.50 spl5880_2644),
% 58.13/9.50 inference(avatar_split_clause,[],[f59269,f93362])).
% 58.13/9.50 tff(f93362,plain,(
% 58.13/9.50 spl5880_2644 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4129(X0,X1)) | distinct(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2644])])).
% 58.13/9.50 tff(f59269,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4129(X0,X1)) | distinct(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42283])).
% 58.13/9.50 tff(f93360,plain,(
% 58.13/9.50 spl5880_2643),
% 58.13/9.50 inference(avatar_split_clause,[],[f58755,f93358])).
% 58.13/9.50 tff(f93358,plain,(
% 58.13/9.50 spl5880_2643 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | vEBT_VEBT_minNull(X1) | ~sP2080(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2643])])).
% 58.13/9.50 tff(f58755,plain,(
% 58.13/9.50 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | vEBT_VEBT_minNull(X1) | ~sP2080(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f42039])).
% 58.13/9.50 tff(f42039,plain,(
% 58.13/9.50 ! [X0 : $o,X1 : vEBT_VEBT] : (((($true != X0) | ~vEBT_VEBT_minNull(X1)) & (($true = X0) | vEBT_VEBT_minNull(X1))) | ~sP2080(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f42038])).
% 58.13/9.50 tff(f42038,plain,(
% 58.13/9.50 ! [X1 : $o,X0 : vEBT_VEBT] : (((($true != X1) | ~vEBT_VEBT_minNull(X0)) & (($true = X1) | vEBT_VEBT_minNull(X0))) | ~sP2080(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37332])).
% 58.13/9.50 tff(f37332,plain,(
% 58.13/9.50 ! [X1 : $o,X0 : vEBT_VEBT] : ((vEBT_VEBT_minNull(X0) <~> ($true = X1)) | ~sP2080(X1,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2080])])).
% 58.13/9.50 tff(f93356,plain,(
% 58.13/9.50 spl5880_2642),
% 58.13/9.50 inference(avatar_split_clause,[],[f58637,f93354])).
% 58.13/9.50 tff(f93354,plain,(
% 58.13/9.50 spl5880_2642 <=> ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2642])])).
% 58.13/9.50 tff(f58637,plain,(
% 58.13/9.50 ( ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f34284])).
% 58.13/9.50 tff(f34284,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.50 inference(flattening,[],[f34283])).
% 58.13/9.50 tff(f34283,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | (~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)))),
% 58.13/9.50 inference(ennf_transformation,[],[f26168])).
% 58.13/9.50 tff(f26168,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : ((topolo4958980785337419405_space(X1) & topolo4958980785337419405_space(X0)) => topolo4958980785337419405_space(product_prod(X0,X1)))),
% 58.13/9.50 inference(rectify,[],[f9696])).
% 58.13/9.50 tff(f9696,axiom,(
% 58.13/9.50 ! [X463 : $tType,X464 : $tType] : ((topolo4958980785337419405_space(X464) & topolo4958980785337419405_space(X463)) => topolo4958980785337419405_space(product_prod(X463,X464)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Otopological__space_486)).
% 58.13/9.50 tff(f93352,plain,(
% 58.13/9.50 spl5880_2641),
% 58.13/9.50 inference(avatar_split_clause,[],[f58612,f93350])).
% 58.13/9.50 tff(f93350,plain,(
% 58.13/9.50 spl5880_2641 <=> ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2641])])).
% 58.13/9.50 tff(f58612,plain,(
% 58.13/9.50 ( ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f34240])).
% 58.13/9.50 tff(f34240,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 58.13/9.50 inference(flattening,[],[f34239])).
% 58.13/9.50 tff(f34239,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | (~topological_t2_space(X1) | ~topological_t2_space(X0)))),
% 58.13/9.50 inference(ennf_transformation,[],[f26152])).
% 58.13/9.50 tff(f26152,plain,(
% 58.13/9.50 ! [X0 : $tType,X1 : $tType] : ((topological_t2_space(X1) & topological_t2_space(X0)) => topological_t2_space(product_prod(X0,X1)))),
% 58.13/9.50 inference(rectify,[],[f9697])).
% 58.13/9.50 tff(f9697,axiom,(
% 58.13/9.50 ! [X463 : $tType,X464 : $tType] : ((topological_t2_space(X464) & topological_t2_space(X463)) => topological_t2_space(product_prod(X463,X464)))),
% 58.13/9.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Ot2__space_487)).
% 58.13/9.50 tff(f93348,plain,(
% 58.13/9.50 spl5880_2640),
% 58.13/9.50 inference(avatar_split_clause,[],[f58259,f93346])).
% 58.13/9.50 tff(f93346,plain,(
% 58.13/9.50 spl5880_2640 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2063(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2640])])).
% 58.13/9.50 tff(f58259,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2063(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41745])).
% 58.13/9.50 tff(f41745,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),sK3827(X0,X1),sK3828(X0,X1),sK3829(X0,X1)))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3827(X0,X1),sK3828(X0,X1),sK3829(X0,X1)) = X1) | ~sP2063(X0,X1))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3827,sK3828,sK3829])],[f41743,f41744])).
% 58.13/9.50 tff(f41744,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),sK3827(X0,X1),sK3828(X0,X1),sK3829(X0,X1)))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3827(X0,X1),sK3828(X0,X1),sK3829(X0,X1)) = X1))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f41743,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2063(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f41742])).
% 58.13/9.50 tff(f41742,plain,(
% 58.13/9.50 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2063(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37303])).
% 58.13/9.50 tff(f37303,plain,(
% 58.13/9.50 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_mint_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2063(X1,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2063])])).
% 58.13/9.50 tff(f93344,plain,(
% 58.13/9.50 spl5880_2639),
% 58.13/9.50 inference(avatar_split_clause,[],[f58244,f93342])).
% 58.13/9.50 tff(f93342,plain,(
% 58.13/9.50 spl5880_2639 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2060(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2639])])).
% 58.13/9.50 tff(f58244,plain,(
% 58.13/9.50 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP2060(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41725])).
% 58.13/9.50 tff(f41725,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Node(none(product_prod(nat,nat)),sK3807(X0,X1),sK3808(X0,X1),sK3809(X0,X1)))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3807(X0,X1),sK3808(X0,X1),sK3809(X0,X1)) = X1) | ~sP2060(X0,X1))),
% 58.13/9.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3807,sK3808,sK3809])],[f41723,f41724])).
% 58.13/9.50 tff(f41724,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Node(none(product_prod(nat,nat)),sK3807(X0,X1),sK3808(X0,X1),sK3809(X0,X1)))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3807(X0,X1),sK3808(X0,X1),sK3809(X0,X1)) = X1))),
% 58.13/9.50 introduced(choice_axiom,[])).
% 58.13/9.50 tff(f41723,plain,(
% 58.13/9.50 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2060(X0,X1))),
% 58.13/9.50 inference(rectify,[],[f41722])).
% 58.13/9.50 tff(f41722,plain,(
% 58.13/9.50 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_vebt_maxt_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2060(X1,X0))),
% 58.13/9.50 inference(nnf_transformation,[],[f37298])).
% 58.13/9.50 tff(f37298,plain,(
% 58.13/9.50 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,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) | ~sP2060(X1,X0))),
% 58.13/9.50 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2060])])).
% 58.13/9.50 tff(f93340,plain,(
% 58.13/9.50 spl5880_2638),
% 58.13/9.50 inference(avatar_split_clause,[],[f58142,f93338])).
% 58.13/9.50 tff(f93338,plain,(
% 58.13/9.50 spl5880_2638 <=> ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP2043(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2638])])).
% 58.13/9.50 tff(f58142,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP2043(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41625])).
% 58.13/9.50 tff(f93336,plain,(
% 58.13/9.50 spl5880_2637),
% 58.13/9.50 inference(avatar_split_clause,[],[f58092,f93334])).
% 58.13/9.50 tff(f93334,plain,(
% 58.13/9.50 spl5880_2637 <=> ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK3710(X0,X1)) | ~finite_finite(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2637])])).
% 58.13/9.50 tff(f58092,plain,(
% 58.13/9.50 ( ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK3710(X0,X1)) | ~finite_finite(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41591])).
% 58.13/9.50 tff(f93332,plain,(
% 58.13/9.50 spl5880_2636),
% 58.13/9.50 inference(avatar_split_clause,[],[f58059,f93330])).
% 58.13/9.50 tff(f93330,plain,(
% 58.13/9.50 spl5880_2636 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3701(X0,X1) = X0 | ~sP2036(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2636])])).
% 58.13/9.50 tff(f58059,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3701(X0,X1) = X0 | ~sP2036(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41566])).
% 58.13/9.50 tff(f93328,plain,(
% 58.13/9.50 spl5880_2635),
% 58.13/9.50 inference(avatar_split_clause,[],[f58050,f93326])).
% 58.13/9.50 tff(f93326,plain,(
% 58.13/9.50 spl5880_2635 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3696(X0,X1) = X0 | ~sP2037(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2635])])).
% 58.13/9.50 tff(f58050,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3696(X0,X1) = X0 | ~sP2037(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41562])).
% 58.13/9.50 tff(f93324,plain,(
% 58.13/9.50 spl5880_2634),
% 58.13/9.50 inference(avatar_split_clause,[],[f58038,f93322])).
% 58.13/9.50 tff(f93322,plain,(
% 58.13/9.50 spl5880_2634 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3689(X0,X1) = X0 | ~sP2038(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2634])])).
% 58.13/9.50 tff(f58038,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3689(X0,X1) = X0 | ~sP2038(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41558])).
% 58.13/9.50 tff(f93320,plain,(
% 58.13/9.50 spl5880_2633),
% 58.13/9.50 inference(avatar_split_clause,[],[f58026,f93318])).
% 58.13/9.50 tff(f93318,plain,(
% 58.13/9.50 spl5880_2633 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3682(X0,X1) = X0 | ~sP2039(X0,X1))),
% 58.13/9.50 introduced(avatar_definition,[new_symbols(naming,[spl5880_2633])])).
% 58.13/9.50 tff(f58026,plain,(
% 58.13/9.50 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3682(X0,X1) = X0 | ~sP2039(X0,X1)) )),
% 58.13/9.50 inference(cnf_transformation,[],[f41554])).
% 58.13/9.50 tff(f93316,plain,(
% 58.13/9.50 spl5880_2632),
% 58.13/9.50 inference(avatar_split_clause,[],[f57983,f93314])).
% 58.13/9.51 tff(f93314,plain,(
% 58.13/9.51 spl5880_2632 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3635(X0,X1) = X0 | ~sP2027(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2632])])).
% 58.13/9.51 tff(f57983,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3635(X0,X1) = X0 | ~sP2027(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41512])).
% 58.13/9.51 tff(f93312,plain,(
% 58.13/9.51 spl5880_2631),
% 58.13/9.51 inference(avatar_split_clause,[],[f57974,f93310])).
% 58.13/9.51 tff(f93310,plain,(
% 58.13/9.51 spl5880_2631 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3629(X0,X1) = X0 | ~sP2026(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2631])])).
% 58.13/9.51 tff(f57974,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3629(X0,X1) = X0 | ~sP2026(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41506])).
% 58.13/9.51 tff(f93308,plain,(
% 58.13/9.51 spl5880_2630),
% 58.13/9.51 inference(avatar_split_clause,[],[f57954,f93306])).
% 58.13/9.51 tff(f93306,plain,(
% 58.13/9.51 spl5880_2630 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3612(X0,X1) != X0 | ~sP2023(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2630])])).
% 58.13/9.51 tff(f57954,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3612(X0,X1) != X0 | ~sP2023(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41482])).
% 58.13/9.51 tff(f93304,plain,(
% 58.13/9.51 spl5880_2629),
% 58.13/9.51 inference(avatar_split_clause,[],[f57953,f93302])).
% 58.13/9.51 tff(f93302,plain,(
% 58.13/9.51 spl5880_2629 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3611(X0,X1) != X0 | ~sP2023(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2629])])).
% 58.13/9.51 tff(f57953,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3611(X0,X1) != X0 | ~sP2023(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41482])).
% 58.13/9.51 tff(f93300,plain,(
% 58.13/9.51 spl5880_2628),
% 58.13/9.51 inference(avatar_split_clause,[],[f57950,f93298])).
% 58.13/9.51 tff(f93298,plain,(
% 58.13/9.51 spl5880_2628 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3608(X0,X1) != X0 | ~sP2024(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2628])])).
% 58.13/9.51 tff(f57950,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3608(X0,X1) != X0 | ~sP2024(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41478])).
% 58.13/9.51 tff(f41478,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((sK3608(X0,X1) != X0 & sK3607(X0,X1) != X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3607(X0,X1)),sK3608(X0,X1))),zero_zero(nat),sK3609(X0,X1),sK3610(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3607(X0,X1)),sK3608(X0,X1))),zero_zero(nat),sK3609(X0,X1),sK3610(X0,X1)) = X1) | ~sP2024(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3607,sK3608,sK3609,sK3610])],[f41476,f41477])).
% 58.13/9.51 tff(f41477,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (X0 != X3 & X0 != X2 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) => (sK3608(X0,X1) != X0 & sK3607(X0,X1) != X0 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3607(X0,X1)),sK3608(X0,X1))),zero_zero(nat),sK3609(X0,X1),sK3610(X0,X1))),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK3607(X0,X1)),sK3608(X0,X1))),zero_zero(nat),sK3609(X0,X1),sK3610(X0,X1)) = X1))),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41476,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (X0 != X3 & X0 != X2 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5)),X0))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP2024(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f41475])).
% 58.13/9.51 tff(f41475,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (X1 != X7 & X1 != X6 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9)),X1))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP2024(X1,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37244])).
% 58.13/9.51 tff(f37244,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (X1 != X7 & X1 != X6 & ($true = aa(product_prod(vEBT_VEBT,nat),$o,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) | ~sP2024(X1,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2024])])).
% 58.13/9.51 tff(f93296,plain,(
% 58.13/9.51 spl5880_2627),
% 58.13/9.51 inference(avatar_split_clause,[],[f57949,f93294])).
% 58.13/9.51 tff(f93294,plain,(
% 58.13/9.51 spl5880_2627 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3607(X0,X1) != X0 | ~sP2024(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2627])])).
% 58.13/9.51 tff(f57949,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3607(X0,X1) != X0 | ~sP2024(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41478])).
% 58.13/9.51 tff(f93292,plain,(
% 58.13/9.51 spl5880_2626),
% 58.13/9.51 inference(avatar_split_clause,[],[f57940,f93290])).
% 58.13/9.51 tff(f93290,plain,(
% 58.13/9.51 spl5880_2626 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3593(X0,X1) != X0 | ~sP2021(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2626])])).
% 58.13/9.51 tff(f57940,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3593(X0,X1) != X0 | ~sP2021(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41464])).
% 58.13/9.51 tff(f93288,plain,(
% 58.13/9.51 spl5880_2625),
% 58.13/9.51 inference(avatar_split_clause,[],[f57939,f93286])).
% 58.13/9.51 tff(f93286,plain,(
% 58.13/9.51 spl5880_2625 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3592(X0,X1) != X0 | ~sP2021(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2625])])).
% 58.13/9.51 tff(f57939,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3592(X0,X1) != X0 | ~sP2021(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41464])).
% 58.13/9.51 tff(f93284,plain,(
% 58.13/9.51 spl5880_2624),
% 58.13/9.51 inference(avatar_split_clause,[],[f57937,f93282])).
% 58.13/9.51 tff(f93282,plain,(
% 58.13/9.51 spl5880_2624 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3589(X0,X1) != X0 | ~sP2022(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2624])])).
% 58.13/9.51 tff(f57937,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3589(X0,X1) != X0 | ~sP2022(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41459])).
% 58.13/9.51 tff(f41459,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((sK3589(X0,X1) != X0 & sK3588(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),sK3588(X0,X1)),sK3589(X0,X1))),zero_zero(nat),sK3590(X0,X1),sK3591(X0,X1)) = X1) | ~sP2022(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3588,sK3589,sK3590,sK3591])],[f41456,f41458,f41457])).
% 58.13/9.51 tff(f41457,plain,(
% 58.13/9.51 ! [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) => (sK3589(X0,X1) != X0 & sK3588(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),sK3588(X0,X1)),sK3589(X0,X1))),zero_zero(nat),X4,X5) = X1))),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41458,plain,(
% 58.13/9.51 ! [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),sK3588(X0,X1)),sK3589(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),sK3588(X0,X1)),sK3589(X0,X1))),zero_zero(nat),sK3590(X0,X1),sK3591(X0,X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41456,plain,(
% 58.13/9.51 ! [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) | ~sP2022(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f41455])).
% 58.13/9.51 tff(f41455,plain,(
% 58.13/9.51 ! [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) | ~sP2022(X1,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37241])).
% 58.13/9.51 tff(f37241,plain,(
% 58.13/9.51 ! [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) | ~sP2022(X1,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2022])])).
% 58.13/9.51 tff(f93280,plain,(
% 58.13/9.51 spl5880_2623),
% 58.13/9.51 inference(avatar_split_clause,[],[f57936,f93278])).
% 58.13/9.51 tff(f93278,plain,(
% 58.13/9.51 spl5880_2623 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK3588(X0,X1) != X0 | ~sP2022(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2623])])).
% 58.13/9.51 tff(f57936,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK3588(X0,X1) != X0 | ~sP2022(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41459])).
% 58.13/9.51 tff(f93276,plain,(
% 58.13/9.51 spl5880_2622),
% 58.13/9.51 inference(avatar_split_clause,[],[f56625,f93274])).
% 58.13/9.51 tff(f93274,plain,(
% 58.13/9.51 spl5880_2622 <=> ! [X0 : real] : cos(real,X0) = cos(real,sK3378(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2622])])).
% 58.13/9.51 tff(f56625,plain,(
% 58.13/9.51 ( ! [X0 : real] : (cos(real,X0) = cos(real,sK3378(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40982])).
% 58.13/9.51 tff(f93272,plain,(
% 58.13/9.51 spl5880_2621),
% 58.13/9.51 inference(avatar_split_clause,[],[f56624,f93270])).
% 58.13/9.51 tff(f93270,plain,(
% 58.13/9.51 spl5880_2621 <=> ! [X0 : real] : sin(real,X0) = sin(real,sK3378(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2621])])).
% 58.13/9.51 tff(f56624,plain,(
% 58.13/9.51 ( ! [X0 : real] : (sin(real,X0) = sin(real,sK3378(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40982])).
% 58.13/9.51 tff(f93268,plain,(
% 58.13/9.51 spl5880_2620),
% 58.13/9.51 inference(avatar_split_clause,[],[f56470,f93266])).
% 58.13/9.51 tff(f93266,plain,(
% 58.13/9.51 spl5880_2620 <=> ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ~sP1998(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2620])])).
% 58.13/9.51 tff(f56470,plain,(
% 58.13/9.51 ( ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ~sP1998(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40896])).
% 58.13/9.51 tff(f40896,plain,(
% 58.13/9.51 ! [X0 : real] : ((zero_zero(real) = cos(real,X0) | ~sP1998(X0)) & (sP1998(X0) | zero_zero(real) != cos(real,X0)))),
% 58.13/9.51 inference(nnf_transformation,[],[f37199])).
% 58.13/9.51 tff(f37199,plain,(
% 58.13/9.51 ! [X0 : real] : (zero_zero(real) = cos(real,X0) <=> sP1998(X0))),
% 58.13/9.51 inference(definition_folding,[],[f25203,f37198])).
% 58.13/9.51 tff(f37198,plain,(
% 58.13/9.51 ! [X0 : real] : (sP1998(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 & ~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 & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1998])])).
% 58.13/9.51 tff(f25203,plain,(
% 58.13/9.51 ! [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 & ~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 & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))))),
% 58.13/9.51 inference(rectify,[],[f3649])).
% 58.13/9.51 tff(f3649,axiom,(
% 58.13/9.51 ! [X9 : real] : (zero_zero(real) = cos(real,X9) <=> (? [X193 : 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),X193)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) = X9 & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X193)) | ? [X193 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X193)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = X9 & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X193))))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3648_cos__zero__iff)).
% 58.13/9.51 tff(f93264,plain,(
% 58.13/9.51 spl5880_2619),
% 58.13/9.51 inference(avatar_split_clause,[],[f56469,f93262])).
% 58.13/9.51 tff(f56469,plain,(
% 58.13/9.51 ( ! [X0 : real] : (sP1998(X0) | zero_zero(real) != cos(real,X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40896])).
% 58.13/9.51 tff(f93260,plain,(
% 58.13/9.51 spl5880_2618),
% 58.13/9.51 inference(avatar_split_clause,[],[f56457,f93258])).
% 58.13/9.51 tff(f93258,plain,(
% 58.13/9.51 spl5880_2618 <=> ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP1997(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2618])])).
% 58.13/9.51 tff(f56457,plain,(
% 58.13/9.51 ( ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP1997(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40881])).
% 58.13/9.51 tff(f40881,plain,(
% 58.13/9.51 ! [X0 : real] : ((zero_zero(real) = sin(real,X0) | ~sP1997(X0)) & (sP1997(X0) | zero_zero(real) != sin(real,X0)))),
% 58.13/9.51 inference(nnf_transformation,[],[f37197])).
% 58.13/9.51 tff(f37197,plain,(
% 58.13/9.51 ! [X0 : real] : (zero_zero(real) = sin(real,X0) <=> sP1997(X0))),
% 58.13/9.51 inference(definition_folding,[],[f25200,f37196])).
% 58.13/9.51 tff(f37196,plain,(
% 58.13/9.51 ! [X0 : real] : (sP1997(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 & 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 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1997])])).
% 58.13/9.51 tff(f25200,plain,(
% 58.13/9.51 ! [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 & 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 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))))),
% 58.13/9.51 inference(rectify,[],[f3647])).
% 58.13/9.51 tff(f3647,axiom,(
% 58.13/9.51 ! [X9 : real] : (zero_zero(real) = sin(real,X9) <=> (? [X193 : 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),X193)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) = X9 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X193)) | ? [X193 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X193)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = X9 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X193))))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3646_sin__zero__iff)).
% 58.13/9.51 tff(f93256,plain,(
% 58.13/9.51 spl5880_2617),
% 58.13/9.51 inference(avatar_split_clause,[],[f56456,f93254])).
% 58.13/9.51 tff(f93254,plain,(
% 58.13/9.51 spl5880_2617 <=> ! [X0 : real] : (sP1997(X0) | zero_zero(real) != sin(real,X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2617])])).
% 58.13/9.51 tff(f56456,plain,(
% 58.13/9.51 ( ! [X0 : real] : (sP1997(X0) | zero_zero(real) != sin(real,X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40881])).
% 58.13/9.51 tff(f93252,plain,(
% 58.13/9.51 spl5880_2616),
% 58.13/9.51 inference(avatar_split_clause,[],[f55680,f93250])).
% 58.13/9.51 tff(f93250,plain,(
% 58.13/9.51 spl5880_2616 <=> ! [X0 : vEBT_VEBT] : (vEBT_VEBT_minNull(X0) | none(nat) != vEBT_vebt_mint(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2616])])).
% 58.13/9.51 tff(f55680,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_minNull(X0) | none(nat) != vEBT_vebt_mint(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f32182])).
% 58.13/9.51 tff(f32182,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT] : (vEBT_VEBT_minNull(X0) | none(nat) != vEBT_vebt_mint(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f24943])).
% 58.13/9.51 tff(f24943,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT] : (none(nat) = vEBT_vebt_mint(X0) => vEBT_VEBT_minNull(X0))),
% 58.13/9.51 inference(rectify,[],[f666])).
% 58.13/9.51 tff(f666,axiom,(
% 58.13/9.51 ! [X7 : vEBT_VEBT] : (vEBT_vebt_mint(X7) = none(nat) => vEBT_VEBT_minNull(X7))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_665_minminNull)).
% 58.13/9.51 tff(f93248,plain,(
% 58.13/9.51 spl5880_2615),
% 58.13/9.51 inference(avatar_split_clause,[],[f55526,f93246])).
% 58.13/9.51 tff(f93246,plain,(
% 58.13/9.51 spl5880_2615 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) | ~sP1985(X0,X1) | ~sP1986(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2615])])).
% 58.13/9.51 tff(f55526,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) | ~sP1985(X0,X1) | ~sP1986(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40327])).
% 58.13/9.51 tff(f40327,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topological_monoseq(X0,X1) | ~sP1985(X0,X1)) & (sP1985(X0,X1) | ~topological_monoseq(X0,X1))) | ~sP1986(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37177])).
% 58.13/9.51 tff(f37177,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> sP1985(X0,X1)) | ~sP1986(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1986])])).
% 58.13/9.51 tff(f93244,plain,(
% 58.13/9.51 spl5880_2614),
% 58.13/9.51 inference(avatar_split_clause,[],[f55525,f93242])).
% 58.13/9.51 tff(f93242,plain,(
% 58.13/9.51 spl5880_2614 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1985(X0,X1) | ~topological_monoseq(X0,X1) | ~sP1986(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2614])])).
% 58.13/9.51 tff(f55525,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1985(X0,X1) | ~topological_monoseq(X0,X1) | ~sP1986(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40327])).
% 58.13/9.51 tff(f93240,plain,(
% 58.13/9.51 spl5880_2613),
% 58.13/9.51 inference(avatar_split_clause,[],[f54876,f93238])).
% 58.13/9.51 tff(f93238,plain,(
% 58.13/9.51 spl5880_2613 <=> ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2613])])).
% 58.13/9.51 tff(f54876,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f31597])).
% 58.13/9.51 tff(f31597,plain,(
% 58.13/9.51 ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f8040])).
% 58.13/9.51 tff(f8040,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (linorder(X0) => sorted_wrt(X0,ord_less_eq(X0),nil(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8039_sorted0)).
% 58.13/9.51 tff(f93236,plain,(
% 58.13/9.51 spl5880_2612),
% 58.13/9.51 inference(avatar_split_clause,[],[f54875,f93234])).
% 58.13/9.51 tff(f93234,plain,(
% 58.13/9.51 spl5880_2612 <=> ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2612])])).
% 58.13/9.51 tff(f54875,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f31596])).
% 58.13/9.51 tff(f31596,plain,(
% 58.13/9.51 ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f8039])).
% 58.13/9.51 tff(f8039,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (linorder(X0) => sorted_wrt(X0,ord_less(X0),nil(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8038_strict__sorted__simps_I1_J)).
% 58.13/9.51 tff(f93232,plain,(
% 58.13/9.51 spl5880_2611),
% 58.13/9.51 inference(avatar_split_clause,[],[f54820,f93230])).
% 58.13/9.51 tff(f93230,plain,(
% 58.13/9.51 spl5880_2611 <=> ! [X0 : $tType] : (member(X0,zero_zero(X0),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2611])])).
% 58.13/9.51 tff(f54820,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (member(X0,zero_zero(X0),semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f31540])).
% 58.13/9.51 tff(f31540,plain,(
% 58.13/9.51 ! [X0 : $tType] : (member(X0,zero_zero(X0),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f7707])).
% 58.13/9.51 tff(f7707,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (semiring_1(X0) => member(X0,zero_zero(X0),semiring_1_Nats(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7706_Nats__0)).
% 58.13/9.51 tff(f93228,plain,(
% 58.13/9.51 spl5880_2610),
% 58.13/9.51 inference(avatar_split_clause,[],[f54819,f93226])).
% 58.13/9.51 tff(f93226,plain,(
% 58.13/9.51 spl5880_2610 <=> ! [X0 : $tType] : (member(X0,one_one(X0),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2610])])).
% 58.13/9.51 tff(f54819,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (member(X0,one_one(X0),semiring_1_Nats(X0)) | ~semiring_1(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f31539])).
% 58.13/9.51 tff(f31539,plain,(
% 58.13/9.51 ! [X0 : $tType] : (member(X0,one_one(X0),semiring_1_Nats(X0)) | ~semiring_1(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f7708])).
% 58.13/9.51 tff(f7708,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (semiring_1(X0) => member(X0,one_one(X0),semiring_1_Nats(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7707_Nats__1)).
% 58.13/9.51 tff(f93224,plain,(
% 58.13/9.51 spl5880_2609),
% 58.13/9.51 inference(avatar_split_clause,[],[f54528,f93222])).
% 58.13/9.51 tff(f93222,plain,(
% 58.13/9.51 spl5880_2609 <=> ! [X0 : vEBT_VEBT] : (none(nat) = vEBT_vebt_mint(X0) | ~vEBT_VEBT_minNull(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2609])])).
% 58.13/9.51 tff(f54528,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT] : (none(nat) = vEBT_vebt_mint(X0) | ~vEBT_VEBT_minNull(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f31259])).
% 58.13/9.51 tff(f31259,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT] : (none(nat) = vEBT_vebt_mint(X0) | ~vEBT_VEBT_minNull(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f24597])).
% 58.13/9.51 tff(f24597,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT] : (vEBT_VEBT_minNull(X0) => none(nat) = vEBT_vebt_mint(X0))),
% 58.13/9.51 inference(rectify,[],[f667])).
% 58.13/9.51 tff(f667,axiom,(
% 58.13/9.51 ! [X7 : vEBT_VEBT] : (vEBT_VEBT_minNull(X7) => vEBT_vebt_mint(X7) = none(nat))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_666_minNullmin)).
% 58.13/9.51 tff(f93220,plain,(
% 58.13/9.51 spl5880_2608),
% 58.13/9.51 inference(avatar_split_clause,[],[f54374,f93218])).
% 58.13/9.51 tff(f93218,plain,(
% 58.13/9.51 spl5880_2608 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | ~sP1954(X0,X1) | ~sP1955(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2608])])).
% 58.13/9.51 tff(f54374,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | ~sP1954(X0,X1) | ~sP1955(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39867])).
% 58.13/9.51 tff(f39867,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo1002775350975398744n_open(X0,X1) | ~sP1954(X0,X1)) & (sP1954(X0,X1) | ~topolo1002775350975398744n_open(X0,X1))) | ~sP1955(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37129])).
% 58.13/9.51 tff(f37129,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> sP1954(X0,X1)) | ~sP1955(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1955])])).
% 58.13/9.51 tff(f93216,plain,(
% 58.13/9.51 spl5880_2607),
% 58.13/9.51 inference(avatar_split_clause,[],[f54373,f93214])).
% 58.13/9.51 tff(f93214,plain,(
% 58.13/9.51 spl5880_2607 <=> ! [X0 : $tType,X1 : set(X0)] : (sP1954(X0,X1) | ~topolo1002775350975398744n_open(X0,X1) | ~sP1955(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2607])])).
% 58.13/9.51 tff(f54373,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (sP1954(X0,X1) | ~topolo1002775350975398744n_open(X0,X1) | ~sP1955(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39867])).
% 58.13/9.51 tff(f93212,plain,(
% 58.13/9.51 spl5880_2606),
% 58.13/9.51 inference(avatar_split_clause,[],[f54362,f93210])).
% 58.13/9.51 tff(f93210,plain,(
% 58.13/9.51 spl5880_2606 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP1952(X0,X1) | ~sP1953(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2606])])).
% 58.13/9.51 tff(f54362,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP1952(X0,X1) | ~sP1953(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39857])).
% 58.13/9.51 tff(f39857,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo2193935891317330818ompact(X0,X1) | ~sP1952(X0,X1)) & (sP1952(X0,X1) | ~topolo2193935891317330818ompact(X0,X1))) | ~sP1953(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37126])).
% 58.13/9.51 tff(f37126,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> sP1952(X0,X1)) | ~sP1953(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1953])])).
% 58.13/9.51 tff(f93208,plain,(
% 58.13/9.51 spl5880_2605),
% 58.13/9.51 inference(avatar_split_clause,[],[f54361,f93206])).
% 58.13/9.51 tff(f93206,plain,(
% 58.13/9.51 spl5880_2605 <=> ! [X0 : $tType,X1 : set(X0)] : (sP1952(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP1953(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2605])])).
% 58.13/9.51 tff(f54361,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (sP1952(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP1953(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39857])).
% 58.13/9.51 tff(f93204,plain,(
% 58.13/9.51 spl5880_2604),
% 58.13/9.51 inference(avatar_split_clause,[],[f54350,f93202])).
% 58.13/9.51 tff(f93202,plain,(
% 58.13/9.51 spl5880_2604 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP1949(X0,X1) | ~sP1950(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2604])])).
% 58.13/9.51 tff(f54350,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP1949(X0,X1) | ~sP1950(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39847])).
% 58.13/9.51 tff(f39847,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo2193935891317330818ompact(X0,X1) | ~sP1949(X0,X1)) & (sP1949(X0,X1) | ~topolo2193935891317330818ompact(X0,X1))) | ~sP1950(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37122])).
% 58.13/9.51 tff(f37122,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> sP1949(X0,X1)) | ~sP1950(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1950])])).
% 58.13/9.51 tff(f93200,plain,(
% 58.13/9.51 spl5880_2603),
% 58.13/9.51 inference(avatar_split_clause,[],[f54349,f93198])).
% 58.13/9.51 tff(f93198,plain,(
% 58.13/9.51 spl5880_2603 <=> ! [X0 : $tType,X1 : set(X0)] : (sP1949(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP1950(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2603])])).
% 58.13/9.51 tff(f54349,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : set(X0)] : (sP1949(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP1950(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39847])).
% 58.13/9.51 tff(f93196,plain,(
% 58.13/9.51 spl5880_2602),
% 58.13/9.51 inference(avatar_split_clause,[],[f53990,f93194])).
% 58.13/9.51 tff(f93194,plain,(
% 58.13/9.51 spl5880_2602 <=> ! [X0 : $tType] : (member(X0,one_one(X0),ring_1_Ints(X0)) | ~ring_1(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2602])])).
% 58.13/9.51 tff(f53990,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (member(X0,one_one(X0),ring_1_Ints(X0)) | ~ring_1(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f30828])).
% 58.13/9.51 tff(f30828,plain,(
% 58.13/9.51 ! [X0 : $tType] : (member(X0,one_one(X0),ring_1_Ints(X0)) | ~ring_1(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f4858])).
% 58.13/9.51 tff(f4858,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (ring_1(X0) => member(X0,one_one(X0),ring_1_Ints(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4857_Ints__1)).
% 58.13/9.51 tff(f93192,plain,(
% 58.13/9.51 spl5880_2601),
% 58.13/9.51 inference(avatar_split_clause,[],[f52507,f93190])).
% 58.13/9.51 tff(f93190,plain,(
% 58.13/9.51 spl5880_2601 <=> ! [X0 : $tType] : (member(X0,one_one(X0),field_char_0_Rats(X0)) | ~field_char_0(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2601])])).
% 58.13/9.51 tff(f52507,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (member(X0,one_one(X0),field_char_0_Rats(X0)) | ~field_char_0(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f29670])).
% 58.13/9.51 tff(f29670,plain,(
% 58.13/9.51 ! [X0 : $tType] : (member(X0,one_one(X0),field_char_0_Rats(X0)) | ~field_char_0(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f7678])).
% 58.13/9.51 tff(f7678,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (field_char_0(X0) => member(X0,one_one(X0),field_char_0_Rats(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7677_Rats__1)).
% 58.13/9.51 tff(f93188,plain,(
% 58.13/9.51 spl5880_2600),
% 58.13/9.51 inference(avatar_split_clause,[],[f52277,f93186])).
% 58.13/9.51 tff(f93186,plain,(
% 58.13/9.51 spl5880_2600 <=> ! [X0 : $tType] : (~dvd_dvd(X0,zero_zero(X0),one_one(X0)) | ~algebraic_semidom(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2600])])).
% 58.13/9.51 tff(f52277,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (~dvd_dvd(X0,zero_zero(X0),one_one(X0)) | ~algebraic_semidom(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f29481])).
% 58.13/9.51 tff(f29481,plain,(
% 58.13/9.51 ! [X0 : $tType] : (~dvd_dvd(X0,zero_zero(X0),one_one(X0)) | ~algebraic_semidom(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f1995])).
% 58.13/9.51 tff(f1995,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (algebraic_semidom(X0) => ~dvd_dvd(X0,zero_zero(X0),one_one(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1994_not__is__unit__0)).
% 58.13/9.51 tff(f93184,plain,(
% 58.13/9.51 spl5880_2599),
% 58.13/9.51 inference(avatar_split_clause,[],[f51845,f93182])).
% 58.13/9.51 tff(f93182,plain,(
% 58.13/9.51 spl5880_2599 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1886(X0,X1) | ~sP1887(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2599])])).
% 58.13/9.51 tff(f51845,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1886(X0,X1) | ~sP1887(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39092])).
% 58.13/9.51 tff(f39092,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP1886(X0,X1)) & (sP1886(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP1887(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37022])).
% 58.13/9.51 tff(f37022,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP1886(X0,X1)) | ~sP1887(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1887])])).
% 58.13/9.51 tff(f93180,plain,(
% 58.13/9.51 spl5880_2598),
% 58.13/9.51 inference(avatar_split_clause,[],[f51844,f93178])).
% 58.13/9.51 tff(f93178,plain,(
% 58.13/9.51 spl5880_2598 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1886(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1887(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2598])])).
% 58.13/9.51 tff(f51844,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1886(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1887(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f39092])).
% 58.13/9.51 tff(f93176,plain,(
% 58.13/9.51 spl5880_2597),
% 58.13/9.51 inference(avatar_split_clause,[],[f51001,f93174])).
% 58.13/9.51 tff(f93174,plain,(
% 58.13/9.51 spl5880_2597 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1856(X0,X1) | ~sP1857(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2597])])).
% 58.13/9.51 tff(f51001,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1856(X0,X1) | ~sP1857(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38861])).
% 58.13/9.51 tff(f38861,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP1856(X0,X1)) & (sP1856(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP1857(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f36977])).
% 58.13/9.51 tff(f36977,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP1856(X0,X1)) | ~sP1857(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1857])])).
% 58.13/9.51 tff(f93172,plain,(
% 58.13/9.51 spl5880_2596),
% 58.13/9.51 inference(avatar_split_clause,[],[f51000,f93170])).
% 58.13/9.51 tff(f93170,plain,(
% 58.13/9.51 spl5880_2596 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1856(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1857(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2596])])).
% 58.13/9.51 tff(f51000,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1856(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1857(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38861])).
% 58.13/9.51 tff(f93168,plain,(
% 58.13/9.51 spl5880_2595),
% 58.13/9.51 inference(avatar_split_clause,[],[f50993,f93166])).
% 58.13/9.51 tff(f93166,plain,(
% 58.13/9.51 spl5880_2595 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1854(X0,X1) | ~sP1855(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2595])])).
% 58.13/9.51 tff(f50993,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP1854(X0,X1) | ~sP1855(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38853])).
% 58.13/9.51 tff(f38853,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP1854(X0,X1)) & (sP1854(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP1855(X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f36974])).
% 58.13/9.51 tff(f36974,plain,(
% 58.13/9.51 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP1854(X0,X1)) | ~sP1855(X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1855])])).
% 58.13/9.51 tff(f93164,plain,(
% 58.13/9.51 spl5880_2594),
% 58.13/9.51 inference(avatar_split_clause,[],[f50992,f93162])).
% 58.13/9.51 tff(f93162,plain,(
% 58.13/9.51 spl5880_2594 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1854(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1855(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2594])])).
% 58.13/9.51 tff(f50992,plain,(
% 58.13/9.51 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP1854(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP1855(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38853])).
% 58.13/9.51 tff(f93160,plain,(
% 58.13/9.51 spl5880_2593),
% 58.13/9.51 inference(avatar_split_clause,[],[f50887,f93158])).
% 58.13/9.51 tff(f93158,plain,(
% 58.13/9.51 spl5880_2593 <=> ! [X0 : $tType] : (member(X0,one_one(X0),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2593])])).
% 58.13/9.51 tff(f50887,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (member(X0,one_one(X0),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f28326])).
% 58.13/9.51 tff(f28326,plain,(
% 58.13/9.51 ! [X0 : $tType] : (member(X0,one_one(X0),real_Vector_Reals(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 58.13/9.51 inference(ennf_transformation,[],[f5290])).
% 58.13/9.51 tff(f5290,axiom,(
% 58.13/9.51 ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => member(X0,one_one(X0),real_Vector_Reals(X0)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5289_Reals__1)).
% 58.13/9.51 tff(f93156,plain,(
% 58.13/9.51 spl5880_2592),
% 58.13/9.51 inference(avatar_split_clause,[],[f50238,f93154])).
% 58.13/9.51 tff(f93154,plain,(
% 58.13/9.51 spl5880_2592 <=> ! [X0 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X0) = X0),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2592])])).
% 58.13/9.51 tff(f50238,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (aa(nat,nat,semiring_1_of_nat(nat),X0) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f22769])).
% 58.13/9.51 tff(f22769,plain,(
% 58.13/9.51 ! [X0 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X0) = X0),
% 58.13/9.51 inference(rectify,[],[f4028])).
% 58.13/9.51 tff(f4028,axiom,(
% 58.13/9.51 ! [X8 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X8) = X8),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4027_of__nat__id)).
% 58.13/9.51 tff(f93152,plain,(
% 58.13/9.51 spl5880_2591),
% 58.13/9.51 inference(avatar_split_clause,[],[f50232,f93150])).
% 58.13/9.51 tff(f93150,plain,(
% 58.13/9.51 spl5880_2591 <=> ! [X0 : int] : one_one(int) = gcd_gcd(int,X0,one_one(int))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2591])])).
% 58.13/9.51 tff(f50232,plain,(
% 58.13/9.51 ( ! [X0 : int] : (one_one(int) = gcd_gcd(int,X0,one_one(int))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f22763])).
% 58.13/9.51 tff(f22763,plain,(
% 58.13/9.51 ! [X0 : int] : one_one(int) = gcd_gcd(int,X0,one_one(int))),
% 58.13/9.51 inference(rectify,[],[f5615])).
% 58.13/9.51 tff(f5615,axiom,(
% 58.13/9.51 ! [X15 : int] : one_one(int) = gcd_gcd(int,X15,one_one(int))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5614_gcd__1__int)).
% 58.13/9.51 tff(f93148,plain,(
% 58.13/9.51 spl5880_2590),
% 58.13/9.51 inference(avatar_split_clause,[],[f50231,f93146])).
% 58.13/9.51 tff(f93146,plain,(
% 58.13/9.51 spl5880_2590 <=> ! [X0 : num] : imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2590])])).
% 58.13/9.51 tff(f50231,plain,(
% 58.13/9.51 ( ! [X0 : num] : (imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f22762])).
% 58.13/9.51 tff(f22762,plain,(
% 58.13/9.51 ! [X0 : num] : imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)),
% 58.13/9.51 inference(rectify,[],[f4156])).
% 58.13/9.51 tff(f4156,axiom,(
% 58.13/9.51 ! [X20 : num] : aa(num,complex,numeral_numeral(complex),X20) != imaginary_unit),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4155_complex__i__not__numeral)).
% 58.13/9.51 tff(f93144,plain,(
% 58.13/9.51 spl5880_2589),
% 58.13/9.51 inference(avatar_split_clause,[],[f50036,f93141])).
% 58.13/9.51 tff(f93141,plain,(
% 58.13/9.51 spl5880_2589 <=> filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2589])])).
% 58.13/9.51 tff(f50036,plain,(
% 58.13/9.51 filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 58.13/9.51 inference(cnf_transformation,[],[f6261])).
% 58.13/9.51 tff(f6261,axiom,(
% 58.13/9.51 filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6260_filterlim__Suc)).
% 58.13/9.51 tff(f93139,plain,(
% 58.13/9.51 spl5880_2588),
% 58.13/9.51 inference(avatar_split_clause,[],[f50035,f93136])).
% 58.13/9.51 tff(f93136,plain,(
% 58.13/9.51 spl5880_2588 <=> filterlim(real,real,sqrt,at_top(real),at_top(real))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2588])])).
% 58.13/9.51 tff(f50035,plain,(
% 58.13/9.51 filterlim(real,real,sqrt,at_top(real),at_top(real))),
% 58.13/9.51 inference(cnf_transformation,[],[f6431])).
% 58.13/9.51 tff(f6431,axiom,(
% 58.13/9.51 filterlim(real,real,sqrt,at_top(real),at_top(real))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6430_sqrt__at__top)).
% 58.13/9.51 tff(f93134,plain,(
% 58.13/9.51 spl5880_2587),
% 58.13/9.51 inference(avatar_split_clause,[],[f49267,f93131])).
% 58.13/9.51 tff(f93131,plain,(
% 58.13/9.51 spl5880_2587 <=> list_update(vEBT_VEBT,treeList,h93,newnode94) = newlist95),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2587])])).
% 58.13/9.51 tff(f49267,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h93,newnode94) = newlist95),
% 58.13/9.51 inference(cnf_transformation,[],[f9837])).
% 58.13/9.51 tff(f9837,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h93,newnode94) = newlist95),
% 58.13/9.51 introduced(fool_let_definition,[])).
% 58.13/9.51 tff(f93129,plain,(
% 58.13/9.51 spl5880_2586),
% 58.13/9.51 inference(avatar_split_clause,[],[f49234,f93126])).
% 58.13/9.51 tff(f49234,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h79,newnode80) = newlist81),
% 58.13/9.51 inference(cnf_transformation,[],[f9862])).
% 58.13/9.51 tff(f9862,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h79,newnode80) = newlist81),
% 58.13/9.51 introduced(fool_let_definition,[])).
% 58.13/9.51 tff(f93124,plain,(
% 58.13/9.51 spl5880_2585),
% 58.13/9.51 inference(avatar_split_clause,[],[f49213,f93121])).
% 58.13/9.51 tff(f93121,plain,(
% 58.13/9.51 spl5880_2585 <=> list_update(vEBT_VEBT,treeList,h86,newnode87) = newlist88),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2585])])).
% 58.13/9.51 tff(f49213,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h86,newnode87) = newlist88),
% 58.13/9.51 inference(cnf_transformation,[],[f9878])).
% 58.13/9.51 tff(f9878,plain,(
% 58.13/9.51 list_update(vEBT_VEBT,treeList,h86,newnode87) = newlist88),
% 58.13/9.51 introduced(fool_let_definition,[])).
% 58.13/9.51 tff(f93119,plain,(
% 58.13/9.51 spl5880_2584),
% 58.13/9.51 inference(avatar_split_clause,[],[f49133,f93117])).
% 58.13/9.51 tff(f93117,plain,(
% 58.13/9.51 spl5880_2584 <=> ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG330(X0)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2584])])).
% 58.13/9.51 tff(f49133,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG330(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38680])).
% 58.13/9.51 tff(f38680,plain,(
% 58.13/9.51 ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG330(X0))) & (($true = bG330(X0)) | zero_zero(nat) != X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f9980])).
% 58.13/9.51 tff(f93115,plain,(
% 58.13/9.51 spl5880_2583),
% 58.13/9.51 inference(avatar_split_clause,[],[f48986,f93113])).
% 58.13/9.51 tff(f93113,plain,(
% 58.13/9.51 spl5880_2583 <=> ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG404(X0)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2583])])).
% 58.13/9.51 tff(f48986,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG404(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38665])).
% 58.13/9.51 tff(f38665,plain,(
% 58.13/9.51 ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG404(X0))) & (($true = bG404(X0)) | zero_zero(nat) != X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f22508])).
% 58.13/9.51 tff(f22508,plain,(
% 58.13/9.51 ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG404(X0)))),
% 58.13/9.51 inference(rectify,[],[f11086])).
% 58.13/9.51 tff(f11086,plain,(
% 58.13/9.51 ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG404(X1)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG404])])).
% 58.13/9.51 tff(f93111,plain,(
% 58.13/9.51 spl5880_2582),
% 58.13/9.51 inference(avatar_split_clause,[],[f48976,f93109])).
% 58.13/9.51 tff(f93109,plain,(
% 58.13/9.51 spl5880_2582 <=> ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG409(X0)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2582])])).
% 58.13/9.51 tff(f48976,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG409(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38661])).
% 58.13/9.51 tff(f38661,plain,(
% 58.13/9.51 ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG409(X0))) & (($true = bG409(X0)) | zero_zero(nat) != X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f22502])).
% 58.13/9.51 tff(f22502,plain,(
% 58.13/9.51 ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG409(X0)))),
% 58.13/9.51 inference(rectify,[],[f11105])).
% 58.13/9.51 tff(f11105,plain,(
% 58.13/9.51 ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG409(X1)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG409])])).
% 58.13/9.51 tff(f93107,plain,(
% 58.13/9.51 spl5880_2581),
% 58.13/9.51 inference(avatar_split_clause,[],[f48867,f93105])).
% 58.13/9.51 tff(f93105,plain,(
% 58.13/9.51 spl5880_2581 <=> ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG450(X0)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2581])])).
% 58.13/9.51 tff(f48867,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG450(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38640])).
% 58.13/9.51 tff(f38640,plain,(
% 58.13/9.51 ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG450(X0))) & (($true = bG450(X0)) | zero_zero(nat) != X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f22430])).
% 58.13/9.51 tff(f22430,plain,(
% 58.13/9.51 ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG450(X0)))),
% 58.13/9.51 inference(rectify,[],[f11334])).
% 58.13/9.51 tff(f93103,plain,(
% 58.13/9.51 spl5880_2580),
% 58.13/9.51 inference(avatar_split_clause,[],[f48845,f93101])).
% 58.13/9.51 tff(f93101,plain,(
% 58.13/9.51 spl5880_2580 <=> ! [X0 : $o,X1 : nat] : (($true = X0) | ($true != bG461(X0,X1)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2580])])).
% 58.13/9.51 tff(f48845,plain,(
% 58.13/9.51 ( ! [X0 : $o,X1 : nat] : (($true = X0) | ($true != bG461(X0,X1))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38632])).
% 58.13/9.51 tff(f93099,plain,(
% 58.13/9.51 spl5880_2579),
% 58.13/9.51 inference(avatar_split_clause,[],[f48668,f93097])).
% 58.13/9.51 tff(f93097,plain,(
% 58.13/9.51 spl5880_2579 <=> ! [X0 : $o,X1 : $o] : (($true = X0) | ($true != bG551(X0,X1)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2579])])).
% 58.13/9.51 tff(f48668,plain,(
% 58.13/9.51 ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($true != bG551(X0,X1))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38585])).
% 58.13/9.51 tff(f38585,plain,(
% 58.13/9.51 ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != bG551(X0,X1))) & (($true = bG551(X0,X1)) | ($true != X0) | ($true != X1)))),
% 58.13/9.51 inference(flattening,[],[f38584])).
% 58.13/9.51 tff(f38584,plain,(
% 58.13/9.51 ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != bG551(X0,X1))) & (($true = bG551(X0,X1)) | (($true != X0) | ($true != X1))))),
% 58.13/9.51 inference(nnf_transformation,[],[f22290])).
% 58.13/9.51 tff(f22290,plain,(
% 58.13/9.51 ! [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <=> ($true = bG551(X0,X1)))),
% 58.13/9.51 inference(rectify,[],[f12763])).
% 58.13/9.51 tff(f12763,plain,(
% 58.13/9.51 ! [X2 : $o,X1 : $o] : ((($true = X2) & ($true = X1)) <=> ($true = bG551(X2,X1)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG551])])).
% 58.13/9.51 tff(f93095,plain,(
% 58.13/9.51 spl5880_2578),
% 58.13/9.51 inference(avatar_split_clause,[],[f48667,f93093])).
% 58.13/9.51 tff(f93093,plain,(
% 58.13/9.51 spl5880_2578 <=> ! [X0 : $o,X1 : $o] : (($true = X1) | ($true != bG551(X0,X1)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2578])])).
% 58.13/9.51 tff(f48667,plain,(
% 58.13/9.51 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true != bG551(X0,X1))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38585])).
% 58.13/9.51 tff(f93091,plain,(
% 58.13/9.51 spl5880_2577),
% 58.13/9.51 inference(avatar_split_clause,[],[f48357,f93089])).
% 58.13/9.51 tff(f93089,plain,(
% 58.13/9.51 spl5880_2577 <=> ! [X0 : int] : (($true = bG699(X0)) | zero_zero(int) = X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2577])])).
% 58.13/9.51 tff(f48357,plain,(
% 58.13/9.51 ( ! [X0 : int] : (($true = bG699(X0)) | zero_zero(int) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38524])).
% 58.13/9.51 tff(f38524,plain,(
% 58.13/9.51 ! [X0 : int] : ((zero_zero(int) != X0 | ($true != bG699(X0))) & (($true = bG699(X0)) | zero_zero(int) = X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f22069])).
% 58.13/9.51 tff(f22069,plain,(
% 58.13/9.51 ! [X0 : int] : (zero_zero(int) != X0 <=> ($true = bG699(X0)))),
% 58.13/9.51 inference(rectify,[],[f14757])).
% 58.13/9.51 tff(f14757,plain,(
% 58.13/9.51 ! [X1 : int] : (zero_zero(int) != X1 <=> ($true = bG699(X1)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG699])])).
% 58.13/9.51 tff(f93087,plain,(
% 58.13/9.51 spl5880_2576),
% 58.13/9.51 inference(avatar_split_clause,[],[f48350,f93085])).
% 58.13/9.51 tff(f93085,plain,(
% 58.13/9.51 spl5880_2576 <=> ! [X0 : int] : (($true = bG703(X0)) | zero_zero(int) = X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2576])])).
% 58.13/9.51 tff(f48350,plain,(
% 58.13/9.51 ( ! [X0 : int] : (($true = bG703(X0)) | zero_zero(int) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38523])).
% 58.13/9.51 tff(f38523,plain,(
% 58.13/9.51 ! [X0 : int] : ((zero_zero(int) != X0 | ($true != bG703(X0))) & (($true = bG703(X0)) | zero_zero(int) = X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f22064])).
% 58.13/9.51 tff(f22064,plain,(
% 58.13/9.51 ! [X0 : int] : (zero_zero(int) != X0 <=> ($true = bG703(X0)))),
% 58.13/9.51 inference(rectify,[],[f14767])).
% 58.13/9.51 tff(f14767,plain,(
% 58.13/9.51 ! [X1 : int] : (zero_zero(int) != X1 <=> ($true = bG703(X1)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG703])])).
% 58.13/9.51 tff(f93083,plain,(
% 58.13/9.51 spl5880_2575),
% 58.13/9.51 inference(avatar_split_clause,[],[f47714,f93081])).
% 58.13/9.51 tff(f93081,plain,(
% 58.13/9.51 spl5880_2575 <=> ! [X0 : code_integer] : (one_one(code_integer) = X0 | ($true != bG1000(X0)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2575])])).
% 58.13/9.51 tff(f47714,plain,(
% 58.13/9.51 ( ! [X0 : code_integer] : (one_one(code_integer) = X0 | ($true != bG1000(X0))) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38302])).
% 58.13/9.51 tff(f38302,plain,(
% 58.13/9.51 ! [X0 : code_integer] : ((one_one(code_integer) = X0 | ($true != bG1000(X0))) & (($true = bG1000(X0)) | one_one(code_integer) != X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f21629])).
% 58.13/9.51 tff(f21629,plain,(
% 58.13/9.51 ! [X0 : code_integer] : (one_one(code_integer) = X0 <=> ($true = bG1000(X0)))),
% 58.13/9.51 inference(rectify,[],[f17148])).
% 58.13/9.51 tff(f17148,plain,(
% 58.13/9.51 ! [X2 : code_integer] : (one_one(code_integer) = X2 <=> ($true = bG1000(X2)))),
% 58.13/9.51 introduced(fool_formula_definition,[new_symbols(definition,[bG1000])])).
% 58.13/9.51 tff(f93073,plain,(
% 58.13/9.51 spl5880_2574 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408 | ~spl5880_2537),
% 58.13/9.51 inference(avatar_split_clause,[],[f92881,f92877,f90683,f86336,f86300,f93070])).
% 58.13/9.51 tff(f93070,plain,(
% 58.13/9.51 spl5880_2574 <=> vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG714($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2574])])).
% 58.13/9.51 tff(f90683,plain,(
% 58.13/9.51 spl5880_2408 <=> vEBT_vebt_buildup(iG894($true)) = vEBT_vebt_buildup(iG1228($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2408])])).
% 58.13/9.51 tff(f92877,plain,(
% 58.13/9.51 spl5880_2537 <=> vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG717($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2537])])).
% 58.13/9.51 tff(f92881,plain,(
% 58.13/9.51 vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG714($true)) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408 | ~spl5880_2537)),
% 58.13/9.51 inference(forward_demodulation,[],[f92879,f90688])).
% 58.13/9.51 tff(f90688,plain,(
% 58.13/9.51 vEBT_vebt_buildup(iG717($true)) = vEBT_vebt_buildup(iG714($true)) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408)),
% 58.13/9.51 inference(forward_demodulation,[],[f90687,f86338])).
% 58.13/9.51 tff(f90687,plain,(
% 58.13/9.51 vEBT_vebt_buildup(iG894($true)) = vEBT_vebt_buildup(iG714($true)) | (~spl5880_1536 | ~spl5880_2408)),
% 58.13/9.51 inference(forward_demodulation,[],[f90685,f86302])).
% 58.13/9.51 tff(f90685,plain,(
% 58.13/9.51 vEBT_vebt_buildup(iG894($true)) = vEBT_vebt_buildup(iG1228($true)) | ~spl5880_2408),
% 58.13/9.51 inference(avatar_component_clause,[],[f90683])).
% 58.13/9.51 tff(f92879,plain,(
% 58.13/9.51 vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG717($true)) | ~spl5880_2537),
% 58.13/9.51 inference(avatar_component_clause,[],[f92877])).
% 58.13/9.51 tff(f93030,plain,(
% 58.13/9.51 spl5880_2573 | ~spl5880_2325 | ~spl5880_2505),
% 58.13/9.51 inference(avatar_split_clause,[],[f92698,f92695,f90274,f93028])).
% 58.13/9.51 tff(f90274,plain,(
% 58.13/9.51 spl5880_2325 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1832(X0,X1) = lG1819(X0,X1)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2325])])).
% 58.13/9.51 tff(f92695,plain,(
% 58.13/9.51 spl5880_2505 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1826(X0,X1) = lG1819(X0,X1)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2505])])).
% 58.13/9.51 tff(f92698,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1826(X0,X1) = lG1811(X0,X1)) ) | (~spl5880_2325 | ~spl5880_2505)),
% 58.13/9.51 inference(forward_demodulation,[],[f92696,f90277])).
% 58.13/9.51 tff(f90277,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1819(X0,X1) = lG1811(X0,X1)) ) | ~spl5880_2325),
% 58.13/9.51 inference(forward_demodulation,[],[f90275,f65075])).
% 58.13/9.51 tff(f65075,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1811(X0,X1)) )),
% 58.13/9.51 inference(definition_unfolding,[],[f46158,f46124])).
% 58.13/9.51 tff(f46158,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_delete(X0,X1) = lG1811(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f20533])).
% 58.13/9.51 tff(f20533,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_delete(X0,X1) = lG1811(X0,X1)),
% 58.13/9.51 inference(rectify,[],[f20359])).
% 58.13/9.51 tff(f20359,plain,(
% 58.13/9.51 ! [X7 : vEBT_VEBT,X4 : nat] : vEBT_vebt_delete(X7,X4) = lG1811(X7,X4)),
% 58.13/9.51 introduced(fool_let_definition,[new_symbols(definition,[lG1811])])).
% 58.13/9.51 tff(f90275,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1819(X0,X1)) ) | ~spl5880_2325),
% 58.13/9.51 inference(avatar_component_clause,[],[f90274])).
% 58.13/9.51 tff(f92696,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1826(X0,X1) = lG1819(X0,X1)) ) | ~spl5880_2505),
% 58.13/9.51 inference(avatar_component_clause,[],[f92695])).
% 58.13/9.51 tff(f93023,plain,(
% 58.13/9.51 spl5880_2572 | ~spl5880_1536 | ~spl5880_2447),
% 58.13/9.51 inference(avatar_split_clause,[],[f90886,f90883,f86300,f93021])).
% 58.13/9.51 tff(f93021,plain,(
% 58.13/9.51 spl5880_2572 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2221(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2572])])).
% 58.13/9.51 tff(f90883,plain,(
% 58.13/9.51 spl5880_2447 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2221(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2447])])).
% 58.13/9.51 tff(f90886,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2221(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2447)),
% 58.13/9.51 inference(forward_demodulation,[],[f90884,f86302])).
% 58.13/9.51 tff(f90884,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2221(X0,X1)) ) | ~spl5880_2447),
% 58.13/9.51 inference(avatar_component_clause,[],[f90883])).
% 58.13/9.51 tff(f93019,plain,(
% 58.13/9.51 spl5880_2571 | ~spl5880_1536 | ~spl5880_2446),
% 58.13/9.51 inference(avatar_split_clause,[],[f90881,f90878,f86300,f93017])).
% 58.13/9.51 tff(f93017,plain,(
% 58.13/9.51 spl5880_2571 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2222(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2571])])).
% 58.13/9.51 tff(f90878,plain,(
% 58.13/9.51 spl5880_2446 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2222(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2446])])).
% 58.13/9.51 tff(f90881,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2222(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2446)),
% 58.13/9.51 inference(forward_demodulation,[],[f90879,f86302])).
% 58.13/9.51 tff(f90879,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2222(X0,X1)) ) | ~spl5880_2446),
% 58.13/9.51 inference(avatar_component_clause,[],[f90878])).
% 58.13/9.51 tff(f93015,plain,(
% 58.13/9.51 spl5880_2570 | ~spl5880_1536 | ~spl5880_2444),
% 58.13/9.51 inference(avatar_split_clause,[],[f90871,f90868,f86300,f93013])).
% 58.13/9.51 tff(f93013,plain,(
% 58.13/9.51 spl5880_2570 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2193(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2570])])).
% 58.13/9.51 tff(f90868,plain,(
% 58.13/9.51 spl5880_2444 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2193(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2444])])).
% 58.13/9.51 tff(f90871,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2193(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2444)),
% 58.13/9.51 inference(forward_demodulation,[],[f90869,f86302])).
% 58.13/9.51 tff(f90869,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2193(X0,X1)) ) | ~spl5880_2444),
% 58.13/9.51 inference(avatar_component_clause,[],[f90868])).
% 58.13/9.51 tff(f93011,plain,(
% 58.13/9.51 spl5880_2569 | ~spl5880_1536 | ~spl5880_2443),
% 58.13/9.51 inference(avatar_split_clause,[],[f90866,f90863,f86300,f93009])).
% 58.13/9.51 tff(f93009,plain,(
% 58.13/9.51 spl5880_2569 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2194(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2569])])).
% 58.13/9.51 tff(f90863,plain,(
% 58.13/9.51 spl5880_2443 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2194(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2443])])).
% 58.13/9.51 tff(f90866,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2194(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2443)),
% 58.13/9.51 inference(forward_demodulation,[],[f90864,f86302])).
% 58.13/9.51 tff(f90864,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2194(X0,X1)) ) | ~spl5880_2443),
% 58.13/9.51 inference(avatar_component_clause,[],[f90863])).
% 58.13/9.51 tff(f93007,plain,(
% 58.13/9.51 spl5880_2568 | ~spl5880_1536 | ~spl5880_2442),
% 58.13/9.51 inference(avatar_split_clause,[],[f90861,f90858,f86300,f93005])).
% 58.13/9.51 tff(f93005,plain,(
% 58.13/9.51 spl5880_2568 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2188(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2568])])).
% 58.13/9.51 tff(f90858,plain,(
% 58.13/9.51 spl5880_2442 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2188(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2442])])).
% 58.13/9.51 tff(f90861,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2188(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2442)),
% 58.13/9.51 inference(forward_demodulation,[],[f90859,f86302])).
% 58.13/9.51 tff(f90859,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2188(X0,X1)) ) | ~spl5880_2442),
% 58.13/9.51 inference(avatar_component_clause,[],[f90858])).
% 58.13/9.51 tff(f93003,plain,(
% 58.13/9.51 spl5880_2567 | ~spl5880_1536 | ~spl5880_2441),
% 58.13/9.51 inference(avatar_split_clause,[],[f90856,f90853,f86300,f93001])).
% 58.13/9.51 tff(f93001,plain,(
% 58.13/9.51 spl5880_2567 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2189(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2567])])).
% 58.13/9.51 tff(f90853,plain,(
% 58.13/9.51 spl5880_2441 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2189(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2441])])).
% 58.13/9.51 tff(f90856,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2189(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2441)),
% 58.13/9.51 inference(forward_demodulation,[],[f90854,f86302])).
% 58.13/9.51 tff(f90854,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2189(X0,X1)) ) | ~spl5880_2441),
% 58.13/9.51 inference(avatar_component_clause,[],[f90853])).
% 58.13/9.51 tff(f92999,plain,(
% 58.13/9.51 spl5880_2566 | ~spl5880_1536 | ~spl5880_2440),
% 58.13/9.51 inference(avatar_split_clause,[],[f90851,f90848,f86300,f92997])).
% 58.13/9.51 tff(f92997,plain,(
% 58.13/9.51 spl5880_2566 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2183(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2566])])).
% 58.13/9.51 tff(f90848,plain,(
% 58.13/9.51 spl5880_2440 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2183(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2440])])).
% 58.13/9.51 tff(f90851,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2183(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2440)),
% 58.13/9.51 inference(forward_demodulation,[],[f90849,f86302])).
% 58.13/9.51 tff(f90849,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2183(X0,X1)) ) | ~spl5880_2440),
% 58.13/9.51 inference(avatar_component_clause,[],[f90848])).
% 58.13/9.51 tff(f92995,plain,(
% 58.13/9.51 spl5880_2565 | ~spl5880_1536 | ~spl5880_2439),
% 58.13/9.51 inference(avatar_split_clause,[],[f90846,f90843,f86300,f92993])).
% 58.13/9.51 tff(f92993,plain,(
% 58.13/9.51 spl5880_2565 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2184(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2565])])).
% 58.13/9.51 tff(f90843,plain,(
% 58.13/9.51 spl5880_2439 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2184(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2439])])).
% 58.13/9.51 tff(f90846,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2184(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2439)),
% 58.13/9.51 inference(forward_demodulation,[],[f90844,f86302])).
% 58.13/9.51 tff(f90844,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2184(X0,X1)) ) | ~spl5880_2439),
% 58.13/9.51 inference(avatar_component_clause,[],[f90843])).
% 58.13/9.51 tff(f92991,plain,(
% 58.13/9.51 spl5880_2564 | ~spl5880_1536 | ~spl5880_2438),
% 58.13/9.51 inference(avatar_split_clause,[],[f90841,f90838,f86300,f92989])).
% 58.13/9.51 tff(f92989,plain,(
% 58.13/9.51 spl5880_2564 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2166(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2564])])).
% 58.13/9.51 tff(f90838,plain,(
% 58.13/9.51 spl5880_2438 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2166(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2438])])).
% 58.13/9.51 tff(f90841,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2166(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2438)),
% 58.13/9.51 inference(forward_demodulation,[],[f90839,f86302])).
% 58.13/9.51 tff(f90839,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2166(X0,X1)) ) | ~spl5880_2438),
% 58.13/9.51 inference(avatar_component_clause,[],[f90838])).
% 58.13/9.51 tff(f92987,plain,(
% 58.13/9.51 spl5880_2563 | ~spl5880_1536 | ~spl5880_2437),
% 58.13/9.51 inference(avatar_split_clause,[],[f90836,f90833,f86300,f92985])).
% 58.13/9.51 tff(f92985,plain,(
% 58.13/9.51 spl5880_2563 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2167(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2563])])).
% 58.13/9.51 tff(f90833,plain,(
% 58.13/9.51 spl5880_2437 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2167(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2437])])).
% 58.13/9.51 tff(f90836,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2167(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2437)),
% 58.13/9.51 inference(forward_demodulation,[],[f90834,f86302])).
% 58.13/9.51 tff(f90834,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2167(X0,X1)) ) | ~spl5880_2437),
% 58.13/9.51 inference(avatar_component_clause,[],[f90833])).
% 58.13/9.51 tff(f92983,plain,(
% 58.13/9.51 spl5880_2562 | ~spl5880_1536 | ~spl5880_2436),
% 58.13/9.51 inference(avatar_split_clause,[],[f90831,f90828,f86300,f92981])).
% 58.13/9.51 tff(f92981,plain,(
% 58.13/9.51 spl5880_2562 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2162(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2562])])).
% 58.13/9.51 tff(f90828,plain,(
% 58.13/9.51 spl5880_2436 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2162(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2436])])).
% 58.13/9.51 tff(f90831,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2162(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2436)),
% 58.13/9.51 inference(forward_demodulation,[],[f90829,f86302])).
% 58.13/9.51 tff(f90829,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2162(X0,X1)) ) | ~spl5880_2436),
% 58.13/9.51 inference(avatar_component_clause,[],[f90828])).
% 58.13/9.51 tff(f92979,plain,(
% 58.13/9.51 spl5880_2561 | ~spl5880_1536 | ~spl5880_2435),
% 58.13/9.51 inference(avatar_split_clause,[],[f90826,f90823,f86300,f92977])).
% 58.13/9.51 tff(f92977,plain,(
% 58.13/9.51 spl5880_2561 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2163(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2561])])).
% 58.13/9.51 tff(f90823,plain,(
% 58.13/9.51 spl5880_2435 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2163(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2435])])).
% 58.13/9.51 tff(f90826,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2163(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2435)),
% 58.13/9.51 inference(forward_demodulation,[],[f90824,f86302])).
% 58.13/9.51 tff(f90824,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2163(X0,X1)) ) | ~spl5880_2435),
% 58.13/9.51 inference(avatar_component_clause,[],[f90823])).
% 58.13/9.51 tff(f92975,plain,(
% 58.13/9.51 spl5880_2560 | ~spl5880_1536 | ~spl5880_2433),
% 58.13/9.51 inference(avatar_split_clause,[],[f90816,f90813,f86300,f92973])).
% 58.13/9.51 tff(f92973,plain,(
% 58.13/9.51 spl5880_2560 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2157(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2560])])).
% 58.13/9.51 tff(f90813,plain,(
% 58.13/9.51 spl5880_2433 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2157(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2433])])).
% 58.13/9.51 tff(f90816,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2157(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2433)),
% 58.13/9.51 inference(forward_demodulation,[],[f90814,f86302])).
% 58.13/9.51 tff(f90814,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2157(X0,X1)) ) | ~spl5880_2433),
% 58.13/9.51 inference(avatar_component_clause,[],[f90813])).
% 58.13/9.51 tff(f92971,plain,(
% 58.13/9.51 spl5880_2559 | ~spl5880_1536 | ~spl5880_2432),
% 58.13/9.51 inference(avatar_split_clause,[],[f90811,f90808,f86300,f92969])).
% 58.13/9.51 tff(f92969,plain,(
% 58.13/9.51 spl5880_2559 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2158(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2559])])).
% 58.13/9.51 tff(f90808,plain,(
% 58.13/9.51 spl5880_2432 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2158(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2432])])).
% 58.13/9.51 tff(f90811,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2158(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2432)),
% 58.13/9.51 inference(forward_demodulation,[],[f90809,f86302])).
% 58.13/9.51 tff(f90809,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2158(X0,X1)) ) | ~spl5880_2432),
% 58.13/9.51 inference(avatar_component_clause,[],[f90808])).
% 58.13/9.51 tff(f92967,plain,(
% 58.13/9.51 spl5880_2558 | ~spl5880_1536 | ~spl5880_2431),
% 58.13/9.51 inference(avatar_split_clause,[],[f90806,f90803,f86300,f92965])).
% 58.13/9.51 tff(f92965,plain,(
% 58.13/9.51 spl5880_2558 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2159(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2558])])).
% 58.13/9.51 tff(f90803,plain,(
% 58.13/9.51 spl5880_2431 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2159(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2431])])).
% 58.13/9.51 tff(f90806,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2159(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2431)),
% 58.13/9.51 inference(forward_demodulation,[],[f90804,f86302])).
% 58.13/9.51 tff(f90804,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2159(X0,X1)) ) | ~spl5880_2431),
% 58.13/9.51 inference(avatar_component_clause,[],[f90803])).
% 58.13/9.51 tff(f92963,plain,(
% 58.13/9.51 spl5880_2557 | ~spl5880_1536 | ~spl5880_2430),
% 58.13/9.51 inference(avatar_split_clause,[],[f90801,f90798,f86300,f92961])).
% 58.13/9.51 tff(f92961,plain,(
% 58.13/9.51 spl5880_2557 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2143(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2557])])).
% 58.13/9.51 tff(f90798,plain,(
% 58.13/9.51 spl5880_2430 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2143(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2430])])).
% 58.13/9.51 tff(f90801,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2143(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2430)),
% 58.13/9.51 inference(forward_demodulation,[],[f90799,f86302])).
% 58.13/9.51 tff(f90799,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2143(X0,X1)) ) | ~spl5880_2430),
% 58.13/9.51 inference(avatar_component_clause,[],[f90798])).
% 58.13/9.51 tff(f92959,plain,(
% 58.13/9.51 spl5880_2556 | ~spl5880_1536 | ~spl5880_2429),
% 58.13/9.51 inference(avatar_split_clause,[],[f90796,f90793,f86300,f92957])).
% 58.13/9.51 tff(f92957,plain,(
% 58.13/9.51 spl5880_2556 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2144(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2556])])).
% 58.13/9.51 tff(f90793,plain,(
% 58.13/9.51 spl5880_2429 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2144(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2429])])).
% 58.13/9.51 tff(f90796,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2144(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2429)),
% 58.13/9.51 inference(forward_demodulation,[],[f90794,f86302])).
% 58.13/9.51 tff(f90794,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2144(X0,X1)) ) | ~spl5880_2429),
% 58.13/9.51 inference(avatar_component_clause,[],[f90793])).
% 58.13/9.51 tff(f92955,plain,(
% 58.13/9.51 spl5880_2555 | ~spl5880_1536 | ~spl5880_2428),
% 58.13/9.51 inference(avatar_split_clause,[],[f90791,f90788,f86300,f92953])).
% 58.13/9.51 tff(f92953,plain,(
% 58.13/9.51 spl5880_2555 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2145(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2555])])).
% 58.13/9.51 tff(f90788,plain,(
% 58.13/9.51 spl5880_2428 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2145(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2428])])).
% 58.13/9.51 tff(f90791,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2145(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2428)),
% 58.13/9.51 inference(forward_demodulation,[],[f90789,f86302])).
% 58.13/9.51 tff(f90789,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2145(X0,X1)) ) | ~spl5880_2428),
% 58.13/9.51 inference(avatar_component_clause,[],[f90788])).
% 58.13/9.51 tff(f92951,plain,(
% 58.13/9.51 spl5880_2554 | ~spl5880_1544 | ~spl5880_2427),
% 58.13/9.51 inference(avatar_split_clause,[],[f90786,f90783,f86336,f92949])).
% 58.13/9.51 tff(f92949,plain,(
% 58.13/9.51 spl5880_2554 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG717($true) = X0 | ~sP2064(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2554])])).
% 58.13/9.51 tff(f90783,plain,(
% 58.13/9.51 spl5880_2427 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG894($true) = X0 | ~sP2064(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2427])])).
% 58.13/9.51 tff(f90786,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG717($true) = X0 | ~sP2064(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2427)),
% 58.13/9.51 inference(forward_demodulation,[],[f90784,f86338])).
% 58.13/9.51 tff(f90784,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG894($true) = X0 | ~sP2064(X0,X1)) ) | ~spl5880_2427),
% 58.13/9.51 inference(avatar_component_clause,[],[f90783])).
% 58.13/9.51 tff(f92947,plain,(
% 58.13/9.51 spl5880_2553 | ~spl5880_1536 | ~spl5880_2426),
% 58.13/9.51 inference(avatar_split_clause,[],[f90781,f90778,f86300,f92945])).
% 58.13/9.51 tff(f92945,plain,(
% 58.13/9.51 spl5880_2553 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2056(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2553])])).
% 58.13/9.51 tff(f90778,plain,(
% 58.13/9.51 spl5880_2426 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2056(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2426])])).
% 58.13/9.51 tff(f90781,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2056(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2426)),
% 58.13/9.51 inference(forward_demodulation,[],[f90779,f86302])).
% 58.13/9.51 tff(f90779,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2056(X0,X1)) ) | ~spl5880_2426),
% 58.13/9.51 inference(avatar_component_clause,[],[f90778])).
% 58.13/9.51 tff(f92943,plain,(
% 58.13/9.51 spl5880_2552 | ~spl5880_1544 | ~spl5880_2425),
% 58.13/9.51 inference(avatar_split_clause,[],[f90776,f90773,f86336,f92941])).
% 58.13/9.51 tff(f92941,plain,(
% 58.13/9.51 spl5880_2552 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2052(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2552])])).
% 58.13/9.51 tff(f90773,plain,(
% 58.13/9.51 spl5880_2425 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2052(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2425])])).
% 58.13/9.51 tff(f90776,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2052(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2425)),
% 58.13/9.51 inference(forward_demodulation,[],[f90774,f86338])).
% 58.13/9.51 tff(f90774,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2052(X0,X1)) ) | ~spl5880_2425),
% 58.13/9.51 inference(avatar_component_clause,[],[f90773])).
% 58.13/9.51 tff(f92939,plain,(
% 58.13/9.51 spl5880_2551 | ~spl5880_1536 | ~spl5880_2424),
% 58.13/9.51 inference(avatar_split_clause,[],[f90771,f90768,f86300,f92937])).
% 58.13/9.51 tff(f92937,plain,(
% 58.13/9.51 spl5880_2551 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2053(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2551])])).
% 58.13/9.51 tff(f90768,plain,(
% 58.13/9.51 spl5880_2424 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2053(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2424])])).
% 58.13/9.51 tff(f90771,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG714($true) = X1 | ~sP2053(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2424)),
% 58.13/9.51 inference(forward_demodulation,[],[f90769,f86302])).
% 58.13/9.51 tff(f90769,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2053(X0,X1)) ) | ~spl5880_2424),
% 58.13/9.51 inference(avatar_component_clause,[],[f90768])).
% 58.13/9.51 tff(f92935,plain,(
% 58.13/9.51 spl5880_2550 | ~spl5880_1544 | ~spl5880_2422),
% 58.13/9.51 inference(avatar_split_clause,[],[f90761,f90758,f86336,f92933])).
% 58.13/9.51 tff(f92933,plain,(
% 58.13/9.51 spl5880_2550 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2051(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2550])])).
% 58.13/9.51 tff(f90758,plain,(
% 58.13/9.51 spl5880_2422 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2051(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2422])])).
% 58.13/9.51 tff(f90761,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG717($true) = X1 | ~sP2051(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2422)),
% 58.13/9.51 inference(forward_demodulation,[],[f90759,f86338])).
% 58.13/9.51 tff(f90759,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2051(X0,X1)) ) | ~spl5880_2422),
% 58.13/9.51 inference(avatar_component_clause,[],[f90758])).
% 58.13/9.51 tff(f92931,plain,(
% 58.13/9.51 spl5880_2549 | ~spl5880_1536 | ~spl5880_2421),
% 58.13/9.51 inference(avatar_split_clause,[],[f90756,f90753,f86300,f92929])).
% 58.13/9.51 tff(f92929,plain,(
% 58.13/9.51 spl5880_2549 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2047(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2549])])).
% 58.13/9.51 tff(f90753,plain,(
% 58.13/9.51 spl5880_2421 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2047(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2421])])).
% 58.13/9.51 tff(f90756,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2047(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2421)),
% 58.13/9.51 inference(forward_demodulation,[],[f90754,f86302])).
% 58.13/9.51 tff(f90754,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2047(X0,X1)) ) | ~spl5880_2421),
% 58.13/9.51 inference(avatar_component_clause,[],[f90753])).
% 58.13/9.51 tff(f92927,plain,(
% 58.13/9.51 spl5880_2548 | ~spl5880_1536 | ~spl5880_2420),
% 58.13/9.51 inference(avatar_split_clause,[],[f90751,f90748,f86300,f92925])).
% 58.13/9.51 tff(f92925,plain,(
% 58.13/9.51 spl5880_2548 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2048(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2548])])).
% 58.13/9.51 tff(f90748,plain,(
% 58.13/9.51 spl5880_2420 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2048(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2420])])).
% 58.13/9.51 tff(f90751,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2048(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2420)),
% 58.13/9.51 inference(forward_demodulation,[],[f90749,f86302])).
% 58.13/9.51 tff(f90749,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2048(X0,X1)) ) | ~spl5880_2420),
% 58.13/9.51 inference(avatar_component_clause,[],[f90748])).
% 58.13/9.51 tff(f92923,plain,(
% 58.13/9.51 spl5880_2547 | ~spl5880_1536 | ~spl5880_2419),
% 58.13/9.51 inference(avatar_split_clause,[],[f90746,f90743,f86300,f92921])).
% 58.13/9.51 tff(f92921,plain,(
% 58.13/9.51 spl5880_2547 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2049(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2547])])).
% 58.13/9.51 tff(f90743,plain,(
% 58.13/9.51 spl5880_2419 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2049(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2419])])).
% 58.13/9.51 tff(f90746,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2049(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2419)),
% 58.13/9.51 inference(forward_demodulation,[],[f90744,f86302])).
% 58.13/9.51 tff(f90744,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2049(X0,X1)) ) | ~spl5880_2419),
% 58.13/9.51 inference(avatar_component_clause,[],[f90743])).
% 58.13/9.51 tff(f92919,plain,(
% 58.13/9.51 spl5880_2546 | ~spl5880_1536 | ~spl5880_2418),
% 58.13/9.51 inference(avatar_split_clause,[],[f90741,f90738,f86300,f92917])).
% 58.13/9.51 tff(f92917,plain,(
% 58.13/9.51 spl5880_2546 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2050(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2546])])).
% 58.13/9.51 tff(f90738,plain,(
% 58.13/9.51 spl5880_2418 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2050(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2418])])).
% 58.13/9.51 tff(f90741,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2050(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2418)),
% 58.13/9.51 inference(forward_demodulation,[],[f90739,f86302])).
% 58.13/9.51 tff(f90739,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2050(X0,X1)) ) | ~spl5880_2418),
% 58.13/9.51 inference(avatar_component_clause,[],[f90738])).
% 58.13/9.51 tff(f92915,plain,(
% 58.13/9.51 spl5880_2545 | ~spl5880_1536 | ~spl5880_2417),
% 58.13/9.51 inference(avatar_split_clause,[],[f90736,f90733,f86300,f92913])).
% 58.13/9.51 tff(f92913,plain,(
% 58.13/9.51 spl5880_2545 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2044(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2545])])).
% 58.13/9.51 tff(f90733,plain,(
% 58.13/9.51 spl5880_2417 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2044(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2417])])).
% 58.13/9.51 tff(f90736,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2044(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2417)),
% 58.13/9.51 inference(forward_demodulation,[],[f90734,f86302])).
% 58.13/9.51 tff(f90734,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2044(X0,X1)) ) | ~spl5880_2417),
% 58.13/9.51 inference(avatar_component_clause,[],[f90733])).
% 58.13/9.51 tff(f92911,plain,(
% 58.13/9.51 spl5880_2544 | ~spl5880_1536 | ~spl5880_2416),
% 58.13/9.51 inference(avatar_split_clause,[],[f90731,f90728,f86300,f92909])).
% 58.13/9.51 tff(f92909,plain,(
% 58.13/9.51 spl5880_2544 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2045(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2544])])).
% 58.13/9.51 tff(f90728,plain,(
% 58.13/9.51 spl5880_2416 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2045(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2416])])).
% 58.13/9.51 tff(f90731,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2045(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2416)),
% 58.13/9.51 inference(forward_demodulation,[],[f90729,f86302])).
% 58.13/9.51 tff(f90729,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2045(X0,X1)) ) | ~spl5880_2416),
% 58.13/9.51 inference(avatar_component_clause,[],[f90728])).
% 58.13/9.51 tff(f92907,plain,(
% 58.13/9.51 spl5880_2543 | ~spl5880_1536 | ~spl5880_2415),
% 58.13/9.51 inference(avatar_split_clause,[],[f90726,f90723,f86300,f92905])).
% 58.13/9.51 tff(f92905,plain,(
% 58.13/9.51 spl5880_2543 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2046(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2543])])).
% 58.13/9.51 tff(f90723,plain,(
% 58.13/9.51 spl5880_2415 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2046(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2415])])).
% 58.13/9.51 tff(f90726,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2046(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2415)),
% 58.13/9.51 inference(forward_demodulation,[],[f90724,f86302])).
% 58.13/9.51 tff(f90724,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2046(X0,X1)) ) | ~spl5880_2415),
% 58.13/9.51 inference(avatar_component_clause,[],[f90723])).
% 58.13/9.51 tff(f92903,plain,(
% 58.13/9.51 spl5880_2542 | ~spl5880_1544 | ~spl5880_2414),
% 58.13/9.51 inference(avatar_split_clause,[],[f90721,f90718,f86336,f92901])).
% 58.13/9.51 tff(f92901,plain,(
% 58.13/9.51 spl5880_2542 <=> ! [X0 : nat,X1 : list(nat)] : (iG717($true) = X0 | ~sP2043(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2542])])).
% 58.13/9.51 tff(f90718,plain,(
% 58.13/9.51 spl5880_2414 <=> ! [X0 : nat,X1 : list(nat)] : (iG894($true) = X0 | ~sP2043(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2414])])).
% 58.13/9.51 tff(f90721,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : list(nat)] : (iG717($true) = X0 | ~sP2043(X0,X1)) ) | (~spl5880_1544 | ~spl5880_2414)),
% 58.13/9.51 inference(forward_demodulation,[],[f90719,f86338])).
% 58.13/9.51 tff(f90719,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : list(nat)] : (iG894($true) = X0 | ~sP2043(X0,X1)) ) | ~spl5880_2414),
% 58.13/9.51 inference(avatar_component_clause,[],[f90718])).
% 58.13/9.51 tff(f92899,plain,(
% 58.13/9.51 spl5880_2541 | ~spl5880_1536 | ~spl5880_2413),
% 58.13/9.51 inference(avatar_split_clause,[],[f90716,f90713,f86300,f92897])).
% 58.13/9.51 tff(f92897,plain,(
% 58.13/9.51 spl5880_2541 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2042(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2541])])).
% 58.13/9.51 tff(f90713,plain,(
% 58.13/9.51 spl5880_2413 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2042(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2413])])).
% 58.13/9.51 tff(f90716,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG714($true) = X0 | ~sP2042(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2413)),
% 58.13/9.51 inference(forward_demodulation,[],[f90714,f86302])).
% 58.13/9.51 tff(f90714,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2042(X0,X1)) ) | ~spl5880_2413),
% 58.13/9.51 inference(avatar_component_clause,[],[f90713])).
% 58.13/9.51 tff(f92895,plain,(
% 58.13/9.51 spl5880_2540 | ~spl5880_1536 | ~spl5880_2410),
% 58.13/9.51 inference(avatar_split_clause,[],[f90701,f90698,f86300,f92893])).
% 58.13/9.51 tff(f92893,plain,(
% 58.13/9.51 spl5880_2540 <=> ! [X0 : nat] : divide_divide(nat,X0,iG714($true)) = X0),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2540])])).
% 58.13/9.51 tff(f90698,plain,(
% 58.13/9.51 spl5880_2410 <=> ! [X0 : nat] : divide_divide(nat,X0,iG1228($true)) = X0),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2410])])).
% 58.13/9.51 tff(f90701,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (divide_divide(nat,X0,iG714($true)) = X0) ) | (~spl5880_1536 | ~spl5880_2410)),
% 58.13/9.51 inference(forward_demodulation,[],[f90699,f86302])).
% 58.13/9.51 tff(f90699,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (divide_divide(nat,X0,iG1228($true)) = X0) ) | ~spl5880_2410),
% 58.13/9.51 inference(avatar_component_clause,[],[f90698])).
% 58.13/9.51 tff(f92891,plain,(
% 58.13/9.51 spl5880_2539 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408 | ~spl5880_2409),
% 58.13/9.51 inference(avatar_split_clause,[],[f90696,f90690,f90683,f86336,f86300,f92888])).
% 58.13/9.51 tff(f92888,plain,(
% 58.13/9.51 spl5880_2539 <=> iG714($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG714($true)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2539])])).
% 58.13/9.51 tff(f90690,plain,(
% 58.13/9.51 spl5880_2409 <=> iG1228($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG894($true)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2409])])).
% 58.13/9.51 tff(f90696,plain,(
% 58.13/9.51 iG714($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG714($true))) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408 | ~spl5880_2409)),
% 58.13/9.51 inference(forward_demodulation,[],[f90695,f86302])).
% 58.13/9.51 tff(f90695,plain,(
% 58.13/9.51 iG1228($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG714($true))) | (~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408 | ~spl5880_2409)),
% 58.13/9.51 inference(forward_demodulation,[],[f90694,f90688])).
% 58.13/9.51 tff(f90694,plain,(
% 58.13/9.51 iG1228($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG717($true))) | (~spl5880_1544 | ~spl5880_2409)),
% 58.13/9.51 inference(forward_demodulation,[],[f90692,f86338])).
% 58.13/9.51 tff(f90692,plain,(
% 58.13/9.51 iG1228($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG894($true))) | ~spl5880_2409),
% 58.13/9.51 inference(avatar_component_clause,[],[f90690])).
% 58.13/9.51 tff(f92886,plain,(
% 58.13/9.51 spl5880_2538 | ~spl5880_1536 | ~spl5880_1544 | ~spl5880_2408),
% 58.13/9.51 inference(avatar_split_clause,[],[f90688,f90683,f86336,f86300,f92883])).
% 58.13/9.51 tff(f92880,plain,(
% 58.13/9.51 spl5880_2537 | ~spl5880_1544 | ~spl5880_2407),
% 58.13/9.51 inference(avatar_split_clause,[],[f90681,f90677,f86336,f92877])).
% 58.13/9.51 tff(f90677,plain,(
% 58.13/9.51 spl5880_2407 <=> vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2407])])).
% 58.13/9.51 tff(f90681,plain,(
% 58.13/9.51 vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG717($true)) | (~spl5880_1544 | ~spl5880_2407)),
% 58.13/9.51 inference(forward_demodulation,[],[f90679,f86338])).
% 58.13/9.51 tff(f90679,plain,(
% 58.13/9.51 vEBT_Leaf($false,$false) = vEBT_vebt_buildup(iG894($true)) | ~spl5880_2407),
% 58.13/9.51 inference(avatar_component_clause,[],[f90677])).
% 58.13/9.51 tff(f92875,plain,(
% 58.13/9.51 spl5880_2536 | ~spl5880_1544 | ~spl5880_2400),
% 58.13/9.51 inference(avatar_split_clause,[],[f90645,f90642,f86336,f92873])).
% 58.13/9.51 tff(f92873,plain,(
% 58.13/9.51 spl5880_2536 <=> ! [X3 : $tType,X5 : X3] : iG458(X3,iG717($true),X5) = X5),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2536])])).
% 58.13/9.51 tff(f90642,plain,(
% 58.13/9.51 spl5880_2400 <=> ! [X3 : $tType,X5 : X3] : iG458(X3,iG894($true),X5) = X5),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2400])])).
% 58.13/9.51 tff(f90645,plain,(
% 58.13/9.51 ( ! [X3 : $tType,X5 : X3] : (iG458(X3,iG717($true),X5) = X5) ) | (~spl5880_1544 | ~spl5880_2400)),
% 58.13/9.51 inference(forward_demodulation,[],[f90643,f86338])).
% 58.13/9.51 tff(f90643,plain,(
% 58.13/9.51 ( ! [X3 : $tType,X5 : X3] : (iG458(X3,iG894($true),X5) = X5) ) | ~spl5880_2400),
% 58.13/9.51 inference(avatar_component_clause,[],[f90642])).
% 58.13/9.51 tff(f92871,plain,(
% 58.13/9.51 spl5880_2535 | ~spl5880_1544 | ~spl5880_2399),
% 58.13/9.51 inference(avatar_split_clause,[],[f90640,f90637,f86336,f92869])).
% 58.13/9.51 tff(f92869,plain,(
% 58.13/9.51 spl5880_2535 <=> ! [X2 : $tType] : one_one(X2) = iG513(X2,iG717($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2535])])).
% 58.13/9.51 tff(f90637,plain,(
% 58.13/9.51 spl5880_2399 <=> ! [X2 : $tType] : one_one(X2) = iG513(X2,iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2399])])).
% 58.13/9.51 tff(f90640,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG513(X2,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2399)),
% 58.13/9.51 inference(forward_demodulation,[],[f90638,f86338])).
% 58.13/9.51 tff(f90638,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG513(X2,iG894($true))) ) | ~spl5880_2399),
% 58.13/9.51 inference(avatar_component_clause,[],[f90637])).
% 58.13/9.51 tff(f92867,plain,(
% 58.13/9.51 spl5880_2534 | ~spl5880_1544 | ~spl5880_2398),
% 58.13/9.51 inference(avatar_split_clause,[],[f90635,f90632,f86336,f92865])).
% 58.13/9.51 tff(f92865,plain,(
% 58.13/9.51 spl5880_2534 <=> ! [X2 : $tType] : one_one(X2) = iG514(X2,iG717($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2534])])).
% 58.13/9.51 tff(f90632,plain,(
% 58.13/9.51 spl5880_2398 <=> ! [X2 : $tType] : one_one(X2) = iG514(X2,iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2398])])).
% 58.13/9.51 tff(f90635,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG514(X2,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2398)),
% 58.13/9.51 inference(forward_demodulation,[],[f90633,f86338])).
% 58.13/9.51 tff(f90633,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG514(X2,iG894($true))) ) | ~spl5880_2398),
% 58.13/9.51 inference(avatar_component_clause,[],[f90632])).
% 58.13/9.51 tff(f92863,plain,(
% 58.13/9.51 spl5880_2533 | ~spl5880_1544 | ~spl5880_2397),
% 58.13/9.51 inference(avatar_split_clause,[],[f90630,f90627,f86336,f92861])).
% 58.13/9.51 tff(f90627,plain,(
% 58.13/9.51 spl5880_2397 <=> ! [X2 : $tType] : zero_zero(X2) = iG546(X2,iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2397])])).
% 58.13/9.51 tff(f90630,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (zero_zero(X2) = iG546(X2,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2397)),
% 58.13/9.51 inference(forward_demodulation,[],[f90628,f86338])).
% 58.13/9.51 tff(f90628,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (zero_zero(X2) = iG546(X2,iG894($true))) ) | ~spl5880_2397),
% 58.13/9.51 inference(avatar_component_clause,[],[f90627])).
% 58.13/9.51 tff(f92859,plain,(
% 58.13/9.51 spl5880_2532 | ~spl5880_1544 | ~spl5880_2396),
% 58.13/9.51 inference(avatar_split_clause,[],[f90625,f90622,f86336,f92857])).
% 58.13/9.51 tff(f90622,plain,(
% 58.13/9.51 spl5880_2396 <=> ! [X2 : $tType] : one_one(X2) = iG547(X2,iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2396])])).
% 58.13/9.51 tff(f90625,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG547(X2,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2396)),
% 58.13/9.51 inference(forward_demodulation,[],[f90623,f86338])).
% 58.13/9.51 tff(f90623,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG547(X2,iG894($true))) ) | ~spl5880_2396),
% 58.13/9.51 inference(avatar_component_clause,[],[f90622])).
% 58.13/9.51 tff(f92855,plain,(
% 58.13/9.51 spl5880_2531 | ~spl5880_1544 | ~spl5880_2395),
% 58.13/9.51 inference(avatar_split_clause,[],[f90620,f90617,f86336,f92853])).
% 58.13/9.51 tff(f92853,plain,(
% 58.13/9.51 spl5880_2531 <=> ! [X2 : $tType] : one_one(X2) = iG548(X2,iG717($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2531])])).
% 58.13/9.51 tff(f90617,plain,(
% 58.13/9.51 spl5880_2395 <=> ! [X2 : $tType] : one_one(X2) = iG548(X2,iG894($true))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2395])])).
% 58.13/9.51 tff(f90620,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG548(X2,iG717($true))) ) | (~spl5880_1544 | ~spl5880_2395)),
% 58.13/9.51 inference(forward_demodulation,[],[f90618,f86338])).
% 58.13/9.51 tff(f90618,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG548(X2,iG894($true))) ) | ~spl5880_2395),
% 58.13/9.51 inference(avatar_component_clause,[],[f90617])).
% 58.13/9.51 tff(f92851,plain,(
% 58.13/9.51 spl5880_2530 | ~spl5880_1544 | ~spl5880_2394),
% 58.13/9.51 inference(avatar_split_clause,[],[f90615,f90612,f86336,f92849])).
% 58.13/9.51 tff(f92849,plain,(
% 58.13/9.51 spl5880_2530 <=> ! [X3 : nat] : gcd_gcd(nat,X3,iG717($true)) = X3),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2530])])).
% 58.13/9.51 tff(f90612,plain,(
% 58.13/9.51 spl5880_2394 <=> ! [X3 : nat] : gcd_gcd(nat,X3,iG894($true)) = X3),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2394])])).
% 58.13/9.51 tff(f90615,plain,(
% 58.13/9.51 ( ! [X3 : nat] : (gcd_gcd(nat,X3,iG717($true)) = X3) ) | (~spl5880_1544 | ~spl5880_2394)),
% 58.13/9.51 inference(forward_demodulation,[],[f90613,f86338])).
% 58.13/9.51 tff(f90613,plain,(
% 58.13/9.51 ( ! [X3 : nat] : (gcd_gcd(nat,X3,iG894($true)) = X3) ) | ~spl5880_2394),
% 58.13/9.51 inference(avatar_component_clause,[],[f90612])).
% 58.13/9.51 tff(f92847,plain,(
% 58.13/9.51 spl5880_2529 | ~spl5880_1536 | ~spl5880_2393),
% 58.13/9.51 inference(avatar_split_clause,[],[f90610,f90607,f86300,f92845])).
% 58.13/9.51 tff(f92845,plain,(
% 58.13/9.51 spl5880_2529 <=> ! [X3 : $o] : (~iG802(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2529])])).
% 58.13/9.51 tff(f90607,plain,(
% 58.13/9.51 spl5880_2393 <=> ! [X3 : $o] : (~iG802(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2393])])).
% 58.13/9.51 tff(f90610,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG802(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2393)),
% 58.13/9.51 inference(forward_demodulation,[],[f90608,f86302])).
% 58.13/9.51 tff(f90608,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG802(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2393),
% 58.13/9.51 inference(avatar_component_clause,[],[f90607])).
% 58.13/9.51 tff(f92843,plain,(
% 58.13/9.51 spl5880_2528 | ~spl5880_1536 | ~spl5880_2392),
% 58.13/9.51 inference(avatar_split_clause,[],[f90605,f90602,f86300,f92841])).
% 58.13/9.51 tff(f92841,plain,(
% 58.13/9.51 spl5880_2528 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG802(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2528])])).
% 58.13/9.51 tff(f90602,plain,(
% 58.13/9.51 spl5880_2392 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG802(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2392])])).
% 58.13/9.51 tff(f90605,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG802(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2392)),
% 58.13/9.51 inference(forward_demodulation,[],[f90603,f86302])).
% 58.13/9.51 tff(f90603,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG802(X0,X1)) ) | ~spl5880_2392),
% 58.13/9.51 inference(avatar_component_clause,[],[f90602])).
% 58.13/9.51 tff(f92839,plain,(
% 58.13/9.51 spl5880_2527 | ~spl5880_1536 | ~spl5880_2391),
% 58.13/9.51 inference(avatar_split_clause,[],[f90600,f90597,f86300,f92837])).
% 58.13/9.51 tff(f92837,plain,(
% 58.13/9.51 spl5880_2527 <=> ! [X3 : $o] : (~iG810(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2527])])).
% 58.13/9.51 tff(f90597,plain,(
% 58.13/9.51 spl5880_2391 <=> ! [X3 : $o] : (~iG810(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2391])])).
% 58.13/9.51 tff(f90600,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG810(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2391)),
% 58.13/9.51 inference(forward_demodulation,[],[f90598,f86302])).
% 58.13/9.51 tff(f90598,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG810(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2391),
% 58.13/9.51 inference(avatar_component_clause,[],[f90597])).
% 58.13/9.51 tff(f92835,plain,(
% 58.13/9.51 spl5880_2526 | ~spl5880_1536 | ~spl5880_2389),
% 58.13/9.51 inference(avatar_split_clause,[],[f90590,f90587,f86300,f92833])).
% 58.13/9.51 tff(f92833,plain,(
% 58.13/9.51 spl5880_2526 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG810(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2526])])).
% 58.13/9.51 tff(f90587,plain,(
% 58.13/9.51 spl5880_2389 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG810(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2389])])).
% 58.13/9.51 tff(f90590,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG810(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2389)),
% 58.13/9.51 inference(forward_demodulation,[],[f90588,f86302])).
% 58.13/9.51 tff(f90588,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG810(X0,X1)) ) | ~spl5880_2389),
% 58.13/9.51 inference(avatar_component_clause,[],[f90587])).
% 58.13/9.51 tff(f92831,plain,(
% 58.13/9.51 spl5880_2525 | ~spl5880_1536 | ~spl5880_2388),
% 58.13/9.51 inference(avatar_split_clause,[],[f90585,f90582,f86300,f92829])).
% 58.13/9.51 tff(f92829,plain,(
% 58.13/9.51 spl5880_2525 <=> ! [X3 : $o] : (~iG842(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2525])])).
% 58.13/9.51 tff(f90582,plain,(
% 58.13/9.51 spl5880_2388 <=> ! [X3 : $o] : (~iG842(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2388])])).
% 58.13/9.51 tff(f90585,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG842(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2388)),
% 58.13/9.51 inference(forward_demodulation,[],[f90583,f86302])).
% 58.13/9.51 tff(f90583,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG842(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2388),
% 58.13/9.51 inference(avatar_component_clause,[],[f90582])).
% 58.13/9.51 tff(f92827,plain,(
% 58.13/9.51 spl5880_2524 | ~spl5880_1536 | ~spl5880_2387),
% 58.13/9.51 inference(avatar_split_clause,[],[f90580,f90577,f86300,f92825])).
% 58.13/9.51 tff(f92825,plain,(
% 58.13/9.51 spl5880_2524 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG842(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2524])])).
% 58.13/9.51 tff(f90577,plain,(
% 58.13/9.51 spl5880_2387 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG842(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2387])])).
% 58.13/9.51 tff(f90580,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG842(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2387)),
% 58.13/9.51 inference(forward_demodulation,[],[f90578,f86302])).
% 58.13/9.51 tff(f90578,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG842(X0,X1)) ) | ~spl5880_2387),
% 58.13/9.51 inference(avatar_component_clause,[],[f90577])).
% 58.13/9.51 tff(f92823,plain,(
% 58.13/9.51 spl5880_2523 | ~spl5880_1536 | ~spl5880_2386),
% 58.13/9.51 inference(avatar_split_clause,[],[f90575,f90572,f86300,f92821])).
% 58.13/9.51 tff(f92821,plain,(
% 58.13/9.51 spl5880_2523 <=> ! [X3 : $o] : (~iG850(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2523])])).
% 58.13/9.51 tff(f90572,plain,(
% 58.13/9.51 spl5880_2386 <=> ! [X3 : $o] : (~iG850(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2386])])).
% 58.13/9.51 tff(f90575,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG850(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2386)),
% 58.13/9.51 inference(forward_demodulation,[],[f90573,f86302])).
% 58.13/9.51 tff(f90573,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG850(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2386),
% 58.13/9.51 inference(avatar_component_clause,[],[f90572])).
% 58.13/9.51 tff(f92819,plain,(
% 58.13/9.51 spl5880_2522 | ~spl5880_1536 | ~spl5880_2385),
% 58.13/9.51 inference(avatar_split_clause,[],[f90570,f90567,f86300,f92817])).
% 58.13/9.51 tff(f92817,plain,(
% 58.13/9.51 spl5880_2522 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG850(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2522])])).
% 58.13/9.51 tff(f90567,plain,(
% 58.13/9.51 spl5880_2385 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG850(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2385])])).
% 58.13/9.51 tff(f90570,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG850(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2385)),
% 58.13/9.51 inference(forward_demodulation,[],[f90568,f86302])).
% 58.13/9.51 tff(f90568,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG850(X0,X1)) ) | ~spl5880_2385),
% 58.13/9.51 inference(avatar_component_clause,[],[f90567])).
% 58.13/9.51 tff(f92811,plain,(
% 58.13/9.51 spl5880_2521 | ~spl5880_1536 | ~spl5880_2380),
% 58.13/9.51 inference(avatar_split_clause,[],[f90549,f90546,f86300,f92809])).
% 58.13/9.51 tff(f92809,plain,(
% 58.13/9.51 spl5880_2521 <=> ! [X3 : $o] : (~iG933(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2521])])).
% 58.13/9.51 tff(f90546,plain,(
% 58.13/9.51 spl5880_2380 <=> ! [X3 : $o] : (~iG933(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2380])])).
% 58.13/9.51 tff(f90549,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG933(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2380)),
% 58.13/9.51 inference(forward_demodulation,[],[f90547,f86302])).
% 58.13/9.51 tff(f90547,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG933(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2380),
% 58.13/9.51 inference(avatar_component_clause,[],[f90546])).
% 58.13/9.51 tff(f92807,plain,(
% 58.13/9.51 spl5880_2520 | ~spl5880_1536 | ~spl5880_2378),
% 58.13/9.51 inference(avatar_split_clause,[],[f90539,f90536,f86300,f92805])).
% 58.13/9.51 tff(f92805,plain,(
% 58.13/9.51 spl5880_2520 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG933(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2520])])).
% 58.13/9.51 tff(f90536,plain,(
% 58.13/9.51 spl5880_2378 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG933(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2378])])).
% 58.13/9.51 tff(f90539,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG933(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2378)),
% 58.13/9.51 inference(forward_demodulation,[],[f90537,f86302])).
% 58.13/9.51 tff(f90537,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG933(X0,X1)) ) | ~spl5880_2378),
% 58.13/9.51 inference(avatar_component_clause,[],[f90536])).
% 58.13/9.51 tff(f92803,plain,(
% 58.13/9.51 spl5880_2519 | ~spl5880_1536 | ~spl5880_2377),
% 58.13/9.51 inference(avatar_split_clause,[],[f90534,f90531,f86300,f92801])).
% 58.13/9.51 tff(f92801,plain,(
% 58.13/9.51 spl5880_2519 <=> ! [X3 : $o] : (~iG945(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2519])])).
% 58.13/9.51 tff(f90531,plain,(
% 58.13/9.51 spl5880_2377 <=> ! [X3 : $o] : (~iG945(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2377])])).
% 58.13/9.51 tff(f90534,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG945(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2377)),
% 58.13/9.51 inference(forward_demodulation,[],[f90532,f86302])).
% 58.13/9.51 tff(f90532,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG945(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2377),
% 58.13/9.51 inference(avatar_component_clause,[],[f90531])).
% 58.13/9.51 tff(f92799,plain,(
% 58.13/9.51 spl5880_2518 | ~spl5880_1536 | ~spl5880_2376),
% 58.13/9.51 inference(avatar_split_clause,[],[f90529,f90526,f86300,f92797])).
% 58.13/9.51 tff(f92797,plain,(
% 58.13/9.51 spl5880_2518 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG945(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2518])])).
% 58.13/9.51 tff(f90526,plain,(
% 58.13/9.51 spl5880_2376 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG945(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2376])])).
% 58.13/9.51 tff(f90529,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG945(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2376)),
% 58.13/9.51 inference(forward_demodulation,[],[f90527,f86302])).
% 58.13/9.51 tff(f90527,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG945(X0,X1)) ) | ~spl5880_2376),
% 58.13/9.51 inference(avatar_component_clause,[],[f90526])).
% 58.13/9.51 tff(f92795,plain,(
% 58.13/9.51 spl5880_2517 | ~spl5880_1536 | ~spl5880_2375),
% 58.13/9.51 inference(avatar_split_clause,[],[f90524,f90521,f86300,f92793])).
% 58.13/9.51 tff(f92793,plain,(
% 58.13/9.51 spl5880_2517 <=> ! [X3 : $o] : (~iG955(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2517])])).
% 58.13/9.51 tff(f90521,plain,(
% 58.13/9.51 spl5880_2375 <=> ! [X3 : $o] : (~iG955(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2375])])).
% 58.13/9.51 tff(f90524,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG955(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2375)),
% 58.13/9.51 inference(forward_demodulation,[],[f90522,f86302])).
% 58.13/9.51 tff(f90522,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG955(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2375),
% 58.13/9.51 inference(avatar_component_clause,[],[f90521])).
% 58.13/9.51 tff(f92791,plain,(
% 58.13/9.51 spl5880_2516 | ~spl5880_1536 | ~spl5880_2374),
% 58.13/9.51 inference(avatar_split_clause,[],[f90519,f90516,f86300,f92789])).
% 58.13/9.51 tff(f92789,plain,(
% 58.13/9.51 spl5880_2516 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG955(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2516])])).
% 58.13/9.51 tff(f90516,plain,(
% 58.13/9.51 spl5880_2374 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG955(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2374])])).
% 58.13/9.51 tff(f90519,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG955(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2374)),
% 58.13/9.51 inference(forward_demodulation,[],[f90517,f86302])).
% 58.13/9.51 tff(f90517,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG955(X0,X1)) ) | ~spl5880_2374),
% 58.13/9.51 inference(avatar_component_clause,[],[f90516])).
% 58.13/9.51 tff(f92787,plain,(
% 58.13/9.51 spl5880_2515 | ~spl5880_1536 | ~spl5880_2373),
% 58.13/9.51 inference(avatar_split_clause,[],[f90514,f90511,f86300,f92785])).
% 58.13/9.51 tff(f92785,plain,(
% 58.13/9.51 spl5880_2515 <=> ! [X3 : $o] : (~iG967(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2515])])).
% 58.13/9.51 tff(f90511,plain,(
% 58.13/9.51 spl5880_2373 <=> ! [X3 : $o] : (~iG967(iG1228($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2373])])).
% 58.13/9.51 tff(f90514,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG967(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1536 | ~spl5880_2373)),
% 58.13/9.51 inference(forward_demodulation,[],[f90512,f86302])).
% 58.13/9.51 tff(f90512,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG967(iG1228($true),X3) | ($true = X3)) ) | ~spl5880_2373),
% 58.13/9.51 inference(avatar_component_clause,[],[f90511])).
% 58.13/9.51 tff(f92783,plain,(
% 58.13/9.51 spl5880_2514 | ~spl5880_1536 | ~spl5880_2372),
% 58.13/9.51 inference(avatar_split_clause,[],[f90509,f90506,f86300,f92781])).
% 58.13/9.51 tff(f92781,plain,(
% 58.13/9.51 spl5880_2514 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG967(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2514])])).
% 58.13/9.51 tff(f90506,plain,(
% 58.13/9.51 spl5880_2372 <=> ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG967(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2372])])).
% 58.13/9.51 tff(f90509,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG967(X0,X1)) ) | (~spl5880_1536 | ~spl5880_2372)),
% 58.13/9.51 inference(forward_demodulation,[],[f90507,f86302])).
% 58.13/9.51 tff(f90507,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG967(X0,X1)) ) | ~spl5880_2372),
% 58.13/9.51 inference(avatar_component_clause,[],[f90506])).
% 58.13/9.51 tff(f92736,plain,(
% 58.13/9.51 spl5880_2513 | ~spl5880_1444 | ~spl5880_2344),
% 58.13/9.51 inference(avatar_split_clause,[],[f90393,f90390,f85787,f92734])).
% 58.13/9.51 tff(f92734,plain,(
% 58.13/9.51 spl5880_2513 <=> ! [X3 : $o] : (~iG1477(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2513])])).
% 58.13/9.51 tff(f90390,plain,(
% 58.13/9.51 spl5880_2344 <=> ! [X3 : $o] : (($true = X3) | ~iG1477(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2344])])).
% 58.13/9.51 tff(f90393,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG1477(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1444 | ~spl5880_2344)),
% 58.13/9.51 inference(forward_demodulation,[],[f90391,f85789])).
% 58.13/9.51 tff(f90391,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG1477(one_one(nat),X3)) ) | ~spl5880_2344),
% 58.13/9.51 inference(avatar_component_clause,[],[f90390])).
% 58.13/9.51 tff(f92732,plain,(
% 58.13/9.51 spl5880_2512 | ~spl5880_1444 | ~spl5880_2343),
% 58.13/9.51 inference(avatar_split_clause,[],[f90388,f90385,f85787,f92730])).
% 58.13/9.51 tff(f92730,plain,(
% 58.13/9.51 spl5880_2512 <=> ! [X3 : $o] : (bG1484(X3) = iG1485(iG714($true),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2512])])).
% 58.13/9.51 tff(f90385,plain,(
% 58.13/9.51 spl5880_2343 <=> ! [X3 : $o] : (bG1484(X3) = iG1485(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2343])])).
% 58.13/9.51 tff(f90388,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1484(X3) = iG1485(iG714($true),X3))) ) | (~spl5880_1444 | ~spl5880_2343)),
% 58.13/9.51 inference(forward_demodulation,[],[f90386,f85789])).
% 58.13/9.51 tff(f90386,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1484(X3) = iG1485(one_one(nat),X3))) ) | ~spl5880_2343),
% 58.13/9.51 inference(avatar_component_clause,[],[f90385])).
% 58.13/9.51 tff(f92728,plain,(
% 58.13/9.51 spl5880_2511 | ~spl5880_1444 | ~spl5880_2342),
% 58.13/9.51 inference(avatar_split_clause,[],[f90383,f90380,f85787,f92726])).
% 58.13/9.51 tff(f92726,plain,(
% 58.13/9.51 spl5880_2511 <=> ! [X3 : $o] : (~iG1509(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2511])])).
% 58.13/9.51 tff(f90380,plain,(
% 58.13/9.51 spl5880_2342 <=> ! [X3 : $o] : (($true = X3) | ~iG1509(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2342])])).
% 58.13/9.51 tff(f90383,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG1509(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1444 | ~spl5880_2342)),
% 58.13/9.51 inference(forward_demodulation,[],[f90381,f85789])).
% 58.13/9.51 tff(f90381,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG1509(one_one(nat),X3)) ) | ~spl5880_2342),
% 58.13/9.51 inference(avatar_component_clause,[],[f90380])).
% 58.13/9.51 tff(f92724,plain,(
% 58.13/9.51 spl5880_2510 | ~spl5880_1444 | ~spl5880_2341),
% 58.13/9.51 inference(avatar_split_clause,[],[f90378,f90375,f85787,f92722])).
% 58.13/9.51 tff(f92722,plain,(
% 58.13/9.51 spl5880_2510 <=> ! [X3 : $o] : (bG1520(X3) = iG1521(iG714($true),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2510])])).
% 58.13/9.51 tff(f90375,plain,(
% 58.13/9.51 spl5880_2341 <=> ! [X3 : $o] : (bG1520(X3) = iG1521(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2341])])).
% 58.13/9.51 tff(f90378,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1520(X3) = iG1521(iG714($true),X3))) ) | (~spl5880_1444 | ~spl5880_2341)),
% 58.13/9.51 inference(forward_demodulation,[],[f90376,f85789])).
% 58.13/9.51 tff(f90376,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1520(X3) = iG1521(one_one(nat),X3))) ) | ~spl5880_2341),
% 58.13/9.51 inference(avatar_component_clause,[],[f90375])).
% 58.13/9.51 tff(f92720,plain,(
% 58.13/9.51 spl5880_2509 | ~spl5880_1444 | ~spl5880_2340),
% 58.13/9.51 inference(avatar_split_clause,[],[f90373,f90370,f85787,f92718])).
% 58.13/9.51 tff(f92718,plain,(
% 58.13/9.51 spl5880_2509 <=> ! [X3 : $o] : (~iG1537(iG714($true),X3) | ($true = X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2509])])).
% 58.13/9.51 tff(f90370,plain,(
% 58.13/9.51 spl5880_2340 <=> ! [X3 : $o] : (($true = X3) | ~iG1537(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2340])])).
% 58.13/9.51 tff(f90373,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG1537(iG714($true),X3) | ($true = X3)) ) | (~spl5880_1444 | ~spl5880_2340)),
% 58.13/9.51 inference(forward_demodulation,[],[f90371,f85789])).
% 58.13/9.51 tff(f90371,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG1537(one_one(nat),X3)) ) | ~spl5880_2340),
% 58.13/9.51 inference(avatar_component_clause,[],[f90370])).
% 58.13/9.51 tff(f92716,plain,(
% 58.13/9.51 spl5880_2508 | ~spl5880_1444 | ~spl5880_2337),
% 58.13/9.51 inference(avatar_split_clause,[],[f90353,f90350,f85787,f92714])).
% 58.13/9.51 tff(f92714,plain,(
% 58.13/9.51 spl5880_2508 <=> ! [X3 : $o] : (bG1540(X3) = iG1541(iG714($true),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2508])])).
% 58.13/9.51 tff(f90350,plain,(
% 58.13/9.51 spl5880_2337 <=> ! [X3 : $o] : (bG1540(X3) = iG1541(one_one(nat),X3))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2337])])).
% 58.13/9.51 tff(f90353,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1540(X3) = iG1541(iG714($true),X3))) ) | (~spl5880_1444 | ~spl5880_2337)),
% 58.13/9.51 inference(forward_demodulation,[],[f90351,f85789])).
% 58.13/9.51 tff(f90351,plain,(
% 58.13/9.51 ( ! [X3 : $o] : ((bG1540(X3) = iG1541(one_one(nat),X3))) ) | ~spl5880_2337),
% 58.13/9.51 inference(avatar_component_clause,[],[f90350])).
% 58.13/9.51 tff(f92712,plain,(
% 58.13/9.51 spl5880_2507 | ~spl5880_2333),
% 58.13/9.51 inference(avatar_split_clause,[],[f90336,f90333,f92710])).
% 58.13/9.51 tff(f92710,plain,(
% 58.13/9.51 spl5880_2507 <=> ! [X0 : int,X1 : int] : sorted_wrt(int,ord_less_eq(int),iG1449(X1,X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2507])])).
% 58.13/9.51 tff(f90333,plain,(
% 58.13/9.51 spl5880_2333 <=> ! [X0 : int,X1 : int] : sorted_wrt(int,ord_less_eq(int),iG636(X1,X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2333])])).
% 58.13/9.51 tff(f90336,plain,(
% 58.13/9.51 ( ! [X0 : int,X1 : int] : (sorted_wrt(int,ord_less_eq(int),iG1449(X1,X0))) ) | ~spl5880_2333),
% 58.13/9.51 inference(forward_demodulation,[],[f90334,f68550])).
% 58.13/9.51 tff(f90334,plain,(
% 58.13/9.51 ( ! [X0 : int,X1 : int] : (sorted_wrt(int,ord_less_eq(int),iG636(X1,X0))) ) | ~spl5880_2333),
% 58.13/9.51 inference(avatar_component_clause,[],[f90333])).
% 58.13/9.51 tff(f92702,plain,(
% 58.13/9.51 spl5880_2506 | ~spl5880_2325),
% 58.13/9.51 inference(avatar_split_clause,[],[f90277,f90274,f92700])).
% 58.13/9.51 tff(f92700,plain,(
% 58.13/9.51 spl5880_2506 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1819(X0,X1) = lG1811(X0,X1)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2506])])).
% 58.13/9.51 tff(f92697,plain,(
% 58.13/9.51 spl5880_2505 | ~spl5880_2324),
% 58.13/9.51 inference(avatar_split_clause,[],[f90272,f90269,f92695])).
% 58.13/9.51 tff(f90269,plain,(
% 58.13/9.51 spl5880_2324 <=> ! [X0 : vEBT_VEBT,X1 : nat] : lG1832(X0,X1) = lG1826(X0,X1)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2324])])).
% 58.13/9.51 tff(f90272,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1826(X0,X1) = lG1819(X0,X1)) ) | ~spl5880_2324),
% 58.13/9.51 inference(forward_demodulation,[],[f90270,f65069])).
% 58.13/9.51 tff(f65069,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1819(X0,X1)) )),
% 58.13/9.51 inference(definition_unfolding,[],[f46146,f46124])).
% 58.13/9.51 tff(f46146,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_delete(X0,X1) = lG1819(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f20521])).
% 58.13/9.51 tff(f20521,plain,(
% 58.13/9.51 ! [X0 : vEBT_VEBT,X1 : nat] : vEBT_vebt_delete(X0,X1) = lG1819(X0,X1)),
% 58.13/9.51 inference(rectify,[],[f20383])).
% 58.13/9.51 tff(f20383,plain,(
% 58.13/9.51 ! [X6 : vEBT_VEBT,X5 : nat] : vEBT_vebt_delete(X6,X5) = lG1819(X6,X5)),
% 58.13/9.51 introduced(fool_let_definition,[new_symbols(definition,[lG1819])])).
% 58.13/9.51 tff(f90270,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (lG1832(X0,X1) = lG1826(X0,X1)) ) | ~spl5880_2324),
% 58.13/9.51 inference(avatar_component_clause,[],[f90269])).
% 58.13/9.51 tff(f92693,plain,(
% 58.13/9.51 spl5880_2504 | ~spl5880_715 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85323,f82440,f82018,f92690])).
% 58.13/9.51 tff(f92690,plain,(
% 58.13/9.51 spl5880_2504 <=> sP1989(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2504])])).
% 58.13/9.51 tff(f82018,plain,(
% 58.13/9.51 spl5880_715 <=> order(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_715])])).
% 58.13/9.51 tff(f85323,plain,(
% 58.13/9.51 sP1989(int) | (~spl5880_715 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82020])).
% 58.13/9.51 tff(f82020,plain,(
% 58.13/9.51 order(int) | ~spl5880_715),
% 58.13/9.51 inference(avatar_component_clause,[],[f82018])).
% 58.13/9.51 tff(f92688,plain,(
% 58.13/9.51 spl5880_2503 | ~spl5880_718 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85322,f82440,f82033,f92685])).
% 58.13/9.51 tff(f92685,plain,(
% 58.13/9.51 spl5880_2503 <=> sP1989(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2503])])).
% 58.13/9.51 tff(f82033,plain,(
% 58.13/9.51 spl5880_718 <=> order(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_718])])).
% 58.13/9.51 tff(f85322,plain,(
% 58.13/9.51 sP1989(nat) | (~spl5880_718 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82035])).
% 58.13/9.51 tff(f82035,plain,(
% 58.13/9.51 order(nat) | ~spl5880_718),
% 58.13/9.51 inference(avatar_component_clause,[],[f82033])).
% 58.13/9.51 tff(f92674,plain,(
% 58.13/9.51 spl5880_2502 | ~spl5880_714 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85321,f82440,f82013,f92671])).
% 58.13/9.51 tff(f92671,plain,(
% 58.13/9.51 spl5880_2502 <=> sP1989(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2502])])).
% 58.13/9.51 tff(f82013,plain,(
% 58.13/9.51 spl5880_714 <=> order(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_714])])).
% 58.13/9.51 tff(f85321,plain,(
% 58.13/9.51 sP1989(num) | (~spl5880_714 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82015])).
% 58.13/9.51 tff(f82015,plain,(
% 58.13/9.51 order(num) | ~spl5880_714),
% 58.13/9.51 inference(avatar_component_clause,[],[f82013])).
% 58.13/9.51 tff(f92657,plain,(
% 58.13/9.51 spl5880_2501 | ~spl5880_712 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85320,f82440,f82003,f92654])).
% 58.13/9.51 tff(f92654,plain,(
% 58.13/9.51 spl5880_2501 <=> sP1989(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2501])])).
% 58.13/9.51 tff(f82003,plain,(
% 58.13/9.51 spl5880_712 <=> order(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_712])])).
% 58.13/9.51 tff(f85320,plain,(
% 58.13/9.51 sP1989(rat) | (~spl5880_712 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82005])).
% 58.13/9.51 tff(f82005,plain,(
% 58.13/9.51 order(rat) | ~spl5880_712),
% 58.13/9.51 inference(avatar_component_clause,[],[f82003])).
% 58.13/9.51 tff(f92631,plain,(
% 58.13/9.51 spl5880_2500 | ~spl5880_717 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85318,f82440,f82028,f92628])).
% 58.13/9.51 tff(f92628,plain,(
% 58.13/9.51 spl5880_2500 <=> sP1989(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2500])])).
% 58.13/9.51 tff(f82028,plain,(
% 58.13/9.51 spl5880_717 <=> order(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_717])])).
% 58.13/9.51 tff(f85318,plain,(
% 58.13/9.51 sP1989(real) | (~spl5880_717 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82030])).
% 58.13/9.51 tff(f82030,plain,(
% 58.13/9.51 order(real) | ~spl5880_717),
% 58.13/9.51 inference(avatar_component_clause,[],[f82028])).
% 58.13/9.51 tff(f92596,plain,(
% 58.13/9.51 spl5880_2499 | ~spl5880_711 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85316,f82440,f81998,f92593])).
% 58.13/9.51 tff(f92593,plain,(
% 58.13/9.51 spl5880_2499 <=> sP1989(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2499])])).
% 58.13/9.51 tff(f81998,plain,(
% 58.13/9.51 spl5880_711 <=> order(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_711])])).
% 58.13/9.51 tff(f85316,plain,(
% 58.13/9.51 sP1989(extended_enat) | (~spl5880_711 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82000])).
% 58.13/9.51 tff(f82000,plain,(
% 58.13/9.51 order(extended_enat) | ~spl5880_711),
% 58.13/9.51 inference(avatar_component_clause,[],[f81998])).
% 58.13/9.51 tff(f92563,plain,(
% 58.13/9.51 spl5880_2498 | ~spl5880_710 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85315,f82440,f81993,f92560])).
% 58.13/9.51 tff(f92560,plain,(
% 58.13/9.51 spl5880_2498 <=> sP1989(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2498])])).
% 58.13/9.51 tff(f81993,plain,(
% 58.13/9.51 spl5880_710 <=> order(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_710])])).
% 58.13/9.51 tff(f85315,plain,(
% 58.13/9.51 sP1989(product_unit) | (~spl5880_710 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f81995])).
% 58.13/9.51 tff(f81995,plain,(
% 58.13/9.51 order(product_unit) | ~spl5880_710),
% 58.13/9.51 inference(avatar_component_clause,[],[f81993])).
% 58.13/9.51 tff(f92528,plain,(
% 58.13/9.51 spl5880_2497 | ~spl5880_713 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85314,f82440,f82008,f92525])).
% 58.13/9.51 tff(f92525,plain,(
% 58.13/9.51 spl5880_2497 <=> sP1989(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2497])])).
% 58.13/9.51 tff(f82008,plain,(
% 58.13/9.51 spl5880_713 <=> order(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_713])])).
% 58.13/9.51 tff(f85314,plain,(
% 58.13/9.51 sP1989(code_integer) | (~spl5880_713 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82010])).
% 58.13/9.51 tff(f82010,plain,(
% 58.13/9.51 order(code_integer) | ~spl5880_713),
% 58.13/9.51 inference(avatar_component_clause,[],[f82008])).
% 58.13/9.51 tff(f92493,plain,(
% 58.13/9.51 spl5880_2496 | ~spl5880_716 | ~spl5880_818),
% 58.13/9.51 inference(avatar_split_clause,[],[f85313,f82440,f82023,f92490])).
% 58.13/9.51 tff(f92490,plain,(
% 58.13/9.51 spl5880_2496 <=> sP1989($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2496])])).
% 58.13/9.51 tff(f82023,plain,(
% 58.13/9.51 spl5880_716 <=> order($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_716])])).
% 58.13/9.51 tff(f85313,plain,(
% 58.13/9.51 sP1989($o) | (~spl5880_716 | ~spl5880_818)),
% 58.13/9.51 inference(resolution,[],[f82441,f82025])).
% 58.13/9.51 tff(f82025,plain,(
% 58.13/9.51 order($o) | ~spl5880_716),
% 58.13/9.51 inference(avatar_component_clause,[],[f82023])).
% 58.13/9.51 tff(f92458,plain,(
% 58.13/9.51 spl5880_2495 | ~spl5880_715 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85312,f82436,f82018,f92455])).
% 58.13/9.51 tff(f92455,plain,(
% 58.13/9.51 spl5880_2495 <=> sP1986(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2495])])).
% 58.13/9.51 tff(f85312,plain,(
% 58.13/9.51 sP1986(int) | (~spl5880_715 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82020])).
% 58.13/9.51 tff(f92423,plain,(
% 58.13/9.51 spl5880_2494 | ~spl5880_718 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85311,f82436,f82033,f92420])).
% 58.13/9.51 tff(f92420,plain,(
% 58.13/9.51 spl5880_2494 <=> sP1986(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2494])])).
% 58.13/9.51 tff(f85311,plain,(
% 58.13/9.51 sP1986(nat) | (~spl5880_718 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82035])).
% 58.13/9.51 tff(f92388,plain,(
% 58.13/9.51 spl5880_2493 | ~spl5880_714 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85310,f82436,f82013,f92385])).
% 58.13/9.51 tff(f92385,plain,(
% 58.13/9.51 spl5880_2493 <=> sP1986(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2493])])).
% 58.13/9.51 tff(f85310,plain,(
% 58.13/9.51 sP1986(num) | (~spl5880_714 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82015])).
% 58.13/9.51 tff(f92353,plain,(
% 58.13/9.51 spl5880_2492 | ~spl5880_712 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85309,f82436,f82003,f92350])).
% 58.13/9.51 tff(f92350,plain,(
% 58.13/9.51 spl5880_2492 <=> sP1986(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2492])])).
% 58.13/9.51 tff(f85309,plain,(
% 58.13/9.51 sP1986(rat) | (~spl5880_712 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82005])).
% 58.13/9.51 tff(f92318,plain,(
% 58.13/9.51 spl5880_2491 | ~spl5880_717 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85307,f82436,f82028,f92315])).
% 58.13/9.51 tff(f92315,plain,(
% 58.13/9.51 spl5880_2491 <=> sP1986(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2491])])).
% 58.13/9.51 tff(f85307,plain,(
% 58.13/9.51 sP1986(real) | (~spl5880_717 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82030])).
% 58.13/9.51 tff(f92283,plain,(
% 58.13/9.51 spl5880_2490 | ~spl5880_711 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85305,f82436,f81998,f92280])).
% 58.13/9.51 tff(f92280,plain,(
% 58.13/9.51 spl5880_2490 <=> sP1986(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2490])])).
% 58.13/9.51 tff(f85305,plain,(
% 58.13/9.51 sP1986(extended_enat) | (~spl5880_711 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82000])).
% 58.13/9.51 tff(f92248,plain,(
% 58.13/9.51 spl5880_2489 | ~spl5880_710 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85304,f82436,f81993,f92245])).
% 58.13/9.51 tff(f92245,plain,(
% 58.13/9.51 spl5880_2489 <=> sP1986(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2489])])).
% 58.13/9.51 tff(f85304,plain,(
% 58.13/9.51 sP1986(product_unit) | (~spl5880_710 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f81995])).
% 58.13/9.51 tff(f92213,plain,(
% 58.13/9.51 spl5880_2488 | ~spl5880_713 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85303,f82436,f82008,f92210])).
% 58.13/9.51 tff(f92210,plain,(
% 58.13/9.51 spl5880_2488 <=> sP1986(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2488])])).
% 58.13/9.51 tff(f85303,plain,(
% 58.13/9.51 sP1986(code_integer) | (~spl5880_713 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82010])).
% 58.13/9.51 tff(f92178,plain,(
% 58.13/9.51 spl5880_2487 | ~spl5880_716 | ~spl5880_817),
% 58.13/9.51 inference(avatar_split_clause,[],[f85302,f82436,f82023,f92175])).
% 58.13/9.51 tff(f92175,plain,(
% 58.13/9.51 spl5880_2487 <=> sP1986($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2487])])).
% 58.13/9.51 tff(f85302,plain,(
% 58.13/9.51 sP1986($o) | (~spl5880_716 | ~spl5880_817)),
% 58.13/9.51 inference(resolution,[],[f82437,f82025])).
% 58.13/9.51 tff(f92143,plain,(
% 58.13/9.51 spl5880_2486 | ~spl5880_706 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85301,f82432,f81973,f92140])).
% 58.13/9.51 tff(f92140,plain,(
% 58.13/9.51 spl5880_2486 <=> sP1984(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2486])])).
% 58.13/9.51 tff(f81973,plain,(
% 58.13/9.51 spl5880_706 <=> ord(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_706])])).
% 58.13/9.51 tff(f85301,plain,(
% 58.13/9.51 sP1984(int) | (~spl5880_706 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81975])).
% 58.13/9.51 tff(f81975,plain,(
% 58.13/9.51 ord(int) | ~spl5880_706),
% 58.13/9.51 inference(avatar_component_clause,[],[f81973])).
% 58.13/9.51 tff(f92108,plain,(
% 58.13/9.51 spl5880_2485 | ~spl5880_709 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85300,f82432,f81988,f92105])).
% 58.13/9.51 tff(f92105,plain,(
% 58.13/9.51 spl5880_2485 <=> sP1984(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2485])])).
% 58.13/9.51 tff(f81988,plain,(
% 58.13/9.51 spl5880_709 <=> ord(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_709])])).
% 58.13/9.51 tff(f85300,plain,(
% 58.13/9.51 sP1984(nat) | (~spl5880_709 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81990])).
% 58.13/9.51 tff(f81990,plain,(
% 58.13/9.51 ord(nat) | ~spl5880_709),
% 58.13/9.51 inference(avatar_component_clause,[],[f81988])).
% 58.13/9.51 tff(f92073,plain,(
% 58.13/9.51 spl5880_2484 | ~spl5880_705 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85299,f82432,f81968,f92070])).
% 58.13/9.51 tff(f92070,plain,(
% 58.13/9.51 spl5880_2484 <=> sP1984(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2484])])).
% 58.13/9.51 tff(f81968,plain,(
% 58.13/9.51 spl5880_705 <=> ord(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_705])])).
% 58.13/9.51 tff(f85299,plain,(
% 58.13/9.51 sP1984(num) | (~spl5880_705 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81970])).
% 58.13/9.51 tff(f81970,plain,(
% 58.13/9.51 ord(num) | ~spl5880_705),
% 58.13/9.51 inference(avatar_component_clause,[],[f81968])).
% 58.13/9.51 tff(f92038,plain,(
% 58.13/9.51 spl5880_2483 | ~spl5880_704 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85298,f82432,f81963,f92035])).
% 58.13/9.51 tff(f92035,plain,(
% 58.13/9.51 spl5880_2483 <=> sP1984(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2483])])).
% 58.13/9.51 tff(f81963,plain,(
% 58.13/9.51 spl5880_704 <=> ord(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_704])])).
% 58.13/9.51 tff(f85298,plain,(
% 58.13/9.51 sP1984(rat) | (~spl5880_704 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81965])).
% 58.13/9.51 tff(f81965,plain,(
% 58.13/9.51 ord(rat) | ~spl5880_704),
% 58.13/9.51 inference(avatar_component_clause,[],[f81963])).
% 58.13/9.51 tff(f92003,plain,(
% 58.13/9.51 spl5880_2482 | ~spl5880_708 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85296,f82432,f81983,f92000])).
% 58.13/9.51 tff(f92000,plain,(
% 58.13/9.51 spl5880_2482 <=> sP1984(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2482])])).
% 58.13/9.51 tff(f81983,plain,(
% 58.13/9.51 spl5880_708 <=> ord(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_708])])).
% 58.13/9.51 tff(f85296,plain,(
% 58.13/9.51 sP1984(real) | (~spl5880_708 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81985])).
% 58.13/9.51 tff(f81985,plain,(
% 58.13/9.51 ord(real) | ~spl5880_708),
% 58.13/9.51 inference(avatar_component_clause,[],[f81983])).
% 58.13/9.51 tff(f91968,plain,(
% 58.13/9.51 spl5880_2481 | ~spl5880_702 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85294,f82432,f81953,f91965])).
% 58.13/9.51 tff(f91965,plain,(
% 58.13/9.51 spl5880_2481 <=> sP1984(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2481])])).
% 58.13/9.51 tff(f81953,plain,(
% 58.13/9.51 spl5880_702 <=> ord(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_702])])).
% 58.13/9.51 tff(f85294,plain,(
% 58.13/9.51 sP1984(extended_enat) | (~spl5880_702 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81955])).
% 58.13/9.51 tff(f81955,plain,(
% 58.13/9.51 ord(extended_enat) | ~spl5880_702),
% 58.13/9.51 inference(avatar_component_clause,[],[f81953])).
% 58.13/9.51 tff(f91933,plain,(
% 58.13/9.51 spl5880_2480 | ~spl5880_701 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85293,f82432,f81948,f91930])).
% 58.13/9.51 tff(f91930,plain,(
% 58.13/9.51 spl5880_2480 <=> sP1984(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2480])])).
% 58.13/9.51 tff(f81948,plain,(
% 58.13/9.51 spl5880_701 <=> ord(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_701])])).
% 58.13/9.51 tff(f85293,plain,(
% 58.13/9.51 sP1984(product_unit) | (~spl5880_701 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81950])).
% 58.13/9.51 tff(f81950,plain,(
% 58.13/9.51 ord(product_unit) | ~spl5880_701),
% 58.13/9.51 inference(avatar_component_clause,[],[f81948])).
% 58.13/9.51 tff(f91898,plain,(
% 58.13/9.51 spl5880_2479 | ~spl5880_703 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85292,f82432,f81958,f91895])).
% 58.13/9.51 tff(f91895,plain,(
% 58.13/9.51 spl5880_2479 <=> sP1984(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2479])])).
% 58.13/9.51 tff(f81958,plain,(
% 58.13/9.51 spl5880_703 <=> ord(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_703])])).
% 58.13/9.51 tff(f85292,plain,(
% 58.13/9.51 sP1984(code_integer) | (~spl5880_703 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81960])).
% 58.13/9.51 tff(f81960,plain,(
% 58.13/9.51 ord(code_integer) | ~spl5880_703),
% 58.13/9.51 inference(avatar_component_clause,[],[f81958])).
% 58.13/9.51 tff(f91863,plain,(
% 58.13/9.51 spl5880_2478 | ~spl5880_707 | ~spl5880_816),
% 58.13/9.51 inference(avatar_split_clause,[],[f85291,f82432,f81978,f91860])).
% 58.13/9.51 tff(f91860,plain,(
% 58.13/9.51 spl5880_2478 <=> sP1984($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2478])])).
% 58.13/9.51 tff(f81978,plain,(
% 58.13/9.51 spl5880_707 <=> ord($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_707])])).
% 58.13/9.51 tff(f85291,plain,(
% 58.13/9.51 sP1984($o) | (~spl5880_707 | ~spl5880_816)),
% 58.13/9.51 inference(resolution,[],[f82433,f81980])).
% 58.13/9.51 tff(f81980,plain,(
% 58.13/9.51 ord($o) | ~spl5880_707),
% 58.13/9.51 inference(avatar_component_clause,[],[f81978])).
% 58.13/9.51 tff(f91828,plain,(
% 58.13/9.51 spl5880_2477 | ~spl5880_697 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85290,f82428,f81928,f91825])).
% 58.13/9.51 tff(f91825,plain,(
% 58.13/9.51 spl5880_2477 <=> sP1980(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2477])])).
% 58.13/9.51 tff(f81928,plain,(
% 58.13/9.51 spl5880_697 <=> preorder(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_697])])).
% 58.13/9.51 tff(f85290,plain,(
% 58.13/9.51 sP1980(int) | (~spl5880_697 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81930])).
% 58.13/9.51 tff(f81930,plain,(
% 58.13/9.51 preorder(int) | ~spl5880_697),
% 58.13/9.51 inference(avatar_component_clause,[],[f81928])).
% 58.13/9.51 tff(f91793,plain,(
% 58.13/9.51 spl5880_2476 | ~spl5880_700 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85289,f82428,f81943,f91790])).
% 58.13/9.51 tff(f91790,plain,(
% 58.13/9.51 spl5880_2476 <=> sP1980(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2476])])).
% 58.13/9.51 tff(f81943,plain,(
% 58.13/9.51 spl5880_700 <=> preorder(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_700])])).
% 58.13/9.51 tff(f85289,plain,(
% 58.13/9.51 sP1980(nat) | (~spl5880_700 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81945])).
% 58.13/9.51 tff(f81945,plain,(
% 58.13/9.51 preorder(nat) | ~spl5880_700),
% 58.13/9.51 inference(avatar_component_clause,[],[f81943])).
% 58.13/9.51 tff(f91758,plain,(
% 58.13/9.51 spl5880_2475 | ~spl5880_696 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85288,f82428,f81923,f91755])).
% 58.13/9.51 tff(f91755,plain,(
% 58.13/9.51 spl5880_2475 <=> sP1980(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2475])])).
% 58.13/9.51 tff(f81923,plain,(
% 58.13/9.51 spl5880_696 <=> preorder(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_696])])).
% 58.13/9.51 tff(f85288,plain,(
% 58.13/9.51 sP1980(num) | (~spl5880_696 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81925])).
% 58.13/9.51 tff(f81925,plain,(
% 58.13/9.51 preorder(num) | ~spl5880_696),
% 58.13/9.51 inference(avatar_component_clause,[],[f81923])).
% 58.13/9.51 tff(f91723,plain,(
% 58.13/9.51 spl5880_2474 | ~spl5880_695 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85287,f82428,f81918,f91720])).
% 58.13/9.51 tff(f91720,plain,(
% 58.13/9.51 spl5880_2474 <=> sP1980(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2474])])).
% 58.13/9.51 tff(f81918,plain,(
% 58.13/9.51 spl5880_695 <=> preorder(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_695])])).
% 58.13/9.51 tff(f85287,plain,(
% 58.13/9.51 sP1980(rat) | (~spl5880_695 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81920])).
% 58.13/9.51 tff(f81920,plain,(
% 58.13/9.51 preorder(rat) | ~spl5880_695),
% 58.13/9.51 inference(avatar_component_clause,[],[f81918])).
% 58.13/9.51 tff(f91688,plain,(
% 58.13/9.51 spl5880_2473 | ~spl5880_699 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85285,f82428,f81938,f91685])).
% 58.13/9.51 tff(f91685,plain,(
% 58.13/9.51 spl5880_2473 <=> sP1980(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2473])])).
% 58.13/9.51 tff(f81938,plain,(
% 58.13/9.51 spl5880_699 <=> preorder(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_699])])).
% 58.13/9.51 tff(f85285,plain,(
% 58.13/9.51 sP1980(real) | (~spl5880_699 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81940])).
% 58.13/9.51 tff(f81940,plain,(
% 58.13/9.51 preorder(real) | ~spl5880_699),
% 58.13/9.51 inference(avatar_component_clause,[],[f81938])).
% 58.13/9.51 tff(f91653,plain,(
% 58.13/9.51 spl5880_2472 | ~spl5880_693 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85283,f82428,f81908,f91650])).
% 58.13/9.51 tff(f91650,plain,(
% 58.13/9.51 spl5880_2472 <=> sP1980(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2472])])).
% 58.13/9.51 tff(f81908,plain,(
% 58.13/9.51 spl5880_693 <=> preorder(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_693])])).
% 58.13/9.51 tff(f85283,plain,(
% 58.13/9.51 sP1980(extended_enat) | (~spl5880_693 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81910])).
% 58.13/9.51 tff(f81910,plain,(
% 58.13/9.51 preorder(extended_enat) | ~spl5880_693),
% 58.13/9.51 inference(avatar_component_clause,[],[f81908])).
% 58.13/9.51 tff(f91618,plain,(
% 58.13/9.51 spl5880_2471 | ~spl5880_692 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85282,f82428,f81903,f91615])).
% 58.13/9.51 tff(f91615,plain,(
% 58.13/9.51 spl5880_2471 <=> sP1980(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2471])])).
% 58.13/9.51 tff(f81903,plain,(
% 58.13/9.51 spl5880_692 <=> preorder(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_692])])).
% 58.13/9.51 tff(f85282,plain,(
% 58.13/9.51 sP1980(product_unit) | (~spl5880_692 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81905])).
% 58.13/9.51 tff(f81905,plain,(
% 58.13/9.51 preorder(product_unit) | ~spl5880_692),
% 58.13/9.51 inference(avatar_component_clause,[],[f81903])).
% 58.13/9.51 tff(f91583,plain,(
% 58.13/9.51 spl5880_2470 | ~spl5880_694 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85281,f82428,f81913,f91580])).
% 58.13/9.51 tff(f91580,plain,(
% 58.13/9.51 spl5880_2470 <=> sP1980(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2470])])).
% 58.13/9.51 tff(f81913,plain,(
% 58.13/9.51 spl5880_694 <=> preorder(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_694])])).
% 58.13/9.51 tff(f85281,plain,(
% 58.13/9.51 sP1980(code_integer) | (~spl5880_694 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81915])).
% 58.13/9.51 tff(f81915,plain,(
% 58.13/9.51 preorder(code_integer) | ~spl5880_694),
% 58.13/9.51 inference(avatar_component_clause,[],[f81913])).
% 58.13/9.51 tff(f91548,plain,(
% 58.13/9.51 spl5880_2469 | ~spl5880_698 | ~spl5880_815),
% 58.13/9.51 inference(avatar_split_clause,[],[f85280,f82428,f81933,f91545])).
% 58.13/9.51 tff(f91545,plain,(
% 58.13/9.51 spl5880_2469 <=> sP1980($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2469])])).
% 58.13/9.51 tff(f81933,plain,(
% 58.13/9.51 spl5880_698 <=> preorder($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_698])])).
% 58.13/9.51 tff(f85280,plain,(
% 58.13/9.51 sP1980($o) | (~spl5880_698 | ~spl5880_815)),
% 58.13/9.51 inference(resolution,[],[f82429,f81935])).
% 58.13/9.51 tff(f81935,plain,(
% 58.13/9.51 preorder($o) | ~spl5880_698),
% 58.13/9.51 inference(avatar_component_clause,[],[f81933])).
% 58.13/9.51 tff(f91513,plain,(
% 58.13/9.51 spl5880_2468 | ~spl5880_658 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85279,f82424,f81733,f91510])).
% 58.13/9.51 tff(f91510,plain,(
% 58.13/9.51 spl5880_2468 <=> sP1978(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2468])])).
% 58.13/9.51 tff(f81733,plain,(
% 58.13/9.51 spl5880_658 <=> linorder(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_658])])).
% 58.13/9.51 tff(f82424,plain,(
% 58.13/9.51 spl5880_814 <=> ! [X0 : $tType] : (sP1978(X0) | ~linorder(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_814])])).
% 58.13/9.51 tff(f85279,plain,(
% 58.13/9.51 sP1978(int) | (~spl5880_658 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81735])).
% 58.13/9.51 tff(f81735,plain,(
% 58.13/9.51 linorder(int) | ~spl5880_658),
% 58.13/9.51 inference(avatar_component_clause,[],[f81733])).
% 58.13/9.51 tff(f82425,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (~linorder(X0) | sP1978(X0)) ) | ~spl5880_814),
% 58.13/9.51 inference(avatar_component_clause,[],[f82424])).
% 58.13/9.51 tff(f91478,plain,(
% 58.13/9.51 spl5880_2467 | ~spl5880_661 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85278,f82424,f81748,f91475])).
% 58.13/9.51 tff(f91475,plain,(
% 58.13/9.51 spl5880_2467 <=> sP1978(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2467])])).
% 58.13/9.51 tff(f81748,plain,(
% 58.13/9.51 spl5880_661 <=> linorder(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_661])])).
% 58.13/9.51 tff(f85278,plain,(
% 58.13/9.51 sP1978(nat) | (~spl5880_661 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81750])).
% 58.13/9.51 tff(f81750,plain,(
% 58.13/9.51 linorder(nat) | ~spl5880_661),
% 58.13/9.51 inference(avatar_component_clause,[],[f81748])).
% 58.13/9.51 tff(f91443,plain,(
% 58.13/9.51 spl5880_2466 | ~spl5880_657 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85277,f82424,f81728,f91440])).
% 58.13/9.51 tff(f91440,plain,(
% 58.13/9.51 spl5880_2466 <=> sP1978(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2466])])).
% 58.13/9.51 tff(f81728,plain,(
% 58.13/9.51 spl5880_657 <=> linorder(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_657])])).
% 58.13/9.51 tff(f85277,plain,(
% 58.13/9.51 sP1978(num) | (~spl5880_657 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81730])).
% 58.13/9.51 tff(f81730,plain,(
% 58.13/9.51 linorder(num) | ~spl5880_657),
% 58.13/9.51 inference(avatar_component_clause,[],[f81728])).
% 58.13/9.51 tff(f91408,plain,(
% 58.13/9.51 spl5880_2465 | ~spl5880_655 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85276,f82424,f81718,f91405])).
% 58.13/9.51 tff(f91405,plain,(
% 58.13/9.51 spl5880_2465 <=> sP1978(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2465])])).
% 58.13/9.51 tff(f81718,plain,(
% 58.13/9.51 spl5880_655 <=> linorder(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_655])])).
% 58.13/9.51 tff(f85276,plain,(
% 58.13/9.51 sP1978(rat) | (~spl5880_655 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81720])).
% 58.13/9.51 tff(f81720,plain,(
% 58.13/9.51 linorder(rat) | ~spl5880_655),
% 58.13/9.51 inference(avatar_component_clause,[],[f81718])).
% 58.13/9.51 tff(f91373,plain,(
% 58.13/9.51 spl5880_2464 | ~spl5880_660 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85275,f82424,f81743,f91370])).
% 58.13/9.51 tff(f91370,plain,(
% 58.13/9.51 spl5880_2464 <=> sP1978(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2464])])).
% 58.13/9.51 tff(f81743,plain,(
% 58.13/9.51 spl5880_660 <=> linorder(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_660])])).
% 58.13/9.51 tff(f85275,plain,(
% 58.13/9.51 sP1978(real) | (~spl5880_660 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81745])).
% 58.13/9.51 tff(f81745,plain,(
% 58.13/9.51 linorder(real) | ~spl5880_660),
% 58.13/9.51 inference(avatar_component_clause,[],[f81743])).
% 58.13/9.51 tff(f91338,plain,(
% 58.13/9.51 spl5880_2463 | ~spl5880_654 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85274,f82424,f81713,f91335])).
% 58.13/9.51 tff(f91335,plain,(
% 58.13/9.51 spl5880_2463 <=> sP1978(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2463])])).
% 58.13/9.51 tff(f81713,plain,(
% 58.13/9.51 spl5880_654 <=> linorder(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_654])])).
% 58.13/9.51 tff(f85274,plain,(
% 58.13/9.51 sP1978(extended_enat) | (~spl5880_654 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81715])).
% 58.13/9.51 tff(f81715,plain,(
% 58.13/9.51 linorder(extended_enat) | ~spl5880_654),
% 58.13/9.51 inference(avatar_component_clause,[],[f81713])).
% 58.13/9.51 tff(f91303,plain,(
% 58.13/9.51 spl5880_2462 | ~spl5880_653 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85273,f82424,f81708,f91300])).
% 58.13/9.51 tff(f91300,plain,(
% 58.13/9.51 spl5880_2462 <=> sP1978(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2462])])).
% 58.13/9.51 tff(f81708,plain,(
% 58.13/9.51 spl5880_653 <=> linorder(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_653])])).
% 58.13/9.51 tff(f85273,plain,(
% 58.13/9.51 sP1978(product_unit) | (~spl5880_653 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81710])).
% 58.13/9.51 tff(f81710,plain,(
% 58.13/9.51 linorder(product_unit) | ~spl5880_653),
% 58.13/9.51 inference(avatar_component_clause,[],[f81708])).
% 58.13/9.51 tff(f91268,plain,(
% 58.13/9.51 spl5880_2461 | ~spl5880_656 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85272,f82424,f81723,f91265])).
% 58.13/9.51 tff(f91265,plain,(
% 58.13/9.51 spl5880_2461 <=> sP1978(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2461])])).
% 58.13/9.51 tff(f81723,plain,(
% 58.13/9.51 spl5880_656 <=> linorder(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_656])])).
% 58.13/9.51 tff(f85272,plain,(
% 58.13/9.51 sP1978(code_integer) | (~spl5880_656 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81725])).
% 58.13/9.51 tff(f81725,plain,(
% 58.13/9.51 linorder(code_integer) | ~spl5880_656),
% 58.13/9.51 inference(avatar_component_clause,[],[f81723])).
% 58.13/9.51 tff(f91233,plain,(
% 58.13/9.51 spl5880_2460 | ~spl5880_659 | ~spl5880_814),
% 58.13/9.51 inference(avatar_split_clause,[],[f85271,f82424,f81738,f91230])).
% 58.13/9.51 tff(f91230,plain,(
% 58.13/9.51 spl5880_2460 <=> sP1978($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2460])])).
% 58.13/9.51 tff(f81738,plain,(
% 58.13/9.51 spl5880_659 <=> linorder($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_659])])).
% 58.13/9.51 tff(f85271,plain,(
% 58.13/9.51 sP1978($o) | (~spl5880_659 | ~spl5880_814)),
% 58.13/9.51 inference(resolution,[],[f82425,f81740])).
% 58.13/9.51 tff(f81740,plain,(
% 58.13/9.51 linorder($o) | ~spl5880_659),
% 58.13/9.51 inference(avatar_component_clause,[],[f81738])).
% 58.13/9.51 tff(f91198,plain,(
% 58.13/9.51 spl5880_2459 | ~spl5880_658 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85270,f82420,f81733,f91195])).
% 58.13/9.51 tff(f91195,plain,(
% 58.13/9.51 spl5880_2459 <=> sP1976(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2459])])).
% 58.13/9.51 tff(f82420,plain,(
% 58.13/9.51 spl5880_813 <=> ! [X0 : $tType] : (sP1976(X0) | ~linorder(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_813])])).
% 58.13/9.51 tff(f85270,plain,(
% 58.13/9.51 sP1976(int) | (~spl5880_658 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81735])).
% 58.13/9.51 tff(f82421,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (~linorder(X0) | sP1976(X0)) ) | ~spl5880_813),
% 58.13/9.51 inference(avatar_component_clause,[],[f82420])).
% 58.13/9.51 tff(f91163,plain,(
% 58.13/9.51 spl5880_2458 | ~spl5880_661 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85269,f82420,f81748,f91160])).
% 58.13/9.51 tff(f91160,plain,(
% 58.13/9.51 spl5880_2458 <=> sP1976(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2458])])).
% 58.13/9.51 tff(f85269,plain,(
% 58.13/9.51 sP1976(nat) | (~spl5880_661 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81750])).
% 58.13/9.51 tff(f91128,plain,(
% 58.13/9.51 spl5880_2457 | ~spl5880_657 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85268,f82420,f81728,f91125])).
% 58.13/9.51 tff(f91125,plain,(
% 58.13/9.51 spl5880_2457 <=> sP1976(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2457])])).
% 58.13/9.51 tff(f85268,plain,(
% 58.13/9.51 sP1976(num) | (~spl5880_657 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81730])).
% 58.13/9.51 tff(f91105,plain,(
% 58.13/9.51 spl5880_2456 | ~spl5880_1444 | ~spl5880_1749),
% 58.13/9.51 inference(avatar_split_clause,[],[f87899,f87896,f85787,f91103])).
% 58.13/9.51 tff(f91103,plain,(
% 58.13/9.51 spl5880_2456 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1477(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2456])])).
% 58.13/9.51 tff(f87896,plain,(
% 58.13/9.51 spl5880_1749 <=> ! [X0 : nat,X1 : $o] : (~iG1477(X0,X1) | one_one(nat) = X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_1749])])).
% 58.13/9.51 tff(f87899,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1477(X0,X1)) ) | (~spl5880_1444 | ~spl5880_1749)),
% 58.13/9.51 inference(forward_demodulation,[],[f87897,f85789])).
% 58.13/9.51 tff(f87897,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG1477(X0,X1) | one_one(nat) = X0) ) | ~spl5880_1749),
% 58.13/9.51 inference(avatar_component_clause,[],[f87896])).
% 58.13/9.51 tff(f91092,plain,(
% 58.13/9.51 spl5880_2455 | ~spl5880_655 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85267,f82420,f81718,f91089])).
% 58.13/9.51 tff(f91089,plain,(
% 58.13/9.51 spl5880_2455 <=> sP1976(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2455])])).
% 58.13/9.51 tff(f85267,plain,(
% 58.13/9.51 sP1976(rat) | (~spl5880_655 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81720])).
% 58.13/9.51 tff(f91057,plain,(
% 58.13/9.51 spl5880_2454 | ~spl5880_660 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85266,f82420,f81743,f91054])).
% 58.13/9.51 tff(f91054,plain,(
% 58.13/9.51 spl5880_2454 <=> sP1976(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2454])])).
% 58.13/9.51 tff(f85266,plain,(
% 58.13/9.51 sP1976(real) | (~spl5880_660 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81745])).
% 58.13/9.51 tff(f91049,plain,(
% 58.13/9.51 spl5880_2453 | ~spl5880_1444 | ~spl5880_1732),
% 58.13/9.51 inference(avatar_split_clause,[],[f87828,f87825,f85787,f91047])).
% 58.13/9.51 tff(f91047,plain,(
% 58.13/9.51 spl5880_2453 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1509(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2453])])).
% 58.13/9.51 tff(f87825,plain,(
% 58.13/9.51 spl5880_1732 <=> ! [X0 : nat,X1 : $o] : (~iG1509(X0,X1) | one_one(nat) = X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_1732])])).
% 58.13/9.51 tff(f87828,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1509(X0,X1)) ) | (~spl5880_1444 | ~spl5880_1732)),
% 58.13/9.51 inference(forward_demodulation,[],[f87826,f85789])).
% 58.13/9.51 tff(f87826,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG1509(X0,X1) | one_one(nat) = X0) ) | ~spl5880_1732),
% 58.13/9.51 inference(avatar_component_clause,[],[f87825])).
% 58.13/9.51 tff(f91021,plain,(
% 58.13/9.51 spl5880_2452 | ~spl5880_654 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85265,f82420,f81713,f91018])).
% 58.13/9.51 tff(f91018,plain,(
% 58.13/9.51 spl5880_2452 <=> sP1976(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2452])])).
% 58.13/9.51 tff(f85265,plain,(
% 58.13/9.51 sP1976(extended_enat) | (~spl5880_654 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81715])).
% 58.13/9.51 tff(f91010,plain,(
% 58.13/9.51 spl5880_2451 | ~spl5880_1444 | ~spl5880_1720),
% 58.13/9.51 inference(avatar_split_clause,[],[f87778,f87775,f85787,f91008])).
% 58.13/9.51 tff(f91008,plain,(
% 58.13/9.51 spl5880_2451 <=> ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1537(X0,X1))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2451])])).
% 58.13/9.51 tff(f87775,plain,(
% 58.13/9.51 spl5880_1720 <=> ! [X0 : nat,X1 : $o] : (~iG1537(X0,X1) | one_one(nat) = X0)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_1720])])).
% 58.13/9.51 tff(f87778,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG714($true) = X0 | ~iG1537(X0,X1)) ) | (~spl5880_1444 | ~spl5880_1720)),
% 58.13/9.51 inference(forward_demodulation,[],[f87776,f85789])).
% 58.13/9.51 tff(f87776,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG1537(X0,X1) | one_one(nat) = X0) ) | ~spl5880_1720),
% 58.13/9.51 inference(avatar_component_clause,[],[f87775])).
% 58.13/9.51 tff(f90985,plain,(
% 58.13/9.51 spl5880_2450 | ~spl5880_653 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85264,f82420,f81708,f90982])).
% 58.13/9.51 tff(f90982,plain,(
% 58.13/9.51 spl5880_2450 <=> sP1976(product_unit)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2450])])).
% 58.13/9.51 tff(f85264,plain,(
% 58.13/9.51 sP1976(product_unit) | (~spl5880_653 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81710])).
% 58.13/9.51 tff(f90950,plain,(
% 58.13/9.51 spl5880_2449 | ~spl5880_656 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85263,f82420,f81723,f90947])).
% 58.13/9.51 tff(f90947,plain,(
% 58.13/9.51 spl5880_2449 <=> sP1976(code_integer)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2449])])).
% 58.13/9.51 tff(f85263,plain,(
% 58.13/9.51 sP1976(code_integer) | (~spl5880_656 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81725])).
% 58.13/9.51 tff(f90915,plain,(
% 58.13/9.51 spl5880_2448 | ~spl5880_659 | ~spl5880_813),
% 58.13/9.51 inference(avatar_split_clause,[],[f85262,f82420,f81738,f90912])).
% 58.13/9.51 tff(f90912,plain,(
% 58.13/9.51 spl5880_2448 <=> sP1976($o)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2448])])).
% 58.13/9.51 tff(f85262,plain,(
% 58.13/9.51 sP1976($o) | (~spl5880_659 | ~spl5880_813)),
% 58.13/9.51 inference(resolution,[],[f82421,f81740])).
% 58.13/9.51 tff(f90885,plain,(
% 58.13/9.51 spl5880_2447),
% 58.13/9.51 inference(avatar_split_clause,[],[f75530,f90883])).
% 58.13/9.51 tff(f75530,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2221(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60808,f67101])).
% 58.13/9.51 tff(f60808,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2221(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43303])).
% 58.13/9.51 tff(f90880,plain,(
% 58.13/9.51 spl5880_2446),
% 58.13/9.51 inference(avatar_split_clause,[],[f75527,f90878])).
% 58.13/9.51 tff(f75527,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2222(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60806,f67101])).
% 58.13/9.51 tff(f60806,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2222(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43299])).
% 58.13/9.51 tff(f43299,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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),sK4638(X1)),sK4639(X1))),zero_zero(nat),sK4640(X1),sK4641(X1)) = X1) | ~sP2222(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4638,sK4639,sK4640,sK4641])],[f43297,f43298])).
% 58.13/9.51 tff(f43298,plain,(
% 58.13/9.51 ! [X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,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 => 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),sK4638(X1)),sK4639(X1))),zero_zero(nat),sK4640(X1),sK4641(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f43297,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & ? [X2 : nat,X3 : nat,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) | ~sP2222(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f43296])).
% 58.13/9.51 tff(f43296,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : nat,X14 : nat,X15 : list(vEBT_VEBT),X16 : 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)),zero_zero(nat),X15,X16) = X0) | ~sP2222(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37522])).
% 58.13/9.51 tff(f37522,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : nat,X14 : nat,X15 : list(vEBT_VEBT),X16 : 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)),zero_zero(nat),X15,X16) = X0) | ~sP2222(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2222])])).
% 58.13/9.51 tff(f90876,plain,(
% 58.13/9.51 spl5880_2445 | ~spl5880_658 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85261,f82416,f81733,f90873])).
% 58.13/9.51 tff(f90873,plain,(
% 58.13/9.51 spl5880_2445 <=> sP1966(int)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2445])])).
% 58.13/9.51 tff(f82416,plain,(
% 58.13/9.51 spl5880_812 <=> ! [X0 : $tType] : (sP1966(X0) | ~linorder(X0))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_812])])).
% 58.13/9.51 tff(f85261,plain,(
% 58.13/9.51 sP1966(int) | (~spl5880_658 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81735])).
% 58.13/9.51 tff(f82417,plain,(
% 58.13/9.51 ( ! [X0 : $tType] : (~linorder(X0) | sP1966(X0)) ) | ~spl5880_812),
% 58.13/9.51 inference(avatar_component_clause,[],[f82416])).
% 58.13/9.51 tff(f90870,plain,(
% 58.13/9.51 spl5880_2444),
% 58.13/9.51 inference(avatar_split_clause,[],[f75421,f90868])).
% 58.13/9.51 tff(f75421,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2193(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60703,f67101])).
% 58.13/9.51 tff(f60703,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2193(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43168])).
% 58.13/9.51 tff(f90865,plain,(
% 58.13/9.51 spl5880_2443),
% 58.13/9.51 inference(avatar_split_clause,[],[f75419,f90863])).
% 58.13/9.51 tff(f75419,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2194(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60701,f67101])).
% 58.13/9.51 tff(f60701,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2194(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43164])).
% 58.13/9.51 tff(f43164,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4527(X1)),zero_zero(nat),sK4528(X1),sK4529(X1)) = X1) | ~sP2194(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4527,sK4528,sK4529])],[f43162,f43163])).
% 58.13/9.51 tff(f43163,plain,(
% 58.13/9.51 ! [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)),sK4527(X1)),zero_zero(nat),sK4528(X1),sK4529(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f43162,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2194(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f43161])).
% 58.13/9.51 tff(f43161,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2194(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37488])).
% 58.13/9.51 tff(f37488,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2194(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2194])])).
% 58.13/9.51 tff(f90860,plain,(
% 58.13/9.51 spl5880_2442),
% 58.13/9.51 inference(avatar_split_clause,[],[f75404,f90858])).
% 58.13/9.51 tff(f75404,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2188(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60686,f67101])).
% 58.13/9.51 tff(f60686,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2188(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43143])).
% 58.13/9.51 tff(f90855,plain,(
% 58.13/9.51 spl5880_2441),
% 58.13/9.51 inference(avatar_split_clause,[],[f75402,f90853])).
% 58.13/9.51 tff(f75402,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2189(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60684,f67101])).
% 58.13/9.51 tff(f60684,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2189(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43139])).
% 58.13/9.51 tff(f43139,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4506(X1)),zero_zero(nat),sK4507(X1),sK4508(X1)) = X1) | ~sP2189(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4506,sK4507,sK4508])],[f43137,f43138])).
% 58.13/9.51 tff(f43138,plain,(
% 58.13/9.51 ! [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)),sK4506(X1)),zero_zero(nat),sK4507(X1),sK4508(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f43137,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2189(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f43136])).
% 58.13/9.51 tff(f43136,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2189(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37482])).
% 58.13/9.51 tff(f37482,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X13 : product_prod(nat,nat),X14 : list(vEBT_VEBT),X15 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X13),zero_zero(nat),X14,X15) = X0) | ~sP2189(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2189])])).
% 58.13/9.51 tff(f90850,plain,(
% 58.13/9.51 spl5880_2440),
% 58.13/9.51 inference(avatar_split_clause,[],[f75382,f90848])).
% 58.13/9.51 tff(f75382,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2183(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60676,f67101])).
% 58.13/9.51 tff(f60676,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2183(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43127])).
% 58.13/9.51 tff(f90845,plain,(
% 58.13/9.51 spl5880_2439),
% 58.13/9.51 inference(avatar_split_clause,[],[f75379,f90843])).
% 58.13/9.51 tff(f75379,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2184(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60674,f67101])).
% 58.13/9.51 tff(f60674,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2184(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43123])).
% 58.13/9.51 tff(f90840,plain,(
% 58.13/9.51 spl5880_2438),
% 58.13/9.51 inference(avatar_split_clause,[],[f75317,f90838])).
% 58.13/9.51 tff(f75317,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2166(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60607,f67101])).
% 58.13/9.51 tff(f60607,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2166(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43039])).
% 58.13/9.51 tff(f90835,plain,(
% 58.13/9.51 spl5880_2437),
% 58.13/9.51 inference(avatar_split_clause,[],[f75315,f90833])).
% 58.13/9.51 tff(f75315,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2167(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60605,f67101])).
% 58.13/9.51 tff(f60605,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2167(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43035])).
% 58.13/9.51 tff(f43035,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4417(X1)),zero_zero(nat),sK4418(X1),sK4419(X1)) = X1) | ~sP2167(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4417,sK4418,sK4419])],[f43033,f43034])).
% 58.13/9.51 tff(f43034,plain,(
% 58.13/9.51 ! [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)),sK4417(X1)),zero_zero(nat),sK4418(X1),sK4419(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f43033,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2167(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f43032])).
% 58.13/9.51 tff(f43032,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2167(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37455])).
% 58.13/9.51 tff(f37455,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2167(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2167])])).
% 58.13/9.51 tff(f90830,plain,(
% 58.13/9.51 spl5880_2436),
% 58.13/9.51 inference(avatar_split_clause,[],[f75303,f90828])).
% 58.13/9.51 tff(f75303,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2162(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60593,f67101])).
% 58.13/9.51 tff(f60593,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2162(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43018])).
% 58.13/9.51 tff(f90825,plain,(
% 58.13/9.51 spl5880_2435),
% 58.13/9.51 inference(avatar_split_clause,[],[f75301,f90823])).
% 58.13/9.51 tff(f75301,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2163(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60591,f67101])).
% 58.13/9.51 tff(f60591,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2163(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43014])).
% 58.13/9.51 tff(f43014,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4398(X1)),zero_zero(nat),sK4399(X1),sK4400(X1)) = X1) | ~sP2163(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4398,sK4399,sK4400])],[f43012,f43013])).
% 58.13/9.51 tff(f43013,plain,(
% 58.13/9.51 ! [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)),sK4398(X1)),zero_zero(nat),sK4399(X1),sK4400(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f43012,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2163(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f43011])).
% 58.13/9.51 tff(f43011,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2163(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37450])).
% 58.13/9.51 tff(f37450,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = X2 & ? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),zero_zero(nat),X12,X13) = X0) | ~sP2163(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2163])])).
% 58.13/9.51 tff(f90821,plain,(
% 58.13/9.51 spl5880_2434 | ~spl5880_661 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85260,f82416,f81748,f90818])).
% 58.13/9.51 tff(f90818,plain,(
% 58.13/9.51 spl5880_2434 <=> sP1966(nat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2434])])).
% 58.13/9.51 tff(f85260,plain,(
% 58.13/9.51 sP1966(nat) | (~spl5880_661 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81750])).
% 58.13/9.51 tff(f90815,plain,(
% 58.13/9.51 spl5880_2433),
% 58.13/9.51 inference(avatar_split_clause,[],[f75296,f90813])).
% 58.13/9.51 tff(f75296,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2157(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60585,f67101])).
% 58.13/9.51 tff(f60585,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2157(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43006])).
% 58.13/9.51 tff(f90810,plain,(
% 58.13/9.51 spl5880_2432),
% 58.13/9.51 inference(avatar_split_clause,[],[f75294,f90808])).
% 58.13/9.51 tff(f75294,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2158(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60583,f67101])).
% 58.13/9.51 tff(f60583,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2158(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f43002])).
% 58.13/9.51 tff(f90805,plain,(
% 58.13/9.51 spl5880_2431),
% 58.13/9.51 inference(avatar_split_clause,[],[f75291,f90803])).
% 58.13/9.51 tff(f75291,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2159(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60581,f67101])).
% 58.13/9.51 tff(f60581,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2159(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f42998])).
% 58.13/9.51 tff(f90800,plain,(
% 58.13/9.51 spl5880_2430),
% 58.13/9.51 inference(avatar_split_clause,[],[f75227,f90798])).
% 58.13/9.51 tff(f75227,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2143(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60535,f67101])).
% 58.13/9.51 tff(f60535,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2143(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f42934])).
% 58.13/9.51 tff(f90795,plain,(
% 58.13/9.51 spl5880_2429),
% 58.13/9.51 inference(avatar_split_clause,[],[f75226,f90793])).
% 58.13/9.51 tff(f75226,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2144(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60533,f67101])).
% 58.13/9.51 tff(f60533,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2144(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f42930])).
% 58.13/9.51 tff(f90790,plain,(
% 58.13/9.51 spl5880_2428),
% 58.13/9.51 inference(avatar_split_clause,[],[f75224,f90788])).
% 58.13/9.51 tff(f75224,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2145(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f60531,f67101])).
% 58.13/9.51 tff(f60531,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2145(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f42926])).
% 58.13/9.51 tff(f42926,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK4318(X1)),zero_zero(nat),sK4319(X1),sK4320(X1)) = X1) | ~sP2145(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4318,sK4319,sK4320])],[f42924,f42925])).
% 58.13/9.51 tff(f42925,plain,(
% 58.13/9.51 ! [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)),sK4318(X1)),zero_zero(nat),sK4319(X1),sK4320(X1)) = X1)),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f42924,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2145(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f42923])).
% 58.13/9.51 tff(f42923,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2145(X2,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37427])).
% 58.13/9.51 tff(f37427,plain,(
% 58.13/9.51 ! [X2 : nat,X0 : vEBT_VEBT] : ((one_one(nat) = 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) | ~sP2145(X2,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2145])])).
% 58.13/9.51 tff(f90785,plain,(
% 58.13/9.51 spl5880_2427),
% 58.13/9.51 inference(avatar_split_clause,[],[f73321,f90783])).
% 58.13/9.51 tff(f73321,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG894($true) = X0 | ~sP2064(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58295,f67338])).
% 58.13/9.51 tff(f58295,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (zero_zero(nat) = X0 | ~sP2064(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41772])).
% 58.13/9.51 tff(f90780,plain,(
% 58.13/9.51 spl5880_2426),
% 58.13/9.51 inference(avatar_split_clause,[],[f73261,f90778])).
% 58.13/9.51 tff(f73261,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2056(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58195,f67101])).
% 58.13/9.51 tff(f58195,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2056(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41681])).
% 58.13/9.51 tff(f41681,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),sK3775(X0,X1),sK3776(X0,X1),sK3777(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3775(X0,X1),sK3776(X0,X1),sK3777(X0,X1)) = X1) | ~sP2056(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3775,sK3776,sK3777])],[f41679,f41680])).
% 58.13/9.51 tff(f41680,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),sK3775(X0,X1),sK3776(X0,X1),sK3777(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3775(X0,X1),sK3776(X0,X1),sK3777(X0,X1)) = X1))),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41679,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2056(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f41678])).
% 58.13/9.51 tff(f41678,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2056(X1,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37291])).
% 58.13/9.51 tff(f37291,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_i_n_t_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2056(X1,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2056])])).
% 58.13/9.51 tff(f90775,plain,(
% 58.13/9.51 spl5880_2425),
% 58.13/9.51 inference(avatar_split_clause,[],[f73255,f90773])).
% 58.13/9.51 tff(f73255,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2052(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58182,f67338])).
% 58.13/9.51 tff(f58182,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP2052(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41666])).
% 58.13/9.51 tff(f90770,plain,(
% 58.13/9.51 spl5880_2424),
% 58.13/9.51 inference(avatar_split_clause,[],[f73252,f90768])).
% 58.13/9.51 tff(f73252,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG1228($true) = X1 | ~sP2053(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f73251,f69743])).
% 58.13/9.51 tff(f73251,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,iG894($true)) = X1 | ~sP2053(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58179,f67338])).
% 58.13/9.51 tff(f58179,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP2053(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41664])).
% 58.13/9.51 tff(f90766,plain,(
% 58.13/9.51 spl5880_2423 | ~spl5880_657 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85259,f82416,f81728,f90763])).
% 58.13/9.51 tff(f90763,plain,(
% 58.13/9.51 spl5880_2423 <=> sP1966(num)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2423])])).
% 58.13/9.51 tff(f85259,plain,(
% 58.13/9.51 sP1966(num) | (~spl5880_657 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81730])).
% 58.13/9.51 tff(f90760,plain,(
% 58.13/9.51 spl5880_2422),
% 58.13/9.51 inference(avatar_split_clause,[],[f73241,f90758])).
% 58.13/9.51 tff(f73241,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (iG894($true) = X1 | ~sP2051(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58173,f67338])).
% 58.13/9.51 tff(f58173,plain,(
% 58.13/9.51 ( ! [X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP2051(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41660])).
% 58.13/9.51 tff(f90755,plain,(
% 58.13/9.51 spl5880_2421),
% 58.13/9.51 inference(avatar_split_clause,[],[f73237,f90753])).
% 58.13/9.51 tff(f73237,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2047(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58168,f67101])).
% 58.13/9.51 tff(f58168,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2047(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41655])).
% 58.13/9.51 tff(f90750,plain,(
% 58.13/9.51 spl5880_2420),
% 58.13/9.51 inference(avatar_split_clause,[],[f73235,f90748])).
% 58.13/9.51 tff(f73235,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2048(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58165,f67101])).
% 58.13/9.51 tff(f58165,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2048(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41653])).
% 58.13/9.51 tff(f90745,plain,(
% 58.13/9.51 spl5880_2419),
% 58.13/9.51 inference(avatar_split_clause,[],[f73234,f90743])).
% 58.13/9.51 tff(f73234,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2049(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58162,f67101])).
% 58.13/9.51 tff(f58162,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2049(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41649])).
% 58.13/9.51 tff(f90740,plain,(
% 58.13/9.51 spl5880_2418),
% 58.13/9.51 inference(avatar_split_clause,[],[f73233,f90738])).
% 58.13/9.51 tff(f73233,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2050(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58159,f67101])).
% 58.13/9.51 tff(f58159,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2050(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41645])).
% 58.13/9.51 tff(f41645,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),sK3754(X0,X1),sK3755(X0,X1),sK3756(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3754(X0,X1),sK3755(X0,X1),sK3756(X0,X1)) = X1) | ~sP2050(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3754,sK3755,sK3756])],[f41643,f41644])).
% 58.13/9.51 tff(f41644,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),sK3754(X0,X1),sK3755(X0,X1),sK3756(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3754(X0,X1),sK3755(X0,X1),sK3756(X0,X1)) = X1))),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41643,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2050(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f41642])).
% 58.13/9.51 tff(f41642,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2050(X1,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37281])).
% 58.13/9.51 tff(f37281,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T5462971552011256508_l_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2050(X1,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2050])])).
% 58.13/9.51 tff(f90735,plain,(
% 58.13/9.51 spl5880_2417),
% 58.13/9.51 inference(avatar_split_clause,[],[f73228,f90733])).
% 58.13/9.51 tff(f73228,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2044(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58153,f67101])).
% 58.13/9.51 tff(f58153,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2044(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41637])).
% 58.13/9.51 tff(f90730,plain,(
% 58.13/9.51 spl5880_2416),
% 58.13/9.51 inference(avatar_split_clause,[],[f73227,f90728])).
% 58.13/9.51 tff(f73227,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2045(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58151,f67101])).
% 58.13/9.51 tff(f58151,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2045(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41635])).
% 58.13/9.51 tff(f90725,plain,(
% 58.13/9.51 spl5880_2415),
% 58.13/9.51 inference(avatar_split_clause,[],[f73226,f90723])).
% 58.13/9.51 tff(f73226,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2046(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58149,f67101])).
% 58.13/9.51 tff(f58149,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2046(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41631])).
% 58.13/9.51 tff(f90720,plain,(
% 58.13/9.51 spl5880_2414),
% 58.13/9.51 inference(avatar_split_clause,[],[f73224,f90718])).
% 58.13/9.51 tff(f73224,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : list(nat)] : (iG894($true) = X0 | ~sP2043(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58143,f67338])).
% 58.13/9.51 tff(f58143,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : list(nat)] : (zero_zero(nat) = X0 | ~sP2043(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41625])).
% 58.13/9.51 tff(f90715,plain,(
% 58.13/9.51 spl5880_2413),
% 58.13/9.51 inference(avatar_split_clause,[],[f73220,f90713])).
% 58.13/9.51 tff(f73220,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (iG1228($true) = X0 | ~sP2042(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f58134,f67101])).
% 58.13/9.51 tff(f58134,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | ~sP2042(X0,X1)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f41616])).
% 58.13/9.51 tff(f41616,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),sK3733(X0,X1),sK3734(X0,X1),sK3735(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3733(X0,X1),sK3734(X0,X1),sK3735(X0,X1)) = X1) | ~sP2042(X0,X1))),
% 58.13/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3733,sK3734,sK3735])],[f41614,f41615])).
% 58.13/9.51 tff(f41615,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),sK3733(X0,X1),sK3734(X0,X1),sK3735(X0,X1)))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK3733(X0,X1),sK3734(X0,X1),sK3735(X0,X1)) = X1))),
% 58.13/9.51 introduced(choice_axiom,[])).
% 58.13/9.51 tff(f41614,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & one_one(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2042(X0,X1))),
% 58.13/9.51 inference(rectify,[],[f41613])).
% 58.13/9.51 tff(f41613,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2042(X1,X0))),
% 58.13/9.51 inference(nnf_transformation,[],[f37270])).
% 58.13/9.51 tff(f37270,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_T_m_a_x_t_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & one_one(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2042(X1,X0))),
% 58.13/9.51 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2042])])).
% 58.13/9.51 tff(f90711,plain,(
% 58.13/9.51 spl5880_2412 | ~spl5880_655 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85258,f82416,f81718,f90708])).
% 58.13/9.51 tff(f90708,plain,(
% 58.13/9.51 spl5880_2412 <=> sP1966(rat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2412])])).
% 58.13/9.51 tff(f85258,plain,(
% 58.13/9.51 sP1966(rat) | (~spl5880_655 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81720])).
% 58.13/9.51 tff(f90706,plain,(
% 58.13/9.51 spl5880_2411),
% 58.13/9.51 inference(avatar_split_clause,[],[f71969,f90703])).
% 58.13/9.51 tff(f90703,plain,(
% 58.13/9.51 spl5880_2411 <=> im(imaginary_unit) = exp(real,zero_zero(real))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2411])])).
% 58.13/9.51 tff(f71969,plain,(
% 58.13/9.51 im(imaginary_unit) = exp(real,zero_zero(real))),
% 58.13/9.51 inference(forward_demodulation,[],[f68115,f50004])).
% 58.13/9.51 tff(f68115,plain,(
% 58.13/9.51 one_one(real) = exp(real,zero_zero(real))),
% 58.13/9.51 inference(equality_resolution,[],[f56444])).
% 58.13/9.51 tff(f56444,plain,(
% 58.13/9.51 ( ! [X0 : real] : (one_one(real) = exp(real,X0) | zero_zero(real) != X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f40864])).
% 58.13/9.51 tff(f90700,plain,(
% 58.13/9.51 spl5880_2410),
% 58.13/9.51 inference(avatar_split_clause,[],[f69888,f90698])).
% 58.13/9.51 tff(f69888,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (divide_divide(nat,X0,iG1228($true)) = X0) )),
% 58.13/9.51 inference(forward_demodulation,[],[f69887,f69743])).
% 58.13/9.51 tff(f69887,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,iG894($true))) = X0) )),
% 58.13/9.51 inference(forward_demodulation,[],[f50261,f67338])).
% 58.13/9.51 tff(f50261,plain,(
% 58.13/9.51 ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f22792])).
% 58.13/9.51 tff(f22792,plain,(
% 58.13/9.51 ! [X0 : nat] : divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0),
% 58.13/9.51 inference(rectify,[],[f963])).
% 58.13/9.51 tff(f963,axiom,(
% 58.13/9.51 ! [X15 : nat] : divide_divide(nat,X15,aa(nat,nat,suc,zero_zero(nat))) = X15),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_962_div__by__Suc__0)).
% 58.13/9.51 tff(f90693,plain,(
% 58.13/9.51 spl5880_2409),
% 58.13/9.51 inference(avatar_split_clause,[],[f69854,f90690])).
% 58.13/9.51 tff(f69854,plain,(
% 58.13/9.51 iG1228($true) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG894($true)))),
% 58.13/9.51 inference(forward_demodulation,[],[f69853,f67101])).
% 58.13/9.51 tff(f69853,plain,(
% 58.13/9.51 one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_vebt_buildup(iG894($true)))),
% 58.13/9.51 inference(forward_demodulation,[],[f50173,f69846])).
% 58.13/9.51 tff(f50173,plain,(
% 58.13/9.51 one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($false,$false))),
% 58.13/9.51 inference(cnf_transformation,[],[f9887])).
% 58.13/9.51 tff(f9887,plain,(
% 58.13/9.51 one_one(nat) = vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($false,$false))),
% 58.13/9.51 inference(fool_elimination,[],[f1244])).
% 58.13/9.51 tff(f1244,axiom,(
% 58.13/9.51 vEBT_T_m_i_n_N_u_l_l(vEBT_Leaf($false,$false)) = one_one(nat)),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1243_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Osimps_I1_J)).
% 58.13/9.51 tff(f90686,plain,(
% 58.13/9.51 spl5880_2408),
% 58.13/9.51 inference(avatar_split_clause,[],[f69849,f90683])).
% 58.13/9.51 tff(f69849,plain,(
% 58.13/9.51 vEBT_vebt_buildup(iG894($true)) = vEBT_vebt_buildup(iG1228($true))),
% 58.13/9.51 inference(forward_demodulation,[],[f69848,f69743])).
% 58.13/9.51 tff(f69848,plain,(
% 58.13/9.51 vEBT_vebt_buildup(iG894($true)) = vEBT_vebt_buildup(aa(nat,nat,suc,iG894($true)))),
% 58.13/9.51 inference(forward_demodulation,[],[f69847,f67338])).
% 58.13/9.51 tff(f69847,plain,(
% 58.13/9.51 vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_vebt_buildup(iG894($true))),
% 58.13/9.51 inference(forward_demodulation,[],[f50168,f69846])).
% 58.13/9.51 tff(f50168,plain,(
% 58.13/9.51 vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 58.13/9.51 inference(cnf_transformation,[],[f9829])).
% 58.13/9.51 tff(f9829,plain,(
% 58.13/9.51 vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 58.13/9.51 inference(fool_elimination,[],[f1036])).
% 58.13/9.51 tff(f1036,axiom,(
% 58.13/9.51 vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1035_vebt__buildup_Osimps_I2_J)).
% 58.13/9.51 tff(f90680,plain,(
% 58.13/9.51 spl5880_2407),
% 58.13/9.51 inference(avatar_split_clause,[],[f69846,f90677])).
% 58.13/9.51 tff(f90675,plain,(
% 58.13/9.51 spl5880_2406),
% 58.13/9.51 inference(avatar_split_clause,[],[f69826,f90672])).
% 58.13/9.51 tff(f90672,plain,(
% 58.13/9.51 spl5880_2406 <=> ratrel(quotient_of(zero_zero(rat)),quotient_of(zero_zero(rat)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2406])])).
% 58.13/9.51 tff(f69826,plain,(
% 58.13/9.51 ratrel(quotient_of(zero_zero(rat)),quotient_of(zero_zero(rat)))),
% 58.13/9.51 inference(forward_demodulation,[],[f50143,f50105])).
% 58.13/9.51 tff(f50143,plain,(
% 58.13/9.51 ratrel(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)))),
% 58.13/9.51 inference(cnf_transformation,[],[f7781])).
% 58.13/9.51 tff(f7781,axiom,(
% 58.13/9.51 ratrel(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7780_zero__rat_Orsp)).
% 58.13/9.51 tff(f90670,plain,(
% 58.13/9.51 spl5880_2405),
% 58.13/9.51 inference(avatar_split_clause,[],[f69825,f90667])).
% 58.13/9.51 tff(f90667,plain,(
% 58.13/9.51 spl5880_2405 <=> ratrel(quotient_of(one_one(rat)),quotient_of(one_one(rat)))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2405])])).
% 58.13/9.51 tff(f69825,plain,(
% 58.13/9.51 ratrel(quotient_of(one_one(rat)),quotient_of(one_one(rat)))),
% 58.13/9.51 inference(forward_demodulation,[],[f50142,f50104])).
% 58.13/9.51 tff(f50142,plain,(
% 58.13/9.51 ratrel(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 58.13/9.51 inference(cnf_transformation,[],[f7780])).
% 58.13/9.51 tff(f7780,axiom,(
% 58.13/9.51 ratrel(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)),aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7779_one__rat_Orsp)).
% 58.13/9.51 tff(f90665,plain,(
% 58.13/9.51 spl5880_2404),
% 58.13/9.51 inference(avatar_split_clause,[],[f69769,f90662])).
% 58.13/9.51 tff(f69769,plain,(
% 58.13/9.51 zero_zero(real) = cos(real,iG303(imaginary_unit))),
% 58.13/9.51 inference(forward_demodulation,[],[f50079,f65754])).
% 58.13/9.51 tff(f50079,plain,(
% 58.13/9.51 zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.13/9.51 inference(cnf_transformation,[],[f3509])).
% 58.13/9.51 tff(f3509,axiom,(
% 58.13/9.51 zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3508_cos__pi__half)).
% 58.13/9.51 tff(f90660,plain,(
% 58.13/9.51 spl5880_2403),
% 58.13/9.51 inference(avatar_split_clause,[],[f69768,f90657])).
% 58.13/9.51 tff(f90657,plain,(
% 58.13/9.51 spl5880_2403 <=> im(imaginary_unit) = sin(real,iG303(imaginary_unit))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2403])])).
% 58.13/9.51 tff(f69768,plain,(
% 58.13/9.51 im(imaginary_unit) = sin(real,iG303(imaginary_unit))),
% 58.13/9.51 inference(forward_demodulation,[],[f69767,f50004])).
% 58.13/9.51 tff(f69767,plain,(
% 58.13/9.51 one_one(real) = sin(real,iG303(imaginary_unit))),
% 58.13/9.51 inference(forward_demodulation,[],[f50078,f65754])).
% 58.13/9.51 tff(f50078,plain,(
% 58.13/9.51 one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.13/9.51 inference(cnf_transformation,[],[f3511])).
% 58.13/9.51 tff(f3511,axiom,(
% 58.13/9.51 one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3510_sin__pi__half)).
% 58.13/9.51 tff(f90655,plain,(
% 58.13/9.51 spl5880_2402),
% 58.13/9.51 inference(avatar_split_clause,[],[f69736,f90652])).
% 58.13/9.51 tff(f90652,plain,(
% 58.13/9.51 spl5880_2402 <=> sums(real,aTP_Lamp_ev(nat,real),im(imaginary_unit))),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2402])])).
% 58.13/9.51 tff(f69736,plain,(
% 58.13/9.51 sums(real,aTP_Lamp_ev(nat,real),im(imaginary_unit))),
% 58.13/9.51 inference(forward_demodulation,[],[f50027,f50004])).
% 58.13/9.51 tff(f50027,plain,(
% 58.13/9.51 sums(real,aTP_Lamp_ev(nat,real),one_one(real))),
% 58.13/9.51 inference(cnf_transformation,[],[f3841])).
% 58.13/9.51 tff(f3841,axiom,(
% 58.13/9.51 sums(real,aTP_Lamp_ev(nat,real),one_one(real))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3840_power__half__series)).
% 58.13/9.51 tff(f90650,plain,(
% 58.13/9.51 spl5880_2401 | ~spl5880_660 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85257,f82416,f81743,f90647])).
% 58.13/9.51 tff(f90647,plain,(
% 58.13/9.51 spl5880_2401 <=> sP1966(real)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2401])])).
% 58.13/9.51 tff(f85257,plain,(
% 58.13/9.51 sP1966(real) | (~spl5880_660 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81745])).
% 58.13/9.51 tff(f90644,plain,(
% 58.13/9.51 spl5880_2400),
% 58.13/9.51 inference(avatar_split_clause,[],[f69655,f90642])).
% 58.13/9.51 tff(f69655,plain,(
% 58.13/9.51 ( ! [X3 : $tType,X5 : X3] : (iG458(X3,iG894($true),X5) = X5) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67630,f67338])).
% 58.13/9.51 tff(f67630,plain,(
% 58.13/9.51 ( ! [X3 : $tType,X5 : X3] : (iG458(X3,zero_zero(nat),X5) = X5) )),
% 58.13/9.51 inference(equality_resolution,[],[f48850])).
% 58.13/9.51 tff(f48850,plain,(
% 58.13/9.51 ( ! [X3 : $tType,X4 : nat,X5 : X3] : (iG458(X3,X4,X5) = X5 | zero_zero(nat) != X4) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27992])).
% 58.13/9.51 tff(f27992,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG458(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (iG458(X3,X4,X5) = X5 | zero_zero(nat) != X4)),
% 58.13/9.51 inference(ennf_transformation,[],[f22421])).
% 58.13/9.51 tff(f22421,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG458(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => iG458(X3,X4,X5) = X5)),
% 58.13/9.51 inference(flattening,[],[f22420])).
% 58.13/9.51 tff(f22420,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG458(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => iG458(X3,X4,X5) = X5)),
% 58.13/9.51 inference(rectify,[],[f11356])).
% 58.13/9.51 tff(f90639,plain,(
% 58.13/9.51 spl5880_2399),
% 58.13/9.51 inference(avatar_split_clause,[],[f69636,f90637])).
% 58.13/9.51 tff(f69636,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG513(X2,iG894($true))) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67591,f67338])).
% 58.13/9.51 tff(f67591,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG513(X2,zero_zero(nat))) )),
% 58.13/9.51 inference(equality_resolution,[],[f48741])).
% 58.13/9.51 tff(f48741,plain,(
% 58.13/9.51 ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG513(X2,X3) | zero_zero(nat) != X3) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27968])).
% 58.13/9.51 tff(f27968,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG513(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG513(X2,X3) | zero_zero(nat) != X3)),
% 58.13/9.51 inference(ennf_transformation,[],[f22344])).
% 58.13/9.51 tff(f22344,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG513(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG513(X2,X3))),
% 58.13/9.51 inference(flattening,[],[f22343])).
% 58.13/9.51 tff(f22343,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG513(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG513(X2,X3))),
% 58.13/9.51 inference(rectify,[],[f12617])).
% 58.13/9.51 tff(f90634,plain,(
% 58.13/9.51 spl5880_2398),
% 58.13/9.51 inference(avatar_split_clause,[],[f69632,f90632])).
% 58.13/9.51 tff(f69632,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG514(X2,iG894($true))) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67590,f67338])).
% 58.13/9.51 tff(f67590,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG514(X2,zero_zero(nat))) )),
% 58.13/9.51 inference(equality_resolution,[],[f48739])).
% 58.13/9.51 tff(f48739,plain,(
% 58.13/9.51 ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG514(X2,X3) | zero_zero(nat) != X3) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27967])).
% 58.13/9.51 tff(f90629,plain,(
% 58.13/9.51 spl5880_2397),
% 58.13/9.51 inference(avatar_split_clause,[],[f69624,f90627])).
% 58.13/9.51 tff(f69624,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (zero_zero(X2) = iG546(X2,iG894($true))) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67570,f67338])).
% 58.13/9.51 tff(f67570,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (zero_zero(X2) = iG546(X2,zero_zero(nat))) )),
% 58.13/9.51 inference(equality_resolution,[],[f48677])).
% 58.13/9.51 tff(f48677,plain,(
% 58.13/9.51 ( ! [X2 : $tType,X3 : nat] : (zero_zero(X2) = iG546(X2,X3) | zero_zero(nat) != X3) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27953])).
% 58.13/9.51 tff(f27953,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG546(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (zero_zero(X2) = iG546(X2,X3) | zero_zero(nat) != X3)),
% 58.13/9.51 inference(ennf_transformation,[],[f22298])).
% 58.13/9.51 tff(f22298,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG546(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => zero_zero(X2) = iG546(X2,X3))),
% 58.13/9.51 inference(flattening,[],[f22297])).
% 58.13/9.51 tff(f22297,plain,(
% 58.13/9.51 ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cq(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG546(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => zero_zero(X2) = iG546(X2,X3))),
% 58.13/9.51 inference(rectify,[],[f12748])).
% 58.13/9.51 tff(f90624,plain,(
% 58.13/9.51 spl5880_2396),
% 58.13/9.51 inference(avatar_split_clause,[],[f69622,f90622])).
% 58.13/9.51 tff(f69622,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG547(X2,iG894($true))) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67569,f67338])).
% 58.13/9.51 tff(f67569,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG547(X2,zero_zero(nat))) )),
% 58.13/9.51 inference(equality_resolution,[],[f48675])).
% 58.13/9.51 tff(f48675,plain,(
% 58.13/9.51 ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG547(X2,X3) | zero_zero(nat) != X3) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27952])).
% 58.13/9.51 tff(f90619,plain,(
% 58.13/9.51 spl5880_2395),
% 58.13/9.51 inference(avatar_split_clause,[],[f69620,f90617])).
% 58.13/9.51 tff(f69620,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG548(X2,iG894($true))) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67568,f67338])).
% 58.13/9.51 tff(f67568,plain,(
% 58.13/9.51 ( ! [X2 : $tType] : (one_one(X2) = iG548(X2,zero_zero(nat))) )),
% 58.13/9.51 inference(equality_resolution,[],[f48673])).
% 58.13/9.51 tff(f48673,plain,(
% 58.13/9.51 ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG548(X2,X3) | zero_zero(nat) != X3) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27951])).
% 58.13/9.51 tff(f90614,plain,(
% 58.13/9.51 spl5880_2394),
% 58.13/9.51 inference(avatar_split_clause,[],[f69601,f90612])).
% 58.13/9.51 tff(f69601,plain,(
% 58.13/9.51 ( ! [X3 : nat] : (gcd_gcd(nat,X3,iG894($true)) = X3) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67505,f67338])).
% 58.13/9.51 tff(f67505,plain,(
% 58.13/9.51 ( ! [X3 : nat] : (gcd_gcd(nat,X3,zero_zero(nat)) = X3) )),
% 58.13/9.51 inference(equality_resolution,[],[f65654])).
% 58.13/9.51 tff(f65654,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : nat] : (gcd_gcd(nat,X3,X2) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.51 inference(definition_unfolding,[],[f48483,f57187])).
% 58.13/9.51 tff(f57187,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,X1) = iG641(X1,X0)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f14624])).
% 58.13/9.51 tff(f14624,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X0,X1) = iG641(X1,X0)),
% 58.13/9.51 inference(fool_elimination,[],[f14622,f14623])).
% 58.13/9.51 tff(f14623,plain,(
% 58.13/9.51 ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG641(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG641(X1,X0) = X0)),
% 58.13/9.51 introduced(fool_ite_definition,[new_symbols(definition,[iG641])])).
% 58.13/9.51 tff(f14622,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : nat] : gcd_gcd(nat,X0,X1) = $ite(zero_zero(nat) = X1, X0,gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)))),
% 58.13/9.51 inference(rectify,[],[f5658])).
% 58.13/9.51 tff(f5658,axiom,(
% 58.13/9.51 ! [X9 : nat,X18 : nat] : gcd_gcd(nat,X9,X18) = $ite(zero_zero(nat) = X18, X9,gcd_gcd(nat,X18,modulo_modulo(nat,X9,X18)))),
% 58.13/9.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5657_gcd__nat_Osimps)).
% 58.13/9.51 tff(f48483,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : nat] : (iG641(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27900])).
% 58.13/9.51 tff(f27900,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG641(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG641(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.13/9.51 inference(ennf_transformation,[],[f22157])).
% 58.13/9.51 tff(f22157,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG641(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG641(X2,X3) = X3)),
% 58.13/9.51 inference(flattening,[],[f22156])).
% 58.13/9.51 tff(f22156,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG641(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG641(X2,X3) = X3)),
% 58.13/9.51 inference(rectify,[],[f14623])).
% 58.13/9.51 tff(f90609,plain,(
% 58.13/9.51 spl5880_2393),
% 58.13/9.51 inference(avatar_split_clause,[],[f69519,f90607])).
% 58.13/9.51 tff(f69519,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG802(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67407,f67101])).
% 58.13/9.51 tff(f67407,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG802(one_one(nat),X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f48152])).
% 58.13/9.51 tff(f48152,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG802(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38456])).
% 58.13/9.51 tff(f38456,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG802(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG802(X2,X3) | ($true != X3)) & (($true = X3) | ~iG802(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.51 inference(nnf_transformation,[],[f27810])).
% 58.13/9.51 tff(f27810,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG802(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG802(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.51 inference(ennf_transformation,[],[f21949])).
% 58.13/9.51 tff(f21949,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG802(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG802(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(flattening,[],[f21948])).
% 58.13/9.51 tff(f21948,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG802(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG802(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(true_and_false_elimination,[],[f21947])).
% 58.13/9.51 tff(f21947,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG802(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG802(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(rectify,[],[f15318])).
% 58.13/9.51 tff(f15318,plain,(
% 58.13/9.51 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG802(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG802(X1,X3) <=> ($true = X3)))),
% 58.13/9.51 introduced(fool_ite_definition,[new_symbols(definition,[iG802])])).
% 58.13/9.51 tff(f90604,plain,(
% 58.13/9.51 spl5880_2392),
% 58.13/9.51 inference(avatar_split_clause,[],[f69517,f90602])).
% 58.13/9.51 tff(f69517,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG802(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f48154,f67101])).
% 58.13/9.51 tff(f48154,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG802(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38456])).
% 58.13/9.51 tff(f90599,plain,(
% 58.13/9.51 spl5880_2391),
% 58.13/9.51 inference(avatar_split_clause,[],[f69512,f90597])).
% 58.13/9.51 tff(f69512,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG810(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67397,f67101])).
% 58.13/9.51 tff(f67397,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG810(one_one(nat),X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f48133])).
% 58.13/9.51 tff(f48133,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG810(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38449])).
% 58.13/9.51 tff(f38449,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG810(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG810(X2,X3) | ($true != X3)) & (($true = X3) | ~iG810(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.51 inference(nnf_transformation,[],[f27807])).
% 58.13/9.51 tff(f27807,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG810(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG810(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.51 inference(ennf_transformation,[],[f21936])).
% 58.13/9.51 tff(f21936,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG810(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG810(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(flattening,[],[f21935])).
% 58.13/9.51 tff(f21935,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG810(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG810(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(true_and_false_elimination,[],[f21934])).
% 58.13/9.51 tff(f21934,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG810(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG810(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(rectify,[],[f15328])).
% 58.13/9.51 tff(f15328,plain,(
% 58.13/9.51 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG810(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG810(X1,X3) <=> ($true = X3)))),
% 58.13/9.51 introduced(fool_ite_definition,[new_symbols(definition,[iG810])])).
% 58.13/9.51 tff(f90595,plain,(
% 58.13/9.51 spl5880_2390 | ~spl5880_654 | ~spl5880_812),
% 58.13/9.51 inference(avatar_split_clause,[],[f85256,f82416,f81713,f90592])).
% 58.13/9.51 tff(f90592,plain,(
% 58.13/9.51 spl5880_2390 <=> sP1966(extended_enat)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2390])])).
% 58.13/9.51 tff(f85256,plain,(
% 58.13/9.51 sP1966(extended_enat) | (~spl5880_654 | ~spl5880_812)),
% 58.13/9.51 inference(resolution,[],[f82417,f81715])).
% 58.13/9.51 tff(f90589,plain,(
% 58.13/9.51 spl5880_2389),
% 58.13/9.51 inference(avatar_split_clause,[],[f69510,f90587])).
% 58.13/9.51 tff(f69510,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG810(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f48135,f67101])).
% 58.13/9.51 tff(f48135,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG810(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38449])).
% 58.13/9.51 tff(f90584,plain,(
% 58.13/9.51 spl5880_2388),
% 58.13/9.51 inference(avatar_split_clause,[],[f69505,f90582])).
% 58.13/9.51 tff(f69505,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG842(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67377,f67101])).
% 58.13/9.51 tff(f67377,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG842(one_one(nat),X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f48066])).
% 58.13/9.51 tff(f48066,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG842(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38414])).
% 58.13/9.51 tff(f38414,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG842(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG842(X2,X3) | ($true != X3)) & (($true = X3) | ~iG842(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.51 inference(nnf_transformation,[],[f27798])).
% 58.13/9.51 tff(f27798,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG842(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG842(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.51 inference(ennf_transformation,[],[f21891])).
% 58.13/9.51 tff(f21891,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG842(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG842(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(flattening,[],[f21890])).
% 58.13/9.51 tff(f21890,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG842(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG842(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(true_and_false_elimination,[],[f21889])).
% 58.13/9.51 tff(f21889,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG842(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG842(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(rectify,[],[f15384])).
% 58.13/9.51 tff(f15384,plain,(
% 58.13/9.51 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG842(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG842(X1,X3) <=> ($true = X3)))),
% 58.13/9.51 introduced(fool_ite_definition,[new_symbols(definition,[iG842])])).
% 58.13/9.51 tff(f90579,plain,(
% 58.13/9.51 spl5880_2387),
% 58.13/9.51 inference(avatar_split_clause,[],[f69503,f90577])).
% 58.13/9.51 tff(f69503,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG842(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f48068,f67101])).
% 58.13/9.51 tff(f48068,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG842(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38414])).
% 58.13/9.51 tff(f90574,plain,(
% 58.13/9.51 spl5880_2386),
% 58.13/9.51 inference(avatar_split_clause,[],[f69498,f90572])).
% 58.13/9.51 tff(f69498,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (~iG850(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67367,f67101])).
% 58.13/9.51 tff(f67367,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (($true = X3) | ~iG850(one_one(nat),X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f48047])).
% 58.13/9.51 tff(f48047,plain,(
% 58.13/9.51 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG850(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38407])).
% 58.13/9.51 tff(f38407,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG850(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG850(X2,X3) | ($true != X3)) & (($true = X3) | ~iG850(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.51 inference(nnf_transformation,[],[f27795])).
% 58.13/9.51 tff(f27795,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~iG850(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG850(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.51 inference(ennf_transformation,[],[f21878])).
% 58.13/9.51 tff(f21878,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG850(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG850(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(flattening,[],[f21877])).
% 58.13/9.51 tff(f21877,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG850(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG850(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(true_and_false_elimination,[],[f21876])).
% 58.13/9.51 tff(f21876,plain,(
% 58.13/9.51 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG850(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG850(X2,X3) <=> ($true = X3)))),
% 58.13/9.51 inference(rectify,[],[f15394])).
% 58.13/9.51 tff(f15394,plain,(
% 58.13/9.51 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG850(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG850(X1,X3) <=> ($true = X3)))),
% 58.13/9.51 introduced(fool_ite_definition,[new_symbols(definition,[iG850])])).
% 58.13/9.51 tff(f90569,plain,(
% 58.13/9.51 spl5880_2385),
% 58.13/9.51 inference(avatar_split_clause,[],[f69496,f90567])).
% 58.13/9.51 tff(f69496,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG850(X0,X1)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f48049,f67101])).
% 58.13/9.51 tff(f48049,plain,(
% 58.13/9.51 ( ! [X0 : nat,X1 : $o] : (~iG850(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.51 inference(cnf_transformation,[],[f38407])).
% 58.13/9.51 tff(f90565,plain,(
% 58.13/9.51 spl5880_2384),
% 58.13/9.51 inference(avatar_split_clause,[],[f69485,f90563])).
% 58.13/9.51 tff(f90563,plain,(
% 58.13/9.51 spl5880_2384 <=> ! [X3 : $o] : iG1410($true) = iG900($true,X3)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2384])])).
% 58.13/9.51 tff(f69485,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (iG1410($true) = iG900($true,X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67332,f66992])).
% 58.13/9.51 tff(f67332,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG900($true,X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f47949])).
% 58.13/9.51 tff(f47949,plain,(
% 58.13/9.51 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG900(X2,X3) | ($true != X2)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27779])).
% 58.13/9.51 tff(f90561,plain,(
% 58.13/9.51 spl5880_2383),
% 58.13/9.51 inference(avatar_split_clause,[],[f69484,f90559])).
% 58.13/9.51 tff(f90559,plain,(
% 58.13/9.51 spl5880_2383 <=> ! [X3 : $o] : iG1410($true) = iG904($true,X3)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2383])])).
% 58.13/9.51 tff(f69484,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (iG1410($true) = iG904($true,X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67328,f66992])).
% 58.13/9.51 tff(f67328,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG904($true,X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f47941])).
% 58.13/9.51 tff(f47941,plain,(
% 58.13/9.51 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG904(X2,X3) | ($true != X2)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27777])).
% 58.13/9.51 tff(f90557,plain,(
% 58.13/9.51 spl5880_2382),
% 58.13/9.51 inference(avatar_split_clause,[],[f69482,f90555])).
% 58.13/9.51 tff(f90555,plain,(
% 58.13/9.51 spl5880_2382 <=> ! [X3 : $o] : iG1436($true) = iG910($true,X3)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2382])])).
% 58.13/9.51 tff(f69482,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (iG1436($true) = iG910($true,X3)) )),
% 58.13/9.51 inference(forward_demodulation,[],[f67322,f66974])).
% 58.13/9.51 tff(f67322,plain,(
% 58.13/9.51 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910($true,X3)) )),
% 58.13/9.51 inference(equality_resolution,[],[f47929])).
% 58.13/9.51 tff(f47929,plain,(
% 58.13/9.51 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG910(X2,X3) | ($true != X2)) )),
% 58.13/9.51 inference(cnf_transformation,[],[f27775])).
% 58.13/9.51 tff(f90553,plain,(
% 58.13/9.51 spl5880_2381),
% 58.13/9.51 inference(avatar_split_clause,[],[f69480,f90551])).
% 58.13/9.51 tff(f90551,plain,(
% 58.13/9.51 spl5880_2381 <=> ! [X3 : $o] : iG1436($true) = iG914($true,X3)),
% 58.13/9.51 introduced(avatar_definition,[new_symbols(naming,[spl5880_2381])])).
% 58.13/9.52 tff(f69480,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (iG1436($true) = iG914($true,X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67318,f66974])).
% 58.13/9.52 tff(f67318,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914($true,X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47921])).
% 58.13/9.52 tff(f47921,plain,(
% 58.13/9.52 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG914(X2,X3) | ($true != X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27773])).
% 58.13/9.52 tff(f90548,plain,(
% 58.13/9.52 spl5880_2380),
% 58.13/9.52 inference(avatar_split_clause,[],[f69479,f90546])).
% 58.13/9.52 tff(f69479,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (~iG933(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67300,f67101])).
% 58.13/9.52 tff(f67300,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG933(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47882])).
% 58.13/9.52 tff(f47882,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG933(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38351])).
% 58.13/9.52 tff(f38351,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG933(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG933(X2,X3) | ($true != X3)) & (($true = X3) | ~iG933(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27770])).
% 58.13/9.52 tff(f27770,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG933(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG933(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f21764])).
% 58.13/9.52 tff(f21764,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG933(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG933(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f21763])).
% 58.13/9.52 tff(f21763,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG933(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG933(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f21762])).
% 58.13/9.52 tff(f21762,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG933(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG933(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f15793])).
% 58.13/9.52 tff(f15793,plain,(
% 58.13/9.52 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG933(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG933(X1,X3) <=> ($true = X3)))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG933])])).
% 58.13/9.52 tff(f90544,plain,(
% 58.13/9.52 spl5880_2379 | ~spl5880_653 | ~spl5880_812),
% 58.13/9.52 inference(avatar_split_clause,[],[f85255,f82416,f81708,f90541])).
% 58.13/9.52 tff(f90541,plain,(
% 58.13/9.52 spl5880_2379 <=> sP1966(product_unit)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2379])])).
% 58.13/9.52 tff(f85255,plain,(
% 58.13/9.52 sP1966(product_unit) | (~spl5880_653 | ~spl5880_812)),
% 58.13/9.52 inference(resolution,[],[f82417,f81710])).
% 58.13/9.52 tff(f90538,plain,(
% 58.13/9.52 spl5880_2378),
% 58.13/9.52 inference(avatar_split_clause,[],[f69477,f90536])).
% 58.13/9.52 tff(f69477,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG933(X0,X1)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f47884,f67101])).
% 58.13/9.52 tff(f47884,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (~iG933(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38351])).
% 58.13/9.52 tff(f90533,plain,(
% 58.13/9.52 spl5880_2377),
% 58.13/9.52 inference(avatar_split_clause,[],[f69476,f90531])).
% 58.13/9.52 tff(f69476,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (~iG945(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67288,f67101])).
% 58.13/9.52 tff(f67288,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG945(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47851])).
% 58.13/9.52 tff(f47851,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG945(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38340])).
% 58.13/9.52 tff(f38340,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG945(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG945(X2,X3) | ($true != X3)) & (($true = X3) | ~iG945(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27763])).
% 58.13/9.52 tff(f27763,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG945(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG945(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f21739])).
% 58.13/9.52 tff(f21739,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG945(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG945(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f21738])).
% 58.13/9.52 tff(f21738,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG945(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG945(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f21737])).
% 58.13/9.52 tff(f21737,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG945(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG945(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f15807])).
% 58.13/9.52 tff(f15807,plain,(
% 58.13/9.52 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG945(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG945(X1,X3) <=> ($true = X3)))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG945])])).
% 58.13/9.52 tff(f90528,plain,(
% 58.13/9.52 spl5880_2376),
% 58.13/9.52 inference(avatar_split_clause,[],[f69474,f90526])).
% 58.13/9.52 tff(f69474,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG945(X0,X1)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f47853,f67101])).
% 58.13/9.52 tff(f47853,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (~iG945(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38340])).
% 58.13/9.52 tff(f90523,plain,(
% 58.13/9.52 spl5880_2375),
% 58.13/9.52 inference(avatar_split_clause,[],[f69473,f90521])).
% 58.13/9.52 tff(f69473,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (~iG955(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67278,f67101])).
% 58.13/9.52 tff(f67278,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG955(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47824])).
% 58.13/9.52 tff(f47824,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG955(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38331])).
% 58.13/9.52 tff(f38331,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG955(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG955(X2,X3) | ($true != X3)) & (($true = X3) | ~iG955(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27756])).
% 58.13/9.52 tff(f27756,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG955(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG955(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f21716])).
% 58.13/9.52 tff(f21716,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG955(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG955(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f21715])).
% 58.13/9.52 tff(f21715,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG955(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG955(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f21714])).
% 58.13/9.52 tff(f21714,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG955(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG955(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f15893])).
% 58.13/9.52 tff(f15893,plain,(
% 58.13/9.52 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG955(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG955(X1,X3) <=> ($true = X3)))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG955])])).
% 58.13/9.52 tff(f90518,plain,(
% 58.13/9.52 spl5880_2374),
% 58.13/9.52 inference(avatar_split_clause,[],[f69471,f90516])).
% 58.13/9.52 tff(f69471,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG955(X0,X1)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f47826,f67101])).
% 58.13/9.52 tff(f47826,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (~iG955(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38331])).
% 58.13/9.52 tff(f90513,plain,(
% 58.13/9.52 spl5880_2373),
% 58.13/9.52 inference(avatar_split_clause,[],[f69470,f90511])).
% 58.13/9.52 tff(f69470,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (~iG967(iG1228($true),X3) | ($true = X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67266,f67101])).
% 58.13/9.52 tff(f67266,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG967(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47793])).
% 58.13/9.52 tff(f47793,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG967(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38320])).
% 58.13/9.52 tff(f38320,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG967(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG967(X2,X3) | ($true != X3)) & (($true = X3) | ~iG967(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27749])).
% 58.13/9.52 tff(f27749,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG967(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG967(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f21691])).
% 58.13/9.52 tff(f21691,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG967(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG967(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f21690])).
% 58.13/9.52 tff(f21690,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG967(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG967(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f21689])).
% 58.13/9.52 tff(f21689,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG967(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG967(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f15907])).
% 58.13/9.52 tff(f15907,plain,(
% 58.13/9.52 ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG967(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG967(X1,X3) <=> ($true = X3)))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG967])])).
% 58.13/9.52 tff(f90508,plain,(
% 58.13/9.52 spl5880_2372),
% 58.13/9.52 inference(avatar_split_clause,[],[f69468,f90506])).
% 58.13/9.52 tff(f69468,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (iG1228($true) = X0 | ~iG967(X0,X1)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f47795,f67101])).
% 58.13/9.52 tff(f47795,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : $o] : (~iG967(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38320])).
% 58.13/9.52 tff(f90504,plain,(
% 58.13/9.52 spl5880_2371),
% 58.13/9.52 inference(avatar_split_clause,[],[f69449,f90502])).
% 58.13/9.52 tff(f90502,plain,(
% 58.13/9.52 spl5880_2371 <=> ! [X3 : $o] : iG1410($true) = iG1039($true,X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2371])])).
% 58.13/9.52 tff(f69449,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (iG1410($true) = iG1039($true,X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67211,f66992])).
% 58.13/9.52 tff(f67211,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1039($true,X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f47635])).
% 58.13/9.52 tff(f47635,plain,(
% 58.13/9.52 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1039(X2,X3) | ($true != X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27711])).
% 58.13/9.52 tff(f90500,plain,(
% 58.13/9.52 spl5880_2370),
% 58.13/9.52 inference(avatar_split_clause,[],[f69303,f90498])).
% 58.13/9.52 tff(f90498,plain,(
% 58.13/9.52 spl5880_2370 <=> ! [X3 : $o] : iG1410($true) = iG1385($true,X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2370])])).
% 58.13/9.52 tff(f69303,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (iG1410($true) = iG1385($true,X3)) )),
% 58.13/9.52 inference(forward_demodulation,[],[f67000,f66992])).
% 58.13/9.52 tff(f67000,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1385($true,X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f46985])).
% 58.13/9.52 tff(f46985,plain,(
% 58.13/9.52 ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG1385(X2,X3) | ($true != X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27567])).
% 58.13/9.52 tff(f90496,plain,(
% 58.13/9.52 spl5880_2369),
% 58.13/9.52 inference(avatar_split_clause,[],[f69048,f90494])).
% 58.13/9.52 tff(f90494,plain,(
% 58.13/9.52 spl5880_2369 <=> ! [X2 : $tType,X5 : X2,X1 : X2,X3 : set(product_prod(X2,X2))] : sP2501(X2,X1,X1,X3,X5,X5)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2369])])).
% 58.13/9.52 tff(f69048,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X1 : X2,X5 : X2] : (sP2501(X2,X1,X1,X3,X5,X5)) )),
% 58.13/9.52 inference(equality_resolution,[],[f69047])).
% 58.13/9.52 tff(f69047,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X1 : X2,X4 : X2,X5 : X2] : (sP2501(X2,X1,X1,X3,X4,X5) | X4 != X5) )),
% 58.13/9.52 inference(equality_resolution,[],[f64566])).
% 58.13/9.52 tff(f64566,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X0 : X2,X1 : X2,X4 : X2,X5 : X2] : (sP2501(X2,X0,X1,X3,X4,X5) | X0 != X1 | X4 != X5) )),
% 58.13/9.52 inference(cnf_transformation,[],[f45937])).
% 58.13/9.52 tff(f45937,plain,(
% 58.13/9.52 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : set(product_prod(X2,X2)),X4 : X2,X5 : X2] : ((sP2501(X2,X0,X1,X3,X4,X5) | (X0 != X1 & ~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 & ~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 | 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 | 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)))) | ~sP2501(X2,X0,X1,X3,X4,X5)))),
% 58.13/9.52 inference(rectify,[],[f45936])).
% 58.13/9.52 tff(f45936,plain,(
% 58.13/9.52 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : ((sP2501(X0,X5,X2,X3,X4,X1) | (X2 != X5 & ~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 & ~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 | 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 | 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)))) | ~sP2501(X0,X5,X2,X3,X4,X1)))),
% 58.13/9.52 inference(flattening,[],[f45935])).
% 58.13/9.52 tff(f45935,plain,(
% 58.13/9.52 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : ((sP2501(X0,X5,X2,X3,X4,X1) | ((X2 != X5 & ~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 & ~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 | 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 | 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)))) | ~sP2501(X0,X5,X2,X3,X4,X1)))),
% 58.13/9.52 inference(nnf_transformation,[],[f37931])).
% 58.13/9.52 tff(f37931,plain,(
% 58.13/9.52 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : (sP2501(X0,X5,X2,X3,X4,X1) <=> ((X2 = X5 | member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5),transitive_trancl(X0,X3))) & (X1 = X4 | member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1),transitive_trancl(X0,X3)))))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2501])])).
% 58.13/9.52 tff(f90492,plain,(
% 58.13/9.52 spl5880_2368 | ~spl5880_656 | ~spl5880_812),
% 58.13/9.52 inference(avatar_split_clause,[],[f85254,f82416,f81723,f90489])).
% 58.13/9.52 tff(f90489,plain,(
% 58.13/9.52 spl5880_2368 <=> sP1966(code_integer)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2368])])).
% 58.13/9.52 tff(f85254,plain,(
% 58.13/9.52 sP1966(code_integer) | (~spl5880_656 | ~spl5880_812)),
% 58.13/9.52 inference(resolution,[],[f82417,f81725])).
% 58.13/9.52 tff(f90487,plain,(
% 58.13/9.52 spl5880_2367),
% 58.13/9.52 inference(avatar_split_clause,[],[f68736,f90485])).
% 58.13/9.52 tff(f90485,plain,(
% 58.13/9.52 spl5880_2367 <=> ! [X2 : int,X1 : int] : sP2389(gcd_gcd(int,X1,X2),X2,X1)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2367])])).
% 58.13/9.52 tff(f68736,plain,(
% 58.13/9.52 ( ! [X2 : int,X1 : int] : (sP2389(gcd_gcd(int,X1,X2),X2,X1)) )),
% 58.13/9.52 inference(equality_resolution,[],[f62260])).
% 58.13/9.52 tff(f62260,plain,(
% 58.13/9.52 ( ! [X2 : int,X0 : int,X1 : int] : (sP2389(X0,X2,X1) | gcd_gcd(int,X1,X2) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f44540])).
% 58.13/9.52 tff(f90483,plain,(
% 58.13/9.52 spl5880_2366),
% 58.13/9.52 inference(avatar_split_clause,[],[f68609,f90481])).
% 58.13/9.52 tff(f90481,plain,(
% 58.13/9.52 spl5880_2366 <=> ! [X2 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_membermima(X2,X1) | ~sP2343($true,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2366])])).
% 58.13/9.52 tff(f68609,plain,(
% 58.13/9.52 ( ! [X2 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_membermima(X2,X1) | ~sP2343($true,X1,X2)) )),
% 58.13/9.52 inference(equality_resolution,[],[f61425])).
% 58.13/9.52 tff(f61425,plain,(
% 58.13/9.52 ( ! [X2 : vEBT_VEBT,X0 : $o,X1 : nat] : (($true != X0) | ~vEBT_VEBT_membermima(X2,X1) | ~sP2343(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43937])).
% 58.13/9.52 tff(f90479,plain,(
% 58.13/9.52 spl5880_2365),
% 58.13/9.52 inference(avatar_split_clause,[],[f68338,f90477])).
% 58.13/9.52 tff(f68338,plain,(
% 58.13/9.52 ( ! [X1 : int] : (iG984(X1,aa(int,nat,nat2,X1))) )),
% 58.13/9.52 inference(equality_resolution,[],[f59457])).
% 58.13/9.52 tff(f59457,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : int] : (iG984(X1,X0) | aa(int,nat,nat2,X1) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42433])).
% 58.13/9.52 tff(f90475,plain,(
% 58.13/9.52 spl5880_2364),
% 58.13/9.52 inference(avatar_split_clause,[],[f68337,f90473])).
% 58.13/9.52 tff(f68337,plain,(
% 58.13/9.52 ( ! [X0 : int] : (iG983(X0,aa(int,nat,nat2,X0))) )),
% 58.13/9.52 inference(equality_resolution,[],[f59455])).
% 58.13/9.52 tff(f59455,plain,(
% 58.13/9.52 ( ! [X0 : int,X1 : nat] : (iG983(X0,X1) | aa(int,nat,nat2,X0) != X1) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42432])).
% 58.13/9.52 tff(f90471,plain,(
% 58.13/9.52 spl5880_2363),
% 58.13/9.52 inference(avatar_split_clause,[],[f67791,f90469])).
% 58.13/9.52 tff(f90469,plain,(
% 58.13/9.52 spl5880_2363 <=> ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,zero_zero(X0)) | ~field(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2363])])).
% 58.13/9.52 tff(f67791,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 58.13/9.52 inference(equality_resolution,[],[f52460])).
% 58.13/9.52 tff(f52460,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (dvd_dvd(X0,X1,X2) | zero_zero(X0) != X2 | ~field(X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f39296])).
% 58.13/9.52 tff(f90467,plain,(
% 58.13/9.52 spl5880_2362),
% 58.13/9.52 inference(avatar_split_clause,[],[f67688,f90465])).
% 58.13/9.52 tff(f90465,plain,(
% 58.13/9.52 spl5880_2362 <=> ! [X2 : $tType] : zero_zero(X2) = iG348(X2,zero_zero(X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2362])])).
% 58.13/9.52 tff(f67688,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (zero_zero(X2) = iG348(X2,zero_zero(X2))) )),
% 58.13/9.52 inference(equality_resolution,[],[f49096])).
% 58.13/9.52 tff(f49096,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG348(X2,X3) | zero_zero(X2) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f28084])).
% 58.13/9.52 tff(f90463,plain,(
% 58.13/9.52 spl5880_2361),
% 58.13/9.52 inference(avatar_split_clause,[],[f67685,f90461])).
% 58.13/9.52 tff(f90461,plain,(
% 58.13/9.52 spl5880_2361 <=> ! [X3 : $tType] : zero_zero(real) = iG403(X3,zero_zero(X3))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2361])])).
% 58.13/9.52 tff(f67685,plain,(
% 58.13/9.52 ( ! [X3 : $tType] : (zero_zero(real) = iG403(X3,zero_zero(X3))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48987])).
% 58.13/9.52 tff(f48987,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X2 : X3] : (zero_zero(real) = iG403(X3,X2) | zero_zero(X3) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f28030])).
% 58.13/9.52 tff(f90459,plain,(
% 58.13/9.52 spl5880_2360),
% 58.13/9.52 inference(avatar_split_clause,[],[f67673,f90457])).
% 58.13/9.52 tff(f90457,plain,(
% 58.13/9.52 spl5880_2360 <=> ! [X2 : $tType] : zero_zero(X2) = iG427(X2,zero_zero(X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2360])])).
% 58.13/9.52 tff(f67673,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (zero_zero(X2) = iG427(X2,zero_zero(X2))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48937])).
% 58.13/9.52 tff(f48937,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG427(X2,X3) | zero_zero(X2) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f28016])).
% 58.13/9.52 tff(f90455,plain,(
% 58.13/9.52 spl5880_2359),
% 58.13/9.52 inference(avatar_split_clause,[],[f67672,f90453])).
% 58.13/9.52 tff(f90453,plain,(
% 58.13/9.52 spl5880_2359 <=> ! [X2 : $tType] : one_one(X2) = iG428(X2,zero_zero(int))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2359])])).
% 58.13/9.52 tff(f67672,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (one_one(X2) = iG428(X2,zero_zero(int))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48935])).
% 58.13/9.52 tff(f48935,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : int] : (one_one(X2) = iG428(X2,X3) | zero_zero(int) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f28015])).
% 58.13/9.52 tff(f90451,plain,(
% 58.13/9.52 spl5880_2358),
% 58.13/9.52 inference(avatar_split_clause,[],[f67663,f90449])).
% 58.13/9.52 tff(f90449,plain,(
% 58.13/9.52 spl5880_2358 <=> ! [X1 : $tType,X3 : X1] : iG437(X1,zero_zero(X1),zero_zero(X1),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2358])])).
% 58.13/9.52 tff(f67663,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1] : (iG437(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f67662])).
% 58.13/9.52 tff(f67662,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG437(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(equality_resolution,[],[f48917])).
% 58.13/9.52 tff(f48917,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG437(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38653])).
% 58.13/9.52 tff(f90447,plain,(
% 58.13/9.52 spl5880_2357 | ~spl5880_659 | ~spl5880_812),
% 58.13/9.52 inference(avatar_split_clause,[],[f85253,f82416,f81738,f90444])).
% 58.13/9.52 tff(f90444,plain,(
% 58.13/9.52 spl5880_2357 <=> sP1966($o)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2357])])).
% 58.13/9.52 tff(f85253,plain,(
% 58.13/9.52 sP1966($o) | (~spl5880_659 | ~spl5880_812)),
% 58.13/9.52 inference(resolution,[],[f82417,f81740])).
% 58.13/9.52 tff(f90442,plain,(
% 58.13/9.52 spl5880_2356),
% 58.13/9.52 inference(avatar_split_clause,[],[f67659,f90440])).
% 58.13/9.52 tff(f90440,plain,(
% 58.13/9.52 spl5880_2356 <=> ! [X1 : $tType,X3 : X1] : iG438(X1,zero_zero(X1),zero_zero(X1),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2356])])).
% 58.13/9.52 tff(f67659,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1] : (iG438(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f67658])).
% 58.13/9.52 tff(f67658,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG438(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(equality_resolution,[],[f48913])).
% 58.13/9.52 tff(f48913,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG438(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38652])).
% 58.13/9.52 tff(f90438,plain,(
% 58.13/9.52 spl5880_2355),
% 58.13/9.52 inference(avatar_split_clause,[],[f67646,f90436])).
% 58.13/9.52 tff(f90436,plain,(
% 58.13/9.52 spl5880_2355 <=> ! [X1 : $tType,X3 : X1] : iG443(X1,zero_zero(X1),zero_zero(X1),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2355])])).
% 58.13/9.52 tff(f67646,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1] : (iG443(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f67645])).
% 58.13/9.52 tff(f67645,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG443(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(equality_resolution,[],[f48893])).
% 58.13/9.52 tff(f48893,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG443(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38647])).
% 58.13/9.52 tff(f90434,plain,(
% 58.13/9.52 spl5880_2354),
% 58.13/9.52 inference(avatar_split_clause,[],[f67643,f90432])).
% 58.13/9.52 tff(f90432,plain,(
% 58.13/9.52 spl5880_2354 <=> ! [X1 : $tType,X3 : X1] : iG444(X1,zero_zero(X1),zero_zero(X1),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2354])])).
% 58.13/9.52 tff(f67643,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1] : (iG444(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f67642])).
% 58.13/9.52 tff(f67642,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG444(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(equality_resolution,[],[f48889])).
% 58.13/9.52 tff(f48889,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG444(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38646])).
% 58.13/9.52 tff(f90430,plain,(
% 58.13/9.52 spl5880_2353),
% 58.13/9.52 inference(avatar_split_clause,[],[f67624,f90428])).
% 58.13/9.52 tff(f90428,plain,(
% 58.13/9.52 spl5880_2353 <=> ! [X2 : $tType] : zero_zero(X2) = iG471(X2,zero_zero(X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2353])])).
% 58.13/9.52 tff(f67624,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (zero_zero(X2) = iG471(X2,zero_zero(X2))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48823])).
% 58.13/9.52 tff(f48823,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG471(X2,X3) | zero_zero(X2) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27982])).
% 58.13/9.52 tff(f90426,plain,(
% 58.13/9.52 spl5880_2352),
% 58.13/9.52 inference(avatar_split_clause,[],[f67623,f90424])).
% 58.13/9.52 tff(f90424,plain,(
% 58.13/9.52 spl5880_2352 <=> ! [X2 : $tType] : zero_zero(X2) = iG472(X2,zero_zero(X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2352])])).
% 58.13/9.52 tff(f67623,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (zero_zero(X2) = iG472(X2,zero_zero(X2))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48821])).
% 58.13/9.52 tff(f48821,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG472(X2,X3) | zero_zero(X2) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27981])).
% 58.13/9.52 tff(f90422,plain,(
% 58.13/9.52 spl5880_2351),
% 58.13/9.52 inference(avatar_split_clause,[],[f67617,f90420])).
% 58.13/9.52 tff(f90420,plain,(
% 58.13/9.52 spl5880_2351 <=> ! [X3 : $tType,X5 : nat] : one_one(X3) = iG480(X3,X5,X5)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2351])])).
% 58.13/9.52 tff(f67617,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X5 : nat] : (one_one(X3) = iG480(X3,X5,X5)) )),
% 58.13/9.52 inference(equality_resolution,[],[f48805])).
% 58.13/9.52 tff(f48805,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG480(X3,X4,X5) | X4 != X5) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27978])).
% 58.13/9.52 tff(f90418,plain,(
% 58.13/9.52 spl5880_2350),
% 58.13/9.52 inference(avatar_split_clause,[],[f67607,f90416])).
% 58.13/9.52 tff(f90416,plain,(
% 58.13/9.52 spl5880_2350 <=> ! [X2 : $tType] : zero_zero(X2) = iG493(X2,zero_zero(int))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2350])])).
% 58.13/9.52 tff(f67607,plain,(
% 58.13/9.52 ( ! [X2 : $tType] : (zero_zero(X2) = iG493(X2,zero_zero(int))) )),
% 58.13/9.52 inference(equality_resolution,[],[f48779])).
% 58.13/9.52 tff(f48779,plain,(
% 58.13/9.52 ( ! [X2 : $tType,X3 : int] : (zero_zero(X2) = iG493(X2,X3) | zero_zero(int) != X3) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27973])).
% 58.13/9.52 tff(f90414,plain,(
% 58.13/9.52 spl5880_2349),
% 58.13/9.52 inference(avatar_split_clause,[],[f67561,f90412])).
% 58.13/9.52 tff(f90412,plain,(
% 58.13/9.52 spl5880_2349 <=> ! [X3 : $tType,X5 : X3] : iG556(X3,nil(X3),X5) = X5),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2349])])).
% 58.13/9.52 tff(f67561,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X5 : X3] : (iG556(X3,nil(X3),X5) = X5) )),
% 58.13/9.52 inference(equality_resolution,[],[f48656])).
% 58.13/9.52 tff(f48656,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X4 : list(X3),X5 : X3] : (iG556(X3,X4,X5) = X5 | nil(X3) != X4) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27948])).
% 58.13/9.52 tff(f27948,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : list(X0),X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG556(X0,X1,X2) | nil(X0) = X1) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (iG556(X3,X4,X5) = X5 | nil(X3) != X4)),
% 58.13/9.52 inference(ennf_transformation,[],[f22283])).
% 58.13/9.52 tff(f22283,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : list(X0),X2 : X0] : (nil(X0) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG556(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (nil(X3) = X4 => iG556(X3,X4,X5) = X5)),
% 58.13/9.52 inference(flattening,[],[f22282])).
% 58.13/9.52 tff(f22282,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~nil(X0) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG556(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (nil(X3) = X4 => iG556(X3,X4,X5) = X5)),
% 58.13/9.52 inference(rectify,[],[f12886])).
% 58.13/9.52 tff(f12886,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~nil(X0) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG556(X0,X1,X2)) & ! [X0 : $tType,X1 : list(X0),X2 : X0] : (nil(X0) = X1 => iG556(X0,X1,X2) = X2)),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG556])])).
% 58.13/9.52 tff(f90410,plain,(
% 58.13/9.52 spl5880_2348),
% 58.13/9.52 inference(avatar_split_clause,[],[f67552,f90408])).
% 58.13/9.52 tff(f90408,plain,(
% 58.13/9.52 spl5880_2348 <=> ! [X3 : $tType,X5 : nat] : one_one(X3) = iG581(X3,X5,X5)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2348])])).
% 58.13/9.52 tff(f67552,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X5 : nat] : (one_one(X3) = iG581(X3,X5,X5)) )),
% 58.13/9.52 inference(equality_resolution,[],[f48604])).
% 58.13/9.52 tff(f48604,plain,(
% 58.13/9.52 ( ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG581(X3,X4,X5) | X4 != X5) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27925])).
% 58.13/9.52 tff(f90406,plain,(
% 58.13/9.52 spl5880_2347),
% 58.13/9.52 inference(avatar_split_clause,[],[f67510,f90404])).
% 58.13/9.52 tff(f90404,plain,(
% 58.13/9.52 spl5880_2347 <=> ! [X3 : int] : zero_zero(int) = iG633(zero_zero(int),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2347])])).
% 58.13/9.52 tff(f67510,plain,(
% 58.13/9.52 ( ! [X3 : int] : (zero_zero(int) = iG633(zero_zero(int),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f48499])).
% 58.13/9.52 tff(f48499,plain,(
% 58.13/9.52 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG633(X2,X3) | zero_zero(int) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27908])).
% 58.13/9.52 tff(f27908,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG633(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG633(X2,X3) | zero_zero(int) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f22173])).
% 58.13/9.52 tff(f22173,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG633(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG633(X2,X3))),
% 58.13/9.52 inference(flattening,[],[f22172])).
% 58.13/9.52 tff(f22172,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG633(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG633(X2,X3))),
% 58.13/9.52 inference(rectify,[],[f14599])).
% 58.13/9.52 tff(f14599,plain,(
% 58.13/9.52 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),X1) = iG633(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG633(X1,X0))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG633])])).
% 58.13/9.52 tff(f90402,plain,(
% 58.13/9.52 spl5880_2346 | ~spl5880_544 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85252,f82412,f81163,f90399])).
% 58.13/9.52 tff(f90399,plain,(
% 58.13/9.52 spl5880_2346 <=> sP1964(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2346])])).
% 58.13/9.52 tff(f81163,plain,(
% 58.13/9.52 spl5880_544 <=> zero_neq_one(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_544])])).
% 58.13/9.52 tff(f82412,plain,(
% 58.13/9.52 spl5880_811 <=> ! [X0 : $tType] : (sP1964(X0) | ~zero_neq_one(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_811])])).
% 58.13/9.52 tff(f85252,plain,(
% 58.13/9.52 sP1964(int) | (~spl5880_544 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81165])).
% 58.13/9.52 tff(f81165,plain,(
% 58.13/9.52 zero_neq_one(int) | ~spl5880_544),
% 58.13/9.52 inference(avatar_component_clause,[],[f81163])).
% 58.13/9.52 tff(f82413,plain,(
% 58.13/9.52 ( ! [X0 : $tType] : (~zero_neq_one(X0) | sP1964(X0)) ) | ~spl5880_811),
% 58.13/9.52 inference(avatar_component_clause,[],[f82412])).
% 58.13/9.52 tff(f90397,plain,(
% 58.13/9.52 spl5880_2345),
% 58.13/9.52 inference(avatar_split_clause,[],[f67504,f90395])).
% 58.13/9.52 tff(f90395,plain,(
% 58.13/9.52 spl5880_2345 <=> ! [X3 : int] : modulo_modulo(int,X3,zero_zero(int)) = X3),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2345])])).
% 58.13/9.52 tff(f67504,plain,(
% 58.13/9.52 ( ! [X3 : int] : (modulo_modulo(int,X3,zero_zero(int)) = X3) )),
% 58.13/9.52 inference(equality_resolution,[],[f65650])).
% 58.13/9.52 tff(f65650,plain,(
% 58.13/9.52 ( ! [X2 : int,X3 : int] : (modulo_modulo(int,X3,X2) = X3 | zero_zero(int) != X2) )),
% 58.13/9.52 inference(definition_unfolding,[],[f48475,f57189])).
% 58.13/9.52 tff(f48475,plain,(
% 58.13/9.52 ( ! [X2 : int,X3 : int] : (iG645(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27897])).
% 58.13/9.52 tff(f90392,plain,(
% 58.13/9.52 spl5880_2344),
% 58.13/9.52 inference(avatar_split_clause,[],[f66958,f90390])).
% 58.13/9.52 tff(f66958,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG1477(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f46806])).
% 58.13/9.52 tff(f46806,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG1477(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38067])).
% 58.13/9.52 tff(f38067,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1477(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG1477(X2,X3) | ($true != X3)) & (($true = X3) | ~iG1477(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27525])).
% 58.13/9.52 tff(f27525,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1477(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG1477(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f21032])).
% 58.13/9.52 tff(f21032,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG1477(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1477(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f21031])).
% 58.13/9.52 tff(f21031,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG1477(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1477(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f21030])).
% 58.13/9.52 tff(f21030,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG1477(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1477(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f17969])).
% 58.13/9.52 tff(f90387,plain,(
% 58.13/9.52 spl5880_2343),
% 58.13/9.52 inference(avatar_split_clause,[],[f66948,f90385])).
% 58.13/9.52 tff(f66948,plain,(
% 58.13/9.52 ( ! [X3 : $o] : ((bG1484(X3) = iG1485(one_one(nat),X3))) )),
% 58.13/9.52 inference(equality_resolution,[],[f46788])).
% 58.13/9.52 tff(f46788,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : ((bG1484(X3) = iG1485(X2,X3)) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27522])).
% 58.13/9.52 tff(f90382,plain,(
% 58.13/9.52 spl5880_2342),
% 58.13/9.52 inference(avatar_split_clause,[],[f66936,f90380])).
% 58.13/9.52 tff(f66936,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG1509(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f46741])).
% 58.13/9.52 tff(f46741,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG1509(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38045])).
% 58.13/9.52 tff(f38045,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1509(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG1509(X2,X3) | ($true != X3)) & (($true = X3) | ~iG1509(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27515])).
% 58.13/9.52 tff(f27515,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1509(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG1509(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f20985])).
% 58.13/9.52 tff(f20985,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG1509(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1509(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f20984])).
% 58.13/9.52 tff(f20984,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG1509(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1509(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f20983])).
% 58.13/9.52 tff(f20983,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG1509(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1509(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f18009])).
% 58.13/9.52 tff(f18009,plain,(
% 58.13/9.52 ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => (iG1509(X1,X4) <=> $false)) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (iG1509(X1,X4) <=> ($true = X4)))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG1509])])).
% 58.13/9.52 tff(f90377,plain,(
% 58.13/9.52 spl5880_2341),
% 58.13/9.52 inference(avatar_split_clause,[],[f66924,f90375])).
% 58.13/9.52 tff(f66924,plain,(
% 58.13/9.52 ( ! [X3 : $o] : ((bG1520(X3) = iG1521(one_one(nat),X3))) )),
% 58.13/9.52 inference(equality_resolution,[],[f46711])).
% 58.13/9.52 tff(f46711,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : ((bG1520(X3) = iG1521(X2,X3)) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27508])).
% 58.13/9.52 tff(f90372,plain,(
% 58.13/9.52 spl5880_2340),
% 58.13/9.52 inference(avatar_split_clause,[],[f66914,f90370])).
% 58.13/9.52 tff(f66914,plain,(
% 58.13/9.52 ( ! [X3 : $o] : (($true = X3) | ~iG1537(one_one(nat),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f46679])).
% 58.13/9.52 tff(f46679,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG1537(X2,X3) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38028])).
% 58.13/9.52 tff(f38028,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1537(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG1537(X2,X3) | ($true != X3)) & (($true = X3) | ~iG1537(X2,X3))) | one_one(nat) != X2)),
% 58.13/9.52 inference(nnf_transformation,[],[f27499])).
% 58.13/9.52 tff(f27499,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~iG1537(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG1537(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f20937])).
% 58.13/9.52 tff(f20937,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG1537(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1537(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(flattening,[],[f20936])).
% 58.13/9.52 tff(f20936,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG1537(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1537(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(true_and_false_elimination,[],[f20935])).
% 58.13/9.52 tff(f20935,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG1537(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG1537(X2,X3) <=> ($true = X3)))),
% 58.13/9.52 inference(rectify,[],[f18687])).
% 58.13/9.52 tff(f90363,plain,(
% 58.13/9.52 spl5880_2339 | ~spl5880_1444 | ~spl5880_2236 | ~spl5880_2337),
% 58.13/9.52 inference(avatar_split_clause,[],[f90354,f90350,f89888,f85787,f90361])).
% 58.13/9.52 tff(f90361,plain,(
% 58.13/9.52 spl5880_2339 <=> ! [X3 : $o] : (bG1540(X3) = iG1541(iG286,X3))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2339])])).
% 58.13/9.52 tff(f90354,plain,(
% 58.13/9.52 ( ! [X3 : $o] : ((bG1540(X3) = iG1541(iG286,X3))) ) | (~spl5880_1444 | ~spl5880_2236 | ~spl5880_2337)),
% 58.13/9.52 inference(forward_demodulation,[],[f90353,f89909])).
% 58.13/9.52 tff(f89909,plain,(
% 58.13/9.52 iG286 = iG714($true) | (~spl5880_1444 | ~spl5880_2236)),
% 58.13/9.52 inference(superposition,[],[f89890,f85789])).
% 58.13/9.52 tff(f89890,plain,(
% 58.13/9.52 one_one(nat) = iG286 | ~spl5880_2236),
% 58.13/9.52 inference(avatar_component_clause,[],[f89888])).
% 58.13/9.52 tff(f90359,plain,(
% 58.13/9.52 spl5880_2338 | ~spl5880_546 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85251,f82412,f81173,f90356])).
% 58.13/9.52 tff(f90356,plain,(
% 58.13/9.52 spl5880_2338 <=> sP1964(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2338])])).
% 58.13/9.52 tff(f81173,plain,(
% 58.13/9.52 spl5880_546 <=> zero_neq_one(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_546])])).
% 58.13/9.52 tff(f85251,plain,(
% 58.13/9.52 sP1964(nat) | (~spl5880_546 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81175])).
% 58.13/9.52 tff(f81175,plain,(
% 58.13/9.52 zero_neq_one(nat) | ~spl5880_546),
% 58.13/9.52 inference(avatar_component_clause,[],[f81173])).
% 58.13/9.52 tff(f90352,plain,(
% 58.13/9.52 spl5880_2337),
% 58.13/9.52 inference(avatar_split_clause,[],[f66906,f90350])).
% 58.13/9.52 tff(f66906,plain,(
% 58.13/9.52 ( ! [X3 : $o] : ((bG1540(X3) = iG1541(one_one(nat),X3))) )),
% 58.13/9.52 inference(equality_resolution,[],[f46669])).
% 58.13/9.52 tff(f46669,plain,(
% 58.13/9.52 ( ! [X2 : nat,X3 : $o] : ((bG1540(X3) = iG1541(X2,X3)) | one_one(nat) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27497])).
% 58.13/9.52 tff(f90348,plain,(
% 58.13/9.52 spl5880_2336),
% 58.13/9.52 inference(avatar_split_clause,[],[f66894,f90346])).
% 58.13/9.52 tff(f90346,plain,(
% 58.13/9.52 spl5880_2336 <=> ! [X3 : int] : zero_zero(int) = iG1565(zero_zero(int),X3)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2336])])).
% 58.13/9.52 tff(f66894,plain,(
% 58.13/9.52 ( ! [X3 : int] : (zero_zero(int) = iG1565(zero_zero(int),X3)) )),
% 58.13/9.52 inference(equality_resolution,[],[f46617])).
% 58.13/9.52 tff(f46617,plain,(
% 58.13/9.52 ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG1565(X2,X3) | zero_zero(int) != X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f27476])).
% 58.13/9.52 tff(f27476,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG1565(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG1565(X2,X3) | zero_zero(int) != X2)),
% 58.13/9.52 inference(ennf_transformation,[],[f20892])).
% 58.13/9.52 tff(f20892,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG1565(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG1565(X2,X3))),
% 58.13/9.52 inference(flattening,[],[f20891])).
% 58.13/9.52 tff(f20891,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG1565(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG1565(X2,X3))),
% 58.13/9.52 inference(rectify,[],[f19113])).
% 58.13/9.52 tff(f19113,plain,(
% 58.13/9.52 ! [X3 : int,X1 : int] : (~zero_zero(int) = X3 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X3) = iG1565(X3,X1)) & ! [X3 : int,X1 : int] : (zero_zero(int) = X3 => zero_zero(int) = iG1565(X3,X1))),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG1565])])).
% 58.13/9.52 tff(f90344,plain,(
% 58.13/9.52 spl5880_2335),
% 58.13/9.52 inference(avatar_split_clause,[],[f65949,f90342])).
% 58.13/9.52 tff(f90342,plain,(
% 58.13/9.52 spl5880_2335 <=> ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less_eq(nat),iG638(X1,X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2335])])).
% 58.13/9.52 tff(f65949,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less_eq(nat),iG638(X1,X0))) )),
% 58.13/9.52 inference(definition_unfolding,[],[f56702,f57184])).
% 58.13/9.52 tff(f56702,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less_eq(nat),upt(X0,X1))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f25255])).
% 58.13/9.52 tff(f25255,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less_eq(nat),upt(X0,X1))),
% 58.13/9.52 inference(rectify,[],[f8060])).
% 58.13/9.52 tff(f8060,axiom,(
% 58.13/9.52 ! [X15 : nat,X8 : nat] : sorted_wrt(nat,ord_less_eq(nat),upt(X15,X8))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8059_sorted__upt)).
% 58.13/9.52 tff(f90340,plain,(
% 58.13/9.52 spl5880_2334),
% 58.13/9.52 inference(avatar_split_clause,[],[f65948,f90338])).
% 58.13/9.52 tff(f90338,plain,(
% 58.13/9.52 spl5880_2334 <=> ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less(nat),iG638(X1,X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2334])])).
% 58.13/9.52 tff(f65948,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less(nat),iG638(X1,X0))) )),
% 58.13/9.52 inference(definition_unfolding,[],[f56701,f57184])).
% 58.13/9.52 tff(f56701,plain,(
% 58.13/9.52 ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less(nat),upt(X0,X1))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f25254])).
% 58.13/9.52 tff(f25254,plain,(
% 58.13/9.52 ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less(nat),upt(X0,X1))),
% 58.13/9.52 inference(rectify,[],[f8061])).
% 58.13/9.52 tff(f8061,axiom,(
% 58.13/9.52 ! [X15 : nat,X8 : nat] : sorted_wrt(nat,ord_less(nat),upt(X15,X8))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8060_sorted__wrt__upt)).
% 58.13/9.52 tff(f90335,plain,(
% 58.13/9.52 spl5880_2333),
% 58.13/9.52 inference(avatar_split_clause,[],[f65947,f90333])).
% 58.13/9.52 tff(f65947,plain,(
% 58.13/9.52 ( ! [X0 : int,X1 : int] : (sorted_wrt(int,ord_less_eq(int),iG636(X1,X0))) )),
% 58.13/9.52 inference(definition_unfolding,[],[f56700,f57182])).
% 58.13/9.52 tff(f56700,plain,(
% 58.13/9.52 ( ! [X0 : int,X1 : int] : (sorted_wrt(int,ord_less_eq(int),upto(X0,X1))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f25253])).
% 58.13/9.52 tff(f25253,plain,(
% 58.13/9.52 ! [X0 : int,X1 : int] : sorted_wrt(int,ord_less_eq(int),upto(X0,X1))),
% 58.13/9.52 inference(rectify,[],[f8106])).
% 58.13/9.52 tff(f8106,axiom,(
% 58.13/9.52 ! [X15 : int,X8 : int] : sorted_wrt(int,ord_less_eq(int),upto(X15,X8))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8105_sorted__upto)).
% 58.13/9.52 tff(f90319,plain,(
% 58.13/9.52 spl5880_2330 | spl5880_2332),
% 58.13/9.52 inference(avatar_split_clause,[],[f65727,f90316,f90299])).
% 58.13/9.52 tff(f65727,plain,(
% 58.13/9.52 one_one(nat) = iG272 | ma = iG269),
% 58.13/9.52 inference(definition_unfolding,[],[f49260,f49271])).
% 58.13/9.52 tff(f49260,plain,(
% 58.13/9.52 one_one(nat) = iG272 | ma = xn91),
% 58.13/9.52 inference(cnf_transformation,[],[f28136])).
% 58.13/9.52 tff(f28136,plain,(
% 58.13/9.52 (one_one(nat) = iG272 | ma = xn91) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),h93))) = iG272 | ma != xn91)),
% 58.13/9.52 inference(ennf_transformation,[],[f22704])).
% 58.13/9.52 tff(f22704,plain,(
% 58.13/9.52 (ma != xn91 => one_one(nat) = iG272) & (ma = xn91 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),h93))) = iG272)),
% 58.13/9.52 inference(flattening,[],[f9842])).
% 58.13/9.52 tff(f9842,plain,(
% 58.13/9.52 (~ma = xn91 => one_one(nat) = iG272) & (ma = xn91 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist95),h93))) = iG272)),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG272])])).
% 58.13/9.52 tff(f90313,plain,(
% 58.13/9.52 spl5880_1554 | ~spl5880_1551 | ~spl5880_2237),
% 58.13/9.52 inference(avatar_split_clause,[],[f90303,f89895,f86382,f86397])).
% 58.13/9.52 tff(f86397,plain,(
% 58.13/9.52 spl5880_1554 <=> xa = iG269),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_1554])])).
% 58.13/9.52 tff(f90303,plain,(
% 58.13/9.52 xa = iG269 | (~spl5880_1551 | ~spl5880_2237)),
% 58.13/9.52 inference(forward_demodulation,[],[f86384,f89897])).
% 58.13/9.52 tff(f90312,plain,(
% 58.13/9.52 spl5880_2331 | ~spl5880_541 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85250,f82412,f81148,f90309])).
% 58.13/9.52 tff(f90309,plain,(
% 58.13/9.52 spl5880_2331 <=> sP1964(rat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2331])])).
% 58.13/9.52 tff(f81148,plain,(
% 58.13/9.52 spl5880_541 <=> zero_neq_one(rat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_541])])).
% 58.13/9.52 tff(f85250,plain,(
% 58.13/9.52 sP1964(rat) | (~spl5880_541 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81150])).
% 58.13/9.52 tff(f81150,plain,(
% 58.13/9.52 zero_neq_one(rat) | ~spl5880_541),
% 58.13/9.52 inference(avatar_component_clause,[],[f81148])).
% 58.13/9.52 tff(f90302,plain,(
% 58.13/9.52 spl5880_2330 | ~spl5880_1552 | ~spl5880_1554 | ~spl5880_2327),
% 58.13/9.52 inference(avatar_split_clause,[],[f90292,f90283,f86397,f86386,f90299])).
% 58.13/9.52 tff(f86386,plain,(
% 58.13/9.52 spl5880_1552 <=> xa = iG287),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_1552])])).
% 58.13/9.52 tff(f90292,plain,(
% 58.13/9.52 ma = iG269 | (~spl5880_1552 | ~spl5880_1554 | ~spl5880_2327)),
% 58.13/9.52 inference(forward_demodulation,[],[f90285,f86401])).
% 58.13/9.52 tff(f86401,plain,(
% 58.13/9.52 iG269 = iG287 | (~spl5880_1552 | ~spl5880_1554)),
% 58.13/9.52 inference(superposition,[],[f86399,f86388])).
% 58.13/9.52 tff(f86388,plain,(
% 58.13/9.52 xa = iG287 | ~spl5880_1552),
% 58.13/9.52 inference(avatar_component_clause,[],[f86386])).
% 58.13/9.52 tff(f86399,plain,(
% 58.13/9.52 xa = iG269 | ~spl5880_1554),
% 58.13/9.52 inference(avatar_component_clause,[],[f86397])).
% 58.13/9.52 tff(f90297,plain,(
% 58.13/9.52 ~spl5880_2329 | ~spl5880_2236 | spl5880_2328),
% 58.13/9.52 inference(avatar_split_clause,[],[f90291,f90287,f89888,f90294])).
% 58.13/9.52 tff(f90294,plain,(
% 58.13/9.52 spl5880_2329 <=> iG286 = iG290),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2329])])).
% 58.13/9.52 tff(f90291,plain,(
% 58.13/9.52 iG286 != iG290 | (~spl5880_2236 | spl5880_2328)),
% 58.13/9.52 inference(forward_demodulation,[],[f90288,f89890])).
% 58.13/9.52 tff(f90290,plain,(
% 58.13/9.52 spl5880_2327 | spl5880_2328),
% 58.13/9.52 inference(avatar_split_clause,[],[f65705,f90287,f90283])).
% 58.13/9.52 tff(f65705,plain,(
% 58.13/9.52 one_one(nat) = iG290 | ma = iG287),
% 58.13/9.52 inference(definition_unfolding,[],[f49206,f49217])).
% 58.13/9.52 tff(f49206,plain,(
% 58.13/9.52 one_one(nat) = iG290 | ma = xn84),
% 58.13/9.52 inference(cnf_transformation,[],[f28117])).
% 58.13/9.52 tff(f28117,plain,(
% 58.13/9.52 (one_one(nat) = iG290 | ma = xn84) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),h86))) = iG290 | ma != xn84)),
% 58.13/9.52 inference(ennf_transformation,[],[f22687])).
% 58.13/9.52 tff(f22687,plain,(
% 58.13/9.52 (ma != xn84 => one_one(nat) = iG290) & (ma = xn84 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),h86))) = iG290)),
% 58.13/9.52 inference(flattening,[],[f9883])).
% 58.13/9.52 tff(f9883,plain,(
% 58.13/9.52 (~ma = xn84 => one_one(nat) = iG290) & (ma = xn84 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit1,one2)))),vEBT_T_m_a_x_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,newlist88),h86))) = iG290)),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG290])])).
% 58.13/9.52 tff(f90281,plain,(
% 58.13/9.52 spl5880_2326),
% 58.13/9.52 inference(avatar_split_clause,[],[f65075,f90279])).
% 58.13/9.52 tff(f90276,plain,(
% 58.13/9.52 spl5880_2325),
% 58.13/9.52 inference(avatar_split_clause,[],[f65069,f90274])).
% 58.13/9.52 tff(f90271,plain,(
% 58.13/9.52 spl5880_2324),
% 58.13/9.52 inference(avatar_split_clause,[],[f65062,f90269])).
% 58.13/9.52 tff(f90267,plain,(
% 58.13/9.52 spl5880_2323 | ~spl5880_545 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85249,f82412,f81168,f90264])).
% 58.13/9.52 tff(f90264,plain,(
% 58.13/9.52 spl5880_2323 <=> sP1964(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2323])])).
% 58.13/9.52 tff(f81168,plain,(
% 58.13/9.52 spl5880_545 <=> zero_neq_one(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_545])])).
% 58.13/9.52 tff(f85249,plain,(
% 58.13/9.52 sP1964(real) | (~spl5880_545 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81170])).
% 58.13/9.52 tff(f81170,plain,(
% 58.13/9.52 zero_neq_one(real) | ~spl5880_545),
% 58.13/9.52 inference(avatar_component_clause,[],[f81168])).
% 58.13/9.52 tff(f90262,plain,(
% 58.13/9.52 spl5880_2322),
% 58.13/9.52 inference(avatar_split_clause,[],[f64657,f90260])).
% 58.13/9.52 tff(f90260,plain,(
% 58.13/9.52 spl5880_2322 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP2509(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2322])])).
% 58.13/9.52 tff(f64657,plain,(
% 58.13/9.52 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP2509(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f45988])).
% 58.13/9.52 tff(f90258,plain,(
% 58.13/9.52 spl5880_2321),
% 58.13/9.52 inference(avatar_split_clause,[],[f64642,f90256])).
% 58.13/9.52 tff(f90256,plain,(
% 58.13/9.52 spl5880_2321 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP2505(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2321])])).
% 58.13/9.52 tff(f64642,plain,(
% 58.13/9.52 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP2505(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f45967])).
% 58.13/9.52 tff(f90254,plain,(
% 58.13/9.52 spl5880_2320),
% 58.13/9.52 inference(avatar_split_clause,[],[f61555,f90252])).
% 58.13/9.52 tff(f90252,plain,(
% 58.13/9.52 spl5880_2320 <=> ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (finite_finite(X0,X1) | sP2361(X0,X2,X1))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2320])])).
% 58.13/9.52 tff(f61555,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (finite_finite(X0,X1) | sP2361(X0,X2,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f37690])).
% 58.13/9.52 tff(f37690,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X1)),X2)) & finite_finite(X0,X1)) | sP2361(X0,X2,X1))),
% 58.13/9.52 inference(definition_folding,[],[f35439,f37689])).
% 58.13/9.52 tff(f35439,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X1)),X2)) & finite_finite(X0,X1)) | ? [X3 : set(X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2)) & finite_finite(X0,X3) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1))))),
% 58.13/9.52 inference(flattening,[],[f35438])).
% 58.13/9.52 tff(f35438,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X1)),X2)) & finite_finite(X0,X1)) | ? [X3 : set(X0)] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2)) & finite_finite(X0,X3)) & ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1))))),
% 58.13/9.52 inference(ennf_transformation,[],[f18073])).
% 58.13/9.52 tff(f18073,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (! [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) => (finite_finite(X0,X3) => ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2)))) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X1)),X2)) & finite_finite(X0,X1)))),
% 58.13/9.52 inference(fool_elimination,[],[f18072])).
% 58.13/9.52 tff(f18072,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : nat] : (! [X3 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1) => (finite_finite(X0,X3) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X3)),X2))) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X1)),X2) & finite_finite(X0,X1)))),
% 58.13/9.52 inference(rectify,[],[f5360])).
% 58.13/9.52 tff(f5360,axiom,(
% 58.13/9.52 ! [X0 : $tType,X214 : set(X0),X143 : nat] : (! [X292 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X292),X214) => (finite_finite(X0,X292) => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X292)),X143))) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(set(X0),nat,finite_card(X0),X214)),X143) & finite_finite(X0,X214)))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5359_finite__if__finite__subsets__card__bdd)).
% 58.13/9.52 tff(f90250,plain,(
% 58.13/9.52 spl5880_2319),
% 58.13/9.52 inference(avatar_split_clause,[],[f61286,f90248])).
% 58.13/9.52 tff(f90248,plain,(
% 58.13/9.52 spl5880_2319 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2317(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2319])])).
% 58.13/9.52 tff(f61286,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2317(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43842])).
% 58.13/9.52 tff(f90246,plain,(
% 58.13/9.52 spl5880_2318),
% 58.13/9.52 inference(avatar_split_clause,[],[f61285,f90244])).
% 58.13/9.52 tff(f90244,plain,(
% 58.13/9.52 spl5880_2318 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2317(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2318])])).
% 58.13/9.52 tff(f61285,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2317(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43842])).
% 58.13/9.52 tff(f90242,plain,(
% 58.13/9.52 spl5880_2317),
% 58.13/9.52 inference(avatar_split_clause,[],[f61281,f90240])).
% 58.13/9.52 tff(f90240,plain,(
% 58.13/9.52 spl5880_2317 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2318(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2317])])).
% 58.13/9.52 tff(f61281,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2318(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43840])).
% 58.13/9.52 tff(f90238,plain,(
% 58.13/9.52 spl5880_2316),
% 58.13/9.52 inference(avatar_split_clause,[],[f61277,f90236])).
% 58.13/9.52 tff(f90236,plain,(
% 58.13/9.52 spl5880_2316 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2319(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2316])])).
% 58.13/9.52 tff(f61277,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2319(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43836])).
% 58.13/9.52 tff(f90234,plain,(
% 58.13/9.52 spl5880_2315),
% 58.13/9.52 inference(avatar_split_clause,[],[f61274,f90232])).
% 58.13/9.52 tff(f90232,plain,(
% 58.13/9.52 spl5880_2315 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2320(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2315])])).
% 58.13/9.52 tff(f61274,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2320(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43832])).
% 58.13/9.52 tff(f90230,plain,(
% 58.13/9.52 spl5880_2314),
% 58.13/9.52 inference(avatar_split_clause,[],[f61262,f90228])).
% 58.13/9.52 tff(f90228,plain,(
% 58.13/9.52 spl5880_2314 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2323(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2314])])).
% 58.13/9.52 tff(f61262,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2323(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43818])).
% 58.13/9.52 tff(f90226,plain,(
% 58.13/9.52 spl5880_2313),
% 58.13/9.52 inference(avatar_split_clause,[],[f61250,f90224])).
% 58.13/9.52 tff(f90224,plain,(
% 58.13/9.52 spl5880_2313 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2309(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2313])])).
% 58.13/9.52 tff(f61250,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2309(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43805])).
% 58.13/9.52 tff(f90222,plain,(
% 58.13/9.52 spl5880_2312 | ~spl5880_543 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85248,f82412,f81158,f90219])).
% 58.13/9.52 tff(f90219,plain,(
% 58.13/9.52 spl5880_2312 <=> sP1964(complex)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2312])])).
% 58.13/9.52 tff(f81158,plain,(
% 58.13/9.52 spl5880_543 <=> zero_neq_one(complex)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_543])])).
% 58.13/9.52 tff(f85248,plain,(
% 58.13/9.52 sP1964(complex) | (~spl5880_543 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81160])).
% 58.13/9.52 tff(f81160,plain,(
% 58.13/9.52 zero_neq_one(complex) | ~spl5880_543),
% 58.13/9.52 inference(avatar_component_clause,[],[f81158])).
% 58.13/9.52 tff(f90217,plain,(
% 58.13/9.52 spl5880_2311),
% 58.13/9.52 inference(avatar_split_clause,[],[f61249,f90215])).
% 58.13/9.52 tff(f90215,plain,(
% 58.13/9.52 spl5880_2311 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2309(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2311])])).
% 58.13/9.52 tff(f61249,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2309(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43805])).
% 58.13/9.52 tff(f90213,plain,(
% 58.13/9.52 spl5880_2310),
% 58.13/9.52 inference(avatar_split_clause,[],[f61245,f90211])).
% 58.13/9.52 tff(f90211,plain,(
% 58.13/9.52 spl5880_2310 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2310(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2310])])).
% 58.13/9.52 tff(f61245,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2310(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43803])).
% 58.13/9.52 tff(f90209,plain,(
% 58.13/9.52 spl5880_2309),
% 58.13/9.52 inference(avatar_split_clause,[],[f61241,f90207])).
% 58.13/9.52 tff(f90207,plain,(
% 58.13/9.52 spl5880_2309 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2311(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2309])])).
% 58.13/9.52 tff(f61241,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2311(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43799])).
% 58.13/9.52 tff(f90205,plain,(
% 58.13/9.52 spl5880_2308),
% 58.13/9.52 inference(avatar_split_clause,[],[f61238,f90203])).
% 58.13/9.52 tff(f90203,plain,(
% 58.13/9.52 spl5880_2308 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2312(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2308])])).
% 58.13/9.52 tff(f61238,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2312(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43795])).
% 58.13/9.52 tff(f90201,plain,(
% 58.13/9.52 spl5880_2307),
% 58.13/9.52 inference(avatar_split_clause,[],[f61226,f90199])).
% 58.13/9.52 tff(f90199,plain,(
% 58.13/9.52 spl5880_2307 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2315(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2307])])).
% 58.13/9.52 tff(f61226,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2315(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43781])).
% 58.13/9.52 tff(f90197,plain,(
% 58.13/9.52 spl5880_2306),
% 58.13/9.52 inference(avatar_split_clause,[],[f61216,f90195])).
% 58.13/9.52 tff(f90195,plain,(
% 58.13/9.52 spl5880_2306 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2301(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2306])])).
% 58.13/9.52 tff(f61216,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2301(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43768])).
% 58.13/9.52 tff(f90193,plain,(
% 58.13/9.52 spl5880_2305),
% 58.13/9.52 inference(avatar_split_clause,[],[f61215,f90191])).
% 58.13/9.52 tff(f90191,plain,(
% 58.13/9.52 spl5880_2305 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2301(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2305])])).
% 58.13/9.52 tff(f61215,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2301(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43768])).
% 58.13/9.52 tff(f90189,plain,(
% 58.13/9.52 spl5880_2304),
% 58.13/9.52 inference(avatar_split_clause,[],[f61212,f90187])).
% 58.13/9.52 tff(f90187,plain,(
% 58.13/9.52 spl5880_2304 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2302(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2304])])).
% 58.13/9.52 tff(f61212,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2302(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43766])).
% 58.13/9.52 tff(f90185,plain,(
% 58.13/9.52 spl5880_2303),
% 58.13/9.52 inference(avatar_split_clause,[],[f61209,f90183])).
% 58.13/9.52 tff(f90183,plain,(
% 58.13/9.52 spl5880_2303 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2303(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2303])])).
% 58.13/9.52 tff(f61209,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2303(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43762])).
% 58.13/9.52 tff(f90181,plain,(
% 58.13/9.52 spl5880_2302),
% 58.13/9.52 inference(avatar_split_clause,[],[f61207,f90179])).
% 58.13/9.52 tff(f90179,plain,(
% 58.13/9.52 spl5880_2302 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2304(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2302])])).
% 58.13/9.52 tff(f61207,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2304(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43758])).
% 58.13/9.52 tff(f90177,plain,(
% 58.13/9.52 spl5880_2301 | ~spl5880_540 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85247,f82412,f81143,f90174])).
% 58.13/9.52 tff(f90174,plain,(
% 58.13/9.52 spl5880_2301 <=> sP1964(extended_enat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2301])])).
% 58.13/9.52 tff(f81143,plain,(
% 58.13/9.52 spl5880_540 <=> zero_neq_one(extended_enat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_540])])).
% 58.13/9.52 tff(f85247,plain,(
% 58.13/9.52 sP1964(extended_enat) | (~spl5880_540 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81145])).
% 58.13/9.52 tff(f81145,plain,(
% 58.13/9.52 zero_neq_one(extended_enat) | ~spl5880_540),
% 58.13/9.52 inference(avatar_component_clause,[],[f81143])).
% 58.13/9.52 tff(f90172,plain,(
% 58.13/9.52 spl5880_2300),
% 58.13/9.52 inference(avatar_split_clause,[],[f61198,f90170])).
% 58.13/9.52 tff(f90170,plain,(
% 58.13/9.52 spl5880_2300 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2307(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2300])])).
% 58.13/9.52 tff(f61198,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2307(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43744])).
% 58.13/9.52 tff(f90168,plain,(
% 58.13/9.52 spl5880_2299),
% 58.13/9.52 inference(avatar_split_clause,[],[f61189,f90166])).
% 58.13/9.52 tff(f90166,plain,(
% 58.13/9.52 spl5880_2299 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2293(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2299])])).
% 58.13/9.52 tff(f61189,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2293(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43731])).
% 58.13/9.52 tff(f90164,plain,(
% 58.13/9.52 spl5880_2298),
% 58.13/9.52 inference(avatar_split_clause,[],[f61188,f90162])).
% 58.13/9.52 tff(f90162,plain,(
% 58.13/9.52 spl5880_2298 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2293(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2298])])).
% 58.13/9.52 tff(f61188,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2293(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43731])).
% 58.13/9.52 tff(f90160,plain,(
% 58.13/9.52 spl5880_2297),
% 58.13/9.52 inference(avatar_split_clause,[],[f61185,f90158])).
% 58.13/9.52 tff(f90158,plain,(
% 58.13/9.52 spl5880_2297 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2294(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2297])])).
% 58.13/9.52 tff(f61185,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2294(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43729])).
% 58.13/9.52 tff(f90156,plain,(
% 58.13/9.52 spl5880_2296),
% 58.13/9.52 inference(avatar_split_clause,[],[f61182,f90154])).
% 58.13/9.52 tff(f90154,plain,(
% 58.13/9.52 spl5880_2296 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2295(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2296])])).
% 58.13/9.52 tff(f61182,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2295(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43725])).
% 58.13/9.52 tff(f90152,plain,(
% 58.13/9.52 spl5880_2295),
% 58.13/9.52 inference(avatar_split_clause,[],[f61180,f90150])).
% 58.13/9.52 tff(f90150,plain,(
% 58.13/9.52 spl5880_2295 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2296(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2295])])).
% 58.13/9.52 tff(f61180,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2296(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43721])).
% 58.13/9.52 tff(f90148,plain,(
% 58.13/9.52 spl5880_2294),
% 58.13/9.52 inference(avatar_split_clause,[],[f61171,f90146])).
% 58.13/9.52 tff(f90146,plain,(
% 58.13/9.52 spl5880_2294 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2299(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2294])])).
% 58.13/9.52 tff(f61171,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2299(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43707])).
% 58.13/9.52 tff(f90144,plain,(
% 58.13/9.52 spl5880_2293),
% 58.13/9.52 inference(avatar_split_clause,[],[f61086,f90142])).
% 58.13/9.52 tff(f90142,plain,(
% 58.13/9.52 spl5880_2293 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2284(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2293])])).
% 58.13/9.52 tff(f61086,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2284(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43645])).
% 58.13/9.52 tff(f90140,plain,(
% 58.13/9.52 spl5880_2292),
% 58.13/9.52 inference(avatar_split_clause,[],[f61085,f90138])).
% 58.13/9.52 tff(f90138,plain,(
% 58.13/9.52 spl5880_2292 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2284(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2292])])).
% 58.13/9.52 tff(f61085,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2284(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43645])).
% 58.13/9.52 tff(f90136,plain,(
% 58.13/9.52 spl5880_2291),
% 58.13/9.52 inference(avatar_split_clause,[],[f61081,f90134])).
% 58.13/9.52 tff(f90134,plain,(
% 58.13/9.52 spl5880_2291 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2285(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2291])])).
% 58.13/9.52 tff(f61081,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2285(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43643])).
% 58.13/9.52 tff(f90132,plain,(
% 58.13/9.52 spl5880_2290 | ~spl5880_542 | ~spl5880_811),
% 58.13/9.52 inference(avatar_split_clause,[],[f85246,f82412,f81153,f90129])).
% 58.13/9.52 tff(f90129,plain,(
% 58.13/9.52 spl5880_2290 <=> sP1964(code_integer)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2290])])).
% 58.13/9.52 tff(f81153,plain,(
% 58.13/9.52 spl5880_542 <=> zero_neq_one(code_integer)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_542])])).
% 58.13/9.52 tff(f85246,plain,(
% 58.13/9.52 sP1964(code_integer) | (~spl5880_542 | ~spl5880_811)),
% 58.13/9.52 inference(resolution,[],[f82413,f81155])).
% 58.13/9.52 tff(f81155,plain,(
% 58.13/9.52 zero_neq_one(code_integer) | ~spl5880_542),
% 58.13/9.52 inference(avatar_component_clause,[],[f81153])).
% 58.13/9.52 tff(f90127,plain,(
% 58.13/9.52 spl5880_2289),
% 58.13/9.52 inference(avatar_split_clause,[],[f61077,f90125])).
% 58.13/9.52 tff(f90125,plain,(
% 58.13/9.52 spl5880_2289 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2286(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2289])])).
% 58.13/9.52 tff(f61077,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2286(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43639])).
% 58.13/9.52 tff(f90123,plain,(
% 58.13/9.52 spl5880_2288),
% 58.13/9.52 inference(avatar_split_clause,[],[f61074,f90121])).
% 58.13/9.52 tff(f90121,plain,(
% 58.13/9.52 spl5880_2288 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2287(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2288])])).
% 58.13/9.52 tff(f61074,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2287(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43635])).
% 58.13/9.52 tff(f90119,plain,(
% 58.13/9.52 spl5880_2287),
% 58.13/9.52 inference(avatar_split_clause,[],[f61062,f90117])).
% 58.13/9.52 tff(f90117,plain,(
% 58.13/9.52 spl5880_2287 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2290(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2287])])).
% 58.13/9.52 tff(f61062,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2290(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43621])).
% 58.13/9.52 tff(f90115,plain,(
% 58.13/9.52 spl5880_2286),
% 58.13/9.52 inference(avatar_split_clause,[],[f61052,f90113])).
% 58.13/9.52 tff(f90113,plain,(
% 58.13/9.52 spl5880_2286 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2276(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2286])])).
% 58.13/9.52 tff(f61052,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2276(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43608])).
% 58.13/9.52 tff(f90111,plain,(
% 58.13/9.52 spl5880_2285),
% 58.13/9.52 inference(avatar_split_clause,[],[f61051,f90109])).
% 58.13/9.52 tff(f90109,plain,(
% 58.13/9.52 spl5880_2285 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2276(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2285])])).
% 58.13/9.52 tff(f61051,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2276(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43608])).
% 58.13/9.52 tff(f90107,plain,(
% 58.13/9.52 spl5880_2284),
% 58.13/9.52 inference(avatar_split_clause,[],[f61048,f90105])).
% 58.13/9.52 tff(f90105,plain,(
% 58.13/9.52 spl5880_2284 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2277(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2284])])).
% 58.13/9.52 tff(f61048,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2277(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43606])).
% 58.13/9.52 tff(f90103,plain,(
% 58.13/9.52 spl5880_2283),
% 58.13/9.52 inference(avatar_split_clause,[],[f61045,f90101])).
% 58.13/9.52 tff(f90101,plain,(
% 58.13/9.52 spl5880_2283 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2278(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2283])])).
% 58.13/9.52 tff(f61045,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP2278(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43602])).
% 58.13/9.52 tff(f90099,plain,(
% 58.13/9.52 spl5880_2282),
% 58.13/9.52 inference(avatar_split_clause,[],[f61043,f90097])).
% 58.13/9.52 tff(f90097,plain,(
% 58.13/9.52 spl5880_2282 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2279(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2282])])).
% 58.13/9.52 tff(f61043,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2279(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43598])).
% 58.13/9.52 tff(f90095,plain,(
% 58.13/9.52 spl5880_2281),
% 58.13/9.52 inference(avatar_split_clause,[],[f61034,f90093])).
% 58.13/9.52 tff(f90093,plain,(
% 58.13/9.52 spl5880_2281 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2282(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2281])])).
% 58.13/9.52 tff(f61034,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP2282(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43584])).
% 58.13/9.52 tff(f90091,plain,(
% 58.13/9.52 spl5880_2280),
% 58.13/9.52 inference(avatar_split_clause,[],[f60903,f90089])).
% 58.13/9.52 tff(f90089,plain,(
% 58.13/9.52 spl5880_2280 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2237(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2280])])).
% 58.13/9.52 tff(f60903,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2237(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43418])).
% 58.13/9.52 tff(f43418,plain,(
% 58.13/9.52 ! [X0 : num,X1 : num,X2 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & one2 = X0 & one2 = X1 & one2 = X2) | ~sP2237(X0,X1,X2))),
% 58.13/9.52 inference(rectify,[],[f43417])).
% 58.13/9.52 tff(f43417,plain,(
% 58.13/9.52 ! [X2 : num,X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & one2 = X2 & one2 = X1 & one2 = X0) | ~sP2237(X2,X1,X0))),
% 58.13/9.52 inference(nnf_transformation,[],[f37540])).
% 58.13/9.52 tff(f37540,plain,(
% 58.13/9.52 ! [X2 : num,X1 : num,X0 : num] : (((aa(product_prod(num,num),$o,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)) = $true) & one2 = X2 & one2 = X1 & one2 = X0) | ~sP2237(X2,X1,X0))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2237])])).
% 58.13/9.52 tff(f90087,plain,(
% 58.13/9.52 spl5880_2279 | ~spl5880_544 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85245,f82408,f81163,f90084])).
% 58.13/9.52 tff(f90084,plain,(
% 58.13/9.52 spl5880_2279 <=> sP1962(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2279])])).
% 58.13/9.52 tff(f82408,plain,(
% 58.13/9.52 spl5880_810 <=> ! [X0 : $tType] : (sP1962(X0) | ~zero_neq_one(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_810])])).
% 58.13/9.52 tff(f85245,plain,(
% 58.13/9.52 sP1962(int) | (~spl5880_544 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81165])).
% 58.13/9.52 tff(f82409,plain,(
% 58.13/9.52 ( ! [X0 : $tType] : (~zero_neq_one(X0) | sP1962(X0)) ) | ~spl5880_810),
% 58.13/9.52 inference(avatar_component_clause,[],[f82408])).
% 58.13/9.52 tff(f90082,plain,(
% 58.13/9.52 spl5880_2278),
% 58.13/9.52 inference(avatar_split_clause,[],[f60902,f90080])).
% 58.13/9.52 tff(f90080,plain,(
% 58.13/9.52 spl5880_2278 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2237(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2278])])).
% 58.13/9.52 tff(f60902,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2237(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43418])).
% 58.13/9.52 tff(f90078,plain,(
% 58.13/9.52 spl5880_2277),
% 58.13/9.52 inference(avatar_split_clause,[],[f60901,f90076])).
% 58.13/9.52 tff(f90076,plain,(
% 58.13/9.52 spl5880_2277 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2237(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2277])])).
% 58.13/9.52 tff(f60901,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2237(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43418])).
% 58.13/9.52 tff(f90074,plain,(
% 58.13/9.52 spl5880_2276),
% 58.13/9.52 inference(avatar_split_clause,[],[f60897,f90072])).
% 58.13/9.52 tff(f90072,plain,(
% 58.13/9.52 spl5880_2276 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2238(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2276])])).
% 58.13/9.52 tff(f60897,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2238(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43416])).
% 58.13/9.52 tff(f90070,plain,(
% 58.13/9.52 spl5880_2275),
% 58.13/9.52 inference(avatar_split_clause,[],[f60893,f90068])).
% 58.13/9.52 tff(f90068,plain,(
% 58.13/9.52 spl5880_2275 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2239(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2275])])).
% 58.13/9.52 tff(f60893,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2239(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43412])).
% 58.13/9.52 tff(f90066,plain,(
% 58.13/9.52 spl5880_2274),
% 58.13/9.52 inference(avatar_split_clause,[],[f60890,f90064])).
% 58.13/9.52 tff(f90064,plain,(
% 58.13/9.52 spl5880_2274 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2240(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2274])])).
% 58.13/9.52 tff(f60890,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2240(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43408])).
% 58.13/9.52 tff(f90062,plain,(
% 58.13/9.52 spl5880_2273),
% 58.13/9.52 inference(avatar_split_clause,[],[f60879,f90060])).
% 58.13/9.52 tff(f90060,plain,(
% 58.13/9.52 spl5880_2273 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2243(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2273])])).
% 58.13/9.52 tff(f60879,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2243(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43394])).
% 58.13/9.52 tff(f90058,plain,(
% 58.13/9.52 spl5880_2272),
% 58.13/9.52 inference(avatar_split_clause,[],[f60878,f90056])).
% 58.13/9.52 tff(f90056,plain,(
% 58.13/9.52 spl5880_2272 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2243(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2272])])).
% 58.13/9.52 tff(f60878,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2243(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43394])).
% 58.13/9.52 tff(f90054,plain,(
% 58.13/9.52 spl5880_2271),
% 58.13/9.52 inference(avatar_split_clause,[],[f60869,f90052])).
% 58.13/9.52 tff(f90052,plain,(
% 58.13/9.52 spl5880_2271 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2229(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2271])])).
% 58.13/9.52 tff(f60869,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2229(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43381])).
% 58.13/9.52 tff(f43381,plain,(
% 58.13/9.52 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & one2 = X2) | ~sP2229(X0,X1,X2))),
% 58.13/9.52 inference(rectify,[],[f43380])).
% 58.13/9.52 tff(f43380,plain,(
% 58.13/9.52 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & one2 = X0) | ~sP2229(X2,X1,X0))),
% 58.13/9.52 inference(nnf_transformation,[],[f37531])).
% 58.13/9.52 tff(f37531,plain,(
% 58.13/9.52 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & one2 = X0) | ~sP2229(X2,X1,X0))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2229])])).
% 58.13/9.52 tff(f90050,plain,(
% 58.13/9.52 spl5880_2270),
% 58.13/9.52 inference(avatar_split_clause,[],[f60868,f90048])).
% 58.13/9.52 tff(f90048,plain,(
% 58.13/9.52 spl5880_2270 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2229(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2270])])).
% 58.13/9.52 tff(f60868,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2229(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43381])).
% 58.13/9.52 tff(f90046,plain,(
% 58.13/9.52 spl5880_2269),
% 58.13/9.52 inference(avatar_split_clause,[],[f60867,f90044])).
% 58.13/9.52 tff(f90044,plain,(
% 58.13/9.52 spl5880_2269 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2229(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2269])])).
% 58.13/9.52 tff(f60867,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2229(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43381])).
% 58.13/9.52 tff(f90042,plain,(
% 58.13/9.52 spl5880_2268 | ~spl5880_546 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85244,f82408,f81173,f90039])).
% 58.13/9.52 tff(f90039,plain,(
% 58.13/9.52 spl5880_2268 <=> sP1962(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2268])])).
% 58.13/9.52 tff(f85244,plain,(
% 58.13/9.52 sP1962(nat) | (~spl5880_546 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81175])).
% 58.13/9.52 tff(f90037,plain,(
% 58.13/9.52 spl5880_2267),
% 58.13/9.52 inference(avatar_split_clause,[],[f60864,f90035])).
% 58.13/9.52 tff(f90035,plain,(
% 58.13/9.52 spl5880_2267 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2230(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2267])])).
% 58.13/9.52 tff(f60864,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2230(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43379])).
% 58.13/9.52 tff(f90033,plain,(
% 58.13/9.52 spl5880_2266),
% 58.13/9.52 inference(avatar_split_clause,[],[f60861,f90031])).
% 58.13/9.52 tff(f90031,plain,(
% 58.13/9.52 spl5880_2266 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2231(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2266])])).
% 58.13/9.52 tff(f60861,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP2231(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43375])).
% 58.13/9.52 tff(f90029,plain,(
% 58.13/9.52 spl5880_2265),
% 58.13/9.52 inference(avatar_split_clause,[],[f60859,f90027])).
% 58.13/9.52 tff(f90027,plain,(
% 58.13/9.52 spl5880_2265 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2232(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2265])])).
% 58.13/9.52 tff(f60859,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2232(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43371])).
% 58.13/9.52 tff(f90025,plain,(
% 58.13/9.52 spl5880_2264),
% 58.13/9.52 inference(avatar_split_clause,[],[f60851,f90023])).
% 58.13/9.52 tff(f90023,plain,(
% 58.13/9.52 spl5880_2264 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2235(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2264])])).
% 58.13/9.52 tff(f60851,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP2235(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43357])).
% 58.13/9.52 tff(f90021,plain,(
% 58.13/9.52 spl5880_2263),
% 58.13/9.52 inference(avatar_split_clause,[],[f60850,f90019])).
% 58.13/9.52 tff(f90019,plain,(
% 58.13/9.52 spl5880_2263 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2235(X0,X1,X2))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2263])])).
% 58.13/9.52 tff(f60850,plain,(
% 58.13/9.52 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP2235(X0,X1,X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f43357])).
% 58.13/9.52 tff(f90017,plain,(
% 58.13/9.52 spl5880_2262),
% 58.13/9.52 inference(avatar_split_clause,[],[f60467,f90015])).
% 58.13/9.52 tff(f90015,plain,(
% 58.13/9.52 spl5880_2262 <=> ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP2138(X0,X1,X2) | ~finite_finite(X0,X1))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2262])])).
% 58.13/9.52 tff(f60467,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP2138(X0,X1,X2) | ~finite_finite(X0,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f37417])).
% 58.13/9.52 tff(f37417,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (sP2138(X0,X1,X2) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(definition_folding,[],[f35111,f37416,f37415])).
% 58.13/9.52 tff(f37416,plain,(
% 58.13/9.52 ! [X1 : set(X0),X2 : fun(X0,nat),X0 : $tType] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> sP2137(X0,X2,X1)) | ~sP2138(X0,X1,X2))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2138])])).
% 58.13/9.52 tff(f35111,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & member(X0,X3,X1))) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(flattening,[],[f35110])).
% 58.13/9.52 tff(f35110,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : ((zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4) | ~member(X0,X4,X1)) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & member(X0,X3,X1))) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(ennf_transformation,[],[f26533])).
% 58.13/9.52 tff(f26533,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (finite_finite(X0,X1) => (aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (X3 != X4 => zero_zero(nat) = aa(X0,nat,X2,X4))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & member(X0,X3,X1))))),
% 58.13/9.52 inference(rectify,[],[f2990])).
% 58.13/9.52 tff(f2990,axiom,(
% 58.13/9.52 ! [X0 : $tType,X27 : set(X0),X30 : fun(X0,nat)] : (finite_finite(X0,X27) => (aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X30),X27) <=> ? [X65 : X0] : (! [X210 : X0] : (member(X0,X210,X27) => (X65 != X210 => zero_zero(nat) = aa(X0,nat,X30,X210))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X30,X65) & member(X0,X65,X27))))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2989_sum__eq__Suc0__iff)).
% 58.13/9.52 tff(f90013,plain,(
% 58.13/9.52 spl5880_2261),
% 58.13/9.52 inference(avatar_split_clause,[],[f60458,f90011])).
% 58.13/9.52 tff(f90011,plain,(
% 58.13/9.52 spl5880_2261 <=> ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP2136(X0,X1,X2) | ~finite_finite(X0,X1))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2261])])).
% 58.13/9.52 tff(f60458,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP2136(X0,X1,X2) | ~finite_finite(X0,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f37414])).
% 58.13/9.52 tff(f37414,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (sP2136(X0,X1,X2) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(definition_folding,[],[f35109,f37413,f37412])).
% 58.13/9.52 tff(f37413,plain,(
% 58.13/9.52 ! [X1 : set(X0),X2 : fun(X0,nat),X0 : $tType] : ((one_one(nat) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> sP2135(X0,X2,X1)) | ~sP2136(X0,X1,X2))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2136])])).
% 58.13/9.52 tff(f35109,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((one_one(nat) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~member(X0,X4,X1)) & one_one(nat) = aa(X0,nat,X2,X3) & member(X0,X3,X1))) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(flattening,[],[f35108])).
% 58.13/9.52 tff(f35108,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((one_one(nat) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : ((zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4) | ~member(X0,X4,X1)) & one_one(nat) = aa(X0,nat,X2,X3) & member(X0,X3,X1))) | ~finite_finite(X0,X1))),
% 58.13/9.52 inference(ennf_transformation,[],[f26532])).
% 58.13/9.52 tff(f26532,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (finite_finite(X0,X1) => (one_one(nat) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (member(X0,X4,X1) => (X3 != X4 => zero_zero(nat) = aa(X0,nat,X2,X4))) & one_one(nat) = aa(X0,nat,X2,X3) & member(X0,X3,X1))))),
% 58.13/9.52 inference(rectify,[],[f2992])).
% 58.13/9.52 tff(f2992,axiom,(
% 58.13/9.52 ! [X0 : $tType,X27 : set(X0),X30 : fun(X0,nat)] : (finite_finite(X0,X27) => (one_one(nat) = aa(set(X0),nat,groups7311177749621191930dd_sum(X0,nat,X30),X27) <=> ? [X65 : X0] : (! [X210 : X0] : (member(X0,X210,X27) => (X65 != X210 => zero_zero(nat) = aa(X0,nat,X30,X210))) & one_one(nat) = aa(X0,nat,X30,X65) & member(X0,X65,X27))))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2991_sum__eq__1__iff)).
% 58.13/9.52 tff(f90009,plain,(
% 58.13/9.52 spl5880_2260),
% 58.13/9.52 inference(avatar_split_clause,[],[f60250,f90007])).
% 58.13/9.52 tff(f90007,plain,(
% 58.13/9.52 spl5880_2260 <=> ! [X2 : nat,X0 : $o,X1 : $o] : ~vEBT_VEBT_membermima(vEBT_Leaf(bG986(X0),bG987(X1)),X2)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2260])])).
% 58.13/9.52 tff(f60250,plain,(
% 58.13/9.52 ( ! [X2 : nat,X0 : $o,X1 : $o] : (~vEBT_VEBT_membermima(vEBT_Leaf(bG986(X0),bG987(X1)),X2)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f17114])).
% 58.13/9.52 tff(f17114,plain,(
% 58.13/9.52 ! [X0 : $o,X1 : $o,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(bG986(X0),bG987(X1)),X2)),
% 58.13/9.52 inference(fool_elimination,[],[f17111,f17113,f17112])).
% 58.13/9.52 tff(f17112,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG986(X0)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG986])])).
% 58.13/9.52 tff(f17113,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG987(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG987])])).
% 58.13/9.52 tff(f17111,plain,(
% 58.13/9.52 ! [X0 : $o,X1 : $o,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)),
% 58.13/9.52 inference(rectify,[],[f1034])).
% 58.13/9.52 tff(f1034,axiom,(
% 58.13/9.52 ! [X105 : $o,X109 : $o,X110 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X105,X109),X110)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1033_VEBT__internal_Omembermima_Osimps_I1_J)).
% 58.13/9.52 tff(f90005,plain,(
% 58.13/9.52 spl5880_2259),
% 58.13/9.52 inference(avatar_split_clause,[],[f59798,f90003])).
% 58.13/9.52 tff(f59798,plain,(
% 58.13/9.52 ( ! [X0 : int,X1 : int] : (sP2121(X0,X1) | ~dvd_dvd(int,X0,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42683])).
% 58.13/9.52 tff(f90001,plain,(
% 58.13/9.52 spl5880_2258),
% 58.13/9.52 inference(avatar_split_clause,[],[f59372,f89999])).
% 58.13/9.52 tff(f89999,plain,(
% 58.13/9.52 spl5880_2258 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | X1 = X2)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2258])])).
% 58.13/9.52 tff(f59372,plain,(
% 58.13/9.52 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2099(X0,X1,X2) | X1 = X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42366])).
% 58.13/9.52 tff(f89997,plain,(
% 58.13/9.52 spl5880_2257 | ~spl5880_541 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85243,f82408,f81148,f89994])).
% 58.13/9.52 tff(f89994,plain,(
% 58.13/9.52 spl5880_2257 <=> sP1962(rat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2257])])).
% 58.13/9.52 tff(f85243,plain,(
% 58.13/9.52 sP1962(rat) | (~spl5880_541 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81150])).
% 58.13/9.52 tff(f89992,plain,(
% 58.13/9.52 spl5880_2256),
% 58.13/9.52 inference(avatar_split_clause,[],[f59352,f89990])).
% 58.13/9.52 tff(f89990,plain,(
% 58.13/9.52 spl5880_2256 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | X1 = X2)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2256])])).
% 58.13/9.52 tff(f59352,plain,(
% 58.13/9.52 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2103(X0,X1,X2) | X1 = X2) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42344])).
% 58.13/9.52 tff(f89988,plain,(
% 58.13/9.52 spl5880_2255),
% 58.13/9.52 inference(avatar_split_clause,[],[f59279,f89986])).
% 58.13/9.52 tff(f59279,plain,(
% 58.13/9.52 ( ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_max_in_set(X0,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42297])).
% 58.13/9.52 tff(f89984,plain,(
% 58.13/9.52 spl5880_2254),
% 58.13/9.52 inference(avatar_split_clause,[],[f59275,f89982])).
% 58.13/9.52 tff(f59275,plain,(
% 58.13/9.52 ( ! [X0 : set(nat),X1 : nat] : (member(nat,X1,X0) | ~vEBT_VEBT_min_in_set(X0,X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42292])).
% 58.13/9.52 tff(f89980,plain,(
% 58.13/9.52 spl5880_2253),
% 58.13/9.52 inference(avatar_split_clause,[],[f58864,f89978])).
% 58.13/9.52 tff(f89978,plain,(
% 58.13/9.52 spl5880_2253 <=> ! [X0 : fun(int,$o)] : (zero_zero(int) != sK4080(X0) | ~sP2093(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2253])])).
% 58.13/9.52 tff(f58864,plain,(
% 58.13/9.52 ( ! [X0 : fun(int,$o)] : (zero_zero(int) != sK4080(X0) | ~sP2093(X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f42181])).
% 58.13/9.52 tff(f89976,plain,(
% 58.13/9.52 spl5880_2252),
% 58.13/9.52 inference(avatar_split_clause,[],[f58695,f89974])).
% 58.13/9.52 tff(f89974,plain,(
% 58.13/9.52 spl5880_2252 <=> ! [X1 : $tType,X0 : $tType] : (sP2079(X1,X0) | ~ord(X0) | ~ord(X1))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2252])])).
% 58.13/9.52 tff(f58695,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X0 : $tType] : (sP2079(X1,X0) | ~ord(X0) | ~ord(X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f37331])).
% 58.13/9.52 tff(f37331,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (sP2079(X1,X0) | ~ord(X0) | ~ord(X1))),
% 58.13/9.52 inference(definition_folding,[],[f34340,f37330,f37329])).
% 58.13/9.52 tff(f34340,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) | ~member(X1,X5,X3) | ~member(X1,X4,X3))) | ~ord(X0) | ~ord(X1))),
% 58.13/9.52 inference(flattening,[],[f34339])).
% 58.13/9.52 tff(f34339,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) | ~member(X1,X5,X3) | ~member(X1,X4,X3)))) | (~ord(X0) | ~ord(X1)))),
% 58.13/9.52 inference(ennf_transformation,[],[f15717])).
% 58.13/9.52 tff(f15717,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : ((ord(X0) & ord(X1)) => ! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : ((($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5)) & member(X1,X5,X3) & member(X1,X4,X3)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))))))),
% 58.13/9.52 inference(fool_elimination,[],[f15716])).
% 58.13/9.52 tff(f15716,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : ((ord(X0) & ord(X1)) => ! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : ((aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X4),X5) & member(X1,X5,X3) & member(X1,X4,X3)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5)))))),
% 58.13/9.52 inference(rectify,[],[f5672])).
% 58.13/9.52 tff(f5672,axiom,(
% 58.13/9.52 ! [X1 : $tType,X0 : $tType] : ((ord(X1) & ord(X0)) => ! [X30 : fun(X0,X1),X27 : set(X0)] : (strict_mono_on(X0,X1,X30,X27) <=> ! [X271 : X0,X298 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X271),X298) & member(X0,X298,X27) & member(X0,X271,X27)) => aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),aa(X0,X1,X30,X271)),aa(X0,X1,X30,X298)))))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5671_strict__mono__on__def)).
% 58.13/9.52 tff(f89972,plain,(
% 58.13/9.52 spl5880_2251),
% 58.13/9.52 inference(avatar_split_clause,[],[f58477,f89970])).
% 58.13/9.52 tff(f89970,plain,(
% 58.13/9.52 spl5880_2251 <=> ! [X1 : $tType,X0 : $tType] : (sP2068(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2251])])).
% 58.13/9.52 tff(f58477,plain,(
% 58.13/9.52 ( ! [X1 : $tType,X0 : $tType] : (sP2068(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f37313])).
% 58.13/9.52 tff(f37313,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (sP2068(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.13/9.52 inference(definition_folding,[],[f34098,f37312,f37311])).
% 58.13/9.52 tff(f37311,plain,(
% 58.13/9.52 ! [X3 : X0,X2 : fun(X1,X0),X0 : $tType,X1 : $tType,X4 : X1] : (sP2067(X0,X1,X3,X2,X4) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X6))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X5))))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2067])])).
% 58.13/9.52 tff(f37312,plain,(
% 58.13/9.52 ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> sP2067(X0,X1,X3,X2,X4)) | ~sP2068(X1,X0))),
% 58.13/9.52 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2068])])).
% 58.13/9.52 tff(f34098,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X6))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X5)))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 58.13/9.52 inference(flattening,[],[f34097])).
% 58.13/9.52 tff(f34097,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X6))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X5)))) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 58.13/9.52 inference(ennf_transformation,[],[f15624])).
% 58.13/9.52 tff(f15624,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X5)) => ? [X6 : real] : (! [X7 : X1] : ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) & X4 != X7) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X6))))))),
% 58.13/9.52 inference(fool_elimination,[],[f15623])).
% 58.13/9.52 tff(f15623,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X5) => ? [X6 : real] : (! [X7 : X1] : ((aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6) & X4 != X7) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X6)))))),
% 58.13/9.52 inference(rectify,[],[f6210])).
% 58.13/9.52 tff(f6210,axiom,(
% 58.13/9.52 ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X30 : fun(X0,X1),X327 : X1,X11 : X0] : (filterlim(X0,X1,X30,topolo7230453075368039082e_nhds(X1,X327),topolo174197925503356063within(X0,X11,top_top(set(X0)))) <=> ! [X271 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X271) => ? [X298 : real] : (! [X65 : X0] : ((aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X65),X11))),X298) & X11 != X65) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(X0,X1,X30,X65)),X327))),X271)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X298)))))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6209_LIM__eq)).
% 58.13/9.52 tff(f89968,plain,(
% 58.13/9.52 spl5880_2250),
% 58.13/9.52 inference(avatar_split_clause,[],[f56703,f89966])).
% 58.13/9.52 tff(f89966,plain,(
% 58.13/9.52 spl5880_2250 <=> ! [X0 : $tType,X1 : set(X0)] : inj_on(X0,option(X0),some(X0),X1)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2250])])).
% 58.13/9.52 tff(f56703,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,option(X0),some(X0),X1)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f25256])).
% 58.13/9.52 tff(f25256,plain,(
% 58.13/9.52 ! [X0 : $tType,X1 : set(X0)] : inj_on(X0,option(X0),some(X0),X1)),
% 58.13/9.52 inference(rectify,[],[f6989])).
% 58.13/9.52 tff(f6989,axiom,(
% 58.13/9.52 ! [X0 : $tType,X27 : set(X0)] : inj_on(X0,option(X0),some(X0),X27)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6988_inj__Some)).
% 58.13/9.52 tff(f89964,plain,(
% 58.13/9.52 spl5880_2249),
% 58.13/9.52 inference(avatar_split_clause,[],[f54736,f89962])).
% 58.13/9.52 tff(f89962,plain,(
% 58.13/9.52 spl5880_2249 <=> ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,one_one(X0),X1) | ~comm_monoid_mult(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2249])])).
% 58.13/9.52 tff(f54736,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,one_one(X0),X1) | ~comm_monoid_mult(X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f31456])).
% 58.13/9.52 tff(f31456,plain,(
% 58.13/9.52 ! [X0 : $tType] : (! [X1 : X0] : dvd_dvd(X0,one_one(X0),X1) | ~comm_monoid_mult(X0))),
% 58.13/9.52 inference(ennf_transformation,[],[f24744])).
% 58.13/9.52 tff(f24744,plain,(
% 58.13/9.52 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : dvd_dvd(X0,one_one(X0),X1))),
% 58.13/9.52 inference(rectify,[],[f1966])).
% 58.13/9.52 tff(f1966,axiom,(
% 58.13/9.52 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0] : dvd_dvd(X0,one_one(X0),X11))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1965_one__dvd)).
% 58.13/9.52 tff(f89960,plain,(
% 58.13/9.52 spl5880_2248),
% 58.13/9.52 inference(avatar_split_clause,[],[f54593,f89958])).
% 58.13/9.52 tff(f89958,plain,(
% 58.13/9.52 spl5880_2248 <=> ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,zero_zero(X0)) | ~comm_semiring_1(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2248])])).
% 58.13/9.52 tff(f54593,plain,(
% 58.13/9.52 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,zero_zero(X0)) | ~comm_semiring_1(X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f31310])).
% 58.13/9.52 tff(f31310,plain,(
% 58.13/9.52 ! [X0 : $tType] : (! [X1 : X0] : dvd_dvd(X0,X1,zero_zero(X0)) | ~comm_semiring_1(X0))),
% 58.13/9.52 inference(ennf_transformation,[],[f24632])).
% 58.13/9.52 tff(f24632,plain,(
% 58.13/9.52 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : dvd_dvd(X0,X1,zero_zero(X0)))),
% 58.13/9.52 inference(rectify,[],[f1892])).
% 58.13/9.52 tff(f1892,axiom,(
% 58.13/9.52 ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X11 : X0] : dvd_dvd(X0,X11,zero_zero(X0)))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1891_dvd__0__right)).
% 58.13/9.52 tff(f89956,plain,(
% 58.13/9.52 spl5880_2247),
% 58.13/9.52 inference(avatar_split_clause,[],[f54482,f89954])).
% 58.13/9.52 tff(f89954,plain,(
% 58.13/9.52 spl5880_2247 <=> ! [X0 : $tType] : (one_one(X0) != zero_zero(X0) | ~zero_neq_one(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2247])])).
% 58.13/9.52 tff(f54482,plain,(
% 58.13/9.52 ( ! [X0 : $tType] : (one_one(X0) != zero_zero(X0) | ~zero_neq_one(X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f31233])).
% 58.13/9.52 tff(f31233,plain,(
% 58.13/9.52 ! [X0 : $tType] : (one_one(X0) != zero_zero(X0) | ~zero_neq_one(X0))),
% 58.13/9.52 inference(ennf_transformation,[],[f1083])).
% 58.13/9.52 tff(f1083,axiom,(
% 58.13/9.52 ! [X0 : $tType] : (zero_neq_one(X0) => one_one(X0) != zero_zero(X0))),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1082_zero__neq__one)).
% 58.13/9.52 tff(f89952,plain,(
% 58.13/9.52 spl5880_2246 | ~spl5880_545 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85242,f82408,f81168,f89949])).
% 58.13/9.52 tff(f89949,plain,(
% 58.13/9.52 spl5880_2246 <=> sP1962(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2246])])).
% 58.13/9.52 tff(f85242,plain,(
% 58.13/9.52 sP1962(real) | (~spl5880_545 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81170])).
% 58.13/9.52 tff(f89947,plain,(
% 58.13/9.52 spl5880_2245),
% 58.13/9.52 inference(avatar_split_clause,[],[f50223,f89945])).
% 58.13/9.52 tff(f50223,plain,(
% 58.13/9.52 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != X0) )),
% 58.13/9.52 inference(cnf_transformation,[],[f22754])).
% 58.13/9.52 tff(f22754,plain,(
% 58.13/9.52 ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 58.13/9.52 inference(rectify,[],[f100])).
% 58.13/9.52 tff(f100,axiom,(
% 58.13/9.52 ! [X8 : nat] : aa(nat,nat,suc,X8) != X8),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_n__not__Suc__n)).
% 58.13/9.52 tff(f89943,plain,(
% 58.13/9.52 spl5880_2244),
% 58.13/9.52 inference(avatar_split_clause,[],[f50220,f89941])).
% 58.13/9.52 tff(f89941,plain,(
% 58.13/9.52 spl5880_2244 <=> ! [X0 : num] : one2 != aa(num,num,bit0,X0)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2244])])).
% 58.13/9.52 tff(f50220,plain,(
% 58.13/9.52 ( ! [X0 : num] : (one2 != aa(num,num,bit0,X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f22751])).
% 58.13/9.52 tff(f22751,plain,(
% 58.13/9.52 ! [X0 : num] : one2 != aa(num,num,bit0,X0)),
% 58.13/9.52 inference(rectify,[],[f1655])).
% 58.13/9.52 tff(f1655,axiom,(
% 58.13/9.52 ! [X38 : num] : one2 != aa(num,num,bit0,X38)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1654_verit__eq__simplify_I10_J)).
% 58.13/9.52 tff(f89939,plain,(
% 58.13/9.52 spl5880_2243),
% 58.13/9.52 inference(avatar_split_clause,[],[f50217,f89937])).
% 58.13/9.52 tff(f89937,plain,(
% 58.13/9.52 spl5880_2243 <=> ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2243])])).
% 58.13/9.52 tff(f50217,plain,(
% 58.13/9.52 ( ! [X0 : num] : (one2 != aa(num,num,bit1,X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f22748])).
% 58.13/9.52 tff(f22748,plain,(
% 58.13/9.52 ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 58.13/9.52 inference(rectify,[],[f1658])).
% 58.13/9.52 tff(f1658,axiom,(
% 58.13/9.52 ! [X183 : num] : one2 != aa(num,num,bit1,X183)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1657_verit__eq__simplify_I12_J)).
% 58.13/9.52 tff(f89935,plain,(
% 58.13/9.52 spl5880_2242),
% 58.13/9.52 inference(avatar_split_clause,[],[f50025,f89932])).
% 58.13/9.52 tff(f89932,plain,(
% 58.13/9.52 spl5880_2242 <=> none(num) = bit_and_not_num(one2,one2)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2242])])).
% 58.13/9.52 tff(f50025,plain,(
% 58.13/9.52 none(num) = bit_and_not_num(one2,one2)),
% 58.13/9.52 inference(cnf_transformation,[],[f7386])).
% 58.13/9.52 tff(f7386,axiom,(
% 58.13/9.52 none(num) = bit_and_not_num(one2,one2)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7385_and__not__num_Osimps_I1_J)).
% 58.13/9.52 tff(f89930,plain,(
% 58.13/9.52 spl5880_2241),
% 58.13/9.52 inference(avatar_split_clause,[],[f50023,f89927])).
% 58.13/9.52 tff(f50023,plain,(
% 58.13/9.52 m = aa(nat,nat,suc,na)),
% 58.13/9.52 inference(cnf_transformation,[],[f34])).
% 58.13/9.52 tff(f34,axiom,(
% 58.13/9.52 m = aa(nat,nat,suc,na)),
% 58.13/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33__C5_Ohyps_C_I3_J)).
% 58.13/9.52 tff(f89925,plain,(
% 58.13/9.52 ~spl5880_2240 | ~spl5880_2236 | spl5880_2239),
% 58.13/9.52 inference(avatar_split_clause,[],[f89917,f89913,f89888,f89922])).
% 58.13/9.52 tff(f89922,plain,(
% 58.13/9.52 spl5880_2240 <=> iG268 = iG286),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2240])])).
% 58.13/9.52 tff(f89917,plain,(
% 58.13/9.52 iG268 != iG286 | (~spl5880_2236 | spl5880_2239)),
% 58.13/9.52 inference(forward_demodulation,[],[f89914,f89890])).
% 58.13/9.52 tff(f89916,plain,(
% 58.13/9.52 spl5880_1551 | spl5880_2239),
% 58.13/9.52 inference(avatar_split_clause,[],[f49275,f89913,f86382])).
% 58.13/9.52 tff(f49275,plain,(
% 58.13/9.52 one_one(nat) = iG268 | mi = xa),
% 58.13/9.52 inference(cnf_transformation,[],[f28140])).
% 58.13/9.52 tff(f28140,plain,(
% 58.13/9.52 (one_one(nat) = iG268 | mi = xa) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG268 | mi != xa)),
% 58.13/9.52 inference(ennf_transformation,[],[f22708])).
% 58.13/9.52 tff(f22708,plain,(
% 58.13/9.52 (mi != xa => one_one(nat) = iG268) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG268)),
% 58.13/9.52 inference(flattening,[],[f9831])).
% 58.13/9.52 tff(f9831,plain,(
% 58.13/9.52 (~mi = xa => one_one(nat) = iG268) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG268)),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG268])])).
% 58.13/9.52 tff(f89908,plain,(
% 58.13/9.52 spl5880_2238 | ~spl5880_543 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85241,f82408,f81158,f89905])).
% 58.13/9.52 tff(f89905,plain,(
% 58.13/9.52 spl5880_2238 <=> sP1962(complex)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2238])])).
% 58.13/9.52 tff(f85241,plain,(
% 58.13/9.52 sP1962(complex) | (~spl5880_543 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81160])).
% 58.13/9.52 tff(f89901,plain,(
% 58.13/9.52 spl5880_2237 | ~spl5880_1551 | ~spl5880_1554),
% 58.13/9.52 inference(avatar_split_clause,[],[f89899,f86397,f86382,f89895])).
% 58.13/9.52 tff(f89899,plain,(
% 58.13/9.52 mi = iG269 | (~spl5880_1551 | ~spl5880_1554)),
% 58.13/9.52 inference(forward_demodulation,[],[f86384,f86399])).
% 58.13/9.52 tff(f89898,plain,(
% 58.13/9.52 spl5880_2237 | ~spl5880_1551 | ~spl5880_1552 | ~spl5880_1554),
% 58.13/9.52 inference(avatar_split_clause,[],[f89893,f86397,f86386,f86382,f89895])).
% 58.13/9.52 tff(f89893,plain,(
% 58.13/9.52 mi = iG269 | (~spl5880_1551 | ~spl5880_1552 | ~spl5880_1554)),
% 58.13/9.52 inference(forward_demodulation,[],[f89892,f86401])).
% 58.13/9.52 tff(f89892,plain,(
% 58.13/9.52 mi = iG287 | (~spl5880_1551 | ~spl5880_1552)),
% 58.13/9.52 inference(forward_demodulation,[],[f86384,f86388])).
% 58.13/9.52 tff(f89891,plain,(
% 58.13/9.52 spl5880_1551 | spl5880_2236),
% 58.13/9.52 inference(avatar_split_clause,[],[f49221,f89888,f86382])).
% 58.13/9.52 tff(f49221,plain,(
% 58.13/9.52 one_one(nat) = iG286 | mi = xa),
% 58.13/9.52 inference(cnf_transformation,[],[f28121])).
% 58.13/9.52 tff(f28121,plain,(
% 58.13/9.52 (one_one(nat) = iG286 | mi = xa) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG286 | mi != xa)),
% 58.13/9.52 inference(ennf_transformation,[],[f22691])).
% 58.13/9.52 tff(f22691,plain,(
% 58.13/9.52 (mi != xa => one_one(nat) = iG286) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG286)),
% 58.13/9.52 inference(flattening,[],[f9872])).
% 58.13/9.52 tff(f9872,plain,(
% 58.13/9.52 (~mi = xa => one_one(nat) = iG286) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),vEBT_T_m_i_n_t(summary)),vEBT_T_m_i_n_t(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,aa(num,num,bit1,one2)))) = iG286)),
% 58.13/9.52 introduced(fool_ite_definition,[new_symbols(definition,[iG286])])).
% 58.13/9.52 tff(f89886,plain,(
% 58.13/9.52 spl5880_2235),
% 58.13/9.52 inference(avatar_split_clause,[],[f49113,f89884])).
% 58.13/9.52 tff(f89884,plain,(
% 58.13/9.52 spl5880_2235 <=> ! [X0 : $o] : (($true = X0) | ($true != bG340(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2235])])).
% 58.13/9.52 tff(f49113,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG340(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38673])).
% 58.13/9.52 tff(f38673,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG340(X0))) & (($true = bG340(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f10006])).
% 58.13/9.52 tff(f89882,plain,(
% 58.13/9.52 spl5880_2234),
% 58.13/9.52 inference(avatar_split_clause,[],[f49111,f89880])).
% 58.13/9.52 tff(f89880,plain,(
% 58.13/9.52 spl5880_2234 <=> ! [X0 : $o] : (($true = X0) | ($true != bG341(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2234])])).
% 58.13/9.52 tff(f49111,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG341(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38672])).
% 58.13/9.52 tff(f38672,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG341(X0))) & (($true = bG341(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f10009])).
% 58.13/9.52 tff(f89878,plain,(
% 58.13/9.52 spl5880_2233),
% 58.13/9.52 inference(avatar_split_clause,[],[f49109,f89876])).
% 58.13/9.52 tff(f89876,plain,(
% 58.13/9.52 spl5880_2233 <=> ! [X0 : $o] : (($true = X0) | ($true != bG342(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2233])])).
% 58.13/9.52 tff(f49109,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG342(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38671])).
% 58.13/9.52 tff(f38671,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG342(X0))) & (($true = bG342(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22624])).
% 58.13/9.52 tff(f22624,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG342(X0)))),
% 58.13/9.52 inference(rectify,[],[f10020])).
% 58.13/9.52 tff(f10020,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG342(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG342])])).
% 58.13/9.52 tff(f89874,plain,(
% 58.13/9.52 spl5880_2232),
% 58.13/9.52 inference(avatar_split_clause,[],[f49107,f89872])).
% 58.13/9.52 tff(f89872,plain,(
% 58.13/9.52 spl5880_2232 <=> ! [X0 : $o] : (($true = X0) | ($true != bG343(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2232])])).
% 58.13/9.52 tff(f49107,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG343(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38670])).
% 58.13/9.52 tff(f38670,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG343(X0))) & (($true = bG343(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22623])).
% 58.13/9.52 tff(f22623,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG343(X0)))),
% 58.13/9.52 inference(rectify,[],[f10021])).
% 58.13/9.52 tff(f10021,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG343(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG343])])).
% 58.13/9.52 tff(f89870,plain,(
% 58.13/9.52 spl5880_2231),
% 58.13/9.52 inference(avatar_split_clause,[],[f49105,f89868])).
% 58.13/9.52 tff(f89868,plain,(
% 58.13/9.52 spl5880_2231 <=> ! [X0 : $o] : (($true = X0) | ($true != bG344(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2231])])).
% 58.13/9.52 tff(f49105,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG344(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38669])).
% 58.13/9.52 tff(f38669,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG344(X0))) & (($true = bG344(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22622])).
% 58.13/9.52 tff(f22622,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG344(X0)))),
% 58.13/9.52 inference(rectify,[],[f10024])).
% 58.13/9.52 tff(f10024,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG344(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG344])])).
% 58.13/9.52 tff(f89866,plain,(
% 58.13/9.52 spl5880_2230),
% 58.13/9.52 inference(avatar_split_clause,[],[f49103,f89864])).
% 58.13/9.52 tff(f89864,plain,(
% 58.13/9.52 spl5880_2230 <=> ! [X0 : $o] : (($true = X0) | ($true != bG345(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2230])])).
% 58.13/9.52 tff(f49103,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG345(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38668])).
% 58.13/9.52 tff(f38668,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG345(X0))) & (($true = bG345(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22621])).
% 58.13/9.52 tff(f22621,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG345(X0)))),
% 58.13/9.52 inference(rectify,[],[f10025])).
% 58.13/9.52 tff(f10025,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG345(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG345])])).
% 58.13/9.52 tff(f89862,plain,(
% 58.13/9.52 spl5880_2229 | ~spl5880_540 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85240,f82408,f81143,f89859])).
% 58.13/9.52 tff(f89859,plain,(
% 58.13/9.52 spl5880_2229 <=> sP1962(extended_enat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2229])])).
% 58.13/9.52 tff(f85240,plain,(
% 58.13/9.52 sP1962(extended_enat) | (~spl5880_540 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81145])).
% 58.13/9.52 tff(f89857,plain,(
% 58.13/9.52 spl5880_2228),
% 58.13/9.52 inference(avatar_split_clause,[],[f49101,f89855])).
% 58.13/9.52 tff(f89855,plain,(
% 58.13/9.52 spl5880_2228 <=> ! [X0 : $o] : (($true = X0) | ($true != bG346(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2228])])).
% 58.13/9.52 tff(f49101,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG346(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38667])).
% 58.13/9.52 tff(f38667,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG346(X0))) & (($true = bG346(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22620])).
% 58.13/9.52 tff(f22620,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG346(X0)))),
% 58.13/9.52 inference(rectify,[],[f10026])).
% 58.13/9.52 tff(f10026,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG346(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG346])])).
% 58.13/9.52 tff(f89853,plain,(
% 58.13/9.52 spl5880_2227),
% 58.13/9.52 inference(avatar_split_clause,[],[f49099,f89851])).
% 58.13/9.52 tff(f89851,plain,(
% 58.13/9.52 spl5880_2227 <=> ! [X0 : $o] : (($true = X0) | ($true != bG347(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2227])])).
% 58.13/9.52 tff(f49099,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG347(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38666])).
% 58.13/9.52 tff(f38666,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG347(X0))) & (($true = bG347(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22619])).
% 58.13/9.52 tff(f22619,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG347(X0)))),
% 58.13/9.52 inference(rectify,[],[f10027])).
% 58.13/9.52 tff(f10027,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG347(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG347])])).
% 58.13/9.52 tff(f89849,plain,(
% 58.13/9.52 spl5880_2226),
% 58.13/9.52 inference(avatar_split_clause,[],[f48984,f89847])).
% 58.13/9.52 tff(f89847,plain,(
% 58.13/9.52 spl5880_2226 <=> ! [X0 : $o] : (($true = X0) | ($true != bG405(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2226])])).
% 58.13/9.52 tff(f48984,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG405(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38664])).
% 58.13/9.52 tff(f38664,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG405(X0))) & (($true = bG405(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22507])).
% 58.13/9.52 tff(f22507,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG405(X0)))),
% 58.13/9.52 inference(rectify,[],[f11089])).
% 58.13/9.52 tff(f11089,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG405(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG405])])).
% 58.13/9.52 tff(f89845,plain,(
% 58.13/9.52 spl5880_2225),
% 58.13/9.52 inference(avatar_split_clause,[],[f48978,f89843])).
% 58.13/9.52 tff(f89843,plain,(
% 58.13/9.52 spl5880_2225 <=> ! [X0 : $o] : (($true = X0) | ($true != bG408(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2225])])).
% 58.13/9.52 tff(f48978,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG408(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38662])).
% 58.13/9.52 tff(f38662,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG408(X0))) & (($true = bG408(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22503])).
% 58.13/9.52 tff(f22503,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG408(X0)))),
% 58.13/9.52 inference(rectify,[],[f11100])).
% 58.13/9.52 tff(f11100,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG408(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG408])])).
% 58.13/9.52 tff(f89841,plain,(
% 58.13/9.52 spl5880_2224),
% 58.13/9.52 inference(avatar_split_clause,[],[f48971,f89839])).
% 58.13/9.52 tff(f89839,plain,(
% 58.13/9.52 spl5880_2224 <=> ! [X0 : $o] : (($true = X0) | ($true != bG411(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2224])])).
% 58.13/9.52 tff(f48971,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG411(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38658])).
% 58.13/9.52 tff(f38658,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG411(X0))) & (($true = bG411(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22500])).
% 58.13/9.52 tff(f22500,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG411(X0)))),
% 58.13/9.52 inference(rectify,[],[f11129])).
% 58.13/9.52 tff(f11129,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG411(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG411])])).
% 58.13/9.52 tff(f89837,plain,(
% 58.13/9.52 spl5880_2223),
% 58.13/9.52 inference(avatar_split_clause,[],[f48969,f89835])).
% 58.13/9.52 tff(f89835,plain,(
% 58.13/9.52 spl5880_2223 <=> ! [X0 : $o] : (($true = X0) | ($true != bG412(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2223])])).
% 58.13/9.52 tff(f48969,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG412(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38657])).
% 58.13/9.52 tff(f38657,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG412(X0))) & (($true = bG412(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22499])).
% 58.13/9.52 tff(f22499,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG412(X0)))),
% 58.13/9.52 inference(rectify,[],[f11130])).
% 58.13/9.52 tff(f11130,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG412(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG412])])).
% 58.13/9.52 tff(f89833,plain,(
% 58.13/9.52 spl5880_2222),
% 58.13/9.52 inference(avatar_split_clause,[],[f48963,f89831])).
% 58.13/9.52 tff(f89831,plain,(
% 58.13/9.52 spl5880_2222 <=> ! [X0 : $o] : (($true = X0) | ($true != bG415(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2222])])).
% 58.13/9.52 tff(f48963,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG415(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38655])).
% 58.13/9.52 tff(f89829,plain,(
% 58.13/9.52 spl5880_2221),
% 58.13/9.52 inference(avatar_split_clause,[],[f48847,f89827])).
% 58.13/9.52 tff(f89827,plain,(
% 58.13/9.52 spl5880_2221 <=> ! [X0 : $o] : (($true = X0) | ($true != bG460(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2221])])).
% 58.13/9.52 tff(f48847,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG460(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38633])).
% 58.13/9.52 tff(f38633,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG460(X0))) & (($true = bG460(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22417])).
% 58.13/9.52 tff(f22417,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG460(X0)))),
% 58.13/9.52 inference(rectify,[],[f11362])).
% 58.13/9.52 tff(f11362,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG460(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG460])])).
% 58.13/9.52 tff(f89825,plain,(
% 58.13/9.52 spl5880_2220),
% 58.13/9.52 inference(avatar_split_clause,[],[f48818,f89823])).
% 58.13/9.52 tff(f89823,plain,(
% 58.13/9.52 spl5880_2220 <=> ! [X0 : $o] : (($true = X0) | ($true != bG474(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2220])])).
% 58.13/9.52 tff(f48818,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG474(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38628])).
% 58.13/9.52 tff(f38628,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG474(X0))) & (($true = bG474(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22393])).
% 58.13/9.52 tff(f22393,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG474(X0)))),
% 58.13/9.52 inference(rectify,[],[f11716])).
% 58.13/9.52 tff(f11716,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG474(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG474])])).
% 58.13/9.52 tff(f89821,plain,(
% 58.13/9.52 spl5880_2219),
% 58.13/9.52 inference(avatar_split_clause,[],[f48816,f89819])).
% 58.13/9.52 tff(f89819,plain,(
% 58.13/9.52 spl5880_2219 <=> ! [X0 : $o] : (($true = X0) | ($true != bG475(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2219])])).
% 58.13/9.52 tff(f48816,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG475(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38627])).
% 58.13/9.52 tff(f38627,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG475(X0))) & (($true = bG475(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22392])).
% 58.13/9.52 tff(f22392,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG475(X0)))),
% 58.13/9.52 inference(rectify,[],[f11717])).
% 58.13/9.52 tff(f11717,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG475(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG475])])).
% 58.13/9.52 tff(f89817,plain,(
% 58.13/9.52 spl5880_2218 | ~spl5880_542 | ~spl5880_810),
% 58.13/9.52 inference(avatar_split_clause,[],[f85239,f82408,f81153,f89814])).
% 58.13/9.52 tff(f89814,plain,(
% 58.13/9.52 spl5880_2218 <=> sP1962(code_integer)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2218])])).
% 58.13/9.52 tff(f85239,plain,(
% 58.13/9.52 sP1962(code_integer) | (~spl5880_542 | ~spl5880_810)),
% 58.13/9.52 inference(resolution,[],[f82409,f81155])).
% 58.13/9.52 tff(f89812,plain,(
% 58.13/9.52 spl5880_2217),
% 58.13/9.52 inference(avatar_split_clause,[],[f48800,f89810])).
% 58.13/9.52 tff(f89810,plain,(
% 58.13/9.52 spl5880_2217 <=> ! [X0 : $o] : (($true = X0) | ($true != bG483(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2217])])).
% 58.13/9.52 tff(f48800,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG483(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38624])).
% 58.13/9.52 tff(f38624,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG483(X0))) & (($true = bG483(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22379])).
% 58.13/9.52 tff(f22379,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG483(X0)))),
% 58.13/9.52 inference(rectify,[],[f12137])).
% 58.13/9.52 tff(f12137,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG483(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG483])])).
% 58.13/9.52 tff(f89808,plain,(
% 58.13/9.52 spl5880_2216),
% 58.13/9.52 inference(avatar_split_clause,[],[f48798,f89806])).
% 58.13/9.52 tff(f89806,plain,(
% 58.13/9.52 spl5880_2216 <=> ! [X0 : $o] : (($true = X0) | ($true != bG484(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2216])])).
% 58.13/9.52 tff(f48798,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG484(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38623])).
% 58.13/9.52 tff(f38623,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG484(X0))) & (($true = bG484(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22378])).
% 58.13/9.52 tff(f22378,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG484(X0)))),
% 58.13/9.52 inference(rectify,[],[f12140])).
% 58.13/9.52 tff(f12140,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG484(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG484])])).
% 58.13/9.52 tff(f89804,plain,(
% 58.13/9.52 spl5880_2215),
% 58.13/9.52 inference(avatar_split_clause,[],[f48796,f89802])).
% 58.13/9.52 tff(f89802,plain,(
% 58.13/9.52 spl5880_2215 <=> ! [X0 : $o] : (($true = X0) | ($true != bG485(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2215])])).
% 58.13/9.52 tff(f48796,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG485(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38622])).
% 58.13/9.52 tff(f38622,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG485(X0))) & (($true = bG485(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22377])).
% 58.13/9.52 tff(f22377,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG485(X0)))),
% 58.13/9.52 inference(rectify,[],[f12155])).
% 58.13/9.52 tff(f12155,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG485(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG485])])).
% 58.13/9.52 tff(f89800,plain,(
% 58.13/9.52 spl5880_2214),
% 58.13/9.52 inference(avatar_split_clause,[],[f48794,f89798])).
% 58.13/9.52 tff(f89798,plain,(
% 58.13/9.52 spl5880_2214 <=> ! [X0 : $o] : (($true = X0) | ($true != bG486(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2214])])).
% 58.13/9.52 tff(f48794,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG486(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38621])).
% 58.13/9.52 tff(f38621,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG486(X0))) & (($true = bG486(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22376])).
% 58.13/9.52 tff(f22376,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG486(X0)))),
% 58.13/9.52 inference(rectify,[],[f12158])).
% 58.13/9.52 tff(f12158,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG486(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG486])])).
% 58.13/9.52 tff(f89796,plain,(
% 58.13/9.52 spl5880_2213),
% 58.13/9.52 inference(avatar_split_clause,[],[f48789,f89794])).
% 58.13/9.52 tff(f89794,plain,(
% 58.13/9.52 spl5880_2213 <=> ! [X0 : $o] : (($true = X0) | ($true != bG488(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2213])])).
% 58.13/9.52 tff(f48789,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG488(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38618])).
% 58.13/9.52 tff(f38618,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG488(X0))) & (($true = bG488(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22374])).
% 58.13/9.52 tff(f22374,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG488(X0)))),
% 58.13/9.52 inference(rectify,[],[f12162])).
% 58.13/9.52 tff(f12162,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG488(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG488])])).
% 58.13/9.52 tff(f89792,plain,(
% 58.13/9.52 spl5880_2212),
% 58.13/9.52 inference(avatar_split_clause,[],[f48787,f89790])).
% 58.13/9.52 tff(f89790,plain,(
% 58.13/9.52 spl5880_2212 <=> ! [X0 : $o] : (($true = X0) | ($true != bG489(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2212])])).
% 58.13/9.52 tff(f48787,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG489(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38617])).
% 58.13/9.52 tff(f38617,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG489(X0))) & (($true = bG489(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22373])).
% 58.13/9.52 tff(f22373,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG489(X0)))),
% 58.13/9.52 inference(rectify,[],[f12163])).
% 58.13/9.52 tff(f12163,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG489(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG489])])).
% 58.13/9.52 tff(f89788,plain,(
% 58.13/9.52 spl5880_2211),
% 58.13/9.52 inference(avatar_split_clause,[],[f48775,f89786])).
% 58.13/9.52 tff(f89786,plain,(
% 58.13/9.52 spl5880_2211 <=> ! [X0 : $o] : (($true = bG495(X0)) | ($true = X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2211])])).
% 58.13/9.52 tff(f48775,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = bG495(X0)) | ($true = X0)) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38616])).
% 58.13/9.52 tff(f38616,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true != X0) | ($true != bG495(X0))) & (($true = bG495(X0)) | ($true = X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22364])).
% 58.13/9.52 tff(f22364,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true != X0) <=> ($true = bG495(X0)))),
% 58.13/9.52 inference(flattening,[],[f22363])).
% 58.13/9.52 tff(f22363,plain,(
% 58.13/9.52 ! [X0 : $o] : (~($true = X0) <=> ($true = bG495(X0)))),
% 58.13/9.52 inference(rectify,[],[f12289])).
% 58.13/9.52 tff(f12289,plain,(
% 58.13/9.52 ! [X1 : $o] : (~($true = X1) <=> ($true = bG495(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG495])])).
% 58.13/9.52 tff(f89784,plain,(
% 58.13/9.52 spl5880_2210),
% 58.13/9.52 inference(avatar_split_clause,[],[f48774,f89782])).
% 58.13/9.52 tff(f89782,plain,(
% 58.13/9.52 spl5880_2210 <=> ! [X0 : $o] : (($true = X0) | ($true != bG496(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2210])])).
% 58.13/9.52 tff(f48774,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG496(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38615])).
% 58.13/9.52 tff(f38615,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG496(X0))) & (($true = bG496(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22362])).
% 58.13/9.52 tff(f22362,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG496(X0)))),
% 58.13/9.52 inference(rectify,[],[f12290])).
% 58.13/9.52 tff(f12290,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG496(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG496])])).
% 58.13/9.52 tff(f89780,plain,(
% 58.13/9.52 spl5880_2209),
% 58.13/9.52 inference(avatar_split_clause,[],[f48770,f89778])).
% 58.13/9.52 tff(f89778,plain,(
% 58.13/9.52 spl5880_2209 <=> ! [X0 : $o] : (($true = X0) | ($true != bG498(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2209])])).
% 58.13/9.52 tff(f48770,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG498(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38614])).
% 58.13/9.52 tff(f38614,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG498(X0))) & (($true = bG498(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22359])).
% 58.13/9.52 tff(f22359,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG498(X0)))),
% 58.13/9.52 inference(rectify,[],[f12438])).
% 58.13/9.52 tff(f12438,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG498(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG498])])).
% 58.13/9.52 tff(f89776,plain,(
% 58.13/9.52 spl5880_2208),
% 58.13/9.52 inference(avatar_split_clause,[],[f48768,f89774])).
% 58.13/9.52 tff(f89774,plain,(
% 58.13/9.52 spl5880_2208 <=> ! [X0 : $o] : (($true = X0) | ($true != bG499(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2208])])).
% 58.13/9.52 tff(f48768,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG499(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38613])).
% 58.13/9.52 tff(f38613,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG499(X0))) & (($true = bG499(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22358])).
% 58.13/9.52 tff(f22358,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG499(X0)))),
% 58.13/9.52 inference(rectify,[],[f12439])).
% 58.13/9.52 tff(f12439,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG499(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG499])])).
% 58.13/9.52 tff(f89772,plain,(
% 58.13/9.52 spl5880_2207 | ~spl5880_452 | ~spl5880_809),
% 58.13/9.52 inference(avatar_split_clause,[],[f85238,f82404,f80703,f89769])).
% 58.13/9.52 tff(f89769,plain,(
% 58.13/9.52 spl5880_2207 <=> sP1959(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2207])])).
% 58.13/9.52 tff(f80703,plain,(
% 58.13/9.52 spl5880_452 <=> topolo4958980785337419405_space(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_452])])).
% 58.13/9.52 tff(f82404,plain,(
% 58.13/9.52 spl5880_809 <=> ! [X0 : $tType] : (sP1959(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_809])])).
% 58.13/9.52 tff(f85238,plain,(
% 58.13/9.52 sP1959(int) | (~spl5880_452 | ~spl5880_809)),
% 58.13/9.52 inference(resolution,[],[f82405,f80705])).
% 58.13/9.52 tff(f80705,plain,(
% 58.13/9.52 topolo4958980785337419405_space(int) | ~spl5880_452),
% 58.13/9.52 inference(avatar_component_clause,[],[f80703])).
% 58.13/9.52 tff(f82405,plain,(
% 58.13/9.52 ( ! [X0 : $tType] : (~topolo4958980785337419405_space(X0) | sP1959(X0)) ) | ~spl5880_809),
% 58.13/9.52 inference(avatar_component_clause,[],[f82404])).
% 58.13/9.52 tff(f89767,plain,(
% 58.13/9.52 spl5880_2206),
% 58.13/9.52 inference(avatar_split_clause,[],[f48766,f89765])).
% 58.13/9.52 tff(f89765,plain,(
% 58.13/9.52 spl5880_2206 <=> ! [X0 : $o] : (($true = X0) | ($true != bG500(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2206])])).
% 58.13/9.52 tff(f48766,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG500(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38612])).
% 58.13/9.52 tff(f38612,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG500(X0))) & (($true = bG500(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22357])).
% 58.13/9.52 tff(f22357,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG500(X0)))),
% 58.13/9.52 inference(rectify,[],[f12442])).
% 58.13/9.52 tff(f12442,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG500(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG500])])).
% 58.13/9.52 tff(f89763,plain,(
% 58.13/9.52 spl5880_2205),
% 58.13/9.52 inference(avatar_split_clause,[],[f48764,f89761])).
% 58.13/9.52 tff(f89761,plain,(
% 58.13/9.52 spl5880_2205 <=> ! [X0 : $o] : (($true = X0) | ($true != bG501(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2205])])).
% 58.13/9.52 tff(f48764,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG501(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38611])).
% 58.13/9.52 tff(f38611,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG501(X0))) & (($true = bG501(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22356])).
% 58.13/9.52 tff(f22356,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG501(X0)))),
% 58.13/9.52 inference(rectify,[],[f12443])).
% 58.13/9.52 tff(f12443,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG501(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG501])])).
% 58.13/9.52 tff(f89759,plain,(
% 58.13/9.52 spl5880_2204),
% 58.13/9.52 inference(avatar_split_clause,[],[f48762,f89757])).
% 58.13/9.52 tff(f89757,plain,(
% 58.13/9.52 spl5880_2204 <=> ! [X0 : $o] : (($true = X0) | ($true != bG502(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2204])])).
% 58.13/9.52 tff(f48762,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG502(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38610])).
% 58.13/9.52 tff(f38610,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG502(X0))) & (($true = bG502(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22355])).
% 58.13/9.52 tff(f22355,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG502(X0)))),
% 58.13/9.52 inference(rectify,[],[f12572])).
% 58.13/9.52 tff(f89755,plain,(
% 58.13/9.52 spl5880_2203),
% 58.13/9.52 inference(avatar_split_clause,[],[f48758,f89753])).
% 58.13/9.52 tff(f89753,plain,(
% 58.13/9.52 spl5880_2203 <=> ! [X0 : $o] : (($true = X0) | ($true != bG504(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2203])])).
% 58.13/9.52 tff(f48758,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG504(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38609])).
% 58.13/9.52 tff(f38609,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG504(X0))) & (($true = bG504(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22352])).
% 58.13/9.52 tff(f22352,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG504(X0)))),
% 58.13/9.52 inference(rectify,[],[f12576])).
% 58.13/9.52 tff(f89751,plain,(
% 58.13/9.52 spl5880_2202),
% 58.13/9.52 inference(avatar_split_clause,[],[f48756,f89749])).
% 58.13/9.52 tff(f89749,plain,(
% 58.13/9.52 spl5880_2202 <=> ! [X0 : $o] : (($true = X0) | ($true != bG505(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2202])])).
% 58.13/9.52 tff(f48756,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG505(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38608])).
% 58.13/9.52 tff(f89747,plain,(
% 58.13/9.52 spl5880_2201),
% 58.13/9.52 inference(avatar_split_clause,[],[f48754,f89745])).
% 58.13/9.52 tff(f89745,plain,(
% 58.13/9.52 spl5880_2201 <=> ! [X0 : $o] : (($true = X0) | ($true != bG506(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2201])])).
% 58.13/9.52 tff(f48754,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG506(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38607])).
% 58.13/9.52 tff(f38607,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG506(X0))) & (($true = bG506(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22350])).
% 58.13/9.52 tff(f22350,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG506(X0)))),
% 58.13/9.52 inference(rectify,[],[f12582])).
% 58.13/9.52 tff(f89743,plain,(
% 58.13/9.52 spl5880_2200),
% 58.13/9.52 inference(avatar_split_clause,[],[f48752,f89741])).
% 58.13/9.52 tff(f89741,plain,(
% 58.13/9.52 spl5880_2200 <=> ! [X0 : $o] : (($true = X0) | ($true != bG507(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2200])])).
% 58.13/9.52 tff(f48752,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG507(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38606])).
% 58.13/9.52 tff(f38606,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG507(X0))) & (($true = bG507(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22349])).
% 58.13/9.52 tff(f22349,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG507(X0)))),
% 58.13/9.52 inference(rectify,[],[f12583])).
% 58.13/9.52 tff(f89739,plain,(
% 58.13/9.52 spl5880_2199),
% 58.13/9.52 inference(avatar_split_clause,[],[f48750,f89737])).
% 58.13/9.52 tff(f89737,plain,(
% 58.13/9.52 spl5880_2199 <=> ! [X0 : $o] : (($true = X0) | ($true != bG508(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2199])])).
% 58.13/9.52 tff(f48750,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG508(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38605])).
% 58.13/9.52 tff(f38605,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG508(X0))) & (($true = bG508(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22348])).
% 58.13/9.52 tff(f22348,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG508(X0)))),
% 58.13/9.52 inference(rectify,[],[f12586])).
% 58.13/9.52 tff(f12586,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG508(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG508])])).
% 58.13/9.52 tff(f89735,plain,(
% 58.13/9.52 spl5880_2198),
% 58.13/9.52 inference(avatar_split_clause,[],[f48748,f89733])).
% 58.13/9.52 tff(f89733,plain,(
% 58.13/9.52 spl5880_2198 <=> ! [X0 : $o] : (($true = X0) | ($true != bG509(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2198])])).
% 58.13/9.52 tff(f48748,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG509(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38604])).
% 58.13/9.52 tff(f38604,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG509(X0))) & (($true = bG509(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22347])).
% 58.13/9.52 tff(f22347,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG509(X0)))),
% 58.13/9.52 inference(rectify,[],[f12589])).
% 58.13/9.52 tff(f12589,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG509(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG509])])).
% 58.13/9.52 tff(f89731,plain,(
% 58.13/9.52 spl5880_2197),
% 58.13/9.52 inference(avatar_split_clause,[],[f48736,f89729])).
% 58.13/9.52 tff(f89729,plain,(
% 58.13/9.52 spl5880_2197 <=> ! [X0 : $o] : (($true = X0) | ($true != bG516(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2197])])).
% 58.13/9.52 tff(f48736,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG516(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38603])).
% 58.13/9.52 tff(f38603,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG516(X0))) & (($true = bG516(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22338])).
% 58.13/9.52 tff(f22338,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG516(X0)))),
% 58.13/9.52 inference(rectify,[],[f12640])).
% 58.13/9.52 tff(f12640,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG516(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG516])])).
% 58.13/9.52 tff(f89727,plain,(
% 58.13/9.52 spl5880_2196 | ~spl5880_455 | ~spl5880_809),
% 58.13/9.52 inference(avatar_split_clause,[],[f85237,f82404,f80718,f89724])).
% 58.13/9.52 tff(f89724,plain,(
% 58.13/9.52 spl5880_2196 <=> sP1959(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2196])])).
% 58.13/9.52 tff(f80718,plain,(
% 58.13/9.52 spl5880_455 <=> topolo4958980785337419405_space(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_455])])).
% 58.13/9.52 tff(f85237,plain,(
% 58.13/9.52 sP1959(nat) | (~spl5880_455 | ~spl5880_809)),
% 58.13/9.52 inference(resolution,[],[f82405,f80720])).
% 58.13/9.52 tff(f80720,plain,(
% 58.13/9.52 topolo4958980785337419405_space(nat) | ~spl5880_455),
% 58.13/9.52 inference(avatar_component_clause,[],[f80718])).
% 58.13/9.52 tff(f89722,plain,(
% 58.13/9.52 spl5880_2195),
% 58.13/9.52 inference(avatar_split_clause,[],[f48734,f89720])).
% 58.13/9.52 tff(f89720,plain,(
% 58.13/9.52 spl5880_2195 <=> ! [X0 : $o] : (($true = X0) | ($true != bG517(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2195])])).
% 58.13/9.52 tff(f48734,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG517(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38602])).
% 58.13/9.52 tff(f38602,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG517(X0))) & (($true = bG517(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22337])).
% 58.13/9.52 tff(f22337,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG517(X0)))),
% 58.13/9.52 inference(rectify,[],[f12641])).
% 58.13/9.52 tff(f12641,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG517(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG517])])).
% 58.13/9.52 tff(f89718,plain,(
% 58.13/9.52 spl5880_2194),
% 58.13/9.52 inference(avatar_split_clause,[],[f48732,f89716])).
% 58.13/9.52 tff(f89716,plain,(
% 58.13/9.52 spl5880_2194 <=> ! [X0 : $o] : (($true = X0) | ($true != bG518(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2194])])).
% 58.13/9.52 tff(f48732,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG518(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38601])).
% 58.13/9.52 tff(f38601,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG518(X0))) & (($true = bG518(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22336])).
% 58.13/9.52 tff(f22336,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG518(X0)))),
% 58.13/9.52 inference(rectify,[],[f12642])).
% 58.13/9.52 tff(f12642,plain,(
% 58.13/9.52 ! [X3 : $o] : (($true = X3) <=> ($true = bG518(X3)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG518])])).
% 58.13/9.52 tff(f89714,plain,(
% 58.13/9.52 spl5880_2193),
% 58.13/9.52 inference(avatar_split_clause,[],[f48730,f89712])).
% 58.13/9.52 tff(f89712,plain,(
% 58.13/9.52 spl5880_2193 <=> ! [X0 : $o] : (($true = X0) | ($true != bG519(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2193])])).
% 58.13/9.52 tff(f48730,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG519(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38600])).
% 58.13/9.52 tff(f38600,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG519(X0))) & (($true = bG519(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22335])).
% 58.13/9.52 tff(f22335,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG519(X0)))),
% 58.13/9.52 inference(rectify,[],[f12643])).
% 58.13/9.52 tff(f12643,plain,(
% 58.13/9.52 ! [X4 : $o] : (($true = X4) <=> ($true = bG519(X4)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG519])])).
% 58.13/9.52 tff(f89710,plain,(
% 58.13/9.52 spl5880_2192),
% 58.13/9.52 inference(avatar_split_clause,[],[f48728,f89708])).
% 58.13/9.52 tff(f89708,plain,(
% 58.13/9.52 spl5880_2192 <=> ! [X0 : $o] : (($true = X0) | ($true != bG520(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2192])])).
% 58.13/9.52 tff(f48728,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG520(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38599])).
% 58.13/9.52 tff(f38599,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG520(X0))) & (($true = bG520(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22334])).
% 58.13/9.52 tff(f22334,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG520(X0)))),
% 58.13/9.52 inference(rectify,[],[f12644])).
% 58.13/9.52 tff(f12644,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG520(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG520])])).
% 58.13/9.52 tff(f89706,plain,(
% 58.13/9.52 spl5880_2191),
% 58.13/9.52 inference(avatar_split_clause,[],[f48726,f89704])).
% 58.13/9.52 tff(f89704,plain,(
% 58.13/9.52 spl5880_2191 <=> ! [X0 : $o] : (($true = X0) | ($true != bG521(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2191])])).
% 58.13/9.52 tff(f48726,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG521(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38598])).
% 58.13/9.52 tff(f38598,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG521(X0))) & (($true = bG521(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22333])).
% 58.13/9.52 tff(f22333,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG521(X0)))),
% 58.13/9.52 inference(rectify,[],[f12645])).
% 58.13/9.52 tff(f12645,plain,(
% 58.13/9.52 ! [X6 : $o] : (($true = X6) <=> ($true = bG521(X6)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG521])])).
% 58.13/9.52 tff(f89702,plain,(
% 58.13/9.52 spl5880_2190),
% 58.13/9.52 inference(avatar_split_clause,[],[f48724,f89700])).
% 58.13/9.52 tff(f89700,plain,(
% 58.13/9.52 spl5880_2190 <=> ! [X0 : $o] : (($true = X0) | ($true != bG522(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2190])])).
% 58.13/9.52 tff(f48724,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG522(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38597])).
% 58.13/9.52 tff(f38597,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG522(X0))) & (($true = bG522(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22332])).
% 58.13/9.52 tff(f22332,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG522(X0)))),
% 58.13/9.52 inference(rectify,[],[f12646])).
% 58.13/9.52 tff(f12646,plain,(
% 58.13/9.52 ! [X7 : $o] : (($true = X7) <=> ($true = bG522(X7)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG522])])).
% 58.13/9.52 tff(f89698,plain,(
% 58.13/9.52 spl5880_2189),
% 58.13/9.52 inference(avatar_split_clause,[],[f48722,f89696])).
% 58.13/9.52 tff(f89696,plain,(
% 58.13/9.52 spl5880_2189 <=> ! [X0 : $o] : (($true = X0) | ($true != bG523(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2189])])).
% 58.13/9.52 tff(f48722,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG523(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38596])).
% 58.13/9.52 tff(f38596,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG523(X0))) & (($true = bG523(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22331])).
% 58.13/9.52 tff(f22331,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG523(X0)))),
% 58.13/9.52 inference(rectify,[],[f12647])).
% 58.13/9.52 tff(f12647,plain,(
% 58.13/9.52 ! [X8 : $o] : (($true = X8) <=> ($true = bG523(X8)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG523])])).
% 58.13/9.52 tff(f89694,plain,(
% 58.13/9.52 spl5880_2188),
% 58.13/9.52 inference(avatar_split_clause,[],[f48720,f89692])).
% 58.13/9.52 tff(f89692,plain,(
% 58.13/9.52 spl5880_2188 <=> ! [X0 : $o] : (($true = X0) | ($true != bG524(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2188])])).
% 58.13/9.52 tff(f48720,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG524(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38595])).
% 58.13/9.52 tff(f38595,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG524(X0))) & (($true = bG524(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22330])).
% 58.13/9.52 tff(f22330,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG524(X0)))),
% 58.13/9.52 inference(rectify,[],[f12648])).
% 58.13/9.52 tff(f12648,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG524(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG524])])).
% 58.13/9.52 tff(f89690,plain,(
% 58.13/9.52 spl5880_2187),
% 58.13/9.52 inference(avatar_split_clause,[],[f48718,f89688])).
% 58.13/9.52 tff(f89688,plain,(
% 58.13/9.52 spl5880_2187 <=> ! [X0 : $o] : (($true = X0) | ($true != bG525(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2187])])).
% 58.13/9.52 tff(f48718,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG525(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38594])).
% 58.13/9.52 tff(f38594,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG525(X0))) & (($true = bG525(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22329])).
% 58.13/9.52 tff(f22329,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG525(X0)))),
% 58.13/9.52 inference(rectify,[],[f12649])).
% 58.13/9.52 tff(f12649,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG525(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG525])])).
% 58.13/9.52 tff(f89686,plain,(
% 58.13/9.52 spl5880_2186),
% 58.13/9.52 inference(avatar_split_clause,[],[f48716,f89684])).
% 58.13/9.52 tff(f89684,plain,(
% 58.13/9.52 spl5880_2186 <=> ! [X0 : $o] : (($true = X0) | ($true != bG526(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2186])])).
% 58.13/9.52 tff(f48716,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG526(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38593])).
% 58.13/9.52 tff(f38593,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG526(X0))) & (($true = bG526(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22328])).
% 58.13/9.52 tff(f22328,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG526(X0)))),
% 58.13/9.52 inference(rectify,[],[f12650])).
% 58.13/9.52 tff(f12650,plain,(
% 58.13/9.52 ! [X3 : $o] : (($true = X3) <=> ($true = bG526(X3)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG526])])).
% 58.13/9.52 tff(f89682,plain,(
% 58.13/9.52 spl5880_2185 | ~spl5880_454 | ~spl5880_809),
% 58.13/9.52 inference(avatar_split_clause,[],[f85236,f82404,f80713,f89679])).
% 58.13/9.52 tff(f89679,plain,(
% 58.13/9.52 spl5880_2185 <=> sP1959(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2185])])).
% 58.13/9.52 tff(f80713,plain,(
% 58.13/9.52 spl5880_454 <=> topolo4958980785337419405_space(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_454])])).
% 58.13/9.52 tff(f85236,plain,(
% 58.13/9.52 sP1959(real) | (~spl5880_454 | ~spl5880_809)),
% 58.13/9.52 inference(resolution,[],[f82405,f80715])).
% 58.13/9.52 tff(f80715,plain,(
% 58.13/9.52 topolo4958980785337419405_space(real) | ~spl5880_454),
% 58.13/9.52 inference(avatar_component_clause,[],[f80713])).
% 58.13/9.52 tff(f89677,plain,(
% 58.13/9.52 spl5880_2184),
% 58.13/9.52 inference(avatar_split_clause,[],[f48714,f89675])).
% 58.13/9.52 tff(f89675,plain,(
% 58.13/9.52 spl5880_2184 <=> ! [X0 : $o] : (($true = X0) | ($true != bG527(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2184])])).
% 58.13/9.52 tff(f48714,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG527(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38592])).
% 58.13/9.52 tff(f38592,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG527(X0))) & (($true = bG527(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22327])).
% 58.13/9.52 tff(f22327,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG527(X0)))),
% 58.13/9.52 inference(rectify,[],[f12651])).
% 58.13/9.52 tff(f12651,plain,(
% 58.13/9.52 ! [X4 : $o] : (($true = X4) <=> ($true = bG527(X4)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG527])])).
% 58.13/9.52 tff(f89673,plain,(
% 58.13/9.52 spl5880_2183),
% 58.13/9.52 inference(avatar_split_clause,[],[f48712,f89671])).
% 58.13/9.52 tff(f89671,plain,(
% 58.13/9.52 spl5880_2183 <=> ! [X0 : $o] : (($true = X0) | ($true != bG528(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2183])])).
% 58.13/9.52 tff(f48712,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG528(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38591])).
% 58.13/9.52 tff(f38591,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG528(X0))) & (($true = bG528(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22326])).
% 58.13/9.52 tff(f22326,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG528(X0)))),
% 58.13/9.52 inference(rectify,[],[f12652])).
% 58.13/9.52 tff(f12652,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG528(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG528])])).
% 58.13/9.52 tff(f89669,plain,(
% 58.13/9.52 spl5880_2182),
% 58.13/9.52 inference(avatar_split_clause,[],[f48710,f89667])).
% 58.13/9.52 tff(f89667,plain,(
% 58.13/9.52 spl5880_2182 <=> ! [X0 : $o] : (($true = X0) | ($true != bG529(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2182])])).
% 58.13/9.52 tff(f48710,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG529(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38590])).
% 58.13/9.52 tff(f38590,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG529(X0))) & (($true = bG529(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22325])).
% 58.13/9.52 tff(f22325,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG529(X0)))),
% 58.13/9.52 inference(rectify,[],[f12653])).
% 58.13/9.52 tff(f12653,plain,(
% 58.13/9.52 ! [X6 : $o] : (($true = X6) <=> ($true = bG529(X6)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG529])])).
% 58.13/9.52 tff(f89665,plain,(
% 58.13/9.52 spl5880_2181),
% 58.13/9.52 inference(avatar_split_clause,[],[f48708,f89663])).
% 58.13/9.52 tff(f89663,plain,(
% 58.13/9.52 spl5880_2181 <=> ! [X0 : $o] : (($true = X0) | ($true != bG530(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2181])])).
% 58.13/9.52 tff(f48708,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG530(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38589])).
% 58.13/9.52 tff(f38589,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG530(X0))) & (($true = bG530(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22324])).
% 58.13/9.52 tff(f22324,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG530(X0)))),
% 58.13/9.52 inference(rectify,[],[f12654])).
% 58.13/9.52 tff(f12654,plain,(
% 58.13/9.52 ! [X7 : $o] : (($true = X7) <=> ($true = bG530(X7)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG530])])).
% 58.13/9.52 tff(f89661,plain,(
% 58.13/9.52 spl5880_2180),
% 58.13/9.52 inference(avatar_split_clause,[],[f48706,f89659])).
% 58.13/9.52 tff(f89659,plain,(
% 58.13/9.52 spl5880_2180 <=> ! [X0 : $o] : (($true = X0) | ($true != bG531(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2180])])).
% 58.13/9.52 tff(f48706,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG531(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38588])).
% 58.13/9.52 tff(f38588,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG531(X0))) & (($true = bG531(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22323])).
% 58.13/9.52 tff(f22323,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG531(X0)))),
% 58.13/9.52 inference(rectify,[],[f12655])).
% 58.13/9.52 tff(f12655,plain,(
% 58.13/9.52 ! [X8 : $o] : (($true = X8) <=> ($true = bG531(X8)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG531])])).
% 58.13/9.52 tff(f89657,plain,(
% 58.13/9.52 spl5880_2179),
% 58.13/9.52 inference(avatar_split_clause,[],[f48672,f89655])).
% 58.13/9.52 tff(f89655,plain,(
% 58.13/9.52 spl5880_2179 <=> ! [X0 : $o] : (($true = X0) | ($true != bG549(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2179])])).
% 58.13/9.52 tff(f48672,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG549(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38587])).
% 58.13/9.52 tff(f38587,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG549(X0))) & (($true = bG549(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22292])).
% 58.13/9.52 tff(f22292,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG549(X0)))),
% 58.13/9.52 inference(rectify,[],[f12757])).
% 58.13/9.52 tff(f12757,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG549(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG549])])).
% 58.13/9.52 tff(f89653,plain,(
% 58.13/9.52 spl5880_2178),
% 58.13/9.52 inference(avatar_split_clause,[],[f48670,f89651])).
% 58.13/9.52 tff(f89651,plain,(
% 58.13/9.52 spl5880_2178 <=> ! [X0 : $o] : (($true = X0) | ($true != bG550(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2178])])).
% 58.13/9.52 tff(f48670,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG550(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38586])).
% 58.13/9.52 tff(f38586,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG550(X0))) & (($true = bG550(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22291])).
% 58.13/9.52 tff(f22291,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG550(X0)))),
% 58.13/9.52 inference(rectify,[],[f12758])).
% 58.13/9.52 tff(f12758,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG550(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG550])])).
% 58.13/9.52 tff(f89649,plain,(
% 58.13/9.52 spl5880_2177),
% 58.13/9.52 inference(avatar_split_clause,[],[f48665,f89647])).
% 58.13/9.52 tff(f89647,plain,(
% 58.13/9.52 spl5880_2177 <=> ! [X0 : $o] : (($true = X0) | ($true != bG552(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2177])])).
% 58.13/9.52 tff(f48665,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG552(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38583])).
% 58.13/9.52 tff(f38583,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG552(X0))) & (($true = bG552(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22289])).
% 58.13/9.52 tff(f22289,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG552(X0)))),
% 58.13/9.52 inference(rectify,[],[f12764])).
% 58.13/9.52 tff(f12764,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG552(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG552])])).
% 58.13/9.52 tff(f89645,plain,(
% 58.13/9.52 spl5880_2176),
% 58.13/9.52 inference(avatar_split_clause,[],[f48663,f89643])).
% 58.13/9.52 tff(f89643,plain,(
% 58.13/9.52 spl5880_2176 <=> ! [X0 : $o] : (($true = X0) | ($true != bG553(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2176])])).
% 58.13/9.52 tff(f48663,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG553(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38582])).
% 58.13/9.52 tff(f38582,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG553(X0))) & (($true = bG553(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22288])).
% 58.13/9.52 tff(f22288,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG553(X0)))),
% 58.13/9.52 inference(rectify,[],[f12765])).
% 58.13/9.52 tff(f12765,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG553(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG553])])).
% 58.13/9.52 tff(f89641,plain,(
% 58.13/9.52 spl5880_2175),
% 58.13/9.52 inference(avatar_split_clause,[],[f48639,f89639])).
% 58.13/9.52 tff(f89639,plain,(
% 58.13/9.52 spl5880_2175 <=> ! [X0 : $o] : (($true = X0) | ($true != bG565(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2175])])).
% 58.13/9.52 tff(f48639,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG565(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38581])).
% 58.13/9.52 tff(f38581,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG565(X0))) & (($true = bG565(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22265])).
% 58.13/9.52 tff(f22265,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG565(X0)))),
% 58.13/9.52 inference(rectify,[],[f13563])).
% 58.13/9.52 tff(f89637,plain,(
% 58.13/9.52 spl5880_2174 | ~spl5880_451 | ~spl5880_809),
% 58.13/9.52 inference(avatar_split_clause,[],[f85235,f82404,f80698,f89634])).
% 58.13/9.52 tff(f89634,plain,(
% 58.13/9.52 spl5880_2174 <=> sP1959(complex)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2174])])).
% 58.13/9.52 tff(f80698,plain,(
% 58.13/9.52 spl5880_451 <=> topolo4958980785337419405_space(complex)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_451])])).
% 58.13/9.52 tff(f85235,plain,(
% 58.13/9.52 sP1959(complex) | (~spl5880_451 | ~spl5880_809)),
% 58.13/9.52 inference(resolution,[],[f82405,f80700])).
% 58.13/9.52 tff(f80700,plain,(
% 58.13/9.52 topolo4958980785337419405_space(complex) | ~spl5880_451),
% 58.13/9.52 inference(avatar_component_clause,[],[f80698])).
% 58.13/9.52 tff(f89632,plain,(
% 58.13/9.52 spl5880_2173),
% 58.13/9.52 inference(avatar_split_clause,[],[f48637,f89630])).
% 58.13/9.52 tff(f89630,plain,(
% 58.13/9.52 spl5880_2173 <=> ! [X0 : $o] : (($true = X0) | ($true != bG566(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2173])])).
% 58.13/9.52 tff(f48637,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG566(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38580])).
% 58.13/9.52 tff(f38580,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG566(X0))) & (($true = bG566(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22264])).
% 58.13/9.52 tff(f22264,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG566(X0)))),
% 58.13/9.52 inference(rectify,[],[f13564])).
% 58.13/9.52 tff(f89628,plain,(
% 58.13/9.52 spl5880_2172),
% 58.13/9.52 inference(avatar_split_clause,[],[f48635,f89626])).
% 58.13/9.52 tff(f89626,plain,(
% 58.13/9.52 spl5880_2172 <=> ! [X0 : $o] : (($true = X0) | ($true != bG567(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2172])])).
% 58.13/9.52 tff(f48635,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG567(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38579])).
% 58.13/9.52 tff(f38579,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG567(X0))) & (($true = bG567(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22263])).
% 58.13/9.52 tff(f22263,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG567(X0)))),
% 58.13/9.52 inference(rectify,[],[f13591])).
% 58.13/9.52 tff(f13591,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG567(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG567])])).
% 58.13/9.52 tff(f89624,plain,(
% 58.13/9.52 spl5880_2171),
% 58.13/9.52 inference(avatar_split_clause,[],[f48633,f89622])).
% 58.13/9.52 tff(f89622,plain,(
% 58.13/9.52 spl5880_2171 <=> ! [X0 : $o] : (($true = X0) | ($true != bG568(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2171])])).
% 58.13/9.52 tff(f48633,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG568(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38578])).
% 58.13/9.52 tff(f38578,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG568(X0))) & (($true = bG568(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22262])).
% 58.13/9.52 tff(f22262,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG568(X0)))),
% 58.13/9.52 inference(rectify,[],[f13592])).
% 58.13/9.52 tff(f13592,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG568(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG568])])).
% 58.13/9.52 tff(f89620,plain,(
% 58.13/9.52 spl5880_2170),
% 58.13/9.52 inference(avatar_split_clause,[],[f48593,f89618])).
% 58.13/9.52 tff(f89618,plain,(
% 58.13/9.52 spl5880_2170 <=> ! [X0 : $o] : (($true = X0) | ($true != bG587(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2170])])).
% 58.13/9.52 tff(f48593,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG587(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38577])).
% 58.13/9.52 tff(f38577,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG587(X0))) & (($true = bG587(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22227])).
% 58.13/9.52 tff(f22227,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG587(X0)))),
% 58.13/9.52 inference(rectify,[],[f13833])).
% 58.13/9.52 tff(f13833,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG587(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG587])])).
% 58.13/9.52 tff(f89616,plain,(
% 58.13/9.52 spl5880_2169),
% 58.13/9.52 inference(avatar_split_clause,[],[f48591,f89614])).
% 58.13/9.52 tff(f89614,plain,(
% 58.13/9.52 spl5880_2169 <=> ! [X0 : $o] : (($true = X0) | ($true != bG588(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2169])])).
% 58.13/9.52 tff(f48591,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG588(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38576])).
% 58.13/9.52 tff(f38576,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG588(X0))) & (($true = bG588(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22226])).
% 58.13/9.52 tff(f22226,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG588(X0)))),
% 58.13/9.52 inference(rectify,[],[f13834])).
% 58.13/9.52 tff(f13834,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG588(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG588])])).
% 58.13/9.52 tff(f89612,plain,(
% 58.13/9.52 spl5880_2168),
% 58.13/9.52 inference(avatar_split_clause,[],[f48589,f89610])).
% 58.13/9.52 tff(f89610,plain,(
% 58.13/9.52 spl5880_2168 <=> ! [X0 : $o] : (($true = X0) | ($true != bG589(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2168])])).
% 58.13/9.52 tff(f48589,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG589(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38575])).
% 58.13/9.52 tff(f38575,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG589(X0))) & (($true = bG589(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22225])).
% 58.13/9.52 tff(f22225,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG589(X0)))),
% 58.13/9.52 inference(rectify,[],[f13837])).
% 58.13/9.52 tff(f13837,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG589(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG589])])).
% 58.13/9.52 tff(f89608,plain,(
% 58.13/9.52 spl5880_2167),
% 58.13/9.52 inference(avatar_split_clause,[],[f48587,f89606])).
% 58.13/9.52 tff(f89606,plain,(
% 58.13/9.52 spl5880_2167 <=> ! [X0 : $o] : (($true = X0) | ($true != bG590(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2167])])).
% 58.13/9.52 tff(f48587,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG590(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38574])).
% 58.13/9.52 tff(f38574,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG590(X0))) & (($true = bG590(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22224])).
% 58.13/9.52 tff(f22224,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG590(X0)))),
% 58.13/9.52 inference(rectify,[],[f13838])).
% 58.13/9.52 tff(f13838,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG590(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG590])])).
% 58.13/9.52 tff(f89604,plain,(
% 58.13/9.52 spl5880_2166),
% 58.13/9.52 inference(avatar_split_clause,[],[f48585,f89602])).
% 58.13/9.52 tff(f89602,plain,(
% 58.13/9.52 spl5880_2166 <=> ! [X0 : $o] : (($true = X0) | ($true != bG591(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2166])])).
% 58.13/9.52 tff(f48585,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG591(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38573])).
% 58.13/9.52 tff(f38573,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG591(X0))) & (($true = bG591(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22223])).
% 58.13/9.52 tff(f22223,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG591(X0)))),
% 58.13/9.52 inference(rectify,[],[f13841])).
% 58.13/9.52 tff(f13841,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG591(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG591])])).
% 58.13/9.52 tff(f89600,plain,(
% 58.13/9.52 spl5880_2165),
% 58.13/9.52 inference(avatar_split_clause,[],[f48583,f89598])).
% 58.13/9.52 tff(f89598,plain,(
% 58.13/9.52 spl5880_2165 <=> ! [X0 : $o] : (($true = X0) | ($true != bG592(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2165])])).
% 58.13/9.52 tff(f48583,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG592(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38572])).
% 58.13/9.52 tff(f38572,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG592(X0))) & (($true = bG592(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22222])).
% 58.13/9.52 tff(f22222,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG592(X0)))),
% 58.13/9.52 inference(rectify,[],[f13842])).
% 58.13/9.52 tff(f13842,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG592(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG592])])).
% 58.13/9.52 tff(f89596,plain,(
% 58.13/9.52 spl5880_2164),
% 58.13/9.52 inference(avatar_split_clause,[],[f48581,f89594])).
% 58.13/9.52 tff(f89594,plain,(
% 58.13/9.52 spl5880_2164 <=> ! [X0 : $o] : (($true = X0) | ($true != bG593(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2164])])).
% 58.13/9.52 tff(f48581,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG593(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38571])).
% 58.13/9.52 tff(f38571,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG593(X0))) & (($true = bG593(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22221])).
% 58.13/9.52 tff(f22221,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG593(X0)))),
% 58.13/9.52 inference(rectify,[],[f13843])).
% 58.13/9.52 tff(f13843,plain,(
% 58.13/9.52 ! [X3 : $o] : (($true = X3) <=> ($true = bG593(X3)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG593])])).
% 58.13/9.52 tff(f89592,plain,(
% 58.13/9.52 spl5880_2163 | ~spl5880_453 | ~spl5880_809),
% 58.13/9.52 inference(avatar_split_clause,[],[f85234,f82404,f80708,f89589])).
% 58.13/9.52 tff(f89589,plain,(
% 58.13/9.52 spl5880_2163 <=> sP1959($o)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2163])])).
% 58.13/9.52 tff(f80708,plain,(
% 58.13/9.52 spl5880_453 <=> topolo4958980785337419405_space($o)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_453])])).
% 58.13/9.52 tff(f85234,plain,(
% 58.13/9.52 sP1959($o) | (~spl5880_453 | ~spl5880_809)),
% 58.13/9.52 inference(resolution,[],[f82405,f80710])).
% 58.13/9.52 tff(f80710,plain,(
% 58.13/9.52 topolo4958980785337419405_space($o) | ~spl5880_453),
% 58.13/9.52 inference(avatar_component_clause,[],[f80708])).
% 58.13/9.52 tff(f89587,plain,(
% 58.13/9.52 spl5880_2162),
% 58.13/9.52 inference(avatar_split_clause,[],[f48579,f89585])).
% 58.13/9.52 tff(f89585,plain,(
% 58.13/9.52 spl5880_2162 <=> ! [X0 : $o] : (($true = X0) | ($true != bG594(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2162])])).
% 58.13/9.52 tff(f48579,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG594(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38570])).
% 58.13/9.52 tff(f38570,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG594(X0))) & (($true = bG594(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22220])).
% 58.13/9.52 tff(f22220,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG594(X0)))),
% 58.13/9.52 inference(rectify,[],[f13844])).
% 58.13/9.52 tff(f13844,plain,(
% 58.13/9.52 ! [X4 : $o] : (($true = X4) <=> ($true = bG594(X4)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG594])])).
% 58.13/9.52 tff(f89583,plain,(
% 58.13/9.52 spl5880_2161),
% 58.13/9.52 inference(avatar_split_clause,[],[f48577,f89581])).
% 58.13/9.52 tff(f89581,plain,(
% 58.13/9.52 spl5880_2161 <=> ! [X0 : $o] : (($true = X0) | ($true != bG595(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2161])])).
% 58.13/9.52 tff(f48577,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG595(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38569])).
% 58.13/9.52 tff(f38569,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG595(X0))) & (($true = bG595(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22219])).
% 58.13/9.52 tff(f22219,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG595(X0)))),
% 58.13/9.52 inference(rectify,[],[f13845])).
% 58.13/9.52 tff(f13845,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG595(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG595])])).
% 58.13/9.52 tff(f89579,plain,(
% 58.13/9.52 spl5880_2160),
% 58.13/9.52 inference(avatar_split_clause,[],[f48575,f89577])).
% 58.13/9.52 tff(f89577,plain,(
% 58.13/9.52 spl5880_2160 <=> ! [X0 : $o] : (($true = X0) | ($true != bG596(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2160])])).
% 58.13/9.52 tff(f48575,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG596(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38568])).
% 58.13/9.52 tff(f38568,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG596(X0))) & (($true = bG596(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22218])).
% 58.13/9.52 tff(f22218,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG596(X0)))),
% 58.13/9.52 inference(rectify,[],[f13846])).
% 58.13/9.52 tff(f13846,plain,(
% 58.13/9.52 ! [X6 : $o] : (($true = X6) <=> ($true = bG596(X6)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG596])])).
% 58.13/9.52 tff(f89575,plain,(
% 58.13/9.52 spl5880_2159),
% 58.13/9.52 inference(avatar_split_clause,[],[f48573,f89573])).
% 58.13/9.52 tff(f89573,plain,(
% 58.13/9.52 spl5880_2159 <=> ! [X0 : $o] : (($true = X0) | ($true != bG597(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2159])])).
% 58.13/9.52 tff(f48573,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG597(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38567])).
% 58.13/9.52 tff(f38567,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG597(X0))) & (($true = bG597(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22217])).
% 58.13/9.52 tff(f22217,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG597(X0)))),
% 58.13/9.52 inference(rectify,[],[f13849])).
% 58.13/9.52 tff(f13849,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG597(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG597])])).
% 58.13/9.52 tff(f89571,plain,(
% 58.13/9.52 spl5880_2158),
% 58.13/9.52 inference(avatar_split_clause,[],[f48571,f89569])).
% 58.13/9.52 tff(f89569,plain,(
% 58.13/9.52 spl5880_2158 <=> ! [X0 : $o] : (($true = X0) | ($true != bG598(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2158])])).
% 58.13/9.52 tff(f48571,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG598(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38566])).
% 58.13/9.52 tff(f38566,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG598(X0))) & (($true = bG598(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22216])).
% 58.13/9.52 tff(f22216,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG598(X0)))),
% 58.13/9.52 inference(rectify,[],[f13850])).
% 58.13/9.52 tff(f13850,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG598(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG598])])).
% 58.13/9.52 tff(f89567,plain,(
% 58.13/9.52 spl5880_2157),
% 58.13/9.52 inference(avatar_split_clause,[],[f48569,f89565])).
% 58.13/9.52 tff(f89565,plain,(
% 58.13/9.52 spl5880_2157 <=> ! [X0 : $o] : (($true = X0) | ($true != bG599(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2157])])).
% 58.13/9.52 tff(f48569,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG599(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38565])).
% 58.13/9.52 tff(f38565,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG599(X0))) & (($true = bG599(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22215])).
% 58.13/9.52 tff(f22215,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG599(X0)))),
% 58.13/9.52 inference(rectify,[],[f13851])).
% 58.13/9.52 tff(f13851,plain,(
% 58.13/9.52 ! [X3 : $o] : (($true = X3) <=> ($true = bG599(X3)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG599])])).
% 58.13/9.52 tff(f89563,plain,(
% 58.13/9.52 spl5880_2156),
% 58.13/9.52 inference(avatar_split_clause,[],[f48567,f89561])).
% 58.13/9.52 tff(f89561,plain,(
% 58.13/9.52 spl5880_2156 <=> ! [X0 : $o] : (($true = X0) | ($true != bG600(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2156])])).
% 58.13/9.52 tff(f48567,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG600(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38564])).
% 58.13/9.52 tff(f38564,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG600(X0))) & (($true = bG600(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22214])).
% 58.13/9.52 tff(f22214,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG600(X0)))),
% 58.13/9.52 inference(rectify,[],[f13852])).
% 58.13/9.52 tff(f13852,plain,(
% 58.13/9.52 ! [X4 : $o] : (($true = X4) <=> ($true = bG600(X4)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG600])])).
% 58.13/9.52 tff(f89559,plain,(
% 58.13/9.52 spl5880_2155),
% 58.13/9.52 inference(avatar_split_clause,[],[f48565,f89557])).
% 58.13/9.52 tff(f89557,plain,(
% 58.13/9.52 spl5880_2155 <=> ! [X0 : $o] : (($true = X0) | ($true != bG601(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2155])])).
% 58.13/9.52 tff(f48565,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG601(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38563])).
% 58.13/9.52 tff(f38563,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG601(X0))) & (($true = bG601(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22213])).
% 58.13/9.52 tff(f22213,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG601(X0)))),
% 58.13/9.52 inference(rectify,[],[f13853])).
% 58.13/9.52 tff(f13853,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG601(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG601])])).
% 58.13/9.52 tff(f89555,plain,(
% 58.13/9.52 spl5880_2154),
% 58.13/9.52 inference(avatar_split_clause,[],[f48563,f89553])).
% 58.13/9.52 tff(f89553,plain,(
% 58.13/9.52 spl5880_2154 <=> ! [X0 : $o] : (($true = X0) | ($true != bG602(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2154])])).
% 58.13/9.52 tff(f48563,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG602(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38562])).
% 58.13/9.52 tff(f38562,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG602(X0))) & (($true = bG602(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22212])).
% 58.13/9.52 tff(f22212,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG602(X0)))),
% 58.13/9.52 inference(rectify,[],[f13854])).
% 58.13/9.52 tff(f13854,plain,(
% 58.13/9.52 ! [X6 : $o] : (($true = X6) <=> ($true = bG602(X6)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG602])])).
% 58.13/9.52 tff(f89551,plain,(
% 58.13/9.52 spl5880_2153),
% 58.13/9.52 inference(avatar_split_clause,[],[f48561,f89549])).
% 58.13/9.52 tff(f89549,plain,(
% 58.13/9.52 spl5880_2153 <=> ! [X0 : $o] : (($true = X0) | ($true != bG603(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2153])])).
% 58.13/9.52 tff(f48561,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG603(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38561])).
% 58.13/9.52 tff(f38561,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG603(X0))) & (($true = bG603(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22211])).
% 58.13/9.52 tff(f22211,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG603(X0)))),
% 58.13/9.52 inference(rectify,[],[f13857])).
% 58.13/9.52 tff(f13857,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG603(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG603])])).
% 58.13/9.52 tff(f89547,plain,(
% 58.13/9.52 spl5880_2152 | ~spl5880_452 | ~spl5880_808),
% 58.13/9.52 inference(avatar_split_clause,[],[f85233,f82400,f80703,f89544])).
% 58.13/9.52 tff(f89544,plain,(
% 58.13/9.52 spl5880_2152 <=> sP1955(int)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2152])])).
% 58.13/9.52 tff(f82400,plain,(
% 58.13/9.52 spl5880_808 <=> ! [X0 : $tType] : (sP1955(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_808])])).
% 58.13/9.52 tff(f85233,plain,(
% 58.13/9.52 sP1955(int) | (~spl5880_452 | ~spl5880_808)),
% 58.13/9.52 inference(resolution,[],[f82401,f80705])).
% 58.13/9.52 tff(f82401,plain,(
% 58.13/9.52 ( ! [X0 : $tType] : (~topolo4958980785337419405_space(X0) | sP1955(X0)) ) | ~spl5880_808),
% 58.13/9.52 inference(avatar_component_clause,[],[f82400])).
% 58.13/9.52 tff(f89542,plain,(
% 58.13/9.52 spl5880_2151),
% 58.13/9.52 inference(avatar_split_clause,[],[f48559,f89540])).
% 58.13/9.52 tff(f89540,plain,(
% 58.13/9.52 spl5880_2151 <=> ! [X0 : $o] : (($true = X0) | ($true != bG604(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2151])])).
% 58.13/9.52 tff(f48559,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG604(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38560])).
% 58.13/9.52 tff(f38560,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG604(X0))) & (($true = bG604(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22210])).
% 58.13/9.52 tff(f22210,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG604(X0)))),
% 58.13/9.52 inference(rectify,[],[f13858])).
% 58.13/9.52 tff(f13858,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG604(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG604])])).
% 58.13/9.52 tff(f89538,plain,(
% 58.13/9.52 spl5880_2150),
% 58.13/9.52 inference(avatar_split_clause,[],[f48557,f89536])).
% 58.13/9.52 tff(f89536,plain,(
% 58.13/9.52 spl5880_2150 <=> ! [X0 : $o] : (($true = X0) | ($true != bG605(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2150])])).
% 58.13/9.52 tff(f48557,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG605(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38559])).
% 58.13/9.52 tff(f38559,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG605(X0))) & (($true = bG605(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22209])).
% 58.13/9.52 tff(f22209,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG605(X0)))),
% 58.13/9.52 inference(rectify,[],[f13859])).
% 58.13/9.52 tff(f13859,plain,(
% 58.13/9.52 ! [X3 : $o] : (($true = X3) <=> ($true = bG605(X3)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG605])])).
% 58.13/9.52 tff(f89534,plain,(
% 58.13/9.52 spl5880_2149),
% 58.13/9.52 inference(avatar_split_clause,[],[f48555,f89532])).
% 58.13/9.52 tff(f89532,plain,(
% 58.13/9.52 spl5880_2149 <=> ! [X0 : $o] : (($true = X0) | ($true != bG606(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2149])])).
% 58.13/9.52 tff(f48555,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG606(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38558])).
% 58.13/9.52 tff(f38558,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG606(X0))) & (($true = bG606(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22208])).
% 58.13/9.52 tff(f22208,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG606(X0)))),
% 58.13/9.52 inference(rectify,[],[f13860])).
% 58.13/9.52 tff(f13860,plain,(
% 58.13/9.52 ! [X4 : $o] : (($true = X4) <=> ($true = bG606(X4)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG606])])).
% 58.13/9.52 tff(f89530,plain,(
% 58.13/9.52 spl5880_2148),
% 58.13/9.52 inference(avatar_split_clause,[],[f48553,f89528])).
% 58.13/9.52 tff(f89528,plain,(
% 58.13/9.52 spl5880_2148 <=> ! [X0 : $o] : (($true = X0) | ($true != bG607(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2148])])).
% 58.13/9.52 tff(f48553,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG607(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38557])).
% 58.13/9.52 tff(f38557,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG607(X0))) & (($true = bG607(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22207])).
% 58.13/9.52 tff(f22207,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG607(X0)))),
% 58.13/9.52 inference(rectify,[],[f13863])).
% 58.13/9.52 tff(f13863,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG607(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG607])])).
% 58.13/9.52 tff(f89526,plain,(
% 58.13/9.52 spl5880_2147),
% 58.13/9.52 inference(avatar_split_clause,[],[f48551,f89524])).
% 58.13/9.52 tff(f89524,plain,(
% 58.13/9.52 spl5880_2147 <=> ! [X0 : $o] : (($true = X0) | ($true != bG608(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2147])])).
% 58.13/9.52 tff(f48551,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG608(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38556])).
% 58.13/9.52 tff(f38556,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG608(X0))) & (($true = bG608(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22206])).
% 58.13/9.52 tff(f22206,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG608(X0)))),
% 58.13/9.52 inference(rectify,[],[f13864])).
% 58.13/9.52 tff(f13864,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG608(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG608])])).
% 58.13/9.52 tff(f89522,plain,(
% 58.13/9.52 spl5880_2146),
% 58.13/9.52 inference(avatar_split_clause,[],[f48549,f89520])).
% 58.13/9.52 tff(f89520,plain,(
% 58.13/9.52 spl5880_2146 <=> ! [X0 : $o] : (($true = X0) | ($true != bG609(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2146])])).
% 58.13/9.52 tff(f48549,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG609(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38555])).
% 58.13/9.52 tff(f38555,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG609(X0))) & (($true = bG609(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22205])).
% 58.13/9.52 tff(f22205,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG609(X0)))),
% 58.13/9.52 inference(rectify,[],[f13867])).
% 58.13/9.52 tff(f13867,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG609(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG609])])).
% 58.13/9.52 tff(f89518,plain,(
% 58.13/9.52 spl5880_2145),
% 58.13/9.52 inference(avatar_split_clause,[],[f48547,f89516])).
% 58.13/9.52 tff(f89516,plain,(
% 58.13/9.52 spl5880_2145 <=> ! [X0 : $o] : (($true = X0) | ($true != bG610(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2145])])).
% 58.13/9.52 tff(f48547,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG610(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38554])).
% 58.13/9.52 tff(f38554,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG610(X0))) & (($true = bG610(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22204])).
% 58.13/9.52 tff(f22204,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG610(X0)))),
% 58.13/9.52 inference(rectify,[],[f13868])).
% 58.13/9.52 tff(f13868,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG610(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG610])])).
% 58.13/9.52 tff(f89514,plain,(
% 58.13/9.52 spl5880_2144),
% 58.13/9.52 inference(avatar_split_clause,[],[f48545,f89512])).
% 58.13/9.52 tff(f89512,plain,(
% 58.13/9.52 spl5880_2144 <=> ! [X0 : $o] : (($true = X0) | ($true != bG611(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2144])])).
% 58.13/9.52 tff(f48545,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG611(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38553])).
% 58.13/9.52 tff(f38553,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG611(X0))) & (($true = bG611(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22203])).
% 58.13/9.52 tff(f22203,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG611(X0)))),
% 58.13/9.52 inference(rectify,[],[f13871])).
% 58.13/9.52 tff(f13871,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG611(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG611])])).
% 58.13/9.52 tff(f89510,plain,(
% 58.13/9.52 spl5880_2143),
% 58.13/9.52 inference(avatar_split_clause,[],[f48543,f89508])).
% 58.13/9.52 tff(f89508,plain,(
% 58.13/9.52 spl5880_2143 <=> ! [X0 : $o] : (($true = X0) | ($true != bG612(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2143])])).
% 58.13/9.52 tff(f48543,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG612(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38552])).
% 58.13/9.52 tff(f38552,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG612(X0))) & (($true = bG612(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22202])).
% 58.13/9.52 tff(f22202,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG612(X0)))),
% 58.13/9.52 inference(rectify,[],[f13872])).
% 58.13/9.52 tff(f13872,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG612(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG612])])).
% 58.13/9.52 tff(f89506,plain,(
% 58.13/9.52 spl5880_2142),
% 58.13/9.52 inference(avatar_split_clause,[],[f48541,f89504])).
% 58.13/9.52 tff(f89504,plain,(
% 58.13/9.52 spl5880_2142 <=> ! [X0 : $o] : (($true = X0) | ($true != bG613(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2142])])).
% 58.13/9.52 tff(f48541,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG613(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38551])).
% 58.13/9.52 tff(f38551,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG613(X0))) & (($true = bG613(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22201])).
% 58.13/9.52 tff(f22201,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG613(X0)))),
% 58.13/9.52 inference(rectify,[],[f13875])).
% 58.13/9.52 tff(f13875,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG613(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG613])])).
% 58.13/9.52 tff(f89502,plain,(
% 58.13/9.52 spl5880_2141 | ~spl5880_455 | ~spl5880_808),
% 58.13/9.52 inference(avatar_split_clause,[],[f85232,f82400,f80718,f89499])).
% 58.13/9.52 tff(f89499,plain,(
% 58.13/9.52 spl5880_2141 <=> sP1955(nat)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2141])])).
% 58.13/9.52 tff(f85232,plain,(
% 58.13/9.52 sP1955(nat) | (~spl5880_455 | ~spl5880_808)),
% 58.13/9.52 inference(resolution,[],[f82401,f80720])).
% 58.13/9.52 tff(f89497,plain,(
% 58.13/9.52 spl5880_2140),
% 58.13/9.52 inference(avatar_split_clause,[],[f48539,f89495])).
% 58.13/9.52 tff(f89495,plain,(
% 58.13/9.52 spl5880_2140 <=> ! [X0 : $o] : (($true = X0) | ($true != bG614(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2140])])).
% 58.13/9.52 tff(f48539,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG614(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38550])).
% 58.13/9.52 tff(f38550,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG614(X0))) & (($true = bG614(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22200])).
% 58.13/9.52 tff(f22200,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG614(X0)))),
% 58.13/9.52 inference(rectify,[],[f13876])).
% 58.13/9.52 tff(f13876,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG614(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG614])])).
% 58.13/9.52 tff(f89493,plain,(
% 58.13/9.52 spl5880_2139),
% 58.13/9.52 inference(avatar_split_clause,[],[f48537,f89491])).
% 58.13/9.52 tff(f89491,plain,(
% 58.13/9.52 spl5880_2139 <=> ! [X0 : $o] : (($true = X0) | ($true != bG615(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2139])])).
% 58.13/9.52 tff(f48537,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG615(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38549])).
% 58.13/9.52 tff(f38549,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG615(X0))) & (($true = bG615(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22199])).
% 58.13/9.52 tff(f22199,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG615(X0)))),
% 58.13/9.52 inference(rectify,[],[f13879])).
% 58.13/9.52 tff(f13879,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG615(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG615])])).
% 58.13/9.52 tff(f89489,plain,(
% 58.13/9.52 spl5880_2138),
% 58.13/9.52 inference(avatar_split_clause,[],[f48535,f89487])).
% 58.13/9.52 tff(f89487,plain,(
% 58.13/9.52 spl5880_2138 <=> ! [X0 : $o] : (($true = X0) | ($true != bG616(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2138])])).
% 58.13/9.52 tff(f48535,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG616(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38548])).
% 58.13/9.52 tff(f38548,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG616(X0))) & (($true = bG616(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22198])).
% 58.13/9.52 tff(f22198,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG616(X0)))),
% 58.13/9.52 inference(rectify,[],[f13880])).
% 58.13/9.52 tff(f13880,plain,(
% 58.13/9.52 ! [X2 : $o] : (($true = X2) <=> ($true = bG616(X2)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG616])])).
% 58.13/9.52 tff(f89485,plain,(
% 58.13/9.52 spl5880_2137),
% 58.13/9.52 inference(avatar_split_clause,[],[f48533,f89483])).
% 58.13/9.52 tff(f89483,plain,(
% 58.13/9.52 spl5880_2137 <=> ! [X0 : $o] : (($true = X0) | ($true != bG617(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2137])])).
% 58.13/9.52 tff(f48533,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG617(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38547])).
% 58.13/9.52 tff(f38547,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG617(X0))) & (($true = bG617(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22197])).
% 58.13/9.52 tff(f22197,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG617(X0)))),
% 58.13/9.52 inference(rectify,[],[f13883])).
% 58.13/9.52 tff(f13883,plain,(
% 58.13/9.52 ! [X5 : $o] : (($true = X5) <=> ($true = bG617(X5)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG617])])).
% 58.13/9.52 tff(f89481,plain,(
% 58.13/9.52 spl5880_2136),
% 58.13/9.52 inference(avatar_split_clause,[],[f48531,f89479])).
% 58.13/9.52 tff(f89479,plain,(
% 58.13/9.52 spl5880_2136 <=> ! [X0 : $o] : (($true = X0) | ($true != bG618(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2136])])).
% 58.13/9.52 tff(f48531,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG618(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38546])).
% 58.13/9.52 tff(f38546,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG618(X0))) & (($true = bG618(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22196])).
% 58.13/9.52 tff(f22196,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG618(X0)))),
% 58.13/9.52 inference(rectify,[],[f13884])).
% 58.13/9.52 tff(f13884,plain,(
% 58.13/9.52 ! [X6 : $o] : (($true = X6) <=> ($true = bG618(X6)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG618])])).
% 58.13/9.52 tff(f89477,plain,(
% 58.13/9.52 spl5880_2135),
% 58.13/9.52 inference(avatar_split_clause,[],[f48529,f89475])).
% 58.13/9.52 tff(f89475,plain,(
% 58.13/9.52 spl5880_2135 <=> ! [X0 : $o] : (($true = X0) | ($true != bG619(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2135])])).
% 58.13/9.52 tff(f48529,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG619(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38545])).
% 58.13/9.52 tff(f38545,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG619(X0))) & (($true = bG619(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22195])).
% 58.13/9.52 tff(f22195,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG619(X0)))),
% 58.13/9.52 inference(rectify,[],[f14285])).
% 58.13/9.52 tff(f89473,plain,(
% 58.13/9.52 spl5880_2134),
% 58.13/9.52 inference(avatar_split_clause,[],[f48527,f89471])).
% 58.13/9.52 tff(f89471,plain,(
% 58.13/9.52 spl5880_2134 <=> ! [X0 : $o] : (($true = X0) | ($true != bG620(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2134])])).
% 58.13/9.52 tff(f48527,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG620(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38544])).
% 58.13/9.52 tff(f38544,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG620(X0))) & (($true = bG620(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22194])).
% 58.13/9.52 tff(f22194,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG620(X0)))),
% 58.13/9.52 inference(rectify,[],[f14286])).
% 58.13/9.52 tff(f89469,plain,(
% 58.13/9.52 spl5880_2133),
% 58.13/9.52 inference(avatar_split_clause,[],[f48525,f89467])).
% 58.13/9.52 tff(f89467,plain,(
% 58.13/9.52 spl5880_2133 <=> ! [X0 : $o] : (($true = X0) | ($true != bG621(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2133])])).
% 58.13/9.52 tff(f48525,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG621(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38543])).
% 58.13/9.52 tff(f38543,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG621(X0))) & (($true = bG621(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f14577])).
% 58.13/9.52 tff(f14577,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG621(X0)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG621])])).
% 58.13/9.52 tff(f89465,plain,(
% 58.13/9.52 spl5880_2132),
% 58.13/9.52 inference(avatar_split_clause,[],[f48523,f89463])).
% 58.13/9.52 tff(f89463,plain,(
% 58.13/9.52 spl5880_2132 <=> ! [X0 : $o] : (($true = X0) | ($true != bG622(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2132])])).
% 58.13/9.52 tff(f48523,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG622(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38542])).
% 58.13/9.52 tff(f38542,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG622(X0))) & (($true = bG622(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22193])).
% 58.13/9.52 tff(f22193,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG622(X0)))),
% 58.13/9.52 inference(rectify,[],[f14578])).
% 58.13/9.52 tff(f14578,plain,(
% 58.13/9.52 ! [X1 : $o] : (($true = X1) <=> ($true = bG622(X1)))),
% 58.13/9.52 introduced(fool_formula_definition,[new_symbols(definition,[bG622])])).
% 58.13/9.52 tff(f89461,plain,(
% 58.13/9.52 spl5880_2131),
% 58.13/9.52 inference(avatar_split_clause,[],[f48334,f89459])).
% 58.13/9.52 tff(f89459,plain,(
% 58.13/9.52 spl5880_2131 <=> ! [X0 : $o] : (($true = X0) | ($true != bG712(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2131])])).
% 58.13/9.52 tff(f48334,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG712(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38522])).
% 58.13/9.52 tff(f38522,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG712(X0))) & (($true = bG712(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f14790])).
% 58.13/9.52 tff(f89457,plain,(
% 58.13/9.52 spl5880_2130 | ~spl5880_454 | ~spl5880_808),
% 58.13/9.52 inference(avatar_split_clause,[],[f85231,f82400,f80713,f89454])).
% 58.13/9.52 tff(f89454,plain,(
% 58.13/9.52 spl5880_2130 <=> sP1955(real)),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2130])])).
% 58.13/9.52 tff(f85231,plain,(
% 58.13/9.52 sP1955(real) | (~spl5880_454 | ~spl5880_808)),
% 58.13/9.52 inference(resolution,[],[f82401,f80715])).
% 58.13/9.52 tff(f89452,plain,(
% 58.13/9.52 spl5880_2129),
% 58.13/9.52 inference(avatar_split_clause,[],[f48332,f89450])).
% 58.13/9.52 tff(f89450,plain,(
% 58.13/9.52 spl5880_2129 <=> ! [X0 : $o] : (($true = X0) | ($true != bG713(X0)))),
% 58.13/9.52 introduced(avatar_definition,[new_symbols(naming,[spl5880_2129])])).
% 58.13/9.52 tff(f48332,plain,(
% 58.13/9.52 ( ! [X0 : $o] : (($true = X0) | ($true != bG713(X0))) )),
% 58.13/9.52 inference(cnf_transformation,[],[f38521])).
% 58.13/9.52 tff(f38521,plain,(
% 58.13/9.52 ! [X0 : $o] : ((($true = X0) | ($true != bG713(X0))) & (($true = bG713(X0)) | ($true != X0)))),
% 58.13/9.52 inference(nnf_transformation,[],[f22049])).
% 58.13/9.52 tff(f22049,plain,(
% 58.13/9.52 ! [X0 : $o] : (($true = X0) <=> ($true = bG713(X0)))),
% 58.13/9.52 inference(rectify,[],[f14791])).
% 58.13/9.53 tff(f89448,plain,(
% 58.13/9.53 spl5880_2128),
% 58.13/9.53 inference(avatar_split_clause,[],[f48328,f89446])).
% 58.13/9.53 tff(f89446,plain,(
% 58.13/9.53 spl5880_2128 <=> ! [X0 : $o] : (($true = X0) | ($true != bG715(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2128])])).
% 58.13/9.53 tff(f48328,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG715(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38520])).
% 58.13/9.53 tff(f38520,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG715(X0))) & (($true = bG715(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14795])).
% 58.13/9.53 tff(f89444,plain,(
% 58.13/9.53 spl5880_2127),
% 58.13/9.53 inference(avatar_split_clause,[],[f48326,f89442])).
% 58.13/9.53 tff(f89442,plain,(
% 58.13/9.53 spl5880_2127 <=> ! [X0 : $o] : (($true = X0) | ($true != bG716(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2127])])).
% 58.13/9.53 tff(f48326,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG716(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38519])).
% 58.13/9.53 tff(f38519,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG716(X0))) & (($true = bG716(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22046])).
% 58.13/9.53 tff(f22046,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG716(X0)))),
% 58.13/9.53 inference(rectify,[],[f14796])).
% 58.13/9.53 tff(f89440,plain,(
% 58.13/9.53 spl5880_2126),
% 58.13/9.53 inference(avatar_split_clause,[],[f48322,f89438])).
% 58.13/9.53 tff(f89438,plain,(
% 58.13/9.53 spl5880_2126 <=> ! [X0 : $o] : (($true = X0) | ($true != bG718(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2126])])).
% 58.13/9.53 tff(f48322,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG718(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38518])).
% 58.13/9.53 tff(f38518,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG718(X0))) & (($true = bG718(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14800])).
% 58.13/9.53 tff(f89436,plain,(
% 58.13/9.53 spl5880_2125),
% 58.13/9.53 inference(avatar_split_clause,[],[f48320,f89434])).
% 58.13/9.53 tff(f89434,plain,(
% 58.13/9.53 spl5880_2125 <=> ! [X0 : $o] : (($true = X0) | ($true != bG719(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2125])])).
% 58.13/9.53 tff(f48320,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG719(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38517])).
% 58.13/9.53 tff(f38517,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG719(X0))) & (($true = bG719(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22043])).
% 58.13/9.53 tff(f22043,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG719(X0)))),
% 58.13/9.53 inference(rectify,[],[f14801])).
% 58.13/9.53 tff(f89432,plain,(
% 58.13/9.53 spl5880_2124),
% 58.13/9.53 inference(avatar_split_clause,[],[f48314,f89430])).
% 58.13/9.53 tff(f89430,plain,(
% 58.13/9.53 spl5880_2124 <=> ! [X0 : $o] : (($true = X0) | ($true != bG722(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2124])])).
% 58.13/9.53 tff(f48314,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG722(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38516])).
% 58.13/9.53 tff(f38516,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG722(X0))) & (($true = bG722(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14806])).
% 58.13/9.53 tff(f89428,plain,(
% 58.13/9.53 spl5880_2123),
% 58.13/9.53 inference(avatar_split_clause,[],[f48312,f89426])).
% 58.13/9.53 tff(f89426,plain,(
% 58.13/9.53 spl5880_2123 <=> ! [X0 : $o] : (($true = X0) | ($true != bG723(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2123])])).
% 58.13/9.53 tff(f48312,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG723(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38515])).
% 58.13/9.53 tff(f38515,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG723(X0))) & (($true = bG723(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22038])).
% 58.13/9.53 tff(f22038,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG723(X0)))),
% 58.13/9.53 inference(rectify,[],[f14807])).
% 58.13/9.53 tff(f89424,plain,(
% 58.13/9.53 spl5880_2122),
% 58.13/9.53 inference(avatar_split_clause,[],[f48306,f89422])).
% 58.13/9.53 tff(f89422,plain,(
% 58.13/9.53 spl5880_2122 <=> ! [X0 : $o] : (($true = X0) | ($true != bG726(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2122])])).
% 58.13/9.53 tff(f48306,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG726(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38514])).
% 58.13/9.53 tff(f38514,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG726(X0))) & (($true = bG726(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14812])).
% 58.13/9.53 tff(f89420,plain,(
% 58.13/9.53 spl5880_2121),
% 58.13/9.53 inference(avatar_split_clause,[],[f48304,f89418])).
% 58.13/9.53 tff(f89418,plain,(
% 58.13/9.53 spl5880_2121 <=> ! [X0 : $o] : (($true = X0) | ($true != bG727(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2121])])).
% 58.13/9.53 tff(f48304,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG727(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38513])).
% 58.13/9.53 tff(f38513,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG727(X0))) & (($true = bG727(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22033])).
% 58.13/9.53 tff(f22033,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG727(X0)))),
% 58.13/9.53 inference(rectify,[],[f14813])).
% 58.13/9.53 tff(f89416,plain,(
% 58.13/9.53 spl5880_2120),
% 58.13/9.53 inference(avatar_split_clause,[],[f48302,f89414])).
% 58.13/9.53 tff(f89414,plain,(
% 58.13/9.53 spl5880_2120 <=> ! [X0 : $o] : (($true = X0) | ($true != bG728(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2120])])).
% 58.13/9.53 tff(f48302,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG728(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38512])).
% 58.13/9.53 tff(f38512,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG728(X0))) & (($true = bG728(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14816])).
% 58.13/9.53 tff(f89412,plain,(
% 58.13/9.53 spl5880_2119 | ~spl5880_451 | ~spl5880_808),
% 58.13/9.53 inference(avatar_split_clause,[],[f85230,f82400,f80698,f89409])).
% 58.13/9.53 tff(f89409,plain,(
% 58.13/9.53 spl5880_2119 <=> sP1955(complex)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2119])])).
% 58.13/9.53 tff(f85230,plain,(
% 58.13/9.53 sP1955(complex) | (~spl5880_451 | ~spl5880_808)),
% 58.13/9.53 inference(resolution,[],[f82401,f80700])).
% 58.13/9.53 tff(f89407,plain,(
% 58.13/9.53 spl5880_2118),
% 58.13/9.53 inference(avatar_split_clause,[],[f48300,f89405])).
% 58.13/9.53 tff(f89405,plain,(
% 58.13/9.53 spl5880_2118 <=> ! [X0 : $o] : (($true = X0) | ($true != bG729(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2118])])).
% 58.13/9.53 tff(f48300,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG729(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38511])).
% 58.13/9.53 tff(f38511,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG729(X0))) & (($true = bG729(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22032])).
% 58.13/9.53 tff(f22032,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG729(X0)))),
% 58.13/9.53 inference(rectify,[],[f14817])).
% 58.13/9.53 tff(f89403,plain,(
% 58.13/9.53 spl5880_2117),
% 58.13/9.53 inference(avatar_split_clause,[],[f48298,f89401])).
% 58.13/9.53 tff(f89401,plain,(
% 58.13/9.53 spl5880_2117 <=> ! [X0 : $o] : (($true = X0) | ($true != bG730(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2117])])).
% 58.13/9.53 tff(f48298,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG730(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38510])).
% 58.13/9.53 tff(f38510,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG730(X0))) & (($true = bG730(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14820])).
% 58.13/9.53 tff(f89399,plain,(
% 58.13/9.53 spl5880_2116),
% 58.13/9.53 inference(avatar_split_clause,[],[f48296,f89397])).
% 58.13/9.53 tff(f89397,plain,(
% 58.13/9.53 spl5880_2116 <=> ! [X0 : $o] : (($true = X0) | ($true != bG731(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2116])])).
% 58.13/9.53 tff(f48296,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG731(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38509])).
% 58.13/9.53 tff(f38509,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG731(X0))) & (($true = bG731(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22031])).
% 58.13/9.53 tff(f22031,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG731(X0)))),
% 58.13/9.53 inference(rectify,[],[f14821])).
% 58.13/9.53 tff(f89395,plain,(
% 58.13/9.53 spl5880_2115),
% 58.13/9.53 inference(avatar_split_clause,[],[f48294,f89393])).
% 58.13/9.53 tff(f89393,plain,(
% 58.13/9.53 spl5880_2115 <=> ! [X0 : $o] : (($true = X0) | ($true != bG732(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2115])])).
% 58.13/9.53 tff(f48294,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG732(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38508])).
% 58.13/9.53 tff(f38508,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG732(X0))) & (($true = bG732(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14824])).
% 58.13/9.53 tff(f89391,plain,(
% 58.13/9.53 spl5880_2114),
% 58.13/9.53 inference(avatar_split_clause,[],[f48292,f89389])).
% 58.13/9.53 tff(f89389,plain,(
% 58.13/9.53 spl5880_2114 <=> ! [X0 : $o] : (($true = X0) | ($true != bG733(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2114])])).
% 58.13/9.53 tff(f48292,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG733(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38507])).
% 58.13/9.53 tff(f38507,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG733(X0))) & (($true = bG733(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22030])).
% 58.13/9.53 tff(f22030,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG733(X0)))),
% 58.13/9.53 inference(rectify,[],[f14825])).
% 58.13/9.53 tff(f89387,plain,(
% 58.13/9.53 spl5880_2113),
% 58.13/9.53 inference(avatar_split_clause,[],[f48290,f89385])).
% 58.13/9.53 tff(f89385,plain,(
% 58.13/9.53 spl5880_2113 <=> ! [X0 : $o] : (($true = X0) | ($true != bG734(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2113])])).
% 58.13/9.53 tff(f48290,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG734(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38506])).
% 58.13/9.53 tff(f38506,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG734(X0))) & (($true = bG734(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14828])).
% 58.13/9.53 tff(f89383,plain,(
% 58.13/9.53 spl5880_2112),
% 58.13/9.53 inference(avatar_split_clause,[],[f48288,f89381])).
% 58.13/9.53 tff(f89381,plain,(
% 58.13/9.53 spl5880_2112 <=> ! [X0 : $o] : (($true = X0) | ($true != bG735(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2112])])).
% 58.13/9.53 tff(f48288,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG735(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38505])).
% 58.13/9.53 tff(f38505,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG735(X0))) & (($true = bG735(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22029])).
% 58.13/9.53 tff(f22029,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG735(X0)))),
% 58.13/9.53 inference(rectify,[],[f14829])).
% 58.13/9.53 tff(f89379,plain,(
% 58.13/9.53 spl5880_2111),
% 58.13/9.53 inference(avatar_split_clause,[],[f48286,f89377])).
% 58.13/9.53 tff(f89377,plain,(
% 58.13/9.53 spl5880_2111 <=> ! [X0 : $o] : (($true = X0) | ($true != bG736(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2111])])).
% 58.13/9.53 tff(f48286,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG736(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38504])).
% 58.13/9.53 tff(f38504,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG736(X0))) & (($true = bG736(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14832])).
% 58.13/9.53 tff(f89375,plain,(
% 58.13/9.53 spl5880_2110),
% 58.13/9.53 inference(avatar_split_clause,[],[f48284,f89373])).
% 58.13/9.53 tff(f89373,plain,(
% 58.13/9.53 spl5880_2110 <=> ! [X0 : $o] : (($true = X0) | ($true != bG737(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2110])])).
% 58.13/9.53 tff(f48284,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG737(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38503])).
% 58.13/9.53 tff(f38503,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG737(X0))) & (($true = bG737(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22028])).
% 58.13/9.53 tff(f22028,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG737(X0)))),
% 58.13/9.53 inference(rectify,[],[f14833])).
% 58.13/9.53 tff(f89371,plain,(
% 58.13/9.53 spl5880_2109),
% 58.13/9.53 inference(avatar_split_clause,[],[f48282,f89369])).
% 58.13/9.53 tff(f89369,plain,(
% 58.13/9.53 spl5880_2109 <=> ! [X0 : $o] : (($true = X0) | ($true != bG738(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2109])])).
% 58.13/9.53 tff(f48282,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG738(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38502])).
% 58.13/9.53 tff(f38502,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG738(X0))) & (($true = bG738(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14836])).
% 58.13/9.53 tff(f89367,plain,(
% 58.13/9.53 spl5880_2108 | ~spl5880_453 | ~spl5880_808),
% 58.13/9.53 inference(avatar_split_clause,[],[f85229,f82400,f80708,f89364])).
% 58.13/9.53 tff(f89364,plain,(
% 58.13/9.53 spl5880_2108 <=> sP1955($o)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2108])])).
% 58.13/9.53 tff(f85229,plain,(
% 58.13/9.53 sP1955($o) | (~spl5880_453 | ~spl5880_808)),
% 58.13/9.53 inference(resolution,[],[f82401,f80710])).
% 58.13/9.53 tff(f89362,plain,(
% 58.13/9.53 spl5880_2107),
% 58.13/9.53 inference(avatar_split_clause,[],[f48280,f89360])).
% 58.13/9.53 tff(f89360,plain,(
% 58.13/9.53 spl5880_2107 <=> ! [X0 : $o] : (($true = X0) | ($true != bG739(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2107])])).
% 58.13/9.53 tff(f48280,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG739(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38501])).
% 58.13/9.53 tff(f38501,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG739(X0))) & (($true = bG739(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22027])).
% 58.13/9.53 tff(f22027,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG739(X0)))),
% 58.13/9.53 inference(rectify,[],[f14837])).
% 58.13/9.53 tff(f89358,plain,(
% 58.13/9.53 spl5880_2106),
% 58.13/9.53 inference(avatar_split_clause,[],[f48276,f89356])).
% 58.13/9.53 tff(f89356,plain,(
% 58.13/9.53 spl5880_2106 <=> ! [X0 : $o] : (($true = X0) | ($true != bG741(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2106])])).
% 58.13/9.53 tff(f48276,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG741(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38500])).
% 58.13/9.53 tff(f38500,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG741(X0))) & (($true = bG741(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14841])).
% 58.13/9.53 tff(f89354,plain,(
% 58.13/9.53 spl5880_2105),
% 58.13/9.53 inference(avatar_split_clause,[],[f48274,f89352])).
% 58.13/9.53 tff(f89352,plain,(
% 58.13/9.53 spl5880_2105 <=> ! [X0 : $o] : (($true = X0) | ($true != bG742(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2105])])).
% 58.13/9.53 tff(f48274,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG742(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38499])).
% 58.13/9.53 tff(f38499,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG742(X0))) & (($true = bG742(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22024])).
% 58.13/9.53 tff(f22024,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG742(X0)))),
% 58.13/9.53 inference(rectify,[],[f14842])).
% 58.13/9.53 tff(f89350,plain,(
% 58.13/9.53 spl5880_2104),
% 58.13/9.53 inference(avatar_split_clause,[],[f48272,f89348])).
% 58.13/9.53 tff(f89348,plain,(
% 58.13/9.53 spl5880_2104 <=> ! [X0 : $o] : (($true = X0) | ($true != bG743(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2104])])).
% 58.13/9.53 tff(f48272,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG743(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38498])).
% 58.13/9.53 tff(f38498,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG743(X0))) & (($true = bG743(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14845])).
% 58.13/9.53 tff(f89346,plain,(
% 58.13/9.53 spl5880_2103),
% 58.13/9.53 inference(avatar_split_clause,[],[f48270,f89344])).
% 58.13/9.53 tff(f89344,plain,(
% 58.13/9.53 spl5880_2103 <=> ! [X0 : $o] : (($true = X0) | ($true != bG744(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2103])])).
% 58.13/9.53 tff(f48270,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG744(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38497])).
% 58.13/9.53 tff(f38497,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG744(X0))) & (($true = bG744(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22023])).
% 58.13/9.53 tff(f22023,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG744(X0)))),
% 58.13/9.53 inference(rectify,[],[f14846])).
% 58.13/9.53 tff(f89342,plain,(
% 58.13/9.53 spl5880_2102),
% 58.13/9.53 inference(avatar_split_clause,[],[f48268,f89340])).
% 58.13/9.53 tff(f89340,plain,(
% 58.13/9.53 spl5880_2102 <=> ! [X0 : $o] : (($true = X0) | ($true != bG745(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2102])])).
% 58.13/9.53 tff(f48268,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG745(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38496])).
% 58.13/9.53 tff(f38496,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG745(X0))) & (($true = bG745(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14849])).
% 58.13/9.53 tff(f89338,plain,(
% 58.13/9.53 spl5880_2101),
% 58.13/9.53 inference(avatar_split_clause,[],[f48266,f89336])).
% 58.13/9.53 tff(f89336,plain,(
% 58.13/9.53 spl5880_2101 <=> ! [X0 : $o] : (($true = X0) | ($true != bG746(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2101])])).
% 58.13/9.53 tff(f48266,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG746(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38495])).
% 58.13/9.53 tff(f38495,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG746(X0))) & (($true = bG746(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22022])).
% 58.13/9.53 tff(f22022,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG746(X0)))),
% 58.13/9.53 inference(rectify,[],[f14850])).
% 58.13/9.53 tff(f89334,plain,(
% 58.13/9.53 spl5880_2100),
% 58.13/9.53 inference(avatar_split_clause,[],[f48262,f89332])).
% 58.13/9.53 tff(f89332,plain,(
% 58.13/9.53 spl5880_2100 <=> ! [X0 : $o] : (($true = X0) | ($true != bG748(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2100])])).
% 58.13/9.53 tff(f48262,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG748(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38494])).
% 58.13/9.53 tff(f38494,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG748(X0))) & (($true = bG748(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14854])).
% 58.13/9.53 tff(f89330,plain,(
% 58.13/9.53 spl5880_2099),
% 58.13/9.53 inference(avatar_split_clause,[],[f48260,f89328])).
% 58.13/9.53 tff(f89328,plain,(
% 58.13/9.53 spl5880_2099 <=> ! [X0 : $o] : (($true = X0) | ($true != bG749(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2099])])).
% 58.13/9.53 tff(f48260,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG749(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38493])).
% 58.13/9.53 tff(f38493,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG749(X0))) & (($true = bG749(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22019])).
% 58.13/9.53 tff(f22019,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG749(X0)))),
% 58.13/9.53 inference(rectify,[],[f14855])).
% 58.13/9.53 tff(f89326,plain,(
% 58.13/9.53 spl5880_2098),
% 58.13/9.53 inference(avatar_split_clause,[],[f48258,f89324])).
% 58.13/9.53 tff(f89324,plain,(
% 58.13/9.53 spl5880_2098 <=> ! [X0 : $o] : (($true = X0) | ($true != bG750(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2098])])).
% 58.13/9.53 tff(f48258,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG750(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38492])).
% 58.13/9.53 tff(f38492,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG750(X0))) & (($true = bG750(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14858])).
% 58.13/9.53 tff(f89322,plain,(
% 58.13/9.53 spl5880_2097),
% 58.13/9.53 inference(avatar_split_clause,[],[f48256,f89320])).
% 58.13/9.53 tff(f89320,plain,(
% 58.13/9.53 spl5880_2097 <=> ! [X0 : $o] : (($true = X0) | ($true != bG751(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2097])])).
% 58.13/9.53 tff(f48256,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG751(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38491])).
% 58.13/9.53 tff(f38491,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG751(X0))) & (($true = bG751(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22018])).
% 58.13/9.53 tff(f22018,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG751(X0)))),
% 58.13/9.53 inference(rectify,[],[f14859])).
% 58.13/9.53 tff(f89318,plain,(
% 58.13/9.53 spl5880_2096),
% 58.13/9.53 inference(avatar_split_clause,[],[f48254,f89316])).
% 58.13/9.53 tff(f89316,plain,(
% 58.13/9.53 spl5880_2096 <=> ! [X0 : $o] : (($true = X0) | ($true != bG752(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2096])])).
% 58.13/9.53 tff(f48254,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG752(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38490])).
% 58.13/9.53 tff(f38490,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG752(X0))) & (($true = bG752(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22017])).
% 58.13/9.53 tff(f22017,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG752(X0)))),
% 58.13/9.53 inference(rectify,[],[f14860])).
% 58.13/9.53 tff(f89314,plain,(
% 58.13/9.53 spl5880_2095),
% 58.13/9.53 inference(avatar_split_clause,[],[f48252,f89312])).
% 58.13/9.53 tff(f89312,plain,(
% 58.13/9.53 spl5880_2095 <=> ! [X0 : $o] : (($true = X0) | ($true != bG753(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2095])])).
% 58.13/9.53 tff(f48252,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG753(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38489])).
% 58.13/9.53 tff(f38489,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG753(X0))) & (($true = bG753(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14863])).
% 58.13/9.53 tff(f89310,plain,(
% 58.13/9.53 spl5880_2094),
% 58.13/9.53 inference(avatar_split_clause,[],[f48250,f89308])).
% 58.13/9.53 tff(f89308,plain,(
% 58.13/9.53 spl5880_2094 <=> ! [X0 : $o] : (($true = X0) | ($true != bG754(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2094])])).
% 58.13/9.53 tff(f48250,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG754(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38488])).
% 58.13/9.53 tff(f38488,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG754(X0))) & (($true = bG754(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22016])).
% 58.13/9.53 tff(f22016,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG754(X0)))),
% 58.13/9.53 inference(rectify,[],[f14864])).
% 58.13/9.53 tff(f89306,plain,(
% 58.13/9.53 spl5880_2093),
% 58.13/9.53 inference(avatar_split_clause,[],[f48248,f89304])).
% 58.13/9.53 tff(f89304,plain,(
% 58.13/9.53 spl5880_2093 <=> ! [X0 : $o] : (($true = X0) | ($true != bG755(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2093])])).
% 58.13/9.53 tff(f48248,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG755(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38487])).
% 58.13/9.53 tff(f38487,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG755(X0))) & (($true = bG755(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14865])).
% 58.13/9.53 tff(f89302,plain,(
% 58.13/9.53 spl5880_2092),
% 58.13/9.53 inference(avatar_split_clause,[],[f48246,f89300])).
% 58.13/9.53 tff(f89300,plain,(
% 58.13/9.53 spl5880_2092 <=> ! [X0 : $o] : (($true = X0) | ($true != bG756(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2092])])).
% 58.13/9.53 tff(f48246,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG756(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38486])).
% 58.13/9.53 tff(f38486,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG756(X0))) & (($true = bG756(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14868])).
% 58.13/9.53 tff(f89298,plain,(
% 58.13/9.53 spl5880_2091),
% 58.13/9.53 inference(avatar_split_clause,[],[f48244,f89296])).
% 58.13/9.53 tff(f89296,plain,(
% 58.13/9.53 spl5880_2091 <=> ! [X0 : $o] : (($true = X0) | ($true != bG757(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2091])])).
% 58.13/9.53 tff(f48244,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG757(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38485])).
% 58.13/9.53 tff(f38485,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG757(X0))) & (($true = bG757(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22015])).
% 58.13/9.53 tff(f22015,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG757(X0)))),
% 58.13/9.53 inference(rectify,[],[f14869])).
% 58.13/9.53 tff(f89294,plain,(
% 58.13/9.53 spl5880_2090),
% 58.13/9.53 inference(avatar_split_clause,[],[f48242,f89292])).
% 58.13/9.53 tff(f89292,plain,(
% 58.13/9.53 spl5880_2090 <=> ! [X0 : $o] : (($true = X0) | ($true != bG758(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2090])])).
% 58.13/9.53 tff(f48242,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG758(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38484])).
% 58.13/9.53 tff(f38484,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG758(X0))) & (($true = bG758(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14872])).
% 58.13/9.53 tff(f89290,plain,(
% 58.13/9.53 spl5880_2089),
% 58.13/9.53 inference(avatar_split_clause,[],[f48240,f89288])).
% 58.13/9.53 tff(f89288,plain,(
% 58.13/9.53 spl5880_2089 <=> ! [X0 : $o] : (($true = X0) | ($true != bG759(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2089])])).
% 58.13/9.53 tff(f48240,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG759(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38483])).
% 58.13/9.53 tff(f38483,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG759(X0))) & (($true = bG759(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22014])).
% 58.13/9.53 tff(f22014,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG759(X0)))),
% 58.13/9.53 inference(rectify,[],[f14873])).
% 58.13/9.53 tff(f89286,plain,(
% 58.13/9.53 spl5880_2088),
% 58.13/9.53 inference(avatar_split_clause,[],[f48238,f89284])).
% 58.13/9.53 tff(f89284,plain,(
% 58.13/9.53 spl5880_2088 <=> ! [X0 : $o] : (($true = X0) | ($true != bG760(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2088])])).
% 58.13/9.53 tff(f48238,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG760(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38482])).
% 58.13/9.53 tff(f38482,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG760(X0))) & (($true = bG760(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14876])).
% 58.13/9.53 tff(f89282,plain,(
% 58.13/9.53 spl5880_2087 | ~spl5880_452 | ~spl5880_807),
% 58.13/9.53 inference(avatar_split_clause,[],[f85223,f82396,f80703,f89279])).
% 58.13/9.53 tff(f89279,plain,(
% 58.13/9.53 spl5880_2087 <=> sP1953(int)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2087])])).
% 58.13/9.53 tff(f82396,plain,(
% 58.13/9.53 spl5880_807 <=> ! [X0 : $tType] : (sP1953(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_807])])).
% 58.13/9.53 tff(f85223,plain,(
% 58.13/9.53 sP1953(int) | (~spl5880_452 | ~spl5880_807)),
% 58.13/9.53 inference(resolution,[],[f82397,f80705])).
% 58.13/9.53 tff(f82397,plain,(
% 58.13/9.53 ( ! [X0 : $tType] : (~topolo4958980785337419405_space(X0) | sP1953(X0)) ) | ~spl5880_807),
% 58.13/9.53 inference(avatar_component_clause,[],[f82396])).
% 58.13/9.53 tff(f89277,plain,(
% 58.13/9.53 spl5880_2086),
% 58.13/9.53 inference(avatar_split_clause,[],[f48236,f89275])).
% 58.13/9.53 tff(f89275,plain,(
% 58.13/9.53 spl5880_2086 <=> ! [X0 : $o] : (($true = X0) | ($true != bG761(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2086])])).
% 58.13/9.53 tff(f48236,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG761(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38481])).
% 58.13/9.53 tff(f38481,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG761(X0))) & (($true = bG761(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22013])).
% 58.13/9.53 tff(f22013,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG761(X0)))),
% 58.13/9.53 inference(rectify,[],[f14877])).
% 58.13/9.53 tff(f89273,plain,(
% 58.13/9.53 spl5880_2085),
% 58.13/9.53 inference(avatar_split_clause,[],[f48234,f89271])).
% 58.13/9.53 tff(f89271,plain,(
% 58.13/9.53 spl5880_2085 <=> ! [X0 : $o] : (($true = X0) | ($true != bG762(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2085])])).
% 58.13/9.53 tff(f48234,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG762(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38480])).
% 58.13/9.53 tff(f38480,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG762(X0))) & (($true = bG762(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f14880])).
% 58.13/9.53 tff(f89269,plain,(
% 58.13/9.53 spl5880_2084),
% 58.13/9.53 inference(avatar_split_clause,[],[f48232,f89267])).
% 58.13/9.53 tff(f89267,plain,(
% 58.13/9.53 spl5880_2084 <=> ! [X0 : $o] : (($true = X0) | ($true != bG763(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2084])])).
% 58.13/9.53 tff(f48232,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG763(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38479])).
% 58.13/9.53 tff(f38479,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG763(X0))) & (($true = bG763(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f22012])).
% 58.13/9.53 tff(f22012,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG763(X0)))),
% 58.13/9.53 inference(rectify,[],[f14881])).
% 58.13/9.53 tff(f89265,plain,(
% 58.13/9.53 spl5880_2083),
% 58.13/9.53 inference(avatar_split_clause,[],[f48182,f89263])).
% 58.13/9.53 tff(f89263,plain,(
% 58.13/9.53 spl5880_2083 <=> ! [X0 : $o] : (($true = X0) | ($true != bG788(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2083])])).
% 58.13/9.53 tff(f48182,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG788(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38478])).
% 58.13/9.53 tff(f38478,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG788(X0))) & (($true = bG788(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21963])).
% 58.13/9.53 tff(f21963,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG788(X0)))),
% 58.13/9.53 inference(rectify,[],[f15300])).
% 58.13/9.53 tff(f89261,plain,(
% 58.13/9.53 spl5880_2082),
% 58.13/9.53 inference(avatar_split_clause,[],[f48180,f89259])).
% 58.13/9.53 tff(f89259,plain,(
% 58.13/9.53 spl5880_2082 <=> ! [X0 : $o] : (($true = X0) | ($true != bG789(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2082])])).
% 58.13/9.53 tff(f48180,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG789(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38477])).
% 58.13/9.53 tff(f38477,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG789(X0))) & (($true = bG789(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21962])).
% 58.13/9.53 tff(f21962,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG789(X0)))),
% 58.13/9.53 inference(rectify,[],[f15301])).
% 58.13/9.53 tff(f89257,plain,(
% 58.13/9.53 spl5880_2081),
% 58.13/9.53 inference(avatar_split_clause,[],[f48172,f89255])).
% 58.13/9.53 tff(f89255,plain,(
% 58.13/9.53 spl5880_2081 <=> ! [X0 : $o] : (($true = X0) | ($true != bG793(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2081])])).
% 58.13/9.53 tff(f48172,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG793(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38469])).
% 58.13/9.53 tff(f38469,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG793(X0))) & (($true = bG793(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21958])).
% 58.13/9.53 tff(f21958,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG793(X0)))),
% 58.13/9.53 inference(rectify,[],[f15307])).
% 58.13/9.53 tff(f15307,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG793(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG793])])).
% 58.13/9.53 tff(f89253,plain,(
% 58.13/9.53 spl5880_2080),
% 58.13/9.53 inference(avatar_split_clause,[],[f48170,f89251])).
% 58.13/9.53 tff(f89251,plain,(
% 58.13/9.53 spl5880_2080 <=> ! [X0 : $o] : (($true = X0) | ($true != bG794(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2080])])).
% 58.13/9.53 tff(f48170,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG794(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38468])).
% 58.13/9.53 tff(f38468,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG794(X0))) & (($true = bG794(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21957])).
% 58.13/9.53 tff(f21957,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG794(X0)))),
% 58.13/9.53 inference(rectify,[],[f15308])).
% 58.13/9.53 tff(f15308,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG794(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG794])])).
% 58.13/9.53 tff(f89249,plain,(
% 58.13/9.53 spl5880_2079),
% 58.13/9.53 inference(avatar_split_clause,[],[f48168,f89247])).
% 58.13/9.53 tff(f89247,plain,(
% 58.13/9.53 spl5880_2079 <=> ! [X0 : $o] : (($true = X0) | ($true != bG795(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2079])])).
% 58.13/9.53 tff(f48168,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG795(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38467])).
% 58.13/9.53 tff(f38467,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG795(X0))) & (($true = bG795(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21956])).
% 58.13/9.53 tff(f21956,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG795(X0)))),
% 58.13/9.53 inference(rectify,[],[f15309])).
% 58.13/9.53 tff(f15309,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG795(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG795])])).
% 58.13/9.53 tff(f89245,plain,(
% 58.13/9.53 spl5880_2078),
% 58.13/9.53 inference(avatar_split_clause,[],[f48166,f89243])).
% 58.13/9.53 tff(f89243,plain,(
% 58.13/9.53 spl5880_2078 <=> ! [X0 : $o] : (($true = X0) | ($true != bG796(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2078])])).
% 58.13/9.53 tff(f48166,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG796(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38466])).
% 58.13/9.53 tff(f38466,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG796(X0))) & (($true = bG796(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21955])).
% 58.13/9.53 tff(f21955,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG796(X0)))),
% 58.13/9.53 inference(rectify,[],[f15310])).
% 58.13/9.53 tff(f15310,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG796(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG796])])).
% 58.13/9.53 tff(f89241,plain,(
% 58.13/9.53 spl5880_2077),
% 58.13/9.53 inference(avatar_split_clause,[],[f48158,f89239])).
% 58.13/9.53 tff(f89239,plain,(
% 58.13/9.53 spl5880_2077 <=> ! [X0 : $o] : (($true = X0) | ($true != bG800(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2077])])).
% 58.13/9.53 tff(f48158,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG800(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38458])).
% 58.13/9.53 tff(f38458,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG800(X0))) & (($true = bG800(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21951])).
% 58.13/9.53 tff(f21951,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG800(X0)))),
% 58.13/9.53 inference(rectify,[],[f15316])).
% 58.13/9.53 tff(f15316,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG800(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG800])])).
% 58.13/9.53 tff(f89237,plain,(
% 58.13/9.53 spl5880_2076 | ~spl5880_455 | ~spl5880_807),
% 58.13/9.53 inference(avatar_split_clause,[],[f85222,f82396,f80718,f89234])).
% 58.13/9.53 tff(f89234,plain,(
% 58.13/9.53 spl5880_2076 <=> sP1953(nat)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2076])])).
% 58.13/9.53 tff(f85222,plain,(
% 58.13/9.53 sP1953(nat) | (~spl5880_455 | ~spl5880_807)),
% 58.13/9.53 inference(resolution,[],[f82397,f80720])).
% 58.13/9.53 tff(f89232,plain,(
% 58.13/9.53 spl5880_2075),
% 58.13/9.53 inference(avatar_split_clause,[],[f48156,f89230])).
% 58.13/9.53 tff(f89230,plain,(
% 58.13/9.53 spl5880_2075 <=> ! [X0 : $o] : (($true = X0) | ($true != bG801(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2075])])).
% 58.13/9.53 tff(f48156,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG801(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38457])).
% 58.13/9.53 tff(f38457,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG801(X0))) & (($true = bG801(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21950])).
% 58.13/9.53 tff(f21950,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG801(X0)))),
% 58.13/9.53 inference(rectify,[],[f15317])).
% 58.13/9.53 tff(f15317,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG801(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG801])])).
% 58.13/9.53 tff(f89228,plain,(
% 58.13/9.53 spl5880_2074),
% 58.13/9.53 inference(avatar_split_clause,[],[f48143,f89226])).
% 58.13/9.53 tff(f89226,plain,(
% 58.13/9.53 spl5880_2074 <=> ! [X0 : $o] : (($true = X0) | ($true != bG806(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2074])])).
% 58.13/9.53 tff(f48143,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG806(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38453])).
% 58.13/9.53 tff(f38453,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG806(X0))) & (($true = bG806(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21940])).
% 58.13/9.53 tff(f21940,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG806(X0)))),
% 58.13/9.53 inference(rectify,[],[f15324])).
% 58.13/9.53 tff(f15324,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG806(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG806])])).
% 58.13/9.53 tff(f89224,plain,(
% 58.13/9.53 spl5880_2073),
% 58.13/9.53 inference(avatar_split_clause,[],[f48141,f89222])).
% 58.13/9.53 tff(f89222,plain,(
% 58.13/9.53 spl5880_2073 <=> ! [X0 : $o] : (($true = X0) | ($true != bG807(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2073])])).
% 58.13/9.53 tff(f48141,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG807(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38452])).
% 58.13/9.53 tff(f38452,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG807(X0))) & (($true = bG807(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21939])).
% 58.13/9.53 tff(f21939,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG807(X0)))),
% 58.13/9.53 inference(rectify,[],[f15325])).
% 58.13/9.53 tff(f15325,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG807(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG807])])).
% 58.13/9.53 tff(f89220,plain,(
% 58.13/9.53 spl5880_2072),
% 58.13/9.53 inference(avatar_split_clause,[],[f48139,f89218])).
% 58.13/9.53 tff(f89218,plain,(
% 58.13/9.53 spl5880_2072 <=> ! [X0 : $o] : (($true = X0) | ($true != bG808(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2072])])).
% 58.13/9.53 tff(f48139,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG808(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38451])).
% 58.13/9.53 tff(f38451,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG808(X0))) & (($true = bG808(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21938])).
% 58.13/9.53 tff(f21938,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG808(X0)))),
% 58.13/9.53 inference(rectify,[],[f15326])).
% 58.13/9.53 tff(f15326,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG808(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG808])])).
% 58.13/9.53 tff(f89216,plain,(
% 58.13/9.53 spl5880_2071),
% 58.13/9.53 inference(avatar_split_clause,[],[f48137,f89214])).
% 58.13/9.53 tff(f89214,plain,(
% 58.13/9.53 spl5880_2071 <=> ! [X0 : $o] : (($true = X0) | ($true != bG809(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2071])])).
% 58.13/9.53 tff(f48137,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG809(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38450])).
% 58.13/9.53 tff(f38450,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG809(X0))) & (($true = bG809(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21937])).
% 58.13/9.53 tff(f21937,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG809(X0)))),
% 58.13/9.53 inference(rectify,[],[f15327])).
% 58.13/9.53 tff(f15327,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG809(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG809])])).
% 58.13/9.53 tff(f89212,plain,(
% 58.13/9.53 spl5880_2070),
% 58.13/9.53 inference(avatar_split_clause,[],[f48124,f89210])).
% 58.13/9.53 tff(f89210,plain,(
% 58.13/9.53 spl5880_2070 <=> ! [X0 : $o] : (($true = X0) | ($true != bG814(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2070])])).
% 58.13/9.53 tff(f48124,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG814(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38446])).
% 58.13/9.53 tff(f38446,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG814(X0))) & (($true = bG814(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21927])).
% 58.13/9.53 tff(f21927,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG814(X0)))),
% 58.13/9.53 inference(rectify,[],[f15334])).
% 58.13/9.53 tff(f15334,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG814(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG814])])).
% 58.13/9.53 tff(f89208,plain,(
% 58.13/9.53 spl5880_2069),
% 58.13/9.53 inference(avatar_split_clause,[],[f48122,f89206])).
% 58.13/9.53 tff(f89206,plain,(
% 58.13/9.53 spl5880_2069 <=> ! [X0 : $o] : (($true = X0) | ($true != bG815(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2069])])).
% 58.13/9.53 tff(f48122,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG815(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38445])).
% 58.13/9.53 tff(f38445,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG815(X0))) & (($true = bG815(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21926])).
% 58.13/9.53 tff(f21926,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG815(X0)))),
% 58.13/9.53 inference(rectify,[],[f15335])).
% 58.13/9.53 tff(f15335,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG815(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG815])])).
% 58.13/9.53 tff(f89204,plain,(
% 58.13/9.53 spl5880_2068),
% 58.13/9.53 inference(avatar_split_clause,[],[f48112,f89202])).
% 58.13/9.53 tff(f89202,plain,(
% 58.13/9.53 spl5880_2068 <=> ! [X0 : $o] : (($true = X0) | ($true != bG820(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2068])])).
% 58.13/9.53 tff(f48112,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG820(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38442])).
% 58.13/9.53 tff(f38442,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG820(X0))) & (($true = bG820(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21917])).
% 58.13/9.53 tff(f21917,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG820(X0)))),
% 58.13/9.53 inference(rectify,[],[f15342])).
% 58.13/9.53 tff(f15342,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG820(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG820])])).
% 58.13/9.53 tff(f89200,plain,(
% 58.13/9.53 spl5880_2067),
% 58.13/9.53 inference(avatar_split_clause,[],[f48110,f89198])).
% 58.13/9.53 tff(f89198,plain,(
% 58.13/9.53 spl5880_2067 <=> ! [X0 : $o] : (($true = X0) | ($true != bG821(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2067])])).
% 58.13/9.53 tff(f48110,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG821(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38441])).
% 58.13/9.53 tff(f38441,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG821(X0))) & (($true = bG821(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21916])).
% 58.13/9.53 tff(f21916,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG821(X0)))),
% 58.13/9.53 inference(rectify,[],[f15343])).
% 58.13/9.53 tff(f15343,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG821(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG821])])).
% 58.13/9.53 tff(f89196,plain,(
% 58.13/9.53 spl5880_2066),
% 58.13/9.53 inference(avatar_split_clause,[],[f48108,f89194])).
% 58.13/9.53 tff(f89194,plain,(
% 58.13/9.53 spl5880_2066 <=> ! [X0 : $o] : (($true = X0) | ($true != bG822(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2066])])).
% 58.13/9.53 tff(f48108,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG822(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38440])).
% 58.13/9.53 tff(f38440,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG822(X0))) & (($true = bG822(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21915])).
% 58.13/9.53 tff(f21915,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG822(X0)))),
% 58.13/9.53 inference(rectify,[],[f15344])).
% 58.13/9.53 tff(f15344,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG822(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG822])])).
% 58.13/9.53 tff(f89192,plain,(
% 58.13/9.53 spl5880_2065 | ~spl5880_454 | ~spl5880_807),
% 58.13/9.53 inference(avatar_split_clause,[],[f85221,f82396,f80713,f89189])).
% 58.13/9.53 tff(f89189,plain,(
% 58.13/9.53 spl5880_2065 <=> sP1953(real)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2065])])).
% 58.13/9.53 tff(f85221,plain,(
% 58.13/9.53 sP1953(real) | (~spl5880_454 | ~spl5880_807)),
% 58.13/9.53 inference(resolution,[],[f82397,f80715])).
% 58.13/9.53 tff(f89187,plain,(
% 58.13/9.53 spl5880_2064),
% 58.13/9.53 inference(avatar_split_clause,[],[f48106,f89185])).
% 58.13/9.53 tff(f89185,plain,(
% 58.13/9.53 spl5880_2064 <=> ! [X0 : $o] : (($true = X0) | ($true != bG823(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2064])])).
% 58.13/9.53 tff(f48106,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG823(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38439])).
% 58.13/9.53 tff(f38439,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG823(X0))) & (($true = bG823(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21914])).
% 58.13/9.53 tff(f21914,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG823(X0)))),
% 58.13/9.53 inference(rectify,[],[f15345])).
% 58.13/9.53 tff(f15345,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG823(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG823])])).
% 58.13/9.53 tff(f89183,plain,(
% 58.13/9.53 spl5880_2063),
% 58.13/9.53 inference(avatar_split_clause,[],[f48096,f89181])).
% 58.13/9.53 tff(f89181,plain,(
% 58.13/9.53 spl5880_2063 <=> ! [X0 : $o] : (($true = X0) | ($true != bG828(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2063])])).
% 58.13/9.53 tff(f48096,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG828(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38436])).
% 58.13/9.53 tff(f38436,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG828(X0))) & (($true = bG828(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21905])).
% 58.13/9.53 tff(f21905,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG828(X0)))),
% 58.13/9.53 inference(rectify,[],[f15366])).
% 58.13/9.53 tff(f89179,plain,(
% 58.13/9.53 spl5880_2062),
% 58.13/9.53 inference(avatar_split_clause,[],[f48094,f89177])).
% 58.13/9.53 tff(f89177,plain,(
% 58.13/9.53 spl5880_2062 <=> ! [X0 : $o] : (($true = X0) | ($true != bG829(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2062])])).
% 58.13/9.53 tff(f48094,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG829(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38435])).
% 58.13/9.53 tff(f38435,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG829(X0))) & (($true = bG829(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21904])).
% 58.13/9.53 tff(f21904,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG829(X0)))),
% 58.13/9.53 inference(rectify,[],[f15367])).
% 58.13/9.53 tff(f89175,plain,(
% 58.13/9.53 spl5880_2061),
% 58.13/9.53 inference(avatar_split_clause,[],[f48086,f89173])).
% 58.13/9.53 tff(f89173,plain,(
% 58.13/9.53 spl5880_2061 <=> ! [X0 : $o] : (($true = X0) | ($true != bG833(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2061])])).
% 58.13/9.53 tff(f48086,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG833(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38427])).
% 58.13/9.53 tff(f38427,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG833(X0))) & (($true = bG833(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21900])).
% 58.13/9.53 tff(f21900,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG833(X0)))),
% 58.13/9.53 inference(rectify,[],[f15373])).
% 58.13/9.53 tff(f15373,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG833(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG833])])).
% 58.13/9.53 tff(f89171,plain,(
% 58.13/9.53 spl5880_2060),
% 58.13/9.53 inference(avatar_split_clause,[],[f48084,f89169])).
% 58.13/9.53 tff(f89169,plain,(
% 58.13/9.53 spl5880_2060 <=> ! [X0 : $o] : (($true = X0) | ($true != bG834(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2060])])).
% 58.13/9.53 tff(f48084,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG834(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38426])).
% 58.13/9.53 tff(f38426,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG834(X0))) & (($true = bG834(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21899])).
% 58.13/9.53 tff(f21899,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG834(X0)))),
% 58.13/9.53 inference(rectify,[],[f15374])).
% 58.13/9.53 tff(f15374,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG834(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG834])])).
% 58.13/9.53 tff(f89167,plain,(
% 58.13/9.53 spl5880_2059),
% 58.13/9.53 inference(avatar_split_clause,[],[f48082,f89165])).
% 58.13/9.53 tff(f89165,plain,(
% 58.13/9.53 spl5880_2059 <=> ! [X0 : $o] : (($true = X0) | ($true != bG835(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2059])])).
% 58.13/9.53 tff(f48082,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG835(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38425])).
% 58.13/9.53 tff(f38425,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG835(X0))) & (($true = bG835(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21898])).
% 58.13/9.53 tff(f21898,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG835(X0)))),
% 58.13/9.53 inference(rectify,[],[f15375])).
% 58.13/9.53 tff(f15375,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG835(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG835])])).
% 58.13/9.53 tff(f89163,plain,(
% 58.13/9.53 spl5880_2058),
% 58.13/9.53 inference(avatar_split_clause,[],[f48080,f89161])).
% 58.13/9.53 tff(f89161,plain,(
% 58.13/9.53 spl5880_2058 <=> ! [X0 : $o] : (($true = X0) | ($true != bG836(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2058])])).
% 58.13/9.53 tff(f48080,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG836(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38424])).
% 58.13/9.53 tff(f38424,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG836(X0))) & (($true = bG836(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21897])).
% 58.13/9.53 tff(f21897,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG836(X0)))),
% 58.13/9.53 inference(rectify,[],[f15376])).
% 58.13/9.53 tff(f15376,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG836(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG836])])).
% 58.13/9.53 tff(f89159,plain,(
% 58.13/9.53 spl5880_2057),
% 58.13/9.53 inference(avatar_split_clause,[],[f48072,f89157])).
% 58.13/9.53 tff(f89157,plain,(
% 58.13/9.53 spl5880_2057 <=> ! [X0 : $o] : (($true = X0) | ($true != bG840(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2057])])).
% 58.13/9.53 tff(f48072,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG840(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38416])).
% 58.13/9.53 tff(f38416,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG840(X0))) & (($true = bG840(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21893])).
% 58.13/9.53 tff(f21893,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG840(X0)))),
% 58.13/9.53 inference(rectify,[],[f15382])).
% 58.13/9.53 tff(f15382,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG840(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG840])])).
% 58.13/9.53 tff(f89155,plain,(
% 58.13/9.53 spl5880_2056),
% 58.13/9.53 inference(avatar_split_clause,[],[f48070,f89153])).
% 58.13/9.53 tff(f89153,plain,(
% 58.13/9.53 spl5880_2056 <=> ! [X0 : $o] : (($true = X0) | ($true != bG841(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2056])])).
% 58.13/9.53 tff(f48070,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG841(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38415])).
% 58.13/9.53 tff(f38415,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG841(X0))) & (($true = bG841(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21892])).
% 58.13/9.53 tff(f21892,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG841(X0)))),
% 58.13/9.53 inference(rectify,[],[f15383])).
% 58.13/9.53 tff(f15383,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG841(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG841])])).
% 58.13/9.53 tff(f89151,plain,(
% 58.13/9.53 spl5880_2055),
% 58.13/9.53 inference(avatar_split_clause,[],[f48057,f89149])).
% 58.13/9.53 tff(f89149,plain,(
% 58.13/9.53 spl5880_2055 <=> ! [X0 : $o] : (($true = X0) | ($true != bG846(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2055])])).
% 58.13/9.53 tff(f48057,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG846(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38411])).
% 58.13/9.53 tff(f38411,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG846(X0))) & (($true = bG846(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21882])).
% 58.13/9.53 tff(f21882,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG846(X0)))),
% 58.13/9.53 inference(rectify,[],[f15390])).
% 58.13/9.53 tff(f15390,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG846(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG846])])).
% 58.13/9.53 tff(f89147,plain,(
% 58.13/9.53 spl5880_2054 | ~spl5880_451 | ~spl5880_807),
% 58.13/9.53 inference(avatar_split_clause,[],[f85220,f82396,f80698,f89144])).
% 58.13/9.53 tff(f89144,plain,(
% 58.13/9.53 spl5880_2054 <=> sP1953(complex)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2054])])).
% 58.13/9.53 tff(f85220,plain,(
% 58.13/9.53 sP1953(complex) | (~spl5880_451 | ~spl5880_807)),
% 58.13/9.53 inference(resolution,[],[f82397,f80700])).
% 58.13/9.53 tff(f89142,plain,(
% 58.13/9.53 spl5880_2053),
% 58.13/9.53 inference(avatar_split_clause,[],[f48055,f89140])).
% 58.13/9.53 tff(f89140,plain,(
% 58.13/9.53 spl5880_2053 <=> ! [X0 : $o] : (($true = X0) | ($true != bG847(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2053])])).
% 58.13/9.53 tff(f48055,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG847(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38410])).
% 58.13/9.53 tff(f38410,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG847(X0))) & (($true = bG847(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21881])).
% 58.13/9.53 tff(f21881,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG847(X0)))),
% 58.13/9.53 inference(rectify,[],[f15391])).
% 58.13/9.53 tff(f15391,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG847(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG847])])).
% 58.13/9.53 tff(f89138,plain,(
% 58.13/9.53 spl5880_2052),
% 58.13/9.53 inference(avatar_split_clause,[],[f48053,f89136])).
% 58.13/9.53 tff(f89136,plain,(
% 58.13/9.53 spl5880_2052 <=> ! [X0 : $o] : (($true = X0) | ($true != bG848(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2052])])).
% 58.13/9.53 tff(f48053,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG848(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38409])).
% 58.13/9.53 tff(f38409,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG848(X0))) & (($true = bG848(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21880])).
% 58.13/9.53 tff(f21880,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG848(X0)))),
% 58.13/9.53 inference(rectify,[],[f15392])).
% 58.13/9.53 tff(f15392,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG848(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG848])])).
% 58.13/9.53 tff(f89134,plain,(
% 58.13/9.53 spl5880_2051),
% 58.13/9.53 inference(avatar_split_clause,[],[f48051,f89132])).
% 58.13/9.53 tff(f89132,plain,(
% 58.13/9.53 spl5880_2051 <=> ! [X0 : $o] : (($true = X0) | ($true != bG849(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2051])])).
% 58.13/9.53 tff(f48051,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG849(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38408])).
% 58.13/9.53 tff(f38408,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG849(X0))) & (($true = bG849(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21879])).
% 58.13/9.53 tff(f21879,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG849(X0)))),
% 58.13/9.53 inference(rectify,[],[f15393])).
% 58.13/9.53 tff(f15393,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG849(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG849])])).
% 58.13/9.53 tff(f89130,plain,(
% 58.13/9.53 spl5880_2050),
% 58.13/9.53 inference(avatar_split_clause,[],[f48022,f89128])).
% 58.13/9.53 tff(f89128,plain,(
% 58.13/9.53 spl5880_2050 <=> ! [X0 : $o] : (($true = X0) | ($true != bG862(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2050])])).
% 58.13/9.53 tff(f48022,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG862(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38400])).
% 58.13/9.53 tff(f38400,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG862(X0))) & (($true = bG862(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21853])).
% 58.13/9.53 tff(f21853,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG862(X0)))),
% 58.13/9.53 inference(rectify,[],[f15412])).
% 58.13/9.53 tff(f89126,plain,(
% 58.13/9.53 spl5880_2049),
% 58.13/9.53 inference(avatar_split_clause,[],[f48020,f89124])).
% 58.13/9.53 tff(f89124,plain,(
% 58.13/9.53 spl5880_2049 <=> ! [X0 : $o] : (($true = X0) | ($true != bG863(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2049])])).
% 58.13/9.53 tff(f48020,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG863(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38399])).
% 58.13/9.53 tff(f38399,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG863(X0))) & (($true = bG863(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21852])).
% 58.13/9.53 tff(f21852,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG863(X0)))),
% 58.13/9.53 inference(rectify,[],[f15413])).
% 58.13/9.53 tff(f89122,plain,(
% 58.13/9.53 spl5880_2048),
% 58.13/9.53 inference(avatar_split_clause,[],[f48018,f89120])).
% 58.13/9.53 tff(f89120,plain,(
% 58.13/9.53 spl5880_2048 <=> ! [X0 : $o] : (($true = X0) | ($true != bG864(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2048])])).
% 58.13/9.53 tff(f48018,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG864(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38398])).
% 58.13/9.53 tff(f38398,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG864(X0))) & (($true = bG864(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21851])).
% 58.13/9.53 tff(f21851,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG864(X0)))),
% 58.13/9.53 inference(rectify,[],[f15416])).
% 58.13/9.53 tff(f15416,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG864(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG864])])).
% 58.13/9.53 tff(f89118,plain,(
% 58.13/9.53 spl5880_2047),
% 58.13/9.53 inference(avatar_split_clause,[],[f48016,f89116])).
% 58.13/9.53 tff(f89116,plain,(
% 58.13/9.53 spl5880_2047 <=> ! [X0 : $o] : (($true = X0) | ($true != bG865(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2047])])).
% 58.13/9.53 tff(f48016,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG865(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38397])).
% 58.13/9.53 tff(f38397,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG865(X0))) & (($true = bG865(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21850])).
% 58.13/9.53 tff(f21850,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG865(X0)))),
% 58.13/9.53 inference(rectify,[],[f15417])).
% 58.13/9.53 tff(f15417,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG865(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG865])])).
% 58.13/9.53 tff(f89114,plain,(
% 58.13/9.53 spl5880_2046),
% 58.13/9.53 inference(avatar_split_clause,[],[f48008,f89112])).
% 58.13/9.53 tff(f89112,plain,(
% 58.13/9.53 spl5880_2046 <=> ! [X0 : $o] : (($true = X0) | ($true != bG869(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2046])])).
% 58.13/9.53 tff(f48008,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG869(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38395])).
% 58.13/9.53 tff(f38395,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG869(X0))) & (($true = bG869(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21844])).
% 58.13/9.53 tff(f21844,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG869(X0)))),
% 58.13/9.53 inference(rectify,[],[f15453])).
% 58.13/9.53 tff(f89110,plain,(
% 58.13/9.53 spl5880_2045),
% 58.13/9.53 inference(avatar_split_clause,[],[f48006,f89108])).
% 58.13/9.53 tff(f89108,plain,(
% 58.13/9.53 spl5880_2045 <=> ! [X0 : $o] : (($true = X0) | ($true != bG870(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2045])])).
% 58.13/9.53 tff(f48006,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG870(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38394])).
% 58.13/9.53 tff(f38394,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG870(X0))) & (($true = bG870(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21843])).
% 58.13/9.53 tff(f21843,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG870(X0)))),
% 58.13/9.53 inference(rectify,[],[f15454])).
% 58.13/9.53 tff(f89106,plain,(
% 58.13/9.53 spl5880_2044),
% 58.13/9.53 inference(avatar_split_clause,[],[f48002,f89104])).
% 58.13/9.53 tff(f89104,plain,(
% 58.13/9.53 spl5880_2044 <=> ! [X0 : $o] : (($true = X0) | ($true != bG872(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2044])])).
% 58.13/9.53 tff(f48002,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG872(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38393])).
% 58.13/9.53 tff(f38393,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG872(X0))) & (($true = bG872(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21840])).
% 58.13/9.53 tff(f21840,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG872(X0)))),
% 58.13/9.53 inference(rectify,[],[f15458])).
% 58.13/9.53 tff(f15458,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG872(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG872])])).
% 58.13/9.53 tff(f89102,plain,(
% 58.13/9.53 spl5880_2043 | ~spl5880_453 | ~spl5880_807),
% 58.13/9.53 inference(avatar_split_clause,[],[f85219,f82396,f80708,f89099])).
% 58.13/9.53 tff(f89099,plain,(
% 58.13/9.53 spl5880_2043 <=> sP1953($o)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2043])])).
% 58.13/9.53 tff(f85219,plain,(
% 58.13/9.53 sP1953($o) | (~spl5880_453 | ~spl5880_807)),
% 58.13/9.53 inference(resolution,[],[f82397,f80710])).
% 58.13/9.53 tff(f89097,plain,(
% 58.13/9.53 spl5880_2042),
% 58.13/9.53 inference(avatar_split_clause,[],[f48000,f89095])).
% 58.13/9.53 tff(f89095,plain,(
% 58.13/9.53 spl5880_2042 <=> ! [X0 : $o] : (($true = X0) | ($true != bG873(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2042])])).
% 58.13/9.53 tff(f48000,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG873(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38392])).
% 58.13/9.53 tff(f38392,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG873(X0))) & (($true = bG873(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21839])).
% 58.13/9.53 tff(f21839,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG873(X0)))),
% 58.13/9.53 inference(rectify,[],[f15459])).
% 58.13/9.53 tff(f15459,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG873(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG873])])).
% 58.13/9.53 tff(f89093,plain,(
% 58.13/9.53 spl5880_2041),
% 58.13/9.53 inference(avatar_split_clause,[],[f47996,f89091])).
% 58.13/9.53 tff(f89091,plain,(
% 58.13/9.53 spl5880_2041 <=> ! [X0 : $o] : (($true = X0) | ($true != bG875(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2041])])).
% 58.13/9.53 tff(f47996,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG875(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38391])).
% 58.13/9.53 tff(f38391,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG875(X0))) & (($true = bG875(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21836])).
% 58.13/9.53 tff(f21836,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG875(X0)))),
% 58.13/9.53 inference(rectify,[],[f15461])).
% 58.13/9.53 tff(f15461,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG875(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG875])])).
% 58.13/9.53 tff(f89089,plain,(
% 58.13/9.53 spl5880_2040),
% 58.13/9.53 inference(avatar_split_clause,[],[f47994,f89087])).
% 58.13/9.53 tff(f89087,plain,(
% 58.13/9.53 spl5880_2040 <=> ! [X0 : $o] : (($true = X0) | ($true != bG876(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2040])])).
% 58.13/9.53 tff(f47994,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG876(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38390])).
% 58.13/9.53 tff(f38390,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG876(X0))) & (($true = bG876(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21835])).
% 58.13/9.53 tff(f21835,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG876(X0)))),
% 58.13/9.53 inference(rectify,[],[f15462])).
% 58.13/9.53 tff(f15462,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG876(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG876])])).
% 58.13/9.53 tff(f89085,plain,(
% 58.13/9.53 spl5880_2039),
% 58.13/9.53 inference(avatar_split_clause,[],[f47992,f89083])).
% 58.13/9.53 tff(f89083,plain,(
% 58.13/9.53 spl5880_2039 <=> ! [X0 : $o] : (($true = X0) | ($true != bG877(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2039])])).
% 58.13/9.53 tff(f47992,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG877(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38389])).
% 58.13/9.53 tff(f38389,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG877(X0))) & (($true = bG877(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21834])).
% 58.13/9.53 tff(f21834,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG877(X0)))),
% 58.13/9.53 inference(rectify,[],[f15467])).
% 58.13/9.53 tff(f89081,plain,(
% 58.13/9.53 spl5880_2038),
% 58.13/9.53 inference(avatar_split_clause,[],[f47990,f89079])).
% 58.13/9.53 tff(f89079,plain,(
% 58.13/9.53 spl5880_2038 <=> ! [X0 : $o] : (($true = X0) | ($true != bG878(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2038])])).
% 58.13/9.53 tff(f47990,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG878(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38388])).
% 58.13/9.53 tff(f38388,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG878(X0))) & (($true = bG878(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21833])).
% 58.13/9.53 tff(f21833,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG878(X0)))),
% 58.13/9.53 inference(rectify,[],[f15468])).
% 58.13/9.53 tff(f89077,plain,(
% 58.13/9.53 spl5880_2037),
% 58.13/9.53 inference(avatar_split_clause,[],[f47988,f89075])).
% 58.13/9.53 tff(f89075,plain,(
% 58.13/9.53 spl5880_2037 <=> ! [X0 : $o] : (($true = X0) | ($true != bG879(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2037])])).
% 58.13/9.53 tff(f47988,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG879(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38387])).
% 58.13/9.53 tff(f38387,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG879(X0))) & (($true = bG879(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21832])).
% 58.13/9.53 tff(f21832,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG879(X0)))),
% 58.13/9.53 inference(rectify,[],[f15471])).
% 58.13/9.53 tff(f15471,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG879(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG879])])).
% 58.13/9.53 tff(f89073,plain,(
% 58.13/9.53 spl5880_2036),
% 58.13/9.53 inference(avatar_split_clause,[],[f47986,f89071])).
% 58.13/9.53 tff(f89071,plain,(
% 58.13/9.53 spl5880_2036 <=> ! [X0 : $o] : (($true = X0) | ($true != bG880(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2036])])).
% 58.13/9.53 tff(f47986,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG880(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38386])).
% 58.13/9.53 tff(f38386,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG880(X0))) & (($true = bG880(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21831])).
% 58.13/9.53 tff(f21831,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG880(X0)))),
% 58.13/9.53 inference(rectify,[],[f15472])).
% 58.13/9.53 tff(f15472,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG880(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG880])])).
% 58.13/9.53 tff(f89069,plain,(
% 58.13/9.53 spl5880_2035),
% 58.13/9.53 inference(avatar_split_clause,[],[f47984,f89067])).
% 58.13/9.53 tff(f89067,plain,(
% 58.13/9.53 spl5880_2035 <=> ! [X0 : $o] : (($true = X0) | ($true != bG881(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2035])])).
% 58.13/9.53 tff(f47984,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG881(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38385])).
% 58.13/9.53 tff(f38385,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG881(X0))) & (($true = bG881(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21830])).
% 58.13/9.53 tff(f21830,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG881(X0)))),
% 58.13/9.53 inference(rectify,[],[f15473])).
% 58.13/9.53 tff(f15473,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG881(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG881])])).
% 58.13/9.53 tff(f89065,plain,(
% 58.13/9.53 spl5880_2034),
% 58.13/9.53 inference(avatar_split_clause,[],[f47982,f89063])).
% 58.13/9.53 tff(f89063,plain,(
% 58.13/9.53 spl5880_2034 <=> ! [X0 : $o] : (($true = X0) | ($true != bG882(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2034])])).
% 58.13/9.53 tff(f47982,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG882(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38384])).
% 58.13/9.53 tff(f38384,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG882(X0))) & (($true = bG882(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21829])).
% 58.13/9.53 tff(f21829,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG882(X0)))),
% 58.13/9.53 inference(rectify,[],[f15474])).
% 58.13/9.53 tff(f15474,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG882(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG882])])).
% 58.13/9.53 tff(f89061,plain,(
% 58.13/9.53 spl5880_2033),
% 58.13/9.53 inference(avatar_split_clause,[],[f47972,f89059])).
% 58.13/9.53 tff(f89059,plain,(
% 58.13/9.53 spl5880_2033 <=> ! [X0 : $o] : (($true = X0) | ($true != bG889(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2033])])).
% 58.13/9.53 tff(f47972,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG889(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38383])).
% 58.13/9.53 tff(f38383,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG889(X0))) & (($true = bG889(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21820])).
% 58.13/9.53 tff(f21820,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG889(X0)))),
% 58.13/9.53 inference(rectify,[],[f15487])).
% 58.13/9.53 tff(f89057,plain,(
% 58.13/9.53 spl5880_2032 | ~spl5880_452 | ~spl5880_806),
% 58.13/9.53 inference(avatar_split_clause,[],[f85218,f82392,f80703,f89054])).
% 58.13/9.53 tff(f89054,plain,(
% 58.13/9.53 spl5880_2032 <=> sP1950(int)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2032])])).
% 58.13/9.53 tff(f82392,plain,(
% 58.13/9.53 spl5880_806 <=> ! [X0 : $tType] : (sP1950(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_806])])).
% 58.13/9.53 tff(f85218,plain,(
% 58.13/9.53 sP1950(int) | (~spl5880_452 | ~spl5880_806)),
% 58.13/9.53 inference(resolution,[],[f82393,f80705])).
% 58.13/9.53 tff(f82393,plain,(
% 58.13/9.53 ( ! [X0 : $tType] : (~topolo4958980785337419405_space(X0) | sP1950(X0)) ) | ~spl5880_806),
% 58.13/9.53 inference(avatar_component_clause,[],[f82392])).
% 58.13/9.53 tff(f89052,plain,(
% 58.13/9.53 spl5880_2031),
% 58.13/9.53 inference(avatar_split_clause,[],[f47970,f89050])).
% 58.13/9.53 tff(f89050,plain,(
% 58.13/9.53 spl5880_2031 <=> ! [X0 : $o] : (($true = X0) | ($true != bG890(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2031])])).
% 58.13/9.53 tff(f47970,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG890(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38382])).
% 58.13/9.53 tff(f38382,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG890(X0))) & (($true = bG890(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21819])).
% 58.13/9.53 tff(f21819,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG890(X0)))),
% 58.13/9.53 inference(rectify,[],[f15488])).
% 58.13/9.53 tff(f89048,plain,(
% 58.13/9.53 spl5880_2030),
% 58.13/9.53 inference(avatar_split_clause,[],[f47966,f89046])).
% 58.13/9.53 tff(f89046,plain,(
% 58.13/9.53 spl5880_2030 <=> ! [X0 : $o] : (($true = X0) | ($true != bG892(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2030])])).
% 58.13/9.53 tff(f47966,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG892(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38381])).
% 58.13/9.53 tff(f38381,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG892(X0))) & (($true = bG892(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21816])).
% 58.13/9.53 tff(f21816,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG892(X0)))),
% 58.13/9.53 inference(rectify,[],[f15492])).
% 58.13/9.53 tff(f15492,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG892(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG892])])).
% 58.13/9.53 tff(f89044,plain,(
% 58.13/9.53 spl5880_2029),
% 58.13/9.53 inference(avatar_split_clause,[],[f47964,f89042])).
% 58.13/9.53 tff(f89042,plain,(
% 58.13/9.53 spl5880_2029 <=> ! [X0 : $o] : (($true = X0) | ($true != bG893(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2029])])).
% 58.13/9.53 tff(f47964,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG893(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38380])).
% 58.13/9.53 tff(f38380,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG893(X0))) & (($true = bG893(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21815])).
% 58.13/9.53 tff(f21815,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG893(X0)))),
% 58.13/9.53 inference(rectify,[],[f15493])).
% 58.13/9.53 tff(f15493,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG893(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG893])])).
% 58.13/9.53 tff(f89040,plain,(
% 58.13/9.53 spl5880_2028),
% 58.13/9.53 inference(avatar_split_clause,[],[f47960,f89038])).
% 58.13/9.53 tff(f89038,plain,(
% 58.13/9.53 spl5880_2028 <=> ! [X0 : $o] : (($true = X0) | ($true != bG895(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2028])])).
% 58.13/9.53 tff(f47960,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG895(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38379])).
% 58.13/9.53 tff(f38379,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG895(X0))) & (($true = bG895(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21812])).
% 58.13/9.53 tff(f21812,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG895(X0)))),
% 58.13/9.53 inference(rectify,[],[f15495])).
% 58.13/9.53 tff(f15495,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG895(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG895])])).
% 58.13/9.53 tff(f89036,plain,(
% 58.13/9.53 spl5880_2027),
% 58.13/9.53 inference(avatar_split_clause,[],[f47958,f89034])).
% 58.13/9.53 tff(f89034,plain,(
% 58.13/9.53 spl5880_2027 <=> ! [X0 : $o] : (($true = X0) | ($true != bG896(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2027])])).
% 58.13/9.53 tff(f47958,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG896(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38378])).
% 58.13/9.53 tff(f38378,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG896(X0))) & (($true = bG896(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21811])).
% 58.13/9.53 tff(f21811,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG896(X0)))),
% 58.13/9.53 inference(rectify,[],[f15496])).
% 58.13/9.53 tff(f15496,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG896(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG896])])).
% 58.13/9.53 tff(f89032,plain,(
% 58.13/9.53 spl5880_2026),
% 58.13/9.53 inference(avatar_split_clause,[],[f47956,f89030])).
% 58.13/9.53 tff(f89030,plain,(
% 58.13/9.53 spl5880_2026 <=> ! [X0 : $o] : (($true = X0) | ($true != bG897(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2026])])).
% 58.13/9.53 tff(f47956,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG897(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38377])).
% 58.13/9.53 tff(f38377,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG897(X0))) & (($true = bG897(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21810])).
% 58.13/9.53 tff(f21810,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG897(X0)))),
% 58.13/9.53 inference(rectify,[],[f15517])).
% 58.13/9.53 tff(f15517,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG897(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG897])])).
% 58.13/9.53 tff(f89028,plain,(
% 58.13/9.53 spl5880_2025),
% 58.13/9.53 inference(avatar_split_clause,[],[f47954,f89026])).
% 58.13/9.53 tff(f89026,plain,(
% 58.13/9.53 spl5880_2025 <=> ! [X0 : $o] : (($true = X0) | ($true != bG898(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2025])])).
% 58.13/9.53 tff(f47954,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG898(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38376])).
% 58.13/9.53 tff(f38376,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG898(X0))) & (($true = bG898(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21809])).
% 58.13/9.53 tff(f21809,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG898(X0)))),
% 58.13/9.53 inference(rectify,[],[f15518])).
% 58.13/9.53 tff(f15518,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG898(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG898])])).
% 58.13/9.53 tff(f89024,plain,(
% 58.13/9.53 spl5880_2024),
% 58.13/9.53 inference(avatar_split_clause,[],[f47948,f89022])).
% 58.13/9.53 tff(f89022,plain,(
% 58.13/9.53 spl5880_2024 <=> ! [X0 : $o] : (($true = X0) | ($true != bG901(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2024])])).
% 58.13/9.53 tff(f47948,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG901(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38375])).
% 58.13/9.53 tff(f38375,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG901(X0))) & (($true = bG901(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21804])).
% 58.13/9.53 tff(f21804,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG901(X0)))),
% 58.13/9.53 inference(rectify,[],[f15523])).
% 58.13/9.53 tff(f15523,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG901(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG901])])).
% 58.13/9.53 tff(f89020,plain,(
% 58.13/9.53 spl5880_2023),
% 58.13/9.53 inference(avatar_split_clause,[],[f47946,f89018])).
% 58.13/9.53 tff(f89018,plain,(
% 58.13/9.53 spl5880_2023 <=> ! [X0 : $o] : (($true = X0) | ($true != bG902(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2023])])).
% 58.13/9.53 tff(f47946,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG902(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38374])).
% 58.13/9.53 tff(f38374,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG902(X0))) & (($true = bG902(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21803])).
% 58.13/9.53 tff(f21803,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG902(X0)))),
% 58.13/9.53 inference(rectify,[],[f15524])).
% 58.13/9.53 tff(f15524,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG902(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG902])])).
% 58.13/9.53 tff(f89016,plain,(
% 58.13/9.53 spl5880_2022),
% 58.13/9.53 inference(avatar_split_clause,[],[f47940,f89014])).
% 58.13/9.53 tff(f89014,plain,(
% 58.13/9.53 spl5880_2022 <=> ! [X0 : $o] : (($true = X0) | ($true != bG905(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2022])])).
% 58.13/9.53 tff(f47940,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG905(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38373])).
% 58.13/9.53 tff(f38373,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG905(X0))) & (($true = bG905(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21798])).
% 58.13/9.53 tff(f21798,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG905(X0)))),
% 58.13/9.53 inference(rectify,[],[f15527])).
% 58.13/9.53 tff(f15527,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG905(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG905])])).
% 58.13/9.53 tff(f89012,plain,(
% 58.13/9.53 spl5880_2021 | ~spl5880_455 | ~spl5880_806),
% 58.13/9.53 inference(avatar_split_clause,[],[f85217,f82392,f80718,f89009])).
% 58.13/9.53 tff(f89009,plain,(
% 58.13/9.53 spl5880_2021 <=> sP1950(nat)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2021])])).
% 58.13/9.53 tff(f85217,plain,(
% 58.13/9.53 sP1950(nat) | (~spl5880_455 | ~spl5880_806)),
% 58.13/9.53 inference(resolution,[],[f82393,f80720])).
% 58.13/9.53 tff(f89007,plain,(
% 58.13/9.53 spl5880_2020),
% 58.13/9.53 inference(avatar_split_clause,[],[f47938,f89005])).
% 58.13/9.53 tff(f89005,plain,(
% 58.13/9.53 spl5880_2020 <=> ! [X0 : $o] : (($true = X0) | ($true != bG906(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2020])])).
% 58.13/9.53 tff(f47938,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG906(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38372])).
% 58.13/9.53 tff(f38372,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG906(X0))) & (($true = bG906(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21797])).
% 58.13/9.53 tff(f21797,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG906(X0)))),
% 58.13/9.53 inference(rectify,[],[f15528])).
% 58.13/9.53 tff(f15528,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG906(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG906])])).
% 58.13/9.53 tff(f89003,plain,(
% 58.13/9.53 spl5880_2019),
% 58.13/9.53 inference(avatar_split_clause,[],[f47936,f89001])).
% 58.13/9.53 tff(f89001,plain,(
% 58.13/9.53 spl5880_2019 <=> ! [X0 : $o] : (($true = X0) | ($true != bG907(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2019])])).
% 58.13/9.53 tff(f47936,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG907(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38371])).
% 58.13/9.53 tff(f38371,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG907(X0))) & (($true = bG907(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21796])).
% 58.13/9.53 tff(f21796,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG907(X0)))),
% 58.13/9.53 inference(rectify,[],[f15531])).
% 58.13/9.53 tff(f15531,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG907(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG907])])).
% 58.13/9.53 tff(f88999,plain,(
% 58.13/9.53 spl5880_2018),
% 58.13/9.53 inference(avatar_split_clause,[],[f47934,f88997])).
% 58.13/9.53 tff(f88997,plain,(
% 58.13/9.53 spl5880_2018 <=> ! [X0 : $o] : (($true = X0) | ($true != bG908(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2018])])).
% 58.13/9.53 tff(f47934,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG908(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38370])).
% 58.13/9.53 tff(f38370,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG908(X0))) & (($true = bG908(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21795])).
% 58.13/9.53 tff(f21795,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG908(X0)))),
% 58.13/9.53 inference(rectify,[],[f15532])).
% 58.13/9.53 tff(f15532,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG908(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG908])])).
% 58.13/9.53 tff(f88995,plain,(
% 58.13/9.53 spl5880_2017),
% 58.13/9.53 inference(avatar_split_clause,[],[f47928,f88993])).
% 58.13/9.53 tff(f88993,plain,(
% 58.13/9.53 spl5880_2017 <=> ! [X0 : $o] : (($true = X0) | ($true != bG911(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2017])])).
% 58.13/9.53 tff(f47928,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG911(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38369])).
% 58.13/9.53 tff(f38369,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG911(X0))) & (($true = bG911(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21790])).
% 58.13/9.53 tff(f21790,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG911(X0)))),
% 58.13/9.53 inference(rectify,[],[f15537])).
% 58.13/9.53 tff(f15537,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG911(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG911])])).
% 58.13/9.53 tff(f88991,plain,(
% 58.13/9.53 spl5880_2016),
% 58.13/9.53 inference(avatar_split_clause,[],[f47926,f88989])).
% 58.13/9.53 tff(f88989,plain,(
% 58.13/9.53 spl5880_2016 <=> ! [X0 : $o] : (($true = X0) | ($true != bG912(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2016])])).
% 58.13/9.53 tff(f47926,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG912(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38368])).
% 58.13/9.53 tff(f38368,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG912(X0))) & (($true = bG912(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21789])).
% 58.13/9.53 tff(f21789,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG912(X0)))),
% 58.13/9.53 inference(rectify,[],[f15538])).
% 58.13/9.53 tff(f15538,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG912(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG912])])).
% 58.13/9.53 tff(f88987,plain,(
% 58.13/9.53 spl5880_2015),
% 58.13/9.53 inference(avatar_split_clause,[],[f47920,f88985])).
% 58.13/9.53 tff(f88985,plain,(
% 58.13/9.53 spl5880_2015 <=> ! [X0 : $o] : (($true = X0) | ($true != bG915(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2015])])).
% 58.13/9.53 tff(f47920,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG915(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38367])).
% 58.13/9.53 tff(f38367,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG915(X0))) & (($true = bG915(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21784])).
% 58.13/9.53 tff(f21784,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG915(X0)))),
% 58.13/9.53 inference(rectify,[],[f15541])).
% 58.13/9.53 tff(f15541,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG915(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG915])])).
% 58.13/9.53 tff(f88983,plain,(
% 58.13/9.53 spl5880_2014),
% 58.13/9.53 inference(avatar_split_clause,[],[f47918,f88981])).
% 58.13/9.53 tff(f88981,plain,(
% 58.13/9.53 spl5880_2014 <=> ! [X0 : $o] : (($true = X0) | ($true != bG916(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2014])])).
% 58.13/9.53 tff(f47918,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG916(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38366])).
% 58.13/9.53 tff(f38366,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG916(X0))) & (($true = bG916(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21783])).
% 58.13/9.53 tff(f21783,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG916(X0)))),
% 58.13/9.53 inference(rectify,[],[f15542])).
% 58.13/9.53 tff(f15542,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG916(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG916])])).
% 58.13/9.53 tff(f88979,plain,(
% 58.13/9.53 spl5880_2013),
% 58.13/9.53 inference(avatar_split_clause,[],[f47916,f88977])).
% 58.13/9.53 tff(f88977,plain,(
% 58.13/9.53 spl5880_2013 <=> ! [X0 : $o] : (($true = X0) | ($true != bG917(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2013])])).
% 58.13/9.53 tff(f47916,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG917(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38365])).
% 58.13/9.53 tff(f38365,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG917(X0))) & (($true = bG917(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21782])).
% 58.13/9.53 tff(f21782,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG917(X0)))),
% 58.13/9.53 inference(rectify,[],[f15553])).
% 58.13/9.53 tff(f15553,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG917(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG917])])).
% 58.13/9.53 tff(f88975,plain,(
% 58.13/9.53 spl5880_2012),
% 58.13/9.53 inference(avatar_split_clause,[],[f47914,f88973])).
% 58.13/9.53 tff(f88973,plain,(
% 58.13/9.53 spl5880_2012 <=> ! [X0 : $o] : (($true = X0) | ($true != bG918(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2012])])).
% 58.13/9.53 tff(f47914,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG918(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38364])).
% 58.13/9.53 tff(f38364,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG918(X0))) & (($true = bG918(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21781])).
% 58.13/9.53 tff(f21781,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG918(X0)))),
% 58.13/9.53 inference(rectify,[],[f15554])).
% 58.13/9.53 tff(f15554,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG918(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG918])])).
% 58.13/9.53 tff(f88971,plain,(
% 58.13/9.53 spl5880_2011),
% 58.13/9.53 inference(avatar_split_clause,[],[f47912,f88969])).
% 58.13/9.53 tff(f88969,plain,(
% 58.13/9.53 spl5880_2011 <=> ! [X0 : $o] : (($true = X0) | ($true != bG919(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2011])])).
% 58.13/9.53 tff(f47912,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG919(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38363])).
% 58.13/9.53 tff(f38363,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG919(X0))) & (($true = bG919(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21780])).
% 58.13/9.53 tff(f21780,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG919(X0)))),
% 58.13/9.53 inference(rectify,[],[f15557])).
% 58.13/9.53 tff(f15557,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG919(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG919])])).
% 58.13/9.53 tff(f88967,plain,(
% 58.13/9.53 spl5880_2010 | ~spl5880_454 | ~spl5880_806),
% 58.13/9.53 inference(avatar_split_clause,[],[f85216,f82392,f80713,f88964])).
% 58.13/9.53 tff(f88964,plain,(
% 58.13/9.53 spl5880_2010 <=> sP1950(real)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2010])])).
% 58.13/9.53 tff(f85216,plain,(
% 58.13/9.53 sP1950(real) | (~spl5880_454 | ~spl5880_806)),
% 58.13/9.53 inference(resolution,[],[f82393,f80715])).
% 58.13/9.53 tff(f88962,plain,(
% 58.13/9.53 spl5880_2009),
% 58.13/9.53 inference(avatar_split_clause,[],[f47910,f88960])).
% 58.13/9.53 tff(f88960,plain,(
% 58.13/9.53 spl5880_2009 <=> ! [X0 : $o] : (($true = X0) | ($true != bG920(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2009])])).
% 58.13/9.53 tff(f47910,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG920(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38362])).
% 58.13/9.53 tff(f38362,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG920(X0))) & (($true = bG920(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21779])).
% 58.13/9.53 tff(f21779,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG920(X0)))),
% 58.13/9.53 inference(rectify,[],[f15558])).
% 58.13/9.53 tff(f15558,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG920(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG920])])).
% 58.13/9.53 tff(f88958,plain,(
% 58.13/9.53 spl5880_2008),
% 58.13/9.53 inference(avatar_split_clause,[],[f47908,f88956])).
% 58.13/9.53 tff(f88956,plain,(
% 58.13/9.53 spl5880_2008 <=> ! [X0 : $o] : (($true = X0) | ($true != bG921(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2008])])).
% 58.13/9.53 tff(f47908,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG921(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38361])).
% 58.13/9.53 tff(f38361,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG921(X0))) & (($true = bG921(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21778])).
% 58.13/9.53 tff(f21778,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG921(X0)))),
% 58.13/9.53 inference(rectify,[],[f15559])).
% 58.13/9.53 tff(f15559,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG921(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG921])])).
% 58.13/9.53 tff(f88954,plain,(
% 58.13/9.53 spl5880_2007),
% 58.13/9.53 inference(avatar_split_clause,[],[f47906,f88952])).
% 58.13/9.53 tff(f88952,plain,(
% 58.13/9.53 spl5880_2007 <=> ! [X0 : $o] : (($true = X0) | ($true != bG922(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2007])])).
% 58.13/9.53 tff(f47906,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG922(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38360])).
% 58.13/9.53 tff(f38360,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG922(X0))) & (($true = bG922(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21777])).
% 58.13/9.53 tff(f21777,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG922(X0)))),
% 58.13/9.53 inference(rectify,[],[f15560])).
% 58.13/9.53 tff(f15560,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG922(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG922])])).
% 58.13/9.53 tff(f88950,plain,(
% 58.13/9.53 spl5880_2006),
% 58.13/9.53 inference(avatar_split_clause,[],[f47900,f88948])).
% 58.13/9.53 tff(f88948,plain,(
% 58.13/9.53 spl5880_2006 <=> ! [X0 : $o] : (($true = X0) | ($true != bG925(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2006])])).
% 58.13/9.53 tff(f47900,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG925(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38359])).
% 58.13/9.53 tff(f38359,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG925(X0))) & (($true = bG925(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21772])).
% 58.13/9.53 tff(f21772,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG925(X0)))),
% 58.13/9.53 inference(rectify,[],[f15777])).
% 58.13/9.53 tff(f15777,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG925(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG925])])).
% 58.13/9.53 tff(f88946,plain,(
% 58.13/9.53 spl5880_2005),
% 58.13/9.53 inference(avatar_split_clause,[],[f47898,f88944])).
% 58.13/9.53 tff(f88944,plain,(
% 58.13/9.53 spl5880_2005 <=> ! [X0 : $o] : (($true = X0) | ($true != bG926(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2005])])).
% 58.13/9.53 tff(f47898,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG926(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38358])).
% 58.13/9.53 tff(f38358,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG926(X0))) & (($true = bG926(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21771])).
% 58.13/9.53 tff(f21771,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG926(X0)))),
% 58.13/9.53 inference(rectify,[],[f15778])).
% 58.13/9.53 tff(f15778,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG926(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG926])])).
% 58.13/9.53 tff(f88942,plain,(
% 58.13/9.53 spl5880_2004),
% 58.13/9.53 inference(avatar_split_clause,[],[f47896,f88940])).
% 58.13/9.53 tff(f88940,plain,(
% 58.13/9.53 spl5880_2004 <=> ! [X0 : $o] : (($true = X0) | ($true != bG927(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2004])])).
% 58.13/9.53 tff(f47896,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG927(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38357])).
% 58.13/9.53 tff(f38357,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG927(X0))) & (($true = bG927(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21770])).
% 58.13/9.53 tff(f21770,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG927(X0)))),
% 58.13/9.53 inference(rectify,[],[f15781])).
% 58.13/9.53 tff(f15781,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG927(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG927])])).
% 58.13/9.53 tff(f88938,plain,(
% 58.13/9.53 spl5880_2003),
% 58.13/9.53 inference(avatar_split_clause,[],[f47894,f88936])).
% 58.13/9.53 tff(f88936,plain,(
% 58.13/9.53 spl5880_2003 <=> ! [X0 : $o] : (($true = X0) | ($true != bG928(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2003])])).
% 58.13/9.53 tff(f47894,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG928(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38356])).
% 58.13/9.53 tff(f38356,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG928(X0))) & (($true = bG928(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21769])).
% 58.13/9.53 tff(f21769,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG928(X0)))),
% 58.13/9.53 inference(rectify,[],[f15782])).
% 58.13/9.53 tff(f15782,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG928(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG928])])).
% 58.13/9.53 tff(f88934,plain,(
% 58.13/9.53 spl5880_2002),
% 58.13/9.53 inference(avatar_split_clause,[],[f47892,f88932])).
% 58.13/9.53 tff(f88932,plain,(
% 58.13/9.53 spl5880_2002 <=> ! [X0 : $o] : (($true = X0) | ($true != bG929(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2002])])).
% 58.13/9.53 tff(f47892,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG929(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38355])).
% 58.13/9.53 tff(f38355,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG929(X0))) & (($true = bG929(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21768])).
% 58.13/9.53 tff(f21768,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG929(X0)))),
% 58.13/9.53 inference(rectify,[],[f15783])).
% 58.13/9.53 tff(f15783,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG929(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG929])])).
% 58.13/9.53 tff(f88930,plain,(
% 58.13/9.53 spl5880_2001),
% 58.13/9.53 inference(avatar_split_clause,[],[f47890,f88928])).
% 58.13/9.53 tff(f88928,plain,(
% 58.13/9.53 spl5880_2001 <=> ! [X0 : $o] : (($true = X0) | ($true != bG930(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2001])])).
% 58.13/9.53 tff(f47890,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG930(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38354])).
% 58.13/9.53 tff(f38354,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG930(X0))) & (($true = bG930(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21767])).
% 58.13/9.53 tff(f21767,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG930(X0)))),
% 58.13/9.53 inference(rectify,[],[f15784])).
% 58.13/9.53 tff(f15784,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG930(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG930])])).
% 58.13/9.53 tff(f88926,plain,(
% 58.13/9.53 spl5880_2000),
% 58.13/9.53 inference(avatar_split_clause,[],[f47888,f88924])).
% 58.13/9.53 tff(f88924,plain,(
% 58.13/9.53 spl5880_2000 <=> ! [X0 : $o] : (($true = X0) | ($true != bG931(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_2000])])).
% 58.13/9.53 tff(f47888,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG931(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38353])).
% 58.13/9.53 tff(f38353,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG931(X0))) & (($true = bG931(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21766])).
% 58.13/9.53 tff(f21766,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG931(X0)))),
% 58.13/9.53 inference(rectify,[],[f15791])).
% 58.13/9.53 tff(f15791,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG931(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG931])])).
% 58.13/9.53 tff(f88922,plain,(
% 58.13/9.53 spl5880_1999 | ~spl5880_451 | ~spl5880_806),
% 58.13/9.53 inference(avatar_split_clause,[],[f85215,f82392,f80698,f88919])).
% 58.13/9.53 tff(f88919,plain,(
% 58.13/9.53 spl5880_1999 <=> sP1950(complex)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1999])])).
% 58.13/9.53 tff(f85215,plain,(
% 58.13/9.53 sP1950(complex) | (~spl5880_451 | ~spl5880_806)),
% 58.13/9.53 inference(resolution,[],[f82393,f80700])).
% 58.13/9.53 tff(f88917,plain,(
% 58.13/9.53 spl5880_1998),
% 58.13/9.53 inference(avatar_split_clause,[],[f47886,f88915])).
% 58.13/9.53 tff(f88915,plain,(
% 58.13/9.53 spl5880_1998 <=> ! [X0 : $o] : (($true = X0) | ($true != bG932(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1998])])).
% 58.13/9.53 tff(f47886,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG932(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38352])).
% 58.13/9.53 tff(f38352,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG932(X0))) & (($true = bG932(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21765])).
% 58.13/9.53 tff(f21765,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG932(X0)))),
% 58.13/9.53 inference(rectify,[],[f15792])).
% 58.13/9.53 tff(f15792,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG932(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG932])])).
% 58.13/9.53 tff(f88913,plain,(
% 58.13/9.53 spl5880_1997),
% 58.13/9.53 inference(avatar_split_clause,[],[f47861,f88911])).
% 58.13/9.53 tff(f88911,plain,(
% 58.13/9.53 spl5880_1997 <=> ! [X0 : $o] : (($true = X0) | ($true != bG941(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1997])])).
% 58.13/9.53 tff(f47861,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG941(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38344])).
% 58.13/9.53 tff(f38344,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG941(X0))) & (($true = bG941(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21743])).
% 58.13/9.53 tff(f21743,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG941(X0)))),
% 58.13/9.53 inference(rectify,[],[f15803])).
% 58.13/9.53 tff(f15803,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG941(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG941])])).
% 58.13/9.53 tff(f88909,plain,(
% 58.13/9.53 spl5880_1996),
% 58.13/9.53 inference(avatar_split_clause,[],[f47859,f88907])).
% 58.13/9.53 tff(f88907,plain,(
% 58.13/9.53 spl5880_1996 <=> ! [X0 : $o] : (($true = X0) | ($true != bG942(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1996])])).
% 58.13/9.53 tff(f47859,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG942(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38343])).
% 58.13/9.53 tff(f38343,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG942(X0))) & (($true = bG942(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21742])).
% 58.13/9.53 tff(f21742,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG942(X0)))),
% 58.13/9.53 inference(rectify,[],[f15804])).
% 58.13/9.53 tff(f15804,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG942(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG942])])).
% 58.13/9.53 tff(f88905,plain,(
% 58.13/9.53 spl5880_1995),
% 58.13/9.53 inference(avatar_split_clause,[],[f47857,f88903])).
% 58.13/9.53 tff(f88903,plain,(
% 58.13/9.53 spl5880_1995 <=> ! [X0 : $o] : (($true = X0) | ($true != bG943(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1995])])).
% 58.13/9.53 tff(f47857,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG943(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38342])).
% 58.13/9.53 tff(f38342,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG943(X0))) & (($true = bG943(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21741])).
% 58.13/9.53 tff(f21741,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG943(X0)))),
% 58.13/9.53 inference(rectify,[],[f15805])).
% 58.13/9.53 tff(f15805,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG943(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG943])])).
% 58.13/9.53 tff(f88901,plain,(
% 58.13/9.53 spl5880_1994),
% 58.13/9.53 inference(avatar_split_clause,[],[f47855,f88899])).
% 58.13/9.53 tff(f88899,plain,(
% 58.13/9.53 spl5880_1994 <=> ! [X0 : $o] : (($true = X0) | ($true != bG944(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1994])])).
% 58.13/9.53 tff(f47855,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG944(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38341])).
% 58.13/9.53 tff(f38341,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG944(X0))) & (($true = bG944(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21740])).
% 58.13/9.53 tff(f21740,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG944(X0)))),
% 58.13/9.53 inference(rectify,[],[f15806])).
% 58.13/9.53 tff(f15806,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG944(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG944])])).
% 58.13/9.53 tff(f88897,plain,(
% 58.13/9.53 spl5880_1993),
% 58.13/9.53 inference(avatar_split_clause,[],[f47830,f88895])).
% 58.13/9.53 tff(f88895,plain,(
% 58.13/9.53 spl5880_1993 <=> ! [X0 : $o] : (($true = X0) | ($true != bG953(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1993])])).
% 58.13/9.53 tff(f47830,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG953(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38333])).
% 58.13/9.53 tff(f38333,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG953(X0))) & (($true = bG953(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21718])).
% 58.13/9.53 tff(f21718,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG953(X0)))),
% 58.13/9.53 inference(rectify,[],[f15891])).
% 58.13/9.53 tff(f15891,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG953(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG953])])).
% 58.13/9.53 tff(f88893,plain,(
% 58.13/9.53 spl5880_1992),
% 58.13/9.53 inference(avatar_split_clause,[],[f47828,f88891])).
% 58.13/9.53 tff(f88891,plain,(
% 58.13/9.53 spl5880_1992 <=> ! [X0 : $o] : (($true = X0) | ($true != bG954(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1992])])).
% 58.13/9.53 tff(f47828,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG954(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38332])).
% 58.13/9.53 tff(f38332,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG954(X0))) & (($true = bG954(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21717])).
% 58.13/9.53 tff(f21717,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG954(X0)))),
% 58.13/9.53 inference(rectify,[],[f15892])).
% 58.13/9.53 tff(f15892,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG954(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG954])])).
% 58.13/9.53 tff(f88889,plain,(
% 58.13/9.53 spl5880_1991),
% 58.13/9.53 inference(avatar_split_clause,[],[f47803,f88887])).
% 58.13/9.53 tff(f88887,plain,(
% 58.13/9.53 spl5880_1991 <=> ! [X0 : $o] : (($true = X0) | ($true != bG963(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1991])])).
% 58.13/9.53 tff(f47803,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG963(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38324])).
% 58.13/9.53 tff(f38324,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG963(X0))) & (($true = bG963(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21695])).
% 58.13/9.53 tff(f21695,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG963(X0)))),
% 58.13/9.53 inference(rectify,[],[f15903])).
% 58.13/9.53 tff(f15903,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG963(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG963])])).
% 58.13/9.53 tff(f88885,plain,(
% 58.13/9.53 spl5880_1990),
% 58.13/9.53 inference(avatar_split_clause,[],[f47801,f88883])).
% 58.13/9.53 tff(f88883,plain,(
% 58.13/9.53 spl5880_1990 <=> ! [X0 : $o] : (($true = X0) | ($true != bG964(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1990])])).
% 58.13/9.53 tff(f47801,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG964(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38323])).
% 58.13/9.53 tff(f38323,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG964(X0))) & (($true = bG964(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21694])).
% 58.13/9.53 tff(f21694,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG964(X0)))),
% 58.13/9.53 inference(rectify,[],[f15904])).
% 58.13/9.53 tff(f15904,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG964(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG964])])).
% 58.13/9.53 tff(f88881,plain,(
% 58.13/9.53 spl5880_1989),
% 58.13/9.53 inference(avatar_split_clause,[],[f47799,f88879])).
% 58.13/9.53 tff(f88879,plain,(
% 58.13/9.53 spl5880_1989 <=> ! [X0 : $o] : (($true = X0) | ($true != bG965(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1989])])).
% 58.13/9.53 tff(f47799,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG965(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38322])).
% 58.13/9.53 tff(f38322,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG965(X0))) & (($true = bG965(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21693])).
% 58.13/9.53 tff(f21693,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG965(X0)))),
% 58.13/9.53 inference(rectify,[],[f15905])).
% 58.13/9.53 tff(f15905,plain,(
% 58.13/9.53 ! [X2 : $o] : (($true = X2) <=> ($true = bG965(X2)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG965])])).
% 58.13/9.53 tff(f88877,plain,(
% 58.13/9.53 spl5880_1988 | ~spl5880_453 | ~spl5880_806),
% 58.13/9.53 inference(avatar_split_clause,[],[f85214,f82392,f80708,f88874])).
% 58.13/9.53 tff(f88874,plain,(
% 58.13/9.53 spl5880_1988 <=> sP1950($o)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1988])])).
% 58.13/9.53 tff(f85214,plain,(
% 58.13/9.53 sP1950($o) | (~spl5880_453 | ~spl5880_806)),
% 58.13/9.53 inference(resolution,[],[f82393,f80710])).
% 58.13/9.53 tff(f88872,plain,(
% 58.13/9.53 spl5880_1987),
% 58.13/9.53 inference(avatar_split_clause,[],[f47797,f88870])).
% 58.13/9.53 tff(f88870,plain,(
% 58.13/9.53 spl5880_1987 <=> ! [X0 : $o] : (($true = X0) | ($true != bG966(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1987])])).
% 58.13/9.53 tff(f47797,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG966(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38321])).
% 58.13/9.53 tff(f38321,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG966(X0))) & (($true = bG966(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21692])).
% 58.13/9.53 tff(f21692,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG966(X0)))),
% 58.13/9.53 inference(rectify,[],[f15906])).
% 58.13/9.53 tff(f15906,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG966(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG966])])).
% 58.13/9.53 tff(f88868,plain,(
% 58.13/9.53 spl5880_1986),
% 58.13/9.53 inference(avatar_split_clause,[],[f47757,f88866])).
% 58.13/9.53 tff(f88866,plain,(
% 58.13/9.53 spl5880_1986 <=> ! [X0 : $o] : (($true = X0) | ($true != bG981(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1986])])).
% 58.13/9.53 tff(f47757,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG981(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38309])).
% 58.13/9.53 tff(f38309,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG981(X0))) & (($true = bG981(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21661])).
% 58.13/9.53 tff(f21661,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG981(X0)))),
% 58.13/9.53 inference(rectify,[],[f16585])).
% 58.13/9.53 tff(f16585,plain,(
% 58.13/9.53 ! [X40 : $o] : (($true = X40) <=> ($true = bG981(X40)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG981])])).
% 58.13/9.53 tff(f88864,plain,(
% 58.13/9.53 spl5880_1985),
% 58.13/9.53 inference(avatar_split_clause,[],[f47755,f88862])).
% 58.13/9.53 tff(f88862,plain,(
% 58.13/9.53 spl5880_1985 <=> ! [X0 : $o] : (($true = X0) | ($true != bG982(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1985])])).
% 58.13/9.53 tff(f47755,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG982(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38308])).
% 58.13/9.53 tff(f38308,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG982(X0))) & (($true = bG982(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21660])).
% 58.13/9.53 tff(f21660,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG982(X0)))),
% 58.13/9.53 inference(rectify,[],[f16586])).
% 58.13/9.53 tff(f16586,plain,(
% 58.13/9.53 ! [X41 : $o] : (($true = X41) <=> ($true = bG982(X41)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG982])])).
% 58.13/9.53 tff(f88860,plain,(
% 58.13/9.53 spl5880_1984),
% 58.13/9.53 inference(avatar_split_clause,[],[f47741,f88858])).
% 58.13/9.53 tff(f88858,plain,(
% 58.13/9.53 spl5880_1984 <=> ! [X0 : $o] : (($true = X0) | ($true != bG986(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1984])])).
% 58.13/9.53 tff(f47741,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG986(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38304])).
% 58.13/9.53 tff(f38304,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG986(X0))) & (($true = bG986(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17112])).
% 58.13/9.53 tff(f88856,plain,(
% 58.13/9.53 spl5880_1983),
% 58.13/9.53 inference(avatar_split_clause,[],[f47739,f88854])).
% 58.13/9.53 tff(f88854,plain,(
% 58.13/9.53 spl5880_1983 <=> ! [X0 : $o] : (($true = X0) | ($true != bG987(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1983])])).
% 58.13/9.53 tff(f47739,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG987(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38303])).
% 58.13/9.53 tff(f38303,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG987(X0))) & (($true = bG987(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21653])).
% 58.13/9.53 tff(f21653,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG987(X0)))),
% 58.13/9.53 inference(rectify,[],[f17113])).
% 58.13/9.53 tff(f88852,plain,(
% 58.13/9.53 spl5880_1982),
% 58.13/9.53 inference(avatar_split_clause,[],[f47700,f88850])).
% 58.13/9.53 tff(f88850,plain,(
% 58.13/9.53 spl5880_1982 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1007(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1982])])).
% 58.13/9.53 tff(f47700,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1007(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38301])).
% 58.13/9.53 tff(f38301,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1007(X0))) & (($true = bG1007(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17169])).
% 58.13/9.53 tff(f88848,plain,(
% 58.13/9.53 spl5880_1981),
% 58.13/9.53 inference(avatar_split_clause,[],[f47698,f88846])).
% 58.13/9.53 tff(f88846,plain,(
% 58.13/9.53 spl5880_1981 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1008(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1981])])).
% 58.13/9.53 tff(f47698,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1008(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38300])).
% 58.13/9.53 tff(f38300,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1008(X0))) & (($true = bG1008(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21616])).
% 58.13/9.53 tff(f21616,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1008(X0)))),
% 58.13/9.53 inference(rectify,[],[f17170])).
% 58.13/9.53 tff(f88844,plain,(
% 58.13/9.53 spl5880_1980),
% 58.13/9.53 inference(avatar_split_clause,[],[f47696,f88842])).
% 58.13/9.53 tff(f88842,plain,(
% 58.13/9.53 spl5880_1980 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1009(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1980])])).
% 58.13/9.53 tff(f47696,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1009(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38299])).
% 58.13/9.53 tff(f38299,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1009(X0))) & (($true = bG1009(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17173])).
% 58.13/9.53 tff(f17173,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1009(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1009])])).
% 58.13/9.53 tff(f88840,plain,(
% 58.13/9.53 spl5880_1979),
% 58.13/9.53 inference(avatar_split_clause,[],[f47694,f88838])).
% 58.13/9.53 tff(f88838,plain,(
% 58.13/9.53 spl5880_1979 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1010(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1979])])).
% 58.13/9.53 tff(f47694,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1010(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38298])).
% 58.13/9.53 tff(f38298,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1010(X0))) & (($true = bG1010(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21615])).
% 58.13/9.53 tff(f21615,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1010(X0)))),
% 58.13/9.53 inference(rectify,[],[f17174])).
% 58.13/9.53 tff(f17174,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1010(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1010])])).
% 58.13/9.53 tff(f88836,plain,(
% 58.13/9.53 spl5880_1978),
% 58.13/9.53 inference(avatar_split_clause,[],[f47690,f88834])).
% 58.13/9.53 tff(f88834,plain,(
% 58.13/9.53 spl5880_1978 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1012(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1978])])).
% 58.13/9.53 tff(f47690,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1012(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38297])).
% 58.13/9.53 tff(f38297,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1012(X0))) & (($true = bG1012(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17178])).
% 58.13/9.53 tff(f88832,plain,(
% 58.13/9.53 spl5880_1977 | ~spl5880_208 | ~spl5880_805),
% 58.13/9.53 inference(avatar_split_clause,[],[f85213,f82388,f79483,f88829])).
% 58.13/9.53 tff(f88829,plain,(
% 58.13/9.53 spl5880_1977 <=> sP1942(int)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1977])])).
% 58.13/9.53 tff(f79483,plain,(
% 58.13/9.53 spl5880_208 <=> linordered_idom(int)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_208])])).
% 58.13/9.53 tff(f82388,plain,(
% 58.13/9.53 spl5880_805 <=> ! [X0 : $tType] : (sP1942(X0) | ~linordered_idom(X0))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_805])])).
% 58.13/9.53 tff(f85213,plain,(
% 58.13/9.53 sP1942(int) | (~spl5880_208 | ~spl5880_805)),
% 58.13/9.53 inference(resolution,[],[f82389,f79485])).
% 58.13/9.53 tff(f79485,plain,(
% 58.13/9.53 linordered_idom(int) | ~spl5880_208),
% 58.13/9.53 inference(avatar_component_clause,[],[f79483])).
% 58.13/9.53 tff(f82389,plain,(
% 58.13/9.53 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1942(X0)) ) | ~spl5880_805),
% 58.13/9.53 inference(avatar_component_clause,[],[f82388])).
% 58.13/9.53 tff(f88827,plain,(
% 58.13/9.53 spl5880_1976),
% 58.13/9.53 inference(avatar_split_clause,[],[f47688,f88825])).
% 58.13/9.53 tff(f88825,plain,(
% 58.13/9.53 spl5880_1976 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1013(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1976])])).
% 58.13/9.53 tff(f47688,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1013(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38296])).
% 58.13/9.53 tff(f38296,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1013(X0))) & (($true = bG1013(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21612])).
% 58.13/9.53 tff(f21612,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1013(X0)))),
% 58.13/9.53 inference(rectify,[],[f17179])).
% 58.13/9.53 tff(f88823,plain,(
% 58.13/9.53 spl5880_1975),
% 58.13/9.53 inference(avatar_split_clause,[],[f47686,f88821])).
% 58.13/9.53 tff(f88821,plain,(
% 58.13/9.53 spl5880_1975 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1014(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1975])])).
% 58.13/9.53 tff(f47686,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1014(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38295])).
% 58.13/9.53 tff(f38295,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1014(X0))) & (($true = bG1014(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17182])).
% 58.13/9.53 tff(f88819,plain,(
% 58.13/9.53 spl5880_1974),
% 58.13/9.53 inference(avatar_split_clause,[],[f47684,f88817])).
% 58.13/9.53 tff(f88817,plain,(
% 58.13/9.53 spl5880_1974 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1015(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1974])])).
% 58.13/9.53 tff(f47684,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1015(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38294])).
% 58.13/9.53 tff(f38294,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1015(X0))) & (($true = bG1015(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21611])).
% 58.13/9.53 tff(f21611,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1015(X0)))),
% 58.13/9.53 inference(rectify,[],[f17183])).
% 58.13/9.53 tff(f88815,plain,(
% 58.13/9.53 spl5880_1973),
% 58.13/9.53 inference(avatar_split_clause,[],[f47682,f88813])).
% 58.13/9.53 tff(f88813,plain,(
% 58.13/9.53 spl5880_1973 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1016(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1973])])).
% 58.13/9.53 tff(f47682,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1016(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38293])).
% 58.13/9.53 tff(f38293,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1016(X0))) & (($true = bG1016(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17186])).
% 58.13/9.53 tff(f88811,plain,(
% 58.13/9.53 spl5880_1972),
% 58.13/9.53 inference(avatar_split_clause,[],[f47680,f88809])).
% 58.13/9.53 tff(f88809,plain,(
% 58.13/9.53 spl5880_1972 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1017(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1972])])).
% 58.13/9.53 tff(f47680,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1017(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38292])).
% 58.13/9.53 tff(f38292,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1017(X0))) & (($true = bG1017(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21610])).
% 58.13/9.53 tff(f21610,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1017(X0)))),
% 58.13/9.53 inference(rectify,[],[f17187])).
% 58.13/9.53 tff(f88807,plain,(
% 58.13/9.53 spl5880_1971),
% 58.13/9.53 inference(avatar_split_clause,[],[f47678,f88805])).
% 58.13/9.53 tff(f88805,plain,(
% 58.13/9.53 spl5880_1971 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1018(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1971])])).
% 58.13/9.53 tff(f47678,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1018(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38291])).
% 58.13/9.53 tff(f38291,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1018(X0))) & (($true = bG1018(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17190])).
% 58.13/9.53 tff(f88803,plain,(
% 58.13/9.53 spl5880_1970),
% 58.13/9.53 inference(avatar_split_clause,[],[f47676,f88801])).
% 58.13/9.53 tff(f88801,plain,(
% 58.13/9.53 spl5880_1970 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1019(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1970])])).
% 58.13/9.53 tff(f47676,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1019(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38290])).
% 58.13/9.53 tff(f38290,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1019(X0))) & (($true = bG1019(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21609])).
% 58.13/9.53 tff(f21609,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1019(X0)))),
% 58.13/9.53 inference(rectify,[],[f17191])).
% 58.13/9.53 tff(f88799,plain,(
% 58.13/9.53 spl5880_1969),
% 58.13/9.53 inference(avatar_split_clause,[],[f47672,f88797])).
% 58.13/9.53 tff(f88797,plain,(
% 58.13/9.53 spl5880_1969 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1021(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1969])])).
% 58.13/9.53 tff(f47672,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1021(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38289])).
% 58.13/9.53 tff(f38289,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1021(X0))) & (($true = bG1021(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17195])).
% 58.13/9.53 tff(f17195,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1021(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1021])])).
% 58.13/9.53 tff(f88795,plain,(
% 58.13/9.53 spl5880_1968),
% 58.13/9.53 inference(avatar_split_clause,[],[f47670,f88793])).
% 58.13/9.53 tff(f88793,plain,(
% 58.13/9.53 spl5880_1968 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1022(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1968])])).
% 58.13/9.53 tff(f47670,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1022(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38288])).
% 58.13/9.53 tff(f38288,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1022(X0))) & (($true = bG1022(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21606])).
% 58.13/9.53 tff(f21606,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1022(X0)))),
% 58.13/9.53 inference(rectify,[],[f17196])).
% 58.13/9.53 tff(f17196,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1022(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1022])])).
% 58.13/9.53 tff(f88791,plain,(
% 58.13/9.53 spl5880_1967),
% 58.13/9.53 inference(avatar_split_clause,[],[f47668,f88789])).
% 58.13/9.53 tff(f88789,plain,(
% 58.13/9.53 spl5880_1967 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1023(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1967])])).
% 58.13/9.53 tff(f47668,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1023(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38287])).
% 58.13/9.53 tff(f38287,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1023(X0))) & (($true = bG1023(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17199])).
% 58.13/9.53 tff(f17199,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1023(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1023])])).
% 58.13/9.53 tff(f88787,plain,(
% 58.13/9.53 spl5880_1966 | ~spl5880_206 | ~spl5880_805),
% 58.13/9.53 inference(avatar_split_clause,[],[f85212,f82388,f79473,f88784])).
% 58.13/9.53 tff(f88784,plain,(
% 58.13/9.53 spl5880_1966 <=> sP1942(rat)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1966])])).
% 58.13/9.53 tff(f79473,plain,(
% 58.13/9.53 spl5880_206 <=> linordered_idom(rat)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_206])])).
% 58.13/9.53 tff(f85212,plain,(
% 58.13/9.53 sP1942(rat) | (~spl5880_206 | ~spl5880_805)),
% 58.13/9.53 inference(resolution,[],[f82389,f79475])).
% 58.13/9.53 tff(f79475,plain,(
% 58.13/9.53 linordered_idom(rat) | ~spl5880_206),
% 58.13/9.53 inference(avatar_component_clause,[],[f79473])).
% 58.13/9.53 tff(f88782,plain,(
% 58.13/9.53 spl5880_1965),
% 58.13/9.53 inference(avatar_split_clause,[],[f47666,f88780])).
% 58.13/9.53 tff(f88780,plain,(
% 58.13/9.53 spl5880_1965 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1024(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1965])])).
% 58.13/9.53 tff(f47666,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1024(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38286])).
% 58.13/9.53 tff(f38286,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1024(X0))) & (($true = bG1024(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21605])).
% 58.13/9.53 tff(f21605,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1024(X0)))),
% 58.13/9.53 inference(rectify,[],[f17200])).
% 58.13/9.53 tff(f17200,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1024(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1024])])).
% 58.13/9.53 tff(f88778,plain,(
% 58.13/9.53 spl5880_1964),
% 58.13/9.53 inference(avatar_split_clause,[],[f47662,f88776])).
% 58.13/9.53 tff(f88776,plain,(
% 58.13/9.53 spl5880_1964 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1026(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1964])])).
% 58.13/9.53 tff(f47662,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1026(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38285])).
% 58.13/9.53 tff(f38285,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1026(X0))) & (($true = bG1026(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17204])).
% 58.13/9.53 tff(f88774,plain,(
% 58.13/9.53 spl5880_1963),
% 58.13/9.53 inference(avatar_split_clause,[],[f47660,f88772])).
% 58.13/9.53 tff(f88772,plain,(
% 58.13/9.53 spl5880_1963 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1027(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1963])])).
% 58.13/9.53 tff(f47660,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1027(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38284])).
% 58.13/9.53 tff(f38284,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1027(X0))) & (($true = bG1027(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21602])).
% 58.13/9.53 tff(f21602,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1027(X0)))),
% 58.13/9.53 inference(rectify,[],[f17205])).
% 58.13/9.53 tff(f88770,plain,(
% 58.13/9.53 spl5880_1962),
% 58.13/9.53 inference(avatar_split_clause,[],[f47658,f88768])).
% 58.13/9.53 tff(f88768,plain,(
% 58.13/9.53 spl5880_1962 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1028(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1962])])).
% 58.13/9.53 tff(f47658,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1028(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38283])).
% 58.13/9.53 tff(f38283,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1028(X0))) & (($true = bG1028(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21601])).
% 58.13/9.53 tff(f21601,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1028(X0)))),
% 58.13/9.53 inference(rectify,[],[f17206])).
% 58.13/9.53 tff(f88766,plain,(
% 58.13/9.53 spl5880_1961),
% 58.13/9.53 inference(avatar_split_clause,[],[f47656,f88764])).
% 58.13/9.53 tff(f88764,plain,(
% 58.13/9.53 spl5880_1961 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1029(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1961])])).
% 58.13/9.53 tff(f47656,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1029(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38282])).
% 58.13/9.53 tff(f38282,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1029(X0))) & (($true = bG1029(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17207])).
% 58.13/9.53 tff(f88762,plain,(
% 58.13/9.53 spl5880_1960),
% 58.13/9.53 inference(avatar_split_clause,[],[f47654,f88760])).
% 58.13/9.53 tff(f88760,plain,(
% 58.13/9.53 spl5880_1960 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1030(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1960])])).
% 58.13/9.53 tff(f47654,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1030(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38281])).
% 58.13/9.53 tff(f38281,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1030(X0))) & (($true = bG1030(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17208])).
% 58.13/9.53 tff(f88758,plain,(
% 58.13/9.53 spl5880_1959),
% 58.13/9.53 inference(avatar_split_clause,[],[f47652,f88756])).
% 58.13/9.53 tff(f88756,plain,(
% 58.13/9.53 spl5880_1959 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1031(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1959])])).
% 58.13/9.53 tff(f47652,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1031(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38280])).
% 58.13/9.53 tff(f38280,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1031(X0))) & (($true = bG1031(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21600])).
% 58.13/9.53 tff(f21600,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1031(X0)))),
% 58.13/9.53 inference(rectify,[],[f17209])).
% 58.13/9.53 tff(f88754,plain,(
% 58.13/9.53 spl5880_1958),
% 58.13/9.53 inference(avatar_split_clause,[],[f47646,f88752])).
% 58.13/9.53 tff(f88752,plain,(
% 58.13/9.53 spl5880_1958 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1034(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1958])])).
% 58.13/9.53 tff(f47646,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1034(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38279])).
% 58.13/9.53 tff(f38279,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1034(X0))) & (($true = bG1034(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17214])).
% 58.13/9.53 tff(f88750,plain,(
% 58.13/9.53 spl5880_1957),
% 58.13/9.53 inference(avatar_split_clause,[],[f47644,f88748])).
% 58.13/9.53 tff(f88748,plain,(
% 58.13/9.53 spl5880_1957 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1035(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1957])])).
% 58.13/9.53 tff(f47644,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1035(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38278])).
% 58.13/9.53 tff(f38278,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1035(X0))) & (($true = bG1035(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21595])).
% 58.13/9.53 tff(f21595,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1035(X0)))),
% 58.13/9.53 inference(rectify,[],[f17215])).
% 58.13/9.53 tff(f88746,plain,(
% 58.13/9.53 spl5880_1956),
% 58.13/9.53 inference(avatar_split_clause,[],[f47642,f88744])).
% 58.13/9.53 tff(f88744,plain,(
% 58.13/9.53 spl5880_1956 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1036(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1956])])).
% 58.13/9.53 tff(f47642,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1036(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38277])).
% 58.13/9.53 tff(f38277,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1036(X0))) & (($true = bG1036(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17218])).
% 58.13/9.53 tff(f17218,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1036(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1036])])).
% 58.13/9.53 tff(f88742,plain,(
% 58.13/9.53 spl5880_1955 | ~spl5880_209 | ~spl5880_805),
% 58.13/9.53 inference(avatar_split_clause,[],[f85211,f82388,f79488,f88739])).
% 58.13/9.53 tff(f88739,plain,(
% 58.13/9.53 spl5880_1955 <=> sP1942(real)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1955])])).
% 58.13/9.53 tff(f79488,plain,(
% 58.13/9.53 spl5880_209 <=> linordered_idom(real)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_209])])).
% 58.13/9.53 tff(f85211,plain,(
% 58.13/9.53 sP1942(real) | (~spl5880_209 | ~spl5880_805)),
% 58.13/9.53 inference(resolution,[],[f82389,f79490])).
% 58.13/9.53 tff(f79490,plain,(
% 58.13/9.53 linordered_idom(real) | ~spl5880_209),
% 58.13/9.53 inference(avatar_component_clause,[],[f79488])).
% 58.13/9.53 tff(f88737,plain,(
% 58.13/9.53 spl5880_1954),
% 58.13/9.53 inference(avatar_split_clause,[],[f47640,f88735])).
% 58.13/9.53 tff(f88735,plain,(
% 58.13/9.53 spl5880_1954 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1037(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1954])])).
% 58.13/9.53 tff(f47640,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1037(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38276])).
% 58.13/9.53 tff(f38276,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1037(X0))) & (($true = bG1037(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21594])).
% 58.13/9.53 tff(f21594,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1037(X0)))),
% 58.13/9.53 inference(rectify,[],[f17219])).
% 58.13/9.53 tff(f17219,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1037(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1037])])).
% 58.13/9.53 tff(f88733,plain,(
% 58.13/9.53 spl5880_1953),
% 58.13/9.53 inference(avatar_split_clause,[],[f47634,f88731])).
% 58.13/9.53 tff(f88731,plain,(
% 58.13/9.53 spl5880_1953 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1040(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1953])])).
% 58.13/9.53 tff(f47634,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1040(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38275])).
% 58.13/9.53 tff(f38275,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1040(X0))) & (($true = bG1040(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17224])).
% 58.13/9.53 tff(f17224,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1040(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1040])])).
% 58.13/9.53 tff(f88729,plain,(
% 58.13/9.53 spl5880_1952),
% 58.13/9.53 inference(avatar_split_clause,[],[f47632,f88727])).
% 58.13/9.53 tff(f88727,plain,(
% 58.13/9.53 spl5880_1952 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1041(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1952])])).
% 58.13/9.53 tff(f47632,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1041(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38274])).
% 58.13/9.53 tff(f38274,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1041(X0))) & (($true = bG1041(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21589])).
% 58.13/9.53 tff(f21589,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1041(X0)))),
% 58.13/9.53 inference(rectify,[],[f17225])).
% 58.13/9.53 tff(f17225,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1041(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1041])])).
% 58.13/9.53 tff(f88725,plain,(
% 58.13/9.53 spl5880_1951),
% 58.13/9.53 inference(avatar_split_clause,[],[f47630,f88723])).
% 58.13/9.53 tff(f88723,plain,(
% 58.13/9.53 spl5880_1951 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1042(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1951])])).
% 58.13/9.53 tff(f47630,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1042(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38273])).
% 58.13/9.53 tff(f38273,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1042(X0))) & (($true = bG1042(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17228])).
% 58.13/9.53 tff(f17228,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1042(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1042])])).
% 58.13/9.53 tff(f88721,plain,(
% 58.13/9.53 spl5880_1950),
% 58.13/9.53 inference(avatar_split_clause,[],[f47628,f88719])).
% 58.13/9.53 tff(f88719,plain,(
% 58.13/9.53 spl5880_1950 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1043(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1950])])).
% 58.13/9.53 tff(f47628,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1043(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38272])).
% 58.13/9.53 tff(f38272,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1043(X0))) & (($true = bG1043(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21588])).
% 58.13/9.53 tff(f21588,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1043(X0)))),
% 58.13/9.53 inference(rectify,[],[f17229])).
% 58.13/9.53 tff(f17229,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1043(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1043])])).
% 58.13/9.53 tff(f88717,plain,(
% 58.13/9.53 spl5880_1949),
% 58.13/9.53 inference(avatar_split_clause,[],[f47626,f88715])).
% 58.13/9.53 tff(f88715,plain,(
% 58.13/9.53 spl5880_1949 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1044(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1949])])).
% 58.13/9.53 tff(f47626,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1044(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38271])).
% 58.13/9.53 tff(f38271,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1044(X0))) & (($true = bG1044(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f17230])).
% 58.13/9.53 tff(f17230,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1044(X0)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1044])])).
% 58.13/9.53 tff(f88713,plain,(
% 58.13/9.53 spl5880_1948),
% 58.13/9.53 inference(avatar_split_clause,[],[f47624,f88711])).
% 58.13/9.53 tff(f88711,plain,(
% 58.13/9.53 spl5880_1948 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1045(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1948])])).
% 58.13/9.53 tff(f47624,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1045(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38270])).
% 58.13/9.53 tff(f38270,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1045(X0))) & (($true = bG1045(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21587])).
% 58.13/9.53 tff(f21587,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1045(X0)))),
% 58.13/9.53 inference(rectify,[],[f17231])).
% 58.13/9.53 tff(f17231,plain,(
% 58.13/9.53 ! [X1 : $o] : (($true = X1) <=> ($true = bG1045(X1)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1045])])).
% 58.13/9.53 tff(f88709,plain,(
% 58.13/9.53 spl5880_1947),
% 58.13/9.53 inference(avatar_split_clause,[],[f47620,f88707])).
% 58.13/9.53 tff(f88707,plain,(
% 58.13/9.53 spl5880_1947 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1047(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1947])])).
% 58.13/9.53 tff(f47620,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1047(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38269])).
% 58.13/9.53 tff(f38269,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1047(X0))) & (($true = bG1047(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21584])).
% 58.13/9.53 tff(f21584,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1047(X0)))),
% 58.13/9.53 inference(rectify,[],[f17365])).
% 58.13/9.53 tff(f17365,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1047(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1047])])).
% 58.13/9.53 tff(f88705,plain,(
% 58.13/9.53 spl5880_1946),
% 58.13/9.53 inference(avatar_split_clause,[],[f47618,f88703])).
% 58.13/9.53 tff(f88703,plain,(
% 58.13/9.53 spl5880_1946 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1048(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1946])])).
% 58.13/9.53 tff(f47618,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1048(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38268])).
% 58.13/9.53 tff(f38268,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1048(X0))) & (($true = bG1048(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21583])).
% 58.13/9.53 tff(f21583,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1048(X0)))),
% 58.13/9.53 inference(rectify,[],[f17366])).
% 58.13/9.53 tff(f17366,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1048(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1048])])).
% 58.13/9.53 tff(f88701,plain,(
% 58.13/9.53 spl5880_1945),
% 58.13/9.53 inference(avatar_split_clause,[],[f47602,f88699])).
% 58.13/9.53 tff(f88699,plain,(
% 58.13/9.53 spl5880_1945 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1056(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1945])])).
% 58.13/9.53 tff(f47602,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1056(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38267])).
% 58.13/9.53 tff(f38267,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1056(X0))) & (($true = bG1056(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21570])).
% 58.13/9.53 tff(f21570,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1056(X0)))),
% 58.13/9.53 inference(rectify,[],[f17376])).
% 58.13/9.53 tff(f17376,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1056(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1056])])).
% 58.13/9.53 tff(f88697,plain,(
% 58.13/9.53 spl5880_1944 | ~spl5880_207 | ~spl5880_805),
% 58.13/9.53 inference(avatar_split_clause,[],[f85210,f82388,f79478,f88694])).
% 58.13/9.53 tff(f88694,plain,(
% 58.13/9.53 spl5880_1944 <=> sP1942(code_integer)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1944])])).
% 58.13/9.53 tff(f79478,plain,(
% 58.13/9.53 spl5880_207 <=> linordered_idom(code_integer)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_207])])).
% 58.13/9.53 tff(f85210,plain,(
% 58.13/9.53 sP1942(code_integer) | (~spl5880_207 | ~spl5880_805)),
% 58.13/9.53 inference(resolution,[],[f82389,f79480])).
% 58.13/9.53 tff(f79480,plain,(
% 58.13/9.53 linordered_idom(code_integer) | ~spl5880_207),
% 58.13/9.53 inference(avatar_component_clause,[],[f79478])).
% 58.13/9.53 tff(f88692,plain,(
% 58.13/9.53 spl5880_1943),
% 58.13/9.53 inference(avatar_split_clause,[],[f47600,f88690])).
% 58.13/9.53 tff(f88690,plain,(
% 58.13/9.53 spl5880_1943 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1057(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1943])])).
% 58.13/9.53 tff(f47600,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1057(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38266])).
% 58.13/9.53 tff(f38266,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1057(X0))) & (($true = bG1057(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21569])).
% 58.13/9.53 tff(f21569,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1057(X0)))),
% 58.13/9.53 inference(rectify,[],[f17377])).
% 58.13/9.53 tff(f17377,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1057(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1057])])).
% 58.13/9.53 tff(f88688,plain,(
% 58.13/9.53 spl5880_1942),
% 58.13/9.53 inference(avatar_split_clause,[],[f47598,f88686])).
% 58.13/9.53 tff(f88686,plain,(
% 58.13/9.53 spl5880_1942 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1058(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1942])])).
% 58.13/9.53 tff(f47598,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1058(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38265])).
% 58.13/9.53 tff(f38265,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1058(X0))) & (($true = bG1058(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21568])).
% 58.13/9.53 tff(f21568,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1058(X0)))),
% 58.13/9.53 inference(rectify,[],[f17378])).
% 58.13/9.53 tff(f17378,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1058(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1058])])).
% 58.13/9.53 tff(f88684,plain,(
% 58.13/9.53 spl5880_1941),
% 58.13/9.53 inference(avatar_split_clause,[],[f47596,f88682])).
% 58.13/9.53 tff(f88682,plain,(
% 58.13/9.53 spl5880_1941 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1059(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1941])])).
% 58.13/9.53 tff(f47596,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1059(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38264])).
% 58.13/9.53 tff(f38264,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1059(X0))) & (($true = bG1059(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21567])).
% 58.13/9.53 tff(f21567,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1059(X0)))),
% 58.13/9.53 inference(rectify,[],[f17379])).
% 58.13/9.53 tff(f17379,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1059(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1059])])).
% 58.13/9.53 tff(f88680,plain,(
% 58.13/9.53 spl5880_1940),
% 58.13/9.53 inference(avatar_split_clause,[],[f47580,f88678])).
% 58.13/9.53 tff(f88678,plain,(
% 58.13/9.53 spl5880_1940 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1067(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1940])])).
% 58.13/9.53 tff(f47580,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1067(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38263])).
% 58.13/9.53 tff(f38263,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1067(X0))) & (($true = bG1067(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21554])).
% 58.13/9.53 tff(f21554,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1067(X0)))),
% 58.13/9.53 inference(rectify,[],[f17389])).
% 58.13/9.53 tff(f17389,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1067(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1067])])).
% 58.13/9.53 tff(f88676,plain,(
% 58.13/9.53 spl5880_1939),
% 58.13/9.53 inference(avatar_split_clause,[],[f47578,f88674])).
% 58.13/9.53 tff(f88674,plain,(
% 58.13/9.53 spl5880_1939 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1068(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1939])])).
% 58.13/9.53 tff(f47578,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1068(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38262])).
% 58.13/9.53 tff(f38262,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1068(X0))) & (($true = bG1068(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21553])).
% 58.13/9.53 tff(f21553,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1068(X0)))),
% 58.13/9.53 inference(rectify,[],[f17390])).
% 58.13/9.53 tff(f17390,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1068(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1068])])).
% 58.13/9.53 tff(f88672,plain,(
% 58.13/9.53 spl5880_1938),
% 58.13/9.53 inference(avatar_split_clause,[],[f47563,f88670])).
% 58.13/9.53 tff(f88670,plain,(
% 58.13/9.53 spl5880_1938 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1076(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1938])])).
% 58.13/9.53 tff(f47563,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1076(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38261])).
% 58.13/9.53 tff(f38261,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1076(X0))) & (($true = bG1076(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21539])).
% 58.13/9.53 tff(f21539,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1076(X0)))),
% 58.13/9.53 inference(rectify,[],[f17400])).
% 58.13/9.53 tff(f17400,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1076(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1076])])).
% 58.13/9.53 tff(f88668,plain,(
% 58.13/9.53 spl5880_1937),
% 58.13/9.53 inference(avatar_split_clause,[],[f47561,f88666])).
% 58.13/9.53 tff(f88666,plain,(
% 58.13/9.53 spl5880_1937 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1077(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1937])])).
% 58.13/9.53 tff(f47561,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1077(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38260])).
% 58.13/9.53 tff(f38260,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1077(X0))) & (($true = bG1077(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21538])).
% 58.13/9.53 tff(f21538,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1077(X0)))),
% 58.13/9.53 inference(rectify,[],[f17401])).
% 58.13/9.53 tff(f17401,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1077(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1077])])).
% 58.13/9.53 tff(f88664,plain,(
% 58.13/9.53 spl5880_1936),
% 58.13/9.53 inference(avatar_split_clause,[],[f47557,f88662])).
% 58.13/9.53 tff(f88662,plain,(
% 58.13/9.53 spl5880_1936 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1079(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1936])])).
% 58.13/9.53 tff(f47557,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1079(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38259])).
% 58.13/9.53 tff(f38259,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1079(X0))) & (($true = bG1079(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21535])).
% 58.13/9.53 tff(f21535,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1079(X0)))),
% 58.13/9.53 inference(rectify,[],[f17403])).
% 58.13/9.53 tff(f17403,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1079(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1079])])).
% 58.13/9.53 tff(f88660,plain,(
% 58.13/9.53 spl5880_1935),
% 58.13/9.53 inference(avatar_split_clause,[],[f47555,f88658])).
% 58.13/9.53 tff(f88658,plain,(
% 58.13/9.53 spl5880_1935 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1080(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1935])])).
% 58.13/9.53 tff(f47555,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1080(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38258])).
% 58.13/9.53 tff(f38258,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1080(X0))) & (($true = bG1080(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21534])).
% 58.13/9.53 tff(f21534,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1080(X0)))),
% 58.13/9.53 inference(rectify,[],[f17404])).
% 58.13/9.53 tff(f17404,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1080(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1080])])).
% 58.13/9.53 tff(f88656,plain,(
% 58.13/9.53 spl5880_1934),
% 58.13/9.53 inference(avatar_split_clause,[],[f47542,f88654])).
% 58.13/9.53 tff(f88654,plain,(
% 58.13/9.53 spl5880_1934 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1087(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1934])])).
% 58.13/9.53 tff(f47542,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1087(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38257])).
% 58.13/9.53 tff(f38257,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1087(X0))) & (($true = bG1087(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21522])).
% 58.13/9.53 tff(f21522,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1087(X0)))),
% 58.13/9.53 inference(rectify,[],[f17413])).
% 58.13/9.53 tff(f17413,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1087(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1087])])).
% 58.13/9.53 tff(f88652,plain,(
% 58.13/9.53 spl5880_1933 | ~spl5880_208 | ~spl5880_804),
% 58.13/9.53 inference(avatar_split_clause,[],[f85209,f82384,f79483,f88649])).
% 58.13/9.53 tff(f88649,plain,(
% 58.13/9.53 spl5880_1933 <=> sP1939(int)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1933])])).
% 58.13/9.53 tff(f82384,plain,(
% 58.13/9.53 spl5880_804 <=> ! [X0 : $tType] : (sP1939(X0) | ~linordered_idom(X0))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_804])])).
% 58.13/9.53 tff(f85209,plain,(
% 58.13/9.53 sP1939(int) | (~spl5880_208 | ~spl5880_804)),
% 58.13/9.53 inference(resolution,[],[f82385,f79485])).
% 58.13/9.53 tff(f82385,plain,(
% 58.13/9.53 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1939(X0)) ) | ~spl5880_804),
% 58.13/9.53 inference(avatar_component_clause,[],[f82384])).
% 58.13/9.53 tff(f88647,plain,(
% 58.13/9.53 spl5880_1932),
% 58.13/9.53 inference(avatar_split_clause,[],[f47540,f88645])).
% 58.13/9.53 tff(f88645,plain,(
% 58.13/9.53 spl5880_1932 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1088(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1932])])).
% 58.13/9.53 tff(f47540,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1088(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38256])).
% 58.13/9.53 tff(f38256,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1088(X0))) & (($true = bG1088(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21521])).
% 58.13/9.53 tff(f21521,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1088(X0)))),
% 58.13/9.53 inference(rectify,[],[f17414])).
% 58.13/9.53 tff(f17414,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1088(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1088])])).
% 58.13/9.53 tff(f88643,plain,(
% 58.13/9.53 spl5880_1931),
% 58.13/9.53 inference(avatar_split_clause,[],[f47528,f88641])).
% 58.13/9.53 tff(f88641,plain,(
% 58.13/9.53 spl5880_1931 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1094(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1931])])).
% 58.13/9.53 tff(f47528,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1094(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38255])).
% 58.13/9.53 tff(f38255,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1094(X0))) & (($true = bG1094(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21513])).
% 58.13/9.53 tff(f21513,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1094(X0)))),
% 58.13/9.53 inference(rectify,[],[f17422])).
% 58.13/9.53 tff(f17422,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1094(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1094])])).
% 58.13/9.53 tff(f88639,plain,(
% 58.13/9.53 spl5880_1930),
% 58.13/9.53 inference(avatar_split_clause,[],[f47526,f88637])).
% 58.13/9.53 tff(f88637,plain,(
% 58.13/9.53 spl5880_1930 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1095(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1930])])).
% 58.13/9.53 tff(f47526,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1095(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38254])).
% 58.13/9.53 tff(f38254,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1095(X0))) & (($true = bG1095(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21512])).
% 58.13/9.53 tff(f21512,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1095(X0)))),
% 58.13/9.53 inference(rectify,[],[f17423])).
% 58.13/9.53 tff(f17423,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1095(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1095])])).
% 58.13/9.53 tff(f88635,plain,(
% 58.13/9.53 spl5880_1929),
% 58.13/9.53 inference(avatar_split_clause,[],[f47524,f88633])).
% 58.13/9.53 tff(f88633,plain,(
% 58.13/9.53 spl5880_1929 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1096(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1929])])).
% 58.13/9.53 tff(f47524,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1096(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38253])).
% 58.13/9.53 tff(f38253,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1096(X0))) & (($true = bG1096(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21511])).
% 58.13/9.53 tff(f21511,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1096(X0)))),
% 58.13/9.53 inference(rectify,[],[f17424])).
% 58.13/9.53 tff(f17424,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1096(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1096])])).
% 58.13/9.53 tff(f88631,plain,(
% 58.13/9.53 spl5880_1928),
% 58.13/9.53 inference(avatar_split_clause,[],[f47522,f88629])).
% 58.13/9.53 tff(f88629,plain,(
% 58.13/9.53 spl5880_1928 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1097(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1928])])).
% 58.13/9.53 tff(f47522,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1097(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38252])).
% 58.13/9.53 tff(f38252,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1097(X0))) & (($true = bG1097(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21510])).
% 58.13/9.53 tff(f21510,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1097(X0)))),
% 58.13/9.53 inference(rectify,[],[f17425])).
% 58.13/9.53 tff(f17425,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1097(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1097])])).
% 58.13/9.53 tff(f88627,plain,(
% 58.13/9.53 spl5880_1927),
% 58.13/9.53 inference(avatar_split_clause,[],[f47510,f88625])).
% 58.13/9.53 tff(f88625,plain,(
% 58.13/9.53 spl5880_1927 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1104(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1927])])).
% 58.13/9.53 tff(f47510,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1104(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38251])).
% 58.13/9.53 tff(f38251,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1104(X0))) & (($true = bG1104(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21501])).
% 58.13/9.53 tff(f21501,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1104(X0)))),
% 58.13/9.53 inference(rectify,[],[f17434])).
% 58.13/9.53 tff(f17434,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1104(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1104])])).
% 58.13/9.53 tff(f88623,plain,(
% 58.13/9.53 spl5880_1926),
% 58.13/9.53 inference(avatar_split_clause,[],[f47508,f88621])).
% 58.13/9.53 tff(f88621,plain,(
% 58.13/9.53 spl5880_1926 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1105(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1926])])).
% 58.13/9.53 tff(f47508,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1105(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38250])).
% 58.13/9.53 tff(f38250,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1105(X0))) & (($true = bG1105(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21500])).
% 58.13/9.53 tff(f21500,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1105(X0)))),
% 58.13/9.53 inference(rectify,[],[f17435])).
% 58.13/9.53 tff(f17435,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1105(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1105])])).
% 58.13/9.53 tff(f88619,plain,(
% 58.13/9.53 spl5880_1925),
% 58.13/9.53 inference(avatar_split_clause,[],[f47506,f88617])).
% 58.13/9.53 tff(f88617,plain,(
% 58.13/9.53 spl5880_1925 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1106(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1925])])).
% 58.13/9.53 tff(f47506,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1106(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38249])).
% 58.13/9.53 tff(f38249,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1106(X0))) & (($true = bG1106(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21499])).
% 58.13/9.53 tff(f21499,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1106(X0)))),
% 58.13/9.53 inference(rectify,[],[f17436])).
% 58.13/9.53 tff(f17436,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1106(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1106])])).
% 58.13/9.53 tff(f88615,plain,(
% 58.13/9.53 spl5880_1924),
% 58.13/9.53 inference(avatar_split_clause,[],[f47504,f88613])).
% 58.13/9.53 tff(f88613,plain,(
% 58.13/9.53 spl5880_1924 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1107(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1924])])).
% 58.13/9.53 tff(f47504,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1107(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38248])).
% 58.13/9.53 tff(f38248,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1107(X0))) & (($true = bG1107(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21498])).
% 58.13/9.53 tff(f21498,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1107(X0)))),
% 58.13/9.53 inference(rectify,[],[f17437])).
% 58.13/9.53 tff(f17437,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1107(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1107])])).
% 58.13/9.53 tff(f88611,plain,(
% 58.13/9.53 spl5880_1923),
% 58.13/9.53 inference(avatar_split_clause,[],[f47489,f88609])).
% 58.13/9.53 tff(f88609,plain,(
% 58.13/9.53 spl5880_1923 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1116(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1923])])).
% 58.13/9.53 tff(f47489,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1116(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38247])).
% 58.13/9.53 tff(f38247,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1116(X0))) & (($true = bG1116(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21486])).
% 58.13/9.53 tff(f21486,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1116(X0)))),
% 58.13/9.53 inference(rectify,[],[f17448])).
% 58.13/9.53 tff(f17448,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1116(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1116])])).
% 58.13/9.53 tff(f88607,plain,(
% 58.13/9.53 spl5880_1922 | ~spl5880_206 | ~spl5880_804),
% 58.13/9.53 inference(avatar_split_clause,[],[f85208,f82384,f79473,f88604])).
% 58.13/9.53 tff(f88604,plain,(
% 58.13/9.53 spl5880_1922 <=> sP1939(rat)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1922])])).
% 58.13/9.53 tff(f85208,plain,(
% 58.13/9.53 sP1939(rat) | (~spl5880_206 | ~spl5880_804)),
% 58.13/9.53 inference(resolution,[],[f82385,f79475])).
% 58.13/9.53 tff(f88602,plain,(
% 58.13/9.53 spl5880_1921),
% 58.13/9.53 inference(avatar_split_clause,[],[f47487,f88600])).
% 58.13/9.53 tff(f88600,plain,(
% 58.13/9.53 spl5880_1921 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1117(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1921])])).
% 58.13/9.53 tff(f47487,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1117(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38246])).
% 58.13/9.53 tff(f38246,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1117(X0))) & (($true = bG1117(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21485])).
% 58.13/9.53 tff(f21485,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1117(X0)))),
% 58.13/9.53 inference(rectify,[],[f17449])).
% 58.13/9.53 tff(f17449,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1117(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1117])])).
% 58.13/9.53 tff(f88598,plain,(
% 58.13/9.53 spl5880_1920),
% 58.13/9.53 inference(avatar_split_clause,[],[f47485,f88596])).
% 58.13/9.53 tff(f88596,plain,(
% 58.13/9.53 spl5880_1920 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1118(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1920])])).
% 58.13/9.53 tff(f47485,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1118(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38245])).
% 58.13/9.53 tff(f38245,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1118(X0))) & (($true = bG1118(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21484])).
% 58.13/9.53 tff(f21484,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1118(X0)))),
% 58.13/9.53 inference(rectify,[],[f17450])).
% 58.13/9.53 tff(f17450,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1118(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1118])])).
% 58.13/9.53 tff(f88594,plain,(
% 58.13/9.53 spl5880_1919),
% 58.13/9.53 inference(avatar_split_clause,[],[f47483,f88592])).
% 58.13/9.53 tff(f88592,plain,(
% 58.13/9.53 spl5880_1919 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1119(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1919])])).
% 58.13/9.53 tff(f47483,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1119(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38244])).
% 58.13/9.53 tff(f38244,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1119(X0))) & (($true = bG1119(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21483])).
% 58.13/9.53 tff(f21483,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1119(X0)))),
% 58.13/9.53 inference(rectify,[],[f17451])).
% 58.13/9.53 tff(f17451,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1119(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1119])])).
% 58.13/9.53 tff(f88590,plain,(
% 58.13/9.53 spl5880_1918),
% 58.13/9.53 inference(avatar_split_clause,[],[f47471,f88588])).
% 58.13/9.53 tff(f88588,plain,(
% 58.13/9.53 spl5880_1918 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1125(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1918])])).
% 58.13/9.53 tff(f47471,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1125(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38243])).
% 58.13/9.53 tff(f38243,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1125(X0))) & (($true = bG1125(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21475])).
% 58.13/9.53 tff(f21475,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1125(X0)))),
% 58.13/9.53 inference(rectify,[],[f17459])).
% 58.13/9.53 tff(f17459,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1125(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1125])])).
% 58.13/9.53 tff(f88586,plain,(
% 58.13/9.53 spl5880_1917),
% 58.13/9.53 inference(avatar_split_clause,[],[f47469,f88584])).
% 58.13/9.53 tff(f88584,plain,(
% 58.13/9.53 spl5880_1917 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1126(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1917])])).
% 58.13/9.53 tff(f47469,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1126(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38242])).
% 58.13/9.53 tff(f38242,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1126(X0))) & (($true = bG1126(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21474])).
% 58.13/9.53 tff(f21474,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1126(X0)))),
% 58.13/9.53 inference(rectify,[],[f17460])).
% 58.13/9.53 tff(f17460,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1126(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1126])])).
% 58.13/9.53 tff(f88582,plain,(
% 58.13/9.53 spl5880_1916),
% 58.13/9.53 inference(avatar_split_clause,[],[f47467,f88580])).
% 58.13/9.53 tff(f88580,plain,(
% 58.13/9.53 spl5880_1916 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1127(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1916])])).
% 58.13/9.53 tff(f47467,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1127(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38241])).
% 58.13/9.53 tff(f38241,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1127(X0))) & (($true = bG1127(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21473])).
% 58.13/9.53 tff(f21473,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1127(X0)))),
% 58.13/9.53 inference(rectify,[],[f17461])).
% 58.13/9.53 tff(f17461,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1127(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1127])])).
% 58.13/9.53 tff(f88578,plain,(
% 58.13/9.53 spl5880_1915),
% 58.13/9.53 inference(avatar_split_clause,[],[f47465,f88576])).
% 58.13/9.53 tff(f88576,plain,(
% 58.13/9.53 spl5880_1915 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1128(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1915])])).
% 58.13/9.53 tff(f47465,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1128(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38240])).
% 58.13/9.53 tff(f38240,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1128(X0))) & (($true = bG1128(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21472])).
% 58.13/9.53 tff(f21472,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1128(X0)))),
% 58.13/9.53 inference(rectify,[],[f17462])).
% 58.13/9.53 tff(f17462,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1128(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1128])])).
% 58.13/9.53 tff(f88574,plain,(
% 58.13/9.53 spl5880_1914),
% 58.13/9.53 inference(avatar_split_clause,[],[f47463,f88572])).
% 58.13/9.53 tff(f88572,plain,(
% 58.13/9.53 spl5880_1914 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1129(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1914])])).
% 58.13/9.53 tff(f47463,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1129(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38239])).
% 58.13/9.53 tff(f38239,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1129(X0))) & (($true = bG1129(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21471])).
% 58.13/9.53 tff(f21471,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1129(X0)))),
% 58.13/9.53 inference(rectify,[],[f17463])).
% 58.13/9.53 tff(f17463,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1129(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1129])])).
% 58.13/9.53 tff(f88570,plain,(
% 58.13/9.53 spl5880_1913),
% 58.13/9.53 inference(avatar_split_clause,[],[f47461,f88568])).
% 58.13/9.53 tff(f88568,plain,(
% 58.13/9.53 spl5880_1913 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1130(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1913])])).
% 58.13/9.53 tff(f47461,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1130(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38238])).
% 58.13/9.53 tff(f38238,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1130(X0))) & (($true = bG1130(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21470])).
% 58.13/9.53 tff(f21470,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1130(X0)))),
% 58.13/9.53 inference(rectify,[],[f17464])).
% 58.13/9.53 tff(f17464,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1130(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1130])])).
% 58.13/9.53 tff(f88566,plain,(
% 58.13/9.53 spl5880_1912),
% 58.13/9.53 inference(avatar_split_clause,[],[f47459,f88564])).
% 58.13/9.53 tff(f88564,plain,(
% 58.13/9.53 spl5880_1912 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1131(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1912])])).
% 58.13/9.53 tff(f47459,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1131(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38237])).
% 58.13/9.53 tff(f38237,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1131(X0))) & (($true = bG1131(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21469])).
% 58.13/9.53 tff(f21469,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1131(X0)))),
% 58.13/9.53 inference(rectify,[],[f17465])).
% 58.13/9.53 tff(f17465,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1131(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1131])])).
% 58.13/9.53 tff(f88562,plain,(
% 58.13/9.53 spl5880_1911 | ~spl5880_209 | ~spl5880_804),
% 58.13/9.53 inference(avatar_split_clause,[],[f85207,f82384,f79488,f88559])).
% 58.13/9.53 tff(f88559,plain,(
% 58.13/9.53 spl5880_1911 <=> sP1939(real)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1911])])).
% 58.13/9.53 tff(f85207,plain,(
% 58.13/9.53 sP1939(real) | (~spl5880_209 | ~spl5880_804)),
% 58.13/9.53 inference(resolution,[],[f82385,f79490])).
% 58.13/9.53 tff(f88557,plain,(
% 58.13/9.53 spl5880_1910),
% 58.13/9.53 inference(avatar_split_clause,[],[f47457,f88555])).
% 58.13/9.53 tff(f88555,plain,(
% 58.13/9.53 spl5880_1910 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1132(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1910])])).
% 58.13/9.53 tff(f47457,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1132(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38236])).
% 58.13/9.53 tff(f38236,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1132(X0))) & (($true = bG1132(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21468])).
% 58.13/9.53 tff(f21468,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1132(X0)))),
% 58.13/9.53 inference(rectify,[],[f17466])).
% 58.13/9.53 tff(f17466,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1132(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1132])])).
% 58.13/9.53 tff(f88553,plain,(
% 58.13/9.53 spl5880_1909),
% 58.13/9.53 inference(avatar_split_clause,[],[f47445,f88551])).
% 58.13/9.53 tff(f88551,plain,(
% 58.13/9.53 spl5880_1909 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1139(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1909])])).
% 58.13/9.53 tff(f47445,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1139(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38235])).
% 58.13/9.53 tff(f38235,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1139(X0))) & (($true = bG1139(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21459])).
% 58.13/9.53 tff(f21459,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1139(X0)))),
% 58.13/9.53 inference(rectify,[],[f17475])).
% 58.13/9.53 tff(f17475,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1139(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1139])])).
% 58.13/9.53 tff(f88549,plain,(
% 58.13/9.53 spl5880_1908),
% 58.13/9.53 inference(avatar_split_clause,[],[f47443,f88547])).
% 58.13/9.53 tff(f88547,plain,(
% 58.13/9.53 spl5880_1908 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1140(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1908])])).
% 58.13/9.53 tff(f47443,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1140(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38234])).
% 58.13/9.53 tff(f38234,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1140(X0))) & (($true = bG1140(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21458])).
% 58.13/9.53 tff(f21458,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1140(X0)))),
% 58.13/9.53 inference(rectify,[],[f17476])).
% 58.13/9.53 tff(f17476,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1140(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1140])])).
% 58.13/9.53 tff(f88545,plain,(
% 58.13/9.53 spl5880_1907),
% 58.13/9.53 inference(avatar_split_clause,[],[f47441,f88543])).
% 58.13/9.53 tff(f88543,plain,(
% 58.13/9.53 spl5880_1907 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1141(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1907])])).
% 58.13/9.53 tff(f47441,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1141(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38233])).
% 58.13/9.53 tff(f38233,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1141(X0))) & (($true = bG1141(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21457])).
% 58.13/9.53 tff(f21457,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1141(X0)))),
% 58.13/9.53 inference(rectify,[],[f17477])).
% 58.13/9.53 tff(f17477,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1141(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1141])])).
% 58.13/9.53 tff(f88541,plain,(
% 58.13/9.53 spl5880_1906),
% 58.13/9.53 inference(avatar_split_clause,[],[f47439,f88539])).
% 58.13/9.53 tff(f88539,plain,(
% 58.13/9.53 spl5880_1906 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1142(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1906])])).
% 58.13/9.53 tff(f47439,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1142(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38232])).
% 58.13/9.53 tff(f38232,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1142(X0))) & (($true = bG1142(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21456])).
% 58.13/9.53 tff(f21456,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1142(X0)))),
% 58.13/9.53 inference(rectify,[],[f17478])).
% 58.13/9.53 tff(f17478,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1142(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1142])])).
% 58.13/9.53 tff(f88537,plain,(
% 58.13/9.53 spl5880_1905),
% 58.13/9.53 inference(avatar_split_clause,[],[f47437,f88535])).
% 58.13/9.53 tff(f88535,plain,(
% 58.13/9.53 spl5880_1905 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1143(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1905])])).
% 58.13/9.53 tff(f47437,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1143(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38231])).
% 58.13/9.53 tff(f38231,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1143(X0))) & (($true = bG1143(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21455])).
% 58.13/9.53 tff(f21455,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1143(X0)))),
% 58.13/9.53 inference(rectify,[],[f17479])).
% 58.13/9.53 tff(f17479,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1143(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1143])])).
% 58.13/9.53 tff(f88533,plain,(
% 58.13/9.53 spl5880_1904),
% 58.13/9.53 inference(avatar_split_clause,[],[f47435,f88531])).
% 58.13/9.53 tff(f88531,plain,(
% 58.13/9.53 spl5880_1904 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1144(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1904])])).
% 58.13/9.53 tff(f47435,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1144(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38230])).
% 58.13/9.53 tff(f38230,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1144(X0))) & (($true = bG1144(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21454])).
% 58.13/9.53 tff(f21454,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1144(X0)))),
% 58.13/9.53 inference(rectify,[],[f17480])).
% 58.13/9.53 tff(f17480,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1144(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1144])])).
% 58.13/9.53 tff(f88529,plain,(
% 58.13/9.53 spl5880_1903),
% 58.13/9.53 inference(avatar_split_clause,[],[f47433,f88527])).
% 58.13/9.53 tff(f88527,plain,(
% 58.13/9.53 spl5880_1903 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1145(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1903])])).
% 58.13/9.53 tff(f47433,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1145(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38229])).
% 58.13/9.53 tff(f38229,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1145(X0))) & (($true = bG1145(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21453])).
% 58.13/9.53 tff(f21453,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1145(X0)))),
% 58.13/9.53 inference(rectify,[],[f17481])).
% 58.13/9.53 tff(f17481,plain,(
% 58.13/9.53 ! [X5 : $o] : (($true = X5) <=> ($true = bG1145(X5)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1145])])).
% 58.13/9.53 tff(f88525,plain,(
% 58.13/9.53 spl5880_1902),
% 58.13/9.53 inference(avatar_split_clause,[],[f47431,f88523])).
% 58.13/9.53 tff(f88523,plain,(
% 58.13/9.53 spl5880_1902 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1146(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1902])])).
% 58.13/9.53 tff(f47431,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1146(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38228])).
% 58.13/9.53 tff(f38228,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1146(X0))) & (($true = bG1146(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21452])).
% 58.13/9.53 tff(f21452,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1146(X0)))),
% 58.13/9.53 inference(rectify,[],[f17482])).
% 58.13/9.53 tff(f17482,plain,(
% 58.13/9.53 ! [X6 : $o] : (($true = X6) <=> ($true = bG1146(X6)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1146])])).
% 58.13/9.53 tff(f88521,plain,(
% 58.13/9.53 spl5880_1901),
% 58.13/9.53 inference(avatar_split_clause,[],[f47416,f88519])).
% 58.13/9.53 tff(f88519,plain,(
% 58.13/9.53 spl5880_1901 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1155(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1901])])).
% 58.13/9.53 tff(f47416,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1155(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38227])).
% 58.13/9.53 tff(f38227,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1155(X0))) & (($true = bG1155(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21440])).
% 58.13/9.53 tff(f21440,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1155(X0)))),
% 58.13/9.53 inference(rectify,[],[f17493])).
% 58.13/9.53 tff(f17493,plain,(
% 58.13/9.53 ! [X3 : $o] : (($true = X3) <=> ($true = bG1155(X3)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1155])])).
% 58.13/9.53 tff(f88517,plain,(
% 58.13/9.53 spl5880_1900 | ~spl5880_207 | ~spl5880_804),
% 58.13/9.53 inference(avatar_split_clause,[],[f85206,f82384,f79478,f88514])).
% 58.13/9.53 tff(f88514,plain,(
% 58.13/9.53 spl5880_1900 <=> sP1939(code_integer)),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1900])])).
% 58.13/9.53 tff(f85206,plain,(
% 58.13/9.53 sP1939(code_integer) | (~spl5880_207 | ~spl5880_804)),
% 58.13/9.53 inference(resolution,[],[f82385,f79480])).
% 58.13/9.53 tff(f88512,plain,(
% 58.13/9.53 spl5880_1899),
% 58.13/9.53 inference(avatar_split_clause,[],[f47414,f88510])).
% 58.13/9.53 tff(f88510,plain,(
% 58.13/9.53 spl5880_1899 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1156(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1899])])).
% 58.13/9.53 tff(f47414,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1156(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38226])).
% 58.13/9.53 tff(f38226,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1156(X0))) & (($true = bG1156(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21439])).
% 58.13/9.53 tff(f21439,plain,(
% 58.13/9.53 ! [X0 : $o] : (($true = X0) <=> ($true = bG1156(X0)))),
% 58.13/9.53 inference(rectify,[],[f17494])).
% 58.13/9.53 tff(f17494,plain,(
% 58.13/9.53 ! [X4 : $o] : (($true = X4) <=> ($true = bG1156(X4)))),
% 58.13/9.53 introduced(fool_formula_definition,[new_symbols(definition,[bG1156])])).
% 58.13/9.53 tff(f88508,plain,(
% 58.13/9.53 spl5880_1898),
% 58.13/9.53 inference(avatar_split_clause,[],[f47400,f88506])).
% 58.13/9.53 tff(f88506,plain,(
% 58.13/9.53 spl5880_1898 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1163(X0)))),
% 58.13/9.53 introduced(avatar_definition,[new_symbols(naming,[spl5880_1898])])).
% 58.13/9.53 tff(f47400,plain,(
% 58.13/9.53 ( ! [X0 : $o] : (($true = X0) | ($true != bG1163(X0))) )),
% 58.13/9.53 inference(cnf_transformation,[],[f38225])).
% 58.13/9.53 tff(f38225,plain,(
% 58.13/9.53 ! [X0 : $o] : ((($true = X0) | ($true != bG1163(X0))) & (($true = bG1163(X0)) | ($true != X0)))),
% 58.13/9.53 inference(nnf_transformation,[],[f21429])).
% 58.13/9.54 tff(f21429,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1163(X0)))),
% 58.13/9.54 inference(rectify,[],[f17503])).
% 58.13/9.54 tff(f17503,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1163(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1163])])).
% 58.13/9.54 tff(f88504,plain,(
% 58.13/9.54 spl5880_1897),
% 58.13/9.54 inference(avatar_split_clause,[],[f47398,f88502])).
% 58.13/9.54 tff(f88502,plain,(
% 58.13/9.54 spl5880_1897 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1164(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1897])])).
% 58.13/9.54 tff(f47398,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1164(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38224])).
% 58.13/9.54 tff(f38224,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1164(X0))) & (($true = bG1164(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21428])).
% 58.13/9.54 tff(f21428,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1164(X0)))),
% 58.13/9.54 inference(rectify,[],[f17504])).
% 58.13/9.54 tff(f17504,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1164(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1164])])).
% 58.13/9.54 tff(f88500,plain,(
% 58.13/9.54 spl5880_1896),
% 58.13/9.54 inference(avatar_split_clause,[],[f47396,f88498])).
% 58.13/9.54 tff(f88498,plain,(
% 58.13/9.54 spl5880_1896 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1165(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1896])])).
% 58.13/9.54 tff(f47396,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1165(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38223])).
% 58.13/9.54 tff(f38223,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1165(X0))) & (($true = bG1165(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21427])).
% 58.13/9.54 tff(f21427,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1165(X0)))),
% 58.13/9.54 inference(rectify,[],[f17505])).
% 58.13/9.54 tff(f17505,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1165(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1165])])).
% 58.13/9.54 tff(f88496,plain,(
% 58.13/9.54 spl5880_1895),
% 58.13/9.54 inference(avatar_split_clause,[],[f47394,f88494])).
% 58.13/9.54 tff(f88494,plain,(
% 58.13/9.54 spl5880_1895 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1166(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1895])])).
% 58.13/9.54 tff(f47394,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1166(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38222])).
% 58.13/9.54 tff(f38222,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1166(X0))) & (($true = bG1166(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21426])).
% 58.13/9.54 tff(f21426,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1166(X0)))),
% 58.13/9.54 inference(rectify,[],[f17506])).
% 58.13/9.54 tff(f17506,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1166(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1166])])).
% 58.13/9.54 tff(f88492,plain,(
% 58.13/9.54 spl5880_1894),
% 58.13/9.54 inference(avatar_split_clause,[],[f47392,f88490])).
% 58.13/9.54 tff(f88490,plain,(
% 58.13/9.54 spl5880_1894 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1167(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1894])])).
% 58.13/9.54 tff(f47392,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1167(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38221])).
% 58.13/9.54 tff(f38221,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1167(X0))) & (($true = bG1167(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21425])).
% 58.13/9.54 tff(f21425,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1167(X0)))),
% 58.13/9.54 inference(rectify,[],[f17507])).
% 58.13/9.54 tff(f17507,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1167(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1167])])).
% 58.13/9.54 tff(f88488,plain,(
% 58.13/9.54 spl5880_1893),
% 58.13/9.54 inference(avatar_split_clause,[],[f47390,f88486])).
% 58.13/9.54 tff(f88486,plain,(
% 58.13/9.54 spl5880_1893 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1168(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1893])])).
% 58.13/9.54 tff(f47390,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1168(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38220])).
% 58.13/9.54 tff(f38220,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1168(X0))) & (($true = bG1168(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21424])).
% 58.13/9.54 tff(f21424,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1168(X0)))),
% 58.13/9.54 inference(rectify,[],[f17508])).
% 58.13/9.54 tff(f17508,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1168(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1168])])).
% 58.13/9.54 tff(f88484,plain,(
% 58.13/9.54 spl5880_1892),
% 58.13/9.54 inference(avatar_split_clause,[],[f47378,f88482])).
% 58.13/9.54 tff(f88482,plain,(
% 58.13/9.54 spl5880_1892 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1175(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1892])])).
% 58.13/9.54 tff(f47378,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1175(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38219])).
% 58.13/9.54 tff(f38219,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1175(X0))) & (($true = bG1175(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21415])).
% 58.13/9.54 tff(f21415,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1175(X0)))),
% 58.13/9.54 inference(rectify,[],[f17517])).
% 58.13/9.54 tff(f17517,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1175(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1175])])).
% 58.13/9.54 tff(f88480,plain,(
% 58.13/9.54 spl5880_1891),
% 58.13/9.54 inference(avatar_split_clause,[],[f47376,f88478])).
% 58.13/9.54 tff(f88478,plain,(
% 58.13/9.54 spl5880_1891 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1176(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1891])])).
% 58.13/9.54 tff(f47376,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1176(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38218])).
% 58.13/9.54 tff(f38218,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1176(X0))) & (($true = bG1176(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21414])).
% 58.13/9.54 tff(f21414,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1176(X0)))),
% 58.13/9.54 inference(rectify,[],[f17518])).
% 58.13/9.54 tff(f17518,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1176(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1176])])).
% 58.13/9.54 tff(f88476,plain,(
% 58.13/9.54 spl5880_1890),
% 58.13/9.54 inference(avatar_split_clause,[],[f47374,f88474])).
% 58.13/9.54 tff(f88474,plain,(
% 58.13/9.54 spl5880_1890 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1177(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1890])])).
% 58.13/9.54 tff(f47374,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1177(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38217])).
% 58.13/9.54 tff(f38217,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1177(X0))) & (($true = bG1177(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21413])).
% 58.13/9.54 tff(f21413,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1177(X0)))),
% 58.13/9.54 inference(rectify,[],[f17519])).
% 58.13/9.54 tff(f17519,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1177(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1177])])).
% 58.13/9.54 tff(f88472,plain,(
% 58.13/9.54 spl5880_1889 | ~spl5880_208 | ~spl5880_803),
% 58.13/9.54 inference(avatar_split_clause,[],[f85205,f82380,f79483,f88469])).
% 58.13/9.54 tff(f88469,plain,(
% 58.13/9.54 spl5880_1889 <=> sP1937(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1889])])).
% 58.13/9.54 tff(f82380,plain,(
% 58.13/9.54 spl5880_803 <=> ! [X0 : $tType] : (sP1937(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_803])])).
% 58.13/9.54 tff(f85205,plain,(
% 58.13/9.54 sP1937(int) | (~spl5880_208 | ~spl5880_803)),
% 58.13/9.54 inference(resolution,[],[f82381,f79485])).
% 58.13/9.54 tff(f82381,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1937(X0)) ) | ~spl5880_803),
% 58.13/9.54 inference(avatar_component_clause,[],[f82380])).
% 58.13/9.54 tff(f88467,plain,(
% 58.13/9.54 spl5880_1888),
% 58.13/9.54 inference(avatar_split_clause,[],[f47372,f88465])).
% 58.13/9.54 tff(f88465,plain,(
% 58.13/9.54 spl5880_1888 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1178(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1888])])).
% 58.13/9.54 tff(f47372,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1178(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38216])).
% 58.13/9.54 tff(f38216,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1178(X0))) & (($true = bG1178(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21412])).
% 58.13/9.54 tff(f21412,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1178(X0)))),
% 58.13/9.54 inference(rectify,[],[f17520])).
% 58.13/9.54 tff(f17520,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1178(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1178])])).
% 58.13/9.54 tff(f88463,plain,(
% 58.13/9.54 spl5880_1887),
% 58.13/9.54 inference(avatar_split_clause,[],[f47370,f88461])).
% 58.13/9.54 tff(f88461,plain,(
% 58.13/9.54 spl5880_1887 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1179(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1887])])).
% 58.13/9.54 tff(f47370,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1179(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38215])).
% 58.13/9.54 tff(f38215,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1179(X0))) & (($true = bG1179(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21411])).
% 58.13/9.54 tff(f21411,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1179(X0)))),
% 58.13/9.54 inference(rectify,[],[f17521])).
% 58.13/9.54 tff(f17521,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1179(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1179])])).
% 58.13/9.54 tff(f88459,plain,(
% 58.13/9.54 spl5880_1886),
% 58.13/9.54 inference(avatar_split_clause,[],[f47368,f88457])).
% 58.13/9.54 tff(f88457,plain,(
% 58.13/9.54 spl5880_1886 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1180(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1886])])).
% 58.13/9.54 tff(f47368,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1180(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38214])).
% 58.13/9.54 tff(f38214,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1180(X0))) & (($true = bG1180(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21410])).
% 58.13/9.54 tff(f21410,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1180(X0)))),
% 58.13/9.54 inference(rectify,[],[f17522])).
% 58.13/9.54 tff(f17522,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1180(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1180])])).
% 58.13/9.54 tff(f88455,plain,(
% 58.13/9.54 spl5880_1885),
% 58.13/9.54 inference(avatar_split_clause,[],[f47351,f88453])).
% 58.13/9.54 tff(f88453,plain,(
% 58.13/9.54 spl5880_1885 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1190(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1885])])).
% 58.13/9.54 tff(f47351,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1190(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38213])).
% 58.13/9.54 tff(f38213,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1190(X0))) & (($true = bG1190(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21396])).
% 58.13/9.54 tff(f21396,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1190(X0)))),
% 58.13/9.54 inference(rectify,[],[f17534])).
% 58.13/9.54 tff(f17534,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1190(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1190])])).
% 58.13/9.54 tff(f88451,plain,(
% 58.13/9.54 spl5880_1884),
% 58.13/9.54 inference(avatar_split_clause,[],[f47349,f88449])).
% 58.13/9.54 tff(f88449,plain,(
% 58.13/9.54 spl5880_1884 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1191(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1884])])).
% 58.13/9.54 tff(f47349,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1191(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38212])).
% 58.13/9.54 tff(f38212,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1191(X0))) & (($true = bG1191(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21395])).
% 58.13/9.54 tff(f21395,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1191(X0)))),
% 58.13/9.54 inference(rectify,[],[f17535])).
% 58.13/9.54 tff(f17535,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1191(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1191])])).
% 58.13/9.54 tff(f88447,plain,(
% 58.13/9.54 spl5880_1883),
% 58.13/9.54 inference(avatar_split_clause,[],[f47345,f88445])).
% 58.13/9.54 tff(f88445,plain,(
% 58.13/9.54 spl5880_1883 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1193(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1883])])).
% 58.13/9.54 tff(f47345,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1193(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38211])).
% 58.13/9.54 tff(f38211,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1193(X0))) & (($true = bG1193(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21392])).
% 58.13/9.54 tff(f21392,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1193(X0)))),
% 58.13/9.54 inference(rectify,[],[f17537])).
% 58.13/9.54 tff(f17537,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1193(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1193])])).
% 58.13/9.54 tff(f88443,plain,(
% 58.13/9.54 spl5880_1882),
% 58.13/9.54 inference(avatar_split_clause,[],[f47343,f88441])).
% 58.13/9.54 tff(f88441,plain,(
% 58.13/9.54 spl5880_1882 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1194(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1882])])).
% 58.13/9.54 tff(f47343,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1194(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38210])).
% 58.13/9.54 tff(f38210,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1194(X0))) & (($true = bG1194(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21391])).
% 58.13/9.54 tff(f21391,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1194(X0)))),
% 58.13/9.54 inference(rectify,[],[f17538])).
% 58.13/9.54 tff(f17538,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1194(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1194])])).
% 58.13/9.54 tff(f88439,plain,(
% 58.13/9.54 spl5880_1881),
% 58.13/9.54 inference(avatar_split_clause,[],[f47331,f88437])).
% 58.13/9.54 tff(f88437,plain,(
% 58.13/9.54 spl5880_1881 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1200(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1881])])).
% 58.13/9.54 tff(f47331,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1200(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38209])).
% 58.13/9.54 tff(f38209,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1200(X0))) & (($true = bG1200(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21383])).
% 58.13/9.54 tff(f21383,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1200(X0)))),
% 58.13/9.54 inference(rectify,[],[f17546])).
% 58.13/9.54 tff(f17546,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1200(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1200])])).
% 58.13/9.54 tff(f88435,plain,(
% 58.13/9.54 spl5880_1880),
% 58.13/9.54 inference(avatar_split_clause,[],[f47329,f88433])).
% 58.13/9.54 tff(f88433,plain,(
% 58.13/9.54 spl5880_1880 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1201(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1880])])).
% 58.13/9.54 tff(f47329,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1201(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38208])).
% 58.13/9.54 tff(f38208,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1201(X0))) & (($true = bG1201(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21382])).
% 58.13/9.54 tff(f21382,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1201(X0)))),
% 58.13/9.54 inference(rectify,[],[f17547])).
% 58.13/9.54 tff(f17547,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1201(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1201])])).
% 58.13/9.54 tff(f88431,plain,(
% 58.13/9.54 spl5880_1879),
% 58.13/9.54 inference(avatar_split_clause,[],[f47327,f88429])).
% 58.13/9.54 tff(f88429,plain,(
% 58.13/9.54 spl5880_1879 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1202(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1879])])).
% 58.13/9.54 tff(f47327,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1202(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38207])).
% 58.13/9.54 tff(f38207,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1202(X0))) & (($true = bG1202(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21381])).
% 58.13/9.54 tff(f21381,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1202(X0)))),
% 58.13/9.54 inference(rectify,[],[f17548])).
% 58.13/9.54 tff(f17548,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1202(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1202])])).
% 58.13/9.54 tff(f88427,plain,(
% 58.13/9.54 spl5880_1878 | ~spl5880_206 | ~spl5880_803),
% 58.13/9.54 inference(avatar_split_clause,[],[f85204,f82380,f79473,f88424])).
% 58.13/9.54 tff(f88424,plain,(
% 58.13/9.54 spl5880_1878 <=> sP1937(rat)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1878])])).
% 58.13/9.54 tff(f85204,plain,(
% 58.13/9.54 sP1937(rat) | (~spl5880_206 | ~spl5880_803)),
% 58.13/9.54 inference(resolution,[],[f82381,f79475])).
% 58.13/9.54 tff(f88422,plain,(
% 58.13/9.54 spl5880_1877),
% 58.13/9.54 inference(avatar_split_clause,[],[f47325,f88420])).
% 58.13/9.54 tff(f88420,plain,(
% 58.13/9.54 spl5880_1877 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1203(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1877])])).
% 58.13/9.54 tff(f47325,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1203(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38206])).
% 58.13/9.54 tff(f38206,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1203(X0))) & (($true = bG1203(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21380])).
% 58.13/9.54 tff(f21380,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1203(X0)))),
% 58.13/9.54 inference(rectify,[],[f17549])).
% 58.13/9.54 tff(f17549,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1203(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1203])])).
% 58.13/9.54 tff(f88418,plain,(
% 58.13/9.54 spl5880_1876),
% 58.13/9.54 inference(avatar_split_clause,[],[f47323,f88416])).
% 58.13/9.54 tff(f88416,plain,(
% 58.13/9.54 spl5880_1876 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1204(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1876])])).
% 58.13/9.54 tff(f47323,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1204(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38205])).
% 58.13/9.54 tff(f38205,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1204(X0))) & (($true = bG1204(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21379])).
% 58.13/9.54 tff(f21379,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1204(X0)))),
% 58.13/9.54 inference(rectify,[],[f17550])).
% 58.13/9.54 tff(f17550,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1204(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1204])])).
% 58.13/9.54 tff(f88414,plain,(
% 58.13/9.54 spl5880_1875),
% 58.13/9.54 inference(avatar_split_clause,[],[f47321,f88412])).
% 58.13/9.54 tff(f88412,plain,(
% 58.13/9.54 spl5880_1875 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1205(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1875])])).
% 58.13/9.54 tff(f47321,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1205(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38204])).
% 58.13/9.54 tff(f38204,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1205(X0))) & (($true = bG1205(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21378])).
% 58.13/9.54 tff(f21378,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1205(X0)))),
% 58.13/9.54 inference(rectify,[],[f17551])).
% 58.13/9.54 tff(f17551,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1205(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1205])])).
% 58.13/9.54 tff(f88410,plain,(
% 58.13/9.54 spl5880_1874),
% 58.13/9.54 inference(avatar_split_clause,[],[f47319,f88408])).
% 58.13/9.54 tff(f88408,plain,(
% 58.13/9.54 spl5880_1874 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1206(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1874])])).
% 58.13/9.54 tff(f47319,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1206(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38203])).
% 58.13/9.54 tff(f38203,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1206(X0))) & (($true = bG1206(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21377])).
% 58.13/9.54 tff(f21377,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1206(X0)))),
% 58.13/9.54 inference(rectify,[],[f17552])).
% 58.13/9.54 tff(f17552,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1206(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1206])])).
% 58.13/9.54 tff(f88406,plain,(
% 58.13/9.54 spl5880_1873),
% 58.13/9.54 inference(avatar_split_clause,[],[f47317,f88404])).
% 58.13/9.54 tff(f88404,plain,(
% 58.13/9.54 spl5880_1873 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1207(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1873])])).
% 58.13/9.54 tff(f47317,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1207(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38202])).
% 58.13/9.54 tff(f38202,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1207(X0))) & (($true = bG1207(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21376])).
% 58.13/9.54 tff(f21376,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1207(X0)))),
% 58.13/9.54 inference(rectify,[],[f17553])).
% 58.13/9.54 tff(f17553,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1207(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1207])])).
% 58.13/9.54 tff(f88402,plain,(
% 58.13/9.54 spl5880_1872),
% 58.13/9.54 inference(avatar_split_clause,[],[f47315,f88400])).
% 58.13/9.54 tff(f88400,plain,(
% 58.13/9.54 spl5880_1872 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1208(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1872])])).
% 58.13/9.54 tff(f47315,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1208(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38201])).
% 58.13/9.54 tff(f38201,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1208(X0))) & (($true = bG1208(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21375])).
% 58.13/9.54 tff(f21375,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1208(X0)))),
% 58.13/9.54 inference(rectify,[],[f17554])).
% 58.13/9.54 tff(f17554,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1208(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1208])])).
% 58.13/9.54 tff(f88398,plain,(
% 58.13/9.54 spl5880_1871),
% 58.13/9.54 inference(avatar_split_clause,[],[f47313,f88396])).
% 58.13/9.54 tff(f88396,plain,(
% 58.13/9.54 spl5880_1871 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1209(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1871])])).
% 58.13/9.54 tff(f47313,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1209(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38200])).
% 58.13/9.54 tff(f38200,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1209(X0))) & (($true = bG1209(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21374])).
% 58.13/9.54 tff(f21374,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1209(X0)))),
% 58.13/9.54 inference(rectify,[],[f17555])).
% 58.13/9.54 tff(f17555,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1209(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1209])])).
% 58.13/9.54 tff(f88394,plain,(
% 58.13/9.54 spl5880_1870),
% 58.13/9.54 inference(avatar_split_clause,[],[f47311,f88392])).
% 58.13/9.54 tff(f88392,plain,(
% 58.13/9.54 spl5880_1870 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1210(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1870])])).
% 58.13/9.54 tff(f47311,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1210(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38199])).
% 58.13/9.54 tff(f38199,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1210(X0))) & (($true = bG1210(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21373])).
% 58.13/9.54 tff(f21373,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1210(X0)))),
% 58.13/9.54 inference(rectify,[],[f17556])).
% 58.13/9.54 tff(f17556,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1210(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1210])])).
% 58.13/9.54 tff(f88390,plain,(
% 58.13/9.54 spl5880_1869),
% 58.13/9.54 inference(avatar_split_clause,[],[f47309,f88388])).
% 58.13/9.54 tff(f88388,plain,(
% 58.13/9.54 spl5880_1869 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1211(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1869])])).
% 58.13/9.54 tff(f47309,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1211(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38198])).
% 58.13/9.54 tff(f38198,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1211(X0))) & (($true = bG1211(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21372])).
% 58.13/9.54 tff(f21372,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1211(X0)))),
% 58.13/9.54 inference(rectify,[],[f17557])).
% 58.13/9.54 tff(f17557,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1211(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1211])])).
% 58.13/9.54 tff(f88386,plain,(
% 58.13/9.54 spl5880_1868),
% 58.13/9.54 inference(avatar_split_clause,[],[f47297,f88384])).
% 58.13/9.54 tff(f88384,plain,(
% 58.13/9.54 spl5880_1868 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1218(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1868])])).
% 58.13/9.54 tff(f47297,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1218(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38197])).
% 58.13/9.54 tff(f38197,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1218(X0))) & (($true = bG1218(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21363])).
% 58.13/9.54 tff(f21363,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1218(X0)))),
% 58.13/9.54 inference(rectify,[],[f17566])).
% 58.13/9.54 tff(f17566,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1218(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1218])])).
% 58.13/9.54 tff(f88382,plain,(
% 58.13/9.54 spl5880_1867 | ~spl5880_209 | ~spl5880_803),
% 58.13/9.54 inference(avatar_split_clause,[],[f85203,f82380,f79488,f88379])).
% 58.13/9.54 tff(f88379,plain,(
% 58.13/9.54 spl5880_1867 <=> sP1937(real)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1867])])).
% 58.13/9.54 tff(f85203,plain,(
% 58.13/9.54 sP1937(real) | (~spl5880_209 | ~spl5880_803)),
% 58.13/9.54 inference(resolution,[],[f82381,f79490])).
% 58.13/9.54 tff(f88377,plain,(
% 58.13/9.54 spl5880_1866),
% 58.13/9.54 inference(avatar_split_clause,[],[f47295,f88375])).
% 58.13/9.54 tff(f88375,plain,(
% 58.13/9.54 spl5880_1866 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1219(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1866])])).
% 58.13/9.54 tff(f47295,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1219(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38196])).
% 58.13/9.54 tff(f38196,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1219(X0))) & (($true = bG1219(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21362])).
% 58.13/9.54 tff(f21362,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1219(X0)))),
% 58.13/9.54 inference(rectify,[],[f17567])).
% 58.13/9.54 tff(f17567,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1219(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1219])])).
% 58.13/9.54 tff(f88373,plain,(
% 58.13/9.54 spl5880_1865),
% 58.13/9.54 inference(avatar_split_clause,[],[f47293,f88371])).
% 58.13/9.54 tff(f88371,plain,(
% 58.13/9.54 spl5880_1865 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1220(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1865])])).
% 58.13/9.54 tff(f47293,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1220(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38195])).
% 58.13/9.54 tff(f38195,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1220(X0))) & (($true = bG1220(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21361])).
% 58.13/9.54 tff(f21361,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1220(X0)))),
% 58.13/9.54 inference(rectify,[],[f17568])).
% 58.13/9.54 tff(f17568,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1220(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1220])])).
% 58.13/9.54 tff(f88369,plain,(
% 58.13/9.54 spl5880_1864),
% 58.13/9.54 inference(avatar_split_clause,[],[f47291,f88367])).
% 58.13/9.54 tff(f88367,plain,(
% 58.13/9.54 spl5880_1864 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1221(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1864])])).
% 58.13/9.54 tff(f47291,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1221(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38194])).
% 58.13/9.54 tff(f38194,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1221(X0))) & (($true = bG1221(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21360])).
% 58.13/9.54 tff(f21360,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1221(X0)))),
% 58.13/9.54 inference(rectify,[],[f17569])).
% 58.13/9.54 tff(f17569,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1221(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1221])])).
% 58.13/9.54 tff(f88365,plain,(
% 58.13/9.54 spl5880_1863),
% 58.13/9.54 inference(avatar_split_clause,[],[f47289,f88363])).
% 58.13/9.54 tff(f88363,plain,(
% 58.13/9.54 spl5880_1863 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1222(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1863])])).
% 58.13/9.54 tff(f47289,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1222(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38193])).
% 58.13/9.54 tff(f38193,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1222(X0))) & (($true = bG1222(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21359])).
% 58.13/9.54 tff(f21359,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1222(X0)))),
% 58.13/9.54 inference(rectify,[],[f17570])).
% 58.13/9.54 tff(f17570,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1222(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1222])])).
% 58.13/9.54 tff(f88361,plain,(
% 58.13/9.54 spl5880_1862),
% 58.13/9.54 inference(avatar_split_clause,[],[f47287,f88359])).
% 58.13/9.54 tff(f88359,plain,(
% 58.13/9.54 spl5880_1862 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1223(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1862])])).
% 58.13/9.54 tff(f47287,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1223(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38192])).
% 58.13/9.54 tff(f38192,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1223(X0))) & (($true = bG1223(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21358])).
% 58.13/9.54 tff(f21358,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1223(X0)))),
% 58.13/9.54 inference(rectify,[],[f17571])).
% 58.13/9.54 tff(f17571,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1223(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1223])])).
% 58.13/9.54 tff(f88357,plain,(
% 58.13/9.54 spl5880_1861),
% 58.13/9.54 inference(avatar_split_clause,[],[f47285,f88355])).
% 58.13/9.54 tff(f88355,plain,(
% 58.13/9.54 spl5880_1861 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1224(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1861])])).
% 58.13/9.54 tff(f47285,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1224(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38191])).
% 58.13/9.54 tff(f38191,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1224(X0))) & (($true = bG1224(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21357])).
% 58.13/9.54 tff(f21357,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1224(X0)))),
% 58.13/9.54 inference(rectify,[],[f17572])).
% 58.13/9.54 tff(f17572,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1224(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1224])])).
% 58.13/9.54 tff(f88353,plain,(
% 58.13/9.54 spl5880_1860),
% 58.13/9.54 inference(avatar_split_clause,[],[f47283,f88351])).
% 58.13/9.54 tff(f88351,plain,(
% 58.13/9.54 spl5880_1860 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1225(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1860])])).
% 58.13/9.54 tff(f47283,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1225(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38190])).
% 58.13/9.54 tff(f38190,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1225(X0))) & (($true = bG1225(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21356])).
% 58.13/9.54 tff(f21356,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1225(X0)))),
% 58.13/9.54 inference(rectify,[],[f17573])).
% 58.13/9.54 tff(f17573,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1225(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1225])])).
% 58.13/9.54 tff(f88349,plain,(
% 58.13/9.54 spl5880_1859),
% 58.13/9.54 inference(avatar_split_clause,[],[f47281,f88347])).
% 58.13/9.54 tff(f88347,plain,(
% 58.13/9.54 spl5880_1859 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1226(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1859])])).
% 58.13/9.54 tff(f47281,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1226(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38189])).
% 58.13/9.54 tff(f38189,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1226(X0))) & (($true = bG1226(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21355])).
% 58.13/9.54 tff(f21355,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1226(X0)))),
% 58.13/9.54 inference(rectify,[],[f17574])).
% 58.13/9.54 tff(f17574,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1226(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1226])])).
% 58.13/9.54 tff(f88345,plain,(
% 58.13/9.54 spl5880_1858),
% 58.13/9.54 inference(avatar_split_clause,[],[f47279,f88343])).
% 58.13/9.54 tff(f88343,plain,(
% 58.13/9.54 spl5880_1858 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1227(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1858])])).
% 58.13/9.54 tff(f47279,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1227(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38188])).
% 58.13/9.54 tff(f38188,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1227(X0))) & (($true = bG1227(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21354])).
% 58.13/9.54 tff(f21354,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1227(X0)))),
% 58.13/9.54 inference(rectify,[],[f17575])).
% 58.13/9.54 tff(f17575,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1227(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1227])])).
% 58.13/9.54 tff(f88341,plain,(
% 58.13/9.54 spl5880_1857),
% 58.13/9.54 inference(avatar_split_clause,[],[f47275,f88339])).
% 58.13/9.54 tff(f88339,plain,(
% 58.13/9.54 spl5880_1857 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1229(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1857])])).
% 58.13/9.54 tff(f47275,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1229(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38187])).
% 58.13/9.54 tff(f38187,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1229(X0))) & (($true = bG1229(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21351])).
% 58.13/9.54 tff(f21351,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1229(X0)))),
% 58.13/9.54 inference(rectify,[],[f17577])).
% 58.13/9.54 tff(f17577,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1229(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1229])])).
% 58.13/9.54 tff(f88337,plain,(
% 58.13/9.54 spl5880_1856 | ~spl5880_207 | ~spl5880_803),
% 58.13/9.54 inference(avatar_split_clause,[],[f85202,f82380,f79478,f88334])).
% 58.13/9.54 tff(f88334,plain,(
% 58.13/9.54 spl5880_1856 <=> sP1937(code_integer)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1856])])).
% 58.13/9.54 tff(f85202,plain,(
% 58.13/9.54 sP1937(code_integer) | (~spl5880_207 | ~spl5880_803)),
% 58.13/9.54 inference(resolution,[],[f82381,f79480])).
% 58.13/9.54 tff(f88332,plain,(
% 58.13/9.54 spl5880_1855),
% 58.13/9.54 inference(avatar_split_clause,[],[f47273,f88330])).
% 58.13/9.54 tff(f88330,plain,(
% 58.13/9.54 spl5880_1855 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1230(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1855])])).
% 58.13/9.54 tff(f47273,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1230(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38186])).
% 58.13/9.54 tff(f38186,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1230(X0))) & (($true = bG1230(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21350])).
% 58.13/9.54 tff(f21350,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1230(X0)))),
% 58.13/9.54 inference(rectify,[],[f17578])).
% 58.13/9.54 tff(f17578,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1230(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1230])])).
% 58.13/9.54 tff(f88328,plain,(
% 58.13/9.54 spl5880_1854),
% 58.13/9.54 inference(avatar_split_clause,[],[f47258,f88326])).
% 58.13/9.54 tff(f88326,plain,(
% 58.13/9.54 spl5880_1854 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1239(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1854])])).
% 58.13/9.54 tff(f47258,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1239(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38185])).
% 58.13/9.54 tff(f38185,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1239(X0))) & (($true = bG1239(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21338])).
% 58.13/9.54 tff(f21338,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1239(X0)))),
% 58.13/9.54 inference(rectify,[],[f17589])).
% 58.13/9.54 tff(f17589,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1239(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1239])])).
% 58.13/9.54 tff(f88324,plain,(
% 58.13/9.54 spl5880_1853),
% 58.13/9.54 inference(avatar_split_clause,[],[f47256,f88322])).
% 58.13/9.54 tff(f88322,plain,(
% 58.13/9.54 spl5880_1853 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1240(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1853])])).
% 58.13/9.54 tff(f47256,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1240(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38184])).
% 58.13/9.54 tff(f38184,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1240(X0))) & (($true = bG1240(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21337])).
% 58.13/9.54 tff(f21337,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1240(X0)))),
% 58.13/9.54 inference(rectify,[],[f17590])).
% 58.13/9.54 tff(f17590,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1240(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1240])])).
% 58.13/9.54 tff(f88320,plain,(
% 58.13/9.54 spl5880_1852),
% 58.13/9.54 inference(avatar_split_clause,[],[f47254,f88318])).
% 58.13/9.54 tff(f88318,plain,(
% 58.13/9.54 spl5880_1852 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1241(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1852])])).
% 58.13/9.54 tff(f47254,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1241(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38183])).
% 58.13/9.54 tff(f38183,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1241(X0))) & (($true = bG1241(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21336])).
% 58.13/9.54 tff(f21336,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1241(X0)))),
% 58.13/9.54 inference(rectify,[],[f17591])).
% 58.13/9.54 tff(f17591,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1241(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1241])])).
% 58.13/9.54 tff(f88316,plain,(
% 58.13/9.54 spl5880_1851),
% 58.13/9.54 inference(avatar_split_clause,[],[f47252,f88314])).
% 58.13/9.54 tff(f88314,plain,(
% 58.13/9.54 spl5880_1851 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1242(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1851])])).
% 58.13/9.54 tff(f47252,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1242(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38182])).
% 58.13/9.54 tff(f38182,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1242(X0))) & (($true = bG1242(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21335])).
% 58.13/9.54 tff(f21335,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1242(X0)))),
% 58.13/9.54 inference(rectify,[],[f17592])).
% 58.13/9.54 tff(f17592,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1242(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1242])])).
% 58.13/9.54 tff(f88312,plain,(
% 58.13/9.54 spl5880_1850),
% 58.13/9.54 inference(avatar_split_clause,[],[f47250,f88310])).
% 58.13/9.54 tff(f88310,plain,(
% 58.13/9.54 spl5880_1850 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1243(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1850])])).
% 58.13/9.54 tff(f47250,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1243(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38181])).
% 58.13/9.54 tff(f38181,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1243(X0))) & (($true = bG1243(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21334])).
% 58.13/9.54 tff(f21334,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1243(X0)))),
% 58.13/9.54 inference(rectify,[],[f17593])).
% 58.13/9.54 tff(f17593,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1243(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1243])])).
% 58.13/9.54 tff(f88308,plain,(
% 58.13/9.54 spl5880_1849),
% 58.13/9.54 inference(avatar_split_clause,[],[f47248,f88306])).
% 58.13/9.54 tff(f88306,plain,(
% 58.13/9.54 spl5880_1849 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1244(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1849])])).
% 58.13/9.54 tff(f47248,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1244(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38180])).
% 58.13/9.54 tff(f38180,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1244(X0))) & (($true = bG1244(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21333])).
% 58.13/9.54 tff(f21333,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1244(X0)))),
% 58.13/9.54 inference(rectify,[],[f17594])).
% 58.13/9.54 tff(f17594,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1244(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1244])])).
% 58.13/9.54 tff(f88304,plain,(
% 58.13/9.54 spl5880_1848),
% 58.13/9.54 inference(avatar_split_clause,[],[f47230,f88302])).
% 58.13/9.54 tff(f88302,plain,(
% 58.13/9.54 spl5880_1848 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1253(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1848])])).
% 58.13/9.54 tff(f47230,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1253(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38179])).
% 58.13/9.54 tff(f38179,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1253(X0))) & (($true = bG1253(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21319])).
% 58.13/9.54 tff(f21319,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1253(X0)))),
% 58.13/9.54 inference(rectify,[],[f17605])).
% 58.13/9.54 tff(f17605,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1253(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1253])])).
% 58.13/9.54 tff(f88300,plain,(
% 58.13/9.54 spl5880_1847),
% 58.13/9.54 inference(avatar_split_clause,[],[f47228,f88298])).
% 58.13/9.54 tff(f88298,plain,(
% 58.13/9.54 spl5880_1847 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1254(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1847])])).
% 58.13/9.54 tff(f47228,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1254(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38178])).
% 58.13/9.54 tff(f38178,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1254(X0))) & (($true = bG1254(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21318])).
% 58.13/9.54 tff(f21318,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1254(X0)))),
% 58.13/9.54 inference(rectify,[],[f17606])).
% 58.13/9.54 tff(f17606,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1254(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1254])])).
% 58.13/9.54 tff(f88296,plain,(
% 58.13/9.54 spl5880_1846),
% 58.13/9.54 inference(avatar_split_clause,[],[f47226,f88294])).
% 58.13/9.54 tff(f88294,plain,(
% 58.13/9.54 spl5880_1846 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1255(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1846])])).
% 58.13/9.54 tff(f47226,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1255(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38177])).
% 58.13/9.54 tff(f38177,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1255(X0))) & (($true = bG1255(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21317])).
% 58.13/9.54 tff(f21317,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1255(X0)))),
% 58.13/9.54 inference(rectify,[],[f17607])).
% 58.13/9.54 tff(f17607,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1255(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1255])])).
% 58.13/9.54 tff(f88292,plain,(
% 58.13/9.54 spl5880_1845 | ~spl5880_208 | ~spl5880_802),
% 58.13/9.54 inference(avatar_split_clause,[],[f85201,f82376,f79483,f88289])).
% 58.13/9.54 tff(f88289,plain,(
% 58.13/9.54 spl5880_1845 <=> sP1935(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1845])])).
% 58.13/9.54 tff(f82376,plain,(
% 58.13/9.54 spl5880_802 <=> ! [X0 : $tType] : (sP1935(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_802])])).
% 58.13/9.54 tff(f85201,plain,(
% 58.13/9.54 sP1935(int) | (~spl5880_208 | ~spl5880_802)),
% 58.13/9.54 inference(resolution,[],[f82377,f79485])).
% 58.13/9.54 tff(f82377,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1935(X0)) ) | ~spl5880_802),
% 58.13/9.54 inference(avatar_component_clause,[],[f82376])).
% 58.13/9.54 tff(f88287,plain,(
% 58.13/9.54 spl5880_1844),
% 58.13/9.54 inference(avatar_split_clause,[],[f47224,f88285])).
% 58.13/9.54 tff(f88285,plain,(
% 58.13/9.54 spl5880_1844 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1256(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1844])])).
% 58.13/9.54 tff(f47224,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1256(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38176])).
% 58.13/9.54 tff(f38176,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1256(X0))) & (($true = bG1256(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21316])).
% 58.13/9.54 tff(f21316,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1256(X0)))),
% 58.13/9.54 inference(rectify,[],[f17608])).
% 58.13/9.54 tff(f17608,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1256(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1256])])).
% 58.13/9.54 tff(f88283,plain,(
% 58.13/9.54 spl5880_1843),
% 58.13/9.54 inference(avatar_split_clause,[],[f47222,f88281])).
% 58.13/9.54 tff(f88281,plain,(
% 58.13/9.54 spl5880_1843 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1257(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1843])])).
% 58.13/9.54 tff(f47222,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1257(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38175])).
% 58.13/9.54 tff(f38175,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1257(X0))) & (($true = bG1257(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21315])).
% 58.13/9.54 tff(f21315,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1257(X0)))),
% 58.13/9.54 inference(rectify,[],[f17609])).
% 58.13/9.54 tff(f17609,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1257(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1257])])).
% 58.13/9.54 tff(f88279,plain,(
% 58.13/9.54 spl5880_1842),
% 58.13/9.54 inference(avatar_split_clause,[],[f47220,f88277])).
% 58.13/9.54 tff(f88277,plain,(
% 58.13/9.54 spl5880_1842 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1258(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1842])])).
% 58.13/9.54 tff(f47220,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1258(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38174])).
% 58.13/9.54 tff(f38174,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1258(X0))) & (($true = bG1258(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21314])).
% 58.13/9.54 tff(f21314,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1258(X0)))),
% 58.13/9.54 inference(rectify,[],[f17610])).
% 58.13/9.54 tff(f17610,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1258(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1258])])).
% 58.13/9.54 tff(f88275,plain,(
% 58.13/9.54 spl5880_1841),
% 58.13/9.54 inference(avatar_split_clause,[],[f47214,f88273])).
% 58.13/9.54 tff(f88273,plain,(
% 58.13/9.54 spl5880_1841 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1261(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1841])])).
% 58.13/9.54 tff(f47214,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1261(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38173])).
% 58.13/9.54 tff(f38173,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1261(X0))) & (($true = bG1261(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21309])).
% 58.13/9.54 tff(f21309,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1261(X0)))),
% 58.13/9.54 inference(rectify,[],[f17613])).
% 58.13/9.54 tff(f17613,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1261(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1261])])).
% 58.13/9.54 tff(f88271,plain,(
% 58.13/9.54 spl5880_1840),
% 58.13/9.54 inference(avatar_split_clause,[],[f47212,f88269])).
% 58.13/9.54 tff(f88269,plain,(
% 58.13/9.54 spl5880_1840 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1262(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1840])])).
% 58.13/9.54 tff(f47212,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1262(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38172])).
% 58.13/9.54 tff(f38172,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1262(X0))) & (($true = bG1262(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21308])).
% 58.13/9.54 tff(f21308,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1262(X0)))),
% 58.13/9.54 inference(rectify,[],[f17614])).
% 58.13/9.54 tff(f17614,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1262(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1262])])).
% 58.13/9.54 tff(f88267,plain,(
% 58.13/9.54 spl5880_1839),
% 58.13/9.54 inference(avatar_split_clause,[],[f47198,f88265])).
% 58.13/9.54 tff(f88265,plain,(
% 58.13/9.54 spl5880_1839 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1269(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1839])])).
% 58.13/9.54 tff(f47198,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1269(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38171])).
% 58.13/9.54 tff(f38171,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1269(X0))) & (($true = bG1269(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21298])).
% 58.13/9.54 tff(f21298,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1269(X0)))),
% 58.13/9.54 inference(rectify,[],[f17623])).
% 58.13/9.54 tff(f17623,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1269(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1269])])).
% 58.13/9.54 tff(f88263,plain,(
% 58.13/9.54 spl5880_1838),
% 58.13/9.54 inference(avatar_split_clause,[],[f47196,f88261])).
% 58.13/9.54 tff(f88261,plain,(
% 58.13/9.54 spl5880_1838 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1270(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1838])])).
% 58.13/9.54 tff(f47196,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1270(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38170])).
% 58.13/9.54 tff(f38170,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1270(X0))) & (($true = bG1270(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21297])).
% 58.13/9.54 tff(f21297,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1270(X0)))),
% 58.13/9.54 inference(rectify,[],[f17624])).
% 58.13/9.54 tff(f17624,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1270(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1270])])).
% 58.13/9.54 tff(f88259,plain,(
% 58.13/9.54 spl5880_1837),
% 58.13/9.54 inference(avatar_split_clause,[],[f47194,f88257])).
% 58.13/9.54 tff(f88257,plain,(
% 58.13/9.54 spl5880_1837 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1271(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1837])])).
% 58.13/9.54 tff(f47194,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1271(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38169])).
% 58.13/9.54 tff(f38169,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1271(X0))) & (($true = bG1271(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21296])).
% 58.13/9.54 tff(f21296,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1271(X0)))),
% 58.13/9.54 inference(rectify,[],[f17625])).
% 58.13/9.54 tff(f17625,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1271(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1271])])).
% 58.13/9.54 tff(f88255,plain,(
% 58.13/9.54 spl5880_1836),
% 58.13/9.54 inference(avatar_split_clause,[],[f47192,f88253])).
% 58.13/9.54 tff(f88253,plain,(
% 58.13/9.54 spl5880_1836 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1272(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1836])])).
% 58.13/9.54 tff(f47192,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1272(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38168])).
% 58.13/9.54 tff(f38168,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1272(X0))) & (($true = bG1272(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21295])).
% 58.13/9.54 tff(f21295,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1272(X0)))),
% 58.13/9.54 inference(rectify,[],[f17626])).
% 58.13/9.54 tff(f17626,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1272(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1272])])).
% 58.13/9.54 tff(f88251,plain,(
% 58.13/9.54 spl5880_1835),
% 58.13/9.54 inference(avatar_split_clause,[],[f47190,f88249])).
% 58.13/9.54 tff(f88249,plain,(
% 58.13/9.54 spl5880_1835 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1273(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1835])])).
% 58.13/9.54 tff(f47190,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1273(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38167])).
% 58.13/9.54 tff(f38167,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1273(X0))) & (($true = bG1273(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21294])).
% 58.13/9.54 tff(f21294,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1273(X0)))),
% 58.13/9.54 inference(rectify,[],[f17627])).
% 58.13/9.54 tff(f17627,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1273(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1273])])).
% 58.13/9.54 tff(f88247,plain,(
% 58.13/9.54 spl5880_1834 | ~spl5880_206 | ~spl5880_802),
% 58.13/9.54 inference(avatar_split_clause,[],[f85200,f82376,f79473,f88244])).
% 58.13/9.54 tff(f88244,plain,(
% 58.13/9.54 spl5880_1834 <=> sP1935(rat)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1834])])).
% 58.13/9.54 tff(f85200,plain,(
% 58.13/9.54 sP1935(rat) | (~spl5880_206 | ~spl5880_802)),
% 58.13/9.54 inference(resolution,[],[f82377,f79475])).
% 58.13/9.54 tff(f88242,plain,(
% 58.13/9.54 spl5880_1833),
% 58.13/9.54 inference(avatar_split_clause,[],[f47188,f88240])).
% 58.13/9.54 tff(f88240,plain,(
% 58.13/9.54 spl5880_1833 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1274(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1833])])).
% 58.13/9.54 tff(f47188,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1274(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38166])).
% 58.13/9.54 tff(f38166,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1274(X0))) & (($true = bG1274(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21293])).
% 58.13/9.54 tff(f21293,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1274(X0)))),
% 58.13/9.54 inference(rectify,[],[f17628])).
% 58.13/9.54 tff(f17628,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1274(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1274])])).
% 58.13/9.54 tff(f88238,plain,(
% 58.13/9.54 spl5880_1832),
% 58.13/9.54 inference(avatar_split_clause,[],[f47159,f88236])).
% 58.13/9.54 tff(f88236,plain,(
% 58.13/9.54 spl5880_1832 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1291(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1832])])).
% 58.13/9.54 tff(f47159,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1291(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38165])).
% 58.13/9.54 tff(f38165,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1291(X0))) & (($true = bG1291(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21269])).
% 58.13/9.54 tff(f21269,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1291(X0)))),
% 58.13/9.54 inference(rectify,[],[f17647])).
% 58.13/9.54 tff(f17647,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1291(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1291])])).
% 58.13/9.54 tff(f88234,plain,(
% 58.13/9.54 spl5880_1831),
% 58.13/9.54 inference(avatar_split_clause,[],[f47157,f88232])).
% 58.13/9.54 tff(f88232,plain,(
% 58.13/9.54 spl5880_1831 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1292(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1831])])).
% 58.13/9.54 tff(f47157,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1292(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38164])).
% 58.13/9.54 tff(f38164,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1292(X0))) & (($true = bG1292(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21268])).
% 58.13/9.54 tff(f21268,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1292(X0)))),
% 58.13/9.54 inference(rectify,[],[f17648])).
% 58.13/9.54 tff(f17648,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1292(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1292])])).
% 58.13/9.54 tff(f88230,plain,(
% 58.13/9.54 spl5880_1830),
% 58.13/9.54 inference(avatar_split_clause,[],[f47155,f88228])).
% 58.13/9.54 tff(f88228,plain,(
% 58.13/9.54 spl5880_1830 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1293(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1830])])).
% 58.13/9.54 tff(f47155,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1293(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38163])).
% 58.13/9.54 tff(f38163,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1293(X0))) & (($true = bG1293(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21267])).
% 58.13/9.54 tff(f21267,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1293(X0)))),
% 58.13/9.54 inference(rectify,[],[f17649])).
% 58.13/9.54 tff(f17649,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1293(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1293])])).
% 58.13/9.54 tff(f88226,plain,(
% 58.13/9.54 spl5880_1829),
% 58.13/9.54 inference(avatar_split_clause,[],[f47153,f88224])).
% 58.13/9.54 tff(f88224,plain,(
% 58.13/9.54 spl5880_1829 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1294(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1829])])).
% 58.13/9.54 tff(f47153,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1294(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38162])).
% 58.13/9.54 tff(f38162,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1294(X0))) & (($true = bG1294(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21266])).
% 58.13/9.54 tff(f21266,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1294(X0)))),
% 58.13/9.54 inference(rectify,[],[f17650])).
% 58.13/9.54 tff(f17650,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1294(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1294])])).
% 58.13/9.54 tff(f88222,plain,(
% 58.13/9.54 spl5880_1828),
% 58.13/9.54 inference(avatar_split_clause,[],[f47151,f88220])).
% 58.13/9.54 tff(f88220,plain,(
% 58.13/9.54 spl5880_1828 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1295(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1828])])).
% 58.13/9.54 tff(f47151,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1295(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38161])).
% 58.13/9.54 tff(f38161,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1295(X0))) & (($true = bG1295(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21265])).
% 58.13/9.54 tff(f21265,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1295(X0)))),
% 58.13/9.54 inference(rectify,[],[f17651])).
% 58.13/9.54 tff(f17651,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1295(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1295])])).
% 58.13/9.54 tff(f88218,plain,(
% 58.13/9.54 spl5880_1827),
% 58.13/9.54 inference(avatar_split_clause,[],[f47149,f88216])).
% 58.13/9.54 tff(f88216,plain,(
% 58.13/9.54 spl5880_1827 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1296(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1827])])).
% 58.13/9.54 tff(f47149,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1296(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38160])).
% 58.13/9.54 tff(f38160,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1296(X0))) & (($true = bG1296(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21264])).
% 58.13/9.54 tff(f21264,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1296(X0)))),
% 58.13/9.54 inference(rectify,[],[f17652])).
% 58.13/9.54 tff(f17652,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1296(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1296])])).
% 58.13/9.54 tff(f88214,plain,(
% 58.13/9.54 spl5880_1826),
% 58.13/9.54 inference(avatar_split_clause,[],[f47147,f88212])).
% 58.13/9.54 tff(f88212,plain,(
% 58.13/9.54 spl5880_1826 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1297(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1826])])).
% 58.13/9.54 tff(f47147,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1297(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38159])).
% 58.13/9.54 tff(f38159,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1297(X0))) & (($true = bG1297(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21263])).
% 58.13/9.54 tff(f21263,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1297(X0)))),
% 58.13/9.54 inference(rectify,[],[f17653])).
% 58.13/9.54 tff(f17653,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1297(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1297])])).
% 58.13/9.54 tff(f88210,plain,(
% 58.13/9.54 spl5880_1825),
% 58.13/9.54 inference(avatar_split_clause,[],[f47145,f88208])).
% 58.13/9.54 tff(f88208,plain,(
% 58.13/9.54 spl5880_1825 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1298(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1825])])).
% 58.13/9.54 tff(f47145,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1298(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38158])).
% 58.13/9.54 tff(f38158,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1298(X0))) & (($true = bG1298(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21262])).
% 58.13/9.54 tff(f21262,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1298(X0)))),
% 58.13/9.54 inference(rectify,[],[f17654])).
% 58.13/9.54 tff(f17654,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1298(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1298])])).
% 58.13/9.54 tff(f88206,plain,(
% 58.13/9.54 spl5880_1824),
% 58.13/9.54 inference(avatar_split_clause,[],[f47143,f88204])).
% 58.13/9.54 tff(f88204,plain,(
% 58.13/9.54 spl5880_1824 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1299(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1824])])).
% 58.13/9.54 tff(f47143,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1299(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38157])).
% 58.13/9.54 tff(f38157,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1299(X0))) & (($true = bG1299(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21261])).
% 58.13/9.54 tff(f21261,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1299(X0)))),
% 58.13/9.54 inference(rectify,[],[f17655])).
% 58.13/9.54 tff(f17655,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1299(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1299])])).
% 58.13/9.54 tff(f88202,plain,(
% 58.13/9.54 spl5880_1823 | ~spl5880_209 | ~spl5880_802),
% 58.13/9.54 inference(avatar_split_clause,[],[f85199,f82376,f79488,f88199])).
% 58.13/9.54 tff(f88199,plain,(
% 58.13/9.54 spl5880_1823 <=> sP1935(real)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1823])])).
% 58.13/9.54 tff(f85199,plain,(
% 58.13/9.54 sP1935(real) | (~spl5880_209 | ~spl5880_802)),
% 58.13/9.54 inference(resolution,[],[f82377,f79490])).
% 58.13/9.54 tff(f88197,plain,(
% 58.13/9.54 spl5880_1822),
% 58.13/9.54 inference(avatar_split_clause,[],[f47141,f88195])).
% 58.13/9.54 tff(f88195,plain,(
% 58.13/9.54 spl5880_1822 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1300(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1822])])).
% 58.13/9.54 tff(f47141,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1300(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38156])).
% 58.13/9.54 tff(f38156,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1300(X0))) & (($true = bG1300(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21260])).
% 58.13/9.54 tff(f21260,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1300(X0)))),
% 58.13/9.54 inference(rectify,[],[f17656])).
% 58.13/9.54 tff(f17656,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1300(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1300])])).
% 58.13/9.54 tff(f88193,plain,(
% 58.13/9.54 spl5880_1821),
% 58.13/9.54 inference(avatar_split_clause,[],[f47139,f88191])).
% 58.13/9.54 tff(f88191,plain,(
% 58.13/9.54 spl5880_1821 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1301(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1821])])).
% 58.13/9.54 tff(f47139,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1301(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38155])).
% 58.13/9.54 tff(f38155,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1301(X0))) & (($true = bG1301(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21259])).
% 58.13/9.54 tff(f21259,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1301(X0)))),
% 58.13/9.54 inference(rectify,[],[f17657])).
% 58.13/9.54 tff(f17657,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1301(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1301])])).
% 58.13/9.54 tff(f88189,plain,(
% 58.13/9.54 spl5880_1820),
% 58.13/9.54 inference(avatar_split_clause,[],[f47137,f88187])).
% 58.13/9.54 tff(f88187,plain,(
% 58.13/9.54 spl5880_1820 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1302(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1820])])).
% 58.13/9.54 tff(f47137,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1302(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38154])).
% 58.13/9.54 tff(f38154,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1302(X0))) & (($true = bG1302(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21258])).
% 58.13/9.54 tff(f21258,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1302(X0)))),
% 58.13/9.54 inference(rectify,[],[f17658])).
% 58.13/9.54 tff(f17658,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1302(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1302])])).
% 58.13/9.54 tff(f88185,plain,(
% 58.13/9.54 spl5880_1819),
% 58.13/9.54 inference(avatar_split_clause,[],[f47108,f88183])).
% 58.13/9.54 tff(f88183,plain,(
% 58.13/9.54 spl5880_1819 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1319(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1819])])).
% 58.13/9.54 tff(f47108,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1319(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38153])).
% 58.13/9.54 tff(f38153,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1319(X0))) & (($true = bG1319(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21234])).
% 58.13/9.54 tff(f21234,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1319(X0)))),
% 58.13/9.54 inference(rectify,[],[f17679])).
% 58.13/9.54 tff(f17679,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1319(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1319])])).
% 58.13/9.54 tff(f88181,plain,(
% 58.13/9.54 spl5880_1818),
% 58.13/9.54 inference(avatar_split_clause,[],[f47106,f88179])).
% 58.13/9.54 tff(f88179,plain,(
% 58.13/9.54 spl5880_1818 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1320(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1818])])).
% 58.13/9.54 tff(f47106,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1320(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38152])).
% 58.13/9.54 tff(f38152,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1320(X0))) & (($true = bG1320(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21233])).
% 58.13/9.54 tff(f21233,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1320(X0)))),
% 58.13/9.54 inference(rectify,[],[f17680])).
% 58.13/9.54 tff(f17680,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1320(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1320])])).
% 58.13/9.54 tff(f88177,plain,(
% 58.13/9.54 spl5880_1817),
% 58.13/9.54 inference(avatar_split_clause,[],[f47104,f88175])).
% 58.13/9.54 tff(f88175,plain,(
% 58.13/9.54 spl5880_1817 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1321(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1817])])).
% 58.13/9.54 tff(f47104,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1321(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38151])).
% 58.13/9.54 tff(f38151,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1321(X0))) & (($true = bG1321(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21232])).
% 58.13/9.54 tff(f21232,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1321(X0)))),
% 58.13/9.54 inference(rectify,[],[f17681])).
% 58.13/9.54 tff(f17681,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1321(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1321])])).
% 58.13/9.54 tff(f88173,plain,(
% 58.13/9.54 spl5880_1816),
% 58.13/9.54 inference(avatar_split_clause,[],[f47102,f88171])).
% 58.13/9.54 tff(f88171,plain,(
% 58.13/9.54 spl5880_1816 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1322(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1816])])).
% 58.13/9.54 tff(f47102,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1322(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38150])).
% 58.13/9.54 tff(f38150,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1322(X0))) & (($true = bG1322(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21231])).
% 58.13/9.54 tff(f21231,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1322(X0)))),
% 58.13/9.54 inference(rectify,[],[f17682])).
% 58.13/9.54 tff(f17682,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1322(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1322])])).
% 58.13/9.54 tff(f88169,plain,(
% 58.13/9.54 spl5880_1815),
% 58.13/9.54 inference(avatar_split_clause,[],[f47100,f88167])).
% 58.13/9.54 tff(f88167,plain,(
% 58.13/9.54 spl5880_1815 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1323(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1815])])).
% 58.13/9.54 tff(f47100,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1323(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38149])).
% 58.13/9.54 tff(f38149,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1323(X0))) & (($true = bG1323(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21230])).
% 58.13/9.54 tff(f21230,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1323(X0)))),
% 58.13/9.54 inference(rectify,[],[f17683])).
% 58.13/9.54 tff(f17683,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1323(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1323])])).
% 58.13/9.54 tff(f88165,plain,(
% 58.13/9.54 spl5880_1814),
% 58.13/9.54 inference(avatar_split_clause,[],[f47098,f88163])).
% 58.13/9.54 tff(f88163,plain,(
% 58.13/9.54 spl5880_1814 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1324(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1814])])).
% 58.13/9.54 tff(f47098,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1324(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38148])).
% 58.13/9.54 tff(f38148,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1324(X0))) & (($true = bG1324(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21229])).
% 58.13/9.54 tff(f21229,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1324(X0)))),
% 58.13/9.54 inference(rectify,[],[f17684])).
% 58.13/9.54 tff(f17684,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1324(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1324])])).
% 58.13/9.54 tff(f88161,plain,(
% 58.13/9.54 spl5880_1813),
% 58.13/9.54 inference(avatar_split_clause,[],[f47096,f88159])).
% 58.13/9.54 tff(f88159,plain,(
% 58.13/9.54 spl5880_1813 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1325(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1813])])).
% 58.13/9.54 tff(f47096,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1325(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38147])).
% 58.13/9.54 tff(f38147,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1325(X0))) & (($true = bG1325(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21228])).
% 58.13/9.54 tff(f21228,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1325(X0)))),
% 58.13/9.54 inference(rectify,[],[f17685])).
% 58.13/9.54 tff(f17685,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1325(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1325])])).
% 58.13/9.54 tff(f88157,plain,(
% 58.13/9.54 spl5880_1812 | ~spl5880_207 | ~spl5880_802),
% 58.13/9.54 inference(avatar_split_clause,[],[f85198,f82376,f79478,f88154])).
% 58.13/9.54 tff(f88154,plain,(
% 58.13/9.54 spl5880_1812 <=> sP1935(code_integer)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1812])])).
% 58.13/9.54 tff(f85198,plain,(
% 58.13/9.54 sP1935(code_integer) | (~spl5880_207 | ~spl5880_802)),
% 58.13/9.54 inference(resolution,[],[f82377,f79480])).
% 58.13/9.54 tff(f88152,plain,(
% 58.13/9.54 spl5880_1811),
% 58.13/9.54 inference(avatar_split_clause,[],[f47094,f88150])).
% 58.13/9.54 tff(f88150,plain,(
% 58.13/9.54 spl5880_1811 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1326(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1811])])).
% 58.13/9.54 tff(f47094,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1326(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38146])).
% 58.13/9.54 tff(f38146,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1326(X0))) & (($true = bG1326(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21227])).
% 58.13/9.54 tff(f21227,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1326(X0)))),
% 58.13/9.54 inference(rectify,[],[f17686])).
% 58.13/9.54 tff(f17686,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1326(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1326])])).
% 58.13/9.54 tff(f88148,plain,(
% 58.13/9.54 spl5880_1810),
% 58.13/9.54 inference(avatar_split_clause,[],[f47092,f88146])).
% 58.13/9.54 tff(f88146,plain,(
% 58.13/9.54 spl5880_1810 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1327(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1810])])).
% 58.13/9.54 tff(f47092,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1327(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38145])).
% 58.13/9.54 tff(f38145,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1327(X0))) & (($true = bG1327(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21226])).
% 58.13/9.54 tff(f21226,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1327(X0)))),
% 58.13/9.54 inference(rectify,[],[f17687])).
% 58.13/9.54 tff(f17687,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1327(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1327])])).
% 58.13/9.54 tff(f88144,plain,(
% 58.13/9.54 spl5880_1809),
% 58.13/9.54 inference(avatar_split_clause,[],[f47090,f88142])).
% 58.13/9.54 tff(f88142,plain,(
% 58.13/9.54 spl5880_1809 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1328(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1809])])).
% 58.13/9.54 tff(f47090,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1328(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38144])).
% 58.13/9.54 tff(f38144,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1328(X0))) & (($true = bG1328(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21225])).
% 58.13/9.54 tff(f21225,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1328(X0)))),
% 58.13/9.54 inference(rectify,[],[f17688])).
% 58.13/9.54 tff(f17688,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1328(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1328])])).
% 58.13/9.54 tff(f88140,plain,(
% 58.13/9.54 spl5880_1808),
% 58.13/9.54 inference(avatar_split_clause,[],[f47061,f88138])).
% 58.13/9.54 tff(f88138,plain,(
% 58.13/9.54 spl5880_1808 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1345(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1808])])).
% 58.13/9.54 tff(f47061,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1345(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38143])).
% 58.13/9.54 tff(f38143,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1345(X0))) & (($true = bG1345(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21201])).
% 58.13/9.54 tff(f21201,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1345(X0)))),
% 58.13/9.54 inference(rectify,[],[f17707])).
% 58.13/9.54 tff(f17707,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1345(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1345])])).
% 58.13/9.54 tff(f88136,plain,(
% 58.13/9.54 spl5880_1807),
% 58.13/9.54 inference(avatar_split_clause,[],[f47059,f88134])).
% 58.13/9.54 tff(f88134,plain,(
% 58.13/9.54 spl5880_1807 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1346(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1807])])).
% 58.13/9.54 tff(f47059,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1346(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38142])).
% 58.13/9.54 tff(f38142,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1346(X0))) & (($true = bG1346(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21200])).
% 58.13/9.54 tff(f21200,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1346(X0)))),
% 58.13/9.54 inference(rectify,[],[f17708])).
% 58.13/9.54 tff(f17708,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1346(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1346])])).
% 58.13/9.54 tff(f88132,plain,(
% 58.13/9.54 spl5880_1806),
% 58.13/9.54 inference(avatar_split_clause,[],[f47057,f88130])).
% 58.13/9.54 tff(f88130,plain,(
% 58.13/9.54 spl5880_1806 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1347(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1806])])).
% 58.13/9.54 tff(f47057,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1347(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38141])).
% 58.13/9.54 tff(f38141,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1347(X0))) & (($true = bG1347(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21199])).
% 58.13/9.54 tff(f21199,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1347(X0)))),
% 58.13/9.54 inference(rectify,[],[f17709])).
% 58.13/9.54 tff(f17709,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1347(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1347])])).
% 58.13/9.54 tff(f88128,plain,(
% 58.13/9.54 spl5880_1805),
% 58.13/9.54 inference(avatar_split_clause,[],[f47055,f88126])).
% 58.13/9.54 tff(f88126,plain,(
% 58.13/9.54 spl5880_1805 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1348(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1805])])).
% 58.13/9.54 tff(f47055,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1348(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38140])).
% 58.13/9.54 tff(f38140,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1348(X0))) & (($true = bG1348(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21198])).
% 58.13/9.54 tff(f21198,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1348(X0)))),
% 58.13/9.54 inference(rectify,[],[f17710])).
% 58.13/9.54 tff(f17710,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1348(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1348])])).
% 58.13/9.54 tff(f88124,plain,(
% 58.13/9.54 spl5880_1804),
% 58.13/9.54 inference(avatar_split_clause,[],[f47053,f88122])).
% 58.13/9.54 tff(f88122,plain,(
% 58.13/9.54 spl5880_1804 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1349(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1804])])).
% 58.13/9.54 tff(f47053,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1349(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38139])).
% 58.13/9.54 tff(f38139,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1349(X0))) & (($true = bG1349(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21197])).
% 58.13/9.54 tff(f21197,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1349(X0)))),
% 58.13/9.54 inference(rectify,[],[f17711])).
% 58.13/9.54 tff(f17711,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1349(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1349])])).
% 58.13/9.54 tff(f88120,plain,(
% 58.13/9.54 spl5880_1803),
% 58.13/9.54 inference(avatar_split_clause,[],[f47051,f88118])).
% 58.13/9.54 tff(f88118,plain,(
% 58.13/9.54 spl5880_1803 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1350(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1803])])).
% 58.13/9.54 tff(f47051,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1350(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38138])).
% 58.13/9.54 tff(f38138,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1350(X0))) & (($true = bG1350(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21196])).
% 58.13/9.54 tff(f21196,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1350(X0)))),
% 58.13/9.54 inference(rectify,[],[f17712])).
% 58.13/9.54 tff(f17712,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1350(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1350])])).
% 58.13/9.54 tff(f88116,plain,(
% 58.13/9.54 spl5880_1802),
% 58.13/9.54 inference(avatar_split_clause,[],[f47049,f88114])).
% 58.13/9.54 tff(f88114,plain,(
% 58.13/9.54 spl5880_1802 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1351(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1802])])).
% 58.13/9.54 tff(f47049,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1351(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38137])).
% 58.13/9.54 tff(f38137,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1351(X0))) & (($true = bG1351(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21195])).
% 58.13/9.54 tff(f21195,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1351(X0)))),
% 58.13/9.54 inference(rectify,[],[f17713])).
% 58.13/9.54 tff(f17713,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1351(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1351])])).
% 58.13/9.54 tff(f88112,plain,(
% 58.13/9.54 spl5880_1801 | ~spl5880_208 | ~spl5880_801),
% 58.13/9.54 inference(avatar_split_clause,[],[f85197,f82372,f79483,f88109])).
% 58.13/9.54 tff(f88109,plain,(
% 58.13/9.54 spl5880_1801 <=> sP1933(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1801])])).
% 58.13/9.54 tff(f82372,plain,(
% 58.13/9.54 spl5880_801 <=> ! [X0 : $tType] : (sP1933(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_801])])).
% 58.13/9.54 tff(f85197,plain,(
% 58.13/9.54 sP1933(int) | (~spl5880_208 | ~spl5880_801)),
% 58.13/9.54 inference(resolution,[],[f82373,f79485])).
% 58.13/9.54 tff(f82373,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1933(X0)) ) | ~spl5880_801),
% 58.13/9.54 inference(avatar_component_clause,[],[f82372])).
% 58.13/9.54 tff(f88107,plain,(
% 58.13/9.54 spl5880_1800),
% 58.13/9.54 inference(avatar_split_clause,[],[f47047,f88105])).
% 58.13/9.54 tff(f88105,plain,(
% 58.13/9.54 spl5880_1800 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1352(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1800])])).
% 58.13/9.54 tff(f47047,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1352(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38136])).
% 58.13/9.54 tff(f38136,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1352(X0))) & (($true = bG1352(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21194])).
% 58.13/9.54 tff(f21194,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1352(X0)))),
% 58.13/9.54 inference(rectify,[],[f17714])).
% 58.13/9.54 tff(f17714,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1352(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1352])])).
% 58.13/9.54 tff(f88103,plain,(
% 58.13/9.54 spl5880_1799),
% 58.13/9.54 inference(avatar_split_clause,[],[f47045,f88101])).
% 58.13/9.54 tff(f88101,plain,(
% 58.13/9.54 spl5880_1799 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1353(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1799])])).
% 58.13/9.54 tff(f47045,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1353(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38135])).
% 58.13/9.54 tff(f38135,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1353(X0))) & (($true = bG1353(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21193])).
% 58.13/9.54 tff(f21193,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1353(X0)))),
% 58.13/9.54 inference(rectify,[],[f17715])).
% 58.13/9.54 tff(f17715,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1353(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1353])])).
% 58.13/9.54 tff(f88099,plain,(
% 58.13/9.54 spl5880_1798),
% 58.13/9.54 inference(avatar_split_clause,[],[f47043,f88097])).
% 58.13/9.54 tff(f88097,plain,(
% 58.13/9.54 spl5880_1798 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1354(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1798])])).
% 58.13/9.54 tff(f47043,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1354(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38134])).
% 58.13/9.54 tff(f38134,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1354(X0))) & (($true = bG1354(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21192])).
% 58.13/9.54 tff(f21192,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1354(X0)))),
% 58.13/9.54 inference(rectify,[],[f17716])).
% 58.13/9.54 tff(f17716,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1354(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1354])])).
% 58.13/9.54 tff(f88095,plain,(
% 58.13/9.54 spl5880_1797),
% 58.13/9.54 inference(avatar_split_clause,[],[f47041,f88093])).
% 58.13/9.54 tff(f88093,plain,(
% 58.13/9.54 spl5880_1797 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1355(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1797])])).
% 58.13/9.54 tff(f47041,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1355(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38133])).
% 58.13/9.54 tff(f38133,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1355(X0))) & (($true = bG1355(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21191])).
% 58.13/9.54 tff(f21191,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1355(X0)))),
% 58.13/9.54 inference(rectify,[],[f17717])).
% 58.13/9.54 tff(f17717,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1355(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1355])])).
% 58.13/9.54 tff(f88091,plain,(
% 58.13/9.54 spl5880_1796),
% 58.13/9.54 inference(avatar_split_clause,[],[f47039,f88089])).
% 58.13/9.54 tff(f88089,plain,(
% 58.13/9.54 spl5880_1796 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1356(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1796])])).
% 58.13/9.54 tff(f47039,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1356(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38132])).
% 58.13/9.54 tff(f38132,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1356(X0))) & (($true = bG1356(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21190])).
% 58.13/9.54 tff(f21190,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1356(X0)))),
% 58.13/9.54 inference(rectify,[],[f17718])).
% 58.13/9.54 tff(f17718,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1356(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1356])])).
% 58.13/9.54 tff(f88087,plain,(
% 58.13/9.54 spl5880_1795),
% 58.13/9.54 inference(avatar_split_clause,[],[f47037,f88085])).
% 58.13/9.54 tff(f88085,plain,(
% 58.13/9.54 spl5880_1795 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1357(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1795])])).
% 58.13/9.54 tff(f47037,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1357(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38131])).
% 58.13/9.54 tff(f38131,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1357(X0))) & (($true = bG1357(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21189])).
% 58.13/9.54 tff(f21189,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1357(X0)))),
% 58.13/9.54 inference(rectify,[],[f17719])).
% 58.13/9.54 tff(f17719,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1357(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1357])])).
% 58.13/9.54 tff(f88083,plain,(
% 58.13/9.54 spl5880_1794),
% 58.13/9.54 inference(avatar_split_clause,[],[f47035,f88081])).
% 58.13/9.54 tff(f88081,plain,(
% 58.13/9.54 spl5880_1794 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1358(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1794])])).
% 58.13/9.54 tff(f47035,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1358(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38130])).
% 58.13/9.54 tff(f38130,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1358(X0))) & (($true = bG1358(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21188])).
% 58.13/9.54 tff(f21188,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1358(X0)))),
% 58.13/9.54 inference(rectify,[],[f17720])).
% 58.13/9.54 tff(f17720,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1358(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1358])])).
% 58.13/9.54 tff(f88079,plain,(
% 58.13/9.54 spl5880_1793),
% 58.13/9.54 inference(avatar_split_clause,[],[f47033,f88077])).
% 58.13/9.54 tff(f88077,plain,(
% 58.13/9.54 spl5880_1793 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1359(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1793])])).
% 58.13/9.54 tff(f47033,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1359(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38129])).
% 58.13/9.54 tff(f38129,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1359(X0))) & (($true = bG1359(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21187])).
% 58.13/9.54 tff(f21187,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1359(X0)))),
% 58.13/9.54 inference(rectify,[],[f17721])).
% 58.13/9.54 tff(f17721,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1359(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1359])])).
% 58.13/9.54 tff(f88075,plain,(
% 58.13/9.54 spl5880_1792),
% 58.13/9.54 inference(avatar_split_clause,[],[f47031,f88073])).
% 58.13/9.54 tff(f88073,plain,(
% 58.13/9.54 spl5880_1792 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1360(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1792])])).
% 58.13/9.54 tff(f47031,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1360(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38128])).
% 58.13/9.54 tff(f38128,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1360(X0))) & (($true = bG1360(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21186])).
% 58.13/9.54 tff(f21186,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1360(X0)))),
% 58.13/9.54 inference(rectify,[],[f17722])).
% 58.13/9.54 tff(f17722,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1360(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1360])])).
% 58.13/9.54 tff(f88071,plain,(
% 58.13/9.54 spl5880_1791),
% 58.13/9.54 inference(avatar_split_clause,[],[f47002,f88069])).
% 58.13/9.54 tff(f88069,plain,(
% 58.13/9.54 spl5880_1791 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1377(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1791])])).
% 58.13/9.54 tff(f47002,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1377(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38127])).
% 58.13/9.54 tff(f38127,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1377(X0))) & (($true = bG1377(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21162])).
% 58.13/9.54 tff(f21162,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1377(X0)))),
% 58.13/9.54 inference(rectify,[],[f17751])).
% 58.13/9.54 tff(f17751,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1377(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1377])])).
% 58.13/9.54 tff(f88067,plain,(
% 58.13/9.54 spl5880_1790 | ~spl5880_206 | ~spl5880_801),
% 58.13/9.54 inference(avatar_split_clause,[],[f85196,f82372,f79473,f88064])).
% 58.13/9.54 tff(f88064,plain,(
% 58.13/9.54 spl5880_1790 <=> sP1933(rat)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1790])])).
% 58.13/9.54 tff(f85196,plain,(
% 58.13/9.54 sP1933(rat) | (~spl5880_206 | ~spl5880_801)),
% 58.13/9.54 inference(resolution,[],[f82373,f79475])).
% 58.13/9.54 tff(f88062,plain,(
% 58.13/9.54 spl5880_1789),
% 58.13/9.54 inference(avatar_split_clause,[],[f47000,f88060])).
% 58.13/9.54 tff(f88060,plain,(
% 58.13/9.54 spl5880_1789 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1378(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1789])])).
% 58.13/9.54 tff(f47000,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1378(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38126])).
% 58.13/9.54 tff(f38126,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1378(X0))) & (($true = bG1378(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21161])).
% 58.13/9.54 tff(f21161,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1378(X0)))),
% 58.13/9.54 inference(rectify,[],[f17752])).
% 58.13/9.54 tff(f17752,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1378(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1378])])).
% 58.13/9.54 tff(f88058,plain,(
% 58.13/9.54 spl5880_1788),
% 58.13/9.54 inference(avatar_split_clause,[],[f46998,f88056])).
% 58.13/9.54 tff(f88056,plain,(
% 58.13/9.54 spl5880_1788 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1379(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1788])])).
% 58.13/9.54 tff(f46998,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1379(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38125])).
% 58.13/9.54 tff(f38125,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1379(X0))) & (($true = bG1379(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21160])).
% 58.13/9.54 tff(f21160,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1379(X0)))),
% 58.13/9.54 inference(rectify,[],[f17753])).
% 58.13/9.54 tff(f17753,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1379(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1379])])).
% 58.13/9.54 tff(f88054,plain,(
% 58.13/9.54 spl5880_1787),
% 58.13/9.54 inference(avatar_split_clause,[],[f46996,f88052])).
% 58.13/9.54 tff(f88052,plain,(
% 58.13/9.54 spl5880_1787 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1380(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1787])])).
% 58.13/9.54 tff(f46996,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1380(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38124])).
% 58.13/9.54 tff(f38124,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1380(X0))) & (($true = bG1380(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21159])).
% 58.13/9.54 tff(f21159,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1380(X0)))),
% 58.13/9.54 inference(rectify,[],[f17754])).
% 58.13/9.54 tff(f17754,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1380(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1380])])).
% 58.13/9.54 tff(f88050,plain,(
% 58.13/9.54 spl5880_1786),
% 58.13/9.54 inference(avatar_split_clause,[],[f46992,f88048])).
% 58.13/9.54 tff(f88048,plain,(
% 58.13/9.54 spl5880_1786 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1382(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1786])])).
% 58.13/9.54 tff(f46992,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1382(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38123])).
% 58.13/9.54 tff(f38123,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1382(X0))) & (($true = bG1382(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21156])).
% 58.13/9.54 tff(f21156,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1382(X0)))),
% 58.13/9.54 inference(rectify,[],[f17756])).
% 58.13/9.54 tff(f17756,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1382(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1382])])).
% 58.13/9.54 tff(f88046,plain,(
% 58.13/9.54 spl5880_1785),
% 58.13/9.54 inference(avatar_split_clause,[],[f46990,f88044])).
% 58.13/9.54 tff(f88044,plain,(
% 58.13/9.54 spl5880_1785 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1383(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1785])])).
% 58.13/9.54 tff(f46990,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1383(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38122])).
% 58.13/9.54 tff(f38122,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1383(X0))) & (($true = bG1383(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21155])).
% 58.13/9.54 tff(f21155,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1383(X0)))),
% 58.13/9.54 inference(rectify,[],[f17757])).
% 58.13/9.54 tff(f17757,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1383(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1383])])).
% 58.13/9.54 tff(f88042,plain,(
% 58.13/9.54 spl5880_1784),
% 58.13/9.54 inference(avatar_split_clause,[],[f46969,f88040])).
% 58.13/9.54 tff(f88040,plain,(
% 58.13/9.54 spl5880_1784 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1395(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1784])])).
% 58.13/9.54 tff(f46969,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1395(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38121])).
% 58.13/9.54 tff(f38121,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1395(X0))) & (($true = bG1395(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21137])).
% 58.13/9.54 tff(f21137,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1395(X0)))),
% 58.13/9.54 inference(rectify,[],[f17771])).
% 58.13/9.54 tff(f17771,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1395(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1395])])).
% 58.13/9.54 tff(f88038,plain,(
% 58.13/9.54 spl5880_1783),
% 58.13/9.54 inference(avatar_split_clause,[],[f46967,f88036])).
% 58.13/9.54 tff(f88036,plain,(
% 58.13/9.54 spl5880_1783 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1396(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1783])])).
% 58.13/9.54 tff(f46967,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1396(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38120])).
% 58.13/9.54 tff(f38120,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1396(X0))) & (($true = bG1396(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21136])).
% 58.13/9.54 tff(f21136,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1396(X0)))),
% 58.13/9.54 inference(rectify,[],[f17772])).
% 58.13/9.54 tff(f17772,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1396(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1396])])).
% 58.13/9.54 tff(f88034,plain,(
% 58.13/9.54 spl5880_1782),
% 58.13/9.54 inference(avatar_split_clause,[],[f46963,f88032])).
% 58.13/9.54 tff(f88032,plain,(
% 58.13/9.54 spl5880_1782 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1398(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1782])])).
% 58.13/9.54 tff(f46963,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1398(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38119])).
% 58.13/9.54 tff(f38119,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1398(X0))) & (($true = bG1398(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21133])).
% 58.13/9.54 tff(f21133,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1398(X0)))),
% 58.13/9.54 inference(rectify,[],[f17774])).
% 58.13/9.54 tff(f17774,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1398(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1398])])).
% 58.13/9.54 tff(f88030,plain,(
% 58.13/9.54 spl5880_1781),
% 58.13/9.54 inference(avatar_split_clause,[],[f46961,f88028])).
% 58.13/9.54 tff(f88028,plain,(
% 58.13/9.54 spl5880_1781 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1399(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1781])])).
% 58.13/9.54 tff(f46961,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1399(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38118])).
% 58.13/9.54 tff(f38118,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1399(X0))) & (($true = bG1399(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21132])).
% 58.13/9.54 tff(f21132,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1399(X0)))),
% 58.13/9.54 inference(rectify,[],[f17775])).
% 58.13/9.54 tff(f17775,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1399(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1399])])).
% 58.13/9.54 tff(f88026,plain,(
% 58.13/9.54 spl5880_1780),
% 58.13/9.54 inference(avatar_split_clause,[],[f46946,f88024])).
% 58.13/9.54 tff(f88024,plain,(
% 58.13/9.54 spl5880_1780 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1408(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1780])])).
% 58.13/9.54 tff(f46946,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1408(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38117])).
% 58.13/9.54 tff(f38117,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1408(X0))) & (($true = bG1408(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21120])).
% 58.13/9.54 tff(f21120,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1408(X0)))),
% 58.13/9.54 inference(rectify,[],[f17786])).
% 58.13/9.54 tff(f17786,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1408(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1408])])).
% 58.13/9.54 tff(f88022,plain,(
% 58.13/9.54 spl5880_1779 | ~spl5880_209 | ~spl5880_801),
% 58.13/9.54 inference(avatar_split_clause,[],[f85195,f82372,f79488,f88019])).
% 58.13/9.54 tff(f88019,plain,(
% 58.13/9.54 spl5880_1779 <=> sP1933(real)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1779])])).
% 58.13/9.54 tff(f85195,plain,(
% 58.13/9.54 sP1933(real) | (~spl5880_209 | ~spl5880_801)),
% 58.13/9.54 inference(resolution,[],[f82373,f79490])).
% 58.13/9.54 tff(f88017,plain,(
% 58.13/9.54 spl5880_1778),
% 58.13/9.54 inference(avatar_split_clause,[],[f46944,f88015])).
% 58.13/9.54 tff(f88015,plain,(
% 58.13/9.54 spl5880_1778 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1409(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1778])])).
% 58.13/9.54 tff(f46944,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1409(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38116])).
% 58.13/9.54 tff(f38116,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1409(X0))) & (($true = bG1409(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21119])).
% 58.13/9.54 tff(f21119,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1409(X0)))),
% 58.13/9.54 inference(rectify,[],[f17787])).
% 58.13/9.54 tff(f17787,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1409(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1409])])).
% 58.13/9.54 tff(f88013,plain,(
% 58.13/9.54 spl5880_1777),
% 58.13/9.54 inference(avatar_split_clause,[],[f46940,f88011])).
% 58.13/9.54 tff(f88011,plain,(
% 58.13/9.54 spl5880_1777 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1411(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1777])])).
% 58.13/9.54 tff(f46940,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1411(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38115])).
% 58.13/9.54 tff(f38115,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1411(X0))) & (($true = bG1411(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21116])).
% 58.13/9.54 tff(f21116,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1411(X0)))),
% 58.13/9.54 inference(rectify,[],[f17789])).
% 58.13/9.54 tff(f17789,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1411(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1411])])).
% 58.13/9.54 tff(f88009,plain,(
% 58.13/9.54 spl5880_1776),
% 58.13/9.54 inference(avatar_split_clause,[],[f46938,f88007])).
% 58.13/9.54 tff(f88007,plain,(
% 58.13/9.54 spl5880_1776 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1412(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1776])])).
% 58.13/9.54 tff(f46938,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1412(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38114])).
% 58.13/9.54 tff(f38114,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1412(X0))) & (($true = bG1412(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21115])).
% 58.13/9.54 tff(f21115,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1412(X0)))),
% 58.13/9.54 inference(rectify,[],[f17790])).
% 58.13/9.54 tff(f17790,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1412(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1412])])).
% 58.13/9.54 tff(f88005,plain,(
% 58.13/9.54 spl5880_1775),
% 58.13/9.54 inference(avatar_split_clause,[],[f46936,f88003])).
% 58.13/9.54 tff(f88003,plain,(
% 58.13/9.54 spl5880_1775 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1413(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1775])])).
% 58.13/9.54 tff(f46936,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1413(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38113])).
% 58.13/9.54 tff(f38113,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1413(X0))) & (($true = bG1413(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21114])).
% 58.13/9.54 tff(f21114,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1413(X0)))),
% 58.13/9.54 inference(rectify,[],[f17791])).
% 58.13/9.54 tff(f17791,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1413(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1413])])).
% 58.13/9.54 tff(f88001,plain,(
% 58.13/9.54 spl5880_1774),
% 58.13/9.54 inference(avatar_split_clause,[],[f46934,f87999])).
% 58.13/9.54 tff(f87999,plain,(
% 58.13/9.54 spl5880_1774 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1414(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1774])])).
% 58.13/9.54 tff(f46934,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1414(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38112])).
% 58.13/9.54 tff(f38112,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1414(X0))) & (($true = bG1414(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21113])).
% 58.13/9.54 tff(f21113,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1414(X0)))),
% 58.13/9.54 inference(rectify,[],[f17792])).
% 58.13/9.54 tff(f17792,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1414(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1414])])).
% 58.13/9.54 tff(f87997,plain,(
% 58.13/9.54 spl5880_1773),
% 58.13/9.54 inference(avatar_split_clause,[],[f46932,f87995])).
% 58.13/9.54 tff(f87995,plain,(
% 58.13/9.54 spl5880_1773 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1415(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1773])])).
% 58.13/9.54 tff(f46932,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1415(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38111])).
% 58.13/9.54 tff(f38111,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1415(X0))) & (($true = bG1415(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21112])).
% 58.13/9.54 tff(f21112,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1415(X0)))),
% 58.13/9.54 inference(rectify,[],[f17793])).
% 58.13/9.54 tff(f17793,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1415(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1415])])).
% 58.13/9.54 tff(f87993,plain,(
% 58.13/9.54 spl5880_1772),
% 58.13/9.54 inference(avatar_split_clause,[],[f46930,f87991])).
% 58.13/9.54 tff(f87991,plain,(
% 58.13/9.54 spl5880_1772 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1416(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1772])])).
% 58.13/9.54 tff(f46930,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1416(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38110])).
% 58.13/9.54 tff(f38110,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1416(X0))) & (($true = bG1416(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21111])).
% 58.13/9.54 tff(f21111,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1416(X0)))),
% 58.13/9.54 inference(rectify,[],[f17794])).
% 58.13/9.54 tff(f17794,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1416(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1416])])).
% 58.13/9.54 tff(f87989,plain,(
% 58.13/9.54 spl5880_1771),
% 58.13/9.54 inference(avatar_split_clause,[],[f46915,f87987])).
% 58.13/9.54 tff(f87987,plain,(
% 58.13/9.54 spl5880_1771 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1425(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1771])])).
% 58.13/9.54 tff(f46915,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1425(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38109])).
% 58.13/9.54 tff(f38109,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1425(X0))) & (($true = bG1425(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21099])).
% 58.13/9.54 tff(f21099,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1425(X0)))),
% 58.13/9.54 inference(rectify,[],[f17805])).
% 58.13/9.54 tff(f17805,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1425(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1425])])).
% 58.13/9.54 tff(f87985,plain,(
% 58.13/9.54 spl5880_1770),
% 58.13/9.54 inference(avatar_split_clause,[],[f46913,f87983])).
% 58.13/9.54 tff(f87983,plain,(
% 58.13/9.54 spl5880_1770 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1426(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1770])])).
% 58.13/9.54 tff(f46913,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1426(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38108])).
% 58.13/9.54 tff(f38108,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1426(X0))) & (($true = bG1426(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21098])).
% 58.13/9.54 tff(f21098,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1426(X0)))),
% 58.13/9.54 inference(rectify,[],[f17806])).
% 58.13/9.54 tff(f17806,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1426(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1426])])).
% 58.13/9.54 tff(f87981,plain,(
% 58.13/9.54 spl5880_1769),
% 58.13/9.54 inference(avatar_split_clause,[],[f46911,f87979])).
% 58.13/9.54 tff(f87979,plain,(
% 58.13/9.54 spl5880_1769 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1427(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1769])])).
% 58.13/9.54 tff(f46911,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1427(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38107])).
% 58.13/9.54 tff(f38107,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1427(X0))) & (($true = bG1427(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21097])).
% 58.13/9.54 tff(f21097,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1427(X0)))),
% 58.13/9.54 inference(rectify,[],[f17807])).
% 58.13/9.54 tff(f17807,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1427(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1427])])).
% 58.13/9.54 tff(f87977,plain,(
% 58.13/9.54 spl5880_1768 | ~spl5880_207 | ~spl5880_801),
% 58.13/9.54 inference(avatar_split_clause,[],[f85194,f82372,f79478,f87974])).
% 58.13/9.54 tff(f87974,plain,(
% 58.13/9.54 spl5880_1768 <=> sP1933(code_integer)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1768])])).
% 58.13/9.54 tff(f85194,plain,(
% 58.13/9.54 sP1933(code_integer) | (~spl5880_207 | ~spl5880_801)),
% 58.13/9.54 inference(resolution,[],[f82373,f79480])).
% 58.13/9.54 tff(f87972,plain,(
% 58.13/9.54 spl5880_1767),
% 58.13/9.54 inference(avatar_split_clause,[],[f46909,f87970])).
% 58.13/9.54 tff(f87970,plain,(
% 58.13/9.54 spl5880_1767 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1428(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1767])])).
% 58.13/9.54 tff(f46909,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1428(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38106])).
% 58.13/9.54 tff(f38106,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1428(X0))) & (($true = bG1428(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21096])).
% 58.13/9.54 tff(f21096,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1428(X0)))),
% 58.13/9.54 inference(rectify,[],[f17808])).
% 58.13/9.54 tff(f17808,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1428(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1428])])).
% 58.13/9.54 tff(f87968,plain,(
% 58.13/9.54 spl5880_1766),
% 58.13/9.54 inference(avatar_split_clause,[],[f46907,f87966])).
% 58.13/9.54 tff(f87966,plain,(
% 58.13/9.54 spl5880_1766 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1429(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1766])])).
% 58.13/9.54 tff(f46907,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1429(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38105])).
% 58.13/9.54 tff(f38105,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1429(X0))) & (($true = bG1429(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21095])).
% 58.13/9.54 tff(f21095,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1429(X0)))),
% 58.13/9.54 inference(rectify,[],[f17809])).
% 58.13/9.54 tff(f17809,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1429(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1429])])).
% 58.13/9.54 tff(f87964,plain,(
% 58.13/9.54 spl5880_1765),
% 58.13/9.54 inference(avatar_split_clause,[],[f46905,f87962])).
% 58.13/9.54 tff(f87962,plain,(
% 58.13/9.54 spl5880_1765 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1430(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1765])])).
% 58.13/9.54 tff(f46905,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1430(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38104])).
% 58.13/9.54 tff(f38104,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1430(X0))) & (($true = bG1430(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21094])).
% 58.13/9.54 tff(f21094,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1430(X0)))),
% 58.13/9.54 inference(rectify,[],[f17810])).
% 58.13/9.54 tff(f17810,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1430(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1430])])).
% 58.13/9.54 tff(f87960,plain,(
% 58.13/9.54 spl5880_1764),
% 58.13/9.54 inference(avatar_split_clause,[],[f46901,f87958])).
% 58.13/9.54 tff(f87958,plain,(
% 58.13/9.54 spl5880_1764 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1432(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1764])])).
% 58.13/9.54 tff(f46901,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1432(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38103])).
% 58.13/9.54 tff(f38103,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1432(X0))) & (($true = bG1432(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21091])).
% 58.13/9.54 tff(f21091,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1432(X0)))),
% 58.13/9.54 inference(rectify,[],[f17812])).
% 58.13/9.54 tff(f17812,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1432(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1432])])).
% 58.13/9.54 tff(f87956,plain,(
% 58.13/9.54 spl5880_1763),
% 58.13/9.54 inference(avatar_split_clause,[],[f46899,f87954])).
% 58.13/9.54 tff(f87954,plain,(
% 58.13/9.54 spl5880_1763 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1433(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1763])])).
% 58.13/9.54 tff(f46899,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1433(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38102])).
% 58.13/9.54 tff(f38102,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1433(X0))) & (($true = bG1433(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21090])).
% 58.13/9.54 tff(f21090,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1433(X0)))),
% 58.13/9.54 inference(rectify,[],[f17813])).
% 58.13/9.54 tff(f17813,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1433(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1433])])).
% 58.13/9.54 tff(f87952,plain,(
% 58.13/9.54 spl5880_1762),
% 58.13/9.54 inference(avatar_split_clause,[],[f46897,f87950])).
% 58.13/9.54 tff(f87950,plain,(
% 58.13/9.54 spl5880_1762 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1434(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1762])])).
% 58.13/9.54 tff(f46897,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1434(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38101])).
% 58.13/9.54 tff(f38101,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1434(X0))) & (($true = bG1434(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21089])).
% 58.13/9.54 tff(f21089,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1434(X0)))),
% 58.13/9.54 inference(rectify,[],[f17814])).
% 58.13/9.54 tff(f17814,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1434(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1434])])).
% 58.13/9.54 tff(f87948,plain,(
% 58.13/9.54 spl5880_1761),
% 58.13/9.54 inference(avatar_split_clause,[],[f46895,f87946])).
% 58.13/9.54 tff(f87946,plain,(
% 58.13/9.54 spl5880_1761 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1435(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1761])])).
% 58.13/9.54 tff(f46895,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1435(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38100])).
% 58.13/9.54 tff(f38100,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1435(X0))) & (($true = bG1435(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21088])).
% 58.13/9.54 tff(f21088,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1435(X0)))),
% 58.13/9.54 inference(rectify,[],[f17815])).
% 58.13/9.54 tff(f17815,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1435(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1435])])).
% 58.13/9.54 tff(f87944,plain,(
% 58.13/9.54 spl5880_1760),
% 58.13/9.54 inference(avatar_split_clause,[],[f46889,f87942])).
% 58.13/9.54 tff(f87942,plain,(
% 58.13/9.54 spl5880_1760 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1438(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1760])])).
% 58.13/9.54 tff(f46889,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1438(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38099])).
% 58.13/9.54 tff(f38099,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1438(X0))) & (($true = bG1438(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21083])).
% 58.13/9.54 tff(f21083,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1438(X0)))),
% 58.13/9.54 inference(rectify,[],[f17818])).
% 58.13/9.54 tff(f17818,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1438(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1438])])).
% 58.13/9.54 tff(f87940,plain,(
% 58.13/9.54 spl5880_1759),
% 58.13/9.54 inference(avatar_split_clause,[],[f46887,f87938])).
% 58.13/9.54 tff(f87938,plain,(
% 58.13/9.54 spl5880_1759 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1439(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1759])])).
% 58.13/9.54 tff(f46887,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1439(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38098])).
% 58.13/9.54 tff(f38098,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1439(X0))) & (($true = bG1439(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21082])).
% 58.13/9.54 tff(f21082,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1439(X0)))),
% 58.13/9.54 inference(rectify,[],[f17819])).
% 58.13/9.54 tff(f17819,plain,(
% 58.13/9.54 ! [X8 : $o] : (($true = X8) <=> ($true = bG1439(X8)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1439])])).
% 58.13/9.54 tff(f87936,plain,(
% 58.13/9.54 spl5880_1758),
% 58.13/9.54 inference(avatar_split_clause,[],[f46836,f87934])).
% 58.13/9.54 tff(f87934,plain,(
% 58.13/9.54 spl5880_1758 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1463(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1758])])).
% 58.13/9.54 tff(f46836,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1463(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38089])).
% 58.13/9.54 tff(f38089,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1463(X0))) & (($true = bG1463(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21046])).
% 58.13/9.54 tff(f21046,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1463(X0)))),
% 58.13/9.54 inference(rectify,[],[f17951])).
% 58.13/9.54 tff(f17951,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1463(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1463])])).
% 58.13/9.54 tff(f87932,plain,(
% 58.13/9.54 spl5880_1757 | ~spl5880_208 | ~spl5880_800),
% 58.13/9.54 inference(avatar_split_clause,[],[f85193,f82368,f79483,f87929])).
% 58.13/9.54 tff(f87929,plain,(
% 58.13/9.54 spl5880_1757 <=> sP1931(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1757])])).
% 58.13/9.54 tff(f82368,plain,(
% 58.13/9.54 spl5880_800 <=> ! [X0 : $tType] : (sP1931(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_800])])).
% 58.13/9.54 tff(f85193,plain,(
% 58.13/9.54 sP1931(int) | (~spl5880_208 | ~spl5880_800)),
% 58.13/9.54 inference(resolution,[],[f82369,f79485])).
% 58.13/9.54 tff(f82369,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1931(X0)) ) | ~spl5880_800),
% 58.13/9.54 inference(avatar_component_clause,[],[f82368])).
% 58.13/9.54 tff(f87927,plain,(
% 58.13/9.54 spl5880_1756),
% 58.13/9.54 inference(avatar_split_clause,[],[f46834,f87925])).
% 58.13/9.54 tff(f87925,plain,(
% 58.13/9.54 spl5880_1756 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1464(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1756])])).
% 58.13/9.54 tff(f46834,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1464(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38088])).
% 58.13/9.54 tff(f38088,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1464(X0))) & (($true = bG1464(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21045])).
% 58.13/9.54 tff(f21045,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1464(X0)))),
% 58.13/9.54 inference(rectify,[],[f17952])).
% 58.13/9.54 tff(f17952,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1464(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1464])])).
% 58.13/9.54 tff(f87923,plain,(
% 58.13/9.54 spl5880_1755),
% 58.13/9.54 inference(avatar_split_clause,[],[f46826,f87921])).
% 58.13/9.54 tff(f87921,plain,(
% 58.13/9.54 spl5880_1755 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1468(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1755])])).
% 58.13/9.54 tff(f46826,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1468(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38080])).
% 58.13/9.54 tff(f38080,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1468(X0))) & (($true = bG1468(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21041])).
% 58.13/9.54 tff(f21041,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1468(X0)))),
% 58.13/9.54 inference(rectify,[],[f17958])).
% 58.13/9.54 tff(f17958,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1468(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1468])])).
% 58.13/9.54 tff(f87919,plain,(
% 58.13/9.54 spl5880_1754),
% 58.13/9.54 inference(avatar_split_clause,[],[f46824,f87917])).
% 58.13/9.54 tff(f87917,plain,(
% 58.13/9.54 spl5880_1754 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1469(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1754])])).
% 58.13/9.54 tff(f46824,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1469(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38079])).
% 58.13/9.54 tff(f38079,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1469(X0))) & (($true = bG1469(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21040])).
% 58.13/9.54 tff(f21040,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1469(X0)))),
% 58.13/9.54 inference(rectify,[],[f17959])).
% 58.13/9.54 tff(f17959,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1469(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1469])])).
% 58.13/9.54 tff(f87915,plain,(
% 58.13/9.54 spl5880_1753),
% 58.13/9.54 inference(avatar_split_clause,[],[f46822,f87913])).
% 58.13/9.54 tff(f87913,plain,(
% 58.13/9.54 spl5880_1753 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1470(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1753])])).
% 58.13/9.54 tff(f46822,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1470(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38078])).
% 58.13/9.54 tff(f38078,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1470(X0))) & (($true = bG1470(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21039])).
% 58.13/9.54 tff(f21039,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1470(X0)))),
% 58.13/9.54 inference(rectify,[],[f17960])).
% 58.13/9.54 tff(f17960,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1470(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1470])])).
% 58.13/9.54 tff(f87911,plain,(
% 58.13/9.54 spl5880_1752),
% 58.13/9.54 inference(avatar_split_clause,[],[f46820,f87909])).
% 58.13/9.54 tff(f87909,plain,(
% 58.13/9.54 spl5880_1752 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1471(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1752])])).
% 58.13/9.54 tff(f46820,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1471(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38077])).
% 58.13/9.54 tff(f38077,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1471(X0))) & (($true = bG1471(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21038])).
% 58.13/9.54 tff(f21038,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1471(X0)))),
% 58.13/9.54 inference(rectify,[],[f17961])).
% 58.13/9.54 tff(f17961,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1471(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1471])])).
% 58.13/9.54 tff(f87907,plain,(
% 58.13/9.54 spl5880_1751),
% 58.13/9.54 inference(avatar_split_clause,[],[f46812,f87905])).
% 58.13/9.54 tff(f87905,plain,(
% 58.13/9.54 spl5880_1751 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1475(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1751])])).
% 58.13/9.54 tff(f46812,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1475(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38069])).
% 58.13/9.54 tff(f38069,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1475(X0))) & (($true = bG1475(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21034])).
% 58.13/9.54 tff(f21034,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1475(X0)))),
% 58.13/9.54 inference(rectify,[],[f17967])).
% 58.13/9.54 tff(f87903,plain,(
% 58.13/9.54 spl5880_1750),
% 58.13/9.54 inference(avatar_split_clause,[],[f46810,f87901])).
% 58.13/9.54 tff(f87901,plain,(
% 58.13/9.54 spl5880_1750 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1476(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1750])])).
% 58.13/9.54 tff(f46810,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1476(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38068])).
% 58.13/9.54 tff(f38068,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1476(X0))) & (($true = bG1476(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21033])).
% 58.13/9.54 tff(f21033,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1476(X0)))),
% 58.13/9.54 inference(rectify,[],[f17968])).
% 58.13/9.54 tff(f87898,plain,(
% 58.13/9.54 spl5880_1749),
% 58.13/9.54 inference(avatar_split_clause,[],[f46808,f87896])).
% 58.13/9.54 tff(f46808,plain,(
% 58.13/9.54 ( ! [X0 : nat,X1 : $o] : (~iG1477(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38067])).
% 58.13/9.54 tff(f87894,plain,(
% 58.13/9.54 spl5880_1748),
% 58.13/9.54 inference(avatar_split_clause,[],[f46797,f87892])).
% 58.13/9.54 tff(f87892,plain,(
% 58.13/9.54 spl5880_1748 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1481(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1748])])).
% 58.13/9.54 tff(f46797,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1481(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38064])).
% 58.13/9.54 tff(f38064,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1481(X0))) & (($true = bG1481(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21023])).
% 58.13/9.54 tff(f21023,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1481(X0)))),
% 58.13/9.54 inference(rectify,[],[f17975])).
% 58.13/9.54 tff(f17975,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1481(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1481])])).
% 58.13/9.54 tff(f87890,plain,(
% 58.13/9.54 spl5880_1747),
% 58.13/9.54 inference(avatar_split_clause,[],[f46795,f87888])).
% 58.13/9.54 tff(f87888,plain,(
% 58.13/9.54 spl5880_1747 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1482(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1747])])).
% 58.13/9.54 tff(f46795,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1482(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38063])).
% 58.13/9.54 tff(f38063,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1482(X0))) & (($true = bG1482(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21022])).
% 58.13/9.54 tff(f21022,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1482(X0)))),
% 58.13/9.54 inference(rectify,[],[f17976])).
% 58.13/9.54 tff(f17976,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1482(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1482])])).
% 58.13/9.54 tff(f87886,plain,(
% 58.13/9.54 spl5880_1746 | ~spl5880_206 | ~spl5880_800),
% 58.13/9.54 inference(avatar_split_clause,[],[f85192,f82368,f79473,f87883])).
% 58.13/9.54 tff(f87883,plain,(
% 58.13/9.54 spl5880_1746 <=> sP1931(rat)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1746])])).
% 58.13/9.54 tff(f85192,plain,(
% 58.13/9.54 sP1931(rat) | (~spl5880_206 | ~spl5880_800)),
% 58.13/9.54 inference(resolution,[],[f82369,f79475])).
% 58.13/9.54 tff(f87881,plain,(
% 58.13/9.54 spl5880_1745),
% 58.13/9.54 inference(avatar_split_clause,[],[f46793,f87879])).
% 58.13/9.54 tff(f87879,plain,(
% 58.13/9.54 spl5880_1745 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1483(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1745])])).
% 58.13/9.54 tff(f46793,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1483(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38062])).
% 58.13/9.54 tff(f38062,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1483(X0))) & (($true = bG1483(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21021])).
% 58.13/9.54 tff(f21021,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1483(X0)))),
% 58.13/9.54 inference(rectify,[],[f17977])).
% 58.13/9.54 tff(f17977,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1483(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1483])])).
% 58.13/9.54 tff(f87877,plain,(
% 58.13/9.54 spl5880_1744),
% 58.13/9.54 inference(avatar_split_clause,[],[f46791,f87875])).
% 58.13/9.54 tff(f87875,plain,(
% 58.13/9.54 spl5880_1744 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1484(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1744])])).
% 58.13/9.54 tff(f46791,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1484(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38061])).
% 58.13/9.54 tff(f38061,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1484(X0))) & (($true = bG1484(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21020])).
% 58.13/9.54 tff(f21020,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1484(X0)))),
% 58.13/9.54 inference(rectify,[],[f17978])).
% 58.13/9.54 tff(f17978,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1484(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1484])])).
% 58.13/9.54 tff(f87873,plain,(
% 58.13/9.54 spl5880_1743),
% 58.13/9.54 inference(avatar_split_clause,[],[f46785,f87871])).
% 58.13/9.54 tff(f87871,plain,(
% 58.13/9.54 spl5880_1743 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1487(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1743])])).
% 58.13/9.54 tff(f46785,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1487(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38060])).
% 58.13/9.54 tff(f38060,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1487(X0))) & (($true = bG1487(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21015])).
% 58.13/9.54 tff(f21015,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1487(X0)))),
% 58.13/9.54 inference(rectify,[],[f17981])).
% 58.13/9.54 tff(f17981,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1487(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1487])])).
% 58.13/9.54 tff(f87869,plain,(
% 58.13/9.54 spl5880_1742),
% 58.13/9.54 inference(avatar_split_clause,[],[f46783,f87867])).
% 58.13/9.54 tff(f87867,plain,(
% 58.13/9.54 spl5880_1742 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1488(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1742])])).
% 58.13/9.54 tff(f46783,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1488(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38059])).
% 58.13/9.54 tff(f38059,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1488(X0))) & (($true = bG1488(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21014])).
% 58.13/9.54 tff(f21014,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1488(X0)))),
% 58.13/9.54 inference(rectify,[],[f17982])).
% 58.13/9.54 tff(f17982,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1488(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1488])])).
% 58.13/9.54 tff(f87865,plain,(
% 58.13/9.54 spl5880_1741),
% 58.13/9.54 inference(avatar_split_clause,[],[f46776,f87863])).
% 58.13/9.54 tff(f87863,plain,(
% 58.13/9.54 spl5880_1741 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1492(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1741])])).
% 58.13/9.54 tff(f46776,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1492(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38057])).
% 58.13/9.54 tff(f38057,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1492(X0))) & (($true = bG1492(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21009])).
% 58.13/9.54 tff(f21009,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1492(X0)))),
% 58.13/9.54 inference(rectify,[],[f17988])).
% 58.13/9.54 tff(f17988,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1492(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1492])])).
% 58.13/9.54 tff(f87861,plain,(
% 58.13/9.54 spl5880_1740),
% 58.13/9.54 inference(avatar_split_clause,[],[f46774,f87859])).
% 58.13/9.54 tff(f87859,plain,(
% 58.13/9.54 spl5880_1740 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1493(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1740])])).
% 58.13/9.54 tff(f46774,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1493(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38056])).
% 58.13/9.54 tff(f38056,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1493(X0))) & (($true = bG1493(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f21008])).
% 58.13/9.54 tff(f21008,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1493(X0)))),
% 58.13/9.54 inference(rectify,[],[f17989])).
% 58.13/9.54 tff(f17989,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1493(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1493])])).
% 58.13/9.54 tff(f87857,plain,(
% 58.13/9.54 spl5880_1739),
% 58.13/9.54 inference(avatar_split_clause,[],[f46764,f87855])).
% 58.13/9.54 tff(f87855,plain,(
% 58.13/9.54 spl5880_1739 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1498(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1739])])).
% 58.13/9.54 tff(f46764,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1498(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38053])).
% 58.13/9.54 tff(f38053,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1498(X0))) & (($true = bG1498(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20999])).
% 58.13/9.54 tff(f20999,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1498(X0)))),
% 58.13/9.54 inference(rectify,[],[f17996])).
% 58.13/9.54 tff(f17996,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1498(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1498])])).
% 58.13/9.54 tff(f87853,plain,(
% 58.13/9.54 spl5880_1738),
% 58.13/9.54 inference(avatar_split_clause,[],[f46762,f87851])).
% 58.13/9.54 tff(f87851,plain,(
% 58.13/9.54 spl5880_1738 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1499(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1738])])).
% 58.13/9.54 tff(f46762,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1499(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38052])).
% 58.13/9.54 tff(f38052,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1499(X0))) & (($true = bG1499(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20998])).
% 58.13/9.54 tff(f20998,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1499(X0)))),
% 58.13/9.54 inference(rectify,[],[f17997])).
% 58.13/9.54 tff(f17997,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1499(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1499])])).
% 58.13/9.54 tff(f87849,plain,(
% 58.13/9.54 spl5880_1737),
% 58.13/9.54 inference(avatar_split_clause,[],[f46760,f87847])).
% 58.13/9.54 tff(f87847,plain,(
% 58.13/9.54 spl5880_1737 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1500(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1737])])).
% 58.13/9.54 tff(f46760,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1500(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38051])).
% 58.13/9.54 tff(f38051,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1500(X0))) & (($true = bG1500(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20997])).
% 58.13/9.54 tff(f20997,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1500(X0)))),
% 58.13/9.54 inference(rectify,[],[f17998])).
% 58.13/9.54 tff(f17998,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1500(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1500])])).
% 58.13/9.54 tff(f87845,plain,(
% 58.13/9.54 spl5880_1736),
% 58.13/9.54 inference(avatar_split_clause,[],[f46758,f87843])).
% 58.13/9.54 tff(f87843,plain,(
% 58.13/9.54 spl5880_1736 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1501(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1736])])).
% 58.13/9.54 tff(f46758,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1501(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38050])).
% 58.13/9.54 tff(f38050,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1501(X0))) & (($true = bG1501(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20996])).
% 58.13/9.54 tff(f20996,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1501(X0)))),
% 58.13/9.54 inference(rectify,[],[f17999])).
% 58.13/9.54 tff(f17999,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1501(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1501])])).
% 58.13/9.54 tff(f87841,plain,(
% 58.13/9.54 spl5880_1735 | ~spl5880_209 | ~spl5880_800),
% 58.13/9.54 inference(avatar_split_clause,[],[f85191,f82368,f79488,f87838])).
% 58.13/9.54 tff(f87838,plain,(
% 58.13/9.54 spl5880_1735 <=> sP1931(real)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1735])])).
% 58.13/9.54 tff(f85191,plain,(
% 58.13/9.54 sP1931(real) | (~spl5880_209 | ~spl5880_800)),
% 58.13/9.54 inference(resolution,[],[f82369,f79490])).
% 58.13/9.54 tff(f87836,plain,(
% 58.13/9.54 spl5880_1734),
% 58.13/9.54 inference(avatar_split_clause,[],[f46747,f87834])).
% 58.13/9.54 tff(f87834,plain,(
% 58.13/9.54 spl5880_1734 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1507(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1734])])).
% 58.13/9.54 tff(f46747,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1507(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38047])).
% 58.13/9.54 tff(f38047,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1507(X0))) & (($true = bG1507(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20987])).
% 58.13/9.54 tff(f20987,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1507(X0)))),
% 58.13/9.54 inference(rectify,[],[f18007])).
% 58.13/9.54 tff(f18007,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1507(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1507])])).
% 58.13/9.54 tff(f87832,plain,(
% 58.13/9.54 spl5880_1733),
% 58.13/9.54 inference(avatar_split_clause,[],[f46745,f87830])).
% 58.13/9.54 tff(f87830,plain,(
% 58.13/9.54 spl5880_1733 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1508(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1733])])).
% 58.13/9.54 tff(f46745,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1508(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38046])).
% 58.13/9.54 tff(f38046,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1508(X0))) & (($true = bG1508(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20986])).
% 58.13/9.54 tff(f20986,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1508(X0)))),
% 58.13/9.54 inference(rectify,[],[f18008])).
% 58.13/9.54 tff(f18008,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1508(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1508])])).
% 58.13/9.54 tff(f87827,plain,(
% 58.13/9.54 spl5880_1732),
% 58.13/9.54 inference(avatar_split_clause,[],[f46743,f87825])).
% 58.13/9.54 tff(f46743,plain,(
% 58.13/9.54 ( ! [X0 : nat,X1 : $o] : (~iG1509(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38045])).
% 58.13/9.54 tff(f87823,plain,(
% 58.13/9.54 spl5880_1731),
% 58.13/9.54 inference(avatar_split_clause,[],[f46720,f87821])).
% 58.13/9.54 tff(f87821,plain,(
% 58.13/9.54 spl5880_1731 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1517(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1731])])).
% 58.13/9.54 tff(f46720,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1517(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38038])).
% 58.13/9.54 tff(f38038,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1517(X0))) & (($true = bG1517(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20964])).
% 58.13/9.54 tff(f20964,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1517(X0)))),
% 58.13/9.54 inference(rectify,[],[f18019])).
% 58.13/9.54 tff(f18019,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1517(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1517])])).
% 58.13/9.54 tff(f87819,plain,(
% 58.13/9.54 spl5880_1730),
% 58.13/9.54 inference(avatar_split_clause,[],[f46718,f87817])).
% 58.13/9.54 tff(f87817,plain,(
% 58.13/9.54 spl5880_1730 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1518(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1730])])).
% 58.13/9.54 tff(f46718,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1518(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38037])).
% 58.13/9.54 tff(f38037,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1518(X0))) & (($true = bG1518(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20963])).
% 58.13/9.54 tff(f20963,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1518(X0)))),
% 58.13/9.54 inference(rectify,[],[f18020])).
% 58.13/9.54 tff(f18020,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1518(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1518])])).
% 58.13/9.54 tff(f87815,plain,(
% 58.13/9.54 spl5880_1729),
% 58.13/9.54 inference(avatar_split_clause,[],[f46716,f87813])).
% 58.13/9.54 tff(f87813,plain,(
% 58.13/9.54 spl5880_1729 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1519(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1729])])).
% 58.13/9.54 tff(f46716,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1519(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38036])).
% 58.13/9.54 tff(f38036,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1519(X0))) & (($true = bG1519(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20962])).
% 58.13/9.54 tff(f20962,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1519(X0)))),
% 58.13/9.54 inference(rectify,[],[f18021])).
% 58.13/9.54 tff(f18021,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1519(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1519])])).
% 58.13/9.54 tff(f87811,plain,(
% 58.13/9.54 spl5880_1728),
% 58.13/9.54 inference(avatar_split_clause,[],[f46714,f87809])).
% 58.13/9.54 tff(f87809,plain,(
% 58.13/9.54 spl5880_1728 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1520(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1728])])).
% 58.13/9.54 tff(f46714,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1520(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38035])).
% 58.13/9.54 tff(f38035,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1520(X0))) & (($true = bG1520(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20961])).
% 58.13/9.54 tff(f20961,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1520(X0)))),
% 58.13/9.54 inference(rectify,[],[f18022])).
% 58.13/9.54 tff(f18022,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1520(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1520])])).
% 58.13/9.54 tff(f87807,plain,(
% 58.13/9.54 spl5880_1727),
% 58.13/9.54 inference(avatar_split_clause,[],[f46708,f87805])).
% 58.13/9.54 tff(f87805,plain,(
% 58.13/9.54 spl5880_1727 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1523(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1727])])).
% 58.13/9.54 tff(f46708,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1523(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38034])).
% 58.13/9.54 tff(f38034,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1523(X0))) & (($true = bG1523(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20956])).
% 58.13/9.54 tff(f20956,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1523(X0)))),
% 58.13/9.54 inference(rectify,[],[f18025])).
% 58.13/9.54 tff(f18025,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1523(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1523])])).
% 58.13/9.54 tff(f87803,plain,(
% 58.13/9.54 spl5880_1726),
% 58.13/9.54 inference(avatar_split_clause,[],[f46706,f87801])).
% 58.13/9.54 tff(f87801,plain,(
% 58.13/9.54 spl5880_1726 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1524(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1726])])).
% 58.13/9.54 tff(f46706,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1524(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38033])).
% 58.13/9.54 tff(f38033,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1524(X0))) & (($true = bG1524(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20955])).
% 58.13/9.54 tff(f20955,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1524(X0)))),
% 58.13/9.54 inference(rectify,[],[f18026])).
% 58.13/9.54 tff(f18026,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1524(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1524])])).
% 58.13/9.54 tff(f87799,plain,(
% 58.13/9.54 spl5880_1725),
% 58.13/9.54 inference(avatar_split_clause,[],[f46689,f87797])).
% 58.13/9.54 tff(f87797,plain,(
% 58.13/9.54 spl5880_1725 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1533(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1725])])).
% 58.13/9.54 tff(f46689,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1533(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38032])).
% 58.13/9.54 tff(f38032,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1533(X0))) & (($true = bG1533(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f18681])).
% 58.13/9.54 tff(f87795,plain,(
% 58.13/9.54 spl5880_1724 | ~spl5880_207 | ~spl5880_800),
% 58.13/9.54 inference(avatar_split_clause,[],[f85190,f82368,f79478,f87792])).
% 58.13/9.54 tff(f87792,plain,(
% 58.13/9.54 spl5880_1724 <=> sP1931(code_integer)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1724])])).
% 58.13/9.54 tff(f85190,plain,(
% 58.13/9.54 sP1931(code_integer) | (~spl5880_207 | ~spl5880_800)),
% 58.13/9.54 inference(resolution,[],[f82369,f79480])).
% 58.13/9.54 tff(f87790,plain,(
% 58.13/9.54 spl5880_1723),
% 58.13/9.54 inference(avatar_split_clause,[],[f46687,f87788])).
% 58.13/9.54 tff(f87788,plain,(
% 58.13/9.54 spl5880_1723 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1534(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1723])])).
% 58.13/9.54 tff(f46687,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1534(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38031])).
% 58.13/9.54 tff(f38031,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1534(X0))) & (($true = bG1534(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20939])).
% 58.13/9.54 tff(f20939,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1534(X0)))),
% 58.13/9.54 inference(rectify,[],[f18682])).
% 58.13/9.54 tff(f87786,plain,(
% 58.13/9.54 spl5880_1722),
% 58.13/9.54 inference(avatar_split_clause,[],[f46685,f87784])).
% 58.13/9.54 tff(f87784,plain,(
% 58.13/9.54 spl5880_1722 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1535(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1722])])).
% 58.13/9.54 tff(f46685,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1535(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38030])).
% 58.13/9.54 tff(f38030,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1535(X0))) & (($true = bG1535(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f18685])).
% 58.13/9.54 tff(f87782,plain,(
% 58.13/9.54 spl5880_1721),
% 58.13/9.54 inference(avatar_split_clause,[],[f46683,f87780])).
% 58.13/9.54 tff(f87780,plain,(
% 58.13/9.54 spl5880_1721 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1536(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1721])])).
% 58.13/9.54 tff(f46683,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1536(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38029])).
% 58.13/9.54 tff(f38029,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1536(X0))) & (($true = bG1536(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20938])).
% 58.13/9.54 tff(f20938,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1536(X0)))),
% 58.13/9.54 inference(rectify,[],[f18686])).
% 58.13/9.54 tff(f87777,plain,(
% 58.13/9.54 spl5880_1720),
% 58.13/9.54 inference(avatar_split_clause,[],[f46681,f87775])).
% 58.13/9.54 tff(f46681,plain,(
% 58.13/9.54 ( ! [X0 : nat,X1 : $o] : (~iG1537(X0,X1) | one_one(nat) = X0) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38028])).
% 58.13/9.54 tff(f87773,plain,(
% 58.13/9.54 spl5880_1719),
% 58.13/9.54 inference(avatar_split_clause,[],[f46674,f87771])).
% 58.13/9.54 tff(f87771,plain,(
% 58.13/9.54 spl5880_1719 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1539(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1719])])).
% 58.13/9.54 tff(f46674,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1539(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38026])).
% 58.13/9.54 tff(f38026,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1539(X0))) & (($true = bG1539(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f18893])).
% 58.13/9.54 tff(f87769,plain,(
% 58.13/9.54 spl5880_1718),
% 58.13/9.54 inference(avatar_split_clause,[],[f46672,f87767])).
% 58.13/9.54 tff(f87767,plain,(
% 58.13/9.54 spl5880_1718 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1540(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1718])])).
% 58.13/9.54 tff(f46672,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1540(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38025])).
% 58.13/9.54 tff(f38025,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1540(X0))) & (($true = bG1540(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20932])).
% 58.13/9.54 tff(f20932,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1540(X0)))),
% 58.13/9.54 inference(rectify,[],[f18894])).
% 58.13/9.54 tff(f87765,plain,(
% 58.13/9.54 spl5880_1717),
% 58.13/9.54 inference(avatar_split_clause,[],[f46666,f87763])).
% 58.13/9.54 tff(f87763,plain,(
% 58.13/9.54 spl5880_1717 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1543(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1717])])).
% 58.13/9.54 tff(f46666,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1543(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38024])).
% 58.13/9.54 tff(f38024,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1543(X0))) & (($true = bG1543(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f18897])).
% 58.13/9.54 tff(f87761,plain,(
% 58.13/9.54 spl5880_1716),
% 58.13/9.54 inference(avatar_split_clause,[],[f46664,f87759])).
% 58.13/9.54 tff(f87759,plain,(
% 58.13/9.54 spl5880_1716 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1544(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1716])])).
% 58.13/9.54 tff(f46664,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1544(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38023])).
% 58.13/9.54 tff(f38023,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1544(X0))) & (($true = bG1544(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20927])).
% 58.13/9.54 tff(f20927,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1544(X0)))),
% 58.13/9.54 inference(rectify,[],[f18898])).
% 58.13/9.54 tff(f87757,plain,(
% 58.13/9.54 spl5880_1715),
% 58.13/9.54 inference(avatar_split_clause,[],[f46616,f87755])).
% 58.13/9.54 tff(f87755,plain,(
% 58.13/9.54 spl5880_1715 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1566(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1715])])).
% 58.13/9.54 tff(f46616,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1566(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38018])).
% 58.13/9.54 tff(f38018,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1566(X0))) & (($true = bG1566(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20890])).
% 58.13/9.54 tff(f20890,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1566(X0)))),
% 58.13/9.54 inference(rectify,[],[f19320])).
% 58.13/9.54 tff(f19320,plain,(
% 58.13/9.54 ! [X1 : $o] : (($true = X1) <=> ($true = bG1566(X1)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1566])])).
% 58.13/9.54 tff(f87753,plain,(
% 58.13/9.54 spl5880_1714),
% 58.13/9.54 inference(avatar_split_clause,[],[f46600,f87751])).
% 58.13/9.54 tff(f87751,plain,(
% 58.13/9.54 spl5880_1714 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1571(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1714])])).
% 58.13/9.54 tff(f46600,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1571(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38012])).
% 58.13/9.54 tff(f38012,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1571(X0))) & (($true = bG1571(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f19349])).
% 58.13/9.54 tff(f87749,plain,(
% 58.13/9.54 spl5880_1713 | ~spl5880_208 | ~spl5880_799),
% 58.13/9.54 inference(avatar_split_clause,[],[f85189,f82364,f79483,f87746])).
% 58.13/9.54 tff(f87746,plain,(
% 58.13/9.54 spl5880_1713 <=> sP1929(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1713])])).
% 58.13/9.54 tff(f82364,plain,(
% 58.13/9.54 spl5880_799 <=> ! [X0 : $tType] : (sP1929(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_799])])).
% 58.13/9.54 tff(f85189,plain,(
% 58.13/9.54 sP1929(int) | (~spl5880_208 | ~spl5880_799)),
% 58.13/9.54 inference(resolution,[],[f82365,f79485])).
% 58.13/9.54 tff(f82365,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1929(X0)) ) | ~spl5880_799),
% 58.13/9.54 inference(avatar_component_clause,[],[f82364])).
% 58.13/9.54 tff(f87744,plain,(
% 58.13/9.54 spl5880_1712),
% 58.13/9.54 inference(avatar_split_clause,[],[f46598,f87742])).
% 58.13/9.54 tff(f87742,plain,(
% 58.13/9.54 spl5880_1712 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1572(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1712])])).
% 58.13/9.54 tff(f46598,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1572(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38011])).
% 58.13/9.54 tff(f38011,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1572(X0))) & (($true = bG1572(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20881])).
% 58.13/9.54 tff(f20881,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1572(X0)))),
% 58.13/9.54 inference(rectify,[],[f19350])).
% 58.13/9.54 tff(f87740,plain,(
% 58.13/9.54 spl5880_1711),
% 58.13/9.54 inference(avatar_split_clause,[],[f46596,f87738])).
% 58.13/9.54 tff(f87738,plain,(
% 58.13/9.54 spl5880_1711 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1573(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1711])])).
% 58.13/9.54 tff(f46596,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1573(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38010])).
% 58.13/9.54 tff(f38010,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1573(X0))) & (($true = bG1573(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20880])).
% 58.13/9.54 tff(f20880,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1573(X0)))),
% 58.13/9.54 inference(rectify,[],[f19351])).
% 58.13/9.54 tff(f87736,plain,(
% 58.13/9.54 spl5880_1710),
% 58.13/9.54 inference(avatar_split_clause,[],[f46594,f87734])).
% 58.13/9.54 tff(f87734,plain,(
% 58.13/9.54 spl5880_1710 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1574(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1710])])).
% 58.13/9.54 tff(f46594,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1574(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f38009])).
% 58.13/9.54 tff(f38009,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1574(X0))) & (($true = bG1574(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20879])).
% 58.13/9.54 tff(f20879,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1574(X0)))),
% 58.13/9.54 inference(rectify,[],[f19352])).
% 58.13/9.54 tff(f87732,plain,(
% 58.13/9.54 spl5880_1709),
% 58.13/9.54 inference(avatar_split_clause,[],[f46537,f87730])).
% 58.13/9.54 tff(f87730,plain,(
% 58.13/9.54 spl5880_1709 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1601(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1709])])).
% 58.13/9.54 tff(f46537,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1601(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37998])).
% 58.13/9.54 tff(f37998,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1601(X0))) & (($true = bG1601(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20830])).
% 58.13/9.54 tff(f20830,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1601(X0)))),
% 58.13/9.54 inference(rectify,[],[f19835])).
% 58.13/9.54 tff(f87728,plain,(
% 58.13/9.54 spl5880_1708),
% 58.13/9.54 inference(avatar_split_clause,[],[f46535,f87726])).
% 58.13/9.54 tff(f87726,plain,(
% 58.13/9.54 spl5880_1708 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1602(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1708])])).
% 58.13/9.54 tff(f46535,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1602(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37997])).
% 58.13/9.54 tff(f37997,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1602(X0))) & (($true = bG1602(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20829])).
% 58.13/9.54 tff(f20829,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1602(X0)))),
% 58.13/9.54 inference(rectify,[],[f19836])).
% 58.13/9.54 tff(f87724,plain,(
% 58.13/9.54 spl5880_1707),
% 58.13/9.54 inference(avatar_split_clause,[],[f46208,f87722])).
% 58.13/9.54 tff(f87722,plain,(
% 58.13/9.54 spl5880_1707 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1785(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1707])])).
% 58.13/9.54 tff(f46208,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1785(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37981])).
% 58.13/9.54 tff(f37981,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1785(X0))) & (($true = bG1785(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20307])).
% 58.13/9.54 tff(f20307,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1785(X0)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1785])])).
% 58.13/9.54 tff(f87720,plain,(
% 58.13/9.54 spl5880_1706),
% 58.13/9.54 inference(avatar_split_clause,[],[f46206,f87718])).
% 58.13/9.54 tff(f87718,plain,(
% 58.13/9.54 spl5880_1706 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1786(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1706])])).
% 58.13/9.54 tff(f46206,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1786(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37980])).
% 58.13/9.54 tff(f37980,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1786(X0))) & (($true = bG1786(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20556])).
% 58.13/9.54 tff(f20556,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1786(X0)))),
% 58.13/9.54 inference(rectify,[],[f20308])).
% 58.13/9.54 tff(f20308,plain,(
% 58.13/9.54 ! [X1 : $o] : (($true = X1) <=> ($true = bG1786(X1)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1786])])).
% 58.13/9.54 tff(f87716,plain,(
% 58.13/9.54 spl5880_1705),
% 58.13/9.54 inference(avatar_split_clause,[],[f46204,f87714])).
% 58.13/9.54 tff(f87714,plain,(
% 58.13/9.54 spl5880_1705 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1787(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1705])])).
% 58.13/9.54 tff(f46204,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1787(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37979])).
% 58.13/9.54 tff(f37979,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1787(X0))) & (($true = bG1787(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20555])).
% 58.13/9.54 tff(f20555,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1787(X0)))),
% 58.13/9.54 inference(rectify,[],[f20309])).
% 58.13/9.54 tff(f20309,plain,(
% 58.13/9.54 ! [X2 : $o] : (($true = X2) <=> ($true = bG1787(X2)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1787])])).
% 58.13/9.54 tff(f87712,plain,(
% 58.13/9.54 spl5880_1704),
% 58.13/9.54 inference(avatar_split_clause,[],[f46202,f87710])).
% 58.13/9.54 tff(f87710,plain,(
% 58.13/9.54 spl5880_1704 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1788(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1704])])).
% 58.13/9.54 tff(f46202,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1788(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37978])).
% 58.13/9.54 tff(f37978,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1788(X0))) & (($true = bG1788(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20554])).
% 58.13/9.54 tff(f20554,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1788(X0)))),
% 58.13/9.54 inference(rectify,[],[f20310])).
% 58.13/9.54 tff(f20310,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1788(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1788])])).
% 58.13/9.54 tff(f87708,plain,(
% 58.13/9.54 spl5880_1703),
% 58.13/9.54 inference(avatar_split_clause,[],[f46200,f87706])).
% 58.13/9.54 tff(f87706,plain,(
% 58.13/9.54 spl5880_1703 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1789(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1703])])).
% 58.13/9.54 tff(f46200,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1789(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37977])).
% 58.13/9.54 tff(f37977,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1789(X0))) & (($true = bG1789(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20553])).
% 58.13/9.54 tff(f20553,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1789(X0)))),
% 58.13/9.54 inference(rectify,[],[f20311])).
% 58.13/9.54 tff(f20311,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1789(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1789])])).
% 58.13/9.54 tff(f87704,plain,(
% 58.13/9.54 spl5880_1702 | ~spl5880_206 | ~spl5880_799),
% 58.13/9.54 inference(avatar_split_clause,[],[f85188,f82364,f79473,f87701])).
% 58.13/9.54 tff(f87701,plain,(
% 58.13/9.54 spl5880_1702 <=> sP1929(rat)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1702])])).
% 58.13/9.54 tff(f85188,plain,(
% 58.13/9.54 sP1929(rat) | (~spl5880_206 | ~spl5880_799)),
% 58.13/9.54 inference(resolution,[],[f82365,f79475])).
% 58.13/9.54 tff(f87699,plain,(
% 58.13/9.54 spl5880_1701),
% 58.13/9.54 inference(avatar_split_clause,[],[f46198,f87697])).
% 58.13/9.54 tff(f87697,plain,(
% 58.13/9.54 spl5880_1701 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1790(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1701])])).
% 58.13/9.54 tff(f46198,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1790(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37976])).
% 58.13/9.54 tff(f37976,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1790(X0))) & (($true = bG1790(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20552])).
% 58.13/9.54 tff(f20552,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1790(X0)))),
% 58.13/9.54 inference(rectify,[],[f20312])).
% 58.13/9.54 tff(f20312,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1790(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1790])])).
% 58.13/9.54 tff(f87695,plain,(
% 58.13/9.54 spl5880_1700),
% 58.13/9.54 inference(avatar_split_clause,[],[f46196,f87693])).
% 58.13/9.54 tff(f87693,plain,(
% 58.13/9.54 spl5880_1700 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1791(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1700])])).
% 58.13/9.54 tff(f46196,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1791(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37975])).
% 58.13/9.54 tff(f37975,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1791(X0))) & (($true = bG1791(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20551])).
% 58.13/9.54 tff(f20551,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1791(X0)))),
% 58.13/9.54 inference(rectify,[],[f20313])).
% 58.13/9.54 tff(f20313,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1791(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1791])])).
% 58.13/9.54 tff(f87691,plain,(
% 58.13/9.54 spl5880_1699),
% 58.13/9.54 inference(avatar_split_clause,[],[f46194,f87689])).
% 58.13/9.54 tff(f87689,plain,(
% 58.13/9.54 spl5880_1699 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1792(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1699])])).
% 58.13/9.54 tff(f46194,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1792(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37974])).
% 58.13/9.54 tff(f37974,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1792(X0))) & (($true = bG1792(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20550])).
% 58.13/9.54 tff(f20550,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1792(X0)))),
% 58.13/9.54 inference(rectify,[],[f20314])).
% 58.13/9.54 tff(f20314,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1792(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1792])])).
% 58.13/9.54 tff(f87687,plain,(
% 58.13/9.54 spl5880_1698),
% 58.13/9.54 inference(avatar_split_clause,[],[f46192,f87685])).
% 58.13/9.54 tff(f87685,plain,(
% 58.13/9.54 spl5880_1698 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1793(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1698])])).
% 58.13/9.54 tff(f46192,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1793(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37973])).
% 58.13/9.54 tff(f37973,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1793(X0))) & (($true = bG1793(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20549])).
% 58.13/9.54 tff(f20549,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1793(X0)))),
% 58.13/9.54 inference(rectify,[],[f20315])).
% 58.13/9.54 tff(f20315,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1793(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1793])])).
% 58.13/9.54 tff(f87683,plain,(
% 58.13/9.54 spl5880_1697),
% 58.13/9.54 inference(avatar_split_clause,[],[f46190,f87681])).
% 58.13/9.54 tff(f87681,plain,(
% 58.13/9.54 spl5880_1697 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1794(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1697])])).
% 58.13/9.54 tff(f46190,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1794(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37972])).
% 58.13/9.54 tff(f37972,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1794(X0))) & (($true = bG1794(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20548])).
% 58.13/9.54 tff(f20548,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1794(X0)))),
% 58.13/9.54 inference(rectify,[],[f20316])).
% 58.13/9.54 tff(f20316,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1794(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1794])])).
% 58.13/9.54 tff(f87679,plain,(
% 58.13/9.54 spl5880_1696),
% 58.13/9.54 inference(avatar_split_clause,[],[f46188,f87677])).
% 58.13/9.54 tff(f87677,plain,(
% 58.13/9.54 spl5880_1696 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1795(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1696])])).
% 58.13/9.54 tff(f46188,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1795(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37971])).
% 58.13/9.54 tff(f37971,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1795(X0))) & (($true = bG1795(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20547])).
% 58.13/9.54 tff(f20547,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1795(X0)))),
% 58.13/9.54 inference(rectify,[],[f20317])).
% 58.13/9.54 tff(f20317,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1795(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1795])])).
% 58.13/9.54 tff(f87675,plain,(
% 58.13/9.54 spl5880_1695),
% 58.13/9.54 inference(avatar_split_clause,[],[f46186,f87673])).
% 58.13/9.54 tff(f87673,plain,(
% 58.13/9.54 spl5880_1695 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1796(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1695])])).
% 58.13/9.54 tff(f46186,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1796(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37970])).
% 58.13/9.54 tff(f37970,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1796(X0))) & (($true = bG1796(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20546])).
% 58.13/9.54 tff(f20546,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1796(X0)))),
% 58.13/9.54 inference(rectify,[],[f20318])).
% 58.13/9.54 tff(f20318,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1796(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1796])])).
% 58.13/9.54 tff(f87671,plain,(
% 58.13/9.54 spl5880_1694),
% 58.13/9.54 inference(avatar_split_clause,[],[f46184,f87669])).
% 58.13/9.54 tff(f87669,plain,(
% 58.13/9.54 spl5880_1694 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1797(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1694])])).
% 58.13/9.54 tff(f46184,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1797(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37969])).
% 58.13/9.54 tff(f37969,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1797(X0))) & (($true = bG1797(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20545])).
% 58.13/9.54 tff(f20545,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1797(X0)))),
% 58.13/9.54 inference(rectify,[],[f20319])).
% 58.13/9.54 tff(f20319,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1797(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1797])])).
% 58.13/9.54 tff(f87667,plain,(
% 58.13/9.54 spl5880_1693),
% 58.13/9.54 inference(avatar_split_clause,[],[f46182,f87665])).
% 58.13/9.54 tff(f87665,plain,(
% 58.13/9.54 spl5880_1693 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1798(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1693])])).
% 58.13/9.54 tff(f46182,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1798(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37968])).
% 58.13/9.54 tff(f37968,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1798(X0))) & (($true = bG1798(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20544])).
% 58.13/9.54 tff(f20544,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1798(X0)))),
% 58.13/9.54 inference(rectify,[],[f20320])).
% 58.13/9.54 tff(f20320,plain,(
% 58.13/9.54 ! [X2 : $o] : (($true = X2) <=> ($true = bG1798(X2)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1798])])).
% 58.13/9.54 tff(f87663,plain,(
% 58.13/9.54 spl5880_1692),
% 58.13/9.54 inference(avatar_split_clause,[],[f46180,f87661])).
% 58.13/9.54 tff(f87661,plain,(
% 58.13/9.54 spl5880_1692 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1799(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1692])])).
% 58.13/9.54 tff(f46180,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1799(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37967])).
% 58.13/9.54 tff(f37967,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1799(X0))) & (($true = bG1799(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20543])).
% 58.13/9.54 tff(f20543,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1799(X0)))),
% 58.13/9.54 inference(rectify,[],[f20321])).
% 58.13/9.54 tff(f20321,plain,(
% 58.13/9.54 ! [X1 : $o] : (($true = X1) <=> ($true = bG1799(X1)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1799])])).
% 58.13/9.54 tff(f87659,plain,(
% 58.13/9.54 spl5880_1691 | ~spl5880_209 | ~spl5880_799),
% 58.13/9.54 inference(avatar_split_clause,[],[f85187,f82364,f79488,f87656])).
% 58.13/9.54 tff(f87656,plain,(
% 58.13/9.54 spl5880_1691 <=> sP1929(real)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1691])])).
% 58.13/9.54 tff(f85187,plain,(
% 58.13/9.54 sP1929(real) | (~spl5880_209 | ~spl5880_799)),
% 58.13/9.54 inference(resolution,[],[f82365,f79490])).
% 58.13/9.54 tff(f87654,plain,(
% 58.13/9.54 spl5880_1690),
% 58.13/9.54 inference(avatar_split_clause,[],[f46178,f87652])).
% 58.13/9.54 tff(f87652,plain,(
% 58.13/9.54 spl5880_1690 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1800(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1690])])).
% 58.13/9.54 tff(f46178,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1800(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37966])).
% 58.13/9.54 tff(f37966,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1800(X0))) & (($true = bG1800(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20322])).
% 58.13/9.54 tff(f20322,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1800(X0)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1800])])).
% 58.13/9.54 tff(f87650,plain,(
% 58.13/9.54 spl5880_1689),
% 58.13/9.54 inference(avatar_split_clause,[],[f46176,f87648])).
% 58.13/9.54 tff(f87648,plain,(
% 58.13/9.54 spl5880_1689 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1801(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1689])])).
% 58.13/9.54 tff(f46176,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1801(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37965])).
% 58.13/9.54 tff(f37965,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1801(X0))) & (($true = bG1801(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20325])).
% 58.13/9.54 tff(f20325,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1801(X0)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1801])])).
% 58.13/9.54 tff(f87646,plain,(
% 58.13/9.54 spl5880_1688),
% 58.13/9.54 inference(avatar_split_clause,[],[f46174,f87644])).
% 58.13/9.54 tff(f87644,plain,(
% 58.13/9.54 spl5880_1688 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1802(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1688])])).
% 58.13/9.54 tff(f46174,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1802(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37964])).
% 58.13/9.54 tff(f37964,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1802(X0))) & (($true = bG1802(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20542])).
% 58.13/9.54 tff(f20542,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1802(X0)))),
% 58.13/9.54 inference(rectify,[],[f20326])).
% 58.13/9.54 tff(f20326,plain,(
% 58.13/9.54 ! [X1 : $o] : (($true = X1) <=> ($true = bG1802(X1)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1802])])).
% 58.13/9.54 tff(f87642,plain,(
% 58.13/9.54 spl5880_1687),
% 58.13/9.54 inference(avatar_split_clause,[],[f46172,f87640])).
% 58.13/9.54 tff(f87640,plain,(
% 58.13/9.54 spl5880_1687 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1803(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1687])])).
% 58.13/9.54 tff(f46172,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1803(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37963])).
% 58.13/9.54 tff(f37963,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1803(X0))) & (($true = bG1803(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20541])).
% 58.13/9.54 tff(f20541,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1803(X0)))),
% 58.13/9.54 inference(rectify,[],[f20327])).
% 58.13/9.54 tff(f20327,plain,(
% 58.13/9.54 ! [X2 : $o] : (($true = X2) <=> ($true = bG1803(X2)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1803])])).
% 58.13/9.54 tff(f87638,plain,(
% 58.13/9.54 spl5880_1686),
% 58.13/9.54 inference(avatar_split_clause,[],[f46170,f87636])).
% 58.13/9.54 tff(f87636,plain,(
% 58.13/9.54 spl5880_1686 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1804(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1686])])).
% 58.13/9.54 tff(f46170,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1804(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37962])).
% 58.13/9.54 tff(f37962,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1804(X0))) & (($true = bG1804(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20540])).
% 58.13/9.54 tff(f20540,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1804(X0)))),
% 58.13/9.54 inference(rectify,[],[f20328])).
% 58.13/9.54 tff(f20328,plain,(
% 58.13/9.54 ! [X3 : $o] : (($true = X3) <=> ($true = bG1804(X3)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1804])])).
% 58.13/9.54 tff(f87634,plain,(
% 58.13/9.54 spl5880_1685),
% 58.13/9.54 inference(avatar_split_clause,[],[f46168,f87632])).
% 58.13/9.54 tff(f87632,plain,(
% 58.13/9.54 spl5880_1685 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1805(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1685])])).
% 58.13/9.54 tff(f46168,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1805(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37961])).
% 58.13/9.54 tff(f37961,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1805(X0))) & (($true = bG1805(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20539])).
% 58.13/9.54 tff(f20539,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1805(X0)))),
% 58.13/9.54 inference(rectify,[],[f20329])).
% 58.13/9.54 tff(f20329,plain,(
% 58.13/9.54 ! [X4 : $o] : (($true = X4) <=> ($true = bG1805(X4)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1805])])).
% 58.13/9.54 tff(f87630,plain,(
% 58.13/9.54 spl5880_1684),
% 58.13/9.54 inference(avatar_split_clause,[],[f46166,f87628])).
% 58.13/9.54 tff(f87628,plain,(
% 58.13/9.54 spl5880_1684 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1806(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1684])])).
% 58.13/9.54 tff(f46166,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1806(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37960])).
% 58.13/9.54 tff(f37960,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1806(X0))) & (($true = bG1806(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20538])).
% 58.13/9.54 tff(f20538,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1806(X0)))),
% 58.13/9.54 inference(rectify,[],[f20330])).
% 58.13/9.54 tff(f20330,plain,(
% 58.13/9.54 ! [X5 : $o] : (($true = X5) <=> ($true = bG1806(X5)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1806])])).
% 58.13/9.54 tff(f87626,plain,(
% 58.13/9.54 spl5880_1683),
% 58.13/9.54 inference(avatar_split_clause,[],[f46164,f87624])).
% 58.13/9.54 tff(f87624,plain,(
% 58.13/9.54 spl5880_1683 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1807(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1683])])).
% 58.13/9.54 tff(f46164,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1807(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37959])).
% 58.13/9.54 tff(f37959,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1807(X0))) & (($true = bG1807(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20537])).
% 58.13/9.54 tff(f20537,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1807(X0)))),
% 58.13/9.54 inference(rectify,[],[f20331])).
% 58.13/9.54 tff(f20331,plain,(
% 58.13/9.54 ! [X6 : $o] : (($true = X6) <=> ($true = bG1807(X6)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1807])])).
% 58.13/9.54 tff(f87622,plain,(
% 58.13/9.54 spl5880_1682),
% 58.13/9.54 inference(avatar_split_clause,[],[f46162,f87620])).
% 58.13/9.54 tff(f87620,plain,(
% 58.13/9.54 spl5880_1682 <=> ! [X0 : $o] : (($true = X0) | ($true != bG1808(X0)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1682])])).
% 58.13/9.54 tff(f46162,plain,(
% 58.13/9.54 ( ! [X0 : $o] : (($true = X0) | ($true != bG1808(X0))) )),
% 58.13/9.54 inference(cnf_transformation,[],[f37958])).
% 58.13/9.54 tff(f37958,plain,(
% 58.13/9.54 ! [X0 : $o] : ((($true = X0) | ($true != bG1808(X0))) & (($true = bG1808(X0)) | ($true != X0)))),
% 58.13/9.54 inference(nnf_transformation,[],[f20536])).
% 58.13/9.54 tff(f20536,plain,(
% 58.13/9.54 ! [X0 : $o] : (($true = X0) <=> ($true = bG1808(X0)))),
% 58.13/9.54 inference(rectify,[],[f20332])).
% 58.13/9.54 tff(f20332,plain,(
% 58.13/9.54 ! [X7 : $o] : (($true = X7) <=> ($true = bG1808(X7)))),
% 58.13/9.54 introduced(fool_formula_definition,[new_symbols(definition,[bG1808])])).
% 58.13/9.54 tff(f87616,plain,(
% 58.13/9.54 spl5880_1681 | ~spl5880_207 | ~spl5880_799),
% 58.13/9.54 inference(avatar_split_clause,[],[f85186,f82364,f79478,f87613])).
% 58.13/9.54 tff(f87613,plain,(
% 58.13/9.54 spl5880_1681 <=> sP1929(code_integer)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1681])])).
% 58.13/9.54 tff(f85186,plain,(
% 58.13/9.54 sP1929(code_integer) | (~spl5880_207 | ~spl5880_799)),
% 58.13/9.54 inference(resolution,[],[f82365,f79480])).
% 58.13/9.54 tff(f87601,plain,(
% 58.13/9.54 spl5880_1680 | ~spl5880_208 | ~spl5880_798),
% 58.13/9.54 inference(avatar_split_clause,[],[f85185,f82360,f79483,f87598])).
% 58.13/9.54 tff(f87598,plain,(
% 58.13/9.54 spl5880_1680 <=> sP1927(int)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1680])])).
% 58.13/9.54 tff(f82360,plain,(
% 58.13/9.54 spl5880_798 <=> ! [X0 : $tType] : (sP1927(X0) | ~linordered_idom(X0))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_798])])).
% 58.13/9.54 tff(f85185,plain,(
% 58.13/9.54 sP1927(int) | (~spl5880_208 | ~spl5880_798)),
% 58.13/9.54 inference(resolution,[],[f82361,f79485])).
% 58.13/9.54 tff(f82361,plain,(
% 58.13/9.54 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1927(X0)) ) | ~spl5880_798),
% 58.13/9.54 inference(avatar_component_clause,[],[f82360])).
% 58.13/9.54 tff(f87594,plain,(
% 58.13/9.54 spl5880_1679 | ~spl5880_1536 | ~spl5880_1656),
% 58.13/9.54 inference(avatar_split_clause,[],[f86859,f86855,f86300,f87591])).
% 58.13/9.54 tff(f86855,plain,(
% 58.13/9.54 spl5880_1656 <=> lG696(one_one(code_integer)) = iG1228($true)),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1656])])).
% 58.13/9.54 tff(f86859,plain,(
% 58.13/9.54 lG696(one_one(code_integer)) = iG714($true) | (~spl5880_1536 | ~spl5880_1656)),
% 58.13/9.54 inference(forward_demodulation,[],[f86857,f86302])).
% 58.13/9.54 tff(f86857,plain,(
% 58.13/9.54 lG696(one_one(code_integer)) = iG1228($true) | ~spl5880_1656),
% 58.13/9.54 inference(avatar_component_clause,[],[f86855])).
% 58.13/9.54 tff(f87589,plain,(
% 58.13/9.54 spl5880_1678 | ~spl5880_1544 | ~spl5880_1653),
% 58.13/9.54 inference(avatar_split_clause,[],[f86843,f86839,f86336,f87586])).
% 58.13/9.54 tff(f87586,plain,(
% 58.13/9.54 spl5880_1678 <=> im(imaginary_unit) = iG302(iG717($true))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1678])])).
% 58.13/9.54 tff(f86839,plain,(
% 58.13/9.54 spl5880_1653 <=> im(imaginary_unit) = iG302(iG894($true))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1653])])).
% 58.13/9.54 tff(f86843,plain,(
% 58.13/9.54 im(imaginary_unit) = iG302(iG717($true)) | (~spl5880_1544 | ~spl5880_1653)),
% 58.13/9.54 inference(forward_demodulation,[],[f86841,f86338])).
% 58.13/9.54 tff(f86841,plain,(
% 58.13/9.54 im(imaginary_unit) = iG302(iG894($true)) | ~spl5880_1653),
% 58.13/9.54 inference(avatar_component_clause,[],[f86839])).
% 58.13/9.54 tff(f87584,plain,(
% 58.13/9.54 spl5880_1677 | ~spl5880_1544 | ~spl5880_1652),
% 58.13/9.54 inference(avatar_split_clause,[],[f86837,f86833,f86336,f87581])).
% 58.13/9.54 tff(f87581,plain,(
% 58.13/9.54 spl5880_1677 <=> ($true = bG461($true,iG717($true)))),
% 58.13/9.54 introduced(avatar_definition,[new_symbols(naming,[spl5880_1677])])).
% 58.13/9.54 tff(f86833,plain,(
% 58.13/9.55 spl5880_1652 <=> ($true = bG461($true,iG894($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1652])])).
% 58.13/9.55 tff(f86837,plain,(
% 58.13/9.55 ($true = bG461($true,iG717($true))) | (~spl5880_1544 | ~spl5880_1652)),
% 58.13/9.55 inference(forward_demodulation,[],[f86835,f86338])).
% 58.13/9.55 tff(f86835,plain,(
% 58.13/9.55 ($true = bG461($true,iG894($true))) | ~spl5880_1652),
% 58.13/9.55 inference(avatar_component_clause,[],[f86833])).
% 58.13/9.55 tff(f87579,plain,(
% 58.13/9.55 spl5880_1676 | ~spl5880_1544 | ~spl5880_1651),
% 58.13/9.55 inference(avatar_split_clause,[],[f86831,f86828,f86336,f87577])).
% 58.13/9.55 tff(f87577,plain,(
% 58.13/9.55 spl5880_1676 <=> ! [X3 : nat] : iG679(iG717($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1676])])).
% 58.13/9.55 tff(f86828,plain,(
% 58.13/9.55 spl5880_1651 <=> ! [X3 : nat] : iG679(iG894($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1651])])).
% 58.13/9.55 tff(f86831,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG679(iG717($true),X3) = X3) ) | (~spl5880_1544 | ~spl5880_1651)),
% 58.13/9.55 inference(forward_demodulation,[],[f86829,f86338])).
% 58.13/9.55 tff(f86829,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG679(iG894($true),X3) = X3) ) | ~spl5880_1651),
% 58.13/9.55 inference(avatar_component_clause,[],[f86828])).
% 58.13/9.55 tff(f87575,plain,(
% 58.13/9.55 spl5880_1675 | ~spl5880_1544 | ~spl5880_1650),
% 58.13/9.55 inference(avatar_split_clause,[],[f86826,f86823,f86336,f87573])).
% 58.13/9.55 tff(f87573,plain,(
% 58.13/9.55 spl5880_1675 <=> ! [X3 : nat] : iG682(iG717($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1675])])).
% 58.13/9.55 tff(f86823,plain,(
% 58.13/9.55 spl5880_1650 <=> ! [X3 : nat] : iG682(iG894($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1650])])).
% 58.13/9.55 tff(f86826,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG682(iG717($true),X3) = X3) ) | (~spl5880_1544 | ~spl5880_1650)),
% 58.13/9.55 inference(forward_demodulation,[],[f86824,f86338])).
% 58.13/9.55 tff(f86824,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG682(iG894($true),X3) = X3) ) | ~spl5880_1650),
% 58.13/9.55 inference(avatar_component_clause,[],[f86823])).
% 58.13/9.55 tff(f87571,plain,(
% 58.13/9.55 spl5880_1674 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1649),
% 58.13/9.55 inference(avatar_split_clause,[],[f86821,f86816,f86300,f85782,f87568])).
% 58.13/9.55 tff(f87568,plain,(
% 58.13/9.55 spl5880_1674 <=> iG714($true) = iG1011(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1674])])).
% 58.13/9.55 tff(f86816,plain,(
% 58.13/9.55 spl5880_1649 <=> iG1228($true) = iG1011(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1649])])).
% 58.13/9.55 tff(f86821,plain,(
% 58.13/9.55 iG714($true) = iG1011(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1649)),
% 58.13/9.55 inference(forward_demodulation,[],[f86820,f86302])).
% 58.13/9.55 tff(f86820,plain,(
% 58.13/9.55 iG1228($true) = iG1011(iG717($true)) | (~spl5880_1443 | ~spl5880_1649)),
% 58.13/9.55 inference(forward_demodulation,[],[f86818,f85784])).
% 58.13/9.55 tff(f86818,plain,(
% 58.13/9.55 iG1228($true) = iG1011(zero_zero(nat)) | ~spl5880_1649),
% 58.13/9.55 inference(avatar_component_clause,[],[f86816])).
% 58.13/9.55 tff(f87566,plain,(
% 58.13/9.55 spl5880_1673 | ~spl5880_206 | ~spl5880_798),
% 58.13/9.55 inference(avatar_split_clause,[],[f85184,f82360,f79473,f87563])).
% 58.13/9.55 tff(f87563,plain,(
% 58.13/9.55 spl5880_1673 <=> sP1927(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1673])])).
% 58.13/9.55 tff(f85184,plain,(
% 58.13/9.55 sP1927(rat) | (~spl5880_206 | ~spl5880_798)),
% 58.13/9.55 inference(resolution,[],[f82361,f79475])).
% 58.13/9.55 tff(f87561,plain,(
% 58.13/9.55 spl5880_1672 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1648),
% 58.13/9.55 inference(avatar_split_clause,[],[f86814,f86809,f86300,f85782,f87558])).
% 58.13/9.55 tff(f87558,plain,(
% 58.13/9.55 spl5880_1672 <=> iG714($true) = iG1020(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1672])])).
% 58.13/9.55 tff(f86809,plain,(
% 58.13/9.55 spl5880_1648 <=> iG1228($true) = iG1020(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1648])])).
% 58.13/9.55 tff(f86814,plain,(
% 58.13/9.55 iG714($true) = iG1020(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1648)),
% 58.13/9.55 inference(forward_demodulation,[],[f86813,f86302])).
% 58.13/9.55 tff(f86813,plain,(
% 58.13/9.55 iG1228($true) = iG1020(iG717($true)) | (~spl5880_1443 | ~spl5880_1648)),
% 58.13/9.55 inference(forward_demodulation,[],[f86811,f85784])).
% 58.13/9.55 tff(f86811,plain,(
% 58.13/9.55 iG1228($true) = iG1020(zero_zero(nat)) | ~spl5880_1648),
% 58.13/9.55 inference(avatar_component_clause,[],[f86809])).
% 58.13/9.55 tff(f87556,plain,(
% 58.13/9.55 spl5880_1671 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1647),
% 58.13/9.55 inference(avatar_split_clause,[],[f86807,f86802,f86300,f85782,f87553])).
% 58.13/9.55 tff(f87553,plain,(
% 58.13/9.55 spl5880_1671 <=> iG714($true) = iG1069(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1671])])).
% 58.13/9.55 tff(f86802,plain,(
% 58.13/9.55 spl5880_1647 <=> iG1228($true) = iG1069(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1647])])).
% 58.13/9.55 tff(f86807,plain,(
% 58.13/9.55 iG714($true) = iG1069(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1647)),
% 58.13/9.55 inference(forward_demodulation,[],[f86806,f86302])).
% 58.13/9.55 tff(f86806,plain,(
% 58.13/9.55 iG1228($true) = iG1069(iG717($true)) | (~spl5880_1443 | ~spl5880_1647)),
% 58.13/9.55 inference(forward_demodulation,[],[f86804,f85784])).
% 58.13/9.55 tff(f86804,plain,(
% 58.13/9.55 iG1228($true) = iG1069(zero_zero(nat)) | ~spl5880_1647),
% 58.13/9.55 inference(avatar_component_clause,[],[f86802])).
% 58.13/9.55 tff(f87551,plain,(
% 58.13/9.55 spl5880_1670 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1646),
% 58.13/9.55 inference(avatar_split_clause,[],[f86800,f86795,f86300,f85782,f87548])).
% 58.13/9.55 tff(f87548,plain,(
% 58.13/9.55 spl5880_1670 <=> iG714($true) = iG1078(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1670])])).
% 58.13/9.55 tff(f86795,plain,(
% 58.13/9.55 spl5880_1646 <=> iG1228($true) = iG1078(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1646])])).
% 58.13/9.55 tff(f86800,plain,(
% 58.13/9.55 iG714($true) = iG1078(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1646)),
% 58.13/9.55 inference(forward_demodulation,[],[f86799,f86302])).
% 58.13/9.55 tff(f86799,plain,(
% 58.13/9.55 iG1228($true) = iG1078(iG717($true)) | (~spl5880_1443 | ~spl5880_1646)),
% 58.13/9.55 inference(forward_demodulation,[],[f86797,f85784])).
% 58.13/9.55 tff(f86797,plain,(
% 58.13/9.55 iG1228($true) = iG1078(zero_zero(nat)) | ~spl5880_1646),
% 58.13/9.55 inference(avatar_component_clause,[],[f86795])).
% 58.13/9.55 tff(f87546,plain,(
% 58.13/9.55 spl5880_1669 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1645),
% 58.13/9.55 inference(avatar_split_clause,[],[f86793,f86788,f86300,f85782,f87543])).
% 58.13/9.55 tff(f87543,plain,(
% 58.13/9.55 spl5880_1669 <=> iG714($true) = iG1157(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1669])])).
% 58.13/9.55 tff(f86788,plain,(
% 58.13/9.55 spl5880_1645 <=> iG1228($true) = iG1157(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1645])])).
% 58.13/9.55 tff(f86793,plain,(
% 58.13/9.55 iG714($true) = iG1157(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1645)),
% 58.13/9.55 inference(forward_demodulation,[],[f86792,f86302])).
% 58.13/9.55 tff(f86792,plain,(
% 58.13/9.55 iG1228($true) = iG1157(iG717($true)) | (~spl5880_1443 | ~spl5880_1645)),
% 58.13/9.55 inference(forward_demodulation,[],[f86790,f85784])).
% 58.13/9.55 tff(f86790,plain,(
% 58.13/9.55 iG1228($true) = iG1157(zero_zero(nat)) | ~spl5880_1645),
% 58.13/9.55 inference(avatar_component_clause,[],[f86788])).
% 58.13/9.55 tff(f87541,plain,(
% 58.13/9.55 spl5880_1668 | ~spl5880_1443 | ~spl5880_1536 | ~spl5880_1643),
% 58.13/9.55 inference(avatar_split_clause,[],[f86781,f86776,f86300,f85782,f87538])).
% 58.13/9.55 tff(f87538,plain,(
% 58.13/9.55 spl5880_1668 <=> iG714($true) = iG1192(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1668])])).
% 58.13/9.55 tff(f86776,plain,(
% 58.13/9.55 spl5880_1643 <=> iG1228($true) = iG1192(zero_zero(nat))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1643])])).
% 58.13/9.55 tff(f86781,plain,(
% 58.13/9.55 iG714($true) = iG1192(iG717($true)) | (~spl5880_1443 | ~spl5880_1536 | ~spl5880_1643)),
% 58.13/9.55 inference(forward_demodulation,[],[f86780,f86302])).
% 58.13/9.55 tff(f86780,plain,(
% 58.13/9.55 iG1228($true) = iG1192(iG717($true)) | (~spl5880_1443 | ~spl5880_1643)),
% 58.13/9.55 inference(forward_demodulation,[],[f86778,f85784])).
% 58.13/9.55 tff(f86778,plain,(
% 58.13/9.55 iG1228($true) = iG1192(zero_zero(nat)) | ~spl5880_1643),
% 58.13/9.55 inference(avatar_component_clause,[],[f86776])).
% 58.13/9.55 tff(f87536,plain,(
% 58.13/9.55 spl5880_1667 | ~spl5880_209 | ~spl5880_798),
% 58.13/9.55 inference(avatar_split_clause,[],[f85183,f82360,f79488,f87533])).
% 58.13/9.55 tff(f87533,plain,(
% 58.13/9.55 spl5880_1667 <=> sP1927(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1667])])).
% 58.13/9.55 tff(f85183,plain,(
% 58.13/9.55 sP1927(real) | (~spl5880_209 | ~spl5880_798)),
% 58.13/9.55 inference(resolution,[],[f82361,f79490])).
% 58.13/9.55 tff(f87511,plain,(
% 58.13/9.55 spl5880_1666 | ~spl5880_207 | ~spl5880_798),
% 58.13/9.55 inference(avatar_split_clause,[],[f85182,f82360,f79478,f87508])).
% 58.13/9.55 tff(f87508,plain,(
% 58.13/9.55 spl5880_1666 <=> sP1927(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1666])])).
% 58.13/9.55 tff(f85182,plain,(
% 58.13/9.55 sP1927(code_integer) | (~spl5880_207 | ~spl5880_798)),
% 58.13/9.55 inference(resolution,[],[f82361,f79480])).
% 58.13/9.55 tff(f87506,plain,(
% 58.13/9.55 spl5880_1665 | ~spl5880_1443 | ~spl5880_1612),
% 58.13/9.55 inference(avatar_split_clause,[],[f86649,f86646,f85782,f87504])).
% 58.13/9.55 tff(f87504,plain,(
% 58.13/9.55 spl5880_1665 <=> ! [X3 : nat] : iG1451(iG717($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1665])])).
% 58.13/9.55 tff(f86646,plain,(
% 58.13/9.55 spl5880_1612 <=> ! [X3 : nat] : iG1451(zero_zero(nat),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1612])])).
% 58.13/9.55 tff(f86649,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1451(iG717($true),X3) = X3) ) | (~spl5880_1443 | ~spl5880_1612)),
% 58.13/9.55 inference(forward_demodulation,[],[f86647,f85784])).
% 58.13/9.55 tff(f86647,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1451(zero_zero(nat),X3) = X3) ) | ~spl5880_1612),
% 58.13/9.55 inference(avatar_component_clause,[],[f86646])).
% 58.13/9.55 tff(f87502,plain,(
% 58.13/9.55 spl5880_1664 | ~spl5880_1443 | ~spl5880_1610),
% 58.13/9.55 inference(avatar_split_clause,[],[f86639,f86636,f85782,f87500])).
% 58.13/9.55 tff(f87500,plain,(
% 58.13/9.55 spl5880_1664 <=> ! [X3 : nat] : iG1452(iG717($true),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1664])])).
% 58.13/9.55 tff(f86636,plain,(
% 58.13/9.55 spl5880_1610 <=> ! [X3 : nat] : iG1452(zero_zero(nat),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1610])])).
% 58.13/9.55 tff(f86639,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1452(iG717($true),X3) = X3) ) | (~spl5880_1443 | ~spl5880_1610)),
% 58.13/9.55 inference(forward_demodulation,[],[f86637,f85784])).
% 58.13/9.55 tff(f86637,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1452(zero_zero(nat),X3) = X3) ) | ~spl5880_1610),
% 58.13/9.55 inference(avatar_component_clause,[],[f86636])).
% 58.13/9.55 tff(f87486,plain,(
% 58.13/9.55 spl5880_1663 | ~spl5880_208 | ~spl5880_797),
% 58.13/9.55 inference(avatar_split_clause,[],[f85176,f82356,f79483,f87483])).
% 58.13/9.55 tff(f87483,plain,(
% 58.13/9.55 spl5880_1663 <=> sP1925(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1663])])).
% 58.13/9.55 tff(f82356,plain,(
% 58.13/9.55 spl5880_797 <=> ! [X0 : $tType] : (sP1925(X0) | ~linordered_idom(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_797])])).
% 58.13/9.55 tff(f85176,plain,(
% 58.13/9.55 sP1925(int) | (~spl5880_208 | ~spl5880_797)),
% 58.13/9.55 inference(resolution,[],[f82357,f79485])).
% 58.13/9.55 tff(f82357,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1925(X0)) ) | ~spl5880_797),
% 58.13/9.55 inference(avatar_component_clause,[],[f82356])).
% 58.13/9.55 tff(f87480,plain,(
% 58.13/9.55 spl5880_1662 | ~spl5880_206 | ~spl5880_797),
% 58.13/9.55 inference(avatar_split_clause,[],[f85175,f82356,f79473,f87477])).
% 58.13/9.55 tff(f87477,plain,(
% 58.13/9.55 spl5880_1662 <=> sP1925(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1662])])).
% 58.13/9.55 tff(f85175,plain,(
% 58.13/9.55 sP1925(rat) | (~spl5880_206 | ~spl5880_797)),
% 58.13/9.55 inference(resolution,[],[f82357,f79475])).
% 58.13/9.55 tff(f87470,plain,(
% 58.13/9.55 spl5880_1661 | ~spl5880_209 | ~spl5880_797),
% 58.13/9.55 inference(avatar_split_clause,[],[f85174,f82356,f79488,f87467])).
% 58.13/9.55 tff(f87467,plain,(
% 58.13/9.55 spl5880_1661 <=> sP1925(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1661])])).
% 58.13/9.55 tff(f85174,plain,(
% 58.13/9.55 sP1925(real) | (~spl5880_209 | ~spl5880_797)),
% 58.13/9.55 inference(resolution,[],[f82357,f79490])).
% 58.13/9.55 tff(f87465,plain,(
% 58.13/9.55 spl5880_1660 | ~spl5880_207 | ~spl5880_797),
% 58.13/9.55 inference(avatar_split_clause,[],[f85173,f82356,f79478,f87462])).
% 58.13/9.55 tff(f87462,plain,(
% 58.13/9.55 spl5880_1660 <=> sP1925(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1660])])).
% 58.13/9.55 tff(f85173,plain,(
% 58.13/9.55 sP1925(code_integer) | (~spl5880_207 | ~spl5880_797)),
% 58.13/9.55 inference(resolution,[],[f82357,f79480])).
% 58.13/9.55 tff(f87449,plain,(
% 58.13/9.55 spl5880_1659 | ~spl5880_208 | ~spl5880_796),
% 58.13/9.55 inference(avatar_split_clause,[],[f85172,f82352,f79483,f87446])).
% 58.13/9.55 tff(f87446,plain,(
% 58.13/9.55 spl5880_1659 <=> sP1923(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1659])])).
% 58.13/9.55 tff(f82352,plain,(
% 58.13/9.55 spl5880_796 <=> ! [X0 : $tType] : (sP1923(X0) | ~linordered_idom(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_796])])).
% 58.13/9.55 tff(f85172,plain,(
% 58.13/9.55 sP1923(int) | (~spl5880_208 | ~spl5880_796)),
% 58.13/9.55 inference(resolution,[],[f82353,f79485])).
% 58.13/9.55 tff(f82353,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linordered_idom(X0) | sP1923(X0)) ) | ~spl5880_796),
% 58.13/9.55 inference(avatar_component_clause,[],[f82352])).
% 58.13/9.55 tff(f86868,plain,(
% 58.13/9.55 spl5880_1658),
% 58.13/9.55 inference(avatar_split_clause,[],[f77297,f86866])).
% 58.13/9.55 tff(f77297,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X1 : X0] : (~member(X0,X1,bot_bot(set(X0)))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f68867,f67249])).
% 58.13/9.55 tff(f68867,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X3 : X0,X1 : X0] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,zero_zero(nat),X3)))) )),
% 58.13/9.55 inference(equality_resolution,[],[f63379])).
% 58.13/9.55 tff(f63379,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : X0] : (zero_zero(nat) != X2 | ~member(X0,X1,aa(list(X0),set(X0),set2(X0),replicate(X0,X2,X3)))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f45217])).
% 58.13/9.55 tff(f86864,plain,(
% 58.13/9.55 ~spl5880_1551 | ~spl5880_1657),
% 58.13/9.55 inference(avatar_split_clause,[],[f69864,f86861,f86382])).
% 58.13/9.55 tff(f69864,plain,(
% 58.13/9.55 ma != mi | mi != xa),
% 58.13/9.55 inference(inner_rewriting,[],[f50180])).
% 58.13/9.55 tff(f50180,plain,(
% 58.13/9.55 ma != xa | mi != xa),
% 58.13/9.55 inference(cnf_transformation,[],[f28144])).
% 58.13/9.55 tff(f28144,plain,(
% 58.13/9.55 ma != xa | mi != xa),
% 58.13/9.55 inference(ennf_transformation,[],[f195])).
% 58.13/9.55 tff(f195,axiom,(
% 58.13/9.55 ~(ma = xa & mi = xa)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_False)).
% 58.13/9.55 tff(f86858,plain,(
% 58.13/9.55 spl5880_1656),
% 58.13/9.55 inference(avatar_split_clause,[],[f69733,f86855])).
% 58.13/9.55 tff(f69733,plain,(
% 58.13/9.55 lG696(one_one(code_integer)) = iG1228($true)),
% 58.13/9.55 inference(forward_demodulation,[],[f65745,f67101])).
% 58.13/9.55 tff(f65745,plain,(
% 58.13/9.55 one_one(nat) = lG696(one_one(code_integer))),
% 58.13/9.55 inference(definition_unfolding,[],[f50018,f48362])).
% 58.13/9.55 tff(f50018,plain,(
% 58.13/9.55 one_one(nat) = code_nat_of_integer(one_one(code_integer))),
% 58.13/9.55 inference(cnf_transformation,[],[f5461])).
% 58.13/9.55 tff(f5461,axiom,(
% 58.13/9.55 one_one(nat) = code_nat_of_integer(one_one(code_integer))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5460_nat__of__integer__code__post_I2_J)).
% 58.13/9.55 tff(f86853,plain,(
% 58.13/9.55 spl5880_1655 | ~spl5880_206 | ~spl5880_796),
% 58.13/9.55 inference(avatar_split_clause,[],[f85171,f82352,f79473,f86850])).
% 58.13/9.55 tff(f86850,plain,(
% 58.13/9.55 spl5880_1655 <=> sP1923(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1655])])).
% 58.13/9.55 tff(f85171,plain,(
% 58.13/9.55 sP1923(rat) | (~spl5880_206 | ~spl5880_796)),
% 58.13/9.55 inference(resolution,[],[f82353,f79475])).
% 58.13/9.55 tff(f86848,plain,(
% 58.13/9.55 spl5880_1654),
% 58.13/9.55 inference(avatar_split_clause,[],[f69732,f86845])).
% 58.13/9.55 tff(f86845,plain,(
% 58.13/9.55 spl5880_1654 <=> real_V7770717601297561774m_norm(complex,imaginary_unit) = im(imaginary_unit)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1654])])).
% 58.13/9.55 tff(f69732,plain,(
% 58.13/9.55 real_V7770717601297561774m_norm(complex,imaginary_unit) = im(imaginary_unit)),
% 58.13/9.55 inference(forward_demodulation,[],[f50017,f50004])).
% 58.13/9.55 tff(f50017,plain,(
% 58.13/9.55 one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 58.13/9.55 inference(cnf_transformation,[],[f4121])).
% 58.13/9.55 tff(f4121,axiom,(
% 58.13/9.55 one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4120_norm__ii)).
% 58.13/9.55 tff(f86842,plain,(
% 58.13/9.55 spl5880_1653),
% 58.13/9.55 inference(avatar_split_clause,[],[f69730,f86839])).
% 58.13/9.55 tff(f69730,plain,(
% 58.13/9.55 im(imaginary_unit) = iG302(iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f69729,f50004])).
% 58.13/9.55 tff(f69729,plain,(
% 58.13/9.55 one_one(real) = iG302(iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f65743,f67338])).
% 58.13/9.55 tff(f65743,plain,(
% 58.13/9.55 one_one(real) = iG302(zero_zero(nat))),
% 58.13/9.55 inference(definition_unfolding,[],[f50015,f50609])).
% 58.13/9.55 tff(f50609,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (cos_coeff(X0) = iG302(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f9917])).
% 58.13/9.55 tff(f9917,plain,(
% 58.13/9.55 ! [X0 : nat] : cos_coeff(X0) = iG302(X0)),
% 58.13/9.55 inference(fool_elimination,[],[f9915,f9916])).
% 58.13/9.55 tff(f9916,plain,(
% 58.13/9.55 ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG302(X0)) & ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG302(X0))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG302])])).
% 58.13/9.55 tff(f9915,plain,(
% 58.13/9.55 ! [X0 : nat] : cos_coeff(X0) = $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0), divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)),zero_zero(real))),
% 58.13/9.55 inference(rectify,[],[f3733])).
% 58.13/9.55 tff(f3733,axiom,(
% 58.13/9.55 ! [X50 : nat] : cos_coeff(X50) = $ite(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X50), divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X50,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X50)),zero_zero(real))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3732_cos__coeff__def)).
% 58.13/9.55 tff(f50015,plain,(
% 58.13/9.55 one_one(real) = cos_coeff(zero_zero(nat))),
% 58.13/9.55 inference(cnf_transformation,[],[f3488])).
% 58.13/9.55 tff(f3488,axiom,(
% 58.13/9.55 one_one(real) = cos_coeff(zero_zero(nat))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3487_cos__coeff__0)).
% 58.13/9.55 tff(f86836,plain,(
% 58.13/9.55 spl5880_1652),
% 58.13/9.55 inference(avatar_split_clause,[],[f69649,f86833])).
% 58.13/9.55 tff(f69649,plain,(
% 58.13/9.55 ($true = bG461($true,iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f67627,f67338])).
% 58.13/9.55 tff(f67627,plain,(
% 58.13/9.55 ($true = bG461($true,zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f67626])).
% 58.13/9.55 tff(f67626,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (($true = bG461($true,X1)) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f48843])).
% 58.13/9.55 tff(f48843,plain,(
% 58.13/9.55 ( ! [X0 : $o,X1 : nat] : (($true = bG461(X0,X1)) | ($true != X0) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38632])).
% 58.13/9.55 tff(f86830,plain,(
% 58.13/9.55 spl5880_1651),
% 58.13/9.55 inference(avatar_split_clause,[],[f69566,f86828])).
% 58.13/9.55 tff(f69566,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG679(iG894($true),X3) = X3) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67487,f67338])).
% 58.13/9.55 tff(f67487,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG679(zero_zero(nat),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48397])).
% 58.13/9.55 tff(f48397,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat] : (iG679(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27866])).
% 58.13/9.55 tff(f27866,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG679(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG679(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22095])).
% 58.13/9.55 tff(f22095,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG679(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG679(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22094])).
% 58.13/9.55 tff(f22094,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG679(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG679(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14711])).
% 58.13/9.55 tff(f86825,plain,(
% 58.13/9.55 spl5880_1650),
% 58.13/9.55 inference(avatar_split_clause,[],[f69562,f86823])).
% 58.13/9.55 tff(f69562,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG682(iG894($true),X3) = X3) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67485,f67338])).
% 58.13/9.55 tff(f67485,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG682(zero_zero(nat),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48389])).
% 58.13/9.55 tff(f48389,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat] : (iG682(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27864])).
% 58.13/9.55 tff(f27864,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG682(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG682(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22090])).
% 58.13/9.55 tff(f22090,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG682(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG682(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22089])).
% 58.13/9.55 tff(f22089,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG682(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG682(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14718])).
% 58.13/9.55 tff(f86819,plain,(
% 58.13/9.55 spl5880_1649),
% 58.13/9.55 inference(avatar_split_clause,[],[f69456,f86816])).
% 58.13/9.55 tff(f69456,plain,(
% 58.13/9.55 iG1228($true) = iG1011(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67239,f67101])).
% 58.13/9.55 tff(f67239,plain,(
% 58.13/9.55 one_one(nat) = iG1011(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47691])).
% 58.13/9.55 tff(f47691,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1011(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27717])).
% 58.13/9.55 tff(f27717,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1011(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1011(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21614])).
% 58.13/9.55 tff(f21614,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1011(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1011(X1))),
% 58.13/9.55 inference(flattening,[],[f21613])).
% 58.13/9.55 tff(f21613,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1011(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1011(X1))),
% 58.13/9.55 inference(rectify,[],[f17175])).
% 58.13/9.55 tff(f17175,plain,(
% 58.13/9.55 ! [X2 : nat] : (~zero_zero(nat) = X2 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1011(X2)) & ! [X2 : nat] : (zero_zero(nat) = X2 => one_one(nat) = iG1011(X2))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1011])])).
% 58.13/9.55 tff(f86812,plain,(
% 58.13/9.55 spl5880_1648),
% 58.13/9.55 inference(avatar_split_clause,[],[f69454,f86809])).
% 58.13/9.55 tff(f69454,plain,(
% 58.13/9.55 iG1228($true) = iG1020(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67230,f67101])).
% 58.13/9.55 tff(f67230,plain,(
% 58.13/9.55 one_one(nat) = iG1020(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47673])).
% 58.13/9.55 tff(f47673,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1020(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27716])).
% 58.13/9.55 tff(f27716,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1020(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1020(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21608])).
% 58.13/9.55 tff(f21608,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1020(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1020(X1))),
% 58.13/9.55 inference(flattening,[],[f21607])).
% 58.13/9.55 tff(f21607,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1020(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1020(X1))),
% 58.13/9.55 inference(rectify,[],[f17192])).
% 58.13/9.55 tff(f86805,plain,(
% 58.13/9.55 spl5880_1647),
% 58.13/9.55 inference(avatar_split_clause,[],[f69448,f86802])).
% 58.13/9.55 tff(f69448,plain,(
% 58.13/9.55 iG1228($true) = iG1069(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67192,f67101])).
% 58.13/9.55 tff(f67192,plain,(
% 58.13/9.55 one_one(nat) = iG1069(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47575])).
% 58.13/9.55 tff(f47575,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1069(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27695])).
% 58.13/9.55 tff(f27695,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1069(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1069(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21552])).
% 58.13/9.55 tff(f21552,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1069(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1069(X1))),
% 58.13/9.55 inference(flattening,[],[f21551])).
% 58.13/9.55 tff(f21551,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1069(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1069(X1))),
% 58.13/9.55 inference(rectify,[],[f17391])).
% 58.13/9.55 tff(f17391,plain,(
% 58.13/9.55 ! [X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1069(X1)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1069(X1))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1069])])).
% 58.13/9.55 tff(f86798,plain,(
% 58.13/9.55 spl5880_1646),
% 58.13/9.55 inference(avatar_split_clause,[],[f69437,f86795])).
% 58.13/9.55 tff(f69437,plain,(
% 58.13/9.55 iG1228($true) = iG1078(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67187,f67101])).
% 58.13/9.55 tff(f67187,plain,(
% 58.13/9.55 one_one(nat) = iG1078(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47558])).
% 58.13/9.55 tff(f47558,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1078(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27689])).
% 58.13/9.55 tff(f27689,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1078(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1078(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21537])).
% 58.13/9.55 tff(f21537,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1078(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1078(X1))),
% 58.13/9.55 inference(flattening,[],[f21536])).
% 58.13/9.55 tff(f21536,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1078(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1078(X1))),
% 58.13/9.55 inference(rectify,[],[f17402])).
% 58.13/9.55 tff(f17402,plain,(
% 58.13/9.55 ! [X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1078(X1)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1078(X1))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1078])])).
% 58.13/9.55 tff(f86791,plain,(
% 58.13/9.55 spl5880_1645),
% 58.13/9.55 inference(avatar_split_clause,[],[f69382,f86788])).
% 58.13/9.55 tff(f69382,plain,(
% 58.13/9.55 iG1228($true) = iG1157(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67146,f67101])).
% 58.13/9.55 tff(f67146,plain,(
% 58.13/9.55 one_one(nat) = iG1157(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47411])).
% 58.13/9.55 tff(f47411,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1157(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27657])).
% 58.13/9.55 tff(f27657,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1157(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1157(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21438])).
% 58.13/9.55 tff(f21438,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1157(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1157(X1))),
% 58.13/9.55 inference(flattening,[],[f21437])).
% 58.13/9.55 tff(f21437,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1157(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1157(X1))),
% 58.13/9.55 inference(rectify,[],[f17495])).
% 58.13/9.55 tff(f17495,plain,(
% 58.13/9.55 ! [X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1157(X1)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1157(X1))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1157])])).
% 58.13/9.55 tff(f86786,plain,(
% 58.13/9.55 spl5880_1644 | ~spl5880_209 | ~spl5880_796),
% 58.13/9.55 inference(avatar_split_clause,[],[f85170,f82352,f79488,f86783])).
% 58.13/9.55 tff(f86783,plain,(
% 58.13/9.55 spl5880_1644 <=> sP1923(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1644])])).
% 58.13/9.55 tff(f85170,plain,(
% 58.13/9.55 sP1923(real) | (~spl5880_209 | ~spl5880_796)),
% 58.13/9.55 inference(resolution,[],[f82353,f79490])).
% 58.13/9.55 tff(f86779,plain,(
% 58.13/9.55 spl5880_1643),
% 58.13/9.55 inference(avatar_split_clause,[],[f69364,f86776])).
% 58.13/9.55 tff(f69364,plain,(
% 58.13/9.55 iG1228($true) = iG1192(zero_zero(nat))),
% 58.13/9.55 inference(forward_demodulation,[],[f67128,f67101])).
% 58.13/9.55 tff(f67128,plain,(
% 58.13/9.55 one_one(nat) = iG1192(zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f47346])).
% 58.13/9.55 tff(f47346,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (one_one(nat) = iG1192(X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27642])).
% 58.13/9.55 tff(f27642,plain,(
% 58.13/9.55 ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1192(X0) | zero_zero(nat) = X0) & ! [X1 : nat] : (one_one(nat) = iG1192(X1) | zero_zero(nat) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f21394])).
% 58.13/9.55 tff(f21394,plain,(
% 58.13/9.55 ! [X0 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1192(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1192(X1))),
% 58.13/9.55 inference(flattening,[],[f21393])).
% 58.13/9.55 tff(f21393,plain,(
% 58.13/9.55 ! [X0 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1192(X0)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1192(X1))),
% 58.13/9.55 inference(rectify,[],[f17536])).
% 58.13/9.55 tff(f17536,plain,(
% 58.13/9.55 ! [X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1192(X1)) & ! [X1 : nat] : (zero_zero(nat) = X1 => one_one(nat) = iG1192(X1))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1192])])).
% 58.13/9.55 tff(f86774,plain,(
% 58.13/9.55 spl5880_1642),
% 58.13/9.55 inference(avatar_split_clause,[],[f69070,f86772])).
% 58.13/9.55 tff(f86772,plain,(
% 58.13/9.55 spl5880_1642 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP2507(X0,X1,X3,X3,X4)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1642])])).
% 58.13/9.55 tff(f69070,plain,(
% 58.13/9.55 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP2507(X0,X1,X3,X3,X4)) )),
% 58.13/9.55 inference(equality_resolution,[],[f64663])).
% 58.13/9.55 tff(f64663,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP2507(X0,X1,X2,X3,X4)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f45998])).
% 58.13/9.55 tff(f45998,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP2506(X3,X2,X1,sK5798(X0,X1,X2,X3,X4),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK5798(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK5798(X0,X1,X2,X3,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5798(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) | ~sP2507(X0,X1,X2,X3,X4))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5798])],[f45996,f45997])).
% 58.13/9.55 tff(f45997,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP2506(X3,X2,X1,X5,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) => ((sP2506(X3,X2,X1,sK5798(X0,X1,X2,X3,X4),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK5798(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK5798(X0,X1,X2,X3,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5798(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)))))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f45996,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP2506(X3,X2,X1,X5,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP2507(X0,X1,X2,X3,X4))),
% 58.13/9.55 inference(rectify,[],[f45995])).
% 58.13/9.55 tff(f45995,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP2506(X6,X5,X1,X12,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ~sP2507(X0,X1,X5,X6,X3))),
% 58.13/9.55 inference(nnf_transformation,[],[f37939])).
% 58.13/9.55 tff(f37939,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP2506(X6,X5,X1,X12,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3)))) & X5 != X6) | ~sP2507(X0,X1,X5,X6,X3))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2507])])).
% 58.13/9.55 tff(f86770,plain,(
% 58.13/9.55 spl5880_1641),
% 58.13/9.55 inference(avatar_split_clause,[],[f69065,f86768])).
% 58.13/9.55 tff(f86768,plain,(
% 58.13/9.55 spl5880_1641 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP2503(X0,X1,X3,X3,X4)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1641])])).
% 58.13/9.55 tff(f69065,plain,(
% 58.13/9.55 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP2503(X0,X1,X3,X3,X4)) )),
% 58.13/9.55 inference(equality_resolution,[],[f64648])).
% 58.13/9.55 tff(f64648,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP2503(X0,X1,X2,X3,X4)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f45977])).
% 58.13/9.55 tff(f45977,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP2502(X3,X2,X1,sK5791(X0,X1,X2,X3,X4),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK5791(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK5791(X0,X1,X2,X3,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5791(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) | ~sP2503(X0,X1,X2,X3,X4))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5791])],[f45975,f45976])).
% 58.13/9.55 tff(f45976,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP2502(X3,X2,X1,X5,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) => ((sP2502(X3,X2,X1,sK5791(X0,X1,X2,X3,X4),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK5791(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK5791(X0,X1,X2,X3,X4))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK5791(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)))))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f45975,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP2502(X3,X2,X1,X5,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP2503(X0,X1,X2,X3,X4))),
% 58.13/9.55 inference(rectify,[],[f45974])).
% 58.13/9.55 tff(f45974,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP2502(X6,X5,X1,X12,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ~sP2503(X0,X1,X5,X6,X3))),
% 58.13/9.55 inference(nnf_transformation,[],[f37934])).
% 58.13/9.55 tff(f37934,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP2502(X6,X5,X1,X12,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ~sP2503(X0,X1,X5,X6,X3))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2503])])).
% 58.13/9.55 tff(f86766,plain,(
% 58.13/9.55 spl5880_1640),
% 58.13/9.55 inference(avatar_split_clause,[],[f68688,f86764])).
% 58.13/9.55 tff(f86764,plain,(
% 58.13/9.55 spl5880_1640 <=> ! [X0 : $tType,X1 : list(X0)] : sP2387(X0,X1,remdups_adj(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1640])])).
% 58.13/9.55 tff(f68688,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X1 : list(X0)] : (sP2387(X0,X1,remdups_adj(X0,X1))) )),
% 58.13/9.55 inference(equality_resolution,[],[f62106])).
% 58.13/9.55 tff(f62106,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2387(X0,X1,X2) | remdups_adj(X0,X1) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f44414])).
% 58.13/9.55 tff(f86762,plain,(
% 58.13/9.55 spl5880_1639),
% 58.13/9.55 inference(avatar_split_clause,[],[f68098,f86760])).
% 58.13/9.55 tff(f86760,plain,(
% 58.13/9.55 spl5880_1639 <=> ! [X2 : $tType,X4 : X2,X3 : X2] : sP1988(X2,X3,X4,X3,X4)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1639])])).
% 58.13/9.55 tff(f68098,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : X2,X4 : X2] : (sP1988(X2,X3,X4,X3,X4)) )),
% 58.13/9.55 inference(equality_resolution,[],[f68097])).
% 58.13/9.55 tff(f68097,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : X2,X1 : X2,X4 : X2] : (sP1988(X2,X3,X1,X3,X4) | X1 != X4) )),
% 58.13/9.55 inference(equality_resolution,[],[f55638])).
% 58.13/9.55 tff(f55638,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP1988(X2,X0,X1,X3,X4) | X0 != X3 | X1 != X4) )),
% 58.13/9.55 inference(cnf_transformation,[],[f40407])).
% 58.13/9.55 tff(f40407,plain,(
% 58.13/9.55 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP1988(X2,X0,X1,X3,X4) | ((($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),X0)) | ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X3))) & (X0 != X3 | X1 != X4))) & ((($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),X0)) & ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X4),X3))) | (X0 = X3 & X1 = X4) | ~sP1988(X2,X0,X1,X3,X4)))),
% 58.13/9.55 inference(rectify,[],[f40406])).
% 58.13/9.55 tff(f40406,plain,(
% 58.13/9.55 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP1988(X0,X4,X3,X2,X1) | ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) & (X2 != X4 | X1 != X3))) & ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3) | ~sP1988(X0,X4,X3,X2,X1)))),
% 58.13/9.55 inference(flattening,[],[f40405])).
% 58.13/9.55 tff(f40405,plain,(
% 58.13/9.55 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP1988(X0,X4,X3,X2,X1) | ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) & (X2 != X4 | X1 != X3))) & (((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3)) | ~sP1988(X0,X4,X3,X2,X1)))),
% 58.13/9.55 inference(nnf_transformation,[],[f37181])).
% 58.13/9.55 tff(f37181,plain,(
% 58.13/9.55 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP1988(X0,X4,X3,X2,X1) <=> ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3)))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1988])])).
% 58.13/9.55 tff(f86758,plain,(
% 58.13/9.55 spl5880_1638),
% 58.13/9.55 inference(avatar_split_clause,[],[f68062,f86756])).
% 58.13/9.55 tff(f86756,plain,(
% 58.13/9.55 spl5880_1638 <=> ! [X2 : $tType,X4 : X2,X1 : X2] : sP1975(X2,X1,X1,X4,X4)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1638])])).
% 58.13/9.55 tff(f68062,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X1 : X2,X4 : X2] : (sP1975(X2,X1,X1,X4,X4)) )),
% 58.13/9.55 inference(equality_resolution,[],[f68061])).
% 58.13/9.55 tff(f68061,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : X2,X1 : X2,X4 : X2] : (sP1975(X2,X1,X1,X3,X4) | X3 != X4) )),
% 58.13/9.55 inference(equality_resolution,[],[f55216])).
% 58.13/9.55 tff(f55216,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP1975(X2,X0,X1,X3,X4) | X0 != X1 | X3 != X4) )),
% 58.13/9.55 inference(cnf_transformation,[],[f40194])).
% 58.13/9.55 tff(f40194,plain,(
% 58.13/9.55 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP1975(X2,X0,X1,X3,X4) | ((X0 != X1 | X3 != X4) & (($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X0),X3)) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),X4))))) & ((X0 = X1 & X3 = X4) | (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X0),X3)) & ($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),X4))) | ~sP1975(X2,X0,X1,X3,X4)))),
% 58.13/9.55 inference(rectify,[],[f40193])).
% 58.13/9.55 tff(f40193,plain,(
% 58.13/9.55 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP1975(X0,X4,X2,X3,X1) | ((X2 != X4 | X1 != X3) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))) & ((X2 = X4 & X1 = X3) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) | ~sP1975(X0,X4,X2,X3,X1)))),
% 58.13/9.55 inference(flattening,[],[f40192])).
% 58.13/9.55 tff(f40192,plain,(
% 58.13/9.55 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP1975(X0,X4,X2,X3,X1) | ((X2 != X4 | X1 != X3) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))) & (((X2 = X4 & X1 = X3) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))) | ~sP1975(X0,X4,X2,X3,X1)))),
% 58.13/9.55 inference(nnf_transformation,[],[f37162])).
% 58.13/9.55 tff(f37162,plain,(
% 58.13/9.55 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (sP1975(X0,X4,X2,X3,X1) <=> ((X2 = X4 & X1 = X3) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1975])])).
% 58.13/9.55 tff(f86754,plain,(
% 58.13/9.55 spl5880_1637),
% 58.13/9.55 inference(avatar_split_clause,[],[f67768,f86752])).
% 58.13/9.55 tff(f86752,plain,(
% 58.13/9.55 spl5880_1637 <=> ! [X0 : $tType,X2 : X0] : (sP1889(X0,X2,X2) | ~sP1890(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1637])])).
% 58.13/9.55 tff(f67768,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X2 : X0] : (sP1889(X0,X2,X2) | ~sP1890(X0)) )),
% 58.13/9.55 inference(equality_resolution,[],[f52150])).
% 58.13/9.55 tff(f52150,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1889(X0,X1,X2) | X1 != X2 | ~sP1890(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f39226])).
% 58.13/9.55 tff(f86750,plain,(
% 58.13/9.55 spl5880_1636),
% 58.13/9.55 inference(avatar_split_clause,[],[f67758,f86748])).
% 58.13/9.55 tff(f86748,plain,(
% 58.13/9.55 spl5880_1636 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : ~sP1882(X1,zero_zero(X1),X2,X3)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1636])])).
% 58.13/9.55 tff(f67758,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : X1,X3 : X1] : (~sP1882(X1,zero_zero(X1),X2,X3)) )),
% 58.13/9.55 inference(equality_resolution,[],[f51647])).
% 58.13/9.55 tff(f51647,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) != X0 | ~sP1882(X1,X0,X2,X3)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f39028])).
% 58.13/9.55 tff(f39028,plain,(
% 58.13/9.55 ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP1882(X1,X0,X2,X3) | zero_zero(X1) = X0 | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),X2)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) | (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),X3)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)))) & ((zero_zero(X1) != X0 & (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X3),X2)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) & (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),X3)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)))) | ~sP1882(X1,X0,X2,X3)))),
% 58.13/9.55 inference(rectify,[],[f39027])).
% 58.13/9.55 tff(f39027,plain,(
% 58.13/9.55 ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : ((sP1882(X0,X2,X1,X3) | zero_zero(X0) = X2 | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))) & ((zero_zero(X0) != X2 & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))) | ~sP1882(X0,X2,X1,X3)))),
% 58.13/9.55 inference(flattening,[],[f39026])).
% 58.13/9.55 tff(f39026,plain,(
% 58.13/9.55 ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : ((sP1882(X0,X2,X1,X3) | (zero_zero(X0) = X2 | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) != X2 & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))) | ~sP1882(X0,X2,X1,X3)))),
% 58.13/9.55 inference(nnf_transformation,[],[f37015])).
% 58.13/9.55 tff(f37015,plain,(
% 58.13/9.55 ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : (sP1882(X0,X2,X1,X3) <=> (zero_zero(X0) != X2 & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1882])])).
% 58.13/9.55 tff(f86746,plain,(
% 58.13/9.55 spl5880_1635),
% 58.13/9.55 inference(avatar_split_clause,[],[f67706,f86743])).
% 58.13/9.55 tff(f86743,plain,(
% 58.13/9.55 spl5880_1635 <=> zero_zero(real) = iG303(zero_zero(complex))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1635])])).
% 58.13/9.55 tff(f67706,plain,(
% 58.13/9.55 zero_zero(real) = iG303(zero_zero(complex))),
% 58.13/9.55 inference(equality_resolution,[],[f49181])).
% 58.13/9.55 tff(f49181,plain,(
% 58.13/9.55 ( ! [X1 : complex] : (zero_zero(real) = iG303(X1) | zero_zero(complex) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f28107])).
% 58.13/9.55 tff(f86741,plain,(
% 58.13/9.55 spl5880_1634),
% 58.13/9.55 inference(avatar_split_clause,[],[f67705,f86738])).
% 58.13/9.55 tff(f86738,plain,(
% 58.13/9.55 spl5880_1634 <=> zero_zero(code_integer) = iG306(zero_zero(int))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1634])])).
% 58.13/9.55 tff(f67705,plain,(
% 58.13/9.55 zero_zero(code_integer) = iG306(zero_zero(int))),
% 58.13/9.55 inference(equality_resolution,[],[f49176])).
% 58.13/9.55 tff(f49176,plain,(
% 58.13/9.55 ( ! [X1 : int] : (zero_zero(code_integer) = iG306(X1) | zero_zero(int) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f28105])).
% 58.13/9.55 tff(f86736,plain,(
% 58.13/9.55 spl5880_1633 | ~spl5880_207 | ~spl5880_796),
% 58.13/9.55 inference(avatar_split_clause,[],[f85169,f82352,f79478,f86733])).
% 58.13/9.55 tff(f86733,plain,(
% 58.13/9.55 spl5880_1633 <=> sP1923(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1633])])).
% 58.13/9.55 tff(f85169,plain,(
% 58.13/9.55 sP1923(code_integer) | (~spl5880_207 | ~spl5880_796)),
% 58.13/9.55 inference(resolution,[],[f82353,f79480])).
% 58.13/9.55 tff(f86731,plain,(
% 58.13/9.55 spl5880_1632),
% 58.13/9.55 inference(avatar_split_clause,[],[f67704,f86728])).
% 58.13/9.55 tff(f86728,plain,(
% 58.13/9.55 spl5880_1632 <=> zero_zero(int) = iG309(zero_zero(code_integer))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1632])])).
% 58.13/9.55 tff(f67704,plain,(
% 58.13/9.55 zero_zero(int) = iG309(zero_zero(code_integer))),
% 58.13/9.55 inference(equality_resolution,[],[f49170])).
% 58.13/9.55 tff(f49170,plain,(
% 58.13/9.55 ( ! [X1 : code_integer] : (zero_zero(int) = iG309(X1) | zero_zero(code_integer) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f28102])).
% 58.13/9.55 tff(f28102,plain,(
% 58.13/9.55 ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG309(X0) | zero_zero(code_integer) = X0) & ! [X1 : code_integer] : (zero_zero(int) = iG309(X1) | zero_zero(code_integer) != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f22660])).
% 58.13/9.55 tff(f22660,plain,(
% 58.13/9.55 ! [X0 : code_integer] : (zero_zero(code_integer) != X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG309(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(int) = iG309(X1))),
% 58.13/9.55 inference(flattening,[],[f22659])).
% 58.13/9.55 tff(f22659,plain,(
% 58.13/9.55 ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_lq(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG309(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(int) = iG309(X1))),
% 58.13/9.55 inference(rectify,[],[f9931])).
% 58.13/9.55 tff(f86726,plain,(
% 58.13/9.55 spl5880_1631),
% 58.13/9.55 inference(avatar_split_clause,[],[f67622,f86724])).
% 58.13/9.55 tff(f86724,plain,(
% 58.13/9.55 spl5880_1631 <=> ! [X1 : $tType] : ($true != bG473(X1,zero_zero(X1)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1631])])).
% 58.13/9.55 tff(f67622,plain,(
% 58.13/9.55 ( ! [X1 : $tType] : (($true != bG473(X1,zero_zero(X1)))) )),
% 58.13/9.55 inference(equality_resolution,[],[f48820])).
% 58.13/9.55 tff(f48820,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (zero_zero(X1) != X0 | ($true != bG473(X1,X0))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38629])).
% 58.13/9.55 tff(f86722,plain,(
% 58.13/9.55 spl5880_1630),
% 58.13/9.55 inference(avatar_split_clause,[],[f67619,f86720])).
% 58.13/9.55 tff(f86720,plain,(
% 58.13/9.55 spl5880_1630 <=> ! [X1 : $tType] : ($true != bG476(X1,zero_zero(X1)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1630])])).
% 58.13/9.55 tff(f67619,plain,(
% 58.13/9.55 ( ! [X1 : $tType] : (($true != bG476(X1,zero_zero(X1)))) )),
% 58.13/9.55 inference(equality_resolution,[],[f48814])).
% 58.13/9.55 tff(f48814,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (zero_zero(X1) != X0 | ($true != bG476(X1,X0))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38626])).
% 58.13/9.55 tff(f86718,plain,(
% 58.13/9.55 spl5880_1629),
% 58.13/9.55 inference(avatar_split_clause,[],[f67618,f86716])).
% 58.13/9.55 tff(f86716,plain,(
% 58.13/9.55 spl5880_1629 <=> ! [X1 : $tType] : ($true != bG477(X1,zero_zero(X1)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1629])])).
% 58.13/9.55 tff(f67618,plain,(
% 58.13/9.55 ( ! [X1 : $tType] : (($true != bG477(X1,zero_zero(X1)))) )),
% 58.13/9.55 inference(equality_resolution,[],[f48812])).
% 58.13/9.55 tff(f48812,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (zero_zero(X1) != X0 | ($true != bG477(X1,X0))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38625])).
% 58.13/9.55 tff(f86714,plain,(
% 58.13/9.55 spl5880_1628),
% 58.13/9.55 inference(avatar_split_clause,[],[f67599,f86712])).
% 58.13/9.55 tff(f86712,plain,(
% 58.13/9.55 spl5880_1628 <=> ! [X2 : $tType] : one_one(X2) = iG503(X2,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1628])])).
% 58.13/9.55 tff(f67599,plain,(
% 58.13/9.55 ( ! [X2 : $tType] : (one_one(X2) = iG503(X2,$true)) )),
% 58.13/9.55 inference(equality_resolution,[],[f48759])).
% 58.13/9.55 tff(f48759,plain,(
% 58.13/9.55 ( ! [X2 : $tType,X3 : $o] : (one_one(X2) = iG503(X2,X3) | ($true != X3)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27970])).
% 58.13/9.55 tff(f86710,plain,(
% 58.13/9.55 spl5880_1627),
% 58.13/9.55 inference(avatar_split_clause,[],[f67507,f86708])).
% 58.13/9.55 tff(f86708,plain,(
% 58.13/9.55 spl5880_1627 <=> ! [X3 : code_integer] : iG639(zero_zero(code_integer),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1627])])).
% 58.13/9.55 tff(f67507,plain,(
% 58.13/9.55 ( ! [X3 : code_integer] : (iG639(zero_zero(code_integer),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48487])).
% 58.13/9.55 tff(f48487,plain,(
% 58.13/9.55 ( ! [X2 : code_integer,X3 : code_integer] : (iG639(X2,X3) = X3 | zero_zero(code_integer) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27902])).
% 58.13/9.55 tff(f27902,plain,(
% 58.13/9.55 ! [X0 : code_integer,X1 : code_integer] : (gcd_gcd(code_integer,X0,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X1),aa(code_integer,code_integer,abs_abs(code_integer),X0))) = iG639(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (iG639(X2,X3) = X3 | zero_zero(code_integer) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22161])).
% 58.13/9.55 tff(f22161,plain,(
% 58.13/9.55 ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => gcd_gcd(code_integer,X0,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X1),aa(code_integer,code_integer,abs_abs(code_integer),X0))) = iG639(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => iG639(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22160])).
% 58.13/9.55 tff(f22160,plain,(
% 58.13/9.55 ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => gcd_gcd(code_integer,X0,modulo_modulo(code_integer,aa(code_integer,code_integer,abs_abs(code_integer),X1),aa(code_integer,code_integer,abs_abs(code_integer),X0))) = iG639(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => iG639(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14617])).
% 58.13/9.55 tff(f86706,plain,(
% 58.13/9.55 spl5880_1626),
% 58.13/9.55 inference(avatar_split_clause,[],[f67506,f86704])).
% 58.13/9.55 tff(f86704,plain,(
% 58.13/9.55 spl5880_1626 <=> ! [X3 : int] : iG640(zero_zero(int),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1626])])).
% 58.13/9.55 tff(f67506,plain,(
% 58.13/9.55 ( ! [X3 : int] : (iG640(zero_zero(int),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48485])).
% 58.13/9.55 tff(f48485,plain,(
% 58.13/9.55 ( ! [X2 : int,X3 : int] : (iG640(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27901])).
% 58.13/9.55 tff(f27901,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (gcd_gcd(int,X0,modulo_modulo(int,aa(int,int,abs_abs(int),X1),aa(int,int,abs_abs(int),X0))) = iG640(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG640(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22159])).
% 58.13/9.55 tff(f22159,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => gcd_gcd(int,X0,modulo_modulo(int,aa(int,int,abs_abs(int),X1),aa(int,int,abs_abs(int),X0))) = iG640(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG640(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22158])).
% 58.13/9.55 tff(f22158,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => gcd_gcd(int,X0,modulo_modulo(int,aa(int,int,abs_abs(int),X1),aa(int,int,abs_abs(int),X0))) = iG640(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG640(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14620])).
% 58.13/9.55 tff(f86702,plain,(
% 58.13/9.55 spl5880_1625),
% 58.13/9.55 inference(avatar_split_clause,[],[f67499,f86700])).
% 58.13/9.55 tff(f86700,plain,(
% 58.13/9.55 spl5880_1625 <=> ! [X3 : int] : iG661(zero_zero(int),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1625])])).
% 58.13/9.55 tff(f67499,plain,(
% 58.13/9.55 ( ! [X3 : int] : (iG661(zero_zero(int),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48442])).
% 58.13/9.55 tff(f48442,plain,(
% 58.13/9.55 ( ! [X2 : int,X3 : int] : (iG661(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27881])).
% 58.13/9.55 tff(f27881,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG661(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG661(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22122])).
% 58.13/9.55 tff(f22122,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG661(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG661(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22121])).
% 58.13/9.55 tff(f22121,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG661(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG661(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14675])).
% 58.13/9.55 tff(f14675,plain,(
% 58.13/9.55 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG661(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG661(X1,X0) = X0)),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG661])])).
% 58.13/9.55 tff(f86698,plain,(
% 58.13/9.55 spl5880_1624),
% 58.13/9.55 inference(avatar_split_clause,[],[f67498,f86696])).
% 58.13/9.55 tff(f86696,plain,(
% 58.13/9.55 spl5880_1624 <=> ! [X3 : int] : iG662(zero_zero(int),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1624])])).
% 58.13/9.55 tff(f67498,plain,(
% 58.13/9.55 ( ! [X3 : int] : (iG662(zero_zero(int),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48440])).
% 58.13/9.55 tff(f48440,plain,(
% 58.13/9.55 ( ! [X2 : int,X3 : int] : (iG662(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27880])).
% 58.13/9.55 tff(f86694,plain,(
% 58.13/9.55 spl5880_1623),
% 58.13/9.55 inference(avatar_split_clause,[],[f67495,f86692])).
% 58.13/9.55 tff(f86692,plain,(
% 58.13/9.55 spl5880_1623 <=> ! [X3 : int] : iG666(zero_zero(int),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1623])])).
% 58.13/9.55 tff(f67495,plain,(
% 58.13/9.55 ( ! [X3 : int] : (iG666(zero_zero(int),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48430])).
% 58.13/9.55 tff(f48430,plain,(
% 58.13/9.55 ( ! [X2 : int,X3 : int] : (iG666(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27877])).
% 58.13/9.55 tff(f27877,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG666(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG666(X2,X3) = X3 | zero_zero(int) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f22113])).
% 58.13/9.55 tff(f22113,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG666(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG666(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f22112])).
% 58.13/9.55 tff(f22112,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG666(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG666(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f14684])).
% 58.13/9.55 tff(f14684,plain,(
% 58.13/9.55 ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG666(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG666(X1,X0) = X0)),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG666])])).
% 58.13/9.55 tff(f86690,plain,(
% 58.13/9.55 spl5880_1622 | ~spl5880_186 | ~spl5880_795),
% 58.13/9.55 inference(avatar_split_clause,[],[f85168,f82348,f79373,f86687])).
% 58.13/9.55 tff(f86687,plain,(
% 58.13/9.55 spl5880_1622 <=> sP1914(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1622])])).
% 58.13/9.55 tff(f79373,plain,(
% 58.13/9.55 spl5880_186 <=> linord4710134922213307826strict(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_186])])).
% 58.13/9.55 tff(f82348,plain,(
% 58.13/9.55 spl5880_795 <=> ! [X0 : $tType] : (sP1914(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_795])])).
% 58.13/9.55 tff(f85168,plain,(
% 58.13/9.55 sP1914(int) | (~spl5880_186 | ~spl5880_795)),
% 58.13/9.55 inference(resolution,[],[f82349,f79375])).
% 58.13/9.55 tff(f79375,plain,(
% 58.13/9.55 linord4710134922213307826strict(int) | ~spl5880_186),
% 58.13/9.55 inference(avatar_component_clause,[],[f79373])).
% 58.13/9.55 tff(f82349,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1914(X0)) ) | ~spl5880_795),
% 58.13/9.55 inference(avatar_component_clause,[],[f82348])).
% 58.13/9.55 tff(f86685,plain,(
% 58.13/9.55 spl5880_1621),
% 58.13/9.55 inference(avatar_split_clause,[],[f67494,f86683])).
% 58.13/9.55 tff(f86683,plain,(
% 58.13/9.55 spl5880_1621 <=> ! [X3 : int] : iG667(zero_zero(int),X3) = X3),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1621])])).
% 58.13/9.55 tff(f67494,plain,(
% 58.13/9.55 ( ! [X3 : int] : (iG667(zero_zero(int),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48428])).
% 58.13/9.55 tff(f48428,plain,(
% 58.13/9.55 ( ! [X2 : int,X3 : int] : (iG667(X2,X3) = X3 | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27876])).
% 58.13/9.55 tff(f86681,plain,(
% 58.13/9.55 spl5880_1620),
% 58.13/9.55 inference(avatar_split_clause,[],[f67294,f86679])).
% 58.13/9.55 tff(f86679,plain,(
% 58.13/9.55 spl5880_1620 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG939(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1620])])).
% 58.13/9.55 tff(f67294,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG939(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47865])).
% 58.13/9.55 tff(f47865,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG939(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38346])).
% 58.13/9.55 tff(f86677,plain,(
% 58.13/9.55 spl5880_1619),
% 58.13/9.55 inference(avatar_split_clause,[],[f67293,f86675])).
% 58.13/9.55 tff(f86675,plain,(
% 58.13/9.55 spl5880_1619 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG940(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1619])])).
% 58.13/9.55 tff(f67293,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG940(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47862])).
% 58.13/9.55 tff(f47862,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG940(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38345])).
% 58.13/9.55 tff(f86673,plain,(
% 58.13/9.55 spl5880_1618),
% 58.13/9.55 inference(avatar_split_clause,[],[f67282,f86671])).
% 58.13/9.55 tff(f86671,plain,(
% 58.13/9.55 spl5880_1618 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG951(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1618])])).
% 58.13/9.55 tff(f67282,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG951(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47834])).
% 58.13/9.55 tff(f47834,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG951(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38335])).
% 58.13/9.55 tff(f86669,plain,(
% 58.13/9.55 spl5880_1617),
% 58.13/9.55 inference(avatar_split_clause,[],[f67281,f86667])).
% 58.13/9.55 tff(f86667,plain,(
% 58.13/9.55 spl5880_1617 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG952(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1617])])).
% 58.13/9.55 tff(f67281,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG952(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47831])).
% 58.13/9.55 tff(f47831,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG952(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38334])).
% 58.13/9.55 tff(f86665,plain,(
% 58.13/9.55 spl5880_1616),
% 58.13/9.55 inference(avatar_split_clause,[],[f67272,f86663])).
% 58.13/9.55 tff(f86663,plain,(
% 58.13/9.55 spl5880_1616 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG961(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1616])])).
% 58.13/9.55 tff(f67272,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG961(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47807])).
% 58.13/9.55 tff(f47807,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG961(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38326])).
% 58.13/9.55 tff(f86661,plain,(
% 58.13/9.55 spl5880_1615),
% 58.13/9.55 inference(avatar_split_clause,[],[f67271,f86659])).
% 58.13/9.55 tff(f86659,plain,(
% 58.13/9.55 spl5880_1615 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG962(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1615])])).
% 58.13/9.55 tff(f67271,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG962(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47804])).
% 58.13/9.55 tff(f47804,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG962(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38325])).
% 58.13/9.55 tff(f86657,plain,(
% 58.13/9.55 spl5880_1614),
% 58.13/9.55 inference(avatar_split_clause,[],[f67260,f86655])).
% 58.13/9.55 tff(f86655,plain,(
% 58.13/9.55 spl5880_1614 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG973(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1614])])).
% 58.13/9.55 tff(f67260,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG973(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47776])).
% 58.13/9.55 tff(f47776,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG973(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38315])).
% 58.13/9.55 tff(f86653,plain,(
% 58.13/9.55 spl5880_1613),
% 58.13/9.55 inference(avatar_split_clause,[],[f67259,f86651])).
% 58.13/9.55 tff(f86651,plain,(
% 58.13/9.55 spl5880_1613 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG974(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1613])])).
% 58.13/9.55 tff(f67259,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG974(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f47773])).
% 58.13/9.55 tff(f47773,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG974(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38314])).
% 58.13/9.55 tff(f86648,plain,(
% 58.13/9.55 spl5880_1612),
% 58.13/9.55 inference(avatar_split_clause,[],[f66970,f86646])).
% 58.13/9.55 tff(f66970,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1451(zero_zero(nat),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f46865])).
% 58.13/9.55 tff(f46865,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat] : (iG1451(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27537])).
% 58.13/9.55 tff(f27537,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1451(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG1451(X2,X3) = X3 | zero_zero(nat) != X2)),
% 58.13/9.55 inference(ennf_transformation,[],[f21064])).
% 58.13/9.55 tff(f21064,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1451(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG1451(X2,X3) = X3)),
% 58.13/9.55 inference(flattening,[],[f21063])).
% 58.13/9.55 tff(f21063,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG1451(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG1451(X2,X3) = X3)),
% 58.13/9.55 inference(rectify,[],[f17839])).
% 58.13/9.55 tff(f86644,plain,(
% 58.13/9.55 spl5880_1611 | ~spl5880_183 | ~spl5880_795),
% 58.13/9.55 inference(avatar_split_clause,[],[f85167,f82348,f79358,f86641])).
% 58.13/9.55 tff(f86641,plain,(
% 58.13/9.55 spl5880_1611 <=> sP1914(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1611])])).
% 58.13/9.55 tff(f79358,plain,(
% 58.13/9.55 spl5880_183 <=> linord4710134922213307826strict(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_183])])).
% 58.13/9.55 tff(f85167,plain,(
% 58.13/9.55 sP1914(rat) | (~spl5880_183 | ~spl5880_795)),
% 58.13/9.55 inference(resolution,[],[f82349,f79360])).
% 58.13/9.55 tff(f79360,plain,(
% 58.13/9.55 linord4710134922213307826strict(rat) | ~spl5880_183),
% 58.13/9.55 inference(avatar_component_clause,[],[f79358])).
% 58.13/9.55 tff(f86638,plain,(
% 58.13/9.55 spl5880_1610),
% 58.13/9.55 inference(avatar_split_clause,[],[f66969,f86636])).
% 58.13/9.55 tff(f66969,plain,(
% 58.13/9.55 ( ! [X3 : nat] : (iG1452(zero_zero(nat),X3) = X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f46863])).
% 58.13/9.55 tff(f46863,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat] : (iG1452(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27536])).
% 58.13/9.55 tff(f86634,plain,(
% 58.13/9.55 spl5880_1609),
% 58.13/9.55 inference(avatar_split_clause,[],[f66930,f86632])).
% 58.13/9.55 tff(f86632,plain,(
% 58.13/9.55 spl5880_1609 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1515(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1609])])).
% 58.13/9.55 tff(f66930,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1515(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f46724])).
% 58.13/9.55 tff(f46724,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG1515(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38040])).
% 58.13/9.55 tff(f86630,plain,(
% 58.13/9.55 spl5880_1608),
% 58.13/9.55 inference(avatar_split_clause,[],[f66929,f86628])).
% 58.13/9.55 tff(f86628,plain,(
% 58.13/9.55 spl5880_1608 <=> ! [X9 : list(vEBT_VEBT),X7 : nat,X6 : nat,X8 : nat] : iG1516(X6,X6,X7,X8,X9)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1608])])).
% 58.13/9.55 tff(f66929,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG1516(X6,X6,X7,X8,X9)) )),
% 58.13/9.55 inference(equality_resolution,[],[f46721])).
% 58.13/9.55 tff(f46721,plain,(
% 58.13/9.55 ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG1516(X5,X6,X7,X8,X9) | X5 != X6) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38039])).
% 58.13/9.55 tff(f86626,plain,(
% 58.13/9.55 spl5880_1607),
% 58.13/9.55 inference(avatar_split_clause,[],[f65742,f86623])).
% 58.13/9.55 tff(f86623,plain,(
% 58.13/9.55 spl5880_1607 <=> one_one(int) = iG310(one_one(code_integer))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1607])])).
% 58.13/9.55 tff(f65742,plain,(
% 58.13/9.55 one_one(int) = iG310(one_one(code_integer))),
% 58.13/9.55 inference(definition_unfolding,[],[f50014,f50613])).
% 58.13/9.55 tff(f50014,plain,(
% 58.13/9.55 one_one(int) = code_int_of_integer(one_one(code_integer))),
% 58.13/9.55 inference(cnf_transformation,[],[f5446])).
% 58.13/9.55 tff(f5446,axiom,(
% 58.13/9.55 one_one(int) = code_int_of_integer(one_one(code_integer))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5445_one__integer_Orep__eq)).
% 58.13/9.55 tff(f86621,plain,(
% 58.13/9.55 spl5880_1606),
% 58.13/9.55 inference(avatar_split_clause,[],[f65739,f86618])).
% 58.13/9.55 tff(f86618,plain,(
% 58.13/9.55 spl5880_1606 <=> one_one(code_integer) = iG307(one_one(int))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1606])])).
% 58.13/9.55 tff(f65739,plain,(
% 58.13/9.55 one_one(code_integer) = iG307(one_one(int))),
% 58.13/9.55 inference(definition_unfolding,[],[f50010,f50611])).
% 58.13/9.55 tff(f50010,plain,(
% 58.13/9.55 one_one(code_integer) = code_integer_of_int(one_one(int))),
% 58.13/9.55 inference(cnf_transformation,[],[f5428])).
% 58.13/9.55 tff(f5428,axiom,(
% 58.13/9.55 one_one(code_integer) = code_integer_of_int(one_one(int))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5427_one__integer__def)).
% 58.13/9.55 tff(f86616,plain,(
% 58.13/9.55 spl5880_1605),
% 58.13/9.55 inference(avatar_split_clause,[],[f65054,f86614])).
% 58.13/9.55 tff(f86612,plain,(
% 58.13/9.55 spl5880_1604),
% 58.13/9.55 inference(avatar_split_clause,[],[f64824,f86609])).
% 58.13/9.55 tff(f64824,plain,(
% 58.13/9.55 zero_zero(real) = cos(real,sK5879)),
% 58.13/9.55 inference(cnf_transformation,[],[f46102])).
% 58.13/9.55 tff(f86607,plain,(
% 58.13/9.55 spl5880_1603),
% 58.13/9.55 inference(avatar_split_clause,[],[f59989,f86605])).
% 58.13/9.55 tff(f86605,plain,(
% 58.13/9.55 spl5880_1603 <=> ! [X0 : nat,X1 : nat] : dvd_dvd(nat,sK4245(X0,X1),X1)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1603])])).
% 58.13/9.55 tff(f59989,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK4245(X0,X1),X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42764])).
% 58.13/9.55 tff(f42764,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : ((sK4245(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4246(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4247(X0,X1))) | sK4245(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4246(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4247(X0,X1)))) & dvd_dvd(nat,sK4245(X0,X1),X1) & dvd_dvd(nat,sK4245(X0,X1),X0))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4245,sK4246,sK4247])],[f26283,f42763])).
% 58.13/9.55 tff(f42763,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : (? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)) = X2 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)) = X2) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0)) => ((sK4245(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4246(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4247(X0,X1))) | sK4245(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4246(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4247(X0,X1)))) & dvd_dvd(nat,sK4245(X0,X1),X1) & dvd_dvd(nat,sK4245(X0,X1),X0)))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f26283,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : ? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)) = X2 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)) = X2) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0))),
% 58.13/9.55 inference(rectify,[],[f1988])).
% 58.13/9.55 tff(f1988,axiom,(
% 58.13/9.55 ! [X11 : nat,X12 : nat] : ? [X82 : nat,X29 : nat,X52 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X12),X29)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X11),X52)) = X82 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X11),X29)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X12),X52)) = X82) & dvd_dvd(nat,X82,X12) & dvd_dvd(nat,X82,X11))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1987_bezout1__nat)).
% 58.13/9.55 tff(f86603,plain,(
% 58.13/9.55 spl5880_1602),
% 58.13/9.55 inference(avatar_split_clause,[],[f59988,f86601])).
% 58.13/9.55 tff(f86601,plain,(
% 58.13/9.55 spl5880_1602 <=> ! [X0 : nat,X1 : nat] : dvd_dvd(nat,sK4245(X0,X1),X0)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1602])])).
% 58.13/9.55 tff(f59988,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK4245(X0,X1),X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42764])).
% 58.13/9.55 tff(f86599,plain,(
% 58.13/9.55 spl5880_1601),
% 58.13/9.55 inference(avatar_split_clause,[],[f59986,f86597])).
% 58.13/9.55 tff(f86597,plain,(
% 58.13/9.55 spl5880_1601 <=> ! [X0 : nat,X1 : nat] : dvd_dvd(nat,sK4242(X0,X1),X1)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1601])])).
% 58.13/9.55 tff(f59986,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK4242(X0,X1),X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42762])).
% 58.13/9.55 tff(f42762,plain,(
% 58.13/9.55 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4243(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),sK4244(X0,X1))),sK4242(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4243(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),sK4244(X0,X1))),sK4242(X0,X1))) & dvd_dvd(nat,sK4242(X0,X1),X1) & dvd_dvd(nat,sK4242(X0,X1),X0))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4242,sK4243,sK4244])],[f26282,f42761])).
% 58.13/9.55 tff(f42761,plain,(
% 58.13/9.55 ! [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)) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0)) => ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK4243(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),sK4244(X0,X1))),sK4242(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK4243(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),sK4244(X0,X1))),sK4242(X0,X1))) & dvd_dvd(nat,sK4242(X0,X1),X1) & dvd_dvd(nat,sK4242(X0,X1),X0)))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f26282,plain,(
% 58.13/9.55 ! [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)) & dvd_dvd(nat,X2,X1) & dvd_dvd(nat,X2,X0))),
% 58.13/9.55 inference(rectify,[],[f1987])).
% 58.13/9.55 tff(f1987,axiom,(
% 58.13/9.55 ! [X11 : nat,X12 : nat] : ? [X82 : nat,X29 : nat,X52 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X12),X29) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X11),X52)),X82) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X11),X29) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X12),X52)),X82)) & dvd_dvd(nat,X82,X12) & dvd_dvd(nat,X82,X11))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1986_bezout__add__nat)).
% 58.13/9.55 tff(f86595,plain,(
% 58.13/9.55 spl5880_1600 | ~spl5880_187 | ~spl5880_795),
% 58.13/9.55 inference(avatar_split_clause,[],[f85166,f82348,f79378,f86592])).
% 58.13/9.55 tff(f86592,plain,(
% 58.13/9.55 spl5880_1600 <=> sP1914(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1600])])).
% 58.13/9.55 tff(f79378,plain,(
% 58.13/9.55 spl5880_187 <=> linord4710134922213307826strict(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_187])])).
% 58.13/9.55 tff(f85166,plain,(
% 58.13/9.55 sP1914(real) | (~spl5880_187 | ~spl5880_795)),
% 58.13/9.55 inference(resolution,[],[f82349,f79380])).
% 58.13/9.55 tff(f79380,plain,(
% 58.13/9.55 linord4710134922213307826strict(real) | ~spl5880_187),
% 58.13/9.55 inference(avatar_component_clause,[],[f79378])).
% 58.13/9.55 tff(f86590,plain,(
% 58.13/9.55 spl5880_1599),
% 58.13/9.55 inference(avatar_split_clause,[],[f59985,f86588])).
% 58.13/9.55 tff(f86588,plain,(
% 58.13/9.55 spl5880_1599 <=> ! [X0 : nat,X1 : nat] : dvd_dvd(nat,sK4242(X0,X1),X0)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1599])])).
% 58.13/9.55 tff(f59985,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,sK4242(X0,X1),X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42762])).
% 58.13/9.55 tff(f86586,plain,(
% 58.13/9.55 spl5880_1598),
% 58.13/9.55 inference(avatar_split_clause,[],[f59406,f86584])).
% 58.13/9.55 tff(f86584,plain,(
% 58.13/9.55 spl5880_1598 <=> ! [X1 : $tType,X0 : list(list(X1))] : (sP2109(X1,X0) | ~sP2110(X1,X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1598])])).
% 58.13/9.55 tff(f59406,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : list(list(X1))] : (sP2109(X1,X0) | ~sP2110(X1,X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42400])).
% 58.13/9.55 tff(f86582,plain,(
% 58.13/9.55 spl5880_1597),
% 58.13/9.55 inference(avatar_split_clause,[],[f59392,f86580])).
% 58.13/9.55 tff(f86580,plain,(
% 58.13/9.55 spl5880_1597 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP2108(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1597])])).
% 58.13/9.55 tff(f59392,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP2108(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42383])).
% 58.13/9.55 tff(f42383,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : ((vEBT_invar_vebt(X0,X1) | ~sP2108(X0,X1)) & (sP2108(X0,X1) | ~vEBT_invar_vebt(X0,X1)))),
% 58.13/9.55 inference(nnf_transformation,[],[f37368])).
% 58.13/9.55 tff(f37368,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> sP2108(X0,X1))),
% 58.13/9.55 inference(definition_folding,[],[f34945,f37367,f37366,f37365,f37364,f37363,f37362,f37361,f37360,f37359,f37358,f37357,f37356,f37355])).
% 58.13/9.55 tff(f37355,plain,(
% 58.13/9.55 ! [X18 : nat,X17 : nat,X15 : nat,X19 : nat,X14 : list(vEBT_VEBT)] : (sP2096(X18,X17,X15,X19,X14) <=> ! [X20 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X20),X18)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X17),X20))) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2096])])).
% 58.13/9.55 tff(f37356,plain,(
% 58.13/9.55 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : (sP2097(X14,X15,X17,X18) <=> (! [X19 : nat] : ((sP2096(X18,X17,X15,X19,X14) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2097])])).
% 58.13/9.55 tff(f37357,plain,(
% 58.13/9.55 ! [X16 : vEBT_VEBT,X14 : list(vEBT_VEBT),X15 : nat] : (sP2098(X16,X14,X15) <=> ! [X23 : nat] : ((? [X24 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X16),X23))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2098])])).
% 58.13/9.55 tff(f37359,plain,(
% 58.13/9.55 ! [X6 : nat,X5 : nat,X3 : nat,X7 : nat,X2 : list(vEBT_VEBT)] : (sP2100(X6,X5,X3,X7,X2) <=> ! [X8 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X8))) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2100])])).
% 58.13/9.55 tff(f37360,plain,(
% 58.13/9.55 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : (sP2101(X2,X3,X5,X6) <=> (! [X7 : nat] : ((sP2100(X6,X5,X3,X7,X2) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2101])])).
% 58.13/9.55 tff(f37361,plain,(
% 58.13/9.55 ! [X4 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat] : (sP2102(X4,X2,X3) <=> ! [X11 : nat] : ((? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X11))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2102])])).
% 58.13/9.55 tff(f34945,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((! [X7 : nat] : ((! [X8 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X8))) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X5 != X6) & ! [X11 : nat] : ((? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X11))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((! [X19 : nat] : ((! [X20 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X20),X18)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X17),X20))) | ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) | ~member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | X17 != X18) & ! [X23 : nat] : ((? [X24 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X16),X23))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) | ~member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & ! [X31 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) | ~member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & ! [X38 : nat] : ($true != aa(nat,$o,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) | ~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 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0)))),
% 58.13/9.55 inference(flattening,[],[f34944])).
% 58.13/9.55 tff(f34944,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((! [X7 : nat] : ((! [X8 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X8))) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7)) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)) | ~member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) | X5 != X6) & ! [X11 : nat] : ((? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X11))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((! [X19 : nat] : ((! [X20 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X20),X18)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X17),X20))) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19)) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),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) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)) | ~member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) | X17 != X18) & ! [X23 : nat] : ((? [X24 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X16),X23))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) | ~member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & ! [X31 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) | ~member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) & ! [X38 : nat] : ($true != aa(nat,$o,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) | ~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 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0)))),
% 58.13/9.55 inference(ennf_transformation,[],[f16587])).
% 58.13/9.55 tff(f16587,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((X5 != X6 => ! [X7 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) & vEBT_VEBT_high(X8,X3) = X7) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X8)))) & (vEBT_VEBT_high(X6,X3) = X7 => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6)) & (X5 = X6 => ! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10)))) & ! [X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)))) => (? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X4),X11)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (member(vEBT_VEBT,X13,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => vEBT_invar_vebt(X13,X3)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((X17 != X18 => ! [X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) & vEBT_VEBT_high(X20,X15) = X19) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X20),X18)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X17),X20)))) & (vEBT_VEBT_high(X18,X15) = X19 => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))))))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18)) & (X17 = X18 => ! [X21 : vEBT_VEBT] : (member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)) => ~? [X22 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22)))) & ! [X23 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15))) => (? [X24 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X16),X23)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)) => vEBT_invar_vebt(X25,X15)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)) => ~? [X30 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30))) & ~? [X31 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)) => vEBT_invar_vebt(X32,X27)) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)) => ~? [X37 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37))) & ~? [X38 : nat] : ($true = aa(nat,$o,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] : (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 : $o,X41 : $o] : vEBT_Leaf(bG981(X40),bG982(X41)) = X0)))),
% 58.13/9.55 inference(fool_elimination,[],[f16584,f16586,f16585])).
% 58.13/9.55 tff(f16584,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((X5 != X6 => ! [X7 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))) => (! [X8 : nat] : ((aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3)) & vEBT_VEBT_high(X8,X3) = X7) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X8),X6) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X8))) & (vEBT_VEBT_high(X6,X3) = X7 => aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3)))))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X6) & (X5 = X6 => ! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => ~? [X10 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10))) & ! [X11 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),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] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12) <=> aa(nat,$o,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] : (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] : (aa(nat,$o,aa(nat,fun(nat,$o),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] : ((aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15)) & vEBT_VEBT_high(X20,X15) = X19) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X20),X18) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X17),X20))) & (vEBT_VEBT_high(X18,X15) = X19 => aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15)))))) & aa(nat,$o,aa(nat,fun(nat,$o),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)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X17),X18) & (X17 = X18 => ! [X21 : vEBT_VEBT] : (member(vEBT_VEBT,X21,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)) => ~? [X22 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X21),X22))) & ! [X23 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)) => (? [X24 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24) <=> aa(nat,$o,vEBT_V8194947554948674370ptions(X16),X23))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (member(vEBT_VEBT,X25,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)) => vEBT_invar_vebt(X25,X15)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (member(vEBT_VEBT,X29,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)) => ~? [X30 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X29),X30)) & ~? [X31 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X28),X31) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (member(vEBT_VEBT,X32,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)) => vEBT_invar_vebt(X32,X27)) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (member(vEBT_VEBT,X36,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)) => ~? [X37 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X36),X37)) & ~? [X38 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X35),X38) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (member(vEBT_VEBT,X39,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)) => vEBT_invar_vebt(X39,X34)) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40,X41] : X0 = vEBT_Leaf(X40,X41))))),
% 58.13/9.55 inference(rectify,[],[f1541])).
% 58.13/9.55 tff(f1541,axiom,(
% 58.13/9.55 ! [X190 : vEBT_VEBT,X191 : nat] : (vEBT_invar_vebt(X190,X191) <=> (? [X192 : list(vEBT_VEBT),X193 : nat,X194 : vEBT_VEBT,X195 : nat,X196 : nat] : ((X195 != X196 => ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X193))) => (! [X65 : nat] : ((aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),vEBT_VEBT_low(X65,X193)) & vEBT_VEBT_high(X65,X193) = X45) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X65),X196) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X195),X65))) & (vEBT_VEBT_high(X196,X193) = X45 => aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),vEBT_VEBT_low(X196,X193)))))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X196),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X191)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X195),X196) & (X195 = X196 => ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X23))) & ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),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,X193))) => (? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),X23) <=> aa(nat,$o,vEBT_V8194947554948674370ptions(X194),X45))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X193),aa(nat,nat,suc,X193)) = X191 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X192) = 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,X193)) & vEBT_invar_vebt(X194,aa(nat,nat,suc,X193)) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => vEBT_invar_vebt(X65,X193)) & 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),X195),X196)),X191,X192,X194) = X190) | ? [X192 : list(vEBT_VEBT),X193 : nat,X194 : vEBT_VEBT,X195 : nat,X196 : nat] : ((X195 != X196 => ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X193)) => (! [X65 : nat] : ((aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),vEBT_VEBT_low(X65,X193)) & vEBT_VEBT_high(X65,X193) = X45) => (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X65),X196) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X195),X65))) & (vEBT_VEBT_high(X196,X193) = X45 => aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),vEBT_VEBT_low(X196,X193)))))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X196),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X191)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X195),X196) & (X195 = X196 => ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X23))) & ! [X45 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X45),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X193)) => (? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X192),X45)),X23) <=> aa(nat,$o,vEBT_V8194947554948674370ptions(X194),X45))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X193),X193) = X191 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X192) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X193) & vEBT_invar_vebt(X194,X193) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => vEBT_invar_vebt(X65,X193)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X195),X196)),X191,X192,X194) = X190) | ? [X192 : list(vEBT_VEBT),X193 : nat,X194 : vEBT_VEBT] : (! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X23)) & ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X194),X23) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X193),aa(nat,nat,suc,X193)) = X191 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X192) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X193)) & vEBT_invar_vebt(X194,aa(nat,nat,suc,X193)) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => vEBT_invar_vebt(X65,X193)) & vEBT_Node(none(product_prod(nat,nat)),X191,X192,X194) = X190) | ? [X192 : list(vEBT_VEBT),X193 : nat,X194 : vEBT_VEBT] : (! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X65),X23)) & ~? [X23 : nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(X194),X23) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X193),X193) = X191 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X192) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X193) & vEBT_invar_vebt(X194,X193) & ! [X65 : vEBT_VEBT] : (member(vEBT_VEBT,X65,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X192)) => vEBT_invar_vebt(X65,X193)) & vEBT_Node(none(product_prod(nat,nat)),X191,X192,X194) = X190) | (aa(nat,nat,suc,zero_zero(nat)) = X191 & ? [X137 : $o,X138 : $o] : X190 = vEBT_Leaf(X137,X138))))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1540_invar__vebt_Osimps)).
% 58.13/9.55 tff(f86578,plain,(
% 58.13/9.55 spl5880_1596),
% 58.13/9.55 inference(avatar_split_clause,[],[f59391,f86576])).
% 58.13/9.55 tff(f59391,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42383])).
% 58.13/9.55 tff(f86574,plain,(
% 58.13/9.55 spl5880_1595),
% 58.13/9.55 inference(avatar_split_clause,[],[f59304,f86572])).
% 58.13/9.55 tff(f86572,plain,(
% 58.13/9.55 spl5880_1595 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2107(X1,X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1595])])).
% 58.13/9.55 tff(f59304,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2107(X1,X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42312])).
% 58.13/9.55 tff(f86570,plain,(
% 58.13/9.55 spl5880_1594),
% 58.13/9.55 inference(avatar_split_clause,[],[f59303,f86568])).
% 58.13/9.55 tff(f86568,plain,(
% 58.13/9.55 spl5880_1594 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2106(X1,X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1594])])).
% 58.13/9.55 tff(f59303,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2106(X1,X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42312])).
% 58.13/9.55 tff(f86566,plain,(
% 58.13/9.55 spl5880_1593),
% 58.13/9.55 inference(avatar_split_clause,[],[f59302,f86564])).
% 58.13/9.55 tff(f86564,plain,(
% 58.13/9.55 spl5880_1593 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2105(X1,X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1593])])).
% 58.13/9.55 tff(f59302,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2105(X1,X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42312])).
% 58.13/9.55 tff(f86562,plain,(
% 58.13/9.55 spl5880_1592),
% 58.13/9.55 inference(avatar_split_clause,[],[f59301,f86560])).
% 58.13/9.55 tff(f86560,plain,(
% 58.13/9.55 spl5880_1592 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2104(X1,X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1592])])).
% 58.13/9.55 tff(f59301,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP2108(X0,X1) | ~sP2104(X1,X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42312])).
% 58.13/9.55 tff(f86558,plain,(
% 58.13/9.55 spl5880_1591),
% 58.13/9.55 inference(avatar_split_clause,[],[f58774,f86556])).
% 58.13/9.55 tff(f86556,plain,(
% 58.13/9.55 spl5880_1591 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2084(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1591])])).
% 58.13/9.55 tff(f58774,plain,(
% 58.13/9.55 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2084(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42061])).
% 58.13/9.55 tff(f86554,plain,(
% 58.13/9.55 spl5880_1590),
% 58.13/9.55 inference(avatar_split_clause,[],[f58765,f86552])).
% 58.13/9.55 tff(f86552,plain,(
% 58.13/9.55 spl5880_1590 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2087(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1590])])).
% 58.13/9.55 tff(f58765,plain,(
% 58.13/9.55 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2087(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42051])).
% 58.13/9.55 tff(f42051,plain,(
% 58.13/9.55 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),sK3989(X0,X1),sK3990(X0,X1),sK3991(X0,X1)))) & ($true = X0) & vEBT_Node(none(product_prod(nat,nat)),sK3989(X0,X1),sK3990(X0,X1),sK3991(X0,X1)) = X1) | ~sP2087(X0,X1))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3989,sK3990,sK3991])],[f42049,f42050])).
% 58.13/9.55 tff(f42050,plain,(
% 58.13/9.55 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & ($true = X0) & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),sK3989(X0,X1),sK3990(X0,X1),sK3991(X0,X1)))) & ($true = X0) & vEBT_Node(none(product_prod(nat,nat)),sK3989(X0,X1),sK3990(X0,X1),sK3991(X0,X1)) = X1))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f42049,plain,(
% 58.13/9.55 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4))) & ($true = X0) & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP2087(X0,X1))),
% 58.13/9.55 inference(rectify,[],[f42048])).
% 58.13/9.55 tff(f42048,plain,(
% 58.13/9.55 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & ($true = X1) & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2087(X1,X0))),
% 58.13/9.55 inference(nnf_transformation,[],[f37340])).
% 58.13/9.55 tff(f37340,plain,(
% 58.13/9.55 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6))) & ($true = X1) & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP2087(X1,X0))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2087])])).
% 58.13/9.55 tff(f86550,plain,(
% 58.13/9.55 spl5880_1589 | ~spl5880_182 | ~spl5880_795),
% 58.13/9.55 inference(avatar_split_clause,[],[f85165,f82348,f79353,f86547])).
% 58.13/9.55 tff(f86547,plain,(
% 58.13/9.55 spl5880_1589 <=> sP1914(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1589])])).
% 58.13/9.55 tff(f79353,plain,(
% 58.13/9.55 spl5880_182 <=> linord4710134922213307826strict(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_182])])).
% 58.13/9.55 tff(f85165,plain,(
% 58.13/9.55 sP1914(code_integer) | (~spl5880_182 | ~spl5880_795)),
% 58.13/9.55 inference(resolution,[],[f82349,f79355])).
% 58.13/9.55 tff(f79355,plain,(
% 58.13/9.55 linord4710134922213307826strict(code_integer) | ~spl5880_182),
% 58.13/9.55 inference(avatar_component_clause,[],[f79353])).
% 58.13/9.55 tff(f86545,plain,(
% 58.13/9.55 spl5880_1588),
% 58.13/9.55 inference(avatar_split_clause,[],[f58754,f86543])).
% 58.13/9.55 tff(f86543,plain,(
% 58.13/9.55 spl5880_1588 <=> ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2081(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1588])])).
% 58.13/9.55 tff(f58754,plain,(
% 58.13/9.55 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true = X0) | ~sP2081(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42037])).
% 58.13/9.55 tff(f86541,plain,(
% 58.13/9.55 spl5880_1587),
% 58.13/9.55 inference(avatar_split_clause,[],[f58018,f86539])).
% 58.13/9.55 tff(f58018,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33742])).
% 58.13/9.55 tff(f33742,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25950])).
% 58.13/9.55 tff(f25950,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_VEBT_valid(X0,X1))),
% 58.13/9.55 inference(rectify,[],[f5210])).
% 58.13/9.55 tff(f5210,axiom,(
% 58.13/9.55 ! [X7 : vEBT_VEBT,X10 : nat] : (vEBT_invar_vebt(X7,X10) => vEBT_VEBT_valid(X7,X10))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5209_valid__eq1)).
% 58.13/9.55 tff(f86537,plain,(
% 58.13/9.55 spl5880_1586),
% 58.13/9.55 inference(avatar_split_clause,[],[f57972,f86535])).
% 58.13/9.55 tff(f86535,plain,(
% 58.13/9.55 spl5880_1586 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1586])])).
% 58.13/9.55 tff(f57972,plain,(
% 58.13/9.55 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33727])).
% 58.13/9.55 tff(f33727,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25939])).
% 58.13/9.55 tff(f25939,plain,(
% 58.13/9.55 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => vEBT_invar_vebt(X0,X1))),
% 58.13/9.55 inference(rectify,[],[f5211])).
% 58.13/9.55 tff(f5211,axiom,(
% 58.13/9.55 ! [X7 : vEBT_VEBT,X10 : nat] : (vEBT_VEBT_valid(X7,X10) => vEBT_invar_vebt(X7,X10))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5210_valid__eq2)).
% 58.13/9.55 tff(f86533,plain,(
% 58.13/9.55 spl5880_1585),
% 58.13/9.55 inference(avatar_split_clause,[],[f57900,f86531])).
% 58.13/9.55 tff(f86531,plain,(
% 58.13/9.55 spl5880_1585 <=> ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1585])])).
% 58.13/9.55 tff(f57900,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33690])).
% 58.13/9.55 tff(f33690,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25928])).
% 58.13/9.55 tff(f25928,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order(X1) => order(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9063])).
% 58.13/9.55 tff(f9063,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (order(X464) => order(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder)).
% 58.13/9.55 tff(f86529,plain,(
% 58.13/9.55 spl5880_1584),
% 58.13/9.55 inference(avatar_split_clause,[],[f57889,f86527])).
% 58.13/9.55 tff(f86527,plain,(
% 58.13/9.55 spl5880_1584 <=> ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1584])])).
% 58.13/9.55 tff(f57889,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33682])).
% 58.13/9.55 tff(f33682,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25926])).
% 58.13/9.55 tff(f25926,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (ord(X1) => ord(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9064])).
% 58.13/9.55 tff(f9064,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (ord(X464) => ord(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oord)).
% 58.13/9.55 tff(f86525,plain,(
% 58.13/9.55 spl5880_1583),
% 58.13/9.55 inference(avatar_split_clause,[],[f57888,f86523])).
% 58.13/9.55 tff(f86523,plain,(
% 58.13/9.55 spl5880_1583 <=> ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1583])])).
% 58.13/9.55 tff(f57888,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33681])).
% 58.13/9.55 tff(f33681,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25925])).
% 58.13/9.55 tff(f25925,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (preorder(X1) => preorder(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9061])).
% 58.13/9.55 tff(f9061,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (preorder(X464) => preorder(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Opreorder)).
% 58.13/9.55 tff(f86521,plain,(
% 58.13/9.55 spl5880_1582),
% 58.13/9.55 inference(avatar_split_clause,[],[f57885,f86519])).
% 58.13/9.55 tff(f86519,plain,(
% 58.13/9.55 spl5880_1582 <=> ! [X1 : $tType,X0 : $tType] : (minus(fun(X0,X1)) | ~minus(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1582])])).
% 58.13/9.55 tff(f57885,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (minus(fun(X0,X1)) | ~minus(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33678])).
% 58.13/9.55 tff(f33678,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (minus(fun(X0,X1)) | ~minus(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25922])).
% 58.13/9.55 tff(f25922,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (minus(X1) => minus(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9066])).
% 58.13/9.55 tff(f9066,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (minus(X464) => minus(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Groups_Ominus)).
% 58.13/9.55 tff(f86517,plain,(
% 58.13/9.55 spl5880_1581),
% 58.13/9.55 inference(avatar_split_clause,[],[f57884,f86515])).
% 58.13/9.55 tff(f86515,plain,(
% 58.13/9.55 spl5880_1581 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1581])])).
% 58.13/9.55 tff(f57884,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33677])).
% 58.13/9.55 tff(f33677,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25921])).
% 58.13/9.55 tff(f25921,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (semilattice_sup(X1) => semilattice_sup(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9057])).
% 58.13/9.55 tff(f9057,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (semilattice_sup(X464) => semilattice_sup(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__sup)).
% 58.13/9.55 tff(f86513,plain,(
% 58.13/9.55 spl5880_1580),
% 58.13/9.55 inference(avatar_split_clause,[],[f57883,f86511])).
% 58.13/9.55 tff(f86511,plain,(
% 58.13/9.55 spl5880_1580 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1580])])).
% 58.13/9.55 tff(f57883,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33676])).
% 58.13/9.55 tff(f33676,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25920])).
% 58.13/9.55 tff(f25920,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (semilattice_inf(X1) => semilattice_inf(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9058])).
% 58.13/9.55 tff(f9058,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (semilattice_inf(X464) => semilattice_inf(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__inf)).
% 58.13/9.55 tff(f86509,plain,(
% 58.13/9.55 spl5880_1579),
% 58.13/9.55 inference(avatar_split_clause,[],[f57882,f86507])).
% 58.13/9.55 tff(f86507,plain,(
% 58.13/9.55 spl5880_1579 <=> ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1579])])).
% 58.13/9.55 tff(f57882,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33675])).
% 58.13/9.55 tff(f33675,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25919])).
% 58.13/9.55 tff(f25919,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (lattice(X1) => lattice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9062])).
% 58.13/9.55 tff(f9062,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (lattice(X464) => lattice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Olattice)).
% 58.13/9.55 tff(f86505,plain,(
% 58.13/9.55 spl5880_1578 | ~spl5880_186 | ~spl5880_794),
% 58.13/9.55 inference(avatar_split_clause,[],[f85164,f82344,f79373,f86502])).
% 58.13/9.55 tff(f86502,plain,(
% 58.13/9.55 spl5880_1578 <=> sP1912(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1578])])).
% 58.13/9.55 tff(f82344,plain,(
% 58.13/9.55 spl5880_794 <=> ! [X0 : $tType] : (sP1912(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_794])])).
% 58.13/9.55 tff(f85164,plain,(
% 58.13/9.55 sP1912(int) | (~spl5880_186 | ~spl5880_794)),
% 58.13/9.55 inference(resolution,[],[f82345,f79375])).
% 58.13/9.55 tff(f82345,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1912(X0)) ) | ~spl5880_794),
% 58.13/9.55 inference(avatar_component_clause,[],[f82344])).
% 58.13/9.55 tff(f86500,plain,(
% 58.13/9.55 spl5880_1577),
% 58.13/9.55 inference(avatar_split_clause,[],[f57822,f86498])).
% 58.13/9.55 tff(f86498,plain,(
% 58.13/9.55 spl5880_1577 <=> ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1577])])).
% 58.13/9.55 tff(f57822,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33632])).
% 58.13/9.55 tff(f33632,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25903])).
% 58.13/9.55 tff(f25903,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (uminus(X1) => uminus(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9065])).
% 58.13/9.55 tff(f9065,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (uminus(X464) => uminus(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Groups_Ouminus)).
% 58.13/9.55 tff(f86496,plain,(
% 58.13/9.55 spl5880_1576),
% 58.13/9.55 inference(avatar_split_clause,[],[f57602,f86494])).
% 58.13/9.55 tff(f86494,plain,(
% 58.13/9.55 spl5880_1576 <=> ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1576])])).
% 58.13/9.55 tff(f57602,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33458])).
% 58.13/9.55 tff(f33458,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25826])).
% 58.13/9.55 tff(f25826,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order_bot(X1) => order_bot(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9060])).
% 58.13/9.55 tff(f9060,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (order_bot(X464) => order_bot(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__bot)).
% 58.13/9.55 tff(f86492,plain,(
% 58.13/9.55 spl5880_1575),
% 58.13/9.55 inference(avatar_split_clause,[],[f57529,f86490])).
% 58.13/9.55 tff(f86490,plain,(
% 58.13/9.55 spl5880_1575 <=> ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1575])])).
% 58.13/9.55 tff(f57529,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33409])).
% 58.13/9.55 tff(f33409,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25815])).
% 58.13/9.55 tff(f25815,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => condit1219197933456340205attice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9050])).
% 58.13/9.55 tff(f9050,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (comple6319245703460814977attice(X464) => condit1219197933456340205attice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Conditionally__Complete__Lattices_Oconditionally__complete__lattice)).
% 58.13/9.55 tff(f86488,plain,(
% 58.13/9.55 spl5880_1574),
% 58.13/9.55 inference(avatar_split_clause,[],[f57528,f86486])).
% 58.13/9.55 tff(f86486,plain,(
% 58.13/9.55 spl5880_1574 <=> ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1574])])).
% 58.13/9.55 tff(f57528,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33408])).
% 58.13/9.55 tff(f33408,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25814])).
% 58.13/9.55 tff(f25814,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => comple6319245703460814977attice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9055])).
% 58.13/9.55 tff(f9055,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (comple6319245703460814977attice(X464) => comple6319245703460814977attice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__lattice)).
% 58.13/9.55 tff(f86484,plain,(
% 58.13/9.55 spl5880_1573),
% 58.13/9.55 inference(avatar_split_clause,[],[f57501,f86482])).
% 58.13/9.55 tff(f86482,plain,(
% 58.13/9.55 spl5880_1573 <=> ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1573])])).
% 58.13/9.55 tff(f57501,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33388])).
% 58.13/9.55 tff(f33388,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25813])).
% 58.13/9.55 tff(f25813,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (order_top(X1) => order_top(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9059])).
% 58.13/9.55 tff(f9059,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (order_top(X464) => order_top(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__top)).
% 58.13/9.55 tff(f86480,plain,(
% 58.13/9.55 spl5880_1572),
% 58.13/9.55 inference(avatar_split_clause,[],[f57500,f86478])).
% 58.13/9.55 tff(f86478,plain,(
% 58.13/9.55 spl5880_1572 <=> ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1572])])).
% 58.13/9.55 tff(f57500,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33387])).
% 58.13/9.55 tff(f33387,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25812])).
% 58.13/9.55 tff(f25812,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(X1) => counta3822494911875563373attice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9051])).
% 58.13/9.55 tff(f9051,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (counta3822494911875563373attice(X464) => counta3822494911875563373attice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Countable__Complete__Lattices_Ocountable__complete__lattice)).
% 58.13/9.55 tff(f86476,plain,(
% 58.13/9.55 spl5880_1571),
% 58.13/9.55 inference(avatar_split_clause,[],[f57499,f86474])).
% 58.13/9.55 tff(f86474,plain,(
% 58.13/9.55 spl5880_1571 <=> ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1571])])).
% 58.13/9.55 tff(f57499,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33386])).
% 58.13/9.55 tff(f33386,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25811])).
% 58.13/9.55 tff(f25811,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounde4967611905675639751up_bot(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9053])).
% 58.13/9.55 tff(f9053,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (bounded_lattice(X464) => bounde4967611905675639751up_bot(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__semilattice__sup__bot)).
% 58.13/9.55 tff(f86472,plain,(
% 58.13/9.55 spl5880_1570),
% 58.13/9.55 inference(avatar_split_clause,[],[f57498,f86470])).
% 58.13/9.55 tff(f86470,plain,(
% 58.13/9.55 spl5880_1570 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1570])])).
% 58.13/9.55 tff(f57498,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33385])).
% 58.13/9.55 tff(f33385,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25810])).
% 58.13/9.55 tff(f25810,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9049])).
% 58.13/9.55 tff(f9049,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (bounded_lattice(X464) => bounded_lattice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice_5)).
% 58.13/9.55 tff(f86468,plain,(
% 58.13/9.55 spl5880_1569),
% 58.13/9.55 inference(avatar_split_clause,[],[f57466,f86466])).
% 58.13/9.55 tff(f86466,plain,(
% 58.13/9.55 spl5880_1569 <=> ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1569])])).
% 58.13/9.55 tff(f57466,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33354])).
% 58.13/9.55 tff(f33354,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25800])).
% 58.13/9.55 tff(f25800,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(X1) => comple592849572758109894attice(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9052])).
% 58.13/9.55 tff(f9052,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (comple592849572758109894attice(X464) => comple592849572758109894attice(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__distrib__lattice)).
% 58.13/9.55 tff(f86464,plain,(
% 58.13/9.55 spl5880_1568),
% 58.13/9.55 inference(avatar_split_clause,[],[f57408,f86462])).
% 58.13/9.55 tff(f86462,plain,(
% 58.13/9.55 spl5880_1568 <=> ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1568])])).
% 58.13/9.55 tff(f57408,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f33301])).
% 58.13/9.55 tff(f33301,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f25788])).
% 58.13/9.55 tff(f25788,plain,(
% 58.13/9.55 ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(X1) => boolea8198339166811842893lgebra(fun(X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f9056])).
% 58.13/9.55 tff(f9056,axiom,(
% 58.13/9.55 ! [X463 : $tType,X464 : $tType] : (boolea8198339166811842893lgebra(X464) => boolea8198339166811842893lgebra(fun(X463,X464)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Boolean__Algebras_Oboolean__algebra)).
% 58.13/9.55 tff(f86460,plain,(
% 58.13/9.55 spl5880_1567 | ~spl5880_183 | ~spl5880_794),
% 58.13/9.55 inference(avatar_split_clause,[],[f85163,f82344,f79358,f86457])).
% 58.13/9.55 tff(f86457,plain,(
% 58.13/9.55 spl5880_1567 <=> sP1912(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1567])])).
% 58.13/9.55 tff(f85163,plain,(
% 58.13/9.55 sP1912(rat) | (~spl5880_183 | ~spl5880_794)),
% 58.13/9.55 inference(resolution,[],[f82345,f79360])).
% 58.13/9.55 tff(f86455,plain,(
% 58.13/9.55 spl5880_1566),
% 58.13/9.55 inference(avatar_split_clause,[],[f56620,f86453])).
% 58.13/9.55 tff(f86453,plain,(
% 58.13/9.55 spl5880_1566 <=> ! [X0 : real] : member(real,sK3377(X0),field_char_0_Rats(real))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1566])])).
% 58.13/9.55 tff(f56620,plain,(
% 58.13/9.55 ( ! [X0 : real] : (member(real,sK3377(X0),field_char_0_Rats(real))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f40980])).
% 58.13/9.55 tff(f86451,plain,(
% 58.13/9.55 spl5880_1565),
% 58.13/9.55 inference(avatar_split_clause,[],[f56618,f86449])).
% 58.13/9.55 tff(f86449,plain,(
% 58.13/9.55 spl5880_1565 <=> ! [X0 : real] : member(real,sK3376(X0),field_char_0_Rats(real))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1565])])).
% 58.13/9.55 tff(f56618,plain,(
% 58.13/9.55 ( ! [X0 : real] : (member(real,sK3376(X0),field_char_0_Rats(real))) )),
% 58.13/9.55 inference(cnf_transformation,[],[f40978])).
% 58.13/9.55 tff(f86447,plain,(
% 58.13/9.55 spl5880_1564),
% 58.13/9.55 inference(avatar_split_clause,[],[f55773,f86445])).
% 58.13/9.55 tff(f55773,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (sP1995(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f37193])).
% 58.13/9.55 tff(f37193,plain,(
% 58.13/9.55 ! [X0 : $tType] : (sP1995(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.13/9.55 inference(definition_folding,[],[f32272,f37192,f37191])).
% 58.13/9.55 tff(f37191,plain,(
% 58.13/9.55 ! [X1 : fun(X0,$o),X0 : $tType,X2 : X0] : (sP1994(X0,X1,X2) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1994])])).
% 58.13/9.55 tff(f32272,plain,(
% 58.13/9.55 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)))) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.13/9.55 inference(flattening,[],[f32271])).
% 58.13/9.55 tff(f32271,plain,(
% 58.13/9.55 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : ((($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X2))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)))) | (~topolo1944317154257567458pology(X0) | ~linordered_field(X0)))),
% 58.13/9.55 inference(ennf_transformation,[],[f13636])).
% 58.13/9.55 tff(f13636,plain,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X4)) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X2)) => ($true = aa(X0,$o,X1,X4)))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)))))),
% 58.13/9.55 inference(fool_elimination,[],[f13635])).
% 58.13/9.55 tff(f13635,plain,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X4) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X2) => aa(X0,$o,X1,X4))) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))))),
% 58.13/9.55 inference(rectify,[],[f6481])).
% 58.13/9.55 tff(f6481,axiom,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X26 : fun(X0,$o),X9 : X0] : (eventually(X0,X26,topolo174197925503356063within(X0,X9,set_ord_lessThan(X0,X9))) <=> ? [X138 : X0] : (! [X102 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X138),X102) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X102),X9) => aa(X0,$o,X26,X102))) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X138),X9))))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6480_eventually__at__left__field)).
% 58.13/9.55 tff(f86443,plain,(
% 58.13/9.55 spl5880_1563),
% 58.13/9.55 inference(avatar_split_clause,[],[f55765,f86441])).
% 58.13/9.55 tff(f55765,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (sP1993(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f37190])).
% 58.13/9.55 tff(f37190,plain,(
% 58.13/9.55 ! [X0 : $tType] : (sP1993(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.13/9.55 inference(definition_folding,[],[f32270,f37189,f37188])).
% 58.13/9.55 tff(f37188,plain,(
% 58.13/9.55 ! [X1 : fun(X0,$o),X0 : $tType,X2 : X0] : (sP1992(X0,X1,X2) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1992])])).
% 58.13/9.55 tff(f32270,plain,(
% 58.13/9.55 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)))) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 58.13/9.55 inference(flattening,[],[f32269])).
% 58.13/9.55 tff(f32269,plain,(
% 58.13/9.55 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : ((($true = aa(X0,$o,X1,X4)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)))) | (~topolo1944317154257567458pology(X0) | ~linordered_field(X0)))),
% 58.13/9.55 inference(ennf_transformation,[],[f13634])).
% 58.13/9.55 tff(f13634,plain,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4)) => (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3)) => ($true = aa(X0,$o,X1,X4)))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)))))),
% 58.13/9.55 inference(fool_elimination,[],[f13633])).
% 58.13/9.55 tff(f13633,plain,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,$o),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X3) => aa(X0,$o,X1,X4))) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))))),
% 58.13/9.55 inference(rectify,[],[f6483])).
% 58.13/9.55 tff(f6483,axiom,(
% 58.13/9.55 ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X26 : fun(X0,$o),X9 : X0] : (eventually(X0,X26,topolo174197925503356063within(X0,X9,set_ord_greaterThan(X0,X9))) <=> ? [X138 : X0] : (! [X102 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X9),X102) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X102),X138) => aa(X0,$o,X26,X102))) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X9),X138))))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6482_eventually__at__right__field)).
% 58.13/9.55 tff(f86439,plain,(
% 58.13/9.55 spl5880_1562),
% 58.13/9.55 inference(avatar_split_clause,[],[f54735,f86437])).
% 58.13/9.55 tff(f54735,plain,(
% 58.13/9.55 ( ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,X1,X1) | ~comm_monoid_mult(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f31455])).
% 58.13/9.55 tff(f31455,plain,(
% 58.13/9.55 ! [X0 : $tType] : (! [X1 : X0] : dvd_dvd(X0,X1,X1) | ~comm_monoid_mult(X0))),
% 58.13/9.55 inference(ennf_transformation,[],[f24743])).
% 58.13/9.55 tff(f24743,plain,(
% 58.13/9.55 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : dvd_dvd(X0,X1,X1))),
% 58.13/9.55 inference(rectify,[],[f1951])).
% 58.13/9.55 tff(f1951,axiom,(
% 58.13/9.55 ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X11 : X0] : dvd_dvd(X0,X11,X11))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1950_dvd__refl)).
% 58.13/9.55 tff(f86435,plain,(
% 58.13/9.55 spl5880_1561),
% 58.13/9.55 inference(avatar_split_clause,[],[f53989,f86433])).
% 58.13/9.55 tff(f86433,plain,(
% 58.13/9.55 spl5880_1561 <=> ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1561])])).
% 58.13/9.55 tff(f53989,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f30827])).
% 58.13/9.55 tff(f30827,plain,(
% 58.13/9.55 ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0))),
% 58.13/9.55 inference(ennf_transformation,[],[f7072])).
% 58.13/9.55 tff(f7072,axiom,(
% 58.13/9.55 ! [X0 : $tType] : (ring_1(X0) => ring_1_iszero(X0,zero_zero(X0)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7071_iszero__0)).
% 58.13/9.55 tff(f86431,plain,(
% 58.13/9.55 spl5880_1560),
% 58.13/9.55 inference(avatar_split_clause,[],[f53988,f86429])).
% 58.13/9.55 tff(f53988,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f30826])).
% 58.13/9.55 tff(f30826,plain,(
% 58.13/9.55 ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0))),
% 58.13/9.55 inference(ennf_transformation,[],[f7070])).
% 58.13/9.55 tff(f7070,axiom,(
% 58.13/9.55 ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,one_one(X0)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7069_not__iszero__1)).
% 58.13/9.55 tff(f86427,plain,(
% 58.13/9.55 spl5880_1559),
% 58.13/9.55 inference(avatar_split_clause,[],[f50022,f86424])).
% 58.13/9.55 tff(f86424,plain,(
% 58.13/9.55 spl5880_1559 <=> zero_zero(real) = im(one_one(complex))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1559])])).
% 58.13/9.55 tff(f50022,plain,(
% 58.13/9.55 zero_zero(real) = im(one_one(complex))),
% 58.13/9.55 inference(cnf_transformation,[],[f5242])).
% 58.13/9.55 tff(f5242,axiom,(
% 58.13/9.55 zero_zero(real) = im(one_one(complex))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5241_one__complex_Osimps_I2_J)).
% 58.13/9.55 tff(f86422,plain,(
% 58.13/9.55 spl5880_1558),
% 58.13/9.55 inference(avatar_split_clause,[],[f50021,f86419])).
% 58.13/9.55 tff(f86417,plain,(
% 58.13/9.55 spl5880_1557),
% 58.13/9.55 inference(avatar_split_clause,[],[f50019,f86414])).
% 58.13/9.55 tff(f86412,plain,(
% 58.13/9.55 spl5880_1556 | ~spl5880_187 | ~spl5880_794),
% 58.13/9.55 inference(avatar_split_clause,[],[f85162,f82344,f79378,f86409])).
% 58.13/9.55 tff(f86409,plain,(
% 58.13/9.55 spl5880_1556 <=> sP1912(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1556])])).
% 58.13/9.55 tff(f85162,plain,(
% 58.13/9.55 sP1912(real) | (~spl5880_187 | ~spl5880_794)),
% 58.13/9.55 inference(resolution,[],[f82345,f79380])).
% 58.13/9.55 tff(f86407,plain,(
% 58.13/9.55 spl5880_1555),
% 58.13/9.55 inference(avatar_split_clause,[],[f50013,f86404])).
% 58.13/9.55 tff(f86404,plain,(
% 58.13/9.55 spl5880_1555 <=> one_one(complex) = cnj(one_one(complex))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1555])])).
% 58.13/9.55 tff(f50013,plain,(
% 58.13/9.55 one_one(complex) = cnj(one_one(complex))),
% 58.13/9.55 inference(cnf_transformation,[],[f5297])).
% 58.13/9.55 tff(f5297,axiom,(
% 58.13/9.55 one_one(complex) = cnj(one_one(complex))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5296_complex__cnj__one)).
% 58.13/9.55 tff(f86400,plain,(
% 58.13/9.55 spl5880_1551 | spl5880_1554),
% 58.13/9.55 inference(avatar_split_clause,[],[f49273,f86397,f86382])).
% 58.13/9.55 tff(f49273,plain,(
% 58.13/9.55 xa = iG269 | mi = xa),
% 58.13/9.55 inference(cnf_transformation,[],[f28139])).
% 58.13/9.55 tff(f28139,plain,(
% 58.13/9.55 (xa = iG269 | mi = xa) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG269 | mi != xa)),
% 58.13/9.55 inference(ennf_transformation,[],[f22707])).
% 58.13/9.55 tff(f22707,plain,(
% 58.13/9.55 (mi != xa => xa = iG269) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG269)),
% 58.13/9.55 inference(flattening,[],[f9832])).
% 58.13/9.55 tff(f9832,plain,(
% 58.13/9.55 (~mi = xa => xa = iG269) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG269)),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG269])])).
% 58.13/9.55 tff(f86395,plain,(
% 58.13/9.55 ~spl5880_1553 | spl5880_1551 | ~spl5880_1552),
% 58.13/9.55 inference(avatar_split_clause,[],[f86390,f86386,f86382,f86392])).
% 58.13/9.55 tff(f86390,plain,(
% 58.13/9.55 mi != iG287 | (spl5880_1551 | ~spl5880_1552)),
% 58.13/9.55 inference(forward_demodulation,[],[f86383,f86388])).
% 58.13/9.55 tff(f86383,plain,(
% 58.13/9.55 mi != xa | spl5880_1551),
% 58.13/9.55 inference(avatar_component_clause,[],[f86382])).
% 58.13/9.55 tff(f86389,plain,(
% 58.13/9.55 spl5880_1551 | spl5880_1552),
% 58.13/9.55 inference(avatar_split_clause,[],[f49219,f86386,f86382])).
% 58.13/9.55 tff(f49219,plain,(
% 58.13/9.55 xa = iG287 | mi = xa),
% 58.13/9.55 inference(cnf_transformation,[],[f28120])).
% 58.13/9.55 tff(f28120,plain,(
% 58.13/9.55 (xa = iG287 | mi = xa) & (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG287 | mi != xa)),
% 58.13/9.55 inference(ennf_transformation,[],[f22690])).
% 58.13/9.55 tff(f22690,plain,(
% 58.13/9.55 (mi != xa => xa = iG287) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG287)),
% 58.13/9.55 inference(flattening,[],[f9873])).
% 58.13/9.55 tff(f9873,plain,(
% 58.13/9.55 (~mi = xa => xa = iG287) & (mi = xa => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))) = iG287)),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG287])])).
% 58.13/9.55 tff(f86380,plain,(
% 58.13/9.55 spl5880_1550),
% 58.13/9.55 inference(avatar_split_clause,[],[f9827,f86378])).
% 58.13/9.55 tff(f9827,plain,(
% 58.13/9.55 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 58.13/9.55 introduced(fool_axiom,[])).
% 58.13/9.55 tff(f86375,plain,(
% 58.13/9.55 spl5880_1549 | ~spl5880_182 | ~spl5880_794),
% 58.13/9.55 inference(avatar_split_clause,[],[f85161,f82344,f79353,f86372])).
% 58.13/9.55 tff(f86372,plain,(
% 58.13/9.55 spl5880_1549 <=> sP1912(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1549])])).
% 58.13/9.55 tff(f85161,plain,(
% 58.13/9.55 sP1912(code_integer) | (~spl5880_182 | ~spl5880_794)),
% 58.13/9.55 inference(resolution,[],[f82345,f79355])).
% 58.13/9.55 tff(f86359,plain,(
% 58.13/9.55 spl5880_1548 | ~spl5880_186 | ~spl5880_793),
% 58.13/9.55 inference(avatar_split_clause,[],[f85160,f82340,f79373,f86356])).
% 58.13/9.55 tff(f86356,plain,(
% 58.13/9.55 spl5880_1548 <=> sP1910(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1548])])).
% 58.13/9.55 tff(f82340,plain,(
% 58.13/9.55 spl5880_793 <=> ! [X0 : $tType] : (sP1910(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_793])])).
% 58.13/9.55 tff(f85160,plain,(
% 58.13/9.55 sP1910(int) | (~spl5880_186 | ~spl5880_793)),
% 58.13/9.55 inference(resolution,[],[f82341,f79375])).
% 58.13/9.55 tff(f82341,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1910(X0)) ) | ~spl5880_793),
% 58.13/9.55 inference(avatar_component_clause,[],[f82340])).
% 58.13/9.55 tff(f86354,plain,(
% 58.13/9.55 spl5880_1547 | ~spl5880_183 | ~spl5880_793),
% 58.13/9.55 inference(avatar_split_clause,[],[f85159,f82340,f79358,f86351])).
% 58.13/9.55 tff(f86351,plain,(
% 58.13/9.55 spl5880_1547 <=> sP1910(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1547])])).
% 58.13/9.55 tff(f85159,plain,(
% 58.13/9.55 sP1910(rat) | (~spl5880_183 | ~spl5880_793)),
% 58.13/9.55 inference(resolution,[],[f82341,f79360])).
% 58.13/9.55 tff(f86349,plain,(
% 58.13/9.55 spl5880_1546 | ~spl5880_187 | ~spl5880_793),
% 58.13/9.55 inference(avatar_split_clause,[],[f85158,f82340,f79378,f86346])).
% 58.13/9.55 tff(f86346,plain,(
% 58.13/9.55 spl5880_1546 <=> sP1910(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1546])])).
% 58.13/9.55 tff(f85158,plain,(
% 58.13/9.55 sP1910(real) | (~spl5880_187 | ~spl5880_793)),
% 58.13/9.55 inference(resolution,[],[f82341,f79380])).
% 58.13/9.55 tff(f86344,plain,(
% 58.13/9.55 spl5880_1545 | ~spl5880_1442 | ~spl5880_1507),
% 58.13/9.55 inference(avatar_split_clause,[],[f86165,f86161,f85776,f86341])).
% 58.13/9.55 tff(f86341,plain,(
% 58.13/9.55 spl5880_1545 <=> iG874($true) = iG714($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1545])])).
% 58.13/9.55 tff(f85776,plain,(
% 58.13/9.55 spl5880_1442 <=> one_one(nat) = iG871($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1442])])).
% 58.13/9.55 tff(f86161,plain,(
% 58.13/9.55 spl5880_1507 <=> iG874($true) = iG871($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1507])])).
% 58.13/9.55 tff(f86165,plain,(
% 58.13/9.55 iG874($true) = iG714($true) | (~spl5880_1442 | ~spl5880_1507)),
% 58.13/9.55 inference(forward_demodulation,[],[f86163,f85780])).
% 58.13/9.55 tff(f85780,plain,(
% 58.13/9.55 iG871($true) = iG714($true) | ~spl5880_1442),
% 58.13/9.55 inference(forward_demodulation,[],[f85778,f67470])).
% 58.13/9.55 tff(f67470,plain,(
% 58.13/9.55 one_one(nat) = iG714($true)),
% 58.13/9.55 inference(equality_resolution,[],[f48329])).
% 58.13/9.55 tff(f48329,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (one_one(nat) = iG714(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27844])).
% 58.13/9.55 tff(f27844,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG714(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG714(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f22048])).
% 58.13/9.55 tff(f22048,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG714(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG714(X1))),
% 58.13/9.55 inference(flattening,[],[f22047])).
% 58.13/9.55 tff(f22047,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG714(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG714(X1))),
% 58.13/9.55 inference(rectify,[],[f14792])).
% 58.13/9.55 tff(f85778,plain,(
% 58.13/9.55 one_one(nat) = iG871($true) | ~spl5880_1442),
% 58.13/9.55 inference(avatar_component_clause,[],[f85776])).
% 58.13/9.55 tff(f86163,plain,(
% 58.13/9.55 iG874($true) = iG871($true) | ~spl5880_1507),
% 58.13/9.55 inference(avatar_component_clause,[],[f86161])).
% 58.13/9.55 tff(f86339,plain,(
% 58.13/9.55 spl5880_1544 | ~spl5880_1440 | ~spl5880_1504),
% 58.13/9.55 inference(avatar_split_clause,[],[f86149,f86145,f85764,f86336])).
% 58.13/9.55 tff(f85764,plain,(
% 58.13/9.55 spl5880_1440 <=> zero_zero(nat) = iG891($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1440])])).
% 58.13/9.55 tff(f86145,plain,(
% 58.13/9.55 spl5880_1504 <=> iG894($true) = iG891($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1504])])).
% 58.13/9.55 tff(f86149,plain,(
% 58.13/9.55 iG894($true) = iG717($true) | (~spl5880_1440 | ~spl5880_1504)),
% 58.13/9.55 inference(forward_demodulation,[],[f86147,f85768])).
% 58.13/9.55 tff(f85768,plain,(
% 58.13/9.55 iG891($true) = iG717($true) | ~spl5880_1440),
% 58.13/9.55 inference(forward_demodulation,[],[f85766,f67467])).
% 58.13/9.55 tff(f67467,plain,(
% 58.13/9.55 zero_zero(nat) = iG717($true)),
% 58.13/9.55 inference(equality_resolution,[],[f48323])).
% 58.13/9.55 tff(f48323,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (zero_zero(nat) = iG717(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27843])).
% 58.13/9.55 tff(f27843,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG717(X0) | ($true = X0)) & ! [X1 : $o] : (zero_zero(nat) = iG717(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f22045])).
% 58.13/9.55 tff(f22045,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG717(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG717(X1))),
% 58.13/9.55 inference(flattening,[],[f22044])).
% 58.13/9.55 tff(f22044,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG717(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG717(X1))),
% 58.13/9.55 inference(rectify,[],[f14797])).
% 58.13/9.55 tff(f85766,plain,(
% 58.13/9.55 zero_zero(nat) = iG891($true) | ~spl5880_1440),
% 58.13/9.55 inference(avatar_component_clause,[],[f85764])).
% 58.13/9.55 tff(f86147,plain,(
% 58.13/9.55 iG894($true) = iG891($true) | ~spl5880_1504),
% 58.13/9.55 inference(avatar_component_clause,[],[f86145])).
% 58.13/9.55 tff(f86334,plain,(
% 58.13/9.55 spl5880_1543 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1503),
% 58.13/9.55 inference(avatar_split_clause,[],[f86143,f86139,f85764,f85758,f86332])).
% 58.13/9.55 tff(f86332,plain,(
% 58.13/9.55 spl5880_1543 <=> ! [X4 : $o] : iG934(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1543])])).
% 58.13/9.55 tff(f85758,plain,(
% 58.13/9.55 spl5880_1439 <=> zero_zero(nat) = iG894($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1439])])).
% 58.13/9.55 tff(f86139,plain,(
% 58.13/9.55 spl5880_1503 <=> ! [X4 : $o] : iG934(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1503])])).
% 58.13/9.55 tff(f86143,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG934(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1503)),
% 58.13/9.55 inference(forward_demodulation,[],[f86142,f85768])).
% 58.13/9.55 tff(f86142,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG934(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1503)),
% 58.13/9.55 inference(forward_demodulation,[],[f86140,f85762])).
% 58.13/9.55 tff(f85762,plain,(
% 58.13/9.55 iG894($true) = iG891($true) | ~spl5880_1439),
% 58.13/9.55 inference(forward_demodulation,[],[f85760,f67341])).
% 58.13/9.55 tff(f67341,plain,(
% 58.13/9.55 zero_zero(nat) = iG891($true)),
% 58.13/9.55 inference(equality_resolution,[],[f47967])).
% 58.13/9.55 tff(f47967,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (zero_zero(nat) = iG891(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27782])).
% 58.13/9.55 tff(f27782,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG891(X0) | ($true = X0)) & ! [X1 : $o] : (zero_zero(nat) = iG891(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f21818])).
% 58.13/9.55 tff(f21818,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG891(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG891(X1))),
% 58.13/9.55 inference(flattening,[],[f21817])).
% 58.13/9.55 tff(f21817,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG891(X0)) & ! [X1 : $o] : (($true = X1) => zero_zero(nat) = iG891(X1))),
% 58.13/9.55 inference(rectify,[],[f15489])).
% 58.13/9.55 tff(f85760,plain,(
% 58.13/9.55 zero_zero(nat) = iG894($true) | ~spl5880_1439),
% 58.13/9.55 inference(avatar_component_clause,[],[f85758])).
% 58.13/9.55 tff(f86140,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG934(iG894($true),X4,$true)) ) | ~spl5880_1503),
% 58.13/9.55 inference(avatar_component_clause,[],[f86139])).
% 58.13/9.55 tff(f86330,plain,(
% 58.13/9.55 spl5880_1542 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1502),
% 58.13/9.55 inference(avatar_split_clause,[],[f86137,f86133,f85764,f85758,f86328])).
% 58.13/9.55 tff(f86328,plain,(
% 58.13/9.55 spl5880_1542 <=> ! [X4 : $o] : iG946(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1542])])).
% 58.13/9.55 tff(f86133,plain,(
% 58.13/9.55 spl5880_1502 <=> ! [X4 : $o] : iG946(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1502])])).
% 58.13/9.55 tff(f86137,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG946(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1502)),
% 58.13/9.55 inference(forward_demodulation,[],[f86136,f85768])).
% 58.13/9.55 tff(f86136,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG946(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1502)),
% 58.13/9.55 inference(forward_demodulation,[],[f86134,f85762])).
% 58.13/9.55 tff(f86134,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG946(iG894($true),X4,$true)) ) | ~spl5880_1502),
% 58.13/9.55 inference(avatar_component_clause,[],[f86133])).
% 58.13/9.55 tff(f86326,plain,(
% 58.13/9.55 spl5880_1541 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1501),
% 58.13/9.55 inference(avatar_split_clause,[],[f86131,f86127,f85764,f85758,f86324])).
% 58.13/9.55 tff(f86324,plain,(
% 58.13/9.55 spl5880_1541 <=> ! [X4 : $o] : iG956(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1541])])).
% 58.13/9.55 tff(f86127,plain,(
% 58.13/9.55 spl5880_1501 <=> ! [X4 : $o] : iG956(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1501])])).
% 58.13/9.55 tff(f86131,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG956(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1501)),
% 58.13/9.55 inference(forward_demodulation,[],[f86130,f85768])).
% 58.13/9.55 tff(f86130,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG956(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1501)),
% 58.13/9.55 inference(forward_demodulation,[],[f86128,f85762])).
% 58.13/9.55 tff(f86128,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG956(iG894($true),X4,$true)) ) | ~spl5880_1501),
% 58.13/9.55 inference(avatar_component_clause,[],[f86127])).
% 58.13/9.55 tff(f86322,plain,(
% 58.13/9.55 spl5880_1540 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1500),
% 58.13/9.55 inference(avatar_split_clause,[],[f86125,f86121,f85764,f85758,f86320])).
% 58.13/9.55 tff(f86320,plain,(
% 58.13/9.55 spl5880_1540 <=> ! [X4 : $o] : iG968(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1540])])).
% 58.13/9.55 tff(f86121,plain,(
% 58.13/9.55 spl5880_1500 <=> ! [X4 : $o] : iG968(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1500])])).
% 58.13/9.55 tff(f86125,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG968(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1500)),
% 58.13/9.55 inference(forward_demodulation,[],[f86124,f85768])).
% 58.13/9.55 tff(f86124,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG968(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1500)),
% 58.13/9.55 inference(forward_demodulation,[],[f86122,f85762])).
% 58.13/9.55 tff(f86122,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG968(iG894($true),X4,$true)) ) | ~spl5880_1500),
% 58.13/9.55 inference(avatar_component_clause,[],[f86121])).
% 58.13/9.55 tff(f86318,plain,(
% 58.13/9.55 spl5880_1539 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1499),
% 58.13/9.55 inference(avatar_split_clause,[],[f86119,f86114,f85776,f85770,f86315])).
% 58.13/9.55 tff(f86315,plain,(
% 58.13/9.55 spl5880_1539 <=> iG1025($true) = iG714($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1539])])).
% 58.13/9.55 tff(f85770,plain,(
% 58.13/9.55 spl5880_1441 <=> one_one(nat) = iG874($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1441])])).
% 58.13/9.55 tff(f86114,plain,(
% 58.13/9.55 spl5880_1499 <=> iG1025($true) = iG874($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1499])])).
% 58.13/9.55 tff(f86119,plain,(
% 58.13/9.55 iG1025($true) = iG714($true) | (~spl5880_1441 | ~spl5880_1442 | ~spl5880_1499)),
% 58.13/9.55 inference(forward_demodulation,[],[f86118,f85780])).
% 58.13/9.55 tff(f86118,plain,(
% 58.13/9.55 iG1025($true) = iG871($true) | (~spl5880_1441 | ~spl5880_1499)),
% 58.13/9.55 inference(forward_demodulation,[],[f86116,f85774])).
% 58.13/9.55 tff(f85774,plain,(
% 58.13/9.55 iG874($true) = iG871($true) | ~spl5880_1441),
% 58.13/9.55 inference(forward_demodulation,[],[f85772,f67355])).
% 58.13/9.55 tff(f67355,plain,(
% 58.13/9.55 one_one(nat) = iG871($true)),
% 58.13/9.55 inference(equality_resolution,[],[f48003])).
% 58.13/9.55 tff(f48003,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (one_one(nat) = iG871(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27786])).
% 58.13/9.55 tff(f27786,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG871(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG871(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f21842])).
% 58.13/9.55 tff(f21842,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG871(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG871(X1))),
% 58.13/9.55 inference(flattening,[],[f21841])).
% 58.13/9.55 tff(f21841,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG871(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG871(X1))),
% 58.13/9.55 inference(rectify,[],[f15455])).
% 58.13/9.55 tff(f85772,plain,(
% 58.13/9.55 one_one(nat) = iG874($true) | ~spl5880_1441),
% 58.13/9.55 inference(avatar_component_clause,[],[f85770])).
% 58.13/9.55 tff(f86116,plain,(
% 58.13/9.55 iG1025($true) = iG874($true) | ~spl5880_1499),
% 58.13/9.55 inference(avatar_component_clause,[],[f86114])).
% 58.13/9.55 tff(f86313,plain,(
% 58.13/9.55 spl5880_1538 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1498),
% 58.13/9.55 inference(avatar_split_clause,[],[f86112,f86106,f85776,f85770,f85722,f86310])).
% 58.13/9.55 tff(f86310,plain,(
% 58.13/9.55 spl5880_1538 <=> iG1181($true) = iG714($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1538])])).
% 58.13/9.55 tff(f85722,plain,(
% 58.13/9.55 spl5880_1432 <=> one_one(nat) = iG1025($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1432])])).
% 58.13/9.55 tff(f86106,plain,(
% 58.13/9.55 spl5880_1498 <=> iG1181($true) = iG1025($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1498])])).
% 58.13/9.55 tff(f86112,plain,(
% 58.13/9.55 iG1181($true) = iG714($true) | (~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1498)),
% 58.13/9.55 inference(forward_demodulation,[],[f86111,f85780])).
% 58.13/9.55 tff(f86111,plain,(
% 58.13/9.55 iG1181($true) = iG871($true) | (~spl5880_1432 | ~spl5880_1441 | ~spl5880_1498)),
% 58.13/9.55 inference(forward_demodulation,[],[f86110,f85774])).
% 58.13/9.55 tff(f86110,plain,(
% 58.13/9.55 iG1181($true) = iG874($true) | (~spl5880_1432 | ~spl5880_1498)),
% 58.13/9.55 inference(forward_demodulation,[],[f86108,f85726])).
% 58.13/9.55 tff(f85726,plain,(
% 58.13/9.55 iG1025($true) = iG874($true) | ~spl5880_1432),
% 58.13/9.55 inference(forward_demodulation,[],[f85724,f67352])).
% 58.13/9.55 tff(f67352,plain,(
% 58.13/9.55 one_one(nat) = iG874($true)),
% 58.13/9.55 inference(equality_resolution,[],[f47997])).
% 58.13/9.55 tff(f47997,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (one_one(nat) = iG874(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27785])).
% 58.13/9.55 tff(f27785,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG874(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG874(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f21838])).
% 58.13/9.55 tff(f21838,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG874(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG874(X1))),
% 58.13/9.55 inference(flattening,[],[f21837])).
% 58.13/9.55 tff(f21837,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG874(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG874(X1))),
% 58.13/9.55 inference(rectify,[],[f15460])).
% 58.13/9.55 tff(f15460,plain,(
% 58.13/9.55 ! [X3 : $o] : (~($true = X3) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG874(X3)) & ! [X3 : $o] : (($true = X3) => one_one(nat) = iG874(X3))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG874])])).
% 58.13/9.55 tff(f85724,plain,(
% 58.13/9.55 one_one(nat) = iG1025($true) | ~spl5880_1432),
% 58.13/9.55 inference(avatar_component_clause,[],[f85722])).
% 58.13/9.55 tff(f86108,plain,(
% 58.13/9.55 iG1181($true) = iG1025($true) | ~spl5880_1498),
% 58.13/9.55 inference(avatar_component_clause,[],[f86106])).
% 58.13/9.55 tff(f86308,plain,(
% 58.13/9.55 spl5880_1537 | ~spl5880_182 | ~spl5880_793),
% 58.13/9.55 inference(avatar_split_clause,[],[f85157,f82340,f79353,f86305])).
% 58.13/9.55 tff(f86305,plain,(
% 58.13/9.55 spl5880_1537 <=> sP1910(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1537])])).
% 58.13/9.55 tff(f85157,plain,(
% 58.13/9.55 sP1910(code_integer) | (~spl5880_182 | ~spl5880_793)),
% 58.13/9.55 inference(resolution,[],[f82341,f79355])).
% 58.13/9.55 tff(f86303,plain,(
% 58.13/9.55 spl5880_1536 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1497),
% 58.13/9.55 inference(avatar_split_clause,[],[f86104,f86097,f85776,f85770,f85722,f85716,f86300])).
% 58.13/9.55 tff(f85716,plain,(
% 58.13/9.55 spl5880_1431 <=> one_one(nat) = iG1181($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1431])])).
% 58.13/9.55 tff(f86097,plain,(
% 58.13/9.55 spl5880_1497 <=> iG1228($true) = iG1181($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1497])])).
% 58.13/9.55 tff(f86104,plain,(
% 58.13/9.55 iG1228($true) = iG714($true) | (~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1497)),
% 58.13/9.55 inference(forward_demodulation,[],[f86103,f85780])).
% 58.13/9.55 tff(f86103,plain,(
% 58.13/9.55 iG1228($true) = iG871($true) | (~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1497)),
% 58.13/9.55 inference(forward_demodulation,[],[f86102,f85774])).
% 58.13/9.55 tff(f86102,plain,(
% 58.13/9.55 iG1228($true) = iG874($true) | (~spl5880_1431 | ~spl5880_1432 | ~spl5880_1497)),
% 58.13/9.55 inference(forward_demodulation,[],[f86101,f85726])).
% 58.13/9.55 tff(f86101,plain,(
% 58.13/9.55 iG1228($true) = iG1025($true) | (~spl5880_1431 | ~spl5880_1497)),
% 58.13/9.55 inference(forward_demodulation,[],[f86099,f85720])).
% 58.13/9.55 tff(f85720,plain,(
% 58.13/9.55 iG1181($true) = iG1025($true) | ~spl5880_1431),
% 58.13/9.55 inference(forward_demodulation,[],[f85718,f67225])).
% 58.13/9.55 tff(f67225,plain,(
% 58.13/9.55 one_one(nat) = iG1025($true)),
% 58.13/9.55 inference(equality_resolution,[],[f47663])).
% 58.13/9.55 tff(f47663,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (one_one(nat) = iG1025(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27715])).
% 58.13/9.55 tff(f27715,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1025(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG1025(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f21604])).
% 58.13/9.55 tff(f21604,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1025(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1025(X1))),
% 58.13/9.55 inference(flattening,[],[f21603])).
% 58.13/9.55 tff(f21603,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1025(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1025(X1))),
% 58.13/9.55 inference(rectify,[],[f17201])).
% 58.13/9.55 tff(f17201,plain,(
% 58.13/9.55 ! [X1 : $o] : (~($true = X1) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1025(X1)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1025(X1))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1025])])).
% 58.13/9.55 tff(f85718,plain,(
% 58.13/9.55 one_one(nat) = iG1181($true) | ~spl5880_1431),
% 58.13/9.55 inference(avatar_component_clause,[],[f85716])).
% 58.13/9.55 tff(f86099,plain,(
% 58.13/9.55 iG1228($true) = iG1181($true) | ~spl5880_1497),
% 58.13/9.55 inference(avatar_component_clause,[],[f86097])).
% 58.13/9.55 tff(f86298,plain,(
% 58.13/9.55 spl5880_1535 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1495),
% 58.13/9.55 inference(avatar_split_clause,[],[f86090,f86086,f85764,f85758,f86296])).
% 58.13/9.55 tff(f86296,plain,(
% 58.13/9.55 spl5880_1535 <=> ! [X4 : $o] : iG1478(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1535])])).
% 58.13/9.55 tff(f86086,plain,(
% 58.13/9.55 spl5880_1495 <=> ! [X4 : $o] : iG1478(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1495])])).
% 58.13/9.55 tff(f86090,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1478(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1495)),
% 58.13/9.55 inference(forward_demodulation,[],[f86089,f85768])).
% 58.13/9.55 tff(f86089,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1478(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1495)),
% 58.13/9.55 inference(forward_demodulation,[],[f86087,f85762])).
% 58.13/9.55 tff(f86087,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1478(iG894($true),X4,$true)) ) | ~spl5880_1495),
% 58.13/9.55 inference(avatar_component_clause,[],[f86086])).
% 58.13/9.55 tff(f86294,plain,(
% 58.13/9.55 spl5880_1534 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1494),
% 58.13/9.55 inference(avatar_split_clause,[],[f86084,f86080,f85764,f85758,f86292])).
% 58.13/9.55 tff(f86292,plain,(
% 58.13/9.55 spl5880_1534 <=> ! [X4 : $o] : iG1510(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1534])])).
% 58.13/9.55 tff(f86080,plain,(
% 58.13/9.55 spl5880_1494 <=> ! [X4 : $o] : iG1510(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1494])])).
% 58.13/9.55 tff(f86084,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1510(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1494)),
% 58.13/9.55 inference(forward_demodulation,[],[f86083,f85768])).
% 58.13/9.55 tff(f86083,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1510(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1494)),
% 58.13/9.55 inference(forward_demodulation,[],[f86081,f85762])).
% 58.13/9.55 tff(f86081,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1510(iG894($true),X4,$true)) ) | ~spl5880_1494),
% 58.13/9.55 inference(avatar_component_clause,[],[f86080])).
% 58.13/9.55 tff(f86290,plain,(
% 58.13/9.55 spl5880_1533 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1493),
% 58.13/9.55 inference(avatar_split_clause,[],[f86078,f86074,f85764,f85758,f86288])).
% 58.13/9.55 tff(f86288,plain,(
% 58.13/9.55 spl5880_1533 <=> ! [X4 : $o] : iG1538(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1533])])).
% 58.13/9.55 tff(f86074,plain,(
% 58.13/9.55 spl5880_1493 <=> ! [X4 : $o] : iG1538(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1493])])).
% 58.13/9.55 tff(f86078,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1538(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1493)),
% 58.13/9.55 inference(forward_demodulation,[],[f86077,f85768])).
% 58.13/9.55 tff(f86077,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1538(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1493)),
% 58.13/9.55 inference(forward_demodulation,[],[f86075,f85762])).
% 58.13/9.55 tff(f86075,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1538(iG894($true),X4,$true)) ) | ~spl5880_1493),
% 58.13/9.55 inference(avatar_component_clause,[],[f86074])).
% 58.13/9.55 tff(f86286,plain,(
% 58.13/9.55 spl5880_1532 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1489),
% 58.13/9.55 inference(avatar_split_clause,[],[f86055,f86051,f85764,f85758,f86284])).
% 58.13/9.55 tff(f86284,plain,(
% 58.13/9.55 spl5880_1532 <=> ! [X0 : fun(nat,$o),X1 : nat] : sP2402(X0,X1,iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1532])])).
% 58.13/9.55 tff(f86051,plain,(
% 58.13/9.55 spl5880_1489 <=> ! [X0 : fun(nat,$o),X1 : nat] : sP2402(X0,X1,iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1489])])).
% 58.13/9.55 tff(f86055,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,iG717($true))) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1489)),
% 58.13/9.55 inference(forward_demodulation,[],[f86054,f85768])).
% 58.13/9.55 tff(f86054,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,iG891($true))) ) | (~spl5880_1439 | ~spl5880_1489)),
% 58.13/9.55 inference(forward_demodulation,[],[f86052,f85762])).
% 58.13/9.55 tff(f86052,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,iG894($true))) ) | ~spl5880_1489),
% 58.13/9.55 inference(avatar_component_clause,[],[f86051])).
% 58.13/9.55 tff(f86282,plain,(
% 58.13/9.55 spl5880_1531 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1488),
% 58.13/9.55 inference(avatar_split_clause,[],[f86049,f86045,f85764,f85758,f86280])).
% 58.13/9.55 tff(f86280,plain,(
% 58.13/9.55 spl5880_1531 <=> ! [X0 : fun(nat,$o),X1 : nat] : sP2401(X0,X1,iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1531])])).
% 58.13/9.55 tff(f86045,plain,(
% 58.13/9.55 spl5880_1488 <=> ! [X0 : fun(nat,$o),X1 : nat] : sP2401(X0,X1,iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1488])])).
% 58.13/9.55 tff(f86049,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,iG717($true))) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1488)),
% 58.13/9.55 inference(forward_demodulation,[],[f86048,f85768])).
% 58.13/9.55 tff(f86048,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,iG891($true))) ) | (~spl5880_1439 | ~spl5880_1488)),
% 58.13/9.55 inference(forward_demodulation,[],[f86046,f85762])).
% 58.13/9.55 tff(f86046,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,iG894($true))) ) | ~spl5880_1488),
% 58.13/9.55 inference(avatar_component_clause,[],[f86045])).
% 58.13/9.55 tff(f86278,plain,(
% 58.13/9.55 spl5880_1530 | ~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1486),
% 58.13/9.55 inference(avatar_split_clause,[],[f86039,f86029,f85776,f85770,f85764,f85758,f85722,f85716,f85710,f86275])).
% 58.13/9.55 tff(f85710,plain,(
% 58.13/9.55 spl5880_1430 <=> one_one(nat) = iG1228($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1430])])).
% 58.13/9.55 tff(f86029,plain,(
% 58.13/9.55 spl5880_1486 <=> sP2116(iG894($true),iG1228($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1486])])).
% 58.13/9.55 tff(f86039,plain,(
% 58.13/9.55 sP2116(iG717($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86038,f85768])).
% 58.13/9.55 tff(f86038,plain,(
% 58.13/9.55 sP2116(iG891($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86037,f85762])).
% 58.13/9.55 tff(f86037,plain,(
% 58.13/9.55 sP2116(iG894($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86036,f85780])).
% 58.13/9.55 tff(f86036,plain,(
% 58.13/9.55 sP2116(iG894($true),iG871($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86035,f85774])).
% 58.13/9.55 tff(f86035,plain,(
% 58.13/9.55 sP2116(iG894($true),iG874($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86034,f85726])).
% 58.13/9.55 tff(f86034,plain,(
% 58.13/9.55 sP2116(iG894($true),iG1025($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86033,f85720])).
% 58.13/9.55 tff(f86033,plain,(
% 58.13/9.55 sP2116(iG894($true),iG1181($true)) | (~spl5880_1430 | ~spl5880_1486)),
% 58.13/9.55 inference(forward_demodulation,[],[f86031,f85714])).
% 58.13/9.55 tff(f85714,plain,(
% 58.13/9.55 iG1228($true) = iG1181($true) | ~spl5880_1430),
% 58.13/9.55 inference(forward_demodulation,[],[f85712,f67131])).
% 58.13/9.55 tff(f67131,plain,(
% 58.13/9.55 one_one(nat) = iG1181($true)),
% 58.13/9.55 inference(equality_resolution,[],[f47365])).
% 58.13/9.55 tff(f47365,plain,(
% 58.13/9.55 ( ! [X1 : $o] : (one_one(nat) = iG1181(X1) | ($true != X1)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f27648])).
% 58.13/9.55 tff(f27648,plain,(
% 58.13/9.55 ! [X0 : $o] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1181(X0) | ($true = X0)) & ! [X1 : $o] : (one_one(nat) = iG1181(X1) | ($true != X1))),
% 58.13/9.55 inference(ennf_transformation,[],[f21409])).
% 58.13/9.55 tff(f21409,plain,(
% 58.13/9.55 ! [X0 : $o] : (($true != X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1181(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1181(X1))),
% 58.13/9.55 inference(flattening,[],[f21408])).
% 58.13/9.55 tff(f21408,plain,(
% 58.13/9.55 ! [X0 : $o] : (~($true = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1181(X0)) & ! [X1 : $o] : (($true = X1) => one_one(nat) = iG1181(X1))),
% 58.13/9.55 inference(rectify,[],[f17523])).
% 58.13/9.55 tff(f17523,plain,(
% 58.13/9.55 ! [X8 : $o] : (~($true = X8) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat)) = iG1181(X8)) & ! [X8 : $o] : (($true = X8) => one_one(nat) = iG1181(X8))),
% 58.13/9.55 introduced(fool_ite_definition,[new_symbols(definition,[iG1181])])).
% 58.13/9.55 tff(f85712,plain,(
% 58.13/9.55 one_one(nat) = iG1228($true) | ~spl5880_1430),
% 58.13/9.55 inference(avatar_component_clause,[],[f85710])).
% 58.13/9.55 tff(f86031,plain,(
% 58.13/9.55 sP2116(iG894($true),iG1228($true)) | ~spl5880_1486),
% 58.13/9.55 inference(avatar_component_clause,[],[f86029])).
% 58.13/9.55 tff(f86273,plain,(
% 58.13/9.55 spl5880_1529 | ~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1485),
% 58.13/9.55 inference(avatar_split_clause,[],[f86027,f86017,f85776,f85770,f85764,f85758,f85722,f85716,f85710,f86270])).
% 58.13/9.55 tff(f86017,plain,(
% 58.13/9.55 spl5880_1485 <=> sP2116(iG1228($true),iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1485])])).
% 58.13/9.55 tff(f86027,plain,(
% 58.13/9.55 sP2116(iG714($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86026,f85780])).
% 58.13/9.55 tff(f86026,plain,(
% 58.13/9.55 sP2116(iG871($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86025,f85774])).
% 58.13/9.55 tff(f86025,plain,(
% 58.13/9.55 sP2116(iG874($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86024,f85726])).
% 58.13/9.55 tff(f86024,plain,(
% 58.13/9.55 sP2116(iG1025($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86023,f85720])).
% 58.13/9.55 tff(f86023,plain,(
% 58.13/9.55 sP2116(iG1181($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86022,f85714])).
% 58.13/9.55 tff(f86022,plain,(
% 58.13/9.55 sP2116(iG1228($true),iG717($true)) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86021,f85768])).
% 58.13/9.55 tff(f86021,plain,(
% 58.13/9.55 sP2116(iG1228($true),iG891($true)) | (~spl5880_1439 | ~spl5880_1485)),
% 58.13/9.55 inference(forward_demodulation,[],[f86019,f85762])).
% 58.13/9.55 tff(f86019,plain,(
% 58.13/9.55 sP2116(iG1228($true),iG894($true)) | ~spl5880_1485),
% 58.13/9.55 inference(avatar_component_clause,[],[f86017])).
% 58.13/9.55 tff(f86268,plain,(
% 58.13/9.55 spl5880_1528 | ~spl5880_186 | ~spl5880_792),
% 58.13/9.55 inference(avatar_split_clause,[],[f85156,f82336,f79373,f86265])).
% 58.13/9.55 tff(f86265,plain,(
% 58.13/9.55 spl5880_1528 <=> sP1908(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1528])])).
% 58.13/9.55 tff(f82336,plain,(
% 58.13/9.55 spl5880_792 <=> ! [X0 : $tType] : (sP1908(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_792])])).
% 58.13/9.55 tff(f85156,plain,(
% 58.13/9.55 sP1908(int) | (~spl5880_186 | ~spl5880_792)),
% 58.13/9.55 inference(resolution,[],[f82337,f79375])).
% 58.13/9.55 tff(f82337,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1908(X0)) ) | ~spl5880_792),
% 58.13/9.55 inference(avatar_component_clause,[],[f82336])).
% 58.13/9.55 tff(f86263,plain,(
% 58.13/9.55 spl5880_1527 | ~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1484),
% 58.13/9.55 inference(avatar_split_clause,[],[f86015,f86005,f85776,f85770,f85764,f85758,f85722,f85716,f85710,f86260])).
% 58.13/9.55 tff(f86005,plain,(
% 58.13/9.55 spl5880_1484 <=> sP2115(iG894($true),iG1228($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1484])])).
% 58.13/9.55 tff(f86015,plain,(
% 58.13/9.55 sP2115(iG717($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86014,f85768])).
% 58.13/9.55 tff(f86014,plain,(
% 58.13/9.55 sP2115(iG891($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86013,f85762])).
% 58.13/9.55 tff(f86013,plain,(
% 58.13/9.55 sP2115(iG894($true),iG714($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86012,f85780])).
% 58.13/9.55 tff(f86012,plain,(
% 58.13/9.55 sP2115(iG894($true),iG871($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86011,f85774])).
% 58.13/9.55 tff(f86011,plain,(
% 58.13/9.55 sP2115(iG894($true),iG874($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86010,f85726])).
% 58.13/9.55 tff(f86010,plain,(
% 58.13/9.55 sP2115(iG894($true),iG1025($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86009,f85720])).
% 58.13/9.55 tff(f86009,plain,(
% 58.13/9.55 sP2115(iG894($true),iG1181($true)) | (~spl5880_1430 | ~spl5880_1484)),
% 58.13/9.55 inference(forward_demodulation,[],[f86007,f85714])).
% 58.13/9.55 tff(f86007,plain,(
% 58.13/9.55 sP2115(iG894($true),iG1228($true)) | ~spl5880_1484),
% 58.13/9.55 inference(avatar_component_clause,[],[f86005])).
% 58.13/9.55 tff(f86258,plain,(
% 58.13/9.55 spl5880_1526 | ~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1483),
% 58.13/9.55 inference(avatar_split_clause,[],[f86003,f85993,f85776,f85770,f85764,f85758,f85722,f85716,f85710,f86255])).
% 58.13/9.55 tff(f85993,plain,(
% 58.13/9.55 spl5880_1483 <=> sP2115(iG1228($true),iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1483])])).
% 58.13/9.55 tff(f86003,plain,(
% 58.13/9.55 sP2115(iG714($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f86002,f85780])).
% 58.13/9.55 tff(f86002,plain,(
% 58.13/9.55 sP2115(iG871($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1441 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f86001,f85774])).
% 58.13/9.55 tff(f86001,plain,(
% 58.13/9.55 sP2115(iG874($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f86000,f85726])).
% 58.13/9.55 tff(f86000,plain,(
% 58.13/9.55 sP2115(iG1025($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f85999,f85720])).
% 58.13/9.55 tff(f85999,plain,(
% 58.13/9.55 sP2115(iG1181($true),iG717($true)) | (~spl5880_1430 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f85998,f85714])).
% 58.13/9.55 tff(f85998,plain,(
% 58.13/9.55 sP2115(iG1228($true),iG717($true)) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f85997,f85768])).
% 58.13/9.55 tff(f85997,plain,(
% 58.13/9.55 sP2115(iG1228($true),iG891($true)) | (~spl5880_1439 | ~spl5880_1483)),
% 58.13/9.55 inference(forward_demodulation,[],[f85995,f85762])).
% 58.13/9.55 tff(f85995,plain,(
% 58.13/9.55 sP2115(iG1228($true),iG894($true)) | ~spl5880_1483),
% 58.13/9.55 inference(avatar_component_clause,[],[f85993])).
% 58.13/9.55 tff(f86253,plain,(
% 58.13/9.55 spl5880_1525 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1482),
% 58.13/9.55 inference(avatar_split_clause,[],[f85991,f85987,f85764,f85758,f86251])).
% 58.13/9.55 tff(f86251,plain,(
% 58.13/9.55 spl5880_1525 <=> ! [X1 : $tType,X0 : X1] : sP1938(X1,X0,iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1525])])).
% 58.13/9.55 tff(f85987,plain,(
% 58.13/9.55 spl5880_1482 <=> ! [X1 : $tType,X0 : X1] : sP1938(X1,X0,iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1482])])).
% 58.13/9.55 tff(f85991,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (sP1938(X1,X0,iG717($true))) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1482)),
% 58.13/9.55 inference(forward_demodulation,[],[f85990,f85768])).
% 58.13/9.55 tff(f85990,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (sP1938(X1,X0,iG891($true))) ) | (~spl5880_1439 | ~spl5880_1482)),
% 58.13/9.55 inference(forward_demodulation,[],[f85988,f85762])).
% 58.13/9.55 tff(f85988,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (sP1938(X1,X0,iG894($true))) ) | ~spl5880_1482),
% 58.13/9.55 inference(avatar_component_clause,[],[f85987])).
% 58.13/9.55 tff(f86249,plain,(
% 58.13/9.55 spl5880_1524 | ~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1481),
% 58.13/9.55 inference(avatar_split_clause,[],[f85985,f85978,f85776,f85770,f85722,f85716,f85710,f86247])).
% 58.13/9.55 tff(f85978,plain,(
% 58.13/9.55 spl5880_1481 <=> ! [X0 : nat] : dvd_dvd(nat,iG1228($true),X0)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1481])])).
% 58.13/9.55 tff(f85985,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG714($true),X0)) ) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1442 | ~spl5880_1481)),
% 58.13/9.55 inference(forward_demodulation,[],[f85984,f85780])).
% 58.13/9.55 tff(f85984,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG871($true),X0)) ) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1441 | ~spl5880_1481)),
% 58.13/9.55 inference(forward_demodulation,[],[f85983,f85774])).
% 58.13/9.55 tff(f85983,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG874($true),X0)) ) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1432 | ~spl5880_1481)),
% 58.13/9.55 inference(forward_demodulation,[],[f85982,f85726])).
% 58.13/9.55 tff(f85982,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG1025($true),X0)) ) | (~spl5880_1430 | ~spl5880_1431 | ~spl5880_1481)),
% 58.13/9.55 inference(forward_demodulation,[],[f85981,f85720])).
% 58.13/9.55 tff(f85981,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG1181($true),X0)) ) | (~spl5880_1430 | ~spl5880_1481)),
% 58.13/9.55 inference(forward_demodulation,[],[f85979,f85714])).
% 58.13/9.55 tff(f85979,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG1228($true),X0)) ) | ~spl5880_1481),
% 58.13/9.55 inference(avatar_component_clause,[],[f85978])).
% 58.13/9.55 tff(f86245,plain,(
% 58.13/9.55 spl5880_1523 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1478),
% 58.13/9.55 inference(avatar_split_clause,[],[f85966,f85961,f85764,f85758,f86242])).
% 58.13/9.55 tff(f86242,plain,(
% 58.13/9.55 spl5880_1523 <=> bot_bot(nat) = iG717($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1523])])).
% 58.13/9.55 tff(f85961,plain,(
% 58.13/9.55 spl5880_1478 <=> bot_bot(nat) = iG894($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1478])])).
% 58.13/9.55 tff(f85966,plain,(
% 58.13/9.55 bot_bot(nat) = iG717($true) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1478)),
% 58.13/9.55 inference(forward_demodulation,[],[f85965,f85768])).
% 58.13/9.55 tff(f85965,plain,(
% 58.13/9.55 bot_bot(nat) = iG891($true) | (~spl5880_1439 | ~spl5880_1478)),
% 58.13/9.55 inference(forward_demodulation,[],[f85963,f85762])).
% 58.13/9.55 tff(f85963,plain,(
% 58.13/9.55 bot_bot(nat) = iG894($true) | ~spl5880_1478),
% 58.13/9.55 inference(avatar_component_clause,[],[f85961])).
% 58.13/9.55 tff(f86240,plain,(
% 58.13/9.55 spl5880_1522 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1477),
% 58.13/9.55 inference(avatar_split_clause,[],[f85959,f85954,f85764,f85758,f86237])).
% 58.13/9.55 tff(f86237,plain,(
% 58.13/9.55 spl5880_1522 <=> iG717($true) = lG1553(one2)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1522])])).
% 58.13/9.55 tff(f85954,plain,(
% 58.13/9.55 spl5880_1477 <=> iG894($true) = lG1553(one2)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1477])])).
% 58.13/9.55 tff(f85959,plain,(
% 58.13/9.55 iG717($true) = lG1553(one2) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1477)),
% 58.13/9.55 inference(forward_demodulation,[],[f85958,f85768])).
% 58.13/9.55 tff(f85958,plain,(
% 58.13/9.55 iG891($true) = lG1553(one2) | (~spl5880_1439 | ~spl5880_1477)),
% 58.13/9.55 inference(forward_demodulation,[],[f85956,f85762])).
% 58.13/9.55 tff(f85956,plain,(
% 58.13/9.55 iG894($true) = lG1553(one2) | ~spl5880_1477),
% 58.13/9.55 inference(avatar_component_clause,[],[f85954])).
% 58.13/9.55 tff(f86235,plain,(
% 58.13/9.55 spl5880_1521 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1476),
% 58.13/9.55 inference(avatar_split_clause,[],[f85952,f85947,f85764,f85758,f86232])).
% 58.13/9.55 tff(f86232,plain,(
% 58.13/9.55 spl5880_1521 <=> size_num(one2) = iG717($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1521])])).
% 58.13/9.55 tff(f85947,plain,(
% 58.13/9.55 spl5880_1476 <=> size_num(one2) = iG894($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1476])])).
% 58.13/9.55 tff(f85952,plain,(
% 58.13/9.55 size_num(one2) = iG717($true) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1476)),
% 58.13/9.55 inference(forward_demodulation,[],[f85951,f85768])).
% 58.13/9.55 tff(f85951,plain,(
% 58.13/9.55 size_num(one2) = iG891($true) | (~spl5880_1439 | ~spl5880_1476)),
% 58.13/9.55 inference(forward_demodulation,[],[f85949,f85762])).
% 58.13/9.55 tff(f85949,plain,(
% 58.13/9.55 size_num(one2) = iG894($true) | ~spl5880_1476),
% 58.13/9.55 inference(avatar_component_clause,[],[f85947])).
% 58.13/9.55 tff(f86230,plain,(
% 58.13/9.55 spl5880_1520 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1475),
% 58.13/9.55 inference(avatar_split_clause,[],[f85945,f85940,f85764,f85758,f86227])).
% 58.13/9.55 tff(f86227,plain,(
% 58.13/9.55 spl5880_1520 <=> one2 = num_of_nat(iG717($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1520])])).
% 58.13/9.55 tff(f85940,plain,(
% 58.13/9.55 spl5880_1475 <=> one2 = num_of_nat(iG894($true))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1475])])).
% 58.13/9.55 tff(f85945,plain,(
% 58.13/9.55 one2 = num_of_nat(iG717($true)) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1475)),
% 58.13/9.55 inference(forward_demodulation,[],[f85944,f85768])).
% 58.13/9.55 tff(f85944,plain,(
% 58.13/9.55 one2 = num_of_nat(iG891($true)) | (~spl5880_1439 | ~spl5880_1475)),
% 58.13/9.55 inference(forward_demodulation,[],[f85942,f85762])).
% 58.13/9.55 tff(f85942,plain,(
% 58.13/9.55 one2 = num_of_nat(iG894($true)) | ~spl5880_1475),
% 58.13/9.55 inference(avatar_component_clause,[],[f85940])).
% 58.13/9.55 tff(f86225,plain,(
% 58.13/9.55 spl5880_1519 | ~spl5880_183 | ~spl5880_792),
% 58.13/9.55 inference(avatar_split_clause,[],[f85155,f82336,f79358,f86222])).
% 58.13/9.55 tff(f86222,plain,(
% 58.13/9.55 spl5880_1519 <=> sP1908(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1519])])).
% 58.13/9.55 tff(f85155,plain,(
% 58.13/9.55 sP1908(rat) | (~spl5880_183 | ~spl5880_792)),
% 58.13/9.55 inference(resolution,[],[f82337,f79360])).
% 58.13/9.55 tff(f86220,plain,(
% 58.13/9.55 spl5880_1518 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1473),
% 58.13/9.55 inference(avatar_split_clause,[],[f85933,f85928,f85764,f85758,f86217])).
% 58.13/9.55 tff(f86217,plain,(
% 58.13/9.55 spl5880_1518 <=> ($true = bG330(iG717($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1518])])).
% 58.13/9.55 tff(f85928,plain,(
% 58.13/9.55 spl5880_1473 <=> ($true = bG330(iG894($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1473])])).
% 58.13/9.55 tff(f85933,plain,(
% 58.13/9.55 ($true = bG330(iG717($true))) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1473)),
% 58.13/9.55 inference(forward_demodulation,[],[f85932,f85768])).
% 58.13/9.55 tff(f85932,plain,(
% 58.13/9.55 ($true = bG330(iG891($true))) | (~spl5880_1439 | ~spl5880_1473)),
% 58.13/9.55 inference(forward_demodulation,[],[f85930,f85762])).
% 58.13/9.55 tff(f85930,plain,(
% 58.13/9.55 ($true = bG330(iG894($true))) | ~spl5880_1473),
% 58.13/9.55 inference(avatar_component_clause,[],[f85928])).
% 58.13/9.55 tff(f86215,plain,(
% 58.13/9.55 spl5880_1517 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1472),
% 58.13/9.55 inference(avatar_split_clause,[],[f85926,f85921,f85764,f85758,f86212])).
% 58.13/9.55 tff(f86212,plain,(
% 58.13/9.55 spl5880_1517 <=> ($true = bG404(iG717($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1517])])).
% 58.13/9.55 tff(f85921,plain,(
% 58.13/9.55 spl5880_1472 <=> ($true = bG404(iG894($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1472])])).
% 58.13/9.55 tff(f85926,plain,(
% 58.13/9.55 ($true = bG404(iG717($true))) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1472)),
% 58.13/9.55 inference(forward_demodulation,[],[f85925,f85768])).
% 58.13/9.55 tff(f85925,plain,(
% 58.13/9.55 ($true = bG404(iG891($true))) | (~spl5880_1439 | ~spl5880_1472)),
% 58.13/9.55 inference(forward_demodulation,[],[f85923,f85762])).
% 58.13/9.55 tff(f85923,plain,(
% 58.13/9.55 ($true = bG404(iG894($true))) | ~spl5880_1472),
% 58.13/9.55 inference(avatar_component_clause,[],[f85921])).
% 58.13/9.55 tff(f86210,plain,(
% 58.13/9.55 spl5880_1516 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1471),
% 58.13/9.55 inference(avatar_split_clause,[],[f85919,f85914,f85764,f85758,f86207])).
% 58.13/9.55 tff(f86207,plain,(
% 58.13/9.55 spl5880_1516 <=> ($true = bG409(iG717($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1516])])).
% 58.13/9.55 tff(f85914,plain,(
% 58.13/9.55 spl5880_1471 <=> ($true = bG409(iG894($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1471])])).
% 58.13/9.55 tff(f85919,plain,(
% 58.13/9.55 ($true = bG409(iG717($true))) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1471)),
% 58.13/9.55 inference(forward_demodulation,[],[f85918,f85768])).
% 58.13/9.55 tff(f85918,plain,(
% 58.13/9.55 ($true = bG409(iG891($true))) | (~spl5880_1439 | ~spl5880_1471)),
% 58.13/9.55 inference(forward_demodulation,[],[f85916,f85762])).
% 58.13/9.55 tff(f85916,plain,(
% 58.13/9.55 ($true = bG409(iG894($true))) | ~spl5880_1471),
% 58.13/9.55 inference(avatar_component_clause,[],[f85914])).
% 58.13/9.55 tff(f86205,plain,(
% 58.13/9.55 spl5880_1515 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1470),
% 58.13/9.55 inference(avatar_split_clause,[],[f85912,f85907,f85764,f85758,f86202])).
% 58.13/9.55 tff(f85907,plain,(
% 58.13/9.55 spl5880_1470 <=> ($true = bG450(iG894($true)))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1470])])).
% 58.13/9.55 tff(f85912,plain,(
% 58.13/9.55 ($true = bG450(iG717($true))) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1470)),
% 58.13/9.55 inference(forward_demodulation,[],[f85911,f85768])).
% 58.13/9.55 tff(f85911,plain,(
% 58.13/9.55 ($true = bG450(iG891($true))) | (~spl5880_1439 | ~spl5880_1470)),
% 58.13/9.55 inference(forward_demodulation,[],[f85909,f85762])).
% 58.13/9.55 tff(f85909,plain,(
% 58.13/9.55 ($true = bG450(iG894($true))) | ~spl5880_1470),
% 58.13/9.55 inference(avatar_component_clause,[],[f85907])).
% 58.13/9.55 tff(f86200,plain,(
% 58.13/9.55 spl5880_1514 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1469),
% 58.13/9.55 inference(avatar_split_clause,[],[f85905,f85901,f85764,f85758,f86198])).
% 58.13/9.55 tff(f86198,plain,(
% 58.13/9.55 spl5880_1514 <=> ! [X4 : $o] : iG803(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1514])])).
% 58.13/9.55 tff(f85901,plain,(
% 58.13/9.55 spl5880_1469 <=> ! [X4 : $o] : iG803(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1469])])).
% 58.13/9.55 tff(f85905,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG803(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1469)),
% 58.13/9.55 inference(forward_demodulation,[],[f85904,f85768])).
% 58.13/9.55 tff(f85904,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG803(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1469)),
% 58.13/9.55 inference(forward_demodulation,[],[f85902,f85762])).
% 58.13/9.55 tff(f85902,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG803(iG894($true),X4,$true)) ) | ~spl5880_1469),
% 58.13/9.55 inference(avatar_component_clause,[],[f85901])).
% 58.13/9.55 tff(f86196,plain,(
% 58.13/9.55 spl5880_1513 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1467),
% 58.13/9.55 inference(avatar_split_clause,[],[f85894,f85890,f85764,f85758,f86194])).
% 58.13/9.55 tff(f86194,plain,(
% 58.13/9.55 spl5880_1513 <=> ! [X4 : $o] : iG811(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1513])])).
% 58.13/9.55 tff(f85890,plain,(
% 58.13/9.55 spl5880_1467 <=> ! [X4 : $o] : iG811(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1467])])).
% 58.13/9.55 tff(f85894,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG811(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1467)),
% 58.13/9.55 inference(forward_demodulation,[],[f85893,f85768])).
% 58.13/9.55 tff(f85893,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG811(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1467)),
% 58.13/9.55 inference(forward_demodulation,[],[f85891,f85762])).
% 58.13/9.55 tff(f85891,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG811(iG894($true),X4,$true)) ) | ~spl5880_1467),
% 58.13/9.55 inference(avatar_component_clause,[],[f85890])).
% 58.13/9.55 tff(f86192,plain,(
% 58.13/9.55 spl5880_1512 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1466),
% 58.13/9.55 inference(avatar_split_clause,[],[f85888,f85884,f85764,f85758,f86190])).
% 58.13/9.55 tff(f86190,plain,(
% 58.13/9.55 spl5880_1512 <=> ! [X4 : $o] : iG843(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1512])])).
% 58.13/9.55 tff(f85884,plain,(
% 58.13/9.55 spl5880_1466 <=> ! [X4 : $o] : iG843(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1466])])).
% 58.13/9.55 tff(f85888,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG843(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1466)),
% 58.13/9.55 inference(forward_demodulation,[],[f85887,f85768])).
% 58.13/9.55 tff(f85887,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG843(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1466)),
% 58.13/9.55 inference(forward_demodulation,[],[f85885,f85762])).
% 58.13/9.55 tff(f85885,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG843(iG894($true),X4,$true)) ) | ~spl5880_1466),
% 58.13/9.55 inference(avatar_component_clause,[],[f85884])).
% 58.13/9.55 tff(f86188,plain,(
% 58.13/9.55 spl5880_1511 | ~spl5880_1439 | ~spl5880_1440 | ~spl5880_1465),
% 58.13/9.55 inference(avatar_split_clause,[],[f85882,f85878,f85764,f85758,f86186])).
% 58.13/9.55 tff(f86186,plain,(
% 58.13/9.55 spl5880_1511 <=> ! [X4 : $o] : iG851(iG717($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1511])])).
% 58.13/9.55 tff(f85878,plain,(
% 58.13/9.55 spl5880_1465 <=> ! [X4 : $o] : iG851(iG894($true),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1465])])).
% 58.13/9.55 tff(f85882,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG851(iG717($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1440 | ~spl5880_1465)),
% 58.13/9.55 inference(forward_demodulation,[],[f85881,f85768])).
% 58.13/9.55 tff(f85881,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG851(iG891($true),X4,$true)) ) | (~spl5880_1439 | ~spl5880_1465)),
% 58.13/9.55 inference(forward_demodulation,[],[f85879,f85762])).
% 58.13/9.55 tff(f85879,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG851(iG894($true),X4,$true)) ) | ~spl5880_1465),
% 58.13/9.55 inference(avatar_component_clause,[],[f85878])).
% 58.13/9.55 tff(f86184,plain,(
% 58.13/9.55 spl5880_1510 | ~spl5880_187 | ~spl5880_792),
% 58.13/9.55 inference(avatar_split_clause,[],[f85154,f82336,f79378,f86181])).
% 58.13/9.55 tff(f86181,plain,(
% 58.13/9.55 spl5880_1510 <=> sP1908(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1510])])).
% 58.13/9.55 tff(f85154,plain,(
% 58.13/9.55 sP1908(real) | (~spl5880_187 | ~spl5880_792)),
% 58.13/9.55 inference(resolution,[],[f82337,f79380])).
% 58.13/9.55 tff(f86175,plain,(
% 58.13/9.55 spl5880_1509 | ~spl5880_182 | ~spl5880_792),
% 58.13/9.55 inference(avatar_split_clause,[],[f85153,f82336,f79353,f86172])).
% 58.13/9.55 tff(f86172,plain,(
% 58.13/9.55 spl5880_1509 <=> sP1908(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1509])])).
% 58.13/9.55 tff(f85153,plain,(
% 58.13/9.55 sP1908(code_integer) | (~spl5880_182 | ~spl5880_792)),
% 58.13/9.55 inference(resolution,[],[f82337,f79355])).
% 58.13/9.55 tff(f86170,plain,(
% 58.13/9.55 spl5880_1508 | ~spl5880_1442),
% 58.13/9.55 inference(avatar_split_clause,[],[f85780,f85776,f86167])).
% 58.13/9.55 tff(f86167,plain,(
% 58.13/9.55 spl5880_1508 <=> iG871($true) = iG714($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1508])])).
% 58.13/9.55 tff(f86164,plain,(
% 58.13/9.55 spl5880_1507 | ~spl5880_1441),
% 58.13/9.55 inference(avatar_split_clause,[],[f85774,f85770,f86161])).
% 58.13/9.55 tff(f86159,plain,(
% 58.13/9.55 spl5880_1506 | ~spl5880_186 | ~spl5880_791),
% 58.13/9.55 inference(avatar_split_clause,[],[f85152,f82332,f79373,f86156])).
% 58.13/9.55 tff(f86156,plain,(
% 58.13/9.55 spl5880_1506 <=> sP1906(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1506])])).
% 58.13/9.55 tff(f82332,plain,(
% 58.13/9.55 spl5880_791 <=> ! [X0 : $tType] : (sP1906(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_791])])).
% 58.13/9.55 tff(f85152,plain,(
% 58.13/9.55 sP1906(int) | (~spl5880_186 | ~spl5880_791)),
% 58.13/9.55 inference(resolution,[],[f82333,f79375])).
% 58.13/9.55 tff(f82333,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1906(X0)) ) | ~spl5880_791),
% 58.13/9.55 inference(avatar_component_clause,[],[f82332])).
% 58.13/9.55 tff(f86154,plain,(
% 58.13/9.55 spl5880_1505 | ~spl5880_1440),
% 58.13/9.55 inference(avatar_split_clause,[],[f85768,f85764,f86151])).
% 58.13/9.55 tff(f86151,plain,(
% 58.13/9.55 spl5880_1505 <=> iG891($true) = iG717($true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1505])])).
% 58.13/9.55 tff(f86148,plain,(
% 58.13/9.55 spl5880_1504 | ~spl5880_1439),
% 58.13/9.55 inference(avatar_split_clause,[],[f85762,f85758,f86145])).
% 58.13/9.55 tff(f86141,plain,(
% 58.13/9.55 spl5880_1503 | ~spl5880_1438),
% 58.13/9.55 inference(avatar_split_clause,[],[f85756,f85753,f86139])).
% 58.13/9.55 tff(f85753,plain,(
% 58.13/9.55 spl5880_1438 <=> ! [X4 : $o] : iG934(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1438])])).
% 58.13/9.55 tff(f85756,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG934(iG894($true),X4,$true)) ) | ~spl5880_1438),
% 58.13/9.55 inference(forward_demodulation,[],[f85754,f67338])).
% 58.13/9.55 tff(f85754,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG934(zero_zero(nat),X4,$true)) ) | ~spl5880_1438),
% 58.13/9.55 inference(avatar_component_clause,[],[f85753])).
% 58.13/9.55 tff(f86135,plain,(
% 58.13/9.55 spl5880_1502 | ~spl5880_1437),
% 58.13/9.55 inference(avatar_split_clause,[],[f85751,f85748,f86133])).
% 58.13/9.55 tff(f85748,plain,(
% 58.13/9.55 spl5880_1437 <=> ! [X4 : $o] : iG946(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1437])])).
% 58.13/9.55 tff(f85751,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG946(iG894($true),X4,$true)) ) | ~spl5880_1437),
% 58.13/9.55 inference(forward_demodulation,[],[f85749,f67338])).
% 58.13/9.55 tff(f85749,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG946(zero_zero(nat),X4,$true)) ) | ~spl5880_1437),
% 58.13/9.55 inference(avatar_component_clause,[],[f85748])).
% 58.13/9.55 tff(f86129,plain,(
% 58.13/9.55 spl5880_1501 | ~spl5880_1436),
% 58.13/9.55 inference(avatar_split_clause,[],[f85746,f85743,f86127])).
% 58.13/9.55 tff(f85743,plain,(
% 58.13/9.55 spl5880_1436 <=> ! [X4 : $o] : iG956(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1436])])).
% 58.13/9.55 tff(f85746,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG956(iG894($true),X4,$true)) ) | ~spl5880_1436),
% 58.13/9.55 inference(forward_demodulation,[],[f85744,f67338])).
% 58.13/9.55 tff(f85744,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG956(zero_zero(nat),X4,$true)) ) | ~spl5880_1436),
% 58.13/9.55 inference(avatar_component_clause,[],[f85743])).
% 58.13/9.55 tff(f86123,plain,(
% 58.13/9.55 spl5880_1500 | ~spl5880_1434),
% 58.13/9.55 inference(avatar_split_clause,[],[f85736,f85733,f86121])).
% 58.13/9.55 tff(f85733,plain,(
% 58.13/9.55 spl5880_1434 <=> ! [X4 : $o] : iG968(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1434])])).
% 58.13/9.55 tff(f85736,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG968(iG894($true),X4,$true)) ) | ~spl5880_1434),
% 58.13/9.55 inference(forward_demodulation,[],[f85734,f67338])).
% 58.13/9.55 tff(f85734,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG968(zero_zero(nat),X4,$true)) ) | ~spl5880_1434),
% 58.13/9.55 inference(avatar_component_clause,[],[f85733])).
% 58.13/9.55 tff(f86117,plain,(
% 58.13/9.55 spl5880_1499 | ~spl5880_1432),
% 58.13/9.55 inference(avatar_split_clause,[],[f85726,f85722,f86114])).
% 58.13/9.55 tff(f86109,plain,(
% 58.13/9.55 spl5880_1498 | ~spl5880_1431),
% 58.13/9.55 inference(avatar_split_clause,[],[f85720,f85716,f86106])).
% 58.13/9.55 tff(f86100,plain,(
% 58.13/9.55 spl5880_1497 | ~spl5880_1430),
% 58.13/9.55 inference(avatar_split_clause,[],[f85714,f85710,f86097])).
% 58.13/9.55 tff(f86095,plain,(
% 58.13/9.55 spl5880_1496 | ~spl5880_183 | ~spl5880_791),
% 58.13/9.55 inference(avatar_split_clause,[],[f85151,f82332,f79358,f86092])).
% 58.13/9.55 tff(f86092,plain,(
% 58.13/9.55 spl5880_1496 <=> sP1906(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1496])])).
% 58.13/9.55 tff(f85151,plain,(
% 58.13/9.55 sP1906(rat) | (~spl5880_183 | ~spl5880_791)),
% 58.13/9.55 inference(resolution,[],[f82333,f79360])).
% 58.13/9.55 tff(f86088,plain,(
% 58.13/9.55 spl5880_1495 | ~spl5880_1429),
% 58.13/9.55 inference(avatar_split_clause,[],[f85708,f85705,f86086])).
% 58.13/9.55 tff(f85705,plain,(
% 58.13/9.55 spl5880_1429 <=> ! [X4 : $o] : iG1478(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1429])])).
% 58.13/9.55 tff(f85708,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1478(iG894($true),X4,$true)) ) | ~spl5880_1429),
% 58.13/9.55 inference(forward_demodulation,[],[f85706,f67338])).
% 58.13/9.55 tff(f85706,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1478(zero_zero(nat),X4,$true)) ) | ~spl5880_1429),
% 58.13/9.55 inference(avatar_component_clause,[],[f85705])).
% 58.13/9.55 tff(f86082,plain,(
% 58.13/9.55 spl5880_1494 | ~spl5880_1428),
% 58.13/9.55 inference(avatar_split_clause,[],[f85703,f85700,f86080])).
% 58.13/9.55 tff(f85700,plain,(
% 58.13/9.55 spl5880_1428 <=> ! [X4 : $o] : iG1510(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1428])])).
% 58.13/9.55 tff(f85703,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1510(iG894($true),X4,$true)) ) | ~spl5880_1428),
% 58.13/9.55 inference(forward_demodulation,[],[f85701,f67338])).
% 58.13/9.55 tff(f85701,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1510(zero_zero(nat),X4,$true)) ) | ~spl5880_1428),
% 58.13/9.55 inference(avatar_component_clause,[],[f85700])).
% 58.13/9.55 tff(f86076,plain,(
% 58.13/9.55 spl5880_1493 | ~spl5880_1427),
% 58.13/9.55 inference(avatar_split_clause,[],[f85698,f85695,f86074])).
% 58.13/9.55 tff(f85695,plain,(
% 58.13/9.55 spl5880_1427 <=> ! [X4 : $o] : iG1538(zero_zero(nat),X4,$true)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1427])])).
% 58.13/9.55 tff(f85698,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1538(iG894($true),X4,$true)) ) | ~spl5880_1427),
% 58.13/9.55 inference(forward_demodulation,[],[f85696,f67338])).
% 58.13/9.55 tff(f85696,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG1538(zero_zero(nat),X4,$true)) ) | ~spl5880_1427),
% 58.13/9.55 inference(avatar_component_clause,[],[f85695])).
% 58.13/9.55 tff(f86070,plain,(
% 58.13/9.55 spl5880_1492 | ~spl5880_187 | ~spl5880_791),
% 58.13/9.55 inference(avatar_split_clause,[],[f85150,f82332,f79378,f86067])).
% 58.13/9.55 tff(f86067,plain,(
% 58.13/9.55 spl5880_1492 <=> sP1906(real)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1492])])).
% 58.13/9.55 tff(f85150,plain,(
% 58.13/9.55 sP1906(real) | (~spl5880_187 | ~spl5880_791)),
% 58.13/9.55 inference(resolution,[],[f82333,f79380])).
% 58.13/9.55 tff(f86065,plain,(
% 58.13/9.55 ~spl5880_1491 | spl5880_1406),
% 58.13/9.55 inference(avatar_split_clause,[],[f85599,f85595,f86062])).
% 58.13/9.55 tff(f86062,plain,(
% 58.13/9.55 spl5880_1491 <=> one_one(extended_enat) = bot_bot(extended_enat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1491])])).
% 58.13/9.55 tff(f85595,plain,(
% 58.13/9.55 spl5880_1406 <=> zero_zero(extended_enat) = one_one(extended_enat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1406])])).
% 58.13/9.55 tff(f85599,plain,(
% 58.13/9.55 one_one(extended_enat) != bot_bot(extended_enat) | spl5880_1406),
% 58.13/9.55 inference(forward_demodulation,[],[f85597,f50006])).
% 58.13/9.55 tff(f85597,plain,(
% 58.13/9.55 zero_zero(extended_enat) != one_one(extended_enat) | spl5880_1406),
% 58.13/9.55 inference(avatar_component_clause,[],[f85595])).
% 58.13/9.55 tff(f86060,plain,(
% 58.13/9.55 spl5880_1490 | ~spl5880_182 | ~spl5880_791),
% 58.13/9.55 inference(avatar_split_clause,[],[f85149,f82332,f79353,f86057])).
% 58.13/9.55 tff(f86057,plain,(
% 58.13/9.55 spl5880_1490 <=> sP1906(code_integer)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1490])])).
% 58.13/9.55 tff(f85149,plain,(
% 58.13/9.55 sP1906(code_integer) | (~spl5880_182 | ~spl5880_791)),
% 58.13/9.55 inference(resolution,[],[f82333,f79355])).
% 58.13/9.55 tff(f86053,plain,(
% 58.13/9.55 spl5880_1489),
% 58.13/9.55 inference(avatar_split_clause,[],[f76580,f86051])).
% 58.13/9.55 tff(f76580,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,iG894($true))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f68753,f67338])).
% 58.13/9.55 tff(f68753,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,zero_zero(nat))) )),
% 58.13/9.55 inference(equality_resolution,[],[f62345])).
% 58.13/9.55 tff(f62345,plain,(
% 58.13/9.55 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2402(X0,X1,X2) | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f44624])).
% 58.13/9.55 tff(f86047,plain,(
% 58.13/9.55 spl5880_1488),
% 58.13/9.55 inference(avatar_split_clause,[],[f76572,f86045])).
% 58.13/9.55 tff(f76572,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,iG894($true))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f68750,f67338])).
% 58.13/9.55 tff(f68750,plain,(
% 58.13/9.55 ( ! [X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,zero_zero(nat))) )),
% 58.13/9.55 inference(equality_resolution,[],[f62336])).
% 58.13/9.55 tff(f62336,plain,(
% 58.13/9.55 ( ! [X2 : nat,X0 : fun(nat,$o),X1 : nat] : (sP2401(X0,X1,X2) | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f44617])).
% 58.13/9.55 tff(f86043,plain,(
% 58.13/9.55 spl5880_1487),
% 58.13/9.55 inference(avatar_split_clause,[],[f76522,f86041])).
% 58.13/9.55 tff(f76522,plain,(
% 58.13/9.55 ( ! [X0 : int] : (dvd_dvd(int,X0,zero_zero(int))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f76521,f50327])).
% 58.13/9.55 tff(f76521,plain,(
% 58.13/9.55 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),zero_zero(int)))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f68718,f67701])).
% 58.13/9.55 tff(f68718,plain,(
% 58.13/9.55 ( ! [X0 : int,X1 : int] : (dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),zero_zero(int))))) )),
% 58.13/9.55 inference(equality_resolution,[],[f62210])).
% 58.13/9.55 tff(f62210,plain,(
% 58.13/9.55 ( ! [X2 : int,X0 : int,X1 : int] : (dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))) | zero_zero(int) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f44511])).
% 58.13/9.55 tff(f44511,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : int] : ((dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))) | (zero_zero(int) != X2 & ~dvd_dvd(int,X0,X1))) & (zero_zero(int) = X2 | dvd_dvd(int,X0,X1) | ~dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))))),
% 58.13/9.55 inference(flattening,[],[f44510])).
% 58.13/9.55 tff(f44510,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : int] : ((dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))) | (zero_zero(int) != X2 & ~dvd_dvd(int,X0,X1))) & ((zero_zero(int) = X2 | dvd_dvd(int,X0,X1)) | ~dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))))),
% 58.13/9.55 inference(nnf_transformation,[],[f26678])).
% 58.13/9.55 tff(f26678,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : int] : (dvd_dvd(int,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))) <=> (zero_zero(int) = X2 | dvd_dvd(int,X0,X1)))),
% 58.13/9.55 inference(rectify,[],[f4595])).
% 58.13/9.55 tff(f4595,axiom,(
% 58.13/9.55 ! [X14 : int,X24 : int,X92 : int] : (dvd_dvd(int,X14,aa(int,int,aa(int,fun(int,int),times_times(int),X24),aa(int,int,sgn_sgn(int),X92))) <=> (zero_zero(int) = X92 | dvd_dvd(int,X14,X24)))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4594_dvd__mult__sgn__iff)).
% 58.13/9.55 tff(f86032,plain,(
% 58.13/9.55 spl5880_1486),
% 58.13/9.55 inference(avatar_split_clause,[],[f74458,f86029])).
% 58.13/9.55 tff(f74458,plain,(
% 58.13/9.55 sP2116(iG894($true),iG1228($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f74457,f69743])).
% 58.13/9.55 tff(f74457,plain,(
% 58.13/9.55 sP2116(iG894($true),aa(nat,nat,suc,iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f68396,f67338])).
% 58.13/9.55 tff(f68396,plain,(
% 58.13/9.55 sP2116(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f68395])).
% 58.13/9.55 tff(f68395,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (sP2116(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f59602])).
% 58.13/9.55 tff(f59602,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (sP2116(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42526])).
% 58.13/9.55 tff(f86020,plain,(
% 58.13/9.55 spl5880_1485),
% 58.13/9.55 inference(avatar_split_clause,[],[f74456,f86017])).
% 58.13/9.55 tff(f74456,plain,(
% 58.13/9.55 sP2116(iG1228($true),iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f74455,f69743])).
% 58.13/9.55 tff(f74455,plain,(
% 58.13/9.55 sP2116(aa(nat,nat,suc,iG894($true)),iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f68394,f67338])).
% 58.13/9.55 tff(f68394,plain,(
% 58.13/9.55 sP2116(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f68393])).
% 58.13/9.55 tff(f68393,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (sP2116(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f59603])).
% 58.13/9.55 tff(f59603,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (sP2116(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42526])).
% 58.13/9.55 tff(f86008,plain,(
% 58.13/9.55 spl5880_1484),
% 58.13/9.55 inference(avatar_split_clause,[],[f74436,f86005])).
% 58.13/9.55 tff(f74436,plain,(
% 58.13/9.55 sP2115(iG894($true),iG1228($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f74435,f69743])).
% 58.13/9.55 tff(f74435,plain,(
% 58.13/9.55 sP2115(iG894($true),aa(nat,nat,suc,iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f68392,f67338])).
% 58.13/9.55 tff(f68392,plain,(
% 58.13/9.55 sP2115(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f68391])).
% 58.13/9.55 tff(f68391,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (sP2115(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f59594])).
% 58.13/9.55 tff(f59594,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (sP2115(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42522])).
% 58.13/9.55 tff(f85996,plain,(
% 58.13/9.55 spl5880_1483),
% 58.13/9.55 inference(avatar_split_clause,[],[f74434,f85993])).
% 58.13/9.55 tff(f74434,plain,(
% 58.13/9.55 sP2115(iG1228($true),iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f74433,f69743])).
% 58.13/9.55 tff(f74433,plain,(
% 58.13/9.55 sP2115(aa(nat,nat,suc,iG894($true)),iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f68390,f67338])).
% 58.13/9.55 tff(f68390,plain,(
% 58.13/9.55 sP2115(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 58.13/9.55 inference(equality_resolution,[],[f68389])).
% 58.13/9.55 tff(f68389,plain,(
% 58.13/9.55 ( ! [X1 : nat] : (sP2115(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f59595])).
% 58.13/9.55 tff(f59595,plain,(
% 58.13/9.55 ( ! [X0 : nat,X1 : nat] : (sP2115(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42522])).
% 58.13/9.55 tff(f85989,plain,(
% 58.13/9.55 spl5880_1482),
% 58.13/9.55 inference(avatar_split_clause,[],[f70793,f85987])).
% 58.13/9.55 tff(f70793,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (sP1938(X1,X0,iG894($true))) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67874,f67338])).
% 58.13/9.55 tff(f67874,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : X1] : (sP1938(X1,X0,zero_zero(nat))) )),
% 58.13/9.55 inference(equality_resolution,[],[f53422])).
% 58.13/9.55 tff(f53422,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (sP1938(X1,X0,X2) | zero_zero(nat) != X2) )),
% 58.13/9.55 inference(cnf_transformation,[],[f39575])).
% 58.13/9.55 tff(f85980,plain,(
% 58.13/9.55 spl5880_1481),
% 58.13/9.55 inference(avatar_split_clause,[],[f69881,f85978])).
% 58.13/9.55 tff(f69881,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,iG1228($true),X0)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f69880,f69743])).
% 58.13/9.55 tff(f69880,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,iG894($true)),X0)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f50248,f67338])).
% 58.13/9.55 tff(f50248,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X0)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f22779])).
% 58.13/9.55 tff(f22779,plain,(
% 58.13/9.55 ! [X0 : nat] : dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X0)),
% 58.13/9.55 inference(rectify,[],[f1893])).
% 58.13/9.55 tff(f1893,axiom,(
% 58.13/9.55 ! [X24 : nat] : dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X24)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1892_dvd__1__left)).
% 58.13/9.55 tff(f85976,plain,(
% 58.13/9.55 spl5880_1480),
% 58.13/9.55 inference(avatar_split_clause,[],[f69734,f85973])).
% 58.13/9.55 tff(f85973,plain,(
% 58.13/9.55 spl5880_1480 <=> code_positive = code_integer_of_num),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1480])])).
% 58.13/9.55 tff(f85971,plain,(
% 58.13/9.55 spl5880_1479 | ~spl5880_186 | ~spl5880_790),
% 58.13/9.55 inference(avatar_split_clause,[],[f85148,f82328,f79373,f85968])).
% 58.13/9.55 tff(f85968,plain,(
% 58.13/9.55 spl5880_1479 <=> sP1904(int)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1479])])).
% 58.13/9.55 tff(f82328,plain,(
% 58.13/9.55 spl5880_790 <=> ! [X0 : $tType] : (sP1904(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_790])])).
% 58.13/9.55 tff(f85148,plain,(
% 58.13/9.55 sP1904(int) | (~spl5880_186 | ~spl5880_790)),
% 58.13/9.55 inference(resolution,[],[f82329,f79375])).
% 58.13/9.55 tff(f82329,plain,(
% 58.13/9.55 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1904(X0)) ) | ~spl5880_790),
% 58.13/9.55 inference(avatar_component_clause,[],[f82328])).
% 58.13/9.55 tff(f85964,plain,(
% 58.13/9.55 spl5880_1478),
% 58.13/9.55 inference(avatar_split_clause,[],[f69728,f85961])).
% 58.13/9.55 tff(f69728,plain,(
% 58.13/9.55 bot_bot(nat) = iG894($true)),
% 58.13/9.55 inference(forward_demodulation,[],[f50009,f67338])).
% 58.13/9.55 tff(f50009,plain,(
% 58.13/9.55 zero_zero(nat) = bot_bot(nat)),
% 58.13/9.55 inference(cnf_transformation,[],[f2272])).
% 58.13/9.55 tff(f2272,axiom,(
% 58.13/9.55 zero_zero(nat) = bot_bot(nat)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2271_bot__nat__def)).
% 58.13/9.55 tff(f85957,plain,(
% 58.13/9.55 spl5880_1477),
% 58.13/9.55 inference(avatar_split_clause,[],[f69727,f85954])).
% 58.13/9.55 tff(f69727,plain,(
% 58.13/9.55 iG894($true) = lG1553(one2)),
% 58.13/9.55 inference(forward_demodulation,[],[f69726,f67338])).
% 58.13/9.55 tff(f69726,plain,(
% 58.13/9.55 zero_zero(nat) = lG1553(one2)),
% 58.13/9.55 inference(forward_demodulation,[],[f65738,f65286])).
% 58.13/9.55 tff(f65738,plain,(
% 58.13/9.55 zero_zero(nat) = lG1586(one2)),
% 58.13/9.55 inference(definition_unfolding,[],[f50008,f46570])).
% 58.13/9.55 tff(f50008,plain,(
% 58.13/9.55 zero_zero(nat) = pred_numeral(one2)),
% 58.13/9.55 inference(cnf_transformation,[],[f2356])).
% 58.13/9.55 tff(f2356,axiom,(
% 58.13/9.55 zero_zero(nat) = pred_numeral(one2)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2355_pred__numeral__simps_I1_J)).
% 58.13/9.55 tff(f85950,plain,(
% 58.13/9.55 spl5880_1476),
% 58.13/9.55 inference(avatar_split_clause,[],[f69725,f85947])).
% 58.13/9.55 tff(f69725,plain,(
% 58.13/9.55 size_num(one2) = iG894($true)),
% 58.13/9.55 inference(forward_demodulation,[],[f50007,f67338])).
% 58.13/9.55 tff(f50007,plain,(
% 58.13/9.55 zero_zero(nat) = size_num(one2)),
% 58.13/9.55 inference(cnf_transformation,[],[f3034])).
% 58.13/9.55 tff(f3034,axiom,(
% 58.13/9.55 zero_zero(nat) = size_num(one2)),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3033_num_Osize__gen_I1_J)).
% 58.13/9.55 tff(f85943,plain,(
% 58.13/9.55 spl5880_1475),
% 58.13/9.55 inference(avatar_split_clause,[],[f69724,f85940])).
% 58.13/9.55 tff(f69724,plain,(
% 58.13/9.55 one2 = num_of_nat(iG894($true))),
% 58.13/9.55 inference(forward_demodulation,[],[f50001,f67338])).
% 58.13/9.55 tff(f50001,plain,(
% 58.13/9.55 one2 = num_of_nat(zero_zero(nat))),
% 58.13/9.55 inference(cnf_transformation,[],[f7100])).
% 58.13/9.55 tff(f7100,axiom,(
% 58.13/9.55 one2 = num_of_nat(zero_zero(nat))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7099_num__of__nat_Osimps_I1_J)).
% 58.13/9.55 tff(f85938,plain,(
% 58.13/9.55 spl5880_1474),
% 58.13/9.55 inference(avatar_split_clause,[],[f69710,f85935])).
% 58.13/9.55 tff(f69710,plain,(
% 58.13/9.55 sn76 = lG1832(summary,h79)),
% 58.13/9.55 inference(forward_demodulation,[],[f65724,f65717])).
% 58.13/9.55 tff(f65724,plain,(
% 58.13/9.55 sn76 = lG1832(summary,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 58.13/9.55 inference(definition_unfolding,[],[f49249,f46124,f56860])).
% 58.13/9.55 tff(f49249,plain,(
% 58.13/9.55 vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = sn76),
% 58.13/9.55 inference(cnf_transformation,[],[f9850])).
% 58.13/9.55 tff(f9850,plain,(
% 58.13/9.55 vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = sn76),
% 58.13/9.55 introduced(fool_let_definition,[])).
% 58.13/9.55 tff(f85931,plain,(
% 58.13/9.55 spl5880_1473),
% 58.13/9.55 inference(avatar_split_clause,[],[f69675,f85928])).
% 58.13/9.55 tff(f69675,plain,(
% 58.13/9.55 ($true = bG330(iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f67698,f67338])).
% 58.13/9.55 tff(f67698,plain,(
% 58.13/9.55 ($true = bG330(zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f49132])).
% 58.13/9.55 tff(f49132,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (($true = bG330(X0)) | zero_zero(nat) != X0) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38680])).
% 58.13/9.55 tff(f85924,plain,(
% 58.13/9.55 spl5880_1472),
% 58.13/9.55 inference(avatar_split_clause,[],[f69671,f85921])).
% 58.13/9.55 tff(f69671,plain,(
% 58.13/9.55 ($true = bG404(iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f67684,f67338])).
% 58.13/9.55 tff(f67684,plain,(
% 58.13/9.55 ($true = bG404(zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f48985])).
% 58.13/9.55 tff(f48985,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (($true = bG404(X0)) | zero_zero(nat) != X0) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38665])).
% 58.13/9.55 tff(f85917,plain,(
% 58.13/9.55 spl5880_1471),
% 58.13/9.55 inference(avatar_split_clause,[],[f69670,f85914])).
% 58.13/9.55 tff(f69670,plain,(
% 58.13/9.55 ($true = bG409(iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f67681,f67338])).
% 58.13/9.55 tff(f67681,plain,(
% 58.13/9.55 ($true = bG409(zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f48975])).
% 58.13/9.55 tff(f48975,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (($true = bG409(X0)) | zero_zero(nat) != X0) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38661])).
% 58.13/9.55 tff(f85910,plain,(
% 58.13/9.55 spl5880_1470),
% 58.13/9.55 inference(avatar_split_clause,[],[f69656,f85907])).
% 58.13/9.55 tff(f69656,plain,(
% 58.13/9.55 ($true = bG450(iG894($true)))),
% 58.13/9.55 inference(forward_demodulation,[],[f67631,f67338])).
% 58.13/9.55 tff(f67631,plain,(
% 58.13/9.55 ($true = bG450(zero_zero(nat)))),
% 58.13/9.55 inference(equality_resolution,[],[f48866])).
% 58.13/9.55 tff(f48866,plain,(
% 58.13/9.55 ( ! [X0 : nat] : (($true = bG450(X0)) | zero_zero(nat) != X0) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38640])).
% 58.13/9.55 tff(f85903,plain,(
% 58.13/9.55 spl5880_1469),
% 58.13/9.55 inference(avatar_split_clause,[],[f69515,f85901])).
% 58.13/9.55 tff(f69515,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG803(iG894($true),X4,$true)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67403,f67338])).
% 58.13/9.55 tff(f67403,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG803(zero_zero(nat),X4,$true)) )),
% 58.13/9.55 inference(equality_resolution,[],[f67402])).
% 58.13/9.55 tff(f67402,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o] : (iG803(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48149])).
% 58.13/9.55 tff(f48149,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG803(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38455])).
% 58.13/9.55 tff(f85899,plain,(
% 58.13/9.55 spl5880_1468 | ~spl5880_183 | ~spl5880_790),
% 58.13/9.55 inference(avatar_split_clause,[],[f85147,f82328,f79358,f85896])).
% 58.13/9.55 tff(f85896,plain,(
% 58.13/9.55 spl5880_1468 <=> sP1904(rat)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1468])])).
% 58.13/9.55 tff(f85147,plain,(
% 58.13/9.55 sP1904(rat) | (~spl5880_183 | ~spl5880_790)),
% 58.13/9.55 inference(resolution,[],[f82329,f79360])).
% 58.13/9.55 tff(f85892,plain,(
% 58.13/9.55 spl5880_1467),
% 58.13/9.55 inference(avatar_split_clause,[],[f69508,f85890])).
% 58.13/9.55 tff(f69508,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG811(iG894($true),X4,$true)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67393,f67338])).
% 58.13/9.55 tff(f67393,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG811(zero_zero(nat),X4,$true)) )),
% 58.13/9.55 inference(equality_resolution,[],[f67392])).
% 58.13/9.55 tff(f67392,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o] : (iG811(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48130])).
% 58.13/9.55 tff(f48130,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG811(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38448])).
% 58.13/9.55 tff(f85886,plain,(
% 58.13/9.55 spl5880_1466),
% 58.13/9.55 inference(avatar_split_clause,[],[f69501,f85884])).
% 58.13/9.55 tff(f69501,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG843(iG894($true),X4,$true)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67373,f67338])).
% 58.13/9.55 tff(f67373,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG843(zero_zero(nat),X4,$true)) )),
% 58.13/9.55 inference(equality_resolution,[],[f67372])).
% 58.13/9.55 tff(f67372,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o] : (iG843(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48063])).
% 58.13/9.55 tff(f48063,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG843(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38413])).
% 58.13/9.55 tff(f85880,plain,(
% 58.13/9.55 spl5880_1465),
% 58.13/9.55 inference(avatar_split_clause,[],[f69494,f85878])).
% 58.13/9.55 tff(f69494,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG851(iG894($true),X4,$true)) )),
% 58.13/9.55 inference(forward_demodulation,[],[f67363,f67338])).
% 58.13/9.55 tff(f67363,plain,(
% 58.13/9.55 ( ! [X4 : $o] : (iG851(zero_zero(nat),X4,$true)) )),
% 58.13/9.55 inference(equality_resolution,[],[f67362])).
% 58.13/9.55 tff(f67362,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o] : (iG851(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(equality_resolution,[],[f48044])).
% 58.13/9.55 tff(f48044,plain,(
% 58.13/9.55 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG851(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.55 inference(cnf_transformation,[],[f38406])).
% 58.13/9.55 tff(f85876,plain,(
% 58.13/9.55 spl5880_1464),
% 58.13/9.55 inference(avatar_split_clause,[],[f68789,f85874])).
% 58.13/9.55 tff(f85874,plain,(
% 58.13/9.55 spl5880_1464 <=> ! [X1 : int,X3 : $o] : sP2409(X3,X1,X3,X1)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1464])])).
% 58.13/9.55 tff(f68789,plain,(
% 58.13/9.55 ( ! [X3 : $o,X1 : int] : (sP2409(X3,X1,X3,X1)) )),
% 58.13/9.55 inference(equality_resolution,[],[f68788])).
% 58.13/9.55 tff(f68788,plain,(
% 58.13/9.55 ( ! [X3 : $o,X0 : int,X1 : int] : (sP2409(X3,X1,X3,X0) | X0 != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f62814])).
% 58.13/9.55 tff(f62814,plain,(
% 58.13/9.55 ( ! [X2 : $o,X3 : $o,X0 : int,X1 : int] : (sP2409(X3,X1,X2,X0) | (X2 != X3) | X0 != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f37772])).
% 58.13/9.55 tff(f37772,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (sP2409(X3,X1,X2,X0) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 58.13/9.55 inference(definition_folding,[],[f35942,f37771])).
% 58.13/9.55 tff(f37771,plain,(
% 58.13/9.55 ! [X3 : $o,X1 : int,X2 : $o,X0 : int] : (((($true = X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP2409(X3,X1,X2,X0))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2409])])).
% 58.13/9.55 tff(f35942,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (((($true = X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 58.13/9.55 inference(flattening,[],[f35941])).
% 58.13/9.55 tff(f35941,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : ((((($true = X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | X0 != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f19002])).
% 58.13/9.55 tff(f19002,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (X0 = X1 => ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (X2 = X3)) => ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => ($true = X2)) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => ($true = X3)))))),
% 58.13/9.55 inference(fool_elimination,[],[f19001])).
% 58.13/9.55 tff(f19001,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (X0 = X1 => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1) => (X2 <=> X3)) => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0) => X2) <=> (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1) => X3))))),
% 58.13/9.55 inference(rectify,[],[f1745])).
% 58.13/9.55 tff(f1745,axiom,(
% 58.13/9.55 ! [X9 : int,X216 : int,X26 : $o,X208 : $o] : (X9 = X216 => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X216) => (X26 <=> X208)) => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X9) => X26) <=> (aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X216) => X208))))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1744_imp__le__cong)).
% 58.13/9.55 tff(f85872,plain,(
% 58.13/9.55 spl5880_1463),
% 58.13/9.55 inference(avatar_split_clause,[],[f68784,f85870])).
% 58.13/9.55 tff(f85870,plain,(
% 58.13/9.55 spl5880_1463 <=> ! [X1 : int,X3 : $o] : sP2408(X3,X1,X3,X1)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1463])])).
% 58.13/9.55 tff(f68784,plain,(
% 58.13/9.55 ( ! [X3 : $o,X1 : int] : (sP2408(X3,X1,X3,X1)) )),
% 58.13/9.55 inference(equality_resolution,[],[f68783])).
% 58.13/9.55 tff(f68783,plain,(
% 58.13/9.55 ( ! [X3 : $o,X0 : int,X1 : int] : (sP2408(X3,X1,X3,X0) | X0 != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f62808])).
% 58.13/9.55 tff(f62808,plain,(
% 58.13/9.55 ( ! [X2 : $o,X3 : $o,X0 : int,X1 : int] : (sP2408(X3,X1,X2,X0) | (X2 != X3) | X0 != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f37770])).
% 58.13/9.55 tff(f37770,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (sP2408(X3,X1,X2,X0) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 58.13/9.55 inference(definition_folding,[],[f35940,f37769])).
% 58.13/9.55 tff(f37769,plain,(
% 58.13/9.55 ! [X3 : $o,X1 : int,X2 : $o,X0 : int] : (((($true = X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP2408(X3,X1,X2,X0))),
% 58.13/9.55 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2408])])).
% 58.13/9.55 tff(f35940,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (((($true = X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 58.13/9.55 inference(flattening,[],[f35939])).
% 58.13/9.55 tff(f35939,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : ((((($true = X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | ((X2 != X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))) | X0 != X1)),
% 58.13/9.55 inference(ennf_transformation,[],[f19000])).
% 58.13/9.55 tff(f19000,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (X0 = X1 => ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (X2 = X3)) => ((($true = X2) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) <=> (($true = X3) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))))))),
% 58.13/9.55 inference(fool_elimination,[],[f18999])).
% 58.13/9.55 tff(f18999,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : $o,X3 : $o] : (X0 = X1 => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1) => (X2 <=> X3)) => ((X2 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) <=> (X3 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))))),
% 58.13/9.55 inference(rectify,[],[f1746])).
% 58.13/9.55 tff(f1746,axiom,(
% 58.13/9.55 ! [X9 : int,X216 : int,X26 : $o,X208 : $o] : (X9 = X216 => ((aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X216) => (X26 <=> X208)) => ((X26 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X9)) <=> (X208 & aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X216)))))),
% 58.13/9.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1745_conj__le__cong)).
% 58.13/9.55 tff(f85868,plain,(
% 58.13/9.55 spl5880_1462),
% 58.13/9.55 inference(avatar_split_clause,[],[f68627,f85866])).
% 58.13/9.55 tff(f85866,plain,(
% 58.13/9.55 spl5880_1462 <=> ! [X1 : $tType,X0 : option(X1)] : ~sP2352(X1,X0,none(X1))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1462])])).
% 58.13/9.55 tff(f68627,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X0 : option(X1)] : (~sP2352(X1,X0,none(X1))) )),
% 58.13/9.55 inference(equality_resolution,[],[f61465])).
% 58.13/9.55 tff(f61465,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : option(X1),X0 : option(X1)] : (none(X1) != X2 | ~sP2352(X1,X0,X2)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f43986])).
% 58.13/9.55 tff(f43986,plain,(
% 58.13/9.55 ! [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) | ~sP2352(X1,X0,X2))),
% 58.13/9.55 inference(rectify,[],[f43985])).
% 58.13/9.55 tff(f43985,plain,(
% 58.13/9.55 ! [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) | ~sP2352(X0,X2,X1))),
% 58.13/9.55 inference(nnf_transformation,[],[f37676])).
% 58.13/9.55 tff(f85864,plain,(
% 58.13/9.55 spl5880_1461),
% 58.13/9.55 inference(avatar_split_clause,[],[f68626,f85862])).
% 58.13/9.55 tff(f85862,plain,(
% 58.13/9.55 spl5880_1461 <=> ! [X1 : $tType,X2 : option(X1)] : ~sP2352(X1,none(X1),X2)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1461])])).
% 58.13/9.55 tff(f68626,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : option(X1)] : (~sP2352(X1,none(X1),X2)) )),
% 58.13/9.55 inference(equality_resolution,[],[f61466])).
% 58.13/9.55 tff(f61466,plain,(
% 58.13/9.55 ( ! [X1 : $tType,X2 : option(X1),X0 : option(X1)] : (none(X1) != X0 | ~sP2352(X1,X0,X2)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f43986])).
% 58.13/9.55 tff(f85860,plain,(
% 58.13/9.55 spl5880_1460),
% 58.13/9.55 inference(avatar_split_clause,[],[f68444,f85858])).
% 58.13/9.55 tff(f85858,plain,(
% 58.13/9.55 spl5880_1460 <=> ! [X2 : product_prod(int,int),X0 : int] : ~sP2141(X0,zero_zero(int),X2)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1460])])).
% 58.13/9.55 tff(f68444,plain,(
% 58.13/9.55 ( ! [X2 : product_prod(int,int),X0 : int] : (~sP2141(X0,zero_zero(int),X2)) )),
% 58.13/9.55 inference(equality_resolution,[],[f60508])).
% 58.13/9.55 tff(f60508,plain,(
% 58.13/9.55 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (zero_zero(int) != X1 | ~sP2141(X0,X1,X2)) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42910])).
% 58.13/9.55 tff(f42910,plain,(
% 58.13/9.55 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((aa(int,int,aa(int,fun(int,int),times_times(int),sK4309(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),sK4309(X0,X1,X2)),zero_zero(int)) = X2) | ~sP2141(X0,X1,X2))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4309])],[f42908,f42909])).
% 58.13/9.55 tff(f42909,plain,(
% 58.13/9.55 ! [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),sK4309(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),sK4309(X0,X1,X2)),zero_zero(int)) = X2))),
% 58.13/9.55 introduced(choice_axiom,[])).
% 58.13/9.55 tff(f42908,plain,(
% 58.13/9.55 ! [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) | ~sP2141(X0,X1,X2))),
% 58.13/9.55 inference(nnf_transformation,[],[f37421])).
% 58.13/9.55 tff(f85856,plain,(
% 58.13/9.55 spl5880_1459),
% 58.13/9.55 inference(avatar_split_clause,[],[f68366,f85853])).
% 58.13/9.55 tff(f85853,plain,(
% 58.13/9.55 spl5880_1459 <=> sP2113(one_one(int),one_one(int))),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1459])])).
% 58.13/9.55 tff(f68366,plain,(
% 58.13/9.55 sP2113(one_one(int),one_one(int))),
% 58.13/9.55 inference(equality_resolution,[],[f68365])).
% 58.13/9.55 tff(f68365,plain,(
% 58.13/9.55 ( ! [X1 : int] : (sP2113(one_one(int),X1) | one_one(int) != X1) )),
% 58.13/9.55 inference(equality_resolution,[],[f59530])).
% 58.13/9.55 tff(f59530,plain,(
% 58.13/9.55 ( ! [X0 : int,X1 : int] : (sP2113(X0,X1) | one_one(int) != X0 | one_one(int) != X1) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42478])).
% 58.13/9.55 tff(f85851,plain,(
% 58.13/9.55 spl5880_1458),
% 58.13/9.55 inference(avatar_split_clause,[],[f68319,f85849])).
% 58.13/9.55 tff(f85849,plain,(
% 58.13/9.55 spl5880_1458 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP2097(X0,X1,X3,X3)),
% 58.13/9.55 introduced(avatar_definition,[new_symbols(naming,[spl5880_1458])])).
% 58.13/9.55 tff(f68319,plain,(
% 58.13/9.55 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2097(X0,X1,X3,X3)) )),
% 58.13/9.55 inference(equality_resolution,[],[f59382])).
% 58.13/9.55 tff(f59382,plain,(
% 58.13/9.55 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2097(X0,X1,X2,X3) | X2 != X3) )),
% 58.13/9.55 inference(cnf_transformation,[],[f42378])).
% 58.13/9.55 tff(f42378,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP2097(X0,X1,X2,X3) | (((~sP2096(X3,X2,X1,sK4177(X0,X1,X2,X3),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK4177(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK4177(X0,X1,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4177(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] : ((sP2096(X3,X2,X1,X5,X0) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)))) | X2 = X3 | ~sP2097(X0,X1,X2,X3)))),
% 58.13/9.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4177])],[f42376,f42377])).
% 58.13/9.55 tff(f42377,plain,(
% 58.13/9.55 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP2096(X3,X2,X1,X4,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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)))) => ((~sP2096(X3,X2,X1,sK4177(X0,X1,X2,X3),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK4177(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK4177(X0,X1,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4177(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)))))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f42376,plain,(
% 58.13/9.56 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP2097(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP2096(X3,X2,X1,X4,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2096(X3,X2,X1,X5,X0) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)))) | X2 = X3 | ~sP2097(X0,X1,X2,X3)))),
% 58.13/9.56 inference(rectify,[],[f42375])).
% 58.13/9.56 tff(f42375,plain,(
% 58.13/9.56 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP2097(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP2096(X18,X17,X15,X19,X14) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) & vEBT_VEBT_high(X18,X15) = X19)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2096(X18,X17,X15,X19,X14) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)))) | X17 = X18 | ~sP2097(X14,X15,X17,X18)))),
% 58.13/9.56 inference(flattening,[],[f42374])).
% 58.13/9.56 tff(f42374,plain,(
% 58.13/9.56 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP2097(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP2096(X18,X17,X15,X19,X14) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) & vEBT_VEBT_high(X18,X15) = X19)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2096(X18,X17,X15,X19,X14) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X15)))) | X17 = X18) | ~sP2097(X14,X15,X17,X18)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37356])).
% 58.13/9.56 tff(f85847,plain,(
% 58.13/9.56 spl5880_1457 | ~spl5880_187 | ~spl5880_790),
% 58.13/9.56 inference(avatar_split_clause,[],[f85146,f82328,f79378,f85844])).
% 58.13/9.56 tff(f85844,plain,(
% 58.13/9.56 spl5880_1457 <=> sP1904(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1457])])).
% 58.13/9.56 tff(f85146,plain,(
% 58.13/9.56 sP1904(real) | (~spl5880_187 | ~spl5880_790)),
% 58.13/9.56 inference(resolution,[],[f82329,f79380])).
% 58.13/9.56 tff(f85842,plain,(
% 58.13/9.56 spl5880_1456),
% 58.13/9.56 inference(avatar_split_clause,[],[f68314,f85840])).
% 58.13/9.56 tff(f85840,plain,(
% 58.13/9.56 spl5880_1456 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP2101(X0,X1,X3,X3)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1456])])).
% 58.13/9.56 tff(f68314,plain,(
% 58.13/9.56 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2101(X0,X1,X3,X3)) )),
% 58.13/9.56 inference(equality_resolution,[],[f59362])).
% 58.13/9.56 tff(f59362,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP2101(X0,X1,X2,X3) | X2 != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42356])).
% 58.13/9.56 tff(f42356,plain,(
% 58.13/9.56 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP2101(X0,X1,X2,X3) | (((~sP2100(X3,X2,X1,sK4170(X0,X1,X2,X3),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK4170(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK4170(X0,X1,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4170(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] : ((sP2100(X3,X2,X1,X5,X0) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP2101(X0,X1,X2,X3)))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4170])],[f42354,f42355])).
% 58.13/9.56 tff(f42355,plain,(
% 58.13/9.56 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP2100(X3,X2,X1,X4,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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))))) => ((~sP2100(X3,X2,X1,sK4170(X0,X1,X2,X3),X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK4170(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK4170(X0,X1,X2,X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK4170(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f42354,plain,(
% 58.13/9.56 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP2101(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP2100(X3,X2,X1,X4,X0) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2100(X3,X2,X1,X5,X0) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP2101(X0,X1,X2,X3)))),
% 58.13/9.56 inference(rectify,[],[f42353])).
% 58.13/9.56 tff(f42353,plain,(
% 58.13/9.56 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP2101(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP2100(X6,X5,X3,X7,X2) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) & vEBT_VEBT_high(X6,X3) = X7)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2100(X6,X5,X3,X7,X2) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) | X5 = X6 | ~sP2101(X2,X3,X5,X6)))),
% 58.13/9.56 inference(flattening,[],[f42352])).
% 58.13/9.56 tff(f42352,plain,(
% 58.13/9.56 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP2101(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP2100(X6,X5,X3,X7,X2) | (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) & vEBT_VEBT_high(X6,X3) = X7)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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] : ((sP2100(X6,X5,X3,X7,X2) & (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) | X5 = X6) | ~sP2101(X2,X3,X5,X6)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37360])).
% 58.13/9.56 tff(f85838,plain,(
% 58.13/9.56 spl5880_1455),
% 58.13/9.56 inference(avatar_split_clause,[],[f68260,f85836])).
% 58.13/9.56 tff(f85836,plain,(
% 58.13/9.56 spl5880_1455 <=> ! [X1 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X1) | ~sP2080($true,X1))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1455])])).
% 58.13/9.56 tff(f68260,plain,(
% 58.13/9.56 ( ! [X1 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X1) | ~sP2080($true,X1)) )),
% 58.13/9.56 inference(equality_resolution,[],[f58756])).
% 58.13/9.56 tff(f58756,plain,(
% 58.13/9.56 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~vEBT_VEBT_minNull(X1) | ~sP2080(X0,X1)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42039])).
% 58.13/9.56 tff(f85834,plain,(
% 58.13/9.56 spl5880_1454),
% 58.13/9.56 inference(avatar_split_clause,[],[f67754,f85832])).
% 58.13/9.56 tff(f67754,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1] : (sP1874(X1,zero_zero(X1),X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f51551])).
% 58.13/9.56 tff(f51551,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP1874(X1,X0,X2) | zero_zero(X1) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f39008])).
% 58.13/9.56 tff(f39008,plain,(
% 58.13/9.56 ! [X0 : X1,X1 : $tType,X2 : X1] : ((sP1874(X1,X0,X2) | (zero_zero(X1) != X0 & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X0),X2)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),X0)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))))) & (zero_zero(X1) = X0 | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X0),X2)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),X0)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) | ~sP1874(X1,X0,X2)))),
% 58.13/9.56 inference(rectify,[],[f39007])).
% 58.13/9.56 tff(f39007,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP1874(X0,X2,X1) | (zero_zero(X0) != X2 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) & (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))) | ~sP1874(X0,X2,X1)))),
% 58.13/9.56 inference(flattening,[],[f39006])).
% 58.13/9.56 tff(f39006,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP1874(X0,X2,X1) | (zero_zero(X0) != X2 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))) | ~sP1874(X0,X2,X1)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37003])).
% 58.13/9.56 tff(f37003,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1874(X0,X2,X1) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1874])])).
% 58.13/9.56 tff(f85830,plain,(
% 58.13/9.56 spl5880_1453),
% 58.13/9.56 inference(avatar_split_clause,[],[f67753,f85828])).
% 58.13/9.56 tff(f67753,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1] : (sP1870(X1,zero_zero(X1),X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f51532])).
% 58.13/9.56 tff(f51532,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP1870(X1,X0,X2) | zero_zero(X1) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f39000])).
% 58.13/9.56 tff(f39000,plain,(
% 58.13/9.56 ! [X0 : X1,X1 : $tType,X2 : X1] : ((sP1870(X1,X0,X2) | (zero_zero(X1) != X0 & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),X2)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),X0)) | ($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))))) & (zero_zero(X1) = X0 | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),X2)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X0),zero_zero(X1)))) | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X2),X0)) & ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) | ~sP1870(X1,X0,X2)))),
% 58.13/9.56 inference(rectify,[],[f38999])).
% 58.13/9.56 tff(f38999,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP1870(X0,X2,X1) | (zero_zero(X0) != X2 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) & (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))) | ~sP1870(X0,X2,X1)))),
% 58.13/9.56 inference(flattening,[],[f38998])).
% 58.13/9.56 tff(f38998,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP1870(X0,X2,X1) | (zero_zero(X0) != X2 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))) | ~sP1870(X0,X2,X1)))),
% 58.13/9.56 inference(nnf_transformation,[],[f36997])).
% 58.13/9.56 tff(f36997,plain,(
% 58.13/9.56 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1870(X0,X2,X1) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1870])])).
% 58.13/9.56 tff(f85826,plain,(
% 58.13/9.56 spl5880_1452),
% 58.13/9.56 inference(avatar_split_clause,[],[f67714,f85824])).
% 58.13/9.56 tff(f85824,plain,(
% 58.13/9.56 spl5880_1452 <=> ! [X2 : $tType,X1 : X2] : sP1850(X2,zero_zero(real),X1)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1452])])).
% 58.13/9.56 tff(f67714,plain,(
% 58.13/9.56 ( ! [X2 : $tType,X1 : X2] : (sP1850(X2,zero_zero(real),X1)) )),
% 58.13/9.56 inference(equality_resolution,[],[f50712])).
% 58.13/9.56 tff(f50712,plain,(
% 58.13/9.56 ( ! [X2 : $tType,X0 : real,X1 : X2] : (sP1850(X2,X0,X1) | zero_zero(real) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38712])).
% 58.13/9.56 tff(f38712,plain,(
% 58.13/9.56 ! [X0 : real,X1 : X2,X2 : $tType] : ((sP1850(X2,X0,X1) | (zero_zero(real) != X0 & (($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),zero_zero(X2)),X1)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) & (($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),zero_zero(X2))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))))) & (zero_zero(real) = X0 | (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),zero_zero(X2)),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) | (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less_eq(X2),X1),zero_zero(X2))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))) | ~sP1850(X2,X0,X1)))),
% 58.13/9.56 inference(rectify,[],[f38711])).
% 58.13/9.56 tff(f38711,plain,(
% 58.13/9.56 ! [X1 : real,X2 : X0,X0 : $tType] : ((sP1850(X0,X1,X2) | (zero_zero(real) != X1 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) & (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))) | ~sP1850(X0,X1,X2)))),
% 58.13/9.56 inference(flattening,[],[f38710])).
% 58.13/9.56 tff(f38710,plain,(
% 58.13/9.56 ! [X1 : real,X2 : X0,X0 : $tType] : ((sP1850(X0,X1,X2) | (zero_zero(real) != X1 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) & ((zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))) | ~sP1850(X0,X1,X2)))),
% 58.13/9.56 inference(nnf_transformation,[],[f36967])).
% 58.13/9.56 tff(f36967,plain,(
% 58.13/9.56 ! [X1 : real,X2 : X0,X0 : $tType] : (sP1850(X0,X1,X2) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1850])])).
% 58.13/9.56 tff(f85822,plain,(
% 58.13/9.56 spl5880_1451),
% 58.13/9.56 inference(avatar_split_clause,[],[f67713,f85820])).
% 58.13/9.56 tff(f85820,plain,(
% 58.13/9.56 spl5880_1451 <=> ! [X1 : $tType,X2 : X1] : sP1848(X1,zero_zero(real),X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1451])])).
% 58.13/9.56 tff(f67713,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1] : (sP1848(X1,zero_zero(real),X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f50702])).
% 58.13/9.56 tff(f50702,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X2 : X1,X0 : real] : (sP1848(X1,X0,X2) | zero_zero(real) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38708])).
% 58.13/9.56 tff(f38708,plain,(
% 58.13/9.56 ! [X0 : real,X1 : $tType,X2 : X1] : ((sP1848(X1,X0,X2) | (zero_zero(real) != X0 & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),zero_zero(X1))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) & (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))))) & (zero_zero(real) = X0 | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X2),zero_zero(X1))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) | (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),zero_zero(X1)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))) | ~sP1848(X1,X0,X2)))),
% 58.13/9.56 inference(rectify,[],[f38707])).
% 58.13/9.56 tff(f38707,plain,(
% 58.13/9.56 ! [X1 : real,X0 : $tType,X2 : X0] : ((sP1848(X0,X1,X2) | (zero_zero(real) != X1 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) & (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))) | ~sP1848(X0,X1,X2)))),
% 58.13/9.56 inference(flattening,[],[f38706])).
% 58.13/9.56 tff(f38706,plain,(
% 58.13/9.56 ! [X1 : real,X0 : $tType,X2 : X0] : ((sP1848(X0,X1,X2) | (zero_zero(real) != X1 & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) & ((zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))) | ~sP1848(X0,X1,X2)))),
% 58.13/9.56 inference(nnf_transformation,[],[f36964])).
% 58.13/9.56 tff(f36964,plain,(
% 58.13/9.56 ! [X1 : real,X0 : $tType,X2 : X0] : (sP1848(X0,X1,X2) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1848])])).
% 58.13/9.56 tff(f85818,plain,(
% 58.13/9.56 spl5880_1450),
% 58.13/9.56 inference(avatar_split_clause,[],[f67611,f85816])).
% 58.13/9.56 tff(f85816,plain,(
% 58.13/9.56 spl5880_1450 <=> ! [X0 : $o] : ($true = bG487(X0,$true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1450])])).
% 58.13/9.56 tff(f67611,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG487(X0,$true))) )),
% 58.13/9.56 inference(equality_resolution,[],[f48790])).
% 58.13/9.56 tff(f48790,plain,(
% 58.13/9.56 ( ! [X0 : $o,X1 : $o] : (($true = bG487(X0,X1)) | ($true != X1)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38620])).
% 58.13/9.56 tff(f85814,plain,(
% 58.13/9.56 spl5880_1449),
% 58.13/9.56 inference(avatar_split_clause,[],[f67610,f85812])).
% 58.13/9.56 tff(f85812,plain,(
% 58.13/9.56 spl5880_1449 <=> ! [X1 : $o] : ($true = bG487($true,X1))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1449])])).
% 58.13/9.56 tff(f67610,plain,(
% 58.13/9.56 ( ! [X1 : $o] : (($true = bG487($true,X1))) )),
% 58.13/9.56 inference(equality_resolution,[],[f48791])).
% 58.13/9.56 tff(f48791,plain,(
% 58.13/9.56 ( ! [X0 : $o,X1 : $o] : (($true = bG487(X0,X1)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38620])).
% 58.13/9.56 tff(f85810,plain,(
% 58.13/9.56 spl5880_1448),
% 58.13/9.56 inference(avatar_split_clause,[],[f67565,f85807])).
% 58.13/9.56 tff(f85807,plain,(
% 58.13/9.56 spl5880_1448 <=> ($true = bG551($true,$true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1448])])).
% 58.13/9.56 tff(f67565,plain,(
% 58.13/9.56 ($true = bG551($true,$true))),
% 58.13/9.56 inference(equality_resolution,[],[f67564])).
% 58.13/9.56 tff(f67564,plain,(
% 58.13/9.56 ( ! [X1 : $o] : (($true = bG551($true,X1)) | ($true != X1)) )),
% 58.13/9.56 inference(equality_resolution,[],[f48666])).
% 58.13/9.56 tff(f48666,plain,(
% 58.13/9.56 ( ! [X0 : $o,X1 : $o] : (($true = bG551(X0,X1)) | ($true != X0) | ($true != X1)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38585])).
% 58.13/9.56 tff(f85805,plain,(
% 58.13/9.56 ~spl5880_1447),
% 58.13/9.56 inference(avatar_split_clause,[],[f67476,f85802])).
% 58.13/9.56 tff(f67476,plain,(
% 58.13/9.56 ($true != bG699(zero_zero(int)))),
% 58.13/9.56 inference(equality_resolution,[],[f48358])).
% 58.13/9.56 tff(f48358,plain,(
% 58.13/9.56 ( ! [X0 : int] : (zero_zero(int) != X0 | ($true != bG699(X0))) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38524])).
% 58.13/9.56 tff(f85800,plain,(
% 58.13/9.56 spl5880_1446 | ~spl5880_182 | ~spl5880_790),
% 58.13/9.56 inference(avatar_split_clause,[],[f85145,f82328,f79353,f85797])).
% 58.13/9.56 tff(f85797,plain,(
% 58.13/9.56 spl5880_1446 <=> sP1904(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1446])])).
% 58.13/9.56 tff(f85145,plain,(
% 58.13/9.56 sP1904(code_integer) | (~spl5880_182 | ~spl5880_790)),
% 58.13/9.56 inference(resolution,[],[f82329,f79355])).
% 58.13/9.56 tff(f85795,plain,(
% 58.13/9.56 ~spl5880_1445),
% 58.13/9.56 inference(avatar_split_clause,[],[f67474,f85792])).
% 58.13/9.56 tff(f67474,plain,(
% 58.13/9.56 ($true != bG703(zero_zero(int)))),
% 58.13/9.56 inference(equality_resolution,[],[f48351])).
% 58.13/9.56 tff(f48351,plain,(
% 58.13/9.56 ( ! [X0 : int] : (zero_zero(int) != X0 | ($true != bG703(X0))) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38523])).
% 58.13/9.56 tff(f85790,plain,(
% 58.13/9.56 spl5880_1444),
% 58.13/9.56 inference(avatar_split_clause,[],[f67470,f85787])).
% 58.13/9.56 tff(f85785,plain,(
% 58.13/9.56 spl5880_1443),
% 58.13/9.56 inference(avatar_split_clause,[],[f67467,f85782])).
% 58.13/9.56 tff(f85779,plain,(
% 58.13/9.56 spl5880_1442),
% 58.13/9.56 inference(avatar_split_clause,[],[f67355,f85776])).
% 58.13/9.56 tff(f85773,plain,(
% 58.13/9.56 spl5880_1441),
% 58.13/9.56 inference(avatar_split_clause,[],[f67352,f85770])).
% 58.13/9.56 tff(f85767,plain,(
% 58.13/9.56 spl5880_1440),
% 58.13/9.56 inference(avatar_split_clause,[],[f67341,f85764])).
% 58.13/9.56 tff(f85761,plain,(
% 58.13/9.56 spl5880_1439),
% 58.13/9.56 inference(avatar_split_clause,[],[f67338,f85758])).
% 58.13/9.56 tff(f85755,plain,(
% 58.13/9.56 spl5880_1438),
% 58.13/9.56 inference(avatar_split_clause,[],[f67296,f85753])).
% 58.13/9.56 tff(f67296,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG934(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f67295])).
% 58.13/9.56 tff(f67295,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG934(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f47879])).
% 58.13/9.56 tff(f47879,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG934(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38350])).
% 58.13/9.56 tff(f85750,plain,(
% 58.13/9.56 spl5880_1437),
% 58.13/9.56 inference(avatar_split_clause,[],[f67284,f85748])).
% 58.13/9.56 tff(f67284,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG946(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f67283])).
% 58.13/9.56 tff(f67283,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG946(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f47848])).
% 58.13/9.56 tff(f47848,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG946(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38339])).
% 58.13/9.56 tff(f85745,plain,(
% 58.13/9.56 spl5880_1436),
% 58.13/9.56 inference(avatar_split_clause,[],[f67274,f85743])).
% 58.13/9.56 tff(f67274,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG956(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f67273])).
% 58.13/9.56 tff(f67273,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG956(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f47821])).
% 58.13/9.56 tff(f47821,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG956(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38330])).
% 58.13/9.56 tff(f85741,plain,(
% 58.13/9.56 spl5880_1435 | ~spl5880_186 | ~spl5880_789),
% 58.13/9.56 inference(avatar_split_clause,[],[f85144,f82324,f79373,f85738])).
% 58.13/9.56 tff(f85738,plain,(
% 58.13/9.56 spl5880_1435 <=> sP1902(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1435])])).
% 58.13/9.56 tff(f82324,plain,(
% 58.13/9.56 spl5880_789 <=> ! [X0 : $tType] : (sP1902(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_789])])).
% 58.13/9.56 tff(f85144,plain,(
% 58.13/9.56 sP1902(int) | (~spl5880_186 | ~spl5880_789)),
% 58.13/9.56 inference(resolution,[],[f82325,f79375])).
% 58.13/9.56 tff(f82325,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1902(X0)) ) | ~spl5880_789),
% 58.13/9.56 inference(avatar_component_clause,[],[f82324])).
% 58.13/9.56 tff(f85735,plain,(
% 58.13/9.56 spl5880_1434),
% 58.13/9.56 inference(avatar_split_clause,[],[f67262,f85733])).
% 58.13/9.56 tff(f67262,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG968(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f67261])).
% 58.13/9.56 tff(f67261,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG968(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f47790])).
% 58.13/9.56 tff(f47790,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG968(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38319])).
% 58.13/9.56 tff(f85731,plain,(
% 58.13/9.56 spl5880_1433),
% 58.13/9.56 inference(avatar_split_clause,[],[f67245,f85728])).
% 58.13/9.56 tff(f85728,plain,(
% 58.13/9.56 spl5880_1433 <=> ($true = bG1000(one_one(code_integer)))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1433])])).
% 58.13/9.56 tff(f67245,plain,(
% 58.13/9.56 ($true = bG1000(one_one(code_integer)))),
% 58.13/9.56 inference(equality_resolution,[],[f47713])).
% 58.13/9.56 tff(f47713,plain,(
% 58.13/9.56 ( ! [X0 : code_integer] : (($true = bG1000(X0)) | one_one(code_integer) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38302])).
% 58.13/9.56 tff(f85725,plain,(
% 58.13/9.56 spl5880_1432),
% 58.13/9.56 inference(avatar_split_clause,[],[f67225,f85722])).
% 58.13/9.56 tff(f85719,plain,(
% 58.13/9.56 spl5880_1431),
% 58.13/9.56 inference(avatar_split_clause,[],[f67131,f85716])).
% 58.13/9.56 tff(f85713,plain,(
% 58.13/9.56 spl5880_1430),
% 58.13/9.56 inference(avatar_split_clause,[],[f67101,f85710])).
% 58.13/9.56 tff(f85707,plain,(
% 58.13/9.56 spl5880_1429),
% 58.13/9.56 inference(avatar_split_clause,[],[f66954,f85705])).
% 58.13/9.56 tff(f66954,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG1478(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f66953])).
% 58.13/9.56 tff(f66953,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG1478(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f46803])).
% 58.13/9.56 tff(f46803,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG1478(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38066])).
% 58.13/9.56 tff(f85702,plain,(
% 58.13/9.56 spl5880_1428),
% 58.13/9.56 inference(avatar_split_clause,[],[f66932,f85700])).
% 58.13/9.56 tff(f66932,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG1510(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f66931])).
% 58.13/9.56 tff(f66931,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG1510(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f46738])).
% 58.13/9.56 tff(f46738,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG1510(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38044])).
% 58.13/9.56 tff(f85697,plain,(
% 58.13/9.56 spl5880_1427),
% 58.13/9.56 inference(avatar_split_clause,[],[f66910,f85695])).
% 58.13/9.56 tff(f66910,plain,(
% 58.13/9.56 ( ! [X4 : $o] : (iG1538(zero_zero(nat),X4,$true)) )),
% 58.13/9.56 inference(equality_resolution,[],[f66909])).
% 58.13/9.56 tff(f66909,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o] : (iG1538(X3,X4,$true) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(equality_resolution,[],[f46676])).
% 58.13/9.56 tff(f46676,plain,(
% 58.13/9.56 ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG1538(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38027])).
% 58.13/9.56 tff(f85693,plain,(
% 58.13/9.56 spl5880_1426),
% 58.13/9.56 inference(avatar_split_clause,[],[f65842,f85691])).
% 58.13/9.56 tff(f85689,plain,(
% 58.13/9.56 spl5880_1425),
% 58.13/9.56 inference(avatar_split_clause,[],[f65840,f85687])).
% 58.13/9.56 tff(f85687,plain,(
% 58.13/9.56 spl5880_1425 <=> ! [X0 : code_integer] : iG294(X0) = lG691(X0)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1425])])).
% 58.13/9.56 tff(f65840,plain,(
% 58.13/9.56 ( ! [X0 : code_integer] : (iG294(X0) = lG691(X0)) )),
% 58.13/9.56 inference(definition_unfolding,[],[f50604,f48369])).
% 58.13/9.56 tff(f48369,plain,(
% 58.13/9.56 ( ! [X0 : code_integer] : (code_num_of_integer(X0) = lG691(X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f14743])).
% 58.13/9.56 tff(f14743,plain,(
% 58.13/9.56 ! [X0 : code_integer] : code_num_of_integer(X0) = lG691(X0)),
% 58.13/9.56 introduced(fool_let_definition,[new_symbols(definition,[lG691])])).
% 58.13/9.56 tff(f50604,plain,(
% 58.13/9.56 ( ! [X0 : code_integer] : (code_num_of_integer(X0) = iG294(X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f9899])).
% 58.13/9.56 tff(f9899,plain,(
% 58.13/9.56 ! [X0 : code_integer] : code_num_of_integer(X0) = iG294(X0)),
% 58.13/9.56 inference(fool_elimination,[],[f9897,f9898])).
% 58.13/9.56 tff(f9898,plain,(
% 58.13/9.56 ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_lr(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG294(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => one2 = iG294(X0))),
% 58.13/9.56 introduced(fool_ite_definition,[new_symbols(definition,[iG294])])).
% 58.13/9.56 tff(f9897,plain,(
% 58.13/9.56 ! [X0 : code_integer] : code_num_of_integer(X0) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer)), one2,aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_lr(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))))),
% 58.13/9.56 inference(rectify,[],[f5456])).
% 58.13/9.56 tff(f5456,axiom,(
% 58.13/9.56 ! [X24 : code_integer] : code_num_of_integer(X24) = $ite(aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X24),one_one(code_integer)), one2,aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_lr(code_integer,fun(code_integer,num))),code_divmod_integer(X24,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))))),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5455_num__of__integer__code)).
% 58.13/9.56 tff(f85685,plain,(
% 58.13/9.56 spl5880_1424 | ~spl5880_183 | ~spl5880_789),
% 58.13/9.56 inference(avatar_split_clause,[],[f85143,f82324,f79358,f85682])).
% 58.13/9.56 tff(f85682,plain,(
% 58.13/9.56 spl5880_1424 <=> sP1902(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1424])])).
% 58.13/9.56 tff(f85143,plain,(
% 58.13/9.56 sP1902(rat) | (~spl5880_183 | ~spl5880_789)),
% 58.13/9.56 inference(resolution,[],[f82325,f79360])).
% 58.13/9.56 tff(f85680,plain,(
% 58.13/9.56 spl5880_1423),
% 58.13/9.56 inference(avatar_split_clause,[],[f65732,f85677])).
% 58.13/9.56 tff(f65732,plain,(
% 58.13/9.56 sn96 = lG1832(summary,h93)),
% 58.13/9.56 inference(definition_unfolding,[],[f49266,f46124])).
% 58.13/9.56 tff(f49266,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h93) = sn96),
% 58.13/9.56 inference(cnf_transformation,[],[f9838])).
% 58.13/9.56 tff(f9838,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h93) = sn96),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85675,plain,(
% 58.13/9.56 spl5880_1422),
% 58.13/9.56 inference(avatar_split_clause,[],[f65731,f85672])).
% 58.13/9.56 tff(f65731,plain,(
% 58.13/9.56 maxs97 = lG1842(sn96)),
% 58.13/9.56 inference(definition_unfolding,[],[f49265,f46107])).
% 58.13/9.56 tff(f49265,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn96) = maxs97),
% 58.13/9.56 inference(cnf_transformation,[],[f9839])).
% 58.13/9.56 tff(f9839,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn96) = maxs97),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85670,plain,(
% 58.13/9.56 spl5880_1421),
% 58.13/9.56 inference(avatar_split_clause,[],[f65723,f85667])).
% 58.13/9.56 tff(f65723,plain,(
% 58.13/9.56 maxs77 = lG1842(sn76)),
% 58.13/9.56 inference(definition_unfolding,[],[f49248,f46107])).
% 58.13/9.56 tff(f49248,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn76) = maxs77),
% 58.13/9.56 inference(cnf_transformation,[],[f9851])).
% 58.13/9.56 tff(f9851,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn76) = maxs77),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85665,plain,(
% 58.13/9.56 spl5880_1420 | ~spl5880_1419),
% 58.13/9.56 inference(avatar_split_clause,[],[f85660,f85656,f85662])).
% 58.13/9.56 tff(f85656,plain,(
% 58.13/9.56 spl5880_1419 <=> sn82 = lG1832(summary,h79)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1419])])).
% 58.13/9.56 tff(f85660,plain,(
% 58.13/9.56 sn76 = sn82 | ~spl5880_1419),
% 58.13/9.56 inference(forward_demodulation,[],[f85658,f69710])).
% 58.13/9.56 tff(f85658,plain,(
% 58.13/9.56 sn82 = lG1832(summary,h79) | ~spl5880_1419),
% 58.13/9.56 inference(avatar_component_clause,[],[f85656])).
% 58.13/9.56 tff(f85659,plain,(
% 58.13/9.56 spl5880_1419),
% 58.13/9.56 inference(avatar_split_clause,[],[f65715,f85656])).
% 58.13/9.56 tff(f65715,plain,(
% 58.13/9.56 sn82 = lG1832(summary,h79)),
% 58.13/9.56 inference(definition_unfolding,[],[f49233,f46124])).
% 58.13/9.56 tff(f49233,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h79) = sn82),
% 58.13/9.56 inference(cnf_transformation,[],[f9863])).
% 58.13/9.56 tff(f9863,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h79) = sn82),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85654,plain,(
% 58.13/9.56 spl5880_1418),
% 58.13/9.56 inference(avatar_split_clause,[],[f65714,f85651])).
% 58.13/9.56 tff(f65714,plain,(
% 58.13/9.56 maxs83 = lG1842(sn82)),
% 58.13/9.56 inference(definition_unfolding,[],[f49232,f46107])).
% 58.13/9.56 tff(f49232,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn82) = maxs83),
% 58.13/9.56 inference(cnf_transformation,[],[f9864])).
% 58.13/9.56 tff(f9864,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn82) = maxs83),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85649,plain,(
% 58.13/9.56 spl5880_1417),
% 58.13/9.56 inference(avatar_split_clause,[],[f65710,f85646])).
% 58.13/9.56 tff(f65710,plain,(
% 58.13/9.56 sn89 = lG1832(summary,h86)),
% 58.13/9.56 inference(definition_unfolding,[],[f49212,f46124])).
% 58.13/9.56 tff(f49212,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h86) = sn89),
% 58.13/9.56 inference(cnf_transformation,[],[f9879])).
% 58.13/9.56 tff(f9879,plain,(
% 58.13/9.56 vEBT_vebt_delete(summary,h86) = sn89),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85644,plain,(
% 58.13/9.56 spl5880_1416),
% 58.13/9.56 inference(avatar_split_clause,[],[f65709,f85641])).
% 58.13/9.56 tff(f65709,plain,(
% 58.13/9.56 maxs90 = lG1842(sn89)),
% 58.13/9.56 inference(definition_unfolding,[],[f49211,f46107])).
% 58.13/9.56 tff(f49211,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn89) = maxs90),
% 58.13/9.56 inference(cnf_transformation,[],[f9880])).
% 58.13/9.56 tff(f9880,plain,(
% 58.13/9.56 vEBT_vebt_maxt(sn89) = maxs90),
% 58.13/9.56 introduced(fool_let_definition,[])).
% 58.13/9.56 tff(f85639,plain,(
% 58.13/9.56 spl5880_1415),
% 58.13/9.56 inference(avatar_split_clause,[],[f65286,f85637])).
% 58.13/9.56 tff(f85637,plain,(
% 58.13/9.56 spl5880_1415 <=> ! [X0 : num] : lG1586(X0) = lG1553(X0)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1415])])).
% 58.13/9.56 tff(f85635,plain,(
% 58.13/9.56 spl5880_1414 | ~spl5880_187 | ~spl5880_789),
% 58.13/9.56 inference(avatar_split_clause,[],[f85142,f82324,f79378,f85632])).
% 58.13/9.56 tff(f85632,plain,(
% 58.13/9.56 spl5880_1414 <=> sP1902(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1414])])).
% 58.13/9.56 tff(f85142,plain,(
% 58.13/9.56 sP1902(real) | (~spl5880_187 | ~spl5880_789)),
% 58.13/9.56 inference(resolution,[],[f82325,f79380])).
% 58.13/9.56 tff(f85630,plain,(
% 58.13/9.56 spl5880_1413),
% 58.13/9.56 inference(avatar_split_clause,[],[f57590,f85628])).
% 58.13/9.56 tff(f85628,plain,(
% 58.13/9.56 spl5880_1413 <=> ! [X1 : $tType,X0 : $tType] : (sP2007(X0,X1) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1413])])).
% 58.13/9.56 tff(f57590,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X0 : $tType] : (sP2007(X0,X1) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f37215])).
% 58.13/9.56 tff(f37215,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (sP2007(X0,X1) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.56 inference(definition_folding,[],[f33447,f37214,f37213])).
% 58.13/9.56 tff(f37214,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,$o),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (eventually(X1,X2,filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5))) <=> sP2006(X1,X0,X2,X4,X5,X3)) | ~sP2007(X0,X1))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2007])])).
% 58.13/9.56 tff(f33447,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,$o),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (eventually(X1,X2,filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5))) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (($true = aa(X1,$o,X2,X7)) | ~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),insert(X0,X4),bot_bot(set(X0)))))) & member(X0,X4,X6) & topolo1002775350975398744n_open(X0,X6))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.56 inference(ennf_transformation,[],[f15108])).
% 58.13/9.56 tff(f15108,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(X0) => ! [X2 : fun(X1,$o),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (eventually(X1,X2,filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5))) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (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),insert(X0,X4),bot_bot(set(X0))))) => ($true = aa(X1,$o,X2,X7))) & member(X0,X4,X6) & topolo1002775350975398744n_open(X0,X6))))),
% 58.13/9.56 inference(fool_elimination,[],[f15107])).
% 58.13/9.56 tff(f15107,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(X0) => ! [X2 : fun(X1,$o),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (eventually(X1,X2,filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5))) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (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),insert(X0,X4),bot_bot(set(X0))))) => aa(X1,$o,X2,X7)) & member(X0,X4,X6) & topolo1002775350975398744n_open(X0,X6))))),
% 58.13/9.56 inference(rectify,[],[f6780])).
% 58.13/9.56 tff(f6780,axiom,(
% 58.13/9.56 ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(X1) => ! [X26 : fun(X0,$o),X30 : fun(X0,X1),X27 : X1,X75 : set(X1)] : (eventually(X0,X26,filtercomap(X0,X1,X30,topolo174197925503356063within(X1,X27,X75))) <=> ? [X350 : set(X1)] : (! [X65 : X0] : (member(X1,aa(X0,X1,X30,X65),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)),X350),X75)),aa(set(X1),set(X1),insert(X1,X27),bot_bot(set(X1))))) => aa(X0,$o,X26,X65)) & member(X1,X27,X350) & topolo1002775350975398744n_open(X1,X350))))),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6779_eventually__filtercomap__at__topological)).
% 58.13/9.56 tff(f85626,plain,(
% 58.13/9.56 spl5880_1412),
% 58.13/9.56 inference(avatar_split_clause,[],[f57433,f85624])).
% 58.13/9.56 tff(f85624,plain,(
% 58.13/9.56 spl5880_1412 <=> ! [X1 : $tType,X0 : $tType] : (sP2000(X0,X1) | ~topolo2564578578187576103pology(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1412])])).
% 58.13/9.56 tff(f57433,plain,(
% 58.13/9.56 ( ! [X1 : $tType,X0 : $tType] : (sP2000(X0,X1) | ~topolo2564578578187576103pology(X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f37202])).
% 58.13/9.56 tff(f37202,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (sP2000(X0,X1) | ~topolo2564578578187576103pology(X0))),
% 58.13/9.56 inference(definition_folding,[],[f33319,f37201,f37200])).
% 58.13/9.56 tff(f37200,plain,(
% 58.13/9.56 ! [X4 : filter(X1),X2 : fun(X1,X0),X1 : $tType,X0 : $tType,X3 : X0] : (sP1999(X1,X0,X4,X2,X3) <=> (! [X5 : X0] : (eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wk(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X5),X4) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X5))) & ! [X6 : X0] : (eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wl(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X6),X4) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X3)))))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1999])])).
% 58.13/9.56 tff(f33319,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> (! [X5 : X0] : (eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wk(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X5),X4) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X5))) & ! [X6 : X0] : (eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wl(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X6),X4) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X3))))) | ~topolo2564578578187576103pology(X0))),
% 58.13/9.56 inference(ennf_transformation,[],[f14964])).
% 58.13/9.56 tff(f14964,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (topolo2564578578187576103pology(X0) => ! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> (! [X5 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X5)) => eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wk(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X5),X4)) & ! [X6 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X3)) => eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wl(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X6),X4)))))),
% 58.13/9.56 inference(fool_elimination,[],[f14963])).
% 58.13/9.56 tff(f14963,plain,(
% 58.13/9.56 ! [X0 : $tType,X1 : $tType] : (topolo2564578578187576103pology(X0) => ! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> (! [X5 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X5) => eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wk(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X5),X4)) & ! [X6 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X6),X3) => eventually(X1,aa(X0,fun(X1,$o),aTP_Lamp_wl(fun(X1,X0),fun(X0,fun(X1,$o)),X2),X6),X4)))))),
% 58.13/9.56 inference(rectify,[],[f6490])).
% 58.13/9.56 tff(f6490,axiom,(
% 58.13/9.56 ! [X1 : $tType,X0 : $tType] : (topolo2564578578187576103pology(X1) => ! [X30 : fun(X0,X1),X9 : X1,X214 : filter(X0)] : (filterlim(X0,X1,X30,topolo7230453075368039082e_nhds(X1,X9),X214) <=> (! [X361 : X1] : (aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X9),X361) => eventually(X0,aa(X1,fun(X0,$o),aTP_Lamp_wk(fun(X0,X1),fun(X1,fun(X0,$o)),X30),X361),X214)) & ! [X270 : X1] : (aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),X270),X9) => eventually(X0,aa(X1,fun(X0,$o),aTP_Lamp_wl(fun(X0,X1),fun(X1,fun(X0,$o)),X30),X270),X214)))))),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6489_order__tendsto__iff)).
% 58.13/9.56 tff(f85622,plain,(
% 58.13/9.56 spl5880_1411),
% 58.13/9.56 inference(avatar_split_clause,[],[f50216,f85620])).
% 58.13/9.56 tff(f85620,plain,(
% 58.13/9.56 spl5880_1411 <=> ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1411])])).
% 58.13/9.56 tff(f50216,plain,(
% 58.13/9.56 ( ! [X0 : set(nat)] : (inj_on(nat,nat,suc,X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f22747])).
% 58.13/9.56 tff(f22747,plain,(
% 58.13/9.56 ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 58.13/9.56 inference(rectify,[],[f6988])).
% 58.13/9.56 tff(f6988,axiom,(
% 58.13/9.56 ! [X95 : set(nat)] : inj_on(nat,nat,suc,X95)),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6987_inj__Suc)).
% 58.13/9.56 tff(f85618,plain,(
% 58.13/9.56 spl5880_1410),
% 58.13/9.56 inference(avatar_split_clause,[],[f50215,f85616])).
% 58.13/9.56 tff(f85616,plain,(
% 58.13/9.56 spl5880_1410 <=> ! [X0 : num] : pow(X0,one2) = X0),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1410])])).
% 58.13/9.56 tff(f50215,plain,(
% 58.13/9.56 ( ! [X0 : num] : (pow(X0,one2) = X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f22746])).
% 58.13/9.56 tff(f22746,plain,(
% 58.13/9.56 ! [X0 : num] : pow(X0,one2) = X0),
% 58.13/9.56 inference(rectify,[],[f4783])).
% 58.13/9.56 tff(f4783,axiom,(
% 58.13/9.56 ! [X9 : num] : pow(X9,one2) = X9),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4782_pow_Osimps_I1_J)).
% 58.13/9.56 tff(f85614,plain,(
% 58.13/9.56 spl5880_1409),
% 58.13/9.56 inference(avatar_split_clause,[],[f50006,f85611])).
% 58.13/9.56 tff(f85609,plain,(
% 58.13/9.56 spl5880_1408),
% 58.13/9.56 inference(avatar_split_clause,[],[f50004,f85606])).
% 58.13/9.56 tff(f85604,plain,(
% 58.13/9.56 spl5880_1407),
% 58.13/9.56 inference(avatar_split_clause,[],[f50002,f85601])).
% 58.13/9.56 tff(f85601,plain,(
% 58.13/9.56 spl5880_1407 <=> one2 = bit_or_not_num_neg(one2,one2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1407])])).
% 58.13/9.56 tff(f50002,plain,(
% 58.13/9.56 one2 = bit_or_not_num_neg(one2,one2)),
% 58.13/9.56 inference(cnf_transformation,[],[f4812])).
% 58.13/9.56 tff(f4812,axiom,(
% 58.13/9.56 one2 = bit_or_not_num_neg(one2,one2)),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4811_or__not__num__neg_Osimps_I1_J)).
% 58.13/9.56 tff(f85598,plain,(
% 58.13/9.56 ~spl5880_1406),
% 58.13/9.56 inference(avatar_split_clause,[],[f50000,f85595])).
% 58.13/9.56 tff(f50000,plain,(
% 58.13/9.56 zero_zero(extended_enat) != one_one(extended_enat)),
% 58.13/9.56 inference(cnf_transformation,[],[f1690])).
% 58.13/9.56 tff(f1690,axiom,(
% 58.13/9.56 zero_zero(extended_enat) != one_one(extended_enat)),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1689_zero__one__enat__neq_I1_J)).
% 58.13/9.56 tff(f85593,plain,(
% 58.13/9.56 spl5880_1405 | ~spl5880_182 | ~spl5880_789),
% 58.13/9.56 inference(avatar_split_clause,[],[f85141,f82324,f79353,f85590])).
% 58.13/9.56 tff(f85590,plain,(
% 58.13/9.56 spl5880_1405 <=> sP1902(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1405])])).
% 58.13/9.56 tff(f85141,plain,(
% 58.13/9.56 sP1902(code_integer) | (~spl5880_182 | ~spl5880_789)),
% 58.13/9.56 inference(resolution,[],[f82325,f79355])).
% 58.13/9.56 tff(f85588,plain,(
% 58.13/9.56 spl5880_1404 | ~spl5880_186 | ~spl5880_788),
% 58.13/9.56 inference(avatar_split_clause,[],[f85140,f82320,f79373,f85585])).
% 58.13/9.56 tff(f85585,plain,(
% 58.13/9.56 spl5880_1404 <=> sP1900(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1404])])).
% 58.13/9.56 tff(f82320,plain,(
% 58.13/9.56 spl5880_788 <=> ! [X0 : $tType] : (sP1900(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_788])])).
% 58.13/9.56 tff(f85140,plain,(
% 58.13/9.56 sP1900(int) | (~spl5880_186 | ~spl5880_788)),
% 58.13/9.56 inference(resolution,[],[f82321,f79375])).
% 58.13/9.56 tff(f82321,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1900(X0)) ) | ~spl5880_788),
% 58.13/9.56 inference(avatar_component_clause,[],[f82320])).
% 58.13/9.56 tff(f85583,plain,(
% 58.13/9.56 spl5880_1403 | ~spl5880_183 | ~spl5880_788),
% 58.13/9.56 inference(avatar_split_clause,[],[f85139,f82320,f79358,f85580])).
% 58.13/9.56 tff(f85580,plain,(
% 58.13/9.56 spl5880_1403 <=> sP1900(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1403])])).
% 58.13/9.56 tff(f85139,plain,(
% 58.13/9.56 sP1900(rat) | (~spl5880_183 | ~spl5880_788)),
% 58.13/9.56 inference(resolution,[],[f82321,f79360])).
% 58.13/9.56 tff(f85578,plain,(
% 58.13/9.56 spl5880_1402 | ~spl5880_187 | ~spl5880_788),
% 58.13/9.56 inference(avatar_split_clause,[],[f85138,f82320,f79378,f85575])).
% 58.13/9.56 tff(f85575,plain,(
% 58.13/9.56 spl5880_1402 <=> sP1900(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1402])])).
% 58.13/9.56 tff(f85138,plain,(
% 58.13/9.56 sP1900(real) | (~spl5880_187 | ~spl5880_788)),
% 58.13/9.56 inference(resolution,[],[f82321,f79380])).
% 58.13/9.56 tff(f85573,plain,(
% 58.13/9.56 spl5880_1401 | ~spl5880_182 | ~spl5880_788),
% 58.13/9.56 inference(avatar_split_clause,[],[f85137,f82320,f79353,f85570])).
% 58.13/9.56 tff(f85570,plain,(
% 58.13/9.56 spl5880_1401 <=> sP1900(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1401])])).
% 58.13/9.56 tff(f85137,plain,(
% 58.13/9.56 sP1900(code_integer) | (~spl5880_182 | ~spl5880_788)),
% 58.13/9.56 inference(resolution,[],[f82321,f79355])).
% 58.13/9.56 tff(f85568,plain,(
% 58.13/9.56 spl5880_1400 | ~spl5880_186 | ~spl5880_787),
% 58.13/9.56 inference(avatar_split_clause,[],[f85131,f82316,f79373,f85565])).
% 58.13/9.56 tff(f85565,plain,(
% 58.13/9.56 spl5880_1400 <=> sP1898(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1400])])).
% 58.13/9.56 tff(f82316,plain,(
% 58.13/9.56 spl5880_787 <=> ! [X0 : $tType] : (sP1898(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_787])])).
% 58.13/9.56 tff(f85131,plain,(
% 58.13/9.56 sP1898(int) | (~spl5880_186 | ~spl5880_787)),
% 58.13/9.56 inference(resolution,[],[f82317,f79375])).
% 58.13/9.56 tff(f82317,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1898(X0)) ) | ~spl5880_787),
% 58.13/9.56 inference(avatar_component_clause,[],[f82316])).
% 58.13/9.56 tff(f85563,plain,(
% 58.13/9.56 spl5880_1399 | ~spl5880_183 | ~spl5880_787),
% 58.13/9.56 inference(avatar_split_clause,[],[f85130,f82316,f79358,f85560])).
% 58.13/9.56 tff(f85560,plain,(
% 58.13/9.56 spl5880_1399 <=> sP1898(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1399])])).
% 58.13/9.56 tff(f85130,plain,(
% 58.13/9.56 sP1898(rat) | (~spl5880_183 | ~spl5880_787)),
% 58.13/9.56 inference(resolution,[],[f82317,f79360])).
% 58.13/9.56 tff(f85558,plain,(
% 58.13/9.56 spl5880_1398 | ~spl5880_187 | ~spl5880_787),
% 58.13/9.56 inference(avatar_split_clause,[],[f85129,f82316,f79378,f85555])).
% 58.13/9.56 tff(f85555,plain,(
% 58.13/9.56 spl5880_1398 <=> sP1898(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1398])])).
% 58.13/9.56 tff(f85129,plain,(
% 58.13/9.56 sP1898(real) | (~spl5880_187 | ~spl5880_787)),
% 58.13/9.56 inference(resolution,[],[f82317,f79380])).
% 58.13/9.56 tff(f85553,plain,(
% 58.13/9.56 spl5880_1397 | ~spl5880_182 | ~spl5880_787),
% 58.13/9.56 inference(avatar_split_clause,[],[f85128,f82316,f79353,f85550])).
% 58.13/9.56 tff(f85550,plain,(
% 58.13/9.56 spl5880_1397 <=> sP1898(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1397])])).
% 58.13/9.56 tff(f85128,plain,(
% 58.13/9.56 sP1898(code_integer) | (~spl5880_182 | ~spl5880_787)),
% 58.13/9.56 inference(resolution,[],[f82317,f79355])).
% 58.13/9.56 tff(f85548,plain,(
% 58.13/9.56 spl5880_1396 | ~spl5880_186 | ~spl5880_786),
% 58.13/9.56 inference(avatar_split_clause,[],[f85127,f82312,f79373,f85545])).
% 58.13/9.56 tff(f85545,plain,(
% 58.13/9.56 spl5880_1396 <=> sP1896(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1396])])).
% 58.13/9.56 tff(f82312,plain,(
% 58.13/9.56 spl5880_786 <=> ! [X0 : $tType] : (sP1896(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_786])])).
% 58.13/9.56 tff(f85127,plain,(
% 58.13/9.56 sP1896(int) | (~spl5880_186 | ~spl5880_786)),
% 58.13/9.56 inference(resolution,[],[f82313,f79375])).
% 58.13/9.56 tff(f82313,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP1896(X0)) ) | ~spl5880_786),
% 58.13/9.56 inference(avatar_component_clause,[],[f82312])).
% 58.13/9.56 tff(f85543,plain,(
% 58.13/9.56 spl5880_1395 | ~spl5880_183 | ~spl5880_786),
% 58.13/9.56 inference(avatar_split_clause,[],[f85126,f82312,f79358,f85540])).
% 58.13/9.56 tff(f85540,plain,(
% 58.13/9.56 spl5880_1395 <=> sP1896(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1395])])).
% 58.13/9.56 tff(f85126,plain,(
% 58.13/9.56 sP1896(rat) | (~spl5880_183 | ~spl5880_786)),
% 58.13/9.56 inference(resolution,[],[f82313,f79360])).
% 58.13/9.56 tff(f85538,plain,(
% 58.13/9.56 spl5880_1394 | ~spl5880_187 | ~spl5880_786),
% 58.13/9.56 inference(avatar_split_clause,[],[f85125,f82312,f79378,f85535])).
% 58.13/9.56 tff(f85535,plain,(
% 58.13/9.56 spl5880_1394 <=> sP1896(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1394])])).
% 58.13/9.56 tff(f85125,plain,(
% 58.13/9.56 sP1896(real) | (~spl5880_187 | ~spl5880_786)),
% 58.13/9.56 inference(resolution,[],[f82313,f79380])).
% 58.13/9.56 tff(f85533,plain,(
% 58.13/9.56 spl5880_1393 | ~spl5880_182 | ~spl5880_786),
% 58.13/9.56 inference(avatar_split_clause,[],[f85124,f82312,f79353,f85530])).
% 58.13/9.56 tff(f85530,plain,(
% 58.13/9.56 spl5880_1393 <=> sP1896(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1393])])).
% 58.13/9.56 tff(f85124,plain,(
% 58.13/9.56 sP1896(code_integer) | (~spl5880_182 | ~spl5880_786)),
% 58.13/9.56 inference(resolution,[],[f82313,f79355])).
% 58.13/9.56 tff(f85528,plain,(
% 58.13/9.56 spl5880_1392 | ~spl5880_115 | ~spl5880_785),
% 58.13/9.56 inference(avatar_split_clause,[],[f85123,f82308,f79018,f85525])).
% 58.13/9.56 tff(f85525,plain,(
% 58.13/9.56 spl5880_1392 <=> sP1893(nat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1392])])).
% 58.13/9.56 tff(f79018,plain,(
% 58.13/9.56 spl5880_115 <=> bit_semiring_bits(nat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_115])])).
% 58.13/9.56 tff(f82308,plain,(
% 58.13/9.56 spl5880_785 <=> ! [X0 : $tType] : (sP1893(X0) | ~bit_semiring_bits(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_785])])).
% 58.13/9.56 tff(f85123,plain,(
% 58.13/9.56 sP1893(nat) | (~spl5880_115 | ~spl5880_785)),
% 58.13/9.56 inference(resolution,[],[f82309,f79020])).
% 58.13/9.56 tff(f79020,plain,(
% 58.13/9.56 bit_semiring_bits(nat) | ~spl5880_115),
% 58.13/9.56 inference(avatar_component_clause,[],[f79018])).
% 58.13/9.56 tff(f82309,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~bit_semiring_bits(X0) | sP1893(X0)) ) | ~spl5880_785),
% 58.13/9.56 inference(avatar_component_clause,[],[f82308])).
% 58.13/9.56 tff(f85523,plain,(
% 58.13/9.56 spl5880_1391 | ~spl5880_114 | ~spl5880_785),
% 58.13/9.56 inference(avatar_split_clause,[],[f85122,f82308,f79013,f85520])).
% 58.13/9.56 tff(f85520,plain,(
% 58.13/9.56 spl5880_1391 <=> sP1893(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1391])])).
% 58.13/9.56 tff(f79013,plain,(
% 58.13/9.56 spl5880_114 <=> bit_semiring_bits(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_114])])).
% 58.13/9.56 tff(f85122,plain,(
% 58.13/9.56 sP1893(int) | (~spl5880_114 | ~spl5880_785)),
% 58.13/9.56 inference(resolution,[],[f82309,f79015])).
% 58.13/9.56 tff(f79015,plain,(
% 58.13/9.56 bit_semiring_bits(int) | ~spl5880_114),
% 58.13/9.56 inference(avatar_component_clause,[],[f79013])).
% 58.13/9.56 tff(f85518,plain,(
% 58.13/9.56 spl5880_1390 | ~spl5880_113 | ~spl5880_785),
% 58.13/9.56 inference(avatar_split_clause,[],[f85121,f82308,f79008,f85515])).
% 58.13/9.56 tff(f85515,plain,(
% 58.13/9.56 spl5880_1390 <=> sP1893(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1390])])).
% 58.13/9.56 tff(f79008,plain,(
% 58.13/9.56 spl5880_113 <=> bit_semiring_bits(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_113])])).
% 58.13/9.56 tff(f85121,plain,(
% 58.13/9.56 sP1893(code_integer) | (~spl5880_113 | ~spl5880_785)),
% 58.13/9.56 inference(resolution,[],[f82309,f79010])).
% 58.13/9.56 tff(f79010,plain,(
% 58.13/9.56 bit_semiring_bits(code_integer) | ~spl5880_113),
% 58.13/9.56 inference(avatar_component_clause,[],[f79008])).
% 58.13/9.56 tff(f85513,plain,(
% 58.13/9.56 spl5880_1389 | ~spl5880_115 | ~spl5880_784),
% 58.13/9.56 inference(avatar_split_clause,[],[f85120,f82304,f79018,f85510])).
% 58.13/9.56 tff(f85510,plain,(
% 58.13/9.56 spl5880_1389 <=> sP1890(nat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1389])])).
% 58.13/9.56 tff(f82304,plain,(
% 58.13/9.56 spl5880_784 <=> ! [X0 : $tType] : (sP1890(X0) | ~bit_semiring_bits(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_784])])).
% 58.13/9.56 tff(f85120,plain,(
% 58.13/9.56 sP1890(nat) | (~spl5880_115 | ~spl5880_784)),
% 58.13/9.56 inference(resolution,[],[f82305,f79020])).
% 58.13/9.56 tff(f82305,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~bit_semiring_bits(X0) | sP1890(X0)) ) | ~spl5880_784),
% 58.13/9.56 inference(avatar_component_clause,[],[f82304])).
% 58.13/9.56 tff(f85508,plain,(
% 58.13/9.56 spl5880_1388 | ~spl5880_114 | ~spl5880_784),
% 58.13/9.56 inference(avatar_split_clause,[],[f85119,f82304,f79013,f85505])).
% 58.13/9.56 tff(f85505,plain,(
% 58.13/9.56 spl5880_1388 <=> sP1890(int)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1388])])).
% 58.13/9.56 tff(f85119,plain,(
% 58.13/9.56 sP1890(int) | (~spl5880_114 | ~spl5880_784)),
% 58.13/9.56 inference(resolution,[],[f82305,f79015])).
% 58.13/9.56 tff(f85503,plain,(
% 58.13/9.56 spl5880_1387 | ~spl5880_113 | ~spl5880_784),
% 58.13/9.56 inference(avatar_split_clause,[],[f85118,f82304,f79008,f85500])).
% 58.13/9.56 tff(f85500,plain,(
% 58.13/9.56 spl5880_1387 <=> sP1890(code_integer)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1387])])).
% 58.13/9.56 tff(f85118,plain,(
% 58.13/9.56 sP1890(code_integer) | (~spl5880_113 | ~spl5880_784)),
% 58.13/9.56 inference(resolution,[],[f82305,f79010])).
% 58.13/9.56 tff(f85498,plain,(
% 58.13/9.56 spl5880_1386 | ~spl5880_82 | ~spl5880_783),
% 58.13/9.56 inference(avatar_split_clause,[],[f85117,f82300,f78853,f85495])).
% 58.13/9.56 tff(f85495,plain,(
% 58.13/9.56 spl5880_1386 <=> sP1887(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1386])])).
% 58.13/9.56 tff(f78853,plain,(
% 58.13/9.56 spl5880_82 <=> real_V822414075346904944vector(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_82])])).
% 58.13/9.56 tff(f82300,plain,(
% 58.13/9.56 spl5880_783 <=> ! [X0 : $tType] : (sP1887(X0) | ~real_V822414075346904944vector(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_783])])).
% 58.13/9.56 tff(f85117,plain,(
% 58.13/9.56 sP1887(real) | (~spl5880_82 | ~spl5880_783)),
% 58.13/9.56 inference(resolution,[],[f82301,f78855])).
% 58.13/9.56 tff(f78855,plain,(
% 58.13/9.56 real_V822414075346904944vector(real) | ~spl5880_82),
% 58.13/9.56 inference(avatar_component_clause,[],[f78853])).
% 58.13/9.56 tff(f82301,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V822414075346904944vector(X0) | sP1887(X0)) ) | ~spl5880_783),
% 58.13/9.56 inference(avatar_component_clause,[],[f82300])).
% 58.13/9.56 tff(f85493,plain,(
% 58.13/9.56 spl5880_1385 | ~spl5880_81 | ~spl5880_783),
% 58.13/9.56 inference(avatar_split_clause,[],[f85116,f82300,f78848,f85490])).
% 58.13/9.56 tff(f85490,plain,(
% 58.13/9.56 spl5880_1385 <=> sP1887(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1385])])).
% 58.13/9.56 tff(f78848,plain,(
% 58.13/9.56 spl5880_81 <=> real_V822414075346904944vector(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_81])])).
% 58.13/9.56 tff(f85116,plain,(
% 58.13/9.56 sP1887(complex) | (~spl5880_81 | ~spl5880_783)),
% 58.13/9.56 inference(resolution,[],[f82301,f78850])).
% 58.13/9.56 tff(f78850,plain,(
% 58.13/9.56 real_V822414075346904944vector(complex) | ~spl5880_81),
% 58.13/9.56 inference(avatar_component_clause,[],[f78848])).
% 58.13/9.56 tff(f85488,plain,(
% 58.13/9.56 spl5880_1384 | ~spl5880_76 | ~spl5880_782),
% 58.13/9.56 inference(avatar_split_clause,[],[f85115,f82296,f78823,f85485])).
% 58.13/9.56 tff(f85485,plain,(
% 58.13/9.56 spl5880_1384 <=> sP1885(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1384])])).
% 58.13/9.56 tff(f82296,plain,(
% 58.13/9.56 spl5880_782 <=> ! [X0 : $tType] : (sP1885(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_782])])).
% 58.13/9.56 tff(f85115,plain,(
% 58.13/9.56 sP1885(real) | (~spl5880_76 | ~spl5880_782)),
% 58.13/9.56 inference(resolution,[],[f82297,f78825])).
% 58.13/9.56 tff(f78825,plain,(
% 58.13/9.56 linordered_field(real) | ~spl5880_76),
% 58.13/9.56 inference(avatar_component_clause,[],[f78823])).
% 58.13/9.56 tff(f82297,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1885(X0)) ) | ~spl5880_782),
% 58.13/9.56 inference(avatar_component_clause,[],[f82296])).
% 58.13/9.56 tff(f85483,plain,(
% 58.13/9.56 spl5880_1383 | ~spl5880_75 | ~spl5880_782),
% 58.13/9.56 inference(avatar_split_clause,[],[f85114,f82296,f78818,f85480])).
% 58.13/9.56 tff(f85480,plain,(
% 58.13/9.56 spl5880_1383 <=> sP1885(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1383])])).
% 58.13/9.56 tff(f78818,plain,(
% 58.13/9.56 spl5880_75 <=> linordered_field(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_75])])).
% 58.13/9.56 tff(f85114,plain,(
% 58.13/9.56 sP1885(rat) | (~spl5880_75 | ~spl5880_782)),
% 58.13/9.56 inference(resolution,[],[f82297,f78820])).
% 58.13/9.56 tff(f78820,plain,(
% 58.13/9.56 linordered_field(rat) | ~spl5880_75),
% 58.13/9.56 inference(avatar_component_clause,[],[f78818])).
% 58.13/9.56 tff(f85478,plain,(
% 58.13/9.56 spl5880_1382 | ~spl5880_76 | ~spl5880_781),
% 58.13/9.56 inference(avatar_split_clause,[],[f85113,f82292,f78823,f85475])).
% 58.13/9.56 tff(f85475,plain,(
% 58.13/9.56 spl5880_1382 <=> sP1883(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1382])])).
% 58.13/9.56 tff(f82292,plain,(
% 58.13/9.56 spl5880_781 <=> ! [X0 : $tType] : (sP1883(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_781])])).
% 58.13/9.56 tff(f85113,plain,(
% 58.13/9.56 sP1883(real) | (~spl5880_76 | ~spl5880_781)),
% 58.13/9.56 inference(resolution,[],[f82293,f78825])).
% 58.13/9.56 tff(f82293,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1883(X0)) ) | ~spl5880_781),
% 58.13/9.56 inference(avatar_component_clause,[],[f82292])).
% 58.13/9.56 tff(f85473,plain,(
% 58.13/9.56 spl5880_1381 | ~spl5880_75 | ~spl5880_781),
% 58.13/9.56 inference(avatar_split_clause,[],[f85112,f82292,f78818,f85470])).
% 58.13/9.56 tff(f85470,plain,(
% 58.13/9.56 spl5880_1381 <=> sP1883(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1381])])).
% 58.13/9.56 tff(f85112,plain,(
% 58.13/9.56 sP1883(rat) | (~spl5880_75 | ~spl5880_781)),
% 58.13/9.56 inference(resolution,[],[f82293,f78820])).
% 58.13/9.56 tff(f85468,plain,(
% 58.13/9.56 spl5880_1380 | ~spl5880_76 | ~spl5880_780),
% 58.13/9.56 inference(avatar_split_clause,[],[f85111,f82288,f78823,f85465])).
% 58.13/9.56 tff(f85465,plain,(
% 58.13/9.56 spl5880_1380 <=> sP1881(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1380])])).
% 58.13/9.56 tff(f82288,plain,(
% 58.13/9.56 spl5880_780 <=> ! [X0 : $tType] : (sP1881(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_780])])).
% 58.13/9.56 tff(f85111,plain,(
% 58.13/9.56 sP1881(real) | (~spl5880_76 | ~spl5880_780)),
% 58.13/9.56 inference(resolution,[],[f82289,f78825])).
% 58.13/9.56 tff(f82289,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1881(X0)) ) | ~spl5880_780),
% 58.13/9.56 inference(avatar_component_clause,[],[f82288])).
% 58.13/9.56 tff(f85463,plain,(
% 58.13/9.56 spl5880_1379 | ~spl5880_75 | ~spl5880_780),
% 58.13/9.56 inference(avatar_split_clause,[],[f85110,f82288,f78818,f85460])).
% 58.13/9.56 tff(f85460,plain,(
% 58.13/9.56 spl5880_1379 <=> sP1881(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1379])])).
% 58.13/9.56 tff(f85110,plain,(
% 58.13/9.56 sP1881(rat) | (~spl5880_75 | ~spl5880_780)),
% 58.13/9.56 inference(resolution,[],[f82289,f78820])).
% 58.13/9.56 tff(f85458,plain,(
% 58.13/9.56 spl5880_1378 | ~spl5880_76 | ~spl5880_779),
% 58.13/9.56 inference(avatar_split_clause,[],[f85109,f82284,f78823,f85455])).
% 58.13/9.56 tff(f85455,plain,(
% 58.13/9.56 spl5880_1378 <=> sP1879(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1378])])).
% 58.13/9.56 tff(f82284,plain,(
% 58.13/9.56 spl5880_779 <=> ! [X0 : $tType] : (sP1879(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_779])])).
% 58.13/9.56 tff(f85109,plain,(
% 58.13/9.56 sP1879(real) | (~spl5880_76 | ~spl5880_779)),
% 58.13/9.56 inference(resolution,[],[f82285,f78825])).
% 58.13/9.56 tff(f82285,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1879(X0)) ) | ~spl5880_779),
% 58.13/9.56 inference(avatar_component_clause,[],[f82284])).
% 58.13/9.56 tff(f85453,plain,(
% 58.13/9.56 spl5880_1377 | ~spl5880_75 | ~spl5880_779),
% 58.13/9.56 inference(avatar_split_clause,[],[f85108,f82284,f78818,f85450])).
% 58.13/9.56 tff(f85450,plain,(
% 58.13/9.56 spl5880_1377 <=> sP1879(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1377])])).
% 58.13/9.56 tff(f85108,plain,(
% 58.13/9.56 sP1879(rat) | (~spl5880_75 | ~spl5880_779)),
% 58.13/9.56 inference(resolution,[],[f82285,f78820])).
% 58.13/9.56 tff(f85448,plain,(
% 58.13/9.56 spl5880_1376 | ~spl5880_76 | ~spl5880_778),
% 58.13/9.56 inference(avatar_split_clause,[],[f85107,f82280,f78823,f85445])).
% 58.13/9.56 tff(f85445,plain,(
% 58.13/9.56 spl5880_1376 <=> sP1877(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1376])])).
% 58.13/9.56 tff(f82280,plain,(
% 58.13/9.56 spl5880_778 <=> ! [X0 : $tType] : (sP1877(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_778])])).
% 58.13/9.56 tff(f85107,plain,(
% 58.13/9.56 sP1877(real) | (~spl5880_76 | ~spl5880_778)),
% 58.13/9.56 inference(resolution,[],[f82281,f78825])).
% 58.13/9.56 tff(f82281,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1877(X0)) ) | ~spl5880_778),
% 58.13/9.56 inference(avatar_component_clause,[],[f82280])).
% 58.13/9.56 tff(f85443,plain,(
% 58.13/9.56 spl5880_1375 | ~spl5880_75 | ~spl5880_778),
% 58.13/9.56 inference(avatar_split_clause,[],[f85106,f82280,f78818,f85440])).
% 58.13/9.56 tff(f85440,plain,(
% 58.13/9.56 spl5880_1375 <=> sP1877(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1375])])).
% 58.13/9.56 tff(f85106,plain,(
% 58.13/9.56 sP1877(rat) | (~spl5880_75 | ~spl5880_778)),
% 58.13/9.56 inference(resolution,[],[f82281,f78820])).
% 58.13/9.56 tff(f85438,plain,(
% 58.13/9.56 spl5880_1374 | ~spl5880_76 | ~spl5880_777),
% 58.13/9.56 inference(avatar_split_clause,[],[f85100,f82276,f78823,f85435])).
% 58.13/9.56 tff(f85435,plain,(
% 58.13/9.56 spl5880_1374 <=> sP1875(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1374])])).
% 58.13/9.56 tff(f82276,plain,(
% 58.13/9.56 spl5880_777 <=> ! [X0 : $tType] : (sP1875(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_777])])).
% 58.13/9.56 tff(f85100,plain,(
% 58.13/9.56 sP1875(real) | (~spl5880_76 | ~spl5880_777)),
% 58.13/9.56 inference(resolution,[],[f82277,f78825])).
% 58.13/9.56 tff(f82277,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1875(X0)) ) | ~spl5880_777),
% 58.13/9.56 inference(avatar_component_clause,[],[f82276])).
% 58.13/9.56 tff(f85433,plain,(
% 58.13/9.56 spl5880_1373 | ~spl5880_75 | ~spl5880_777),
% 58.13/9.56 inference(avatar_split_clause,[],[f85099,f82276,f78818,f85430])).
% 58.13/9.56 tff(f85430,plain,(
% 58.13/9.56 spl5880_1373 <=> sP1875(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1373])])).
% 58.13/9.56 tff(f85099,plain,(
% 58.13/9.56 sP1875(rat) | (~spl5880_75 | ~spl5880_777)),
% 58.13/9.56 inference(resolution,[],[f82277,f78820])).
% 58.13/9.56 tff(f85428,plain,(
% 58.13/9.56 spl5880_1372 | ~spl5880_76 | ~spl5880_776),
% 58.13/9.56 inference(avatar_split_clause,[],[f85098,f82272,f78823,f85425])).
% 58.13/9.56 tff(f85425,plain,(
% 58.13/9.56 spl5880_1372 <=> sP1873(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1372])])).
% 58.13/9.56 tff(f82272,plain,(
% 58.13/9.56 spl5880_776 <=> ! [X0 : $tType] : (sP1873(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_776])])).
% 58.13/9.56 tff(f85098,plain,(
% 58.13/9.56 sP1873(real) | (~spl5880_76 | ~spl5880_776)),
% 58.13/9.56 inference(resolution,[],[f82273,f78825])).
% 58.13/9.56 tff(f82273,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1873(X0)) ) | ~spl5880_776),
% 58.13/9.56 inference(avatar_component_clause,[],[f82272])).
% 58.13/9.56 tff(f85423,plain,(
% 58.13/9.56 spl5880_1371 | ~spl5880_75 | ~spl5880_776),
% 58.13/9.56 inference(avatar_split_clause,[],[f85097,f82272,f78818,f85420])).
% 58.13/9.56 tff(f85420,plain,(
% 58.13/9.56 spl5880_1371 <=> sP1873(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1371])])).
% 58.13/9.56 tff(f85097,plain,(
% 58.13/9.56 sP1873(rat) | (~spl5880_75 | ~spl5880_776)),
% 58.13/9.56 inference(resolution,[],[f82273,f78820])).
% 58.13/9.56 tff(f85418,plain,(
% 58.13/9.56 spl5880_1370 | ~spl5880_76 | ~spl5880_775),
% 58.13/9.56 inference(avatar_split_clause,[],[f85096,f82268,f78823,f85415])).
% 58.13/9.56 tff(f85415,plain,(
% 58.13/9.56 spl5880_1370 <=> sP1871(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1370])])).
% 58.13/9.56 tff(f82268,plain,(
% 58.13/9.56 spl5880_775 <=> ! [X0 : $tType] : (sP1871(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_775])])).
% 58.13/9.56 tff(f85096,plain,(
% 58.13/9.56 sP1871(real) | (~spl5880_76 | ~spl5880_775)),
% 58.13/9.56 inference(resolution,[],[f82269,f78825])).
% 58.13/9.56 tff(f82269,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1871(X0)) ) | ~spl5880_775),
% 58.13/9.56 inference(avatar_component_clause,[],[f82268])).
% 58.13/9.56 tff(f85413,plain,(
% 58.13/9.56 spl5880_1369 | ~spl5880_75 | ~spl5880_775),
% 58.13/9.56 inference(avatar_split_clause,[],[f85095,f82268,f78818,f85410])).
% 58.13/9.56 tff(f85410,plain,(
% 58.13/9.56 spl5880_1369 <=> sP1871(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1369])])).
% 58.13/9.56 tff(f85095,plain,(
% 58.13/9.56 sP1871(rat) | (~spl5880_75 | ~spl5880_775)),
% 58.13/9.56 inference(resolution,[],[f82269,f78820])).
% 58.13/9.56 tff(f85408,plain,(
% 58.13/9.56 spl5880_1368 | ~spl5880_76 | ~spl5880_774),
% 58.13/9.56 inference(avatar_split_clause,[],[f85094,f82264,f78823,f85405])).
% 58.13/9.56 tff(f85405,plain,(
% 58.13/9.56 spl5880_1368 <=> sP1869(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1368])])).
% 58.13/9.56 tff(f82264,plain,(
% 58.13/9.56 spl5880_774 <=> ! [X0 : $tType] : (sP1869(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_774])])).
% 58.13/9.56 tff(f85094,plain,(
% 58.13/9.56 sP1869(real) | (~spl5880_76 | ~spl5880_774)),
% 58.13/9.56 inference(resolution,[],[f82265,f78825])).
% 58.13/9.56 tff(f82265,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1869(X0)) ) | ~spl5880_774),
% 58.13/9.56 inference(avatar_component_clause,[],[f82264])).
% 58.13/9.56 tff(f85403,plain,(
% 58.13/9.56 spl5880_1367 | ~spl5880_75 | ~spl5880_774),
% 58.13/9.56 inference(avatar_split_clause,[],[f85093,f82264,f78818,f85400])).
% 58.13/9.56 tff(f85400,plain,(
% 58.13/9.56 spl5880_1367 <=> sP1869(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1367])])).
% 58.13/9.56 tff(f85093,plain,(
% 58.13/9.56 sP1869(rat) | (~spl5880_75 | ~spl5880_774)),
% 58.13/9.56 inference(resolution,[],[f82265,f78820])).
% 58.13/9.56 tff(f85398,plain,(
% 58.13/9.56 spl5880_1366 | ~spl5880_76 | ~spl5880_773),
% 58.13/9.56 inference(avatar_split_clause,[],[f85092,f82260,f78823,f85395])).
% 58.13/9.56 tff(f85395,plain,(
% 58.13/9.56 spl5880_1366 <=> sP1867(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1366])])).
% 58.13/9.56 tff(f82260,plain,(
% 58.13/9.56 spl5880_773 <=> ! [X0 : $tType] : (sP1867(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_773])])).
% 58.13/9.56 tff(f85092,plain,(
% 58.13/9.56 sP1867(real) | (~spl5880_76 | ~spl5880_773)),
% 58.13/9.56 inference(resolution,[],[f82261,f78825])).
% 58.13/9.56 tff(f82261,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1867(X0)) ) | ~spl5880_773),
% 58.13/9.56 inference(avatar_component_clause,[],[f82260])).
% 58.13/9.56 tff(f85393,plain,(
% 58.13/9.56 spl5880_1365 | ~spl5880_75 | ~spl5880_773),
% 58.13/9.56 inference(avatar_split_clause,[],[f85091,f82260,f78818,f85390])).
% 58.13/9.56 tff(f85390,plain,(
% 58.13/9.56 spl5880_1365 <=> sP1867(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1365])])).
% 58.13/9.56 tff(f85091,plain,(
% 58.13/9.56 sP1867(rat) | (~spl5880_75 | ~spl5880_773)),
% 58.13/9.56 inference(resolution,[],[f82261,f78820])).
% 58.13/9.56 tff(f85388,plain,(
% 58.13/9.56 spl5880_1364 | ~spl5880_76 | ~spl5880_772),
% 58.13/9.56 inference(avatar_split_clause,[],[f85090,f82256,f78823,f85385])).
% 58.13/9.56 tff(f85385,plain,(
% 58.13/9.56 spl5880_1364 <=> sP1865(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1364])])).
% 58.13/9.56 tff(f82256,plain,(
% 58.13/9.56 spl5880_772 <=> ! [X0 : $tType] : (sP1865(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_772])])).
% 58.13/9.56 tff(f85090,plain,(
% 58.13/9.56 sP1865(real) | (~spl5880_76 | ~spl5880_772)),
% 58.13/9.56 inference(resolution,[],[f82257,f78825])).
% 58.13/9.56 tff(f82257,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1865(X0)) ) | ~spl5880_772),
% 58.13/9.56 inference(avatar_component_clause,[],[f82256])).
% 58.13/9.56 tff(f85383,plain,(
% 58.13/9.56 spl5880_1363 | ~spl5880_75 | ~spl5880_772),
% 58.13/9.56 inference(avatar_split_clause,[],[f85089,f82256,f78818,f85380])).
% 58.13/9.56 tff(f85380,plain,(
% 58.13/9.56 spl5880_1363 <=> sP1865(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1363])])).
% 58.13/9.56 tff(f85089,plain,(
% 58.13/9.56 sP1865(rat) | (~spl5880_75 | ~spl5880_772)),
% 58.13/9.56 inference(resolution,[],[f82257,f78820])).
% 58.13/9.56 tff(f85378,plain,(
% 58.13/9.56 spl5880_1362 | ~spl5880_76 | ~spl5880_771),
% 58.13/9.56 inference(avatar_split_clause,[],[f85088,f82252,f78823,f85375])).
% 58.13/9.56 tff(f85375,plain,(
% 58.13/9.56 spl5880_1362 <=> sP1863(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1362])])).
% 58.13/9.56 tff(f82252,plain,(
% 58.13/9.56 spl5880_771 <=> ! [X0 : $tType] : (sP1863(X0) | ~linordered_field(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_771])])).
% 58.13/9.56 tff(f85088,plain,(
% 58.13/9.56 sP1863(real) | (~spl5880_76 | ~spl5880_771)),
% 58.13/9.56 inference(resolution,[],[f82253,f78825])).
% 58.13/9.56 tff(f82253,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~linordered_field(X0) | sP1863(X0)) ) | ~spl5880_771),
% 58.13/9.56 inference(avatar_component_clause,[],[f82252])).
% 58.13/9.56 tff(f85373,plain,(
% 58.13/9.56 spl5880_1361 | ~spl5880_75 | ~spl5880_771),
% 58.13/9.56 inference(avatar_split_clause,[],[f85087,f82252,f78818,f85370])).
% 58.13/9.56 tff(f85370,plain,(
% 58.13/9.56 spl5880_1361 <=> sP1863(rat)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1361])])).
% 58.13/9.56 tff(f85087,plain,(
% 58.13/9.56 sP1863(rat) | (~spl5880_75 | ~spl5880_771)),
% 58.13/9.56 inference(resolution,[],[f82253,f78820])).
% 58.13/9.56 tff(f85368,plain,(
% 58.13/9.56 spl5880_1360 | ~spl5880_884),
% 58.13/9.56 inference(avatar_split_clause,[],[f82771,f82767,f85365])).
% 58.13/9.56 tff(f82767,plain,(
% 58.13/9.56 spl5880_884 <=> iG1477(one_one(nat),$true)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_884])])).
% 58.13/9.56 tff(f82771,plain,(
% 58.13/9.56 iG1477(iG1228($true),$true) | ~spl5880_884),
% 58.13/9.56 inference(forward_demodulation,[],[f82769,f67101])).
% 58.13/9.56 tff(f82769,plain,(
% 58.13/9.56 iG1477(one_one(nat),$true) | ~spl5880_884),
% 58.13/9.56 inference(avatar_component_clause,[],[f82767])).
% 58.13/9.56 tff(f85363,plain,(
% 58.13/9.56 spl5880_1359 | ~spl5880_64 | ~spl5880_770),
% 58.13/9.56 inference(avatar_split_clause,[],[f85086,f82248,f78763,f85360])).
% 58.13/9.56 tff(f85360,plain,(
% 58.13/9.56 spl5880_1359 <=> sP1861(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1359])])).
% 58.13/9.56 tff(f78763,plain,(
% 58.13/9.56 spl5880_64 <=> real_V7819770556892013058_space(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_64])])).
% 58.13/9.56 tff(f82248,plain,(
% 58.13/9.56 spl5880_770 <=> ! [X0 : $tType] : (sP1861(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_770])])).
% 58.13/9.56 tff(f85086,plain,(
% 58.13/9.56 sP1861(real) | (~spl5880_64 | ~spl5880_770)),
% 58.13/9.56 inference(resolution,[],[f82249,f78765])).
% 58.13/9.56 tff(f78765,plain,(
% 58.13/9.56 real_V7819770556892013058_space(real) | ~spl5880_64),
% 58.13/9.56 inference(avatar_component_clause,[],[f78763])).
% 58.13/9.56 tff(f82249,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP1861(X0)) ) | ~spl5880_770),
% 58.13/9.56 inference(avatar_component_clause,[],[f82248])).
% 58.13/9.56 tff(f85358,plain,(
% 58.13/9.56 spl5880_1358 | ~spl5880_869),
% 58.13/9.56 inference(avatar_split_clause,[],[f82695,f82691,f85355])).
% 58.13/9.56 tff(f82691,plain,(
% 58.13/9.56 spl5880_869 <=> iG1509(one_one(nat),$true)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_869])])).
% 58.13/9.56 tff(f82695,plain,(
% 58.13/9.56 iG1509(iG1228($true),$true) | ~spl5880_869),
% 58.13/9.56 inference(forward_demodulation,[],[f82693,f67101])).
% 58.13/9.56 tff(f82693,plain,(
% 58.13/9.56 iG1509(one_one(nat),$true) | ~spl5880_869),
% 58.13/9.56 inference(avatar_component_clause,[],[f82691])).
% 58.13/9.56 tff(f85353,plain,(
% 58.13/9.56 spl5880_1357 | ~spl5880_63 | ~spl5880_770),
% 58.13/9.56 inference(avatar_split_clause,[],[f85085,f82248,f78758,f85350])).
% 58.13/9.56 tff(f85350,plain,(
% 58.13/9.56 spl5880_1357 <=> sP1861(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1357])])).
% 58.13/9.56 tff(f78758,plain,(
% 58.13/9.56 spl5880_63 <=> real_V7819770556892013058_space(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_63])])).
% 58.13/9.56 tff(f85085,plain,(
% 58.13/9.56 sP1861(complex) | (~spl5880_63 | ~spl5880_770)),
% 58.13/9.56 inference(resolution,[],[f82249,f78760])).
% 58.13/9.56 tff(f78760,plain,(
% 58.13/9.56 real_V7819770556892013058_space(complex) | ~spl5880_63),
% 58.13/9.56 inference(avatar_component_clause,[],[f78758])).
% 58.13/9.56 tff(f85348,plain,(
% 58.13/9.56 spl5880_1356 | ~spl5880_858),
% 58.13/9.56 inference(avatar_split_clause,[],[f82639,f82635,f85345])).
% 58.13/9.56 tff(f82635,plain,(
% 58.13/9.56 spl5880_858 <=> iG1537(one_one(nat),$true)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_858])])).
% 58.13/9.56 tff(f82639,plain,(
% 58.13/9.56 iG1537(iG1228($true),$true) | ~spl5880_858),
% 58.13/9.56 inference(forward_demodulation,[],[f82637,f67101])).
% 58.13/9.56 tff(f82637,plain,(
% 58.13/9.56 iG1537(one_one(nat),$true) | ~spl5880_858),
% 58.13/9.56 inference(avatar_component_clause,[],[f82635])).
% 58.13/9.56 tff(f85343,plain,(
% 58.13/9.56 spl5880_1355 | ~spl5880_64 | ~spl5880_769),
% 58.13/9.56 inference(avatar_split_clause,[],[f85084,f82244,f78763,f85340])).
% 58.13/9.56 tff(f85340,plain,(
% 58.13/9.56 spl5880_1355 <=> sP1859(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1355])])).
% 58.13/9.56 tff(f82244,plain,(
% 58.13/9.56 spl5880_769 <=> ! [X0 : $tType] : (sP1859(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_769])])).
% 58.13/9.56 tff(f85084,plain,(
% 58.13/9.56 sP1859(real) | (~spl5880_64 | ~spl5880_769)),
% 58.13/9.56 inference(resolution,[],[f82245,f78765])).
% 58.13/9.56 tff(f82245,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP1859(X0)) ) | ~spl5880_769),
% 58.13/9.56 inference(avatar_component_clause,[],[f82244])).
% 58.13/9.56 tff(f85338,plain,(
% 58.13/9.56 spl5880_1354 | ~spl5880_63 | ~spl5880_769),
% 58.13/9.56 inference(avatar_split_clause,[],[f85083,f82244,f78758,f85335])).
% 58.13/9.56 tff(f85335,plain,(
% 58.13/9.56 spl5880_1354 <=> sP1859(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1354])])).
% 58.13/9.56 tff(f85083,plain,(
% 58.13/9.56 sP1859(complex) | (~spl5880_63 | ~spl5880_769)),
% 58.13/9.56 inference(resolution,[],[f82245,f78760])).
% 58.13/9.56 tff(f85333,plain,(
% 58.13/9.56 spl5880_1353 | ~spl5880_64 | ~spl5880_768),
% 58.13/9.56 inference(avatar_split_clause,[],[f85082,f82240,f78763,f85330])).
% 58.13/9.56 tff(f85330,plain,(
% 58.13/9.56 spl5880_1353 <=> sP1857(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1353])])).
% 58.13/9.56 tff(f82240,plain,(
% 58.13/9.56 spl5880_768 <=> ! [X0 : $tType] : (sP1857(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_768])])).
% 58.13/9.56 tff(f85082,plain,(
% 58.13/9.56 sP1857(real) | (~spl5880_64 | ~spl5880_768)),
% 58.13/9.56 inference(resolution,[],[f82241,f78765])).
% 58.13/9.56 tff(f82241,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP1857(X0)) ) | ~spl5880_768),
% 58.13/9.56 inference(avatar_component_clause,[],[f82240])).
% 58.13/9.56 tff(f85328,plain,(
% 58.13/9.56 spl5880_1352 | ~spl5880_63 | ~spl5880_768),
% 58.13/9.56 inference(avatar_split_clause,[],[f85081,f82240,f78758,f85325])).
% 58.13/9.56 tff(f85325,plain,(
% 58.13/9.56 spl5880_1352 <=> sP1857(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1352])])).
% 58.13/9.56 tff(f85081,plain,(
% 58.13/9.56 sP1857(complex) | (~spl5880_63 | ~spl5880_768)),
% 58.13/9.56 inference(resolution,[],[f82241,f78760])).
% 58.13/9.56 tff(f85228,plain,(
% 58.13/9.56 spl5880_1351 | ~spl5880_64 | ~spl5880_767),
% 58.13/9.56 inference(avatar_split_clause,[],[f85075,f82236,f78763,f85225])).
% 58.13/9.56 tff(f85225,plain,(
% 58.13/9.56 spl5880_1351 <=> sP1855(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1351])])).
% 58.13/9.56 tff(f82236,plain,(
% 58.13/9.56 spl5880_767 <=> ! [X0 : $tType] : (sP1855(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_767])])).
% 58.13/9.56 tff(f85075,plain,(
% 58.13/9.56 sP1855(real) | (~spl5880_64 | ~spl5880_767)),
% 58.13/9.56 inference(resolution,[],[f82237,f78765])).
% 58.13/9.56 tff(f82237,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP1855(X0)) ) | ~spl5880_767),
% 58.13/9.56 inference(avatar_component_clause,[],[f82236])).
% 58.13/9.56 tff(f85181,plain,(
% 58.13/9.56 spl5880_1350 | ~spl5880_63 | ~spl5880_767),
% 58.13/9.56 inference(avatar_split_clause,[],[f85074,f82236,f78758,f85178])).
% 58.13/9.56 tff(f85178,plain,(
% 58.13/9.56 spl5880_1350 <=> sP1855(complex)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1350])])).
% 58.13/9.56 tff(f85074,plain,(
% 58.13/9.56 sP1855(complex) | (~spl5880_63 | ~spl5880_767)),
% 58.13/9.56 inference(resolution,[],[f82237,f78760])).
% 58.13/9.56 tff(f85136,plain,(
% 58.13/9.56 spl5880_1349 | ~spl5880_8 | ~spl5880_766),
% 58.13/9.56 inference(avatar_split_clause,[],[f85073,f82232,f78483,f85133])).
% 58.13/9.56 tff(f85133,plain,(
% 58.13/9.56 spl5880_1349 <=> sP1853(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1349])])).
% 58.13/9.56 tff(f78483,plain,(
% 58.13/9.56 spl5880_8 <=> real_V5355595471888546746vector(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_8])])).
% 58.13/9.56 tff(f82232,plain,(
% 58.13/9.56 spl5880_766 <=> ! [X0 : $tType] : (sP1853(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_766])])).
% 58.13/9.56 tff(f85073,plain,(
% 58.13/9.56 sP1853(real) | (~spl5880_8 | ~spl5880_766)),
% 58.13/9.56 inference(resolution,[],[f82233,f78485])).
% 58.13/9.56 tff(f78485,plain,(
% 58.13/9.56 real_V5355595471888546746vector(real) | ~spl5880_8),
% 58.13/9.56 inference(avatar_component_clause,[],[f78483])).
% 58.13/9.56 tff(f82233,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP1853(X0)) ) | ~spl5880_766),
% 58.13/9.56 inference(avatar_component_clause,[],[f82232])).
% 58.13/9.56 tff(f85105,plain,(
% 58.13/9.56 spl5880_1348 | ~spl5880_8 | ~spl5880_765),
% 58.13/9.56 inference(avatar_split_clause,[],[f85072,f82228,f78483,f85102])).
% 58.13/9.56 tff(f85102,plain,(
% 58.13/9.56 spl5880_1348 <=> sP1851(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1348])])).
% 58.13/9.56 tff(f82228,plain,(
% 58.13/9.56 spl5880_765 <=> ! [X0 : $tType] : (sP1851(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_765])])).
% 58.13/9.56 tff(f85072,plain,(
% 58.13/9.56 sP1851(real) | (~spl5880_8 | ~spl5880_765)),
% 58.13/9.56 inference(resolution,[],[f82229,f78485])).
% 58.13/9.56 tff(f82229,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP1851(X0)) ) | ~spl5880_765),
% 58.13/9.56 inference(avatar_component_clause,[],[f82228])).
% 58.13/9.56 tff(f85080,plain,(
% 58.13/9.56 spl5880_1347 | ~spl5880_8 | ~spl5880_764),
% 58.13/9.56 inference(avatar_split_clause,[],[f85071,f82224,f78483,f85077])).
% 58.13/9.56 tff(f85077,plain,(
% 58.13/9.56 spl5880_1347 <=> sP1849(real)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1347])])).
% 58.13/9.56 tff(f82224,plain,(
% 58.13/9.56 spl5880_764 <=> ! [X0 : $tType] : (sP1849(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_764])])).
% 58.13/9.56 tff(f85071,plain,(
% 58.13/9.56 sP1849(real) | (~spl5880_8 | ~spl5880_764)),
% 58.13/9.56 inference(resolution,[],[f82225,f78485])).
% 58.13/9.56 tff(f82225,plain,(
% 58.13/9.56 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP1849(X0)) ) | ~spl5880_764),
% 58.13/9.56 inference(avatar_component_clause,[],[f82224])).
% 58.13/9.56 tff(f85070,plain,(
% 58.13/9.56 spl5880_1346),
% 58.13/9.56 inference(avatar_split_clause,[],[f69865,f85068])).
% 58.13/9.56 tff(f69865,plain,(
% 58.13/9.56 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,iG894($true))) )),
% 58.13/9.56 inference(forward_demodulation,[],[f50213,f67338])).
% 58.13/9.56 tff(f50213,plain,(
% 58.13/9.56 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,zero_zero(nat))) )),
% 58.13/9.56 inference(cnf_transformation,[],[f22744])).
% 58.13/9.56 tff(f22744,plain,(
% 58.13/9.56 ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,zero_zero(nat))),
% 58.13/9.56 inference(rectify,[],[f833])).
% 58.13/9.56 tff(f833,axiom,(
% 58.13/9.56 ! [X7 : vEBT_VEBT] : ~vEBT_invar_vebt(X7,zero_zero(nat))),
% 58.13/9.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_832_valid__0__not)).
% 58.13/9.56 tff(f85066,plain,(
% 58.13/9.56 spl5880_1345),
% 58.13/9.56 inference(avatar_split_clause,[],[f69518,f85063])).
% 58.13/9.56 tff(f69518,plain,(
% 58.13/9.56 iG802(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67406,f67101])).
% 58.13/9.56 tff(f67406,plain,(
% 58.13/9.56 iG802(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67405])).
% 58.13/9.56 tff(f67405,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG802(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f48153])).
% 58.13/9.56 tff(f48153,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG802(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38456])).
% 58.13/9.56 tff(f85061,plain,(
% 58.13/9.56 spl5880_1344),
% 58.13/9.56 inference(avatar_split_clause,[],[f69511,f85058])).
% 58.13/9.56 tff(f69511,plain,(
% 58.13/9.56 iG810(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67396,f67101])).
% 58.13/9.56 tff(f67396,plain,(
% 58.13/9.56 iG810(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67395])).
% 58.13/9.56 tff(f67395,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG810(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f48134])).
% 58.13/9.56 tff(f48134,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG810(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38449])).
% 58.13/9.56 tff(f85056,plain,(
% 58.13/9.56 spl5880_1343),
% 58.13/9.56 inference(avatar_split_clause,[],[f69504,f85053])).
% 58.13/9.56 tff(f69504,plain,(
% 58.13/9.56 iG842(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67376,f67101])).
% 58.13/9.56 tff(f67376,plain,(
% 58.13/9.56 iG842(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67375])).
% 58.13/9.56 tff(f67375,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG842(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f48067])).
% 58.13/9.56 tff(f48067,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG842(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38414])).
% 58.13/9.56 tff(f85051,plain,(
% 58.13/9.56 spl5880_1342),
% 58.13/9.56 inference(avatar_split_clause,[],[f69497,f85048])).
% 58.13/9.56 tff(f69497,plain,(
% 58.13/9.56 iG850(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67366,f67101])).
% 58.13/9.56 tff(f67366,plain,(
% 58.13/9.56 iG850(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67365])).
% 58.13/9.56 tff(f67365,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG850(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f48048])).
% 58.13/9.56 tff(f48048,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG850(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38407])).
% 58.13/9.56 tff(f85046,plain,(
% 58.13/9.56 spl5880_1341),
% 58.13/9.56 inference(avatar_split_clause,[],[f69478,f85043])).
% 58.13/9.56 tff(f69478,plain,(
% 58.13/9.56 iG933(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67299,f67101])).
% 58.13/9.56 tff(f67299,plain,(
% 58.13/9.56 iG933(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67298])).
% 58.13/9.56 tff(f67298,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG933(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f47883])).
% 58.13/9.56 tff(f47883,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG933(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38351])).
% 58.13/9.56 tff(f85041,plain,(
% 58.13/9.56 spl5880_1340),
% 58.13/9.56 inference(avatar_split_clause,[],[f69475,f85038])).
% 58.13/9.56 tff(f69475,plain,(
% 58.13/9.56 iG945(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67287,f67101])).
% 58.13/9.56 tff(f67287,plain,(
% 58.13/9.56 iG945(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67286])).
% 58.13/9.56 tff(f67286,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG945(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f47852])).
% 58.13/9.56 tff(f47852,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG945(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38340])).
% 58.13/9.56 tff(f85036,plain,(
% 58.13/9.56 spl5880_1339),
% 58.13/9.56 inference(avatar_split_clause,[],[f69472,f85033])).
% 58.13/9.56 tff(f69472,plain,(
% 58.13/9.56 iG955(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67277,f67101])).
% 58.13/9.56 tff(f67277,plain,(
% 58.13/9.56 iG955(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67276])).
% 58.13/9.56 tff(f67276,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG955(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f47825])).
% 58.13/9.56 tff(f47825,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG955(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38331])).
% 58.13/9.56 tff(f85031,plain,(
% 58.13/9.56 spl5880_1338),
% 58.13/9.56 inference(avatar_split_clause,[],[f69469,f85028])).
% 58.13/9.56 tff(f69469,plain,(
% 58.13/9.56 iG967(iG1228($true),$true)),
% 58.13/9.56 inference(forward_demodulation,[],[f67265,f67101])).
% 58.13/9.56 tff(f67265,plain,(
% 58.13/9.56 iG967(one_one(nat),$true)),
% 58.13/9.56 inference(equality_resolution,[],[f67264])).
% 58.13/9.56 tff(f67264,plain,(
% 58.13/9.56 ( ! [X2 : nat] : (iG967(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.56 inference(equality_resolution,[],[f47794])).
% 58.13/9.56 tff(f47794,plain,(
% 58.13/9.56 ( ! [X2 : nat,X3 : $o] : (iG967(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38320])).
% 58.13/9.56 tff(f85026,plain,(
% 58.13/9.56 spl5880_1337),
% 58.13/9.56 inference(avatar_split_clause,[],[f68639,f85024])).
% 58.13/9.56 tff(f85024,plain,(
% 58.13/9.56 spl5880_1337 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2357(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1337])])).
% 58.13/9.56 tff(f68639,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2357(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61489])).
% 58.13/9.56 tff(f61489,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2357(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f44018])).
% 58.13/9.56 tff(f44018,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK5030(X0,X1,X2),sK5031(X0,X1,X2),sK5032(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),sK5030(X0,X1,X2),sK5031(X0,X1,X2),sK5032(X0,X1,X2)) = X2) | ~sP2357(X0,X1,X2))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5030,sK5031,sK5032])],[f44016,f44017])).
% 58.13/9.56 tff(f44017,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),sK5030(X0,X1,X2),sK5031(X0,X1,X2),sK5032(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),sK5030(X0,X1,X2),sK5031(X0,X1,X2),sK5032(X0,X1,X2)) = X2))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f44016,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP2357(X0,X1,X2))),
% 58.13/9.56 inference(rectify,[],[f44015])).
% 58.13/9.56 tff(f44015,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & ($true != X2) & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2357(X1,X2,X0))),
% 58.13/9.56 inference(nnf_transformation,[],[f37683])).
% 58.13/9.56 tff(f37683,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1))) & ($true != X2) & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP2357(X1,X2,X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2357])])).
% 58.13/9.56 tff(f85022,plain,(
% 58.13/9.56 spl5880_1336),
% 58.13/9.56 inference(avatar_split_clause,[],[f68638,f85020])).
% 58.13/9.56 tff(f85020,plain,(
% 58.13/9.56 spl5880_1336 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2358(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1336])])).
% 58.13/9.56 tff(f68638,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2358(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61486])).
% 58.13/9.56 tff(f61486,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2358(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f44014])).
% 58.13/9.56 tff(f44014,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5027(X0,X1,X2)),zero_zero(nat),sK5028(X0,X1,X2),sK5029(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5027(X0,X1,X2)),zero_zero(nat),sK5028(X0,X1,X2),sK5029(X0,X1,X2)) = X2) | ~sP2358(X0,X1,X2))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5027,sK5028,sK5029])],[f44012,f44013])).
% 58.13/9.56 tff(f44013,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & ($true != 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),sK5027(X0,X1,X2)),zero_zero(nat),sK5028(X0,X1,X2),sK5029(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5027(X0,X1,X2)),zero_zero(nat),sK5028(X0,X1,X2),sK5029(X0,X1,X2)) = X2))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f44012,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0))) & ($true != 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) | ~sP2358(X0,X1,X2))),
% 58.13/9.56 inference(rectify,[],[f44011])).
% 58.13/9.56 tff(f44011,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10)),X1))) & ($true != 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) | ~sP2358(X1,X2,X0))),
% 58.13/9.56 inference(nnf_transformation,[],[f37684])).
% 58.13/9.56 tff(f37684,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10)),X1))) & ($true != 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) | ~sP2358(X1,X2,X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2358])])).
% 58.13/9.56 tff(f85018,plain,(
% 58.13/9.56 spl5880_1335),
% 58.13/9.56 inference(avatar_split_clause,[],[f68637,f85016])).
% 58.13/9.56 tff(f85016,plain,(
% 58.13/9.56 spl5880_1335 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2359(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1335])])).
% 58.13/9.56 tff(f68637,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2359(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61483])).
% 58.13/9.56 tff(f61483,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2359(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f44010])).
% 58.13/9.56 tff(f44010,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5024(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK5025(X0,X1,X2),sK5026(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5024(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK5025(X0,X1,X2),sK5026(X0,X1,X2)) = X2) | ~sP2359(X0,X1,X2))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5024,sK5025,sK5026])],[f44008,f44009])).
% 58.13/9.56 tff(f44009,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & ($true != 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) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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)),sK5024(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK5025(X0,X1,X2),sK5026(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK5024(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK5025(X0,X1,X2),sK5026(X0,X1,X2)) = X2))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f44008,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0))) & ($true != 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) | ~sP2359(X0,X1,X2))),
% 58.13/9.56 inference(rectify,[],[f44007])).
% 58.13/9.56 tff(f44007,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1))) & ($true != 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) | ~sP2359(X1,X2,X0))),
% 58.13/9.56 inference(nnf_transformation,[],[f37685])).
% 58.13/9.56 tff(f37685,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1))) & ($true != 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) | ~sP2359(X1,X2,X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2359])])).
% 58.13/9.56 tff(f85014,plain,(
% 58.13/9.56 spl5880_1334),
% 58.13/9.56 inference(avatar_split_clause,[],[f68618,f85012])).
% 58.13/9.56 tff(f85012,plain,(
% 58.13/9.56 spl5880_1334 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2347(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1334])])).
% 58.13/9.56 tff(f68618,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2347(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61454])).
% 58.13/9.56 tff(f61454,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2347(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f43977])).
% 58.13/9.56 tff(f85010,plain,(
% 58.13/9.56 spl5880_1333),
% 58.13/9.56 inference(avatar_split_clause,[],[f68617,f85008])).
% 58.13/9.56 tff(f85008,plain,(
% 58.13/9.56 spl5880_1333 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2348(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1333])])).
% 58.13/9.56 tff(f68617,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2348(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61451])).
% 58.13/9.56 tff(f61451,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2348(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f43973])).
% 58.13/9.56 tff(f43973,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK5004(X0,X1,X2),sK5005(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK5004(X0,X1,X2),sK5005(X0,X1,X2)) = X2) | ~sP2348(X0,X1,X2))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5004,sK5005])],[f43971,f43972])).
% 58.13/9.56 tff(f43972,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4)),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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),sK5004(X0,X1,X2),sK5005(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK5004(X0,X1,X2),sK5005(X0,X1,X2)) = X2))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f43971,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4)),X0))) & ($true != X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4) = X2) | ~sP2348(X0,X1,X2))),
% 58.13/9.56 inference(rectify,[],[f43970])).
% 58.13/9.56 tff(f43970,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6)),X1))) & ($true != X2) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP2348(X1,X2,X0))),
% 58.13/9.56 inference(nnf_transformation,[],[f37671])).
% 58.13/9.56 tff(f37671,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6)),X1))) & ($true != X2) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP2348(X1,X2,X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2348])])).
% 58.13/9.56 tff(f85006,plain,(
% 58.13/9.56 spl5880_1332),
% 58.13/9.56 inference(avatar_split_clause,[],[f68606,f85004])).
% 58.13/9.56 tff(f85004,plain,(
% 58.13/9.56 spl5880_1332 <=> ! [X2 : vEBT_VEBT,X0 : nat] : ~sP2338(X0,$true,X2)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1332])])).
% 58.13/9.56 tff(f68606,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat] : (~sP2338(X0,$true,X2)) )),
% 58.13/9.56 inference(equality_resolution,[],[f61415])).
% 58.13/9.56 tff(f61415,plain,(
% 58.13/9.56 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : $o] : (($true != X1) | ~sP2338(X0,X1,X2)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f43926])).
% 58.13/9.56 tff(f43926,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : ((($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK4971(X0,X1,X2),zero_zero(nat),sK4972(X0,X1,X2),sK4973(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(sK4971(X0,X1,X2),zero_zero(nat),sK4972(X0,X1,X2),sK4973(X0,X1,X2)) = X2) | ~sP2338(X0,X1,X2))),
% 58.13/9.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4971,sK4972,sK4973])],[f43924,f43925])).
% 58.13/9.56 tff(f43925,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,zero_zero(nat),X4,X5)),X0))) & ($true != X1) & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) => (($true = aa(product_prod(vEBT_VEBT,nat),$o,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(sK4971(X0,X1,X2),zero_zero(nat),sK4972(X0,X1,X2),sK4973(X0,X1,X2))),X0))) & ($true != X1) & vEBT_Node(sK4971(X0,X1,X2),zero_zero(nat),sK4972(X0,X1,X2),sK4973(X0,X1,X2)) = X2))),
% 58.13/9.56 introduced(choice_axiom,[])).
% 58.13/9.56 tff(f43924,plain,(
% 58.13/9.56 ! [X0 : nat,X1 : $o,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X3,zero_zero(nat),X4,X5)),X0))) & ($true != X1) & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) | ~sP2338(X0,X1,X2))),
% 58.13/9.56 inference(rectify,[],[f43923])).
% 58.13/9.56 tff(f43923,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X5,zero_zero(nat),X6,X7)),X1))) & ($true != X2) & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2338(X1,X2,X0))),
% 58.13/9.56 inference(nnf_transformation,[],[f37659])).
% 58.13/9.56 tff(f37659,plain,(
% 58.13/9.56 ! [X1 : nat,X2 : $o,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (($true = aa(product_prod(vEBT_VEBT,nat),$o,accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel),aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(X5,zero_zero(nat),X6,X7)),X1))) & ($true != X2) & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP2338(X1,X2,X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2338])])).
% 58.13/9.56 tff(f85002,plain,(
% 58.13/9.56 spl5880_1331),
% 58.13/9.56 inference(avatar_split_clause,[],[f68420,f85000])).
% 58.13/9.56 tff(f85000,plain,(
% 58.13/9.56 spl5880_1331 <=> ! [X0 : int] : sP2122(X0,zero_zero(int))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1331])])).
% 58.13/9.56 tff(f68420,plain,(
% 58.13/9.56 ( ! [X0 : int] : (sP2122(X0,zero_zero(int))) )),
% 58.13/9.56 inference(equality_resolution,[],[f59807])).
% 58.13/9.56 tff(f59807,plain,(
% 58.13/9.56 ( ! [X0 : int,X1 : int] : (sP2122(X0,X1) | zero_zero(int) != X1) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42687])).
% 58.13/9.56 tff(f42687,plain,(
% 58.13/9.56 ! [X0 : int,X1 : int] : ((sP2122(X0,X1) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) & zero_zero(int) != X0 & zero_zero(int) != X1)) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) | zero_zero(int) = X0 | zero_zero(int) = X1 | ~sP2122(X0,X1)))),
% 58.13/9.56 inference(rectify,[],[f42686])).
% 58.13/9.56 tff(f42686,plain,(
% 58.13/9.56 ! [X1 : int,X0 : int] : ((sP2122(X1,X0) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1 & zero_zero(int) != X0)) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0 | ~sP2122(X1,X0)))),
% 58.13/9.56 inference(flattening,[],[f42685])).
% 58.13/9.56 tff(f42685,plain,(
% 58.13/9.56 ! [X1 : int,X0 : int] : ((sP2122(X1,X0) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1 & zero_zero(int) != X0)) & (((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0) | ~sP2122(X1,X0)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37394])).
% 58.13/9.56 tff(f37394,plain,(
% 58.13/9.56 ! [X1 : int,X0 : int] : (sP2122(X1,X0) <=> ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0))),
% 58.13/9.56 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2122])])).
% 58.13/9.56 tff(f84998,plain,(
% 58.13/9.56 spl5880_1330),
% 58.13/9.56 inference(avatar_split_clause,[],[f68419,f84996])).
% 58.13/9.56 tff(f84996,plain,(
% 58.13/9.56 spl5880_1330 <=> ! [X1 : int] : sP2122(zero_zero(int),X1)),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1330])])).
% 58.13/9.56 tff(f68419,plain,(
% 58.13/9.56 ( ! [X1 : int] : (sP2122(zero_zero(int),X1)) )),
% 58.13/9.56 inference(equality_resolution,[],[f59808])).
% 58.13/9.56 tff(f59808,plain,(
% 58.13/9.56 ( ! [X0 : int,X1 : int] : (sP2122(X0,X1) | zero_zero(int) != X0) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42687])).
% 58.13/9.56 tff(f84994,plain,(
% 58.13/9.56 spl5880_1329),
% 58.13/9.56 inference(avatar_split_clause,[],[f68335,f84992])).
% 58.13/9.56 tff(f84992,plain,(
% 58.13/9.56 spl5880_1329 <=> ! [X0 : int] : sP2112(X0,zero_zero(int))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1329])])).
% 58.13/9.56 tff(f68335,plain,(
% 58.13/9.56 ( ! [X0 : int] : (sP2112(X0,zero_zero(int))) )),
% 58.13/9.56 inference(equality_resolution,[],[f59441])).
% 58.13/9.56 tff(f59441,plain,(
% 58.13/9.56 ( ! [X0 : int,X1 : int] : (sP2112(X0,X1) | zero_zero(int) != X1) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42420])).
% 58.13/9.56 tff(f42420,plain,(
% 58.13/9.56 ! [X0 : int,X1 : int] : ((sP2112(X0,X1) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | ~sP2112(X0,X1)))),
% 58.13/9.56 inference(flattening,[],[f42419])).
% 58.13/9.56 tff(f42419,plain,(
% 58.13/9.56 ! [X0 : int,X1 : int] : ((sP2112(X0,X1) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & (((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1) | ~sP2112(X0,X1)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37374])).
% 58.13/9.56 tff(f84990,plain,(
% 58.13/9.56 spl5880_1328),
% 58.13/9.56 inference(avatar_split_clause,[],[f68331,f84988])).
% 58.13/9.56 tff(f84988,plain,(
% 58.13/9.56 spl5880_1328 <=> ! [X0 : int] : sP2111(X0,zero_zero(int))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1328])])).
% 58.13/9.56 tff(f68331,plain,(
% 58.13/9.56 ( ! [X0 : int] : (sP2111(X0,zero_zero(int))) )),
% 58.13/9.56 inference(equality_resolution,[],[f59423])).
% 58.13/9.56 tff(f59423,plain,(
% 58.13/9.56 ( ! [X0 : int,X1 : int] : (sP2111(X0,X1) | zero_zero(int) != X1) )),
% 58.13/9.56 inference(cnf_transformation,[],[f42409])).
% 58.13/9.56 tff(f42409,plain,(
% 58.13/9.56 ! [X0 : int,X1 : int] : ((sP2111(X0,X1) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | ~sP2111(X0,X1)))),
% 58.13/9.56 inference(flattening,[],[f42408])).
% 58.13/9.56 tff(f42408,plain,(
% 58.13/9.56 ! [X0 : int,X1 : int] : ((sP2111(X0,X1) | ((($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) & (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & (((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),zero_zero(int)))) | (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1) | ~sP2111(X0,X1)))),
% 58.13/9.56 inference(nnf_transformation,[],[f37372])).
% 58.13/9.56 tff(f84986,plain,(
% 58.13/9.56 spl5880_1327),
% 58.13/9.56 inference(avatar_split_clause,[],[f67696,f84983])).
% 58.13/9.56 tff(f84983,plain,(
% 58.13/9.56 spl5880_1327 <=> ($true = bG340($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1327])])).
% 58.13/9.56 tff(f67696,plain,(
% 58.13/9.56 ($true = bG340($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49112])).
% 58.13/9.56 tff(f49112,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG340(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38673])).
% 58.13/9.56 tff(f84981,plain,(
% 58.13/9.56 spl5880_1326),
% 58.13/9.56 inference(avatar_split_clause,[],[f67695,f84978])).
% 58.13/9.56 tff(f84978,plain,(
% 58.13/9.56 spl5880_1326 <=> ($true = bG341($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1326])])).
% 58.13/9.56 tff(f67695,plain,(
% 58.13/9.56 ($true = bG341($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49110])).
% 58.13/9.56 tff(f49110,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG341(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38672])).
% 58.13/9.56 tff(f84976,plain,(
% 58.13/9.56 spl5880_1325),
% 58.13/9.56 inference(avatar_split_clause,[],[f67694,f84973])).
% 58.13/9.56 tff(f84973,plain,(
% 58.13/9.56 spl5880_1325 <=> ($true = bG342($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1325])])).
% 58.13/9.56 tff(f67694,plain,(
% 58.13/9.56 ($true = bG342($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49108])).
% 58.13/9.56 tff(f49108,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG342(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38671])).
% 58.13/9.56 tff(f84971,plain,(
% 58.13/9.56 spl5880_1324),
% 58.13/9.56 inference(avatar_split_clause,[],[f67693,f84968])).
% 58.13/9.56 tff(f84968,plain,(
% 58.13/9.56 spl5880_1324 <=> ($true = bG343($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1324])])).
% 58.13/9.56 tff(f67693,plain,(
% 58.13/9.56 ($true = bG343($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49106])).
% 58.13/9.56 tff(f49106,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG343(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38670])).
% 58.13/9.56 tff(f84966,plain,(
% 58.13/9.56 spl5880_1323),
% 58.13/9.56 inference(avatar_split_clause,[],[f67692,f84963])).
% 58.13/9.56 tff(f84963,plain,(
% 58.13/9.56 spl5880_1323 <=> ($true = bG344($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1323])])).
% 58.13/9.56 tff(f67692,plain,(
% 58.13/9.56 ($true = bG344($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49104])).
% 58.13/9.56 tff(f49104,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG344(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38669])).
% 58.13/9.56 tff(f84961,plain,(
% 58.13/9.56 spl5880_1322),
% 58.13/9.56 inference(avatar_split_clause,[],[f67691,f84958])).
% 58.13/9.56 tff(f84958,plain,(
% 58.13/9.56 spl5880_1322 <=> ($true = bG345($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1322])])).
% 58.13/9.56 tff(f67691,plain,(
% 58.13/9.56 ($true = bG345($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49102])).
% 58.13/9.56 tff(f49102,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG345(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38668])).
% 58.13/9.56 tff(f84956,plain,(
% 58.13/9.56 spl5880_1321),
% 58.13/9.56 inference(avatar_split_clause,[],[f67690,f84953])).
% 58.13/9.56 tff(f84953,plain,(
% 58.13/9.56 spl5880_1321 <=> ($true = bG346($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1321])])).
% 58.13/9.56 tff(f67690,plain,(
% 58.13/9.56 ($true = bG346($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49100])).
% 58.13/9.56 tff(f49100,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG346(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38667])).
% 58.13/9.56 tff(f84951,plain,(
% 58.13/9.56 spl5880_1320),
% 58.13/9.56 inference(avatar_split_clause,[],[f67689,f84948])).
% 58.13/9.56 tff(f84948,plain,(
% 58.13/9.56 spl5880_1320 <=> ($true = bG347($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1320])])).
% 58.13/9.56 tff(f67689,plain,(
% 58.13/9.56 ($true = bG347($true))),
% 58.13/9.56 inference(equality_resolution,[],[f49098])).
% 58.13/9.56 tff(f49098,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG347(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38666])).
% 58.13/9.56 tff(f84946,plain,(
% 58.13/9.56 spl5880_1319),
% 58.13/9.56 inference(avatar_split_clause,[],[f67683,f84943])).
% 58.13/9.56 tff(f84943,plain,(
% 58.13/9.56 spl5880_1319 <=> ($true = bG405($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1319])])).
% 58.13/9.56 tff(f67683,plain,(
% 58.13/9.56 ($true = bG405($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48983])).
% 58.13/9.56 tff(f48983,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG405(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38664])).
% 58.13/9.56 tff(f84941,plain,(
% 58.13/9.56 spl5880_1318),
% 58.13/9.56 inference(avatar_split_clause,[],[f67682,f84938])).
% 58.13/9.56 tff(f84938,plain,(
% 58.13/9.56 spl5880_1318 <=> ($true = bG408($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1318])])).
% 58.13/9.56 tff(f67682,plain,(
% 58.13/9.56 ($true = bG408($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48977])).
% 58.13/9.56 tff(f48977,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG408(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38662])).
% 58.13/9.56 tff(f84936,plain,(
% 58.13/9.56 spl5880_1317),
% 58.13/9.56 inference(avatar_split_clause,[],[f67680,f84933])).
% 58.13/9.56 tff(f84933,plain,(
% 58.13/9.56 spl5880_1317 <=> ($true = bG411($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1317])])).
% 58.13/9.56 tff(f67680,plain,(
% 58.13/9.56 ($true = bG411($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48970])).
% 58.13/9.56 tff(f48970,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG411(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38658])).
% 58.13/9.56 tff(f84931,plain,(
% 58.13/9.56 spl5880_1316),
% 58.13/9.56 inference(avatar_split_clause,[],[f67679,f84928])).
% 58.13/9.56 tff(f84928,plain,(
% 58.13/9.56 spl5880_1316 <=> ($true = bG412($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1316])])).
% 58.13/9.56 tff(f67679,plain,(
% 58.13/9.56 ($true = bG412($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48968])).
% 58.13/9.56 tff(f48968,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG412(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38657])).
% 58.13/9.56 tff(f84926,plain,(
% 58.13/9.56 spl5880_1315),
% 58.13/9.56 inference(avatar_split_clause,[],[f67677,f84923])).
% 58.13/9.56 tff(f84923,plain,(
% 58.13/9.56 spl5880_1315 <=> ($true = bG415($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1315])])).
% 58.13/9.56 tff(f84921,plain,(
% 58.13/9.56 spl5880_1314),
% 58.13/9.56 inference(avatar_split_clause,[],[f67628,f84918])).
% 58.13/9.56 tff(f84918,plain,(
% 58.13/9.56 spl5880_1314 <=> ($true = bG460($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1314])])).
% 58.13/9.56 tff(f67628,plain,(
% 58.13/9.56 ($true = bG460($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48846])).
% 58.13/9.56 tff(f48846,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG460(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38633])).
% 58.13/9.56 tff(f84916,plain,(
% 58.13/9.56 spl5880_1313),
% 58.13/9.56 inference(avatar_split_clause,[],[f67621,f84913])).
% 58.13/9.56 tff(f84913,plain,(
% 58.13/9.56 spl5880_1313 <=> ($true = bG474($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1313])])).
% 58.13/9.56 tff(f67621,plain,(
% 58.13/9.56 ($true = bG474($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48817])).
% 58.13/9.56 tff(f48817,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG474(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38628])).
% 58.13/9.56 tff(f84911,plain,(
% 58.13/9.56 spl5880_1312),
% 58.13/9.56 inference(avatar_split_clause,[],[f67620,f84908])).
% 58.13/9.56 tff(f84908,plain,(
% 58.13/9.56 spl5880_1312 <=> ($true = bG475($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1312])])).
% 58.13/9.56 tff(f67620,plain,(
% 58.13/9.56 ($true = bG475($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48815])).
% 58.13/9.56 tff(f48815,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG475(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38627])).
% 58.13/9.56 tff(f84906,plain,(
% 58.13/9.56 spl5880_1311),
% 58.13/9.56 inference(avatar_split_clause,[],[f67615,f84903])).
% 58.13/9.56 tff(f84903,plain,(
% 58.13/9.56 spl5880_1311 <=> ($true = bG483($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1311])])).
% 58.13/9.56 tff(f67615,plain,(
% 58.13/9.56 ($true = bG483($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48799])).
% 58.13/9.56 tff(f48799,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG483(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38624])).
% 58.13/9.56 tff(f84901,plain,(
% 58.13/9.56 spl5880_1310),
% 58.13/9.56 inference(avatar_split_clause,[],[f67614,f84898])).
% 58.13/9.56 tff(f84898,plain,(
% 58.13/9.56 spl5880_1310 <=> ($true = bG484($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1310])])).
% 58.13/9.56 tff(f67614,plain,(
% 58.13/9.56 ($true = bG484($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48797])).
% 58.13/9.56 tff(f48797,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG484(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38623])).
% 58.13/9.56 tff(f84896,plain,(
% 58.13/9.56 spl5880_1309),
% 58.13/9.56 inference(avatar_split_clause,[],[f67613,f84893])).
% 58.13/9.56 tff(f84893,plain,(
% 58.13/9.56 spl5880_1309 <=> ($true = bG485($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1309])])).
% 58.13/9.56 tff(f67613,plain,(
% 58.13/9.56 ($true = bG485($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48795])).
% 58.13/9.56 tff(f48795,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG485(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38622])).
% 58.13/9.56 tff(f84891,plain,(
% 58.13/9.56 spl5880_1308),
% 58.13/9.56 inference(avatar_split_clause,[],[f67612,f84888])).
% 58.13/9.56 tff(f84888,plain,(
% 58.13/9.56 spl5880_1308 <=> ($true = bG486($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1308])])).
% 58.13/9.56 tff(f67612,plain,(
% 58.13/9.56 ($true = bG486($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48793])).
% 58.13/9.56 tff(f48793,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG486(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38621])).
% 58.13/9.56 tff(f84886,plain,(
% 58.13/9.56 spl5880_1307),
% 58.13/9.56 inference(avatar_split_clause,[],[f67609,f84883])).
% 58.13/9.56 tff(f84883,plain,(
% 58.13/9.56 spl5880_1307 <=> ($true = bG488($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1307])])).
% 58.13/9.56 tff(f67609,plain,(
% 58.13/9.56 ($true = bG488($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48788])).
% 58.13/9.56 tff(f48788,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG488(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38618])).
% 58.13/9.56 tff(f84881,plain,(
% 58.13/9.56 spl5880_1306),
% 58.13/9.56 inference(avatar_split_clause,[],[f67608,f84878])).
% 58.13/9.56 tff(f84878,plain,(
% 58.13/9.56 spl5880_1306 <=> ($true = bG489($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1306])])).
% 58.13/9.56 tff(f67608,plain,(
% 58.13/9.56 ($true = bG489($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48786])).
% 58.13/9.56 tff(f48786,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG489(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38617])).
% 58.13/9.56 tff(f84876,plain,(
% 58.13/9.56 ~spl5880_1305),
% 58.13/9.56 inference(avatar_split_clause,[],[f67606,f84873])).
% 58.13/9.56 tff(f67606,plain,(
% 58.13/9.56 ($true != bG495($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48776])).
% 58.13/9.56 tff(f48776,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true != X0) | ($true != bG495(X0))) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38616])).
% 58.13/9.56 tff(f84871,plain,(
% 58.13/9.56 spl5880_1304),
% 58.13/9.56 inference(avatar_split_clause,[],[f67605,f84868])).
% 58.13/9.56 tff(f84868,plain,(
% 58.13/9.56 spl5880_1304 <=> ($true = bG496($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1304])])).
% 58.13/9.56 tff(f67605,plain,(
% 58.13/9.56 ($true = bG496($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48773])).
% 58.13/9.56 tff(f48773,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG496(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38615])).
% 58.13/9.56 tff(f84866,plain,(
% 58.13/9.56 spl5880_1303),
% 58.13/9.56 inference(avatar_split_clause,[],[f67604,f84863])).
% 58.13/9.56 tff(f84863,plain,(
% 58.13/9.56 spl5880_1303 <=> ($true = bG498($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1303])])).
% 58.13/9.56 tff(f67604,plain,(
% 58.13/9.56 ($true = bG498($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48769])).
% 58.13/9.56 tff(f48769,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG498(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38614])).
% 58.13/9.56 tff(f84861,plain,(
% 58.13/9.56 spl5880_1302),
% 58.13/9.56 inference(avatar_split_clause,[],[f67603,f84858])).
% 58.13/9.56 tff(f84858,plain,(
% 58.13/9.56 spl5880_1302 <=> ($true = bG499($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1302])])).
% 58.13/9.56 tff(f67603,plain,(
% 58.13/9.56 ($true = bG499($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48767])).
% 58.13/9.56 tff(f48767,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG499(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38613])).
% 58.13/9.56 tff(f84856,plain,(
% 58.13/9.56 spl5880_1301),
% 58.13/9.56 inference(avatar_split_clause,[],[f67602,f84853])).
% 58.13/9.56 tff(f84853,plain,(
% 58.13/9.56 spl5880_1301 <=> ($true = bG500($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1301])])).
% 58.13/9.56 tff(f67602,plain,(
% 58.13/9.56 ($true = bG500($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48765])).
% 58.13/9.56 tff(f48765,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG500(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38612])).
% 58.13/9.56 tff(f84851,plain,(
% 58.13/9.56 spl5880_1300),
% 58.13/9.56 inference(avatar_split_clause,[],[f67601,f84848])).
% 58.13/9.56 tff(f84848,plain,(
% 58.13/9.56 spl5880_1300 <=> ($true = bG501($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1300])])).
% 58.13/9.56 tff(f67601,plain,(
% 58.13/9.56 ($true = bG501($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48763])).
% 58.13/9.56 tff(f48763,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG501(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38611])).
% 58.13/9.56 tff(f84846,plain,(
% 58.13/9.56 spl5880_1299),
% 58.13/9.56 inference(avatar_split_clause,[],[f67600,f84843])).
% 58.13/9.56 tff(f84843,plain,(
% 58.13/9.56 spl5880_1299 <=> ($true = bG502($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1299])])).
% 58.13/9.56 tff(f67600,plain,(
% 58.13/9.56 ($true = bG502($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48761])).
% 58.13/9.56 tff(f48761,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG502(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38610])).
% 58.13/9.56 tff(f84841,plain,(
% 58.13/9.56 spl5880_1298),
% 58.13/9.56 inference(avatar_split_clause,[],[f67598,f84838])).
% 58.13/9.56 tff(f84838,plain,(
% 58.13/9.56 spl5880_1298 <=> ($true = bG504($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1298])])).
% 58.13/9.56 tff(f67598,plain,(
% 58.13/9.56 ($true = bG504($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48757])).
% 58.13/9.56 tff(f48757,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG504(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38609])).
% 58.13/9.56 tff(f84836,plain,(
% 58.13/9.56 spl5880_1297),
% 58.13/9.56 inference(avatar_split_clause,[],[f67597,f84833])).
% 58.13/9.56 tff(f84833,plain,(
% 58.13/9.56 spl5880_1297 <=> ($true = bG505($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1297])])).
% 58.13/9.56 tff(f84831,plain,(
% 58.13/9.56 spl5880_1296),
% 58.13/9.56 inference(avatar_split_clause,[],[f67596,f84828])).
% 58.13/9.56 tff(f84828,plain,(
% 58.13/9.56 spl5880_1296 <=> ($true = bG506($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1296])])).
% 58.13/9.56 tff(f67596,plain,(
% 58.13/9.56 ($true = bG506($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48753])).
% 58.13/9.56 tff(f48753,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG506(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38607])).
% 58.13/9.56 tff(f84826,plain,(
% 58.13/9.56 spl5880_1295),
% 58.13/9.56 inference(avatar_split_clause,[],[f67595,f84823])).
% 58.13/9.56 tff(f84823,plain,(
% 58.13/9.56 spl5880_1295 <=> ($true = bG507($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1295])])).
% 58.13/9.56 tff(f67595,plain,(
% 58.13/9.56 ($true = bG507($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48751])).
% 58.13/9.56 tff(f48751,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG507(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38606])).
% 58.13/9.56 tff(f84821,plain,(
% 58.13/9.56 spl5880_1294),
% 58.13/9.56 inference(avatar_split_clause,[],[f67594,f84818])).
% 58.13/9.56 tff(f84818,plain,(
% 58.13/9.56 spl5880_1294 <=> ($true = bG508($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1294])])).
% 58.13/9.56 tff(f67594,plain,(
% 58.13/9.56 ($true = bG508($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48749])).
% 58.13/9.56 tff(f48749,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG508(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38605])).
% 58.13/9.56 tff(f84816,plain,(
% 58.13/9.56 spl5880_1293),
% 58.13/9.56 inference(avatar_split_clause,[],[f67593,f84813])).
% 58.13/9.56 tff(f84813,plain,(
% 58.13/9.56 spl5880_1293 <=> ($true = bG509($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1293])])).
% 58.13/9.56 tff(f67593,plain,(
% 58.13/9.56 ($true = bG509($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48747])).
% 58.13/9.56 tff(f48747,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG509(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38604])).
% 58.13/9.56 tff(f84811,plain,(
% 58.13/9.56 spl5880_1292),
% 58.13/9.56 inference(avatar_split_clause,[],[f67588,f84808])).
% 58.13/9.56 tff(f84808,plain,(
% 58.13/9.56 spl5880_1292 <=> ($true = bG516($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1292])])).
% 58.13/9.56 tff(f67588,plain,(
% 58.13/9.56 ($true = bG516($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48735])).
% 58.13/9.56 tff(f48735,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG516(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38603])).
% 58.13/9.56 tff(f84806,plain,(
% 58.13/9.56 spl5880_1291),
% 58.13/9.56 inference(avatar_split_clause,[],[f67587,f84803])).
% 58.13/9.56 tff(f84803,plain,(
% 58.13/9.56 spl5880_1291 <=> ($true = bG517($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1291])])).
% 58.13/9.56 tff(f67587,plain,(
% 58.13/9.56 ($true = bG517($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48733])).
% 58.13/9.56 tff(f48733,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG517(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38602])).
% 58.13/9.56 tff(f84801,plain,(
% 58.13/9.56 spl5880_1290),
% 58.13/9.56 inference(avatar_split_clause,[],[f67586,f84798])).
% 58.13/9.56 tff(f84798,plain,(
% 58.13/9.56 spl5880_1290 <=> ($true = bG518($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1290])])).
% 58.13/9.56 tff(f67586,plain,(
% 58.13/9.56 ($true = bG518($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48731])).
% 58.13/9.56 tff(f48731,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG518(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38601])).
% 58.13/9.56 tff(f84796,plain,(
% 58.13/9.56 spl5880_1289),
% 58.13/9.56 inference(avatar_split_clause,[],[f67585,f84793])).
% 58.13/9.56 tff(f84793,plain,(
% 58.13/9.56 spl5880_1289 <=> ($true = bG519($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1289])])).
% 58.13/9.56 tff(f67585,plain,(
% 58.13/9.56 ($true = bG519($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48729])).
% 58.13/9.56 tff(f48729,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG519(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38600])).
% 58.13/9.56 tff(f84791,plain,(
% 58.13/9.56 spl5880_1288),
% 58.13/9.56 inference(avatar_split_clause,[],[f67584,f84788])).
% 58.13/9.56 tff(f84788,plain,(
% 58.13/9.56 spl5880_1288 <=> ($true = bG520($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1288])])).
% 58.13/9.56 tff(f67584,plain,(
% 58.13/9.56 ($true = bG520($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48727])).
% 58.13/9.56 tff(f48727,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG520(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38599])).
% 58.13/9.56 tff(f84786,plain,(
% 58.13/9.56 spl5880_1287),
% 58.13/9.56 inference(avatar_split_clause,[],[f67583,f84783])).
% 58.13/9.56 tff(f84783,plain,(
% 58.13/9.56 spl5880_1287 <=> ($true = bG521($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1287])])).
% 58.13/9.56 tff(f67583,plain,(
% 58.13/9.56 ($true = bG521($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48725])).
% 58.13/9.56 tff(f48725,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG521(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38598])).
% 58.13/9.56 tff(f84781,plain,(
% 58.13/9.56 spl5880_1286),
% 58.13/9.56 inference(avatar_split_clause,[],[f67582,f84778])).
% 58.13/9.56 tff(f84778,plain,(
% 58.13/9.56 spl5880_1286 <=> ($true = bG522($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1286])])).
% 58.13/9.56 tff(f67582,plain,(
% 58.13/9.56 ($true = bG522($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48723])).
% 58.13/9.56 tff(f48723,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG522(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38597])).
% 58.13/9.56 tff(f84776,plain,(
% 58.13/9.56 spl5880_1285),
% 58.13/9.56 inference(avatar_split_clause,[],[f67581,f84773])).
% 58.13/9.56 tff(f84773,plain,(
% 58.13/9.56 spl5880_1285 <=> ($true = bG523($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1285])])).
% 58.13/9.56 tff(f67581,plain,(
% 58.13/9.56 ($true = bG523($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48721])).
% 58.13/9.56 tff(f48721,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG523(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38596])).
% 58.13/9.56 tff(f84771,plain,(
% 58.13/9.56 spl5880_1284),
% 58.13/9.56 inference(avatar_split_clause,[],[f67580,f84768])).
% 58.13/9.56 tff(f84768,plain,(
% 58.13/9.56 spl5880_1284 <=> ($true = bG524($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1284])])).
% 58.13/9.56 tff(f67580,plain,(
% 58.13/9.56 ($true = bG524($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48719])).
% 58.13/9.56 tff(f48719,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG524(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38595])).
% 58.13/9.56 tff(f84766,plain,(
% 58.13/9.56 spl5880_1283),
% 58.13/9.56 inference(avatar_split_clause,[],[f67579,f84763])).
% 58.13/9.56 tff(f84763,plain,(
% 58.13/9.56 spl5880_1283 <=> ($true = bG525($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1283])])).
% 58.13/9.56 tff(f67579,plain,(
% 58.13/9.56 ($true = bG525($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48717])).
% 58.13/9.56 tff(f48717,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG525(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38594])).
% 58.13/9.56 tff(f84761,plain,(
% 58.13/9.56 spl5880_1282),
% 58.13/9.56 inference(avatar_split_clause,[],[f67578,f84758])).
% 58.13/9.56 tff(f84758,plain,(
% 58.13/9.56 spl5880_1282 <=> ($true = bG526($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1282])])).
% 58.13/9.56 tff(f67578,plain,(
% 58.13/9.56 ($true = bG526($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48715])).
% 58.13/9.56 tff(f48715,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG526(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38593])).
% 58.13/9.56 tff(f84756,plain,(
% 58.13/9.56 spl5880_1281),
% 58.13/9.56 inference(avatar_split_clause,[],[f67577,f84753])).
% 58.13/9.56 tff(f84753,plain,(
% 58.13/9.56 spl5880_1281 <=> ($true = bG527($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1281])])).
% 58.13/9.56 tff(f67577,plain,(
% 58.13/9.56 ($true = bG527($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48713])).
% 58.13/9.56 tff(f48713,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG527(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38592])).
% 58.13/9.56 tff(f84751,plain,(
% 58.13/9.56 spl5880_1280),
% 58.13/9.56 inference(avatar_split_clause,[],[f67576,f84748])).
% 58.13/9.56 tff(f84748,plain,(
% 58.13/9.56 spl5880_1280 <=> ($true = bG528($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1280])])).
% 58.13/9.56 tff(f67576,plain,(
% 58.13/9.56 ($true = bG528($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48711])).
% 58.13/9.56 tff(f48711,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG528(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38591])).
% 58.13/9.56 tff(f84746,plain,(
% 58.13/9.56 spl5880_1279),
% 58.13/9.56 inference(avatar_split_clause,[],[f67575,f84743])).
% 58.13/9.56 tff(f84743,plain,(
% 58.13/9.56 spl5880_1279 <=> ($true = bG529($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1279])])).
% 58.13/9.56 tff(f67575,plain,(
% 58.13/9.56 ($true = bG529($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48709])).
% 58.13/9.56 tff(f48709,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG529(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38590])).
% 58.13/9.56 tff(f84741,plain,(
% 58.13/9.56 spl5880_1278),
% 58.13/9.56 inference(avatar_split_clause,[],[f67574,f84738])).
% 58.13/9.56 tff(f84738,plain,(
% 58.13/9.56 spl5880_1278 <=> ($true = bG530($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1278])])).
% 58.13/9.56 tff(f67574,plain,(
% 58.13/9.56 ($true = bG530($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48707])).
% 58.13/9.56 tff(f48707,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG530(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38589])).
% 58.13/9.56 tff(f84736,plain,(
% 58.13/9.56 spl5880_1277),
% 58.13/9.56 inference(avatar_split_clause,[],[f67573,f84733])).
% 58.13/9.56 tff(f84733,plain,(
% 58.13/9.56 spl5880_1277 <=> ($true = bG531($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1277])])).
% 58.13/9.56 tff(f67573,plain,(
% 58.13/9.56 ($true = bG531($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48705])).
% 58.13/9.56 tff(f48705,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG531(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38588])).
% 58.13/9.56 tff(f84731,plain,(
% 58.13/9.56 spl5880_1276),
% 58.13/9.56 inference(avatar_split_clause,[],[f67567,f84728])).
% 58.13/9.56 tff(f84728,plain,(
% 58.13/9.56 spl5880_1276 <=> ($true = bG549($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1276])])).
% 58.13/9.56 tff(f67567,plain,(
% 58.13/9.56 ($true = bG549($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48671])).
% 58.13/9.56 tff(f48671,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG549(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38587])).
% 58.13/9.56 tff(f84726,plain,(
% 58.13/9.56 spl5880_1275),
% 58.13/9.56 inference(avatar_split_clause,[],[f67566,f84723])).
% 58.13/9.56 tff(f84723,plain,(
% 58.13/9.56 spl5880_1275 <=> ($true = bG550($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1275])])).
% 58.13/9.56 tff(f67566,plain,(
% 58.13/9.56 ($true = bG550($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48669])).
% 58.13/9.56 tff(f48669,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG550(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38586])).
% 58.13/9.56 tff(f84721,plain,(
% 58.13/9.56 spl5880_1274),
% 58.13/9.56 inference(avatar_split_clause,[],[f67563,f84718])).
% 58.13/9.56 tff(f84718,plain,(
% 58.13/9.56 spl5880_1274 <=> ($true = bG552($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1274])])).
% 58.13/9.56 tff(f67563,plain,(
% 58.13/9.56 ($true = bG552($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48664])).
% 58.13/9.56 tff(f48664,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG552(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38583])).
% 58.13/9.56 tff(f84716,plain,(
% 58.13/9.56 spl5880_1273),
% 58.13/9.56 inference(avatar_split_clause,[],[f67562,f84713])).
% 58.13/9.56 tff(f84713,plain,(
% 58.13/9.56 spl5880_1273 <=> ($true = bG553($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1273])])).
% 58.13/9.56 tff(f67562,plain,(
% 58.13/9.56 ($true = bG553($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48662])).
% 58.13/9.56 tff(f48662,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG553(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38582])).
% 58.13/9.56 tff(f84711,plain,(
% 58.13/9.56 spl5880_1272),
% 58.13/9.56 inference(avatar_split_clause,[],[f67560,f84708])).
% 58.13/9.56 tff(f84708,plain,(
% 58.13/9.56 spl5880_1272 <=> ($true = bG565($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1272])])).
% 58.13/9.56 tff(f67560,plain,(
% 58.13/9.56 ($true = bG565($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48638])).
% 58.13/9.56 tff(f48638,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG565(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38581])).
% 58.13/9.56 tff(f84706,plain,(
% 58.13/9.56 spl5880_1271),
% 58.13/9.56 inference(avatar_split_clause,[],[f67559,f84703])).
% 58.13/9.56 tff(f84703,plain,(
% 58.13/9.56 spl5880_1271 <=> ($true = bG566($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1271])])).
% 58.13/9.56 tff(f67559,plain,(
% 58.13/9.56 ($true = bG566($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48636])).
% 58.13/9.56 tff(f48636,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG566(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38580])).
% 58.13/9.56 tff(f84701,plain,(
% 58.13/9.56 spl5880_1270),
% 58.13/9.56 inference(avatar_split_clause,[],[f67558,f84698])).
% 58.13/9.56 tff(f84698,plain,(
% 58.13/9.56 spl5880_1270 <=> ($true = bG567($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1270])])).
% 58.13/9.56 tff(f67558,plain,(
% 58.13/9.56 ($true = bG567($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48634])).
% 58.13/9.56 tff(f48634,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG567(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38579])).
% 58.13/9.56 tff(f84696,plain,(
% 58.13/9.56 spl5880_1269),
% 58.13/9.56 inference(avatar_split_clause,[],[f67557,f84693])).
% 58.13/9.56 tff(f84693,plain,(
% 58.13/9.56 spl5880_1269 <=> ($true = bG568($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1269])])).
% 58.13/9.56 tff(f67557,plain,(
% 58.13/9.56 ($true = bG568($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48632])).
% 58.13/9.56 tff(f48632,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG568(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38578])).
% 58.13/9.56 tff(f84691,plain,(
% 58.13/9.56 spl5880_1268),
% 58.13/9.56 inference(avatar_split_clause,[],[f67551,f84688])).
% 58.13/9.56 tff(f84688,plain,(
% 58.13/9.56 spl5880_1268 <=> ($true = bG587($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1268])])).
% 58.13/9.56 tff(f67551,plain,(
% 58.13/9.56 ($true = bG587($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48592])).
% 58.13/9.56 tff(f48592,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG587(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38577])).
% 58.13/9.56 tff(f84686,plain,(
% 58.13/9.56 spl5880_1267),
% 58.13/9.56 inference(avatar_split_clause,[],[f67550,f84683])).
% 58.13/9.56 tff(f84683,plain,(
% 58.13/9.56 spl5880_1267 <=> ($true = bG588($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1267])])).
% 58.13/9.56 tff(f67550,plain,(
% 58.13/9.56 ($true = bG588($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48590])).
% 58.13/9.56 tff(f48590,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG588(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38576])).
% 58.13/9.56 tff(f84681,plain,(
% 58.13/9.56 spl5880_1266),
% 58.13/9.56 inference(avatar_split_clause,[],[f67549,f84678])).
% 58.13/9.56 tff(f84678,plain,(
% 58.13/9.56 spl5880_1266 <=> ($true = bG589($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1266])])).
% 58.13/9.56 tff(f67549,plain,(
% 58.13/9.56 ($true = bG589($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48588])).
% 58.13/9.56 tff(f48588,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG589(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38575])).
% 58.13/9.56 tff(f84676,plain,(
% 58.13/9.56 spl5880_1265),
% 58.13/9.56 inference(avatar_split_clause,[],[f67548,f84673])).
% 58.13/9.56 tff(f84673,plain,(
% 58.13/9.56 spl5880_1265 <=> ($true = bG590($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1265])])).
% 58.13/9.56 tff(f67548,plain,(
% 58.13/9.56 ($true = bG590($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48586])).
% 58.13/9.56 tff(f48586,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG590(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38574])).
% 58.13/9.56 tff(f84671,plain,(
% 58.13/9.56 spl5880_1264),
% 58.13/9.56 inference(avatar_split_clause,[],[f67547,f84668])).
% 58.13/9.56 tff(f84668,plain,(
% 58.13/9.56 spl5880_1264 <=> ($true = bG591($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1264])])).
% 58.13/9.56 tff(f67547,plain,(
% 58.13/9.56 ($true = bG591($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48584])).
% 58.13/9.56 tff(f48584,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG591(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38573])).
% 58.13/9.56 tff(f84666,plain,(
% 58.13/9.56 spl5880_1263),
% 58.13/9.56 inference(avatar_split_clause,[],[f67546,f84663])).
% 58.13/9.56 tff(f84663,plain,(
% 58.13/9.56 spl5880_1263 <=> ($true = bG592($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1263])])).
% 58.13/9.56 tff(f67546,plain,(
% 58.13/9.56 ($true = bG592($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48582])).
% 58.13/9.56 tff(f48582,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG592(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38572])).
% 58.13/9.56 tff(f84661,plain,(
% 58.13/9.56 spl5880_1262),
% 58.13/9.56 inference(avatar_split_clause,[],[f67545,f84658])).
% 58.13/9.56 tff(f84658,plain,(
% 58.13/9.56 spl5880_1262 <=> ($true = bG593($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1262])])).
% 58.13/9.56 tff(f67545,plain,(
% 58.13/9.56 ($true = bG593($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48580])).
% 58.13/9.56 tff(f48580,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG593(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38571])).
% 58.13/9.56 tff(f84656,plain,(
% 58.13/9.56 spl5880_1261),
% 58.13/9.56 inference(avatar_split_clause,[],[f67544,f84653])).
% 58.13/9.56 tff(f84653,plain,(
% 58.13/9.56 spl5880_1261 <=> ($true = bG594($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1261])])).
% 58.13/9.56 tff(f67544,plain,(
% 58.13/9.56 ($true = bG594($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48578])).
% 58.13/9.56 tff(f48578,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG594(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38570])).
% 58.13/9.56 tff(f84651,plain,(
% 58.13/9.56 spl5880_1260),
% 58.13/9.56 inference(avatar_split_clause,[],[f67543,f84648])).
% 58.13/9.56 tff(f84648,plain,(
% 58.13/9.56 spl5880_1260 <=> ($true = bG595($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1260])])).
% 58.13/9.56 tff(f67543,plain,(
% 58.13/9.56 ($true = bG595($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48576])).
% 58.13/9.56 tff(f48576,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG595(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38569])).
% 58.13/9.56 tff(f84646,plain,(
% 58.13/9.56 spl5880_1259),
% 58.13/9.56 inference(avatar_split_clause,[],[f67542,f84643])).
% 58.13/9.56 tff(f84643,plain,(
% 58.13/9.56 spl5880_1259 <=> ($true = bG596($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1259])])).
% 58.13/9.56 tff(f67542,plain,(
% 58.13/9.56 ($true = bG596($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48574])).
% 58.13/9.56 tff(f48574,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG596(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38568])).
% 58.13/9.56 tff(f84641,plain,(
% 58.13/9.56 spl5880_1258),
% 58.13/9.56 inference(avatar_split_clause,[],[f67541,f84638])).
% 58.13/9.56 tff(f84638,plain,(
% 58.13/9.56 spl5880_1258 <=> ($true = bG597($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1258])])).
% 58.13/9.56 tff(f67541,plain,(
% 58.13/9.56 ($true = bG597($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48572])).
% 58.13/9.56 tff(f48572,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG597(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38567])).
% 58.13/9.56 tff(f84636,plain,(
% 58.13/9.56 spl5880_1257),
% 58.13/9.56 inference(avatar_split_clause,[],[f67540,f84633])).
% 58.13/9.56 tff(f84633,plain,(
% 58.13/9.56 spl5880_1257 <=> ($true = bG598($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1257])])).
% 58.13/9.56 tff(f67540,plain,(
% 58.13/9.56 ($true = bG598($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48570])).
% 58.13/9.56 tff(f48570,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG598(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38566])).
% 58.13/9.56 tff(f84631,plain,(
% 58.13/9.56 spl5880_1256),
% 58.13/9.56 inference(avatar_split_clause,[],[f67539,f84628])).
% 58.13/9.56 tff(f84628,plain,(
% 58.13/9.56 spl5880_1256 <=> ($true = bG599($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1256])])).
% 58.13/9.56 tff(f67539,plain,(
% 58.13/9.56 ($true = bG599($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48568])).
% 58.13/9.56 tff(f48568,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG599(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38565])).
% 58.13/9.56 tff(f84626,plain,(
% 58.13/9.56 spl5880_1255),
% 58.13/9.56 inference(avatar_split_clause,[],[f67538,f84623])).
% 58.13/9.56 tff(f84623,plain,(
% 58.13/9.56 spl5880_1255 <=> ($true = bG600($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1255])])).
% 58.13/9.56 tff(f67538,plain,(
% 58.13/9.56 ($true = bG600($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48566])).
% 58.13/9.56 tff(f48566,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG600(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38564])).
% 58.13/9.56 tff(f84621,plain,(
% 58.13/9.56 spl5880_1254),
% 58.13/9.56 inference(avatar_split_clause,[],[f67537,f84618])).
% 58.13/9.56 tff(f84618,plain,(
% 58.13/9.56 spl5880_1254 <=> ($true = bG601($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1254])])).
% 58.13/9.56 tff(f67537,plain,(
% 58.13/9.56 ($true = bG601($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48564])).
% 58.13/9.56 tff(f48564,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG601(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38563])).
% 58.13/9.56 tff(f84616,plain,(
% 58.13/9.56 spl5880_1253),
% 58.13/9.56 inference(avatar_split_clause,[],[f67536,f84613])).
% 58.13/9.56 tff(f84613,plain,(
% 58.13/9.56 spl5880_1253 <=> ($true = bG602($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1253])])).
% 58.13/9.56 tff(f67536,plain,(
% 58.13/9.56 ($true = bG602($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48562])).
% 58.13/9.56 tff(f48562,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG602(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38562])).
% 58.13/9.56 tff(f84611,plain,(
% 58.13/9.56 spl5880_1252),
% 58.13/9.56 inference(avatar_split_clause,[],[f67535,f84608])).
% 58.13/9.56 tff(f84608,plain,(
% 58.13/9.56 spl5880_1252 <=> ($true = bG603($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1252])])).
% 58.13/9.56 tff(f67535,plain,(
% 58.13/9.56 ($true = bG603($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48560])).
% 58.13/9.56 tff(f48560,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG603(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38561])).
% 58.13/9.56 tff(f84606,plain,(
% 58.13/9.56 spl5880_1251),
% 58.13/9.56 inference(avatar_split_clause,[],[f67534,f84603])).
% 58.13/9.56 tff(f84603,plain,(
% 58.13/9.56 spl5880_1251 <=> ($true = bG604($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1251])])).
% 58.13/9.56 tff(f67534,plain,(
% 58.13/9.56 ($true = bG604($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48558])).
% 58.13/9.56 tff(f48558,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG604(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38560])).
% 58.13/9.56 tff(f84601,plain,(
% 58.13/9.56 spl5880_1250),
% 58.13/9.56 inference(avatar_split_clause,[],[f67533,f84598])).
% 58.13/9.56 tff(f84598,plain,(
% 58.13/9.56 spl5880_1250 <=> ($true = bG605($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1250])])).
% 58.13/9.56 tff(f67533,plain,(
% 58.13/9.56 ($true = bG605($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48556])).
% 58.13/9.56 tff(f48556,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG605(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38559])).
% 58.13/9.56 tff(f84596,plain,(
% 58.13/9.56 spl5880_1249),
% 58.13/9.56 inference(avatar_split_clause,[],[f67532,f84593])).
% 58.13/9.56 tff(f84593,plain,(
% 58.13/9.56 spl5880_1249 <=> ($true = bG606($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1249])])).
% 58.13/9.56 tff(f67532,plain,(
% 58.13/9.56 ($true = bG606($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48554])).
% 58.13/9.56 tff(f48554,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG606(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38558])).
% 58.13/9.56 tff(f84591,plain,(
% 58.13/9.56 spl5880_1248),
% 58.13/9.56 inference(avatar_split_clause,[],[f67531,f84588])).
% 58.13/9.56 tff(f84588,plain,(
% 58.13/9.56 spl5880_1248 <=> ($true = bG607($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1248])])).
% 58.13/9.56 tff(f67531,plain,(
% 58.13/9.56 ($true = bG607($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48552])).
% 58.13/9.56 tff(f48552,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG607(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38557])).
% 58.13/9.56 tff(f84586,plain,(
% 58.13/9.56 spl5880_1247),
% 58.13/9.56 inference(avatar_split_clause,[],[f67530,f84583])).
% 58.13/9.56 tff(f84583,plain,(
% 58.13/9.56 spl5880_1247 <=> ($true = bG608($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1247])])).
% 58.13/9.56 tff(f67530,plain,(
% 58.13/9.56 ($true = bG608($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48550])).
% 58.13/9.56 tff(f48550,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG608(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38556])).
% 58.13/9.56 tff(f84581,plain,(
% 58.13/9.56 spl5880_1246),
% 58.13/9.56 inference(avatar_split_clause,[],[f67529,f84578])).
% 58.13/9.56 tff(f84578,plain,(
% 58.13/9.56 spl5880_1246 <=> ($true = bG609($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1246])])).
% 58.13/9.56 tff(f67529,plain,(
% 58.13/9.56 ($true = bG609($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48548])).
% 58.13/9.56 tff(f48548,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG609(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38555])).
% 58.13/9.56 tff(f84576,plain,(
% 58.13/9.56 spl5880_1245),
% 58.13/9.56 inference(avatar_split_clause,[],[f67528,f84573])).
% 58.13/9.56 tff(f84573,plain,(
% 58.13/9.56 spl5880_1245 <=> ($true = bG610($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1245])])).
% 58.13/9.56 tff(f67528,plain,(
% 58.13/9.56 ($true = bG610($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48546])).
% 58.13/9.56 tff(f48546,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG610(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38554])).
% 58.13/9.56 tff(f84571,plain,(
% 58.13/9.56 spl5880_1244),
% 58.13/9.56 inference(avatar_split_clause,[],[f67527,f84568])).
% 58.13/9.56 tff(f84568,plain,(
% 58.13/9.56 spl5880_1244 <=> ($true = bG611($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1244])])).
% 58.13/9.56 tff(f67527,plain,(
% 58.13/9.56 ($true = bG611($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48544])).
% 58.13/9.56 tff(f48544,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG611(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38553])).
% 58.13/9.56 tff(f84566,plain,(
% 58.13/9.56 spl5880_1243),
% 58.13/9.56 inference(avatar_split_clause,[],[f67526,f84563])).
% 58.13/9.56 tff(f84563,plain,(
% 58.13/9.56 spl5880_1243 <=> ($true = bG612($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1243])])).
% 58.13/9.56 tff(f67526,plain,(
% 58.13/9.56 ($true = bG612($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48542])).
% 58.13/9.56 tff(f48542,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG612(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38552])).
% 58.13/9.56 tff(f84561,plain,(
% 58.13/9.56 spl5880_1242),
% 58.13/9.56 inference(avatar_split_clause,[],[f67525,f84558])).
% 58.13/9.56 tff(f84558,plain,(
% 58.13/9.56 spl5880_1242 <=> ($true = bG613($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1242])])).
% 58.13/9.56 tff(f67525,plain,(
% 58.13/9.56 ($true = bG613($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48540])).
% 58.13/9.56 tff(f48540,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG613(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38551])).
% 58.13/9.56 tff(f84556,plain,(
% 58.13/9.56 spl5880_1241),
% 58.13/9.56 inference(avatar_split_clause,[],[f67524,f84553])).
% 58.13/9.56 tff(f84553,plain,(
% 58.13/9.56 spl5880_1241 <=> ($true = bG614($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1241])])).
% 58.13/9.56 tff(f67524,plain,(
% 58.13/9.56 ($true = bG614($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48538])).
% 58.13/9.56 tff(f48538,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG614(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38550])).
% 58.13/9.56 tff(f84551,plain,(
% 58.13/9.56 spl5880_1240),
% 58.13/9.56 inference(avatar_split_clause,[],[f67523,f84548])).
% 58.13/9.56 tff(f84548,plain,(
% 58.13/9.56 spl5880_1240 <=> ($true = bG615($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1240])])).
% 58.13/9.56 tff(f67523,plain,(
% 58.13/9.56 ($true = bG615($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48536])).
% 58.13/9.56 tff(f48536,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG615(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38549])).
% 58.13/9.56 tff(f84546,plain,(
% 58.13/9.56 spl5880_1239),
% 58.13/9.56 inference(avatar_split_clause,[],[f67522,f84543])).
% 58.13/9.56 tff(f84543,plain,(
% 58.13/9.56 spl5880_1239 <=> ($true = bG616($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1239])])).
% 58.13/9.56 tff(f67522,plain,(
% 58.13/9.56 ($true = bG616($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48534])).
% 58.13/9.56 tff(f48534,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG616(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38548])).
% 58.13/9.56 tff(f84541,plain,(
% 58.13/9.56 spl5880_1238),
% 58.13/9.56 inference(avatar_split_clause,[],[f67521,f84538])).
% 58.13/9.56 tff(f84538,plain,(
% 58.13/9.56 spl5880_1238 <=> ($true = bG617($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1238])])).
% 58.13/9.56 tff(f67521,plain,(
% 58.13/9.56 ($true = bG617($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48532])).
% 58.13/9.56 tff(f48532,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG617(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38547])).
% 58.13/9.56 tff(f84536,plain,(
% 58.13/9.56 spl5880_1237),
% 58.13/9.56 inference(avatar_split_clause,[],[f67520,f84533])).
% 58.13/9.56 tff(f84533,plain,(
% 58.13/9.56 spl5880_1237 <=> ($true = bG618($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1237])])).
% 58.13/9.56 tff(f67520,plain,(
% 58.13/9.56 ($true = bG618($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48530])).
% 58.13/9.56 tff(f48530,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG618(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38546])).
% 58.13/9.56 tff(f84531,plain,(
% 58.13/9.56 spl5880_1236),
% 58.13/9.56 inference(avatar_split_clause,[],[f67519,f84528])).
% 58.13/9.56 tff(f84528,plain,(
% 58.13/9.56 spl5880_1236 <=> ($true = bG619($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1236])])).
% 58.13/9.56 tff(f67519,plain,(
% 58.13/9.56 ($true = bG619($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48528])).
% 58.13/9.56 tff(f48528,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG619(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38545])).
% 58.13/9.56 tff(f84526,plain,(
% 58.13/9.56 spl5880_1235),
% 58.13/9.56 inference(avatar_split_clause,[],[f67518,f84523])).
% 58.13/9.56 tff(f84523,plain,(
% 58.13/9.56 spl5880_1235 <=> ($true = bG620($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1235])])).
% 58.13/9.56 tff(f67518,plain,(
% 58.13/9.56 ($true = bG620($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48526])).
% 58.13/9.56 tff(f48526,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG620(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38544])).
% 58.13/9.56 tff(f84521,plain,(
% 58.13/9.56 spl5880_1234),
% 58.13/9.56 inference(avatar_split_clause,[],[f67517,f84518])).
% 58.13/9.56 tff(f84518,plain,(
% 58.13/9.56 spl5880_1234 <=> ($true = bG621($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1234])])).
% 58.13/9.56 tff(f67517,plain,(
% 58.13/9.56 ($true = bG621($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48524])).
% 58.13/9.56 tff(f48524,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG621(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38543])).
% 58.13/9.56 tff(f84516,plain,(
% 58.13/9.56 spl5880_1233),
% 58.13/9.56 inference(avatar_split_clause,[],[f67516,f84513])).
% 58.13/9.56 tff(f84513,plain,(
% 58.13/9.56 spl5880_1233 <=> ($true = bG622($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1233])])).
% 58.13/9.56 tff(f67516,plain,(
% 58.13/9.56 ($true = bG622($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48522])).
% 58.13/9.56 tff(f48522,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG622(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38542])).
% 58.13/9.56 tff(f84511,plain,(
% 58.13/9.56 spl5880_1232),
% 58.13/9.56 inference(avatar_split_clause,[],[f67472,f84508])).
% 58.13/9.56 tff(f84508,plain,(
% 58.13/9.56 spl5880_1232 <=> ($true = bG712($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1232])])).
% 58.13/9.56 tff(f67472,plain,(
% 58.13/9.56 ($true = bG712($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48333])).
% 58.13/9.56 tff(f48333,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG712(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38522])).
% 58.13/9.56 tff(f84506,plain,(
% 58.13/9.56 spl5880_1231),
% 58.13/9.56 inference(avatar_split_clause,[],[f67471,f84503])).
% 58.13/9.56 tff(f84503,plain,(
% 58.13/9.56 spl5880_1231 <=> ($true = bG713($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1231])])).
% 58.13/9.56 tff(f67471,plain,(
% 58.13/9.56 ($true = bG713($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48331])).
% 58.13/9.56 tff(f48331,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG713(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38521])).
% 58.13/9.56 tff(f84501,plain,(
% 58.13/9.56 spl5880_1230),
% 58.13/9.56 inference(avatar_split_clause,[],[f67469,f84498])).
% 58.13/9.56 tff(f84498,plain,(
% 58.13/9.56 spl5880_1230 <=> ($true = bG715($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1230])])).
% 58.13/9.56 tff(f67469,plain,(
% 58.13/9.56 ($true = bG715($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48327])).
% 58.13/9.56 tff(f48327,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG715(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38520])).
% 58.13/9.56 tff(f84496,plain,(
% 58.13/9.56 spl5880_1229),
% 58.13/9.56 inference(avatar_split_clause,[],[f67468,f84493])).
% 58.13/9.56 tff(f84493,plain,(
% 58.13/9.56 spl5880_1229 <=> ($true = bG716($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1229])])).
% 58.13/9.56 tff(f67468,plain,(
% 58.13/9.56 ($true = bG716($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48325])).
% 58.13/9.56 tff(f48325,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG716(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38519])).
% 58.13/9.56 tff(f84491,plain,(
% 58.13/9.56 spl5880_1228),
% 58.13/9.56 inference(avatar_split_clause,[],[f67466,f84488])).
% 58.13/9.56 tff(f84488,plain,(
% 58.13/9.56 spl5880_1228 <=> ($true = bG718($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1228])])).
% 58.13/9.56 tff(f67466,plain,(
% 58.13/9.56 ($true = bG718($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48321])).
% 58.13/9.56 tff(f48321,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG718(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38518])).
% 58.13/9.56 tff(f84486,plain,(
% 58.13/9.56 spl5880_1227),
% 58.13/9.56 inference(avatar_split_clause,[],[f67465,f84483])).
% 58.13/9.56 tff(f67465,plain,(
% 58.13/9.56 ($true = bG719($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48319])).
% 58.13/9.56 tff(f48319,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG719(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38517])).
% 58.13/9.56 tff(f84481,plain,(
% 58.13/9.56 spl5880_1226),
% 58.13/9.56 inference(avatar_split_clause,[],[f67462,f84478])).
% 58.13/9.56 tff(f67462,plain,(
% 58.13/9.56 ($true = bG722($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48313])).
% 58.13/9.56 tff(f48313,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG722(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38516])).
% 58.13/9.56 tff(f84476,plain,(
% 58.13/9.56 spl5880_1225),
% 58.13/9.56 inference(avatar_split_clause,[],[f67461,f84473])).
% 58.13/9.56 tff(f84473,plain,(
% 58.13/9.56 spl5880_1225 <=> ($true = bG723($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1225])])).
% 58.13/9.56 tff(f67461,plain,(
% 58.13/9.56 ($true = bG723($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48311])).
% 58.13/9.56 tff(f48311,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG723(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38515])).
% 58.13/9.56 tff(f84471,plain,(
% 58.13/9.56 spl5880_1224),
% 58.13/9.56 inference(avatar_split_clause,[],[f67458,f84468])).
% 58.13/9.56 tff(f84468,plain,(
% 58.13/9.56 spl5880_1224 <=> ($true = bG726($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1224])])).
% 58.13/9.56 tff(f67458,plain,(
% 58.13/9.56 ($true = bG726($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48305])).
% 58.13/9.56 tff(f48305,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG726(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38514])).
% 58.13/9.56 tff(f84466,plain,(
% 58.13/9.56 spl5880_1223),
% 58.13/9.56 inference(avatar_split_clause,[],[f67457,f84463])).
% 58.13/9.56 tff(f84463,plain,(
% 58.13/9.56 spl5880_1223 <=> ($true = bG727($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1223])])).
% 58.13/9.56 tff(f67457,plain,(
% 58.13/9.56 ($true = bG727($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48303])).
% 58.13/9.56 tff(f48303,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG727(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38513])).
% 58.13/9.56 tff(f84461,plain,(
% 58.13/9.56 spl5880_1222),
% 58.13/9.56 inference(avatar_split_clause,[],[f67456,f84458])).
% 58.13/9.56 tff(f84458,plain,(
% 58.13/9.56 spl5880_1222 <=> ($true = bG728($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1222])])).
% 58.13/9.56 tff(f67456,plain,(
% 58.13/9.56 ($true = bG728($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48301])).
% 58.13/9.56 tff(f48301,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG728(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38512])).
% 58.13/9.56 tff(f84456,plain,(
% 58.13/9.56 spl5880_1221),
% 58.13/9.56 inference(avatar_split_clause,[],[f67455,f84453])).
% 58.13/9.56 tff(f84453,plain,(
% 58.13/9.56 spl5880_1221 <=> ($true = bG729($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1221])])).
% 58.13/9.56 tff(f67455,plain,(
% 58.13/9.56 ($true = bG729($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48299])).
% 58.13/9.56 tff(f48299,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG729(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38511])).
% 58.13/9.56 tff(f84451,plain,(
% 58.13/9.56 spl5880_1220),
% 58.13/9.56 inference(avatar_split_clause,[],[f67454,f84448])).
% 58.13/9.56 tff(f84448,plain,(
% 58.13/9.56 spl5880_1220 <=> ($true = bG730($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1220])])).
% 58.13/9.56 tff(f67454,plain,(
% 58.13/9.56 ($true = bG730($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48297])).
% 58.13/9.56 tff(f48297,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG730(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38510])).
% 58.13/9.56 tff(f84446,plain,(
% 58.13/9.56 spl5880_1219),
% 58.13/9.56 inference(avatar_split_clause,[],[f67453,f84443])).
% 58.13/9.56 tff(f84443,plain,(
% 58.13/9.56 spl5880_1219 <=> ($true = bG731($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1219])])).
% 58.13/9.56 tff(f67453,plain,(
% 58.13/9.56 ($true = bG731($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48295])).
% 58.13/9.56 tff(f48295,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG731(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38509])).
% 58.13/9.56 tff(f84441,plain,(
% 58.13/9.56 spl5880_1218),
% 58.13/9.56 inference(avatar_split_clause,[],[f67452,f84438])).
% 58.13/9.56 tff(f84438,plain,(
% 58.13/9.56 spl5880_1218 <=> ($true = bG732($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1218])])).
% 58.13/9.56 tff(f67452,plain,(
% 58.13/9.56 ($true = bG732($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48293])).
% 58.13/9.56 tff(f48293,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG732(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38508])).
% 58.13/9.56 tff(f84436,plain,(
% 58.13/9.56 spl5880_1217),
% 58.13/9.56 inference(avatar_split_clause,[],[f67451,f84433])).
% 58.13/9.56 tff(f84433,plain,(
% 58.13/9.56 spl5880_1217 <=> ($true = bG733($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1217])])).
% 58.13/9.56 tff(f67451,plain,(
% 58.13/9.56 ($true = bG733($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48291])).
% 58.13/9.56 tff(f48291,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG733(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38507])).
% 58.13/9.56 tff(f84431,plain,(
% 58.13/9.56 spl5880_1216),
% 58.13/9.56 inference(avatar_split_clause,[],[f67450,f84428])).
% 58.13/9.56 tff(f84428,plain,(
% 58.13/9.56 spl5880_1216 <=> ($true = bG734($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1216])])).
% 58.13/9.56 tff(f67450,plain,(
% 58.13/9.56 ($true = bG734($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48289])).
% 58.13/9.56 tff(f48289,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG734(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38506])).
% 58.13/9.56 tff(f84426,plain,(
% 58.13/9.56 spl5880_1215),
% 58.13/9.56 inference(avatar_split_clause,[],[f67449,f84423])).
% 58.13/9.56 tff(f84423,plain,(
% 58.13/9.56 spl5880_1215 <=> ($true = bG735($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1215])])).
% 58.13/9.56 tff(f67449,plain,(
% 58.13/9.56 ($true = bG735($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48287])).
% 58.13/9.56 tff(f48287,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG735(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38505])).
% 58.13/9.56 tff(f84421,plain,(
% 58.13/9.56 spl5880_1214),
% 58.13/9.56 inference(avatar_split_clause,[],[f67448,f84418])).
% 58.13/9.56 tff(f84418,plain,(
% 58.13/9.56 spl5880_1214 <=> ($true = bG736($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1214])])).
% 58.13/9.56 tff(f67448,plain,(
% 58.13/9.56 ($true = bG736($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48285])).
% 58.13/9.56 tff(f48285,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG736(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38504])).
% 58.13/9.56 tff(f84416,plain,(
% 58.13/9.56 spl5880_1213),
% 58.13/9.56 inference(avatar_split_clause,[],[f67447,f84413])).
% 58.13/9.56 tff(f84413,plain,(
% 58.13/9.56 spl5880_1213 <=> ($true = bG737($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1213])])).
% 58.13/9.56 tff(f67447,plain,(
% 58.13/9.56 ($true = bG737($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48283])).
% 58.13/9.56 tff(f48283,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG737(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38503])).
% 58.13/9.56 tff(f84411,plain,(
% 58.13/9.56 spl5880_1212),
% 58.13/9.56 inference(avatar_split_clause,[],[f67446,f84408])).
% 58.13/9.56 tff(f84408,plain,(
% 58.13/9.56 spl5880_1212 <=> ($true = bG738($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1212])])).
% 58.13/9.56 tff(f67446,plain,(
% 58.13/9.56 ($true = bG738($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48281])).
% 58.13/9.56 tff(f48281,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG738(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38502])).
% 58.13/9.56 tff(f84406,plain,(
% 58.13/9.56 spl5880_1211),
% 58.13/9.56 inference(avatar_split_clause,[],[f67445,f84403])).
% 58.13/9.56 tff(f84403,plain,(
% 58.13/9.56 spl5880_1211 <=> ($true = bG739($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1211])])).
% 58.13/9.56 tff(f67445,plain,(
% 58.13/9.56 ($true = bG739($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48279])).
% 58.13/9.56 tff(f48279,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG739(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38501])).
% 58.13/9.56 tff(f84401,plain,(
% 58.13/9.56 spl5880_1210),
% 58.13/9.56 inference(avatar_split_clause,[],[f67443,f84398])).
% 58.13/9.56 tff(f84398,plain,(
% 58.13/9.56 spl5880_1210 <=> ($true = bG741($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1210])])).
% 58.13/9.56 tff(f67443,plain,(
% 58.13/9.56 ($true = bG741($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48275])).
% 58.13/9.56 tff(f48275,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG741(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38500])).
% 58.13/9.56 tff(f84396,plain,(
% 58.13/9.56 spl5880_1209),
% 58.13/9.56 inference(avatar_split_clause,[],[f67442,f84393])).
% 58.13/9.56 tff(f84393,plain,(
% 58.13/9.56 spl5880_1209 <=> ($true = bG742($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1209])])).
% 58.13/9.56 tff(f67442,plain,(
% 58.13/9.56 ($true = bG742($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48273])).
% 58.13/9.56 tff(f48273,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG742(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38499])).
% 58.13/9.56 tff(f84391,plain,(
% 58.13/9.56 spl5880_1208),
% 58.13/9.56 inference(avatar_split_clause,[],[f67441,f84388])).
% 58.13/9.56 tff(f84388,plain,(
% 58.13/9.56 spl5880_1208 <=> ($true = bG743($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1208])])).
% 58.13/9.56 tff(f67441,plain,(
% 58.13/9.56 ($true = bG743($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48271])).
% 58.13/9.56 tff(f48271,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG743(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38498])).
% 58.13/9.56 tff(f84386,plain,(
% 58.13/9.56 spl5880_1207),
% 58.13/9.56 inference(avatar_split_clause,[],[f67440,f84383])).
% 58.13/9.56 tff(f84383,plain,(
% 58.13/9.56 spl5880_1207 <=> ($true = bG744($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1207])])).
% 58.13/9.56 tff(f67440,plain,(
% 58.13/9.56 ($true = bG744($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48269])).
% 58.13/9.56 tff(f48269,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG744(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38497])).
% 58.13/9.56 tff(f84381,plain,(
% 58.13/9.56 spl5880_1206),
% 58.13/9.56 inference(avatar_split_clause,[],[f67439,f84378])).
% 58.13/9.56 tff(f84378,plain,(
% 58.13/9.56 spl5880_1206 <=> ($true = bG745($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1206])])).
% 58.13/9.56 tff(f67439,plain,(
% 58.13/9.56 ($true = bG745($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48267])).
% 58.13/9.56 tff(f48267,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG745(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38496])).
% 58.13/9.56 tff(f84376,plain,(
% 58.13/9.56 spl5880_1205),
% 58.13/9.56 inference(avatar_split_clause,[],[f67438,f84373])).
% 58.13/9.56 tff(f84373,plain,(
% 58.13/9.56 spl5880_1205 <=> ($true = bG746($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1205])])).
% 58.13/9.56 tff(f67438,plain,(
% 58.13/9.56 ($true = bG746($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48265])).
% 58.13/9.56 tff(f48265,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG746(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38495])).
% 58.13/9.56 tff(f84371,plain,(
% 58.13/9.56 spl5880_1204),
% 58.13/9.56 inference(avatar_split_clause,[],[f67436,f84368])).
% 58.13/9.56 tff(f84368,plain,(
% 58.13/9.56 spl5880_1204 <=> ($true = bG748($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1204])])).
% 58.13/9.56 tff(f67436,plain,(
% 58.13/9.56 ($true = bG748($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48261])).
% 58.13/9.56 tff(f48261,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG748(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38494])).
% 58.13/9.56 tff(f84366,plain,(
% 58.13/9.56 spl5880_1203),
% 58.13/9.56 inference(avatar_split_clause,[],[f67435,f84363])).
% 58.13/9.56 tff(f84363,plain,(
% 58.13/9.56 spl5880_1203 <=> ($true = bG749($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1203])])).
% 58.13/9.56 tff(f67435,plain,(
% 58.13/9.56 ($true = bG749($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48259])).
% 58.13/9.56 tff(f48259,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG749(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38493])).
% 58.13/9.56 tff(f84361,plain,(
% 58.13/9.56 spl5880_1202),
% 58.13/9.56 inference(avatar_split_clause,[],[f67434,f84358])).
% 58.13/9.56 tff(f84358,plain,(
% 58.13/9.56 spl5880_1202 <=> ($true = bG750($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1202])])).
% 58.13/9.56 tff(f67434,plain,(
% 58.13/9.56 ($true = bG750($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48257])).
% 58.13/9.56 tff(f48257,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG750(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38492])).
% 58.13/9.56 tff(f84356,plain,(
% 58.13/9.56 spl5880_1201),
% 58.13/9.56 inference(avatar_split_clause,[],[f67433,f84353])).
% 58.13/9.56 tff(f84353,plain,(
% 58.13/9.56 spl5880_1201 <=> ($true = bG751($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1201])])).
% 58.13/9.56 tff(f67433,plain,(
% 58.13/9.56 ($true = bG751($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48255])).
% 58.13/9.56 tff(f48255,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG751(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38491])).
% 58.13/9.56 tff(f84351,plain,(
% 58.13/9.56 spl5880_1200),
% 58.13/9.56 inference(avatar_split_clause,[],[f67432,f84348])).
% 58.13/9.56 tff(f84348,plain,(
% 58.13/9.56 spl5880_1200 <=> ($true = bG752($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1200])])).
% 58.13/9.56 tff(f67432,plain,(
% 58.13/9.56 ($true = bG752($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48253])).
% 58.13/9.56 tff(f48253,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG752(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38490])).
% 58.13/9.56 tff(f84346,plain,(
% 58.13/9.56 spl5880_1199),
% 58.13/9.56 inference(avatar_split_clause,[],[f67431,f84343])).
% 58.13/9.56 tff(f84343,plain,(
% 58.13/9.56 spl5880_1199 <=> ($true = bG753($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1199])])).
% 58.13/9.56 tff(f67431,plain,(
% 58.13/9.56 ($true = bG753($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48251])).
% 58.13/9.56 tff(f48251,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG753(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38489])).
% 58.13/9.56 tff(f84341,plain,(
% 58.13/9.56 spl5880_1198),
% 58.13/9.56 inference(avatar_split_clause,[],[f67430,f84338])).
% 58.13/9.56 tff(f84338,plain,(
% 58.13/9.56 spl5880_1198 <=> ($true = bG754($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1198])])).
% 58.13/9.56 tff(f67430,plain,(
% 58.13/9.56 ($true = bG754($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48249])).
% 58.13/9.56 tff(f48249,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG754(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38488])).
% 58.13/9.56 tff(f84336,plain,(
% 58.13/9.56 spl5880_1197),
% 58.13/9.56 inference(avatar_split_clause,[],[f67429,f84333])).
% 58.13/9.56 tff(f84333,plain,(
% 58.13/9.56 spl5880_1197 <=> ($true = bG755($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1197])])).
% 58.13/9.56 tff(f67429,plain,(
% 58.13/9.56 ($true = bG755($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48247])).
% 58.13/9.56 tff(f48247,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG755(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38487])).
% 58.13/9.56 tff(f84331,plain,(
% 58.13/9.56 spl5880_1196),
% 58.13/9.56 inference(avatar_split_clause,[],[f67428,f84328])).
% 58.13/9.56 tff(f84328,plain,(
% 58.13/9.56 spl5880_1196 <=> ($true = bG756($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1196])])).
% 58.13/9.56 tff(f67428,plain,(
% 58.13/9.56 ($true = bG756($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48245])).
% 58.13/9.56 tff(f48245,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG756(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38486])).
% 58.13/9.56 tff(f84326,plain,(
% 58.13/9.56 spl5880_1195),
% 58.13/9.56 inference(avatar_split_clause,[],[f67427,f84323])).
% 58.13/9.56 tff(f84323,plain,(
% 58.13/9.56 spl5880_1195 <=> ($true = bG757($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1195])])).
% 58.13/9.56 tff(f67427,plain,(
% 58.13/9.56 ($true = bG757($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48243])).
% 58.13/9.56 tff(f48243,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG757(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38485])).
% 58.13/9.56 tff(f84321,plain,(
% 58.13/9.56 spl5880_1194),
% 58.13/9.56 inference(avatar_split_clause,[],[f67426,f84318])).
% 58.13/9.56 tff(f84318,plain,(
% 58.13/9.56 spl5880_1194 <=> ($true = bG758($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1194])])).
% 58.13/9.56 tff(f67426,plain,(
% 58.13/9.56 ($true = bG758($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48241])).
% 58.13/9.56 tff(f48241,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG758(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38484])).
% 58.13/9.56 tff(f84316,plain,(
% 58.13/9.56 spl5880_1193),
% 58.13/9.56 inference(avatar_split_clause,[],[f67425,f84313])).
% 58.13/9.56 tff(f84313,plain,(
% 58.13/9.56 spl5880_1193 <=> ($true = bG759($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1193])])).
% 58.13/9.56 tff(f67425,plain,(
% 58.13/9.56 ($true = bG759($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48239])).
% 58.13/9.56 tff(f48239,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG759(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38483])).
% 58.13/9.56 tff(f84311,plain,(
% 58.13/9.56 spl5880_1192),
% 58.13/9.56 inference(avatar_split_clause,[],[f67424,f84308])).
% 58.13/9.56 tff(f84308,plain,(
% 58.13/9.56 spl5880_1192 <=> ($true = bG760($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1192])])).
% 58.13/9.56 tff(f67424,plain,(
% 58.13/9.56 ($true = bG760($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48237])).
% 58.13/9.56 tff(f48237,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG760(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38482])).
% 58.13/9.56 tff(f84306,plain,(
% 58.13/9.56 spl5880_1191),
% 58.13/9.56 inference(avatar_split_clause,[],[f67423,f84303])).
% 58.13/9.56 tff(f84303,plain,(
% 58.13/9.56 spl5880_1191 <=> ($true = bG761($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1191])])).
% 58.13/9.56 tff(f67423,plain,(
% 58.13/9.56 ($true = bG761($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48235])).
% 58.13/9.56 tff(f48235,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG761(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38481])).
% 58.13/9.56 tff(f84301,plain,(
% 58.13/9.56 spl5880_1190),
% 58.13/9.56 inference(avatar_split_clause,[],[f67422,f84298])).
% 58.13/9.56 tff(f84298,plain,(
% 58.13/9.56 spl5880_1190 <=> ($true = bG762($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1190])])).
% 58.13/9.56 tff(f67422,plain,(
% 58.13/9.56 ($true = bG762($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48233])).
% 58.13/9.56 tff(f48233,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG762(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38480])).
% 58.13/9.56 tff(f84296,plain,(
% 58.13/9.56 spl5880_1189),
% 58.13/9.56 inference(avatar_split_clause,[],[f67421,f84293])).
% 58.13/9.56 tff(f84293,plain,(
% 58.13/9.56 spl5880_1189 <=> ($true = bG763($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1189])])).
% 58.13/9.56 tff(f67421,plain,(
% 58.13/9.56 ($true = bG763($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48231])).
% 58.13/9.56 tff(f48231,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG763(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38479])).
% 58.13/9.56 tff(f84291,plain,(
% 58.13/9.56 spl5880_1188),
% 58.13/9.56 inference(avatar_split_clause,[],[f67415,f84288])).
% 58.13/9.56 tff(f84288,plain,(
% 58.13/9.56 spl5880_1188 <=> ($true = bG788($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1188])])).
% 58.13/9.56 tff(f67415,plain,(
% 58.13/9.56 ($true = bG788($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48181])).
% 58.13/9.56 tff(f48181,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG788(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38478])).
% 58.13/9.56 tff(f84286,plain,(
% 58.13/9.56 spl5880_1187),
% 58.13/9.56 inference(avatar_split_clause,[],[f67414,f84283])).
% 58.13/9.56 tff(f84283,plain,(
% 58.13/9.56 spl5880_1187 <=> ($true = bG789($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1187])])).
% 58.13/9.56 tff(f67414,plain,(
% 58.13/9.56 ($true = bG789($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48179])).
% 58.13/9.56 tff(f48179,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG789(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38477])).
% 58.13/9.56 tff(f84281,plain,(
% 58.13/9.56 spl5880_1186),
% 58.13/9.56 inference(avatar_split_clause,[],[f67413,f84278])).
% 58.13/9.56 tff(f84278,plain,(
% 58.13/9.56 spl5880_1186 <=> ($true = bG793($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1186])])).
% 58.13/9.56 tff(f67413,plain,(
% 58.13/9.56 ($true = bG793($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48171])).
% 58.13/9.56 tff(f48171,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG793(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38469])).
% 58.13/9.56 tff(f84276,plain,(
% 58.13/9.56 spl5880_1185),
% 58.13/9.56 inference(avatar_split_clause,[],[f67412,f84273])).
% 58.13/9.56 tff(f84273,plain,(
% 58.13/9.56 spl5880_1185 <=> ($true = bG794($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1185])])).
% 58.13/9.56 tff(f67412,plain,(
% 58.13/9.56 ($true = bG794($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48169])).
% 58.13/9.56 tff(f48169,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG794(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38468])).
% 58.13/9.56 tff(f84271,plain,(
% 58.13/9.56 spl5880_1184),
% 58.13/9.56 inference(avatar_split_clause,[],[f67411,f84268])).
% 58.13/9.56 tff(f84268,plain,(
% 58.13/9.56 spl5880_1184 <=> ($true = bG795($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1184])])).
% 58.13/9.56 tff(f67411,plain,(
% 58.13/9.56 ($true = bG795($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48167])).
% 58.13/9.56 tff(f48167,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG795(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38467])).
% 58.13/9.56 tff(f84266,plain,(
% 58.13/9.56 spl5880_1183),
% 58.13/9.56 inference(avatar_split_clause,[],[f67410,f84263])).
% 58.13/9.56 tff(f84263,plain,(
% 58.13/9.56 spl5880_1183 <=> ($true = bG796($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1183])])).
% 58.13/9.56 tff(f67410,plain,(
% 58.13/9.56 ($true = bG796($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48165])).
% 58.13/9.56 tff(f48165,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG796(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38466])).
% 58.13/9.56 tff(f84261,plain,(
% 58.13/9.56 spl5880_1182),
% 58.13/9.56 inference(avatar_split_clause,[],[f67409,f84258])).
% 58.13/9.56 tff(f84258,plain,(
% 58.13/9.56 spl5880_1182 <=> ($true = bG800($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1182])])).
% 58.13/9.56 tff(f67409,plain,(
% 58.13/9.56 ($true = bG800($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48157])).
% 58.13/9.56 tff(f48157,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG800(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38458])).
% 58.13/9.56 tff(f84256,plain,(
% 58.13/9.56 spl5880_1181),
% 58.13/9.56 inference(avatar_split_clause,[],[f67408,f84253])).
% 58.13/9.56 tff(f84253,plain,(
% 58.13/9.56 spl5880_1181 <=> ($true = bG801($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1181])])).
% 58.13/9.56 tff(f67408,plain,(
% 58.13/9.56 ($true = bG801($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48155])).
% 58.13/9.56 tff(f48155,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG801(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38457])).
% 58.13/9.56 tff(f84251,plain,(
% 58.13/9.56 spl5880_1180),
% 58.13/9.56 inference(avatar_split_clause,[],[f67401,f84248])).
% 58.13/9.56 tff(f84248,plain,(
% 58.13/9.56 spl5880_1180 <=> ($true = bG806($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1180])])).
% 58.13/9.56 tff(f67401,plain,(
% 58.13/9.56 ($true = bG806($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48142])).
% 58.13/9.56 tff(f48142,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG806(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38453])).
% 58.13/9.56 tff(f84246,plain,(
% 58.13/9.56 spl5880_1179),
% 58.13/9.56 inference(avatar_split_clause,[],[f67400,f84243])).
% 58.13/9.56 tff(f84243,plain,(
% 58.13/9.56 spl5880_1179 <=> ($true = bG807($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1179])])).
% 58.13/9.56 tff(f67400,plain,(
% 58.13/9.56 ($true = bG807($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48140])).
% 58.13/9.56 tff(f48140,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG807(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38452])).
% 58.13/9.56 tff(f84241,plain,(
% 58.13/9.56 spl5880_1178),
% 58.13/9.56 inference(avatar_split_clause,[],[f67399,f84238])).
% 58.13/9.56 tff(f84238,plain,(
% 58.13/9.56 spl5880_1178 <=> ($true = bG808($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1178])])).
% 58.13/9.56 tff(f67399,plain,(
% 58.13/9.56 ($true = bG808($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48138])).
% 58.13/9.56 tff(f48138,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG808(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38451])).
% 58.13/9.56 tff(f84236,plain,(
% 58.13/9.56 spl5880_1177),
% 58.13/9.56 inference(avatar_split_clause,[],[f67398,f84233])).
% 58.13/9.56 tff(f84233,plain,(
% 58.13/9.56 spl5880_1177 <=> ($true = bG809($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1177])])).
% 58.13/9.56 tff(f67398,plain,(
% 58.13/9.56 ($true = bG809($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48136])).
% 58.13/9.56 tff(f48136,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG809(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38450])).
% 58.13/9.56 tff(f84231,plain,(
% 58.13/9.56 spl5880_1176),
% 58.13/9.56 inference(avatar_split_clause,[],[f67391,f84228])).
% 58.13/9.56 tff(f84228,plain,(
% 58.13/9.56 spl5880_1176 <=> ($true = bG814($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1176])])).
% 58.13/9.56 tff(f67391,plain,(
% 58.13/9.56 ($true = bG814($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48123])).
% 58.13/9.56 tff(f48123,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG814(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38446])).
% 58.13/9.56 tff(f84226,plain,(
% 58.13/9.56 spl5880_1175),
% 58.13/9.56 inference(avatar_split_clause,[],[f67390,f84223])).
% 58.13/9.56 tff(f84223,plain,(
% 58.13/9.56 spl5880_1175 <=> ($true = bG815($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1175])])).
% 58.13/9.56 tff(f67390,plain,(
% 58.13/9.56 ($true = bG815($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48121])).
% 58.13/9.56 tff(f48121,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG815(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38445])).
% 58.13/9.56 tff(f84221,plain,(
% 58.13/9.56 spl5880_1174),
% 58.13/9.56 inference(avatar_split_clause,[],[f67389,f84218])).
% 58.13/9.56 tff(f84218,plain,(
% 58.13/9.56 spl5880_1174 <=> ($true = bG820($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1174])])).
% 58.13/9.56 tff(f67389,plain,(
% 58.13/9.56 ($true = bG820($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48111])).
% 58.13/9.56 tff(f48111,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG820(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38442])).
% 58.13/9.56 tff(f84216,plain,(
% 58.13/9.56 spl5880_1173),
% 58.13/9.56 inference(avatar_split_clause,[],[f67388,f84213])).
% 58.13/9.56 tff(f84213,plain,(
% 58.13/9.56 spl5880_1173 <=> ($true = bG821($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1173])])).
% 58.13/9.56 tff(f67388,plain,(
% 58.13/9.56 ($true = bG821($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48109])).
% 58.13/9.56 tff(f48109,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG821(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38441])).
% 58.13/9.56 tff(f84211,plain,(
% 58.13/9.56 spl5880_1172),
% 58.13/9.56 inference(avatar_split_clause,[],[f67387,f84208])).
% 58.13/9.56 tff(f84208,plain,(
% 58.13/9.56 spl5880_1172 <=> ($true = bG822($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1172])])).
% 58.13/9.56 tff(f67387,plain,(
% 58.13/9.56 ($true = bG822($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48107])).
% 58.13/9.56 tff(f48107,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG822(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38440])).
% 58.13/9.56 tff(f84206,plain,(
% 58.13/9.56 spl5880_1171),
% 58.13/9.56 inference(avatar_split_clause,[],[f67386,f84203])).
% 58.13/9.56 tff(f84203,plain,(
% 58.13/9.56 spl5880_1171 <=> ($true = bG823($true))),
% 58.13/9.56 introduced(avatar_definition,[new_symbols(naming,[spl5880_1171])])).
% 58.13/9.56 tff(f67386,plain,(
% 58.13/9.56 ($true = bG823($true))),
% 58.13/9.56 inference(equality_resolution,[],[f48105])).
% 58.13/9.56 tff(f48105,plain,(
% 58.13/9.56 ( ! [X0 : $o] : (($true = bG823(X0)) | ($true != X0)) )),
% 58.13/9.56 inference(cnf_transformation,[],[f38439])).
% 58.13/9.57 tff(f84201,plain,(
% 58.13/9.57 spl5880_1170),
% 58.13/9.57 inference(avatar_split_clause,[],[f67385,f84198])).
% 58.13/9.57 tff(f84198,plain,(
% 58.13/9.57 spl5880_1170 <=> ($true = bG828($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1170])])).
% 58.13/9.57 tff(f67385,plain,(
% 58.13/9.57 ($true = bG828($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48095])).
% 58.13/9.57 tff(f48095,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG828(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38436])).
% 58.13/9.57 tff(f84196,plain,(
% 58.13/9.57 spl5880_1169),
% 58.13/9.57 inference(avatar_split_clause,[],[f67384,f84193])).
% 58.13/9.57 tff(f84193,plain,(
% 58.13/9.57 spl5880_1169 <=> ($true = bG829($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1169])])).
% 58.13/9.57 tff(f67384,plain,(
% 58.13/9.57 ($true = bG829($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48093])).
% 58.13/9.57 tff(f48093,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG829(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38435])).
% 58.13/9.57 tff(f84191,plain,(
% 58.13/9.57 spl5880_1168),
% 58.13/9.57 inference(avatar_split_clause,[],[f67383,f84188])).
% 58.13/9.57 tff(f84188,plain,(
% 58.13/9.57 spl5880_1168 <=> ($true = bG833($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1168])])).
% 58.13/9.57 tff(f67383,plain,(
% 58.13/9.57 ($true = bG833($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48085])).
% 58.13/9.57 tff(f48085,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG833(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38427])).
% 58.13/9.57 tff(f84186,plain,(
% 58.13/9.57 spl5880_1167),
% 58.13/9.57 inference(avatar_split_clause,[],[f67382,f84183])).
% 58.13/9.57 tff(f84183,plain,(
% 58.13/9.57 spl5880_1167 <=> ($true = bG834($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1167])])).
% 58.13/9.57 tff(f67382,plain,(
% 58.13/9.57 ($true = bG834($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48083])).
% 58.13/9.57 tff(f48083,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG834(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38426])).
% 58.13/9.57 tff(f84181,plain,(
% 58.13/9.57 spl5880_1166),
% 58.13/9.57 inference(avatar_split_clause,[],[f67381,f84178])).
% 58.13/9.57 tff(f84178,plain,(
% 58.13/9.57 spl5880_1166 <=> ($true = bG835($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1166])])).
% 58.13/9.57 tff(f67381,plain,(
% 58.13/9.57 ($true = bG835($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48081])).
% 58.13/9.57 tff(f48081,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG835(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38425])).
% 58.13/9.57 tff(f84176,plain,(
% 58.13/9.57 spl5880_1165),
% 58.13/9.57 inference(avatar_split_clause,[],[f67380,f84173])).
% 58.13/9.57 tff(f84173,plain,(
% 58.13/9.57 spl5880_1165 <=> ($true = bG836($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1165])])).
% 58.13/9.57 tff(f67380,plain,(
% 58.13/9.57 ($true = bG836($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48079])).
% 58.13/9.57 tff(f48079,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG836(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38424])).
% 58.13/9.57 tff(f84171,plain,(
% 58.13/9.57 spl5880_1164),
% 58.13/9.57 inference(avatar_split_clause,[],[f67379,f84168])).
% 58.13/9.57 tff(f84168,plain,(
% 58.13/9.57 spl5880_1164 <=> ($true = bG840($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1164])])).
% 58.13/9.57 tff(f67379,plain,(
% 58.13/9.57 ($true = bG840($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48071])).
% 58.13/9.57 tff(f48071,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG840(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38416])).
% 58.13/9.57 tff(f84166,plain,(
% 58.13/9.57 spl5880_1163),
% 58.13/9.57 inference(avatar_split_clause,[],[f67378,f84163])).
% 58.13/9.57 tff(f84163,plain,(
% 58.13/9.57 spl5880_1163 <=> ($true = bG841($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1163])])).
% 58.13/9.57 tff(f67378,plain,(
% 58.13/9.57 ($true = bG841($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48069])).
% 58.13/9.57 tff(f48069,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG841(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38415])).
% 58.13/9.57 tff(f84161,plain,(
% 58.13/9.57 spl5880_1162),
% 58.13/9.57 inference(avatar_split_clause,[],[f67371,f84158])).
% 58.13/9.57 tff(f84158,plain,(
% 58.13/9.57 spl5880_1162 <=> ($true = bG846($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1162])])).
% 58.13/9.57 tff(f67371,plain,(
% 58.13/9.57 ($true = bG846($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48056])).
% 58.13/9.57 tff(f48056,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG846(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38411])).
% 58.13/9.57 tff(f84156,plain,(
% 58.13/9.57 spl5880_1161),
% 58.13/9.57 inference(avatar_split_clause,[],[f67370,f84153])).
% 58.13/9.57 tff(f84153,plain,(
% 58.13/9.57 spl5880_1161 <=> ($true = bG847($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1161])])).
% 58.13/9.57 tff(f67370,plain,(
% 58.13/9.57 ($true = bG847($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48054])).
% 58.13/9.57 tff(f48054,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG847(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38410])).
% 58.13/9.57 tff(f84151,plain,(
% 58.13/9.57 spl5880_1160),
% 58.13/9.57 inference(avatar_split_clause,[],[f67369,f84148])).
% 58.13/9.57 tff(f84148,plain,(
% 58.13/9.57 spl5880_1160 <=> ($true = bG848($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1160])])).
% 58.13/9.57 tff(f67369,plain,(
% 58.13/9.57 ($true = bG848($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48052])).
% 58.13/9.57 tff(f48052,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG848(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38409])).
% 58.13/9.57 tff(f84146,plain,(
% 58.13/9.57 spl5880_1159),
% 58.13/9.57 inference(avatar_split_clause,[],[f67368,f84143])).
% 58.13/9.57 tff(f84143,plain,(
% 58.13/9.57 spl5880_1159 <=> ($true = bG849($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1159])])).
% 58.13/9.57 tff(f67368,plain,(
% 58.13/9.57 ($true = bG849($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48050])).
% 58.13/9.57 tff(f48050,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG849(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38408])).
% 58.13/9.57 tff(f84141,plain,(
% 58.13/9.57 spl5880_1158),
% 58.13/9.57 inference(avatar_split_clause,[],[f67361,f84138])).
% 58.13/9.57 tff(f84138,plain,(
% 58.13/9.57 spl5880_1158 <=> ($true = bG862($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1158])])).
% 58.13/9.57 tff(f67361,plain,(
% 58.13/9.57 ($true = bG862($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48021])).
% 58.13/9.57 tff(f48021,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG862(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38400])).
% 58.13/9.57 tff(f84136,plain,(
% 58.13/9.57 spl5880_1157),
% 58.13/9.57 inference(avatar_split_clause,[],[f67360,f84133])).
% 58.13/9.57 tff(f84133,plain,(
% 58.13/9.57 spl5880_1157 <=> ($true = bG863($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1157])])).
% 58.13/9.57 tff(f67360,plain,(
% 58.13/9.57 ($true = bG863($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48019])).
% 58.13/9.57 tff(f48019,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG863(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38399])).
% 58.13/9.57 tff(f84131,plain,(
% 58.13/9.57 spl5880_1156),
% 58.13/9.57 inference(avatar_split_clause,[],[f67359,f84128])).
% 58.13/9.57 tff(f84128,plain,(
% 58.13/9.57 spl5880_1156 <=> ($true = bG864($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1156])])).
% 58.13/9.57 tff(f67359,plain,(
% 58.13/9.57 ($true = bG864($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48017])).
% 58.13/9.57 tff(f48017,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG864(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38398])).
% 58.13/9.57 tff(f84126,plain,(
% 58.13/9.57 spl5880_1155),
% 58.13/9.57 inference(avatar_split_clause,[],[f67358,f84123])).
% 58.13/9.57 tff(f84123,plain,(
% 58.13/9.57 spl5880_1155 <=> ($true = bG865($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1155])])).
% 58.13/9.57 tff(f67358,plain,(
% 58.13/9.57 ($true = bG865($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48015])).
% 58.13/9.57 tff(f48015,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG865(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38397])).
% 58.13/9.57 tff(f84121,plain,(
% 58.13/9.57 spl5880_1154),
% 58.13/9.57 inference(avatar_split_clause,[],[f67357,f84118])).
% 58.13/9.57 tff(f84118,plain,(
% 58.13/9.57 spl5880_1154 <=> ($true = bG869($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1154])])).
% 58.13/9.57 tff(f67357,plain,(
% 58.13/9.57 ($true = bG869($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48007])).
% 58.13/9.57 tff(f48007,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG869(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38395])).
% 58.13/9.57 tff(f84116,plain,(
% 58.13/9.57 spl5880_1153),
% 58.13/9.57 inference(avatar_split_clause,[],[f67356,f84113])).
% 58.13/9.57 tff(f84113,plain,(
% 58.13/9.57 spl5880_1153 <=> ($true = bG870($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1153])])).
% 58.13/9.57 tff(f67356,plain,(
% 58.13/9.57 ($true = bG870($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48005])).
% 58.13/9.57 tff(f48005,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG870(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38394])).
% 58.13/9.57 tff(f84111,plain,(
% 58.13/9.57 spl5880_1152),
% 58.13/9.57 inference(avatar_split_clause,[],[f67354,f84108])).
% 58.13/9.57 tff(f84108,plain,(
% 58.13/9.57 spl5880_1152 <=> ($true = bG872($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1152])])).
% 58.13/9.57 tff(f67354,plain,(
% 58.13/9.57 ($true = bG872($true))),
% 58.13/9.57 inference(equality_resolution,[],[f48001])).
% 58.13/9.57 tff(f48001,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG872(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38393])).
% 58.13/9.57 tff(f84106,plain,(
% 58.13/9.57 spl5880_1151),
% 58.13/9.57 inference(avatar_split_clause,[],[f67353,f84103])).
% 58.13/9.57 tff(f84103,plain,(
% 58.13/9.57 spl5880_1151 <=> ($true = bG873($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1151])])).
% 58.13/9.57 tff(f67353,plain,(
% 58.13/9.57 ($true = bG873($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47999])).
% 58.13/9.57 tff(f47999,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG873(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38392])).
% 58.13/9.57 tff(f84101,plain,(
% 58.13/9.57 spl5880_1150),
% 58.13/9.57 inference(avatar_split_clause,[],[f67351,f84098])).
% 58.13/9.57 tff(f84098,plain,(
% 58.13/9.57 spl5880_1150 <=> ($true = bG875($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1150])])).
% 58.13/9.57 tff(f67351,plain,(
% 58.13/9.57 ($true = bG875($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47995])).
% 58.13/9.57 tff(f47995,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG875(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38391])).
% 58.13/9.57 tff(f84096,plain,(
% 58.13/9.57 spl5880_1149),
% 58.13/9.57 inference(avatar_split_clause,[],[f67350,f84093])).
% 58.13/9.57 tff(f84093,plain,(
% 58.13/9.57 spl5880_1149 <=> ($true = bG876($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1149])])).
% 58.13/9.57 tff(f67350,plain,(
% 58.13/9.57 ($true = bG876($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47993])).
% 58.13/9.57 tff(f47993,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG876(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38390])).
% 58.13/9.57 tff(f84091,plain,(
% 58.13/9.57 spl5880_1148),
% 58.13/9.57 inference(avatar_split_clause,[],[f67349,f84088])).
% 58.13/9.57 tff(f84088,plain,(
% 58.13/9.57 spl5880_1148 <=> ($true = bG877($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1148])])).
% 58.13/9.57 tff(f67349,plain,(
% 58.13/9.57 ($true = bG877($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47991])).
% 58.13/9.57 tff(f47991,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG877(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38389])).
% 58.13/9.57 tff(f84086,plain,(
% 58.13/9.57 spl5880_1147),
% 58.13/9.57 inference(avatar_split_clause,[],[f67348,f84083])).
% 58.13/9.57 tff(f84083,plain,(
% 58.13/9.57 spl5880_1147 <=> ($true = bG878($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1147])])).
% 58.13/9.57 tff(f67348,plain,(
% 58.13/9.57 ($true = bG878($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47989])).
% 58.13/9.57 tff(f47989,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG878(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38388])).
% 58.13/9.57 tff(f84081,plain,(
% 58.13/9.57 spl5880_1146),
% 58.13/9.57 inference(avatar_split_clause,[],[f67347,f84078])).
% 58.13/9.57 tff(f84078,plain,(
% 58.13/9.57 spl5880_1146 <=> ($true = bG879($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1146])])).
% 58.13/9.57 tff(f67347,plain,(
% 58.13/9.57 ($true = bG879($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47987])).
% 58.13/9.57 tff(f47987,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG879(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38387])).
% 58.13/9.57 tff(f84076,plain,(
% 58.13/9.57 spl5880_1145),
% 58.13/9.57 inference(avatar_split_clause,[],[f67346,f84073])).
% 58.13/9.57 tff(f84073,plain,(
% 58.13/9.57 spl5880_1145 <=> ($true = bG880($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1145])])).
% 58.13/9.57 tff(f67346,plain,(
% 58.13/9.57 ($true = bG880($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47985])).
% 58.13/9.57 tff(f47985,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG880(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38386])).
% 58.13/9.57 tff(f84071,plain,(
% 58.13/9.57 spl5880_1144),
% 58.13/9.57 inference(avatar_split_clause,[],[f67345,f84068])).
% 58.13/9.57 tff(f84068,plain,(
% 58.13/9.57 spl5880_1144 <=> ($true = bG881($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1144])])).
% 58.13/9.57 tff(f67345,plain,(
% 58.13/9.57 ($true = bG881($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47983])).
% 58.13/9.57 tff(f47983,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG881(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38385])).
% 58.13/9.57 tff(f84066,plain,(
% 58.13/9.57 spl5880_1143),
% 58.13/9.57 inference(avatar_split_clause,[],[f67344,f84063])).
% 58.13/9.57 tff(f84063,plain,(
% 58.13/9.57 spl5880_1143 <=> ($true = bG882($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1143])])).
% 58.13/9.57 tff(f67344,plain,(
% 58.13/9.57 ($true = bG882($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47981])).
% 58.13/9.57 tff(f47981,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG882(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38384])).
% 58.13/9.57 tff(f84061,plain,(
% 58.13/9.57 spl5880_1142),
% 58.13/9.57 inference(avatar_split_clause,[],[f67343,f84058])).
% 58.13/9.57 tff(f84058,plain,(
% 58.13/9.57 spl5880_1142 <=> ($true = bG889($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1142])])).
% 58.13/9.57 tff(f67343,plain,(
% 58.13/9.57 ($true = bG889($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47971])).
% 58.13/9.57 tff(f47971,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG889(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38383])).
% 58.13/9.57 tff(f84056,plain,(
% 58.13/9.57 spl5880_1141),
% 58.13/9.57 inference(avatar_split_clause,[],[f67342,f84053])).
% 58.13/9.57 tff(f84053,plain,(
% 58.13/9.57 spl5880_1141 <=> ($true = bG890($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1141])])).
% 58.13/9.57 tff(f67342,plain,(
% 58.13/9.57 ($true = bG890($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47969])).
% 58.13/9.57 tff(f47969,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG890(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38382])).
% 58.13/9.57 tff(f84051,plain,(
% 58.13/9.57 spl5880_1140),
% 58.13/9.57 inference(avatar_split_clause,[],[f67340,f84048])).
% 58.13/9.57 tff(f84048,plain,(
% 58.13/9.57 spl5880_1140 <=> ($true = bG892($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1140])])).
% 58.13/9.57 tff(f67340,plain,(
% 58.13/9.57 ($true = bG892($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47965])).
% 58.13/9.57 tff(f47965,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG892(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38381])).
% 58.13/9.57 tff(f84046,plain,(
% 58.13/9.57 spl5880_1139),
% 58.13/9.57 inference(avatar_split_clause,[],[f67339,f84043])).
% 58.13/9.57 tff(f84043,plain,(
% 58.13/9.57 spl5880_1139 <=> ($true = bG893($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1139])])).
% 58.13/9.57 tff(f67339,plain,(
% 58.13/9.57 ($true = bG893($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47963])).
% 58.13/9.57 tff(f47963,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG893(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38380])).
% 58.13/9.57 tff(f84041,plain,(
% 58.13/9.57 spl5880_1138),
% 58.13/9.57 inference(avatar_split_clause,[],[f67337,f84038])).
% 58.13/9.57 tff(f84038,plain,(
% 58.13/9.57 spl5880_1138 <=> ($true = bG895($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1138])])).
% 58.13/9.57 tff(f67337,plain,(
% 58.13/9.57 ($true = bG895($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47959])).
% 58.13/9.57 tff(f47959,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG895(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38379])).
% 58.13/9.57 tff(f84036,plain,(
% 58.13/9.57 spl5880_1137),
% 58.13/9.57 inference(avatar_split_clause,[],[f67336,f84033])).
% 58.13/9.57 tff(f84033,plain,(
% 58.13/9.57 spl5880_1137 <=> ($true = bG896($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1137])])).
% 58.13/9.57 tff(f67336,plain,(
% 58.13/9.57 ($true = bG896($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47957])).
% 58.13/9.57 tff(f47957,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG896(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38378])).
% 58.13/9.57 tff(f84031,plain,(
% 58.13/9.57 spl5880_1136),
% 58.13/9.57 inference(avatar_split_clause,[],[f67335,f84028])).
% 58.13/9.57 tff(f84028,plain,(
% 58.13/9.57 spl5880_1136 <=> ($true = bG897($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1136])])).
% 58.13/9.57 tff(f67335,plain,(
% 58.13/9.57 ($true = bG897($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47955])).
% 58.13/9.57 tff(f47955,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG897(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38377])).
% 58.13/9.57 tff(f84026,plain,(
% 58.13/9.57 spl5880_1135),
% 58.13/9.57 inference(avatar_split_clause,[],[f67334,f84023])).
% 58.13/9.57 tff(f84023,plain,(
% 58.13/9.57 spl5880_1135 <=> ($true = bG898($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1135])])).
% 58.13/9.57 tff(f67334,plain,(
% 58.13/9.57 ($true = bG898($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47953])).
% 58.13/9.57 tff(f47953,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG898(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38376])).
% 58.13/9.57 tff(f84021,plain,(
% 58.13/9.57 spl5880_1134),
% 58.13/9.57 inference(avatar_split_clause,[],[f67331,f84018])).
% 58.13/9.57 tff(f84018,plain,(
% 58.13/9.57 spl5880_1134 <=> ($true = bG901($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1134])])).
% 58.13/9.57 tff(f67331,plain,(
% 58.13/9.57 ($true = bG901($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47947])).
% 58.13/9.57 tff(f47947,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG901(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38375])).
% 58.13/9.57 tff(f84016,plain,(
% 58.13/9.57 spl5880_1133),
% 58.13/9.57 inference(avatar_split_clause,[],[f67330,f84013])).
% 58.13/9.57 tff(f84013,plain,(
% 58.13/9.57 spl5880_1133 <=> ($true = bG902($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1133])])).
% 58.13/9.57 tff(f67330,plain,(
% 58.13/9.57 ($true = bG902($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47945])).
% 58.13/9.57 tff(f47945,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG902(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38374])).
% 58.13/9.57 tff(f84011,plain,(
% 58.13/9.57 spl5880_1132),
% 58.13/9.57 inference(avatar_split_clause,[],[f67327,f84008])).
% 58.13/9.57 tff(f84008,plain,(
% 58.13/9.57 spl5880_1132 <=> ($true = bG905($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1132])])).
% 58.13/9.57 tff(f67327,plain,(
% 58.13/9.57 ($true = bG905($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47939])).
% 58.13/9.57 tff(f47939,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG905(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38373])).
% 58.13/9.57 tff(f84006,plain,(
% 58.13/9.57 spl5880_1131),
% 58.13/9.57 inference(avatar_split_clause,[],[f67326,f84003])).
% 58.13/9.57 tff(f84003,plain,(
% 58.13/9.57 spl5880_1131 <=> ($true = bG906($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1131])])).
% 58.13/9.57 tff(f67326,plain,(
% 58.13/9.57 ($true = bG906($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47937])).
% 58.13/9.57 tff(f47937,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG906(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38372])).
% 58.13/9.57 tff(f84001,plain,(
% 58.13/9.57 spl5880_1130),
% 58.13/9.57 inference(avatar_split_clause,[],[f67325,f83998])).
% 58.13/9.57 tff(f83998,plain,(
% 58.13/9.57 spl5880_1130 <=> ($true = bG907($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1130])])).
% 58.13/9.57 tff(f67325,plain,(
% 58.13/9.57 ($true = bG907($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47935])).
% 58.13/9.57 tff(f47935,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG907(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38371])).
% 58.13/9.57 tff(f83996,plain,(
% 58.13/9.57 spl5880_1129),
% 58.13/9.57 inference(avatar_split_clause,[],[f67324,f83993])).
% 58.13/9.57 tff(f83993,plain,(
% 58.13/9.57 spl5880_1129 <=> ($true = bG908($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1129])])).
% 58.13/9.57 tff(f67324,plain,(
% 58.13/9.57 ($true = bG908($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47933])).
% 58.13/9.57 tff(f47933,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG908(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38370])).
% 58.13/9.57 tff(f83991,plain,(
% 58.13/9.57 spl5880_1128),
% 58.13/9.57 inference(avatar_split_clause,[],[f67321,f83988])).
% 58.13/9.57 tff(f83988,plain,(
% 58.13/9.57 spl5880_1128 <=> ($true = bG911($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1128])])).
% 58.13/9.57 tff(f67321,plain,(
% 58.13/9.57 ($true = bG911($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47927])).
% 58.13/9.57 tff(f47927,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG911(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38369])).
% 58.13/9.57 tff(f83986,plain,(
% 58.13/9.57 spl5880_1127),
% 58.13/9.57 inference(avatar_split_clause,[],[f67320,f83983])).
% 58.13/9.57 tff(f83983,plain,(
% 58.13/9.57 spl5880_1127 <=> ($true = bG912($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1127])])).
% 58.13/9.57 tff(f67320,plain,(
% 58.13/9.57 ($true = bG912($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47925])).
% 58.13/9.57 tff(f47925,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG912(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38368])).
% 58.13/9.57 tff(f83981,plain,(
% 58.13/9.57 spl5880_1126),
% 58.13/9.57 inference(avatar_split_clause,[],[f67317,f83978])).
% 58.13/9.57 tff(f83978,plain,(
% 58.13/9.57 spl5880_1126 <=> ($true = bG915($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1126])])).
% 58.13/9.57 tff(f67317,plain,(
% 58.13/9.57 ($true = bG915($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47919])).
% 58.13/9.57 tff(f47919,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG915(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38367])).
% 58.13/9.57 tff(f83976,plain,(
% 58.13/9.57 spl5880_1125),
% 58.13/9.57 inference(avatar_split_clause,[],[f67316,f83973])).
% 58.13/9.57 tff(f83973,plain,(
% 58.13/9.57 spl5880_1125 <=> ($true = bG916($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1125])])).
% 58.13/9.57 tff(f67316,plain,(
% 58.13/9.57 ($true = bG916($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47917])).
% 58.13/9.57 tff(f47917,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG916(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38366])).
% 58.13/9.57 tff(f83971,plain,(
% 58.13/9.57 spl5880_1124),
% 58.13/9.57 inference(avatar_split_clause,[],[f67315,f83968])).
% 58.13/9.57 tff(f83968,plain,(
% 58.13/9.57 spl5880_1124 <=> ($true = bG917($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1124])])).
% 58.13/9.57 tff(f67315,plain,(
% 58.13/9.57 ($true = bG917($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47915])).
% 58.13/9.57 tff(f47915,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG917(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38365])).
% 58.13/9.57 tff(f83966,plain,(
% 58.13/9.57 spl5880_1123),
% 58.13/9.57 inference(avatar_split_clause,[],[f67314,f83963])).
% 58.13/9.57 tff(f83963,plain,(
% 58.13/9.57 spl5880_1123 <=> ($true = bG918($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1123])])).
% 58.13/9.57 tff(f67314,plain,(
% 58.13/9.57 ($true = bG918($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47913])).
% 58.13/9.57 tff(f47913,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG918(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38364])).
% 58.13/9.57 tff(f83961,plain,(
% 58.13/9.57 spl5880_1122),
% 58.13/9.57 inference(avatar_split_clause,[],[f67313,f83958])).
% 58.13/9.57 tff(f83958,plain,(
% 58.13/9.57 spl5880_1122 <=> ($true = bG919($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1122])])).
% 58.13/9.57 tff(f67313,plain,(
% 58.13/9.57 ($true = bG919($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47911])).
% 58.13/9.57 tff(f47911,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG919(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38363])).
% 58.13/9.57 tff(f83956,plain,(
% 58.13/9.57 spl5880_1121),
% 58.13/9.57 inference(avatar_split_clause,[],[f67312,f83953])).
% 58.13/9.57 tff(f83953,plain,(
% 58.13/9.57 spl5880_1121 <=> ($true = bG920($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1121])])).
% 58.13/9.57 tff(f67312,plain,(
% 58.13/9.57 ($true = bG920($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47909])).
% 58.13/9.57 tff(f47909,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG920(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38362])).
% 58.13/9.57 tff(f83951,plain,(
% 58.13/9.57 spl5880_1120),
% 58.13/9.57 inference(avatar_split_clause,[],[f67311,f83948])).
% 58.13/9.57 tff(f83948,plain,(
% 58.13/9.57 spl5880_1120 <=> ($true = bG921($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1120])])).
% 58.13/9.57 tff(f67311,plain,(
% 58.13/9.57 ($true = bG921($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47907])).
% 58.13/9.57 tff(f47907,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG921(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38361])).
% 58.13/9.57 tff(f83946,plain,(
% 58.13/9.57 spl5880_1119),
% 58.13/9.57 inference(avatar_split_clause,[],[f67310,f83943])).
% 58.13/9.57 tff(f83943,plain,(
% 58.13/9.57 spl5880_1119 <=> ($true = bG922($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1119])])).
% 58.13/9.57 tff(f67310,plain,(
% 58.13/9.57 ($true = bG922($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47905])).
% 58.13/9.57 tff(f47905,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG922(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38360])).
% 58.13/9.57 tff(f83941,plain,(
% 58.13/9.57 spl5880_1118),
% 58.13/9.57 inference(avatar_split_clause,[],[f67308,f83938])).
% 58.13/9.57 tff(f83938,plain,(
% 58.13/9.57 spl5880_1118 <=> ($true = bG925($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1118])])).
% 58.13/9.57 tff(f67308,plain,(
% 58.13/9.57 ($true = bG925($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47899])).
% 58.13/9.57 tff(f47899,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG925(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38359])).
% 58.13/9.57 tff(f83936,plain,(
% 58.13/9.57 spl5880_1117),
% 58.13/9.57 inference(avatar_split_clause,[],[f67307,f83933])).
% 58.13/9.57 tff(f83933,plain,(
% 58.13/9.57 spl5880_1117 <=> ($true = bG926($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1117])])).
% 58.13/9.57 tff(f67307,plain,(
% 58.13/9.57 ($true = bG926($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47897])).
% 58.13/9.57 tff(f47897,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG926(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38358])).
% 58.13/9.57 tff(f83931,plain,(
% 58.13/9.57 spl5880_1116),
% 58.13/9.57 inference(avatar_split_clause,[],[f67306,f83928])).
% 58.13/9.57 tff(f83928,plain,(
% 58.13/9.57 spl5880_1116 <=> ($true = bG927($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1116])])).
% 58.13/9.57 tff(f67306,plain,(
% 58.13/9.57 ($true = bG927($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47895])).
% 58.13/9.57 tff(f47895,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG927(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38357])).
% 58.13/9.57 tff(f83926,plain,(
% 58.13/9.57 spl5880_1115),
% 58.13/9.57 inference(avatar_split_clause,[],[f67305,f83923])).
% 58.13/9.57 tff(f83923,plain,(
% 58.13/9.57 spl5880_1115 <=> ($true = bG928($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1115])])).
% 58.13/9.57 tff(f67305,plain,(
% 58.13/9.57 ($true = bG928($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47893])).
% 58.13/9.57 tff(f47893,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG928(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38356])).
% 58.13/9.57 tff(f83921,plain,(
% 58.13/9.57 spl5880_1114),
% 58.13/9.57 inference(avatar_split_clause,[],[f67304,f83918])).
% 58.13/9.57 tff(f83918,plain,(
% 58.13/9.57 spl5880_1114 <=> ($true = bG929($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1114])])).
% 58.13/9.57 tff(f67304,plain,(
% 58.13/9.57 ($true = bG929($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47891])).
% 58.13/9.57 tff(f47891,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG929(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38355])).
% 58.13/9.57 tff(f83916,plain,(
% 58.13/9.57 spl5880_1113),
% 58.13/9.57 inference(avatar_split_clause,[],[f67303,f83913])).
% 58.13/9.57 tff(f83913,plain,(
% 58.13/9.57 spl5880_1113 <=> ($true = bG930($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1113])])).
% 58.13/9.57 tff(f67303,plain,(
% 58.13/9.57 ($true = bG930($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47889])).
% 58.13/9.57 tff(f47889,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG930(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38354])).
% 58.13/9.57 tff(f83911,plain,(
% 58.13/9.57 spl5880_1112),
% 58.13/9.57 inference(avatar_split_clause,[],[f67302,f83908])).
% 58.13/9.57 tff(f83908,plain,(
% 58.13/9.57 spl5880_1112 <=> ($true = bG931($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1112])])).
% 58.13/9.57 tff(f67302,plain,(
% 58.13/9.57 ($true = bG931($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47887])).
% 58.13/9.57 tff(f47887,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG931(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38353])).
% 58.13/9.57 tff(f83906,plain,(
% 58.13/9.57 spl5880_1111),
% 58.13/9.57 inference(avatar_split_clause,[],[f67301,f83903])).
% 58.13/9.57 tff(f83903,plain,(
% 58.13/9.57 spl5880_1111 <=> ($true = bG932($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1111])])).
% 58.13/9.57 tff(f67301,plain,(
% 58.13/9.57 ($true = bG932($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47885])).
% 58.13/9.57 tff(f47885,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG932(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38352])).
% 58.13/9.57 tff(f83901,plain,(
% 58.13/9.57 spl5880_1110),
% 58.13/9.57 inference(avatar_split_clause,[],[f67292,f83898])).
% 58.13/9.57 tff(f83898,plain,(
% 58.13/9.57 spl5880_1110 <=> ($true = bG941($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1110])])).
% 58.13/9.57 tff(f67292,plain,(
% 58.13/9.57 ($true = bG941($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47860])).
% 58.13/9.57 tff(f47860,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG941(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38344])).
% 58.13/9.57 tff(f83896,plain,(
% 58.13/9.57 spl5880_1109),
% 58.13/9.57 inference(avatar_split_clause,[],[f67291,f83893])).
% 58.13/9.57 tff(f83893,plain,(
% 58.13/9.57 spl5880_1109 <=> ($true = bG942($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1109])])).
% 58.13/9.57 tff(f67291,plain,(
% 58.13/9.57 ($true = bG942($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47858])).
% 58.13/9.57 tff(f47858,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG942(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38343])).
% 58.13/9.57 tff(f83891,plain,(
% 58.13/9.57 spl5880_1108),
% 58.13/9.57 inference(avatar_split_clause,[],[f67290,f83888])).
% 58.13/9.57 tff(f83888,plain,(
% 58.13/9.57 spl5880_1108 <=> ($true = bG943($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1108])])).
% 58.13/9.57 tff(f67290,plain,(
% 58.13/9.57 ($true = bG943($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47856])).
% 58.13/9.57 tff(f47856,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG943(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38342])).
% 58.13/9.57 tff(f83886,plain,(
% 58.13/9.57 spl5880_1107),
% 58.13/9.57 inference(avatar_split_clause,[],[f67289,f83883])).
% 58.13/9.57 tff(f83883,plain,(
% 58.13/9.57 spl5880_1107 <=> ($true = bG944($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1107])])).
% 58.13/9.57 tff(f67289,plain,(
% 58.13/9.57 ($true = bG944($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47854])).
% 58.13/9.57 tff(f47854,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG944(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38341])).
% 58.13/9.57 tff(f83881,plain,(
% 58.13/9.57 spl5880_1106),
% 58.13/9.57 inference(avatar_split_clause,[],[f67280,f83878])).
% 58.13/9.57 tff(f83878,plain,(
% 58.13/9.57 spl5880_1106 <=> ($true = bG953($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1106])])).
% 58.13/9.57 tff(f67280,plain,(
% 58.13/9.57 ($true = bG953($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47829])).
% 58.13/9.57 tff(f47829,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG953(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38333])).
% 58.13/9.57 tff(f83876,plain,(
% 58.13/9.57 spl5880_1105),
% 58.13/9.57 inference(avatar_split_clause,[],[f67279,f83873])).
% 58.13/9.57 tff(f83873,plain,(
% 58.13/9.57 spl5880_1105 <=> ($true = bG954($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1105])])).
% 58.13/9.57 tff(f67279,plain,(
% 58.13/9.57 ($true = bG954($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47827])).
% 58.13/9.57 tff(f47827,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG954(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38332])).
% 58.13/9.57 tff(f83871,plain,(
% 58.13/9.57 spl5880_1104),
% 58.13/9.57 inference(avatar_split_clause,[],[f67270,f83868])).
% 58.13/9.57 tff(f83868,plain,(
% 58.13/9.57 spl5880_1104 <=> ($true = bG963($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1104])])).
% 58.13/9.57 tff(f67270,plain,(
% 58.13/9.57 ($true = bG963($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47802])).
% 58.13/9.57 tff(f47802,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG963(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38324])).
% 58.13/9.57 tff(f83866,plain,(
% 58.13/9.57 spl5880_1103),
% 58.13/9.57 inference(avatar_split_clause,[],[f67269,f83863])).
% 58.13/9.57 tff(f83863,plain,(
% 58.13/9.57 spl5880_1103 <=> ($true = bG964($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1103])])).
% 58.13/9.57 tff(f67269,plain,(
% 58.13/9.57 ($true = bG964($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47800])).
% 58.13/9.57 tff(f47800,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG964(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38323])).
% 58.13/9.57 tff(f83861,plain,(
% 58.13/9.57 spl5880_1102),
% 58.13/9.57 inference(avatar_split_clause,[],[f67268,f83858])).
% 58.13/9.57 tff(f83858,plain,(
% 58.13/9.57 spl5880_1102 <=> ($true = bG965($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1102])])).
% 58.13/9.57 tff(f67268,plain,(
% 58.13/9.57 ($true = bG965($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47798])).
% 58.13/9.57 tff(f47798,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG965(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38322])).
% 58.13/9.57 tff(f83856,plain,(
% 58.13/9.57 spl5880_1101),
% 58.13/9.57 inference(avatar_split_clause,[],[f67267,f83853])).
% 58.13/9.57 tff(f83853,plain,(
% 58.13/9.57 spl5880_1101 <=> ($true = bG966($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1101])])).
% 58.13/9.57 tff(f67267,plain,(
% 58.13/9.57 ($true = bG966($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47796])).
% 58.13/9.57 tff(f47796,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG966(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38321])).
% 58.13/9.57 tff(f83851,plain,(
% 58.13/9.57 spl5880_1100),
% 58.13/9.57 inference(avatar_split_clause,[],[f67258,f83848])).
% 58.13/9.57 tff(f83848,plain,(
% 58.13/9.57 spl5880_1100 <=> ($true = bG981($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1100])])).
% 58.13/9.57 tff(f67258,plain,(
% 58.13/9.57 ($true = bG981($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47756])).
% 58.13/9.57 tff(f47756,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG981(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38309])).
% 58.13/9.57 tff(f83846,plain,(
% 58.13/9.57 spl5880_1099),
% 58.13/9.57 inference(avatar_split_clause,[],[f67257,f83843])).
% 58.13/9.57 tff(f83843,plain,(
% 58.13/9.57 spl5880_1099 <=> ($true = bG982($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1099])])).
% 58.13/9.57 tff(f67257,plain,(
% 58.13/9.57 ($true = bG982($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47754])).
% 58.13/9.57 tff(f47754,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG982(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38308])).
% 58.13/9.57 tff(f83841,plain,(
% 58.13/9.57 spl5880_1098),
% 58.13/9.57 inference(avatar_split_clause,[],[f67251,f83838])).
% 58.13/9.57 tff(f83838,plain,(
% 58.13/9.57 spl5880_1098 <=> ($true = bG986($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1098])])).
% 58.13/9.57 tff(f67251,plain,(
% 58.13/9.57 ($true = bG986($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47740])).
% 58.13/9.57 tff(f47740,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG986(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38304])).
% 58.13/9.57 tff(f83836,plain,(
% 58.13/9.57 spl5880_1097),
% 58.13/9.57 inference(avatar_split_clause,[],[f67250,f83833])).
% 58.13/9.57 tff(f83833,plain,(
% 58.13/9.57 spl5880_1097 <=> ($true = bG987($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1097])])).
% 58.13/9.57 tff(f67250,plain,(
% 58.13/9.57 ($true = bG987($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47738])).
% 58.13/9.57 tff(f47738,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG987(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38303])).
% 58.13/9.57 tff(f83831,plain,(
% 58.13/9.57 spl5880_1096),
% 58.13/9.57 inference(avatar_split_clause,[],[f67243,f83828])).
% 58.13/9.57 tff(f83828,plain,(
% 58.13/9.57 spl5880_1096 <=> ($true = bG1007($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1096])])).
% 58.13/9.57 tff(f67243,plain,(
% 58.13/9.57 ($true = bG1007($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47699])).
% 58.13/9.57 tff(f47699,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1007(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38301])).
% 58.13/9.57 tff(f83826,plain,(
% 58.13/9.57 spl5880_1095),
% 58.13/9.57 inference(avatar_split_clause,[],[f67242,f83823])).
% 58.13/9.57 tff(f83823,plain,(
% 58.13/9.57 spl5880_1095 <=> ($true = bG1008($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1095])])).
% 58.13/9.57 tff(f67242,plain,(
% 58.13/9.57 ($true = bG1008($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47697])).
% 58.13/9.57 tff(f47697,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1008(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38300])).
% 58.13/9.57 tff(f83821,plain,(
% 58.13/9.57 spl5880_1094),
% 58.13/9.57 inference(avatar_split_clause,[],[f67241,f83818])).
% 58.13/9.57 tff(f83818,plain,(
% 58.13/9.57 spl5880_1094 <=> ($true = bG1009($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1094])])).
% 58.13/9.57 tff(f67241,plain,(
% 58.13/9.57 ($true = bG1009($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47695])).
% 58.13/9.57 tff(f47695,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1009(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38299])).
% 58.13/9.57 tff(f83816,plain,(
% 58.13/9.57 spl5880_1093),
% 58.13/9.57 inference(avatar_split_clause,[],[f67240,f83813])).
% 58.13/9.57 tff(f83813,plain,(
% 58.13/9.57 spl5880_1093 <=> ($true = bG1010($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1093])])).
% 58.13/9.57 tff(f67240,plain,(
% 58.13/9.57 ($true = bG1010($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47693])).
% 58.13/9.57 tff(f47693,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1010(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38298])).
% 58.13/9.57 tff(f83811,plain,(
% 58.13/9.57 spl5880_1092),
% 58.13/9.57 inference(avatar_split_clause,[],[f67238,f83808])).
% 58.13/9.57 tff(f83808,plain,(
% 58.13/9.57 spl5880_1092 <=> ($true = bG1012($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1092])])).
% 58.13/9.57 tff(f67238,plain,(
% 58.13/9.57 ($true = bG1012($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47689])).
% 58.13/9.57 tff(f47689,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1012(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38297])).
% 58.13/9.57 tff(f83806,plain,(
% 58.13/9.57 spl5880_1091),
% 58.13/9.57 inference(avatar_split_clause,[],[f67237,f83803])).
% 58.13/9.57 tff(f83803,plain,(
% 58.13/9.57 spl5880_1091 <=> ($true = bG1013($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1091])])).
% 58.13/9.57 tff(f67237,plain,(
% 58.13/9.57 ($true = bG1013($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47687])).
% 58.13/9.57 tff(f47687,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1013(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38296])).
% 58.13/9.57 tff(f83801,plain,(
% 58.13/9.57 spl5880_1090),
% 58.13/9.57 inference(avatar_split_clause,[],[f67236,f83798])).
% 58.13/9.57 tff(f83798,plain,(
% 58.13/9.57 spl5880_1090 <=> ($true = bG1014($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1090])])).
% 58.13/9.57 tff(f67236,plain,(
% 58.13/9.57 ($true = bG1014($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47685])).
% 58.13/9.57 tff(f47685,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1014(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38295])).
% 58.13/9.57 tff(f83796,plain,(
% 58.13/9.57 spl5880_1089),
% 58.13/9.57 inference(avatar_split_clause,[],[f67235,f83793])).
% 58.13/9.57 tff(f83793,plain,(
% 58.13/9.57 spl5880_1089 <=> ($true = bG1015($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1089])])).
% 58.13/9.57 tff(f67235,plain,(
% 58.13/9.57 ($true = bG1015($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47683])).
% 58.13/9.57 tff(f47683,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1015(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38294])).
% 58.13/9.57 tff(f83791,plain,(
% 58.13/9.57 spl5880_1088),
% 58.13/9.57 inference(avatar_split_clause,[],[f67234,f83788])).
% 58.13/9.57 tff(f83788,plain,(
% 58.13/9.57 spl5880_1088 <=> ($true = bG1016($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1088])])).
% 58.13/9.57 tff(f67234,plain,(
% 58.13/9.57 ($true = bG1016($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47681])).
% 58.13/9.57 tff(f47681,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1016(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38293])).
% 58.13/9.57 tff(f83786,plain,(
% 58.13/9.57 spl5880_1087),
% 58.13/9.57 inference(avatar_split_clause,[],[f67233,f83783])).
% 58.13/9.57 tff(f83783,plain,(
% 58.13/9.57 spl5880_1087 <=> ($true = bG1017($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1087])])).
% 58.13/9.57 tff(f67233,plain,(
% 58.13/9.57 ($true = bG1017($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47679])).
% 58.13/9.57 tff(f47679,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1017(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38292])).
% 58.13/9.57 tff(f83781,plain,(
% 58.13/9.57 spl5880_1086),
% 58.13/9.57 inference(avatar_split_clause,[],[f67232,f83778])).
% 58.13/9.57 tff(f83778,plain,(
% 58.13/9.57 spl5880_1086 <=> ($true = bG1018($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1086])])).
% 58.13/9.57 tff(f67232,plain,(
% 58.13/9.57 ($true = bG1018($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47677])).
% 58.13/9.57 tff(f47677,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1018(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38291])).
% 58.13/9.57 tff(f83776,plain,(
% 58.13/9.57 spl5880_1085),
% 58.13/9.57 inference(avatar_split_clause,[],[f67231,f83773])).
% 58.13/9.57 tff(f83773,plain,(
% 58.13/9.57 spl5880_1085 <=> ($true = bG1019($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1085])])).
% 58.13/9.57 tff(f67231,plain,(
% 58.13/9.57 ($true = bG1019($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47675])).
% 58.13/9.57 tff(f47675,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1019(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38290])).
% 58.13/9.57 tff(f83771,plain,(
% 58.13/9.57 spl5880_1084),
% 58.13/9.57 inference(avatar_split_clause,[],[f67229,f83768])).
% 58.13/9.57 tff(f83768,plain,(
% 58.13/9.57 spl5880_1084 <=> ($true = bG1021($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1084])])).
% 58.13/9.57 tff(f67229,plain,(
% 58.13/9.57 ($true = bG1021($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47671])).
% 58.13/9.57 tff(f47671,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1021(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38289])).
% 58.13/9.57 tff(f83766,plain,(
% 58.13/9.57 spl5880_1083),
% 58.13/9.57 inference(avatar_split_clause,[],[f67228,f83763])).
% 58.13/9.57 tff(f83763,plain,(
% 58.13/9.57 spl5880_1083 <=> ($true = bG1022($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1083])])).
% 58.13/9.57 tff(f67228,plain,(
% 58.13/9.57 ($true = bG1022($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47669])).
% 58.13/9.57 tff(f47669,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1022(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38288])).
% 58.13/9.57 tff(f83761,plain,(
% 58.13/9.57 spl5880_1082),
% 58.13/9.57 inference(avatar_split_clause,[],[f67227,f83758])).
% 58.13/9.57 tff(f83758,plain,(
% 58.13/9.57 spl5880_1082 <=> ($true = bG1023($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1082])])).
% 58.13/9.57 tff(f67227,plain,(
% 58.13/9.57 ($true = bG1023($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47667])).
% 58.13/9.57 tff(f47667,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1023(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38287])).
% 58.13/9.57 tff(f83756,plain,(
% 58.13/9.57 spl5880_1081),
% 58.13/9.57 inference(avatar_split_clause,[],[f67226,f83753])).
% 58.13/9.57 tff(f83753,plain,(
% 58.13/9.57 spl5880_1081 <=> ($true = bG1024($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1081])])).
% 58.13/9.57 tff(f67226,plain,(
% 58.13/9.57 ($true = bG1024($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47665])).
% 58.13/9.57 tff(f47665,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1024(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38286])).
% 58.13/9.57 tff(f83751,plain,(
% 58.13/9.57 spl5880_1080),
% 58.13/9.57 inference(avatar_split_clause,[],[f67224,f83748])).
% 58.13/9.57 tff(f83748,plain,(
% 58.13/9.57 spl5880_1080 <=> ($true = bG1026($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1080])])).
% 58.13/9.57 tff(f67224,plain,(
% 58.13/9.57 ($true = bG1026($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47661])).
% 58.13/9.57 tff(f47661,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1026(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38285])).
% 58.13/9.57 tff(f83746,plain,(
% 58.13/9.57 spl5880_1079),
% 58.13/9.57 inference(avatar_split_clause,[],[f67223,f83743])).
% 58.13/9.57 tff(f83743,plain,(
% 58.13/9.57 spl5880_1079 <=> ($true = bG1027($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1079])])).
% 58.13/9.57 tff(f67223,plain,(
% 58.13/9.57 ($true = bG1027($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47659])).
% 58.13/9.57 tff(f47659,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1027(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38284])).
% 58.13/9.57 tff(f83741,plain,(
% 58.13/9.57 spl5880_1078),
% 58.13/9.57 inference(avatar_split_clause,[],[f67222,f83738])).
% 58.13/9.57 tff(f83738,plain,(
% 58.13/9.57 spl5880_1078 <=> ($true = bG1028($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1078])])).
% 58.13/9.57 tff(f67222,plain,(
% 58.13/9.57 ($true = bG1028($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47657])).
% 58.13/9.57 tff(f47657,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1028(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38283])).
% 58.13/9.57 tff(f83736,plain,(
% 58.13/9.57 spl5880_1077),
% 58.13/9.57 inference(avatar_split_clause,[],[f67221,f83733])).
% 58.13/9.57 tff(f83733,plain,(
% 58.13/9.57 spl5880_1077 <=> ($true = bG1029($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1077])])).
% 58.13/9.57 tff(f67221,plain,(
% 58.13/9.57 ($true = bG1029($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47655])).
% 58.13/9.57 tff(f47655,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1029(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38282])).
% 58.13/9.57 tff(f83731,plain,(
% 58.13/9.57 spl5880_1076),
% 58.13/9.57 inference(avatar_split_clause,[],[f67220,f83728])).
% 58.13/9.57 tff(f83728,plain,(
% 58.13/9.57 spl5880_1076 <=> ($true = bG1030($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1076])])).
% 58.13/9.57 tff(f67220,plain,(
% 58.13/9.57 ($true = bG1030($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47653])).
% 58.13/9.57 tff(f47653,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1030(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38281])).
% 58.13/9.57 tff(f83726,plain,(
% 58.13/9.57 spl5880_1075),
% 58.13/9.57 inference(avatar_split_clause,[],[f67219,f83723])).
% 58.13/9.57 tff(f83723,plain,(
% 58.13/9.57 spl5880_1075 <=> ($true = bG1031($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1075])])).
% 58.13/9.57 tff(f67219,plain,(
% 58.13/9.57 ($true = bG1031($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47651])).
% 58.13/9.57 tff(f47651,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1031(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38280])).
% 58.13/9.57 tff(f83721,plain,(
% 58.13/9.57 spl5880_1074),
% 58.13/9.57 inference(avatar_split_clause,[],[f67216,f83718])).
% 58.13/9.57 tff(f83718,plain,(
% 58.13/9.57 spl5880_1074 <=> ($true = bG1034($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1074])])).
% 58.13/9.57 tff(f67216,plain,(
% 58.13/9.57 ($true = bG1034($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47645])).
% 58.13/9.57 tff(f47645,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1034(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38279])).
% 58.13/9.57 tff(f83716,plain,(
% 58.13/9.57 spl5880_1073),
% 58.13/9.57 inference(avatar_split_clause,[],[f67215,f83713])).
% 58.13/9.57 tff(f83713,plain,(
% 58.13/9.57 spl5880_1073 <=> ($true = bG1035($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1073])])).
% 58.13/9.57 tff(f67215,plain,(
% 58.13/9.57 ($true = bG1035($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47643])).
% 58.13/9.57 tff(f47643,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1035(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38278])).
% 58.13/9.57 tff(f83711,plain,(
% 58.13/9.57 spl5880_1072),
% 58.13/9.57 inference(avatar_split_clause,[],[f67214,f83708])).
% 58.13/9.57 tff(f83708,plain,(
% 58.13/9.57 spl5880_1072 <=> ($true = bG1036($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1072])])).
% 58.13/9.57 tff(f67214,plain,(
% 58.13/9.57 ($true = bG1036($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47641])).
% 58.13/9.57 tff(f47641,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1036(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38277])).
% 58.13/9.57 tff(f83706,plain,(
% 58.13/9.57 spl5880_1071),
% 58.13/9.57 inference(avatar_split_clause,[],[f67213,f83703])).
% 58.13/9.57 tff(f83703,plain,(
% 58.13/9.57 spl5880_1071 <=> ($true = bG1037($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1071])])).
% 58.13/9.57 tff(f67213,plain,(
% 58.13/9.57 ($true = bG1037($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47639])).
% 58.13/9.57 tff(f47639,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1037(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38276])).
% 58.13/9.57 tff(f83701,plain,(
% 58.13/9.57 spl5880_1070),
% 58.13/9.57 inference(avatar_split_clause,[],[f67210,f83698])).
% 58.13/9.57 tff(f83698,plain,(
% 58.13/9.57 spl5880_1070 <=> ($true = bG1040($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1070])])).
% 58.13/9.57 tff(f67210,plain,(
% 58.13/9.57 ($true = bG1040($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47633])).
% 58.13/9.57 tff(f47633,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1040(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38275])).
% 58.13/9.57 tff(f83696,plain,(
% 58.13/9.57 spl5880_1069),
% 58.13/9.57 inference(avatar_split_clause,[],[f67209,f83693])).
% 58.13/9.57 tff(f83693,plain,(
% 58.13/9.57 spl5880_1069 <=> ($true = bG1041($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1069])])).
% 58.13/9.57 tff(f67209,plain,(
% 58.13/9.57 ($true = bG1041($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47631])).
% 58.13/9.57 tff(f47631,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1041(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38274])).
% 58.13/9.57 tff(f83691,plain,(
% 58.13/9.57 spl5880_1068),
% 58.13/9.57 inference(avatar_split_clause,[],[f67208,f83688])).
% 58.13/9.57 tff(f83688,plain,(
% 58.13/9.57 spl5880_1068 <=> ($true = bG1042($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1068])])).
% 58.13/9.57 tff(f67208,plain,(
% 58.13/9.57 ($true = bG1042($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47629])).
% 58.13/9.57 tff(f47629,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1042(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38273])).
% 58.13/9.57 tff(f83686,plain,(
% 58.13/9.57 spl5880_1067),
% 58.13/9.57 inference(avatar_split_clause,[],[f67207,f83683])).
% 58.13/9.57 tff(f83683,plain,(
% 58.13/9.57 spl5880_1067 <=> ($true = bG1043($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1067])])).
% 58.13/9.57 tff(f67207,plain,(
% 58.13/9.57 ($true = bG1043($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47627])).
% 58.13/9.57 tff(f47627,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1043(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38272])).
% 58.13/9.57 tff(f83681,plain,(
% 58.13/9.57 spl5880_1066),
% 58.13/9.57 inference(avatar_split_clause,[],[f67206,f83678])).
% 58.13/9.57 tff(f83678,plain,(
% 58.13/9.57 spl5880_1066 <=> ($true = bG1044($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1066])])).
% 58.13/9.57 tff(f67206,plain,(
% 58.13/9.57 ($true = bG1044($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47625])).
% 58.13/9.57 tff(f47625,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1044(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38271])).
% 58.13/9.57 tff(f83676,plain,(
% 58.13/9.57 spl5880_1065),
% 58.13/9.57 inference(avatar_split_clause,[],[f67205,f83673])).
% 58.13/9.57 tff(f83673,plain,(
% 58.13/9.57 spl5880_1065 <=> ($true = bG1045($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1065])])).
% 58.13/9.57 tff(f67205,plain,(
% 58.13/9.57 ($true = bG1045($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47623])).
% 58.13/9.57 tff(f47623,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1045(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38270])).
% 58.13/9.57 tff(f83671,plain,(
% 58.13/9.57 spl5880_1064),
% 58.13/9.57 inference(avatar_split_clause,[],[f67204,f83668])).
% 58.13/9.57 tff(f83668,plain,(
% 58.13/9.57 spl5880_1064 <=> ($true = bG1047($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1064])])).
% 58.13/9.57 tff(f67204,plain,(
% 58.13/9.57 ($true = bG1047($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47619])).
% 58.13/9.57 tff(f47619,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1047(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38269])).
% 58.13/9.57 tff(f83666,plain,(
% 58.13/9.57 spl5880_1063),
% 58.13/9.57 inference(avatar_split_clause,[],[f67203,f83663])).
% 58.13/9.57 tff(f83663,plain,(
% 58.13/9.57 spl5880_1063 <=> ($true = bG1048($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1063])])).
% 58.13/9.57 tff(f67203,plain,(
% 58.13/9.57 ($true = bG1048($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47617])).
% 58.13/9.57 tff(f47617,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1048(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38268])).
% 58.13/9.57 tff(f83661,plain,(
% 58.13/9.57 spl5880_1062),
% 58.13/9.57 inference(avatar_split_clause,[],[f67200,f83658])).
% 58.13/9.57 tff(f83658,plain,(
% 58.13/9.57 spl5880_1062 <=> ($true = bG1056($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1062])])).
% 58.13/9.57 tff(f67200,plain,(
% 58.13/9.57 ($true = bG1056($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47601])).
% 58.13/9.57 tff(f47601,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1056(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38267])).
% 58.13/9.57 tff(f83656,plain,(
% 58.13/9.57 spl5880_1061),
% 58.13/9.57 inference(avatar_split_clause,[],[f67199,f83653])).
% 58.13/9.57 tff(f83653,plain,(
% 58.13/9.57 spl5880_1061 <=> ($true = bG1057($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1061])])).
% 58.13/9.57 tff(f67199,plain,(
% 58.13/9.57 ($true = bG1057($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47599])).
% 58.13/9.57 tff(f47599,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1057(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38266])).
% 58.13/9.57 tff(f83651,plain,(
% 58.13/9.57 spl5880_1060),
% 58.13/9.57 inference(avatar_split_clause,[],[f67198,f83648])).
% 58.13/9.57 tff(f83648,plain,(
% 58.13/9.57 spl5880_1060 <=> ($true = bG1058($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1060])])).
% 58.13/9.57 tff(f67198,plain,(
% 58.13/9.57 ($true = bG1058($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47597])).
% 58.13/9.57 tff(f47597,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1058(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38265])).
% 58.13/9.57 tff(f83646,plain,(
% 58.13/9.57 spl5880_1059),
% 58.13/9.57 inference(avatar_split_clause,[],[f67197,f83643])).
% 58.13/9.57 tff(f83643,plain,(
% 58.13/9.57 spl5880_1059 <=> ($true = bG1059($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1059])])).
% 58.13/9.57 tff(f67197,plain,(
% 58.13/9.57 ($true = bG1059($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47595])).
% 58.13/9.57 tff(f47595,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1059(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38264])).
% 58.13/9.57 tff(f83641,plain,(
% 58.13/9.57 spl5880_1058),
% 58.13/9.57 inference(avatar_split_clause,[],[f67194,f83638])).
% 58.13/9.57 tff(f83638,plain,(
% 58.13/9.57 spl5880_1058 <=> ($true = bG1067($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1058])])).
% 58.13/9.57 tff(f67194,plain,(
% 58.13/9.57 ($true = bG1067($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47579])).
% 58.13/9.57 tff(f47579,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1067(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38263])).
% 58.13/9.57 tff(f83636,plain,(
% 58.13/9.57 spl5880_1057),
% 58.13/9.57 inference(avatar_split_clause,[],[f67193,f83633])).
% 58.13/9.57 tff(f83633,plain,(
% 58.13/9.57 spl5880_1057 <=> ($true = bG1068($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1057])])).
% 58.13/9.57 tff(f67193,plain,(
% 58.13/9.57 ($true = bG1068($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47577])).
% 58.13/9.57 tff(f47577,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1068(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38262])).
% 58.13/9.57 tff(f83631,plain,(
% 58.13/9.57 spl5880_1056),
% 58.13/9.57 inference(avatar_split_clause,[],[f67189,f83628])).
% 58.13/9.57 tff(f83628,plain,(
% 58.13/9.57 spl5880_1056 <=> ($true = bG1076($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1056])])).
% 58.13/9.57 tff(f67189,plain,(
% 58.13/9.57 ($true = bG1076($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47562])).
% 58.13/9.57 tff(f47562,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1076(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38261])).
% 58.13/9.57 tff(f83626,plain,(
% 58.13/9.57 spl5880_1055),
% 58.13/9.57 inference(avatar_split_clause,[],[f67188,f83623])).
% 58.13/9.57 tff(f83623,plain,(
% 58.13/9.57 spl5880_1055 <=> ($true = bG1077($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1055])])).
% 58.13/9.57 tff(f67188,plain,(
% 58.13/9.57 ($true = bG1077($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47560])).
% 58.13/9.57 tff(f47560,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1077(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38260])).
% 58.13/9.57 tff(f83621,plain,(
% 58.13/9.57 spl5880_1054),
% 58.13/9.57 inference(avatar_split_clause,[],[f67186,f83618])).
% 58.13/9.57 tff(f83618,plain,(
% 58.13/9.57 spl5880_1054 <=> ($true = bG1079($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1054])])).
% 58.13/9.57 tff(f67186,plain,(
% 58.13/9.57 ($true = bG1079($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47556])).
% 58.13/9.57 tff(f47556,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1079(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38259])).
% 58.13/9.57 tff(f83616,plain,(
% 58.13/9.57 spl5880_1053),
% 58.13/9.57 inference(avatar_split_clause,[],[f67185,f83613])).
% 58.13/9.57 tff(f83613,plain,(
% 58.13/9.57 spl5880_1053 <=> ($true = bG1080($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1053])])).
% 58.13/9.57 tff(f67185,plain,(
% 58.13/9.57 ($true = bG1080($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47554])).
% 58.13/9.57 tff(f47554,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1080(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38258])).
% 58.13/9.57 tff(f83611,plain,(
% 58.13/9.57 spl5880_1052),
% 58.13/9.57 inference(avatar_split_clause,[],[f67182,f83608])).
% 58.13/9.57 tff(f83608,plain,(
% 58.13/9.57 spl5880_1052 <=> ($true = bG1087($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1052])])).
% 58.13/9.57 tff(f67182,plain,(
% 58.13/9.57 ($true = bG1087($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47541])).
% 58.13/9.57 tff(f47541,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1087(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38257])).
% 58.13/9.57 tff(f83606,plain,(
% 58.13/9.57 spl5880_1051),
% 58.13/9.57 inference(avatar_split_clause,[],[f67181,f83603])).
% 58.13/9.57 tff(f83603,plain,(
% 58.13/9.57 spl5880_1051 <=> ($true = bG1088($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1051])])).
% 58.13/9.57 tff(f67181,plain,(
% 58.13/9.57 ($true = bG1088($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47539])).
% 58.13/9.57 tff(f47539,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1088(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38256])).
% 58.13/9.57 tff(f83601,plain,(
% 58.13/9.57 spl5880_1050),
% 58.13/9.57 inference(avatar_split_clause,[],[f67178,f83598])).
% 58.13/9.57 tff(f83598,plain,(
% 58.13/9.57 spl5880_1050 <=> ($true = bG1094($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1050])])).
% 58.13/9.57 tff(f67178,plain,(
% 58.13/9.57 ($true = bG1094($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47527])).
% 58.13/9.57 tff(f47527,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1094(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38255])).
% 58.13/9.57 tff(f83596,plain,(
% 58.13/9.57 spl5880_1049),
% 58.13/9.57 inference(avatar_split_clause,[],[f67177,f83593])).
% 58.13/9.57 tff(f83593,plain,(
% 58.13/9.57 spl5880_1049 <=> ($true = bG1095($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1049])])).
% 58.13/9.57 tff(f67177,plain,(
% 58.13/9.57 ($true = bG1095($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47525])).
% 58.13/9.57 tff(f47525,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1095(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38254])).
% 58.13/9.57 tff(f83591,plain,(
% 58.13/9.57 spl5880_1048),
% 58.13/9.57 inference(avatar_split_clause,[],[f67176,f83588])).
% 58.13/9.57 tff(f83588,plain,(
% 58.13/9.57 spl5880_1048 <=> ($true = bG1096($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1048])])).
% 58.13/9.57 tff(f67176,plain,(
% 58.13/9.57 ($true = bG1096($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47523])).
% 58.13/9.57 tff(f47523,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1096(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38253])).
% 58.13/9.57 tff(f83586,plain,(
% 58.13/9.57 spl5880_1047),
% 58.13/9.57 inference(avatar_split_clause,[],[f67175,f83583])).
% 58.13/9.57 tff(f83583,plain,(
% 58.13/9.57 spl5880_1047 <=> ($true = bG1097($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1047])])).
% 58.13/9.57 tff(f67175,plain,(
% 58.13/9.57 ($true = bG1097($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47521])).
% 58.13/9.57 tff(f47521,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1097(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38252])).
% 58.13/9.57 tff(f83581,plain,(
% 58.13/9.57 spl5880_1046),
% 58.13/9.57 inference(avatar_split_clause,[],[f67174,f83578])).
% 58.13/9.57 tff(f83578,plain,(
% 58.13/9.57 spl5880_1046 <=> ($true = bG1104($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1046])])).
% 58.13/9.57 tff(f67174,plain,(
% 58.13/9.57 ($true = bG1104($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47509])).
% 58.13/9.57 tff(f47509,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1104(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38251])).
% 58.13/9.57 tff(f83576,plain,(
% 58.13/9.57 spl5880_1045),
% 58.13/9.57 inference(avatar_split_clause,[],[f67173,f83573])).
% 58.13/9.57 tff(f83573,plain,(
% 58.13/9.57 spl5880_1045 <=> ($true = bG1105($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1045])])).
% 58.13/9.57 tff(f67173,plain,(
% 58.13/9.57 ($true = bG1105($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47507])).
% 58.13/9.57 tff(f47507,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1105(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38250])).
% 58.13/9.57 tff(f83571,plain,(
% 58.13/9.57 spl5880_1044),
% 58.13/9.57 inference(avatar_split_clause,[],[f67172,f83568])).
% 58.13/9.57 tff(f83568,plain,(
% 58.13/9.57 spl5880_1044 <=> ($true = bG1106($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1044])])).
% 58.13/9.57 tff(f67172,plain,(
% 58.13/9.57 ($true = bG1106($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47505])).
% 58.13/9.57 tff(f47505,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1106(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38249])).
% 58.13/9.57 tff(f83566,plain,(
% 58.13/9.57 spl5880_1043),
% 58.13/9.57 inference(avatar_split_clause,[],[f67171,f83563])).
% 58.13/9.57 tff(f83563,plain,(
% 58.13/9.57 spl5880_1043 <=> ($true = bG1107($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1043])])).
% 58.13/9.57 tff(f67171,plain,(
% 58.13/9.57 ($true = bG1107($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47503])).
% 58.13/9.57 tff(f47503,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1107(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38248])).
% 58.13/9.57 tff(f83561,plain,(
% 58.13/9.57 spl5880_1042),
% 58.13/9.57 inference(avatar_split_clause,[],[f67170,f83558])).
% 58.13/9.57 tff(f83558,plain,(
% 58.13/9.57 spl5880_1042 <=> ($true = bG1116($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1042])])).
% 58.13/9.57 tff(f67170,plain,(
% 58.13/9.57 ($true = bG1116($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47488])).
% 58.13/9.57 tff(f47488,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1116(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38247])).
% 58.13/9.57 tff(f83556,plain,(
% 58.13/9.57 spl5880_1041),
% 58.13/9.57 inference(avatar_split_clause,[],[f67169,f83553])).
% 58.13/9.57 tff(f83553,plain,(
% 58.13/9.57 spl5880_1041 <=> ($true = bG1117($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1041])])).
% 58.13/9.57 tff(f67169,plain,(
% 58.13/9.57 ($true = bG1117($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47486])).
% 58.13/9.57 tff(f47486,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1117(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38246])).
% 58.13/9.57 tff(f83551,plain,(
% 58.13/9.57 spl5880_1040),
% 58.13/9.57 inference(avatar_split_clause,[],[f67168,f83548])).
% 58.13/9.57 tff(f83548,plain,(
% 58.13/9.57 spl5880_1040 <=> ($true = bG1118($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1040])])).
% 58.13/9.57 tff(f67168,plain,(
% 58.13/9.57 ($true = bG1118($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47484])).
% 58.13/9.57 tff(f47484,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1118(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38245])).
% 58.13/9.57 tff(f83546,plain,(
% 58.13/9.57 spl5880_1039),
% 58.13/9.57 inference(avatar_split_clause,[],[f67167,f83543])).
% 58.13/9.57 tff(f83543,plain,(
% 58.13/9.57 spl5880_1039 <=> ($true = bG1119($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1039])])).
% 58.13/9.57 tff(f67167,plain,(
% 58.13/9.57 ($true = bG1119($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47482])).
% 58.13/9.57 tff(f47482,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1119(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38244])).
% 58.13/9.57 tff(f83541,plain,(
% 58.13/9.57 spl5880_1038),
% 58.13/9.57 inference(avatar_split_clause,[],[f67164,f83538])).
% 58.13/9.57 tff(f83538,plain,(
% 58.13/9.57 spl5880_1038 <=> ($true = bG1125($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1038])])).
% 58.13/9.57 tff(f67164,plain,(
% 58.13/9.57 ($true = bG1125($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47470])).
% 58.13/9.57 tff(f47470,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1125(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38243])).
% 58.13/9.57 tff(f83536,plain,(
% 58.13/9.57 spl5880_1037),
% 58.13/9.57 inference(avatar_split_clause,[],[f67163,f83533])).
% 58.13/9.57 tff(f83533,plain,(
% 58.13/9.57 spl5880_1037 <=> ($true = bG1126($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1037])])).
% 58.13/9.57 tff(f67163,plain,(
% 58.13/9.57 ($true = bG1126($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47468])).
% 58.13/9.57 tff(f47468,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1126(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38242])).
% 58.13/9.57 tff(f83531,plain,(
% 58.13/9.57 spl5880_1036),
% 58.13/9.57 inference(avatar_split_clause,[],[f67162,f83528])).
% 58.13/9.57 tff(f83528,plain,(
% 58.13/9.57 spl5880_1036 <=> ($true = bG1127($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1036])])).
% 58.13/9.57 tff(f67162,plain,(
% 58.13/9.57 ($true = bG1127($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47466])).
% 58.13/9.57 tff(f47466,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1127(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38241])).
% 58.13/9.57 tff(f83526,plain,(
% 58.13/9.57 spl5880_1035),
% 58.13/9.57 inference(avatar_split_clause,[],[f67161,f83523])).
% 58.13/9.57 tff(f83523,plain,(
% 58.13/9.57 spl5880_1035 <=> ($true = bG1128($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1035])])).
% 58.13/9.57 tff(f67161,plain,(
% 58.13/9.57 ($true = bG1128($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47464])).
% 58.13/9.57 tff(f47464,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1128(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38240])).
% 58.13/9.57 tff(f83521,plain,(
% 58.13/9.57 spl5880_1034),
% 58.13/9.57 inference(avatar_split_clause,[],[f67160,f83518])).
% 58.13/9.57 tff(f83518,plain,(
% 58.13/9.57 spl5880_1034 <=> ($true = bG1129($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1034])])).
% 58.13/9.57 tff(f67160,plain,(
% 58.13/9.57 ($true = bG1129($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47462])).
% 58.13/9.57 tff(f47462,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1129(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38239])).
% 58.13/9.57 tff(f83516,plain,(
% 58.13/9.57 spl5880_1033),
% 58.13/9.57 inference(avatar_split_clause,[],[f67159,f83513])).
% 58.13/9.57 tff(f83513,plain,(
% 58.13/9.57 spl5880_1033 <=> ($true = bG1130($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1033])])).
% 58.13/9.57 tff(f67159,plain,(
% 58.13/9.57 ($true = bG1130($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47460])).
% 58.13/9.57 tff(f47460,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1130(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38238])).
% 58.13/9.57 tff(f83511,plain,(
% 58.13/9.57 spl5880_1032),
% 58.13/9.57 inference(avatar_split_clause,[],[f67158,f83508])).
% 58.13/9.57 tff(f83508,plain,(
% 58.13/9.57 spl5880_1032 <=> ($true = bG1131($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1032])])).
% 58.13/9.57 tff(f67158,plain,(
% 58.13/9.57 ($true = bG1131($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47458])).
% 58.13/9.57 tff(f47458,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1131(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38237])).
% 58.13/9.57 tff(f83506,plain,(
% 58.13/9.57 spl5880_1031),
% 58.13/9.57 inference(avatar_split_clause,[],[f67157,f83503])).
% 58.13/9.57 tff(f83503,plain,(
% 58.13/9.57 spl5880_1031 <=> ($true = bG1132($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1031])])).
% 58.13/9.57 tff(f67157,plain,(
% 58.13/9.57 ($true = bG1132($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47456])).
% 58.13/9.57 tff(f47456,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1132(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38236])).
% 58.13/9.57 tff(f83501,plain,(
% 58.13/9.57 spl5880_1030),
% 58.13/9.57 inference(avatar_split_clause,[],[f67156,f83498])).
% 58.13/9.57 tff(f83498,plain,(
% 58.13/9.57 spl5880_1030 <=> ($true = bG1139($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1030])])).
% 58.13/9.57 tff(f67156,plain,(
% 58.13/9.57 ($true = bG1139($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47444])).
% 58.13/9.57 tff(f47444,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1139(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38235])).
% 58.13/9.57 tff(f83496,plain,(
% 58.13/9.57 spl5880_1029),
% 58.13/9.57 inference(avatar_split_clause,[],[f67155,f83493])).
% 58.13/9.57 tff(f83493,plain,(
% 58.13/9.57 spl5880_1029 <=> ($true = bG1140($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1029])])).
% 58.13/9.57 tff(f67155,plain,(
% 58.13/9.57 ($true = bG1140($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47442])).
% 58.13/9.57 tff(f47442,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1140(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38234])).
% 58.13/9.57 tff(f83491,plain,(
% 58.13/9.57 spl5880_1028),
% 58.13/9.57 inference(avatar_split_clause,[],[f67154,f83488])).
% 58.13/9.57 tff(f83488,plain,(
% 58.13/9.57 spl5880_1028 <=> ($true = bG1141($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1028])])).
% 58.13/9.57 tff(f67154,plain,(
% 58.13/9.57 ($true = bG1141($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47440])).
% 58.13/9.57 tff(f47440,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1141(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38233])).
% 58.13/9.57 tff(f83486,plain,(
% 58.13/9.57 spl5880_1027),
% 58.13/9.57 inference(avatar_split_clause,[],[f67153,f83483])).
% 58.13/9.57 tff(f83483,plain,(
% 58.13/9.57 spl5880_1027 <=> ($true = bG1142($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1027])])).
% 58.13/9.57 tff(f67153,plain,(
% 58.13/9.57 ($true = bG1142($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47438])).
% 58.13/9.57 tff(f47438,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1142(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38232])).
% 58.13/9.57 tff(f83481,plain,(
% 58.13/9.57 spl5880_1026),
% 58.13/9.57 inference(avatar_split_clause,[],[f67152,f83478])).
% 58.13/9.57 tff(f83478,plain,(
% 58.13/9.57 spl5880_1026 <=> ($true = bG1143($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1026])])).
% 58.13/9.57 tff(f67152,plain,(
% 58.13/9.57 ($true = bG1143($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47436])).
% 58.13/9.57 tff(f47436,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1143(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38231])).
% 58.13/9.57 tff(f83476,plain,(
% 58.13/9.57 spl5880_1025),
% 58.13/9.57 inference(avatar_split_clause,[],[f67151,f83473])).
% 58.13/9.57 tff(f83473,plain,(
% 58.13/9.57 spl5880_1025 <=> ($true = bG1144($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1025])])).
% 58.13/9.57 tff(f67151,plain,(
% 58.13/9.57 ($true = bG1144($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47434])).
% 58.13/9.57 tff(f47434,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1144(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38230])).
% 58.13/9.57 tff(f83471,plain,(
% 58.13/9.57 spl5880_1024),
% 58.13/9.57 inference(avatar_split_clause,[],[f67150,f83468])).
% 58.13/9.57 tff(f83468,plain,(
% 58.13/9.57 spl5880_1024 <=> ($true = bG1145($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1024])])).
% 58.13/9.57 tff(f67150,plain,(
% 58.13/9.57 ($true = bG1145($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47432])).
% 58.13/9.57 tff(f47432,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1145(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38229])).
% 58.13/9.57 tff(f83466,plain,(
% 58.13/9.57 spl5880_1023),
% 58.13/9.57 inference(avatar_split_clause,[],[f67149,f83463])).
% 58.13/9.57 tff(f83463,plain,(
% 58.13/9.57 spl5880_1023 <=> ($true = bG1146($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1023])])).
% 58.13/9.57 tff(f67149,plain,(
% 58.13/9.57 ($true = bG1146($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47430])).
% 58.13/9.57 tff(f47430,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1146(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38228])).
% 58.13/9.57 tff(f83461,plain,(
% 58.13/9.57 spl5880_1022),
% 58.13/9.57 inference(avatar_split_clause,[],[f67148,f83458])).
% 58.13/9.57 tff(f83458,plain,(
% 58.13/9.57 spl5880_1022 <=> ($true = bG1155($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1022])])).
% 58.13/9.57 tff(f67148,plain,(
% 58.13/9.57 ($true = bG1155($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47415])).
% 58.13/9.57 tff(f47415,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1155(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38227])).
% 58.13/9.57 tff(f83456,plain,(
% 58.13/9.57 spl5880_1021),
% 58.13/9.57 inference(avatar_split_clause,[],[f67147,f83453])).
% 58.13/9.57 tff(f83453,plain,(
% 58.13/9.57 spl5880_1021 <=> ($true = bG1156($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1021])])).
% 58.13/9.57 tff(f67147,plain,(
% 58.13/9.57 ($true = bG1156($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47413])).
% 58.13/9.57 tff(f47413,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1156(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38226])).
% 58.13/9.57 tff(f83451,plain,(
% 58.13/9.57 spl5880_1020),
% 58.13/9.57 inference(avatar_split_clause,[],[f67143,f83448])).
% 58.13/9.57 tff(f83448,plain,(
% 58.13/9.57 spl5880_1020 <=> ($true = bG1163($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1020])])).
% 58.13/9.57 tff(f67143,plain,(
% 58.13/9.57 ($true = bG1163($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47399])).
% 58.13/9.57 tff(f47399,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1163(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38225])).
% 58.13/9.57 tff(f83446,plain,(
% 58.13/9.57 spl5880_1019),
% 58.13/9.57 inference(avatar_split_clause,[],[f67142,f83443])).
% 58.13/9.57 tff(f83443,plain,(
% 58.13/9.57 spl5880_1019 <=> ($true = bG1164($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1019])])).
% 58.13/9.57 tff(f67142,plain,(
% 58.13/9.57 ($true = bG1164($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47397])).
% 58.13/9.57 tff(f47397,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1164(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38224])).
% 58.13/9.57 tff(f83441,plain,(
% 58.13/9.57 spl5880_1018),
% 58.13/9.57 inference(avatar_split_clause,[],[f67141,f83438])).
% 58.13/9.57 tff(f83438,plain,(
% 58.13/9.57 spl5880_1018 <=> ($true = bG1165($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1018])])).
% 58.13/9.57 tff(f67141,plain,(
% 58.13/9.57 ($true = bG1165($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47395])).
% 58.13/9.57 tff(f47395,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1165(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38223])).
% 58.13/9.57 tff(f83436,plain,(
% 58.13/9.57 spl5880_1017),
% 58.13/9.57 inference(avatar_split_clause,[],[f67140,f83433])).
% 58.13/9.57 tff(f83433,plain,(
% 58.13/9.57 spl5880_1017 <=> ($true = bG1166($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1017])])).
% 58.13/9.57 tff(f67140,plain,(
% 58.13/9.57 ($true = bG1166($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47393])).
% 58.13/9.57 tff(f47393,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1166(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38222])).
% 58.13/9.57 tff(f83431,plain,(
% 58.13/9.57 spl5880_1016),
% 58.13/9.57 inference(avatar_split_clause,[],[f67139,f83428])).
% 58.13/9.57 tff(f83428,plain,(
% 58.13/9.57 spl5880_1016 <=> ($true = bG1167($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1016])])).
% 58.13/9.57 tff(f67139,plain,(
% 58.13/9.57 ($true = bG1167($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47391])).
% 58.13/9.57 tff(f47391,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1167(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38221])).
% 58.13/9.57 tff(f83426,plain,(
% 58.13/9.57 spl5880_1015),
% 58.13/9.57 inference(avatar_split_clause,[],[f67138,f83423])).
% 58.13/9.57 tff(f83423,plain,(
% 58.13/9.57 spl5880_1015 <=> ($true = bG1168($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1015])])).
% 58.13/9.57 tff(f67138,plain,(
% 58.13/9.57 ($true = bG1168($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47389])).
% 58.13/9.57 tff(f47389,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1168(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38220])).
% 58.13/9.57 tff(f83421,plain,(
% 58.13/9.57 spl5880_1014),
% 58.13/9.57 inference(avatar_split_clause,[],[f67137,f83418])).
% 58.13/9.57 tff(f83418,plain,(
% 58.13/9.57 spl5880_1014 <=> ($true = bG1175($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1014])])).
% 58.13/9.57 tff(f67137,plain,(
% 58.13/9.57 ($true = bG1175($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47377])).
% 58.13/9.57 tff(f47377,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1175(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38219])).
% 58.13/9.57 tff(f83416,plain,(
% 58.13/9.57 spl5880_1013),
% 58.13/9.57 inference(avatar_split_clause,[],[f67136,f83413])).
% 58.13/9.57 tff(f83413,plain,(
% 58.13/9.57 spl5880_1013 <=> ($true = bG1176($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1013])])).
% 58.13/9.57 tff(f67136,plain,(
% 58.13/9.57 ($true = bG1176($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47375])).
% 58.13/9.57 tff(f47375,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1176(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38218])).
% 58.13/9.57 tff(f83411,plain,(
% 58.13/9.57 spl5880_1012),
% 58.13/9.57 inference(avatar_split_clause,[],[f67135,f83408])).
% 58.13/9.57 tff(f83408,plain,(
% 58.13/9.57 spl5880_1012 <=> ($true = bG1177($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1012])])).
% 58.13/9.57 tff(f67135,plain,(
% 58.13/9.57 ($true = bG1177($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47373])).
% 58.13/9.57 tff(f47373,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1177(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38217])).
% 58.13/9.57 tff(f83406,plain,(
% 58.13/9.57 spl5880_1011),
% 58.13/9.57 inference(avatar_split_clause,[],[f67134,f83403])).
% 58.13/9.57 tff(f83403,plain,(
% 58.13/9.57 spl5880_1011 <=> ($true = bG1178($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1011])])).
% 58.13/9.57 tff(f67134,plain,(
% 58.13/9.57 ($true = bG1178($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47371])).
% 58.13/9.57 tff(f47371,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1178(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38216])).
% 58.13/9.57 tff(f83401,plain,(
% 58.13/9.57 spl5880_1010),
% 58.13/9.57 inference(avatar_split_clause,[],[f67133,f83398])).
% 58.13/9.57 tff(f83398,plain,(
% 58.13/9.57 spl5880_1010 <=> ($true = bG1179($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1010])])).
% 58.13/9.57 tff(f67133,plain,(
% 58.13/9.57 ($true = bG1179($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47369])).
% 58.13/9.57 tff(f47369,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1179(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38215])).
% 58.13/9.57 tff(f83396,plain,(
% 58.13/9.57 spl5880_1009),
% 58.13/9.57 inference(avatar_split_clause,[],[f67132,f83393])).
% 58.13/9.57 tff(f83393,plain,(
% 58.13/9.57 spl5880_1009 <=> ($true = bG1180($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1009])])).
% 58.13/9.57 tff(f67132,plain,(
% 58.13/9.57 ($true = bG1180($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47367])).
% 58.13/9.57 tff(f47367,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1180(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38214])).
% 58.13/9.57 tff(f83391,plain,(
% 58.13/9.57 spl5880_1008),
% 58.13/9.57 inference(avatar_split_clause,[],[f67130,f83388])).
% 58.13/9.57 tff(f83388,plain,(
% 58.13/9.57 spl5880_1008 <=> ($true = bG1190($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1008])])).
% 58.13/9.57 tff(f67130,plain,(
% 58.13/9.57 ($true = bG1190($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47350])).
% 58.13/9.57 tff(f47350,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1190(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38213])).
% 58.13/9.57 tff(f83386,plain,(
% 58.13/9.57 spl5880_1007),
% 58.13/9.57 inference(avatar_split_clause,[],[f67129,f83383])).
% 58.13/9.57 tff(f83383,plain,(
% 58.13/9.57 spl5880_1007 <=> ($true = bG1191($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1007])])).
% 58.13/9.57 tff(f67129,plain,(
% 58.13/9.57 ($true = bG1191($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47348])).
% 58.13/9.57 tff(f47348,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1191(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38212])).
% 58.13/9.57 tff(f83381,plain,(
% 58.13/9.57 spl5880_1006),
% 58.13/9.57 inference(avatar_split_clause,[],[f67127,f83378])).
% 58.13/9.57 tff(f83378,plain,(
% 58.13/9.57 spl5880_1006 <=> ($true = bG1193($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1006])])).
% 58.13/9.57 tff(f67127,plain,(
% 58.13/9.57 ($true = bG1193($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47344])).
% 58.13/9.57 tff(f47344,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1193(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38211])).
% 58.13/9.57 tff(f83376,plain,(
% 58.13/9.57 spl5880_1005),
% 58.13/9.57 inference(avatar_split_clause,[],[f67126,f83373])).
% 58.13/9.57 tff(f83373,plain,(
% 58.13/9.57 spl5880_1005 <=> ($true = bG1194($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1005])])).
% 58.13/9.57 tff(f67126,plain,(
% 58.13/9.57 ($true = bG1194($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47342])).
% 58.13/9.57 tff(f47342,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1194(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38210])).
% 58.13/9.57 tff(f83371,plain,(
% 58.13/9.57 spl5880_1004),
% 58.13/9.57 inference(avatar_split_clause,[],[f67123,f83368])).
% 58.13/9.57 tff(f83368,plain,(
% 58.13/9.57 spl5880_1004 <=> ($true = bG1200($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1004])])).
% 58.13/9.57 tff(f67123,plain,(
% 58.13/9.57 ($true = bG1200($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47330])).
% 58.13/9.57 tff(f47330,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1200(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38209])).
% 58.13/9.57 tff(f83366,plain,(
% 58.13/9.57 spl5880_1003),
% 58.13/9.57 inference(avatar_split_clause,[],[f67122,f83363])).
% 58.13/9.57 tff(f83363,plain,(
% 58.13/9.57 spl5880_1003 <=> ($true = bG1201($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1003])])).
% 58.13/9.57 tff(f67122,plain,(
% 58.13/9.57 ($true = bG1201($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47328])).
% 58.13/9.57 tff(f47328,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1201(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38208])).
% 58.13/9.57 tff(f83361,plain,(
% 58.13/9.57 spl5880_1002),
% 58.13/9.57 inference(avatar_split_clause,[],[f67121,f83358])).
% 58.13/9.57 tff(f83358,plain,(
% 58.13/9.57 spl5880_1002 <=> ($true = bG1202($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1002])])).
% 58.13/9.57 tff(f67121,plain,(
% 58.13/9.57 ($true = bG1202($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47326])).
% 58.13/9.57 tff(f47326,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1202(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38207])).
% 58.13/9.57 tff(f83356,plain,(
% 58.13/9.57 spl5880_1001),
% 58.13/9.57 inference(avatar_split_clause,[],[f67120,f83353])).
% 58.13/9.57 tff(f83353,plain,(
% 58.13/9.57 spl5880_1001 <=> ($true = bG1203($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1001])])).
% 58.13/9.57 tff(f67120,plain,(
% 58.13/9.57 ($true = bG1203($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47324])).
% 58.13/9.57 tff(f47324,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1203(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38206])).
% 58.13/9.57 tff(f83351,plain,(
% 58.13/9.57 spl5880_1000),
% 58.13/9.57 inference(avatar_split_clause,[],[f67119,f83348])).
% 58.13/9.57 tff(f83348,plain,(
% 58.13/9.57 spl5880_1000 <=> ($true = bG1204($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_1000])])).
% 58.13/9.57 tff(f67119,plain,(
% 58.13/9.57 ($true = bG1204($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47322])).
% 58.13/9.57 tff(f47322,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1204(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38205])).
% 58.13/9.57 tff(f83346,plain,(
% 58.13/9.57 spl5880_999),
% 58.13/9.57 inference(avatar_split_clause,[],[f67118,f83343])).
% 58.13/9.57 tff(f83343,plain,(
% 58.13/9.57 spl5880_999 <=> ($true = bG1205($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_999])])).
% 58.13/9.57 tff(f67118,plain,(
% 58.13/9.57 ($true = bG1205($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47320])).
% 58.13/9.57 tff(f47320,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1205(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38204])).
% 58.13/9.57 tff(f83341,plain,(
% 58.13/9.57 spl5880_998),
% 58.13/9.57 inference(avatar_split_clause,[],[f67117,f83338])).
% 58.13/9.57 tff(f83338,plain,(
% 58.13/9.57 spl5880_998 <=> ($true = bG1206($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_998])])).
% 58.13/9.57 tff(f67117,plain,(
% 58.13/9.57 ($true = bG1206($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47318])).
% 58.13/9.57 tff(f47318,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1206(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38203])).
% 58.13/9.57 tff(f83336,plain,(
% 58.13/9.57 spl5880_997),
% 58.13/9.57 inference(avatar_split_clause,[],[f67116,f83333])).
% 58.13/9.57 tff(f83333,plain,(
% 58.13/9.57 spl5880_997 <=> ($true = bG1207($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_997])])).
% 58.13/9.57 tff(f67116,plain,(
% 58.13/9.57 ($true = bG1207($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47316])).
% 58.13/9.57 tff(f47316,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1207(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38202])).
% 58.13/9.57 tff(f83331,plain,(
% 58.13/9.57 spl5880_996),
% 58.13/9.57 inference(avatar_split_clause,[],[f67115,f83328])).
% 58.13/9.57 tff(f83328,plain,(
% 58.13/9.57 spl5880_996 <=> ($true = bG1208($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_996])])).
% 58.13/9.57 tff(f67115,plain,(
% 58.13/9.57 ($true = bG1208($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47314])).
% 58.13/9.57 tff(f47314,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1208(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38201])).
% 58.13/9.57 tff(f83326,plain,(
% 58.13/9.57 spl5880_995),
% 58.13/9.57 inference(avatar_split_clause,[],[f67114,f83323])).
% 58.13/9.57 tff(f83323,plain,(
% 58.13/9.57 spl5880_995 <=> ($true = bG1209($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_995])])).
% 58.13/9.57 tff(f67114,plain,(
% 58.13/9.57 ($true = bG1209($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47312])).
% 58.13/9.57 tff(f47312,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1209(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38200])).
% 58.13/9.57 tff(f83321,plain,(
% 58.13/9.57 spl5880_994),
% 58.13/9.57 inference(avatar_split_clause,[],[f67113,f83318])).
% 58.13/9.57 tff(f83318,plain,(
% 58.13/9.57 spl5880_994 <=> ($true = bG1210($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_994])])).
% 58.13/9.57 tff(f67113,plain,(
% 58.13/9.57 ($true = bG1210($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47310])).
% 58.13/9.57 tff(f47310,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1210(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38199])).
% 58.13/9.57 tff(f83316,plain,(
% 58.13/9.57 spl5880_993),
% 58.13/9.57 inference(avatar_split_clause,[],[f67112,f83313])).
% 58.13/9.57 tff(f83313,plain,(
% 58.13/9.57 spl5880_993 <=> ($true = bG1211($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_993])])).
% 58.13/9.57 tff(f67112,plain,(
% 58.13/9.57 ($true = bG1211($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47308])).
% 58.13/9.57 tff(f47308,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1211(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38198])).
% 58.13/9.57 tff(f83311,plain,(
% 58.13/9.57 spl5880_992),
% 58.13/9.57 inference(avatar_split_clause,[],[f67111,f83308])).
% 58.13/9.57 tff(f83308,plain,(
% 58.13/9.57 spl5880_992 <=> ($true = bG1218($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_992])])).
% 58.13/9.57 tff(f67111,plain,(
% 58.13/9.57 ($true = bG1218($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47296])).
% 58.13/9.57 tff(f47296,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1218(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38197])).
% 58.13/9.57 tff(f83306,plain,(
% 58.13/9.57 spl5880_991),
% 58.13/9.57 inference(avatar_split_clause,[],[f67110,f83303])).
% 58.13/9.57 tff(f83303,plain,(
% 58.13/9.57 spl5880_991 <=> ($true = bG1219($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_991])])).
% 58.13/9.57 tff(f67110,plain,(
% 58.13/9.57 ($true = bG1219($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47294])).
% 58.13/9.57 tff(f47294,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1219(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38196])).
% 58.13/9.57 tff(f83301,plain,(
% 58.13/9.57 spl5880_990),
% 58.13/9.57 inference(avatar_split_clause,[],[f67109,f83298])).
% 58.13/9.57 tff(f83298,plain,(
% 58.13/9.57 spl5880_990 <=> ($true = bG1220($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_990])])).
% 58.13/9.57 tff(f67109,plain,(
% 58.13/9.57 ($true = bG1220($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47292])).
% 58.13/9.57 tff(f47292,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1220(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38195])).
% 58.13/9.57 tff(f83296,plain,(
% 58.13/9.57 spl5880_989),
% 58.13/9.57 inference(avatar_split_clause,[],[f67108,f83293])).
% 58.13/9.57 tff(f83293,plain,(
% 58.13/9.57 spl5880_989 <=> ($true = bG1221($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_989])])).
% 58.13/9.57 tff(f67108,plain,(
% 58.13/9.57 ($true = bG1221($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47290])).
% 58.13/9.57 tff(f47290,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1221(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38194])).
% 58.13/9.57 tff(f83291,plain,(
% 58.13/9.57 spl5880_988),
% 58.13/9.57 inference(avatar_split_clause,[],[f67107,f83288])).
% 58.13/9.57 tff(f83288,plain,(
% 58.13/9.57 spl5880_988 <=> ($true = bG1222($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_988])])).
% 58.13/9.57 tff(f67107,plain,(
% 58.13/9.57 ($true = bG1222($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47288])).
% 58.13/9.57 tff(f47288,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1222(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38193])).
% 58.13/9.57 tff(f83286,plain,(
% 58.13/9.57 spl5880_987),
% 58.13/9.57 inference(avatar_split_clause,[],[f67106,f83283])).
% 58.13/9.57 tff(f83283,plain,(
% 58.13/9.57 spl5880_987 <=> ($true = bG1223($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_987])])).
% 58.13/9.57 tff(f67106,plain,(
% 58.13/9.57 ($true = bG1223($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47286])).
% 58.13/9.57 tff(f47286,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1223(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38192])).
% 58.13/9.57 tff(f83281,plain,(
% 58.13/9.57 spl5880_986),
% 58.13/9.57 inference(avatar_split_clause,[],[f67105,f83278])).
% 58.13/9.57 tff(f83278,plain,(
% 58.13/9.57 spl5880_986 <=> ($true = bG1224($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_986])])).
% 58.13/9.57 tff(f67105,plain,(
% 58.13/9.57 ($true = bG1224($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47284])).
% 58.13/9.57 tff(f47284,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1224(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38191])).
% 58.13/9.57 tff(f83276,plain,(
% 58.13/9.57 spl5880_985),
% 58.13/9.57 inference(avatar_split_clause,[],[f67104,f83273])).
% 58.13/9.57 tff(f83273,plain,(
% 58.13/9.57 spl5880_985 <=> ($true = bG1225($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_985])])).
% 58.13/9.57 tff(f67104,plain,(
% 58.13/9.57 ($true = bG1225($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47282])).
% 58.13/9.57 tff(f47282,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1225(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38190])).
% 58.13/9.57 tff(f83271,plain,(
% 58.13/9.57 spl5880_984),
% 58.13/9.57 inference(avatar_split_clause,[],[f67103,f83268])).
% 58.13/9.57 tff(f83268,plain,(
% 58.13/9.57 spl5880_984 <=> ($true = bG1226($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_984])])).
% 58.13/9.57 tff(f67103,plain,(
% 58.13/9.57 ($true = bG1226($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47280])).
% 58.13/9.57 tff(f47280,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1226(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38189])).
% 58.13/9.57 tff(f83266,plain,(
% 58.13/9.57 spl5880_983),
% 58.13/9.57 inference(avatar_split_clause,[],[f67102,f83263])).
% 58.13/9.57 tff(f83263,plain,(
% 58.13/9.57 spl5880_983 <=> ($true = bG1227($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_983])])).
% 58.13/9.57 tff(f67102,plain,(
% 58.13/9.57 ($true = bG1227($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47278])).
% 58.13/9.57 tff(f47278,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1227(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38188])).
% 58.13/9.57 tff(f83261,plain,(
% 58.13/9.57 spl5880_982),
% 58.13/9.57 inference(avatar_split_clause,[],[f67100,f83258])).
% 58.13/9.57 tff(f83258,plain,(
% 58.13/9.57 spl5880_982 <=> ($true = bG1229($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_982])])).
% 58.13/9.57 tff(f67100,plain,(
% 58.13/9.57 ($true = bG1229($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47274])).
% 58.13/9.57 tff(f47274,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1229(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38187])).
% 58.13/9.57 tff(f83256,plain,(
% 58.13/9.57 spl5880_981),
% 58.13/9.57 inference(avatar_split_clause,[],[f67099,f83253])).
% 58.13/9.57 tff(f83253,plain,(
% 58.13/9.57 spl5880_981 <=> ($true = bG1230($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_981])])).
% 58.13/9.57 tff(f67099,plain,(
% 58.13/9.57 ($true = bG1230($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47272])).
% 58.13/9.57 tff(f47272,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1230(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38186])).
% 58.13/9.57 tff(f83251,plain,(
% 58.13/9.57 spl5880_980),
% 58.13/9.57 inference(avatar_split_clause,[],[f67098,f83248])).
% 58.13/9.57 tff(f83248,plain,(
% 58.13/9.57 spl5880_980 <=> ($true = bG1239($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_980])])).
% 58.13/9.57 tff(f67098,plain,(
% 58.13/9.57 ($true = bG1239($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47257])).
% 58.13/9.57 tff(f47257,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1239(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38185])).
% 58.13/9.57 tff(f83246,plain,(
% 58.13/9.57 spl5880_979),
% 58.13/9.57 inference(avatar_split_clause,[],[f67097,f83243])).
% 58.13/9.57 tff(f83243,plain,(
% 58.13/9.57 spl5880_979 <=> ($true = bG1240($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_979])])).
% 58.13/9.57 tff(f67097,plain,(
% 58.13/9.57 ($true = bG1240($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47255])).
% 58.13/9.57 tff(f47255,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1240(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38184])).
% 58.13/9.57 tff(f83241,plain,(
% 58.13/9.57 spl5880_978),
% 58.13/9.57 inference(avatar_split_clause,[],[f67096,f83238])).
% 58.13/9.57 tff(f83238,plain,(
% 58.13/9.57 spl5880_978 <=> ($true = bG1241($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_978])])).
% 58.13/9.57 tff(f67096,plain,(
% 58.13/9.57 ($true = bG1241($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47253])).
% 58.13/9.57 tff(f47253,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1241(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38183])).
% 58.13/9.57 tff(f83236,plain,(
% 58.13/9.57 spl5880_977),
% 58.13/9.57 inference(avatar_split_clause,[],[f67095,f83233])).
% 58.13/9.57 tff(f83233,plain,(
% 58.13/9.57 spl5880_977 <=> ($true = bG1242($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_977])])).
% 58.13/9.57 tff(f67095,plain,(
% 58.13/9.57 ($true = bG1242($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47251])).
% 58.13/9.57 tff(f47251,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1242(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38182])).
% 58.13/9.57 tff(f83231,plain,(
% 58.13/9.57 spl5880_976),
% 58.13/9.57 inference(avatar_split_clause,[],[f67094,f83228])).
% 58.13/9.57 tff(f83228,plain,(
% 58.13/9.57 spl5880_976 <=> ($true = bG1243($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_976])])).
% 58.13/9.57 tff(f67094,plain,(
% 58.13/9.57 ($true = bG1243($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47249])).
% 58.13/9.57 tff(f47249,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1243(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38181])).
% 58.13/9.57 tff(f83226,plain,(
% 58.13/9.57 spl5880_975),
% 58.13/9.57 inference(avatar_split_clause,[],[f67093,f83223])).
% 58.13/9.57 tff(f83223,plain,(
% 58.13/9.57 spl5880_975 <=> ($true = bG1244($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_975])])).
% 58.13/9.57 tff(f67093,plain,(
% 58.13/9.57 ($true = bG1244($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47247])).
% 58.13/9.57 tff(f47247,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1244(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38180])).
% 58.13/9.57 tff(f83221,plain,(
% 58.13/9.57 spl5880_974),
% 58.13/9.57 inference(avatar_split_clause,[],[f67088,f83218])).
% 58.13/9.57 tff(f83218,plain,(
% 58.13/9.57 spl5880_974 <=> ($true = bG1253($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_974])])).
% 58.13/9.57 tff(f67088,plain,(
% 58.13/9.57 ($true = bG1253($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47229])).
% 58.13/9.57 tff(f47229,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1253(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38179])).
% 58.13/9.57 tff(f83216,plain,(
% 58.13/9.57 spl5880_973),
% 58.13/9.57 inference(avatar_split_clause,[],[f67087,f83213])).
% 58.13/9.57 tff(f83213,plain,(
% 58.13/9.57 spl5880_973 <=> ($true = bG1254($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_973])])).
% 58.13/9.57 tff(f67087,plain,(
% 58.13/9.57 ($true = bG1254($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47227])).
% 58.13/9.57 tff(f47227,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1254(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38178])).
% 58.13/9.57 tff(f83211,plain,(
% 58.13/9.57 spl5880_972),
% 58.13/9.57 inference(avatar_split_clause,[],[f67086,f83208])).
% 58.13/9.57 tff(f83208,plain,(
% 58.13/9.57 spl5880_972 <=> ($true = bG1255($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_972])])).
% 58.13/9.57 tff(f67086,plain,(
% 58.13/9.57 ($true = bG1255($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47225])).
% 58.13/9.57 tff(f47225,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1255(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38177])).
% 58.13/9.57 tff(f83206,plain,(
% 58.13/9.57 spl5880_971),
% 58.13/9.57 inference(avatar_split_clause,[],[f67085,f83203])).
% 58.13/9.57 tff(f83203,plain,(
% 58.13/9.57 spl5880_971 <=> ($true = bG1256($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_971])])).
% 58.13/9.57 tff(f67085,plain,(
% 58.13/9.57 ($true = bG1256($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47223])).
% 58.13/9.57 tff(f47223,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1256(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38176])).
% 58.13/9.57 tff(f83201,plain,(
% 58.13/9.57 spl5880_970),
% 58.13/9.57 inference(avatar_split_clause,[],[f67084,f83198])).
% 58.13/9.57 tff(f83198,plain,(
% 58.13/9.57 spl5880_970 <=> ($true = bG1257($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_970])])).
% 58.13/9.57 tff(f67084,plain,(
% 58.13/9.57 ($true = bG1257($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47221])).
% 58.13/9.57 tff(f47221,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1257(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38175])).
% 58.13/9.57 tff(f83196,plain,(
% 58.13/9.57 spl5880_969),
% 58.13/9.57 inference(avatar_split_clause,[],[f67083,f83193])).
% 58.13/9.57 tff(f83193,plain,(
% 58.13/9.57 spl5880_969 <=> ($true = bG1258($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_969])])).
% 58.13/9.57 tff(f67083,plain,(
% 58.13/9.57 ($true = bG1258($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47219])).
% 58.13/9.57 tff(f47219,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1258(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38174])).
% 58.13/9.57 tff(f83191,plain,(
% 58.13/9.57 spl5880_968),
% 58.13/9.57 inference(avatar_split_clause,[],[f67080,f83188])).
% 58.13/9.57 tff(f83188,plain,(
% 58.13/9.57 spl5880_968 <=> ($true = bG1261($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_968])])).
% 58.13/9.57 tff(f67080,plain,(
% 58.13/9.57 ($true = bG1261($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47213])).
% 58.13/9.57 tff(f47213,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1261(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38173])).
% 58.13/9.57 tff(f83186,plain,(
% 58.13/9.57 spl5880_967),
% 58.13/9.57 inference(avatar_split_clause,[],[f67079,f83183])).
% 58.13/9.57 tff(f83183,plain,(
% 58.13/9.57 spl5880_967 <=> ($true = bG1262($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_967])])).
% 58.13/9.57 tff(f67079,plain,(
% 58.13/9.57 ($true = bG1262($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47211])).
% 58.13/9.57 tff(f47211,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1262(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38172])).
% 58.13/9.57 tff(f83181,plain,(
% 58.13/9.57 spl5880_966),
% 58.13/9.57 inference(avatar_split_clause,[],[f67076,f83178])).
% 58.13/9.57 tff(f83178,plain,(
% 58.13/9.57 spl5880_966 <=> ($true = bG1269($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_966])])).
% 58.13/9.57 tff(f67076,plain,(
% 58.13/9.57 ($true = bG1269($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47197])).
% 58.13/9.57 tff(f47197,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1269(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38171])).
% 58.13/9.57 tff(f83176,plain,(
% 58.13/9.57 spl5880_965),
% 58.13/9.57 inference(avatar_split_clause,[],[f67075,f83173])).
% 58.13/9.57 tff(f83173,plain,(
% 58.13/9.57 spl5880_965 <=> ($true = bG1270($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_965])])).
% 58.13/9.57 tff(f67075,plain,(
% 58.13/9.57 ($true = bG1270($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47195])).
% 58.13/9.57 tff(f47195,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1270(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38170])).
% 58.13/9.57 tff(f83171,plain,(
% 58.13/9.57 spl5880_964),
% 58.13/9.57 inference(avatar_split_clause,[],[f67074,f83168])).
% 58.13/9.57 tff(f83168,plain,(
% 58.13/9.57 spl5880_964 <=> ($true = bG1271($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_964])])).
% 58.13/9.57 tff(f67074,plain,(
% 58.13/9.57 ($true = bG1271($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47193])).
% 58.13/9.57 tff(f47193,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1271(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38169])).
% 58.13/9.57 tff(f83166,plain,(
% 58.13/9.57 spl5880_963),
% 58.13/9.57 inference(avatar_split_clause,[],[f67073,f83163])).
% 58.13/9.57 tff(f83163,plain,(
% 58.13/9.57 spl5880_963 <=> ($true = bG1272($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_963])])).
% 58.13/9.57 tff(f67073,plain,(
% 58.13/9.57 ($true = bG1272($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47191])).
% 58.13/9.57 tff(f47191,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1272(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38168])).
% 58.13/9.57 tff(f83161,plain,(
% 58.13/9.57 spl5880_962),
% 58.13/9.57 inference(avatar_split_clause,[],[f67072,f83158])).
% 58.13/9.57 tff(f83158,plain,(
% 58.13/9.57 spl5880_962 <=> ($true = bG1273($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_962])])).
% 58.13/9.57 tff(f67072,plain,(
% 58.13/9.57 ($true = bG1273($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47189])).
% 58.13/9.57 tff(f47189,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1273(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38167])).
% 58.13/9.57 tff(f83156,plain,(
% 58.13/9.57 spl5880_961),
% 58.13/9.57 inference(avatar_split_clause,[],[f67071,f83153])).
% 58.13/9.57 tff(f83153,plain,(
% 58.13/9.57 spl5880_961 <=> ($true = bG1274($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_961])])).
% 58.13/9.57 tff(f67071,plain,(
% 58.13/9.57 ($true = bG1274($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47187])).
% 58.13/9.57 tff(f47187,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1274(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38166])).
% 58.13/9.57 tff(f83151,plain,(
% 58.13/9.57 spl5880_960),
% 58.13/9.57 inference(avatar_split_clause,[],[f67064,f83148])).
% 58.13/9.57 tff(f83148,plain,(
% 58.13/9.57 spl5880_960 <=> ($true = bG1291($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_960])])).
% 58.13/9.57 tff(f67064,plain,(
% 58.13/9.57 ($true = bG1291($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47158])).
% 58.13/9.57 tff(f47158,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1291(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38165])).
% 58.13/9.57 tff(f83146,plain,(
% 58.13/9.57 spl5880_959),
% 58.13/9.57 inference(avatar_split_clause,[],[f67063,f83143])).
% 58.13/9.57 tff(f83143,plain,(
% 58.13/9.57 spl5880_959 <=> ($true = bG1292($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_959])])).
% 58.13/9.57 tff(f67063,plain,(
% 58.13/9.57 ($true = bG1292($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47156])).
% 58.13/9.57 tff(f47156,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1292(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38164])).
% 58.13/9.57 tff(f83141,plain,(
% 58.13/9.57 spl5880_958),
% 58.13/9.57 inference(avatar_split_clause,[],[f67062,f83138])).
% 58.13/9.57 tff(f83138,plain,(
% 58.13/9.57 spl5880_958 <=> ($true = bG1293($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_958])])).
% 58.13/9.57 tff(f67062,plain,(
% 58.13/9.57 ($true = bG1293($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47154])).
% 58.13/9.57 tff(f47154,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1293(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38163])).
% 58.13/9.57 tff(f83136,plain,(
% 58.13/9.57 spl5880_957),
% 58.13/9.57 inference(avatar_split_clause,[],[f67061,f83133])).
% 58.13/9.57 tff(f83133,plain,(
% 58.13/9.57 spl5880_957 <=> ($true = bG1294($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_957])])).
% 58.13/9.57 tff(f67061,plain,(
% 58.13/9.57 ($true = bG1294($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47152])).
% 58.13/9.57 tff(f47152,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1294(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38162])).
% 58.13/9.57 tff(f83131,plain,(
% 58.13/9.57 spl5880_956),
% 58.13/9.57 inference(avatar_split_clause,[],[f67060,f83128])).
% 58.13/9.57 tff(f83128,plain,(
% 58.13/9.57 spl5880_956 <=> ($true = bG1295($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_956])])).
% 58.13/9.57 tff(f67060,plain,(
% 58.13/9.57 ($true = bG1295($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47150])).
% 58.13/9.57 tff(f47150,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1295(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38161])).
% 58.13/9.57 tff(f83126,plain,(
% 58.13/9.57 spl5880_955),
% 58.13/9.57 inference(avatar_split_clause,[],[f67059,f83123])).
% 58.13/9.57 tff(f83123,plain,(
% 58.13/9.57 spl5880_955 <=> ($true = bG1296($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_955])])).
% 58.13/9.57 tff(f67059,plain,(
% 58.13/9.57 ($true = bG1296($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47148])).
% 58.13/9.57 tff(f47148,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1296(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38160])).
% 58.13/9.57 tff(f83121,plain,(
% 58.13/9.57 spl5880_954),
% 58.13/9.57 inference(avatar_split_clause,[],[f67058,f83118])).
% 58.13/9.57 tff(f83118,plain,(
% 58.13/9.57 spl5880_954 <=> ($true = bG1297($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_954])])).
% 58.13/9.57 tff(f67058,plain,(
% 58.13/9.57 ($true = bG1297($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47146])).
% 58.13/9.57 tff(f47146,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1297(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38159])).
% 58.13/9.57 tff(f83116,plain,(
% 58.13/9.57 spl5880_953),
% 58.13/9.57 inference(avatar_split_clause,[],[f67057,f83113])).
% 58.13/9.57 tff(f83113,plain,(
% 58.13/9.57 spl5880_953 <=> ($true = bG1298($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_953])])).
% 58.13/9.57 tff(f67057,plain,(
% 58.13/9.57 ($true = bG1298($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47144])).
% 58.13/9.57 tff(f47144,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1298(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38158])).
% 58.13/9.57 tff(f83111,plain,(
% 58.13/9.57 spl5880_952),
% 58.13/9.57 inference(avatar_split_clause,[],[f67056,f83108])).
% 58.13/9.57 tff(f83108,plain,(
% 58.13/9.57 spl5880_952 <=> ($true = bG1299($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_952])])).
% 58.13/9.57 tff(f67056,plain,(
% 58.13/9.57 ($true = bG1299($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47142])).
% 58.13/9.57 tff(f47142,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1299(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38157])).
% 58.13/9.57 tff(f83106,plain,(
% 58.13/9.57 spl5880_951),
% 58.13/9.57 inference(avatar_split_clause,[],[f67055,f83103])).
% 58.13/9.57 tff(f83103,plain,(
% 58.13/9.57 spl5880_951 <=> ($true = bG1300($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_951])])).
% 58.13/9.57 tff(f67055,plain,(
% 58.13/9.57 ($true = bG1300($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47140])).
% 58.13/9.57 tff(f47140,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1300(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38156])).
% 58.13/9.57 tff(f83101,plain,(
% 58.13/9.57 spl5880_950),
% 58.13/9.57 inference(avatar_split_clause,[],[f67054,f83098])).
% 58.13/9.57 tff(f83098,plain,(
% 58.13/9.57 spl5880_950 <=> ($true = bG1301($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_950])])).
% 58.13/9.57 tff(f67054,plain,(
% 58.13/9.57 ($true = bG1301($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47138])).
% 58.13/9.57 tff(f47138,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1301(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38155])).
% 58.13/9.57 tff(f83096,plain,(
% 58.13/9.57 spl5880_949),
% 58.13/9.57 inference(avatar_split_clause,[],[f67053,f83093])).
% 58.13/9.57 tff(f83093,plain,(
% 58.13/9.57 spl5880_949 <=> ($true = bG1302($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_949])])).
% 58.13/9.57 tff(f67053,plain,(
% 58.13/9.57 ($true = bG1302($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47136])).
% 58.13/9.57 tff(f47136,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1302(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38154])).
% 58.13/9.57 tff(f83091,plain,(
% 58.13/9.57 spl5880_948),
% 58.13/9.57 inference(avatar_split_clause,[],[f67046,f83088])).
% 58.13/9.57 tff(f83088,plain,(
% 58.13/9.57 spl5880_948 <=> ($true = bG1319($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_948])])).
% 58.13/9.57 tff(f67046,plain,(
% 58.13/9.57 ($true = bG1319($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47107])).
% 58.13/9.57 tff(f47107,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1319(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38153])).
% 58.13/9.57 tff(f83086,plain,(
% 58.13/9.57 spl5880_947),
% 58.13/9.57 inference(avatar_split_clause,[],[f67045,f83083])).
% 58.13/9.57 tff(f83083,plain,(
% 58.13/9.57 spl5880_947 <=> ($true = bG1320($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_947])])).
% 58.13/9.57 tff(f67045,plain,(
% 58.13/9.57 ($true = bG1320($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47105])).
% 58.13/9.57 tff(f47105,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1320(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38152])).
% 58.13/9.57 tff(f83081,plain,(
% 58.13/9.57 spl5880_946),
% 58.13/9.57 inference(avatar_split_clause,[],[f67044,f83078])).
% 58.13/9.57 tff(f83078,plain,(
% 58.13/9.57 spl5880_946 <=> ($true = bG1321($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_946])])).
% 58.13/9.57 tff(f67044,plain,(
% 58.13/9.57 ($true = bG1321($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47103])).
% 58.13/9.57 tff(f47103,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1321(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38151])).
% 58.13/9.57 tff(f83076,plain,(
% 58.13/9.57 spl5880_945),
% 58.13/9.57 inference(avatar_split_clause,[],[f67043,f83073])).
% 58.13/9.57 tff(f83073,plain,(
% 58.13/9.57 spl5880_945 <=> ($true = bG1322($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_945])])).
% 58.13/9.57 tff(f67043,plain,(
% 58.13/9.57 ($true = bG1322($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47101])).
% 58.13/9.57 tff(f47101,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1322(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38150])).
% 58.13/9.57 tff(f83071,plain,(
% 58.13/9.57 spl5880_944),
% 58.13/9.57 inference(avatar_split_clause,[],[f67042,f83068])).
% 58.13/9.57 tff(f83068,plain,(
% 58.13/9.57 spl5880_944 <=> ($true = bG1323($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_944])])).
% 58.13/9.57 tff(f67042,plain,(
% 58.13/9.57 ($true = bG1323($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47099])).
% 58.13/9.57 tff(f47099,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1323(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38149])).
% 58.13/9.57 tff(f83066,plain,(
% 58.13/9.57 spl5880_943),
% 58.13/9.57 inference(avatar_split_clause,[],[f67041,f83063])).
% 58.13/9.57 tff(f83063,plain,(
% 58.13/9.57 spl5880_943 <=> ($true = bG1324($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_943])])).
% 58.13/9.57 tff(f67041,plain,(
% 58.13/9.57 ($true = bG1324($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47097])).
% 58.13/9.57 tff(f47097,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1324(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38148])).
% 58.13/9.57 tff(f83061,plain,(
% 58.13/9.57 spl5880_942),
% 58.13/9.57 inference(avatar_split_clause,[],[f67040,f83058])).
% 58.13/9.57 tff(f83058,plain,(
% 58.13/9.57 spl5880_942 <=> ($true = bG1325($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_942])])).
% 58.13/9.57 tff(f67040,plain,(
% 58.13/9.57 ($true = bG1325($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47095])).
% 58.13/9.57 tff(f47095,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1325(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38147])).
% 58.13/9.57 tff(f83056,plain,(
% 58.13/9.57 spl5880_941),
% 58.13/9.57 inference(avatar_split_clause,[],[f67039,f83053])).
% 58.13/9.57 tff(f83053,plain,(
% 58.13/9.57 spl5880_941 <=> ($true = bG1326($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_941])])).
% 58.13/9.57 tff(f67039,plain,(
% 58.13/9.57 ($true = bG1326($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47093])).
% 58.13/9.57 tff(f47093,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1326(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38146])).
% 58.13/9.57 tff(f83051,plain,(
% 58.13/9.57 spl5880_940),
% 58.13/9.57 inference(avatar_split_clause,[],[f67038,f83048])).
% 58.13/9.57 tff(f83048,plain,(
% 58.13/9.57 spl5880_940 <=> ($true = bG1327($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_940])])).
% 58.13/9.57 tff(f67038,plain,(
% 58.13/9.57 ($true = bG1327($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47091])).
% 58.13/9.57 tff(f47091,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1327(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38145])).
% 58.13/9.57 tff(f83046,plain,(
% 58.13/9.57 spl5880_939),
% 58.13/9.57 inference(avatar_split_clause,[],[f67037,f83043])).
% 58.13/9.57 tff(f83043,plain,(
% 58.13/9.57 spl5880_939 <=> ($true = bG1328($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_939])])).
% 58.13/9.57 tff(f67037,plain,(
% 58.13/9.57 ($true = bG1328($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47089])).
% 58.13/9.57 tff(f47089,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1328(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38144])).
% 58.13/9.57 tff(f83041,plain,(
% 58.13/9.57 spl5880_938),
% 58.13/9.57 inference(avatar_split_clause,[],[f67030,f83038])).
% 58.13/9.57 tff(f83038,plain,(
% 58.13/9.57 spl5880_938 <=> ($true = bG1345($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_938])])).
% 58.13/9.57 tff(f67030,plain,(
% 58.13/9.57 ($true = bG1345($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47060])).
% 58.13/9.57 tff(f47060,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1345(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38143])).
% 58.13/9.57 tff(f83036,plain,(
% 58.13/9.57 spl5880_937),
% 58.13/9.57 inference(avatar_split_clause,[],[f67029,f83033])).
% 58.13/9.57 tff(f83033,plain,(
% 58.13/9.57 spl5880_937 <=> ($true = bG1346($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_937])])).
% 58.13/9.57 tff(f67029,plain,(
% 58.13/9.57 ($true = bG1346($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47058])).
% 58.13/9.57 tff(f47058,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1346(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38142])).
% 58.13/9.57 tff(f83031,plain,(
% 58.13/9.57 spl5880_936),
% 58.13/9.57 inference(avatar_split_clause,[],[f67028,f83028])).
% 58.13/9.57 tff(f83028,plain,(
% 58.13/9.57 spl5880_936 <=> ($true = bG1347($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_936])])).
% 58.13/9.57 tff(f67028,plain,(
% 58.13/9.57 ($true = bG1347($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47056])).
% 58.13/9.57 tff(f47056,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1347(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38141])).
% 58.13/9.57 tff(f83026,plain,(
% 58.13/9.57 spl5880_935),
% 58.13/9.57 inference(avatar_split_clause,[],[f67027,f83023])).
% 58.13/9.57 tff(f83023,plain,(
% 58.13/9.57 spl5880_935 <=> ($true = bG1348($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_935])])).
% 58.13/9.57 tff(f67027,plain,(
% 58.13/9.57 ($true = bG1348($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47054])).
% 58.13/9.57 tff(f47054,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1348(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38140])).
% 58.13/9.57 tff(f83021,plain,(
% 58.13/9.57 spl5880_934),
% 58.13/9.57 inference(avatar_split_clause,[],[f67026,f83018])).
% 58.13/9.57 tff(f83018,plain,(
% 58.13/9.57 spl5880_934 <=> ($true = bG1349($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_934])])).
% 58.13/9.57 tff(f67026,plain,(
% 58.13/9.57 ($true = bG1349($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47052])).
% 58.13/9.57 tff(f47052,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1349(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38139])).
% 58.13/9.57 tff(f83016,plain,(
% 58.13/9.57 spl5880_933),
% 58.13/9.57 inference(avatar_split_clause,[],[f67025,f83013])).
% 58.13/9.57 tff(f83013,plain,(
% 58.13/9.57 spl5880_933 <=> ($true = bG1350($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_933])])).
% 58.13/9.57 tff(f67025,plain,(
% 58.13/9.57 ($true = bG1350($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47050])).
% 58.13/9.57 tff(f47050,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1350(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38138])).
% 58.13/9.57 tff(f83011,plain,(
% 58.13/9.57 spl5880_932),
% 58.13/9.57 inference(avatar_split_clause,[],[f67024,f83008])).
% 58.13/9.57 tff(f83008,plain,(
% 58.13/9.57 spl5880_932 <=> ($true = bG1351($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_932])])).
% 58.13/9.57 tff(f67024,plain,(
% 58.13/9.57 ($true = bG1351($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47048])).
% 58.13/9.57 tff(f47048,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1351(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38137])).
% 58.13/9.57 tff(f83006,plain,(
% 58.13/9.57 spl5880_931),
% 58.13/9.57 inference(avatar_split_clause,[],[f67023,f83003])).
% 58.13/9.57 tff(f83003,plain,(
% 58.13/9.57 spl5880_931 <=> ($true = bG1352($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_931])])).
% 58.13/9.57 tff(f67023,plain,(
% 58.13/9.57 ($true = bG1352($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47046])).
% 58.13/9.57 tff(f47046,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1352(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38136])).
% 58.13/9.57 tff(f83001,plain,(
% 58.13/9.57 spl5880_930),
% 58.13/9.57 inference(avatar_split_clause,[],[f67022,f82998])).
% 58.13/9.57 tff(f82998,plain,(
% 58.13/9.57 spl5880_930 <=> ($true = bG1353($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_930])])).
% 58.13/9.57 tff(f67022,plain,(
% 58.13/9.57 ($true = bG1353($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47044])).
% 58.13/9.57 tff(f47044,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1353(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38135])).
% 58.13/9.57 tff(f82996,plain,(
% 58.13/9.57 spl5880_929),
% 58.13/9.57 inference(avatar_split_clause,[],[f67021,f82993])).
% 58.13/9.57 tff(f82993,plain,(
% 58.13/9.57 spl5880_929 <=> ($true = bG1354($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_929])])).
% 58.13/9.57 tff(f67021,plain,(
% 58.13/9.57 ($true = bG1354($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47042])).
% 58.13/9.57 tff(f47042,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1354(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38134])).
% 58.13/9.57 tff(f82991,plain,(
% 58.13/9.57 spl5880_928),
% 58.13/9.57 inference(avatar_split_clause,[],[f67020,f82988])).
% 58.13/9.57 tff(f82988,plain,(
% 58.13/9.57 spl5880_928 <=> ($true = bG1355($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_928])])).
% 58.13/9.57 tff(f67020,plain,(
% 58.13/9.57 ($true = bG1355($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47040])).
% 58.13/9.57 tff(f47040,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1355(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38133])).
% 58.13/9.57 tff(f82986,plain,(
% 58.13/9.57 spl5880_927),
% 58.13/9.57 inference(avatar_split_clause,[],[f67019,f82983])).
% 58.13/9.57 tff(f82983,plain,(
% 58.13/9.57 spl5880_927 <=> ($true = bG1356($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_927])])).
% 58.13/9.57 tff(f67019,plain,(
% 58.13/9.57 ($true = bG1356($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47038])).
% 58.13/9.57 tff(f47038,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1356(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38132])).
% 58.13/9.57 tff(f82981,plain,(
% 58.13/9.57 spl5880_926),
% 58.13/9.57 inference(avatar_split_clause,[],[f67018,f82978])).
% 58.13/9.57 tff(f82978,plain,(
% 58.13/9.57 spl5880_926 <=> ($true = bG1357($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_926])])).
% 58.13/9.57 tff(f67018,plain,(
% 58.13/9.57 ($true = bG1357($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47036])).
% 58.13/9.57 tff(f47036,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1357(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38131])).
% 58.13/9.57 tff(f82976,plain,(
% 58.13/9.57 spl5880_925),
% 58.13/9.57 inference(avatar_split_clause,[],[f67017,f82973])).
% 58.13/9.57 tff(f82973,plain,(
% 58.13/9.57 spl5880_925 <=> ($true = bG1358($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_925])])).
% 58.13/9.57 tff(f67017,plain,(
% 58.13/9.57 ($true = bG1358($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47034])).
% 58.13/9.57 tff(f47034,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1358(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38130])).
% 58.13/9.57 tff(f82971,plain,(
% 58.13/9.57 spl5880_924),
% 58.13/9.57 inference(avatar_split_clause,[],[f67016,f82968])).
% 58.13/9.57 tff(f82968,plain,(
% 58.13/9.57 spl5880_924 <=> ($true = bG1359($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_924])])).
% 58.13/9.57 tff(f67016,plain,(
% 58.13/9.57 ($true = bG1359($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47032])).
% 58.13/9.57 tff(f47032,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1359(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38129])).
% 58.13/9.57 tff(f82966,plain,(
% 58.13/9.57 spl5880_923),
% 58.13/9.57 inference(avatar_split_clause,[],[f67015,f82963])).
% 58.13/9.57 tff(f82963,plain,(
% 58.13/9.57 spl5880_923 <=> ($true = bG1360($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_923])])).
% 58.13/9.57 tff(f67015,plain,(
% 58.13/9.57 ($true = bG1360($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47030])).
% 58.13/9.57 tff(f47030,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1360(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38128])).
% 58.13/9.57 tff(f82961,plain,(
% 58.13/9.57 spl5880_922),
% 58.13/9.57 inference(avatar_split_clause,[],[f67008,f82958])).
% 58.13/9.57 tff(f82958,plain,(
% 58.13/9.57 spl5880_922 <=> ($true = bG1377($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_922])])).
% 58.13/9.57 tff(f67008,plain,(
% 58.13/9.57 ($true = bG1377($true))),
% 58.13/9.57 inference(equality_resolution,[],[f47001])).
% 58.13/9.57 tff(f47001,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1377(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38127])).
% 58.13/9.57 tff(f82956,plain,(
% 58.13/9.57 spl5880_921),
% 58.13/9.57 inference(avatar_split_clause,[],[f67007,f82953])).
% 58.13/9.57 tff(f82953,plain,(
% 58.13/9.57 spl5880_921 <=> ($true = bG1378($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_921])])).
% 58.13/9.57 tff(f67007,plain,(
% 58.13/9.57 ($true = bG1378($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46999])).
% 58.13/9.57 tff(f46999,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1378(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38126])).
% 58.13/9.57 tff(f82951,plain,(
% 58.13/9.57 spl5880_920),
% 58.13/9.57 inference(avatar_split_clause,[],[f67006,f82948])).
% 58.13/9.57 tff(f82948,plain,(
% 58.13/9.57 spl5880_920 <=> ($true = bG1379($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_920])])).
% 58.13/9.57 tff(f67006,plain,(
% 58.13/9.57 ($true = bG1379($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46997])).
% 58.13/9.57 tff(f46997,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1379(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38125])).
% 58.13/9.57 tff(f82946,plain,(
% 58.13/9.57 spl5880_919),
% 58.13/9.57 inference(avatar_split_clause,[],[f67005,f82943])).
% 58.13/9.57 tff(f82943,plain,(
% 58.13/9.57 spl5880_919 <=> ($true = bG1380($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_919])])).
% 58.13/9.57 tff(f67005,plain,(
% 58.13/9.57 ($true = bG1380($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46995])).
% 58.13/9.57 tff(f46995,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1380(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38124])).
% 58.13/9.57 tff(f82941,plain,(
% 58.13/9.57 spl5880_918),
% 58.13/9.57 inference(avatar_split_clause,[],[f67003,f82938])).
% 58.13/9.57 tff(f82938,plain,(
% 58.13/9.57 spl5880_918 <=> ($true = bG1382($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_918])])).
% 58.13/9.57 tff(f67003,plain,(
% 58.13/9.57 ($true = bG1382($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46991])).
% 58.13/9.57 tff(f46991,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1382(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38123])).
% 58.13/9.57 tff(f82936,plain,(
% 58.13/9.57 spl5880_917),
% 58.13/9.57 inference(avatar_split_clause,[],[f67002,f82933])).
% 58.13/9.57 tff(f82933,plain,(
% 58.13/9.57 spl5880_917 <=> ($true = bG1383($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_917])])).
% 58.13/9.57 tff(f67002,plain,(
% 58.13/9.57 ($true = bG1383($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46989])).
% 58.13/9.57 tff(f46989,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1383(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38122])).
% 58.13/9.57 tff(f82931,plain,(
% 58.13/9.57 spl5880_916),
% 58.13/9.57 inference(avatar_split_clause,[],[f66999,f82928])).
% 58.13/9.57 tff(f82928,plain,(
% 58.13/9.57 spl5880_916 <=> ($true = bG1395($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_916])])).
% 58.13/9.57 tff(f66999,plain,(
% 58.13/9.57 ($true = bG1395($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46968])).
% 58.13/9.57 tff(f46968,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1395(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38121])).
% 58.13/9.57 tff(f82926,plain,(
% 58.13/9.57 spl5880_915),
% 58.13/9.57 inference(avatar_split_clause,[],[f66998,f82923])).
% 58.13/9.57 tff(f82923,plain,(
% 58.13/9.57 spl5880_915 <=> ($true = bG1396($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_915])])).
% 58.13/9.57 tff(f66998,plain,(
% 58.13/9.57 ($true = bG1396($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46966])).
% 58.13/9.57 tff(f46966,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1396(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38120])).
% 58.13/9.57 tff(f82921,plain,(
% 58.13/9.57 spl5880_914),
% 58.13/9.57 inference(avatar_split_clause,[],[f66996,f82918])).
% 58.13/9.57 tff(f82918,plain,(
% 58.13/9.57 spl5880_914 <=> ($true = bG1398($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_914])])).
% 58.13/9.57 tff(f66996,plain,(
% 58.13/9.57 ($true = bG1398($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46962])).
% 58.13/9.57 tff(f46962,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1398(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38119])).
% 58.13/9.57 tff(f82916,plain,(
% 58.13/9.57 spl5880_913),
% 58.13/9.57 inference(avatar_split_clause,[],[f66995,f82913])).
% 58.13/9.57 tff(f82913,plain,(
% 58.13/9.57 spl5880_913 <=> ($true = bG1399($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_913])])).
% 58.13/9.57 tff(f66995,plain,(
% 58.13/9.57 ($true = bG1399($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46960])).
% 58.13/9.57 tff(f46960,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1399(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38118])).
% 58.13/9.57 tff(f82911,plain,(
% 58.13/9.57 spl5880_912),
% 58.13/9.57 inference(avatar_split_clause,[],[f66994,f82908])).
% 58.13/9.57 tff(f82908,plain,(
% 58.13/9.57 spl5880_912 <=> ($true = bG1408($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_912])])).
% 58.13/9.57 tff(f66994,plain,(
% 58.13/9.57 ($true = bG1408($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46945])).
% 58.13/9.57 tff(f46945,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1408(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38117])).
% 58.13/9.57 tff(f82906,plain,(
% 58.13/9.57 spl5880_911),
% 58.13/9.57 inference(avatar_split_clause,[],[f66993,f82903])).
% 58.13/9.57 tff(f82903,plain,(
% 58.13/9.57 spl5880_911 <=> ($true = bG1409($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_911])])).
% 58.13/9.57 tff(f66993,plain,(
% 58.13/9.57 ($true = bG1409($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46943])).
% 58.13/9.57 tff(f46943,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1409(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38116])).
% 58.13/9.57 tff(f82901,plain,(
% 58.13/9.57 spl5880_910),
% 58.13/9.57 inference(avatar_split_clause,[],[f66991,f82898])).
% 58.13/9.57 tff(f82898,plain,(
% 58.13/9.57 spl5880_910 <=> ($true = bG1411($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_910])])).
% 58.13/9.57 tff(f66991,plain,(
% 58.13/9.57 ($true = bG1411($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46939])).
% 58.13/9.57 tff(f46939,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1411(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38115])).
% 58.13/9.57 tff(f82896,plain,(
% 58.13/9.57 spl5880_909),
% 58.13/9.57 inference(avatar_split_clause,[],[f66990,f82893])).
% 58.13/9.57 tff(f82893,plain,(
% 58.13/9.57 spl5880_909 <=> ($true = bG1412($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_909])])).
% 58.13/9.57 tff(f66990,plain,(
% 58.13/9.57 ($true = bG1412($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46937])).
% 58.13/9.57 tff(f46937,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1412(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38114])).
% 58.13/9.57 tff(f82891,plain,(
% 58.13/9.57 spl5880_908),
% 58.13/9.57 inference(avatar_split_clause,[],[f66989,f82888])).
% 58.13/9.57 tff(f82888,plain,(
% 58.13/9.57 spl5880_908 <=> ($true = bG1413($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_908])])).
% 58.13/9.57 tff(f66989,plain,(
% 58.13/9.57 ($true = bG1413($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46935])).
% 58.13/9.57 tff(f46935,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1413(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38113])).
% 58.13/9.57 tff(f82886,plain,(
% 58.13/9.57 spl5880_907),
% 58.13/9.57 inference(avatar_split_clause,[],[f66988,f82883])).
% 58.13/9.57 tff(f82883,plain,(
% 58.13/9.57 spl5880_907 <=> ($true = bG1414($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_907])])).
% 58.13/9.57 tff(f66988,plain,(
% 58.13/9.57 ($true = bG1414($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46933])).
% 58.13/9.57 tff(f46933,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1414(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38112])).
% 58.13/9.57 tff(f82881,plain,(
% 58.13/9.57 spl5880_906),
% 58.13/9.57 inference(avatar_split_clause,[],[f66987,f82878])).
% 58.13/9.57 tff(f82878,plain,(
% 58.13/9.57 spl5880_906 <=> ($true = bG1415($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_906])])).
% 58.13/9.57 tff(f66987,plain,(
% 58.13/9.57 ($true = bG1415($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46931])).
% 58.13/9.57 tff(f46931,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1415(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38111])).
% 58.13/9.57 tff(f82876,plain,(
% 58.13/9.57 spl5880_905),
% 58.13/9.57 inference(avatar_split_clause,[],[f66986,f82873])).
% 58.13/9.57 tff(f82873,plain,(
% 58.13/9.57 spl5880_905 <=> ($true = bG1416($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_905])])).
% 58.13/9.57 tff(f66986,plain,(
% 58.13/9.57 ($true = bG1416($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46929])).
% 58.13/9.57 tff(f46929,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1416(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38110])).
% 58.13/9.57 tff(f82871,plain,(
% 58.13/9.57 spl5880_904),
% 58.13/9.57 inference(avatar_split_clause,[],[f66985,f82868])).
% 58.13/9.57 tff(f82868,plain,(
% 58.13/9.57 spl5880_904 <=> ($true = bG1425($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_904])])).
% 58.13/9.57 tff(f66985,plain,(
% 58.13/9.57 ($true = bG1425($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46914])).
% 58.13/9.57 tff(f46914,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1425(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38109])).
% 58.13/9.57 tff(f82866,plain,(
% 58.13/9.57 spl5880_903),
% 58.13/9.57 inference(avatar_split_clause,[],[f66984,f82863])).
% 58.13/9.57 tff(f82863,plain,(
% 58.13/9.57 spl5880_903 <=> ($true = bG1426($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_903])])).
% 58.13/9.57 tff(f66984,plain,(
% 58.13/9.57 ($true = bG1426($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46912])).
% 58.13/9.57 tff(f46912,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1426(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38108])).
% 58.13/9.57 tff(f82861,plain,(
% 58.13/9.57 spl5880_902),
% 58.13/9.57 inference(avatar_split_clause,[],[f66983,f82858])).
% 58.13/9.57 tff(f82858,plain,(
% 58.13/9.57 spl5880_902 <=> ($true = bG1427($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_902])])).
% 58.13/9.57 tff(f66983,plain,(
% 58.13/9.57 ($true = bG1427($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46910])).
% 58.13/9.57 tff(f46910,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1427(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38107])).
% 58.13/9.57 tff(f82856,plain,(
% 58.13/9.57 spl5880_901),
% 58.13/9.57 inference(avatar_split_clause,[],[f66982,f82853])).
% 58.13/9.57 tff(f82853,plain,(
% 58.13/9.57 spl5880_901 <=> ($true = bG1428($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_901])])).
% 58.13/9.57 tff(f66982,plain,(
% 58.13/9.57 ($true = bG1428($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46908])).
% 58.13/9.57 tff(f46908,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1428(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38106])).
% 58.13/9.57 tff(f82851,plain,(
% 58.13/9.57 spl5880_900),
% 58.13/9.57 inference(avatar_split_clause,[],[f66981,f82848])).
% 58.13/9.57 tff(f82848,plain,(
% 58.13/9.57 spl5880_900 <=> ($true = bG1429($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_900])])).
% 58.13/9.57 tff(f66981,plain,(
% 58.13/9.57 ($true = bG1429($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46906])).
% 58.13/9.57 tff(f46906,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1429(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38105])).
% 58.13/9.57 tff(f82846,plain,(
% 58.13/9.57 spl5880_899),
% 58.13/9.57 inference(avatar_split_clause,[],[f66980,f82843])).
% 58.13/9.57 tff(f82843,plain,(
% 58.13/9.57 spl5880_899 <=> ($true = bG1430($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_899])])).
% 58.13/9.57 tff(f66980,plain,(
% 58.13/9.57 ($true = bG1430($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46904])).
% 58.13/9.57 tff(f46904,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1430(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38104])).
% 58.13/9.57 tff(f82841,plain,(
% 58.13/9.57 spl5880_898),
% 58.13/9.57 inference(avatar_split_clause,[],[f66978,f82838])).
% 58.13/9.57 tff(f82838,plain,(
% 58.13/9.57 spl5880_898 <=> ($true = bG1432($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_898])])).
% 58.13/9.57 tff(f66978,plain,(
% 58.13/9.57 ($true = bG1432($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46900])).
% 58.13/9.57 tff(f46900,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1432(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38103])).
% 58.13/9.57 tff(f82836,plain,(
% 58.13/9.57 spl5880_897),
% 58.13/9.57 inference(avatar_split_clause,[],[f66977,f82833])).
% 58.13/9.57 tff(f82833,plain,(
% 58.13/9.57 spl5880_897 <=> ($true = bG1433($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_897])])).
% 58.13/9.57 tff(f66977,plain,(
% 58.13/9.57 ($true = bG1433($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46898])).
% 58.13/9.57 tff(f46898,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1433(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38102])).
% 58.13/9.57 tff(f82831,plain,(
% 58.13/9.57 spl5880_896),
% 58.13/9.57 inference(avatar_split_clause,[],[f66976,f82828])).
% 58.13/9.57 tff(f82828,plain,(
% 58.13/9.57 spl5880_896 <=> ($true = bG1434($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_896])])).
% 58.13/9.57 tff(f66976,plain,(
% 58.13/9.57 ($true = bG1434($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46896])).
% 58.13/9.57 tff(f46896,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1434(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38101])).
% 58.13/9.57 tff(f82826,plain,(
% 58.13/9.57 spl5880_895),
% 58.13/9.57 inference(avatar_split_clause,[],[f66975,f82823])).
% 58.13/9.57 tff(f82823,plain,(
% 58.13/9.57 spl5880_895 <=> ($true = bG1435($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_895])])).
% 58.13/9.57 tff(f66975,plain,(
% 58.13/9.57 ($true = bG1435($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46894])).
% 58.13/9.57 tff(f46894,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1435(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38100])).
% 58.13/9.57 tff(f82821,plain,(
% 58.13/9.57 spl5880_894),
% 58.13/9.57 inference(avatar_split_clause,[],[f66972,f82818])).
% 58.13/9.57 tff(f82818,plain,(
% 58.13/9.57 spl5880_894 <=> ($true = bG1438($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_894])])).
% 58.13/9.57 tff(f66972,plain,(
% 58.13/9.57 ($true = bG1438($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46888])).
% 58.13/9.57 tff(f46888,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1438(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38099])).
% 58.13/9.57 tff(f82816,plain,(
% 58.13/9.57 spl5880_893),
% 58.13/9.57 inference(avatar_split_clause,[],[f66971,f82813])).
% 58.13/9.57 tff(f82813,plain,(
% 58.13/9.57 spl5880_893 <=> ($true = bG1439($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_893])])).
% 58.13/9.57 tff(f66971,plain,(
% 58.13/9.57 ($true = bG1439($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46886])).
% 58.13/9.57 tff(f46886,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1439(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38098])).
% 58.13/9.57 tff(f82811,plain,(
% 58.13/9.57 spl5880_892),
% 58.13/9.57 inference(avatar_split_clause,[],[f66966,f82808])).
% 58.13/9.57 tff(f82808,plain,(
% 58.13/9.57 spl5880_892 <=> ($true = bG1463($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_892])])).
% 58.13/9.57 tff(f66966,plain,(
% 58.13/9.57 ($true = bG1463($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46835])).
% 58.13/9.57 tff(f46835,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1463(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38089])).
% 58.13/9.57 tff(f82806,plain,(
% 58.13/9.57 spl5880_891),
% 58.13/9.57 inference(avatar_split_clause,[],[f66965,f82803])).
% 58.13/9.57 tff(f82803,plain,(
% 58.13/9.57 spl5880_891 <=> ($true = bG1464($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_891])])).
% 58.13/9.57 tff(f66965,plain,(
% 58.13/9.57 ($true = bG1464($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46833])).
% 58.13/9.57 tff(f46833,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1464(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38088])).
% 58.13/9.57 tff(f82801,plain,(
% 58.13/9.57 spl5880_890),
% 58.13/9.57 inference(avatar_split_clause,[],[f66964,f82798])).
% 58.13/9.57 tff(f82798,plain,(
% 58.13/9.57 spl5880_890 <=> ($true = bG1468($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_890])])).
% 58.13/9.57 tff(f66964,plain,(
% 58.13/9.57 ($true = bG1468($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46825])).
% 58.13/9.57 tff(f46825,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1468(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38080])).
% 58.13/9.57 tff(f82796,plain,(
% 58.13/9.57 spl5880_889),
% 58.13/9.57 inference(avatar_split_clause,[],[f66963,f82793])).
% 58.13/9.57 tff(f82793,plain,(
% 58.13/9.57 spl5880_889 <=> ($true = bG1469($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_889])])).
% 58.13/9.57 tff(f66963,plain,(
% 58.13/9.57 ($true = bG1469($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46823])).
% 58.13/9.57 tff(f46823,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1469(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38079])).
% 58.13/9.57 tff(f82791,plain,(
% 58.13/9.57 spl5880_888),
% 58.13/9.57 inference(avatar_split_clause,[],[f66962,f82788])).
% 58.13/9.57 tff(f82788,plain,(
% 58.13/9.57 spl5880_888 <=> ($true = bG1470($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_888])])).
% 58.13/9.57 tff(f66962,plain,(
% 58.13/9.57 ($true = bG1470($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46821])).
% 58.13/9.57 tff(f46821,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1470(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38078])).
% 58.13/9.57 tff(f82786,plain,(
% 58.13/9.57 spl5880_887),
% 58.13/9.57 inference(avatar_split_clause,[],[f66961,f82783])).
% 58.13/9.57 tff(f82783,plain,(
% 58.13/9.57 spl5880_887 <=> ($true = bG1471($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_887])])).
% 58.13/9.57 tff(f66961,plain,(
% 58.13/9.57 ($true = bG1471($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46819])).
% 58.13/9.57 tff(f46819,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1471(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38077])).
% 58.13/9.57 tff(f82781,plain,(
% 58.13/9.57 spl5880_886),
% 58.13/9.57 inference(avatar_split_clause,[],[f66960,f82778])).
% 58.13/9.57 tff(f82778,plain,(
% 58.13/9.57 spl5880_886 <=> ($true = bG1475($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_886])])).
% 58.13/9.57 tff(f66960,plain,(
% 58.13/9.57 ($true = bG1475($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46811])).
% 58.13/9.57 tff(f46811,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1475(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38069])).
% 58.13/9.57 tff(f82776,plain,(
% 58.13/9.57 spl5880_885),
% 58.13/9.57 inference(avatar_split_clause,[],[f66959,f82773])).
% 58.13/9.57 tff(f82773,plain,(
% 58.13/9.57 spl5880_885 <=> ($true = bG1476($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_885])])).
% 58.13/9.57 tff(f66959,plain,(
% 58.13/9.57 ($true = bG1476($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46809])).
% 58.13/9.57 tff(f46809,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1476(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38068])).
% 58.13/9.57 tff(f82770,plain,(
% 58.13/9.57 spl5880_884),
% 58.13/9.57 inference(avatar_split_clause,[],[f66957,f82767])).
% 58.13/9.57 tff(f66957,plain,(
% 58.13/9.57 iG1477(one_one(nat),$true)),
% 58.13/9.57 inference(equality_resolution,[],[f66956])).
% 58.13/9.57 tff(f66956,plain,(
% 58.13/9.57 ( ! [X2 : nat] : (iG1477(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.57 inference(equality_resolution,[],[f46807])).
% 58.13/9.57 tff(f46807,plain,(
% 58.13/9.57 ( ! [X2 : nat,X3 : $o] : (iG1477(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38067])).
% 58.13/9.57 tff(f82765,plain,(
% 58.13/9.57 spl5880_883),
% 58.13/9.57 inference(avatar_split_clause,[],[f66952,f82762])).
% 58.13/9.57 tff(f82762,plain,(
% 58.13/9.57 spl5880_883 <=> ($true = bG1481($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_883])])).
% 58.13/9.57 tff(f66952,plain,(
% 58.13/9.57 ($true = bG1481($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46796])).
% 58.13/9.57 tff(f46796,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1481(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38064])).
% 58.13/9.57 tff(f82760,plain,(
% 58.13/9.57 spl5880_882),
% 58.13/9.57 inference(avatar_split_clause,[],[f66951,f82757])).
% 58.13/9.57 tff(f82757,plain,(
% 58.13/9.57 spl5880_882 <=> ($true = bG1482($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_882])])).
% 58.13/9.57 tff(f66951,plain,(
% 58.13/9.57 ($true = bG1482($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46794])).
% 58.13/9.57 tff(f46794,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1482(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38063])).
% 58.13/9.57 tff(f82755,plain,(
% 58.13/9.57 spl5880_881),
% 58.13/9.57 inference(avatar_split_clause,[],[f66950,f82752])).
% 58.13/9.57 tff(f82752,plain,(
% 58.13/9.57 spl5880_881 <=> ($true = bG1483($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_881])])).
% 58.13/9.57 tff(f66950,plain,(
% 58.13/9.57 ($true = bG1483($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46792])).
% 58.13/9.57 tff(f46792,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1483(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38062])).
% 58.13/9.57 tff(f82750,plain,(
% 58.13/9.57 spl5880_880),
% 58.13/9.57 inference(avatar_split_clause,[],[f66949,f82747])).
% 58.13/9.57 tff(f82747,plain,(
% 58.13/9.57 spl5880_880 <=> ($true = bG1484($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_880])])).
% 58.13/9.57 tff(f66949,plain,(
% 58.13/9.57 ($true = bG1484($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46790])).
% 58.13/9.57 tff(f46790,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1484(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38061])).
% 58.13/9.57 tff(f82745,plain,(
% 58.13/9.57 spl5880_879),
% 58.13/9.57 inference(avatar_split_clause,[],[f66946,f82742])).
% 58.13/9.57 tff(f82742,plain,(
% 58.13/9.57 spl5880_879 <=> ($true = bG1487($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_879])])).
% 58.13/9.57 tff(f66946,plain,(
% 58.13/9.57 ($true = bG1487($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46784])).
% 58.13/9.57 tff(f46784,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1487(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38060])).
% 58.13/9.57 tff(f82740,plain,(
% 58.13/9.57 spl5880_878),
% 58.13/9.57 inference(avatar_split_clause,[],[f66945,f82737])).
% 58.13/9.57 tff(f82737,plain,(
% 58.13/9.57 spl5880_878 <=> ($true = bG1488($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_878])])).
% 58.13/9.57 tff(f66945,plain,(
% 58.13/9.57 ($true = bG1488($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46782])).
% 58.13/9.57 tff(f46782,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1488(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38059])).
% 58.13/9.57 tff(f82735,plain,(
% 58.13/9.57 spl5880_877),
% 58.13/9.57 inference(avatar_split_clause,[],[f66944,f82732])).
% 58.13/9.57 tff(f82732,plain,(
% 58.13/9.57 spl5880_877 <=> ($true = bG1492($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_877])])).
% 58.13/9.57 tff(f66944,plain,(
% 58.13/9.57 ($true = bG1492($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46775])).
% 58.13/9.57 tff(f46775,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1492(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38057])).
% 58.13/9.57 tff(f82730,plain,(
% 58.13/9.57 spl5880_876),
% 58.13/9.57 inference(avatar_split_clause,[],[f66943,f82727])).
% 58.13/9.57 tff(f82727,plain,(
% 58.13/9.57 spl5880_876 <=> ($true = bG1493($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_876])])).
% 58.13/9.57 tff(f66943,plain,(
% 58.13/9.57 ($true = bG1493($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46773])).
% 58.13/9.57 tff(f46773,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1493(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38056])).
% 58.13/9.57 tff(f82725,plain,(
% 58.13/9.57 spl5880_875),
% 58.13/9.57 inference(avatar_split_clause,[],[f66942,f82722])).
% 58.13/9.57 tff(f82722,plain,(
% 58.13/9.57 spl5880_875 <=> ($true = bG1498($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_875])])).
% 58.13/9.57 tff(f66942,plain,(
% 58.13/9.57 ($true = bG1498($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46763])).
% 58.13/9.57 tff(f46763,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1498(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38053])).
% 58.13/9.57 tff(f82720,plain,(
% 58.13/9.57 spl5880_874),
% 58.13/9.57 inference(avatar_split_clause,[],[f66941,f82717])).
% 58.13/9.57 tff(f82717,plain,(
% 58.13/9.57 spl5880_874 <=> ($true = bG1499($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_874])])).
% 58.13/9.57 tff(f66941,plain,(
% 58.13/9.57 ($true = bG1499($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46761])).
% 58.13/9.57 tff(f46761,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1499(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38052])).
% 58.13/9.57 tff(f82715,plain,(
% 58.13/9.57 spl5880_873),
% 58.13/9.57 inference(avatar_split_clause,[],[f66940,f82712])).
% 58.13/9.57 tff(f82712,plain,(
% 58.13/9.57 spl5880_873 <=> ($true = bG1500($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_873])])).
% 58.13/9.57 tff(f66940,plain,(
% 58.13/9.57 ($true = bG1500($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46759])).
% 58.13/9.57 tff(f46759,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1500(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38051])).
% 58.13/9.57 tff(f82710,plain,(
% 58.13/9.57 spl5880_872),
% 58.13/9.57 inference(avatar_split_clause,[],[f66939,f82707])).
% 58.13/9.57 tff(f82707,plain,(
% 58.13/9.57 spl5880_872 <=> ($true = bG1501($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_872])])).
% 58.13/9.57 tff(f66939,plain,(
% 58.13/9.57 ($true = bG1501($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46757])).
% 58.13/9.57 tff(f46757,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1501(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38050])).
% 58.13/9.57 tff(f82705,plain,(
% 58.13/9.57 spl5880_871),
% 58.13/9.57 inference(avatar_split_clause,[],[f66938,f82702])).
% 58.13/9.57 tff(f82702,plain,(
% 58.13/9.57 spl5880_871 <=> ($true = bG1507($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_871])])).
% 58.13/9.57 tff(f66938,plain,(
% 58.13/9.57 ($true = bG1507($true))),
% 58.13/9.57 inference(equality_resolution,[],[f46746])).
% 58.13/9.57 tff(f46746,plain,(
% 58.13/9.57 ( ! [X0 : $o] : (($true = bG1507(X0)) | ($true != X0)) )),
% 58.13/9.57 inference(cnf_transformation,[],[f38047])).
% 58.13/9.57 tff(f82700,plain,(
% 58.13/9.57 spl5880_870),
% 58.13/9.57 inference(avatar_split_clause,[],[f66937,f82697])).
% 58.13/9.57 tff(f82697,plain,(
% 58.13/9.57 spl5880_870 <=> ($true = bG1508($true))),
% 58.13/9.57 introduced(avatar_definition,[new_symbols(naming,[spl5880_870])])).
% 58.13/9.58 tff(f66937,plain,(
% 58.13/9.58 ($true = bG1508($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46744])).
% 58.13/9.58 tff(f46744,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1508(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38046])).
% 58.13/9.58 tff(f82694,plain,(
% 58.13/9.58 spl5880_869),
% 58.13/9.58 inference(avatar_split_clause,[],[f66935,f82691])).
% 58.13/9.58 tff(f66935,plain,(
% 58.13/9.58 iG1509(one_one(nat),$true)),
% 58.13/9.58 inference(equality_resolution,[],[f66934])).
% 58.13/9.58 tff(f66934,plain,(
% 58.13/9.58 ( ! [X2 : nat] : (iG1509(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.58 inference(equality_resolution,[],[f46742])).
% 58.13/9.58 tff(f46742,plain,(
% 58.13/9.58 ( ! [X2 : nat,X3 : $o] : (iG1509(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38045])).
% 58.13/9.58 tff(f82689,plain,(
% 58.13/9.58 spl5880_868),
% 58.13/9.58 inference(avatar_split_clause,[],[f66928,f82686])).
% 58.13/9.58 tff(f82686,plain,(
% 58.13/9.58 spl5880_868 <=> ($true = bG1517($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_868])])).
% 58.13/9.58 tff(f66928,plain,(
% 58.13/9.58 ($true = bG1517($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46719])).
% 58.13/9.58 tff(f46719,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1517(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38038])).
% 58.13/9.58 tff(f82684,plain,(
% 58.13/9.58 spl5880_867),
% 58.13/9.58 inference(avatar_split_clause,[],[f66927,f82681])).
% 58.13/9.58 tff(f82681,plain,(
% 58.13/9.58 spl5880_867 <=> ($true = bG1518($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_867])])).
% 58.13/9.58 tff(f66927,plain,(
% 58.13/9.58 ($true = bG1518($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46717])).
% 58.13/9.58 tff(f46717,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1518(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38037])).
% 58.13/9.58 tff(f82679,plain,(
% 58.13/9.58 spl5880_866),
% 58.13/9.58 inference(avatar_split_clause,[],[f66926,f82676])).
% 58.13/9.58 tff(f82676,plain,(
% 58.13/9.58 spl5880_866 <=> ($true = bG1519($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_866])])).
% 58.13/9.58 tff(f66926,plain,(
% 58.13/9.58 ($true = bG1519($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46715])).
% 58.13/9.58 tff(f46715,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1519(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38036])).
% 58.13/9.58 tff(f82674,plain,(
% 58.13/9.58 spl5880_865),
% 58.13/9.58 inference(avatar_split_clause,[],[f66925,f82671])).
% 58.13/9.58 tff(f82671,plain,(
% 58.13/9.58 spl5880_865 <=> ($true = bG1520($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_865])])).
% 58.13/9.58 tff(f66925,plain,(
% 58.13/9.58 ($true = bG1520($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46713])).
% 58.13/9.58 tff(f46713,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1520(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38035])).
% 58.13/9.58 tff(f82669,plain,(
% 58.13/9.58 spl5880_864),
% 58.13/9.58 inference(avatar_split_clause,[],[f66922,f82666])).
% 58.13/9.58 tff(f82666,plain,(
% 58.13/9.58 spl5880_864 <=> ($true = bG1523($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_864])])).
% 58.13/9.58 tff(f66922,plain,(
% 58.13/9.58 ($true = bG1523($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46707])).
% 58.13/9.58 tff(f46707,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1523(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38034])).
% 58.13/9.58 tff(f82664,plain,(
% 58.13/9.58 spl5880_863),
% 58.13/9.58 inference(avatar_split_clause,[],[f66921,f82661])).
% 58.13/9.58 tff(f82661,plain,(
% 58.13/9.58 spl5880_863 <=> ($true = bG1524($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_863])])).
% 58.13/9.58 tff(f66921,plain,(
% 58.13/9.58 ($true = bG1524($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46705])).
% 58.13/9.58 tff(f46705,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1524(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38033])).
% 58.13/9.58 tff(f82659,plain,(
% 58.13/9.58 spl5880_862),
% 58.13/9.58 inference(avatar_split_clause,[],[f66918,f82656])).
% 58.13/9.58 tff(f82656,plain,(
% 58.13/9.58 spl5880_862 <=> ($true = bG1533($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_862])])).
% 58.13/9.58 tff(f66918,plain,(
% 58.13/9.58 ($true = bG1533($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46688])).
% 58.13/9.58 tff(f46688,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1533(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38032])).
% 58.13/9.58 tff(f82654,plain,(
% 58.13/9.58 spl5880_861),
% 58.13/9.58 inference(avatar_split_clause,[],[f66917,f82651])).
% 58.13/9.58 tff(f82651,plain,(
% 58.13/9.58 spl5880_861 <=> ($true = bG1534($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_861])])).
% 58.13/9.58 tff(f66917,plain,(
% 58.13/9.58 ($true = bG1534($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46686])).
% 58.13/9.58 tff(f46686,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1534(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38031])).
% 58.13/9.58 tff(f82649,plain,(
% 58.13/9.58 spl5880_860),
% 58.13/9.58 inference(avatar_split_clause,[],[f66916,f82646])).
% 58.13/9.58 tff(f82646,plain,(
% 58.13/9.58 spl5880_860 <=> ($true = bG1535($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_860])])).
% 58.13/9.58 tff(f66916,plain,(
% 58.13/9.58 ($true = bG1535($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46684])).
% 58.13/9.58 tff(f46684,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1535(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38030])).
% 58.13/9.58 tff(f82644,plain,(
% 58.13/9.58 spl5880_859),
% 58.13/9.58 inference(avatar_split_clause,[],[f66915,f82641])).
% 58.13/9.58 tff(f82641,plain,(
% 58.13/9.58 spl5880_859 <=> ($true = bG1536($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_859])])).
% 58.13/9.58 tff(f66915,plain,(
% 58.13/9.58 ($true = bG1536($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46682])).
% 58.13/9.58 tff(f46682,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1536(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38029])).
% 58.13/9.58 tff(f82638,plain,(
% 58.13/9.58 spl5880_858),
% 58.13/9.58 inference(avatar_split_clause,[],[f66913,f82635])).
% 58.13/9.58 tff(f66913,plain,(
% 58.13/9.58 iG1537(one_one(nat),$true)),
% 58.13/9.58 inference(equality_resolution,[],[f66912])).
% 58.13/9.58 tff(f66912,plain,(
% 58.13/9.58 ( ! [X2 : nat] : (iG1537(X2,$true) | one_one(nat) != X2) )),
% 58.13/9.58 inference(equality_resolution,[],[f46680])).
% 58.13/9.58 tff(f46680,plain,(
% 58.13/9.58 ( ! [X2 : nat,X3 : $o] : (iG1537(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38028])).
% 58.13/9.58 tff(f82633,plain,(
% 58.13/9.58 spl5880_857),
% 58.13/9.58 inference(avatar_split_clause,[],[f66908,f82630])).
% 58.13/9.58 tff(f82630,plain,(
% 58.13/9.58 spl5880_857 <=> ($true = bG1539($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_857])])).
% 58.13/9.58 tff(f66908,plain,(
% 58.13/9.58 ($true = bG1539($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46673])).
% 58.13/9.58 tff(f46673,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1539(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38026])).
% 58.13/9.58 tff(f82628,plain,(
% 58.13/9.58 spl5880_856),
% 58.13/9.58 inference(avatar_split_clause,[],[f66907,f82625])).
% 58.13/9.58 tff(f82625,plain,(
% 58.13/9.58 spl5880_856 <=> ($true = bG1540($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_856])])).
% 58.13/9.58 tff(f66907,plain,(
% 58.13/9.58 ($true = bG1540($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46671])).
% 58.13/9.58 tff(f46671,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1540(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38025])).
% 58.13/9.58 tff(f82623,plain,(
% 58.13/9.58 spl5880_855),
% 58.13/9.58 inference(avatar_split_clause,[],[f66904,f82620])).
% 58.13/9.58 tff(f82620,plain,(
% 58.13/9.58 spl5880_855 <=> ($true = bG1543($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_855])])).
% 58.13/9.58 tff(f66904,plain,(
% 58.13/9.58 ($true = bG1543($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46665])).
% 58.13/9.58 tff(f46665,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1543(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38024])).
% 58.13/9.58 tff(f82618,plain,(
% 58.13/9.58 spl5880_854),
% 58.13/9.58 inference(avatar_split_clause,[],[f66903,f82615])).
% 58.13/9.58 tff(f82615,plain,(
% 58.13/9.58 spl5880_854 <=> ($true = bG1544($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_854])])).
% 58.13/9.58 tff(f66903,plain,(
% 58.13/9.58 ($true = bG1544($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46663])).
% 58.13/9.58 tff(f46663,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1544(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38023])).
% 58.13/9.58 tff(f82613,plain,(
% 58.13/9.58 spl5880_853),
% 58.13/9.58 inference(avatar_split_clause,[],[f66893,f82610])).
% 58.13/9.58 tff(f82610,plain,(
% 58.13/9.58 spl5880_853 <=> ($true = bG1566($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_853])])).
% 58.13/9.58 tff(f66893,plain,(
% 58.13/9.58 ($true = bG1566($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46615])).
% 58.13/9.58 tff(f46615,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1566(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38018])).
% 58.13/9.58 tff(f82608,plain,(
% 58.13/9.58 spl5880_852),
% 58.13/9.58 inference(avatar_split_clause,[],[f66891,f82605])).
% 58.13/9.58 tff(f82605,plain,(
% 58.13/9.58 spl5880_852 <=> ($true = bG1571($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_852])])).
% 58.13/9.58 tff(f66891,plain,(
% 58.13/9.58 ($true = bG1571($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46599])).
% 58.13/9.58 tff(f46599,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1571(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38012])).
% 58.13/9.58 tff(f82603,plain,(
% 58.13/9.58 spl5880_851),
% 58.13/9.58 inference(avatar_split_clause,[],[f66890,f82600])).
% 58.13/9.58 tff(f82600,plain,(
% 58.13/9.58 spl5880_851 <=> ($true = bG1572($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_851])])).
% 58.13/9.58 tff(f66890,plain,(
% 58.13/9.58 ($true = bG1572($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46597])).
% 58.13/9.58 tff(f46597,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1572(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38011])).
% 58.13/9.58 tff(f82598,plain,(
% 58.13/9.58 spl5880_850),
% 58.13/9.58 inference(avatar_split_clause,[],[f66889,f82595])).
% 58.13/9.58 tff(f82595,plain,(
% 58.13/9.58 spl5880_850 <=> ($true = bG1573($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_850])])).
% 58.13/9.58 tff(f66889,plain,(
% 58.13/9.58 ($true = bG1573($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46595])).
% 58.13/9.58 tff(f46595,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1573(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38010])).
% 58.13/9.58 tff(f82593,plain,(
% 58.13/9.58 spl5880_849),
% 58.13/9.58 inference(avatar_split_clause,[],[f66888,f82590])).
% 58.13/9.58 tff(f82590,plain,(
% 58.13/9.58 spl5880_849 <=> ($true = bG1574($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_849])])).
% 58.13/9.58 tff(f66888,plain,(
% 58.13/9.58 ($true = bG1574($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46593])).
% 58.13/9.58 tff(f46593,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1574(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f38009])).
% 58.13/9.58 tff(f82588,plain,(
% 58.13/9.58 spl5880_848),
% 58.13/9.58 inference(avatar_split_clause,[],[f66877,f82585])).
% 58.13/9.58 tff(f82585,plain,(
% 58.13/9.58 spl5880_848 <=> ($true = bG1601($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_848])])).
% 58.13/9.58 tff(f66877,plain,(
% 58.13/9.58 ($true = bG1601($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46536])).
% 58.13/9.58 tff(f46536,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1601(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37998])).
% 58.13/9.58 tff(f82583,plain,(
% 58.13/9.58 spl5880_847),
% 58.13/9.58 inference(avatar_split_clause,[],[f66876,f82580])).
% 58.13/9.58 tff(f82580,plain,(
% 58.13/9.58 spl5880_847 <=> ($true = bG1602($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_847])])).
% 58.13/9.58 tff(f66876,plain,(
% 58.13/9.58 ($true = bG1602($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46534])).
% 58.13/9.58 tff(f46534,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1602(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37997])).
% 58.13/9.58 tff(f82578,plain,(
% 58.13/9.58 spl5880_846),
% 58.13/9.58 inference(avatar_split_clause,[],[f66838,f82575])).
% 58.13/9.58 tff(f82575,plain,(
% 58.13/9.58 spl5880_846 <=> ($true = bG1785($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_846])])).
% 58.13/9.58 tff(f66838,plain,(
% 58.13/9.58 ($true = bG1785($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46207])).
% 58.13/9.58 tff(f46207,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1785(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37981])).
% 58.13/9.58 tff(f82573,plain,(
% 58.13/9.58 spl5880_845),
% 58.13/9.58 inference(avatar_split_clause,[],[f66837,f82570])).
% 58.13/9.58 tff(f82570,plain,(
% 58.13/9.58 spl5880_845 <=> ($true = bG1786($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_845])])).
% 58.13/9.58 tff(f66837,plain,(
% 58.13/9.58 ($true = bG1786($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46205])).
% 58.13/9.58 tff(f46205,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1786(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37980])).
% 58.13/9.58 tff(f82568,plain,(
% 58.13/9.58 spl5880_844),
% 58.13/9.58 inference(avatar_split_clause,[],[f66836,f82565])).
% 58.13/9.58 tff(f82565,plain,(
% 58.13/9.58 spl5880_844 <=> ($true = bG1787($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_844])])).
% 58.13/9.58 tff(f66836,plain,(
% 58.13/9.58 ($true = bG1787($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46203])).
% 58.13/9.58 tff(f46203,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1787(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37979])).
% 58.13/9.58 tff(f82563,plain,(
% 58.13/9.58 spl5880_843),
% 58.13/9.58 inference(avatar_split_clause,[],[f66835,f82560])).
% 58.13/9.58 tff(f82560,plain,(
% 58.13/9.58 spl5880_843 <=> ($true = bG1788($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_843])])).
% 58.13/9.58 tff(f66835,plain,(
% 58.13/9.58 ($true = bG1788($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46201])).
% 58.13/9.58 tff(f46201,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1788(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37978])).
% 58.13/9.58 tff(f82558,plain,(
% 58.13/9.58 spl5880_842),
% 58.13/9.58 inference(avatar_split_clause,[],[f66834,f82555])).
% 58.13/9.58 tff(f82555,plain,(
% 58.13/9.58 spl5880_842 <=> ($true = bG1789($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_842])])).
% 58.13/9.58 tff(f66834,plain,(
% 58.13/9.58 ($true = bG1789($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46199])).
% 58.13/9.58 tff(f46199,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1789(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37977])).
% 58.13/9.58 tff(f82553,plain,(
% 58.13/9.58 spl5880_841),
% 58.13/9.58 inference(avatar_split_clause,[],[f66833,f82550])).
% 58.13/9.58 tff(f82550,plain,(
% 58.13/9.58 spl5880_841 <=> ($true = bG1790($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_841])])).
% 58.13/9.58 tff(f66833,plain,(
% 58.13/9.58 ($true = bG1790($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46197])).
% 58.13/9.58 tff(f46197,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1790(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37976])).
% 58.13/9.58 tff(f82548,plain,(
% 58.13/9.58 spl5880_840),
% 58.13/9.58 inference(avatar_split_clause,[],[f66832,f82545])).
% 58.13/9.58 tff(f82545,plain,(
% 58.13/9.58 spl5880_840 <=> ($true = bG1791($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_840])])).
% 58.13/9.58 tff(f66832,plain,(
% 58.13/9.58 ($true = bG1791($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46195])).
% 58.13/9.58 tff(f46195,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1791(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37975])).
% 58.13/9.58 tff(f82543,plain,(
% 58.13/9.58 spl5880_839),
% 58.13/9.58 inference(avatar_split_clause,[],[f66831,f82540])).
% 58.13/9.58 tff(f82540,plain,(
% 58.13/9.58 spl5880_839 <=> ($true = bG1792($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_839])])).
% 58.13/9.58 tff(f66831,plain,(
% 58.13/9.58 ($true = bG1792($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46193])).
% 58.13/9.58 tff(f46193,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1792(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37974])).
% 58.13/9.58 tff(f82538,plain,(
% 58.13/9.58 spl5880_838),
% 58.13/9.58 inference(avatar_split_clause,[],[f66830,f82535])).
% 58.13/9.58 tff(f82535,plain,(
% 58.13/9.58 spl5880_838 <=> ($true = bG1793($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_838])])).
% 58.13/9.58 tff(f66830,plain,(
% 58.13/9.58 ($true = bG1793($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46191])).
% 58.13/9.58 tff(f46191,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1793(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37973])).
% 58.13/9.58 tff(f82533,plain,(
% 58.13/9.58 spl5880_837),
% 58.13/9.58 inference(avatar_split_clause,[],[f66829,f82530])).
% 58.13/9.58 tff(f82530,plain,(
% 58.13/9.58 spl5880_837 <=> ($true = bG1794($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_837])])).
% 58.13/9.58 tff(f66829,plain,(
% 58.13/9.58 ($true = bG1794($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46189])).
% 58.13/9.58 tff(f46189,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1794(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37972])).
% 58.13/9.58 tff(f82528,plain,(
% 58.13/9.58 spl5880_836),
% 58.13/9.58 inference(avatar_split_clause,[],[f66828,f82525])).
% 58.13/9.58 tff(f82525,plain,(
% 58.13/9.58 spl5880_836 <=> ($true = bG1795($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_836])])).
% 58.13/9.58 tff(f66828,plain,(
% 58.13/9.58 ($true = bG1795($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46187])).
% 58.13/9.58 tff(f46187,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1795(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37971])).
% 58.13/9.58 tff(f82523,plain,(
% 58.13/9.58 spl5880_835),
% 58.13/9.58 inference(avatar_split_clause,[],[f66827,f82520])).
% 58.13/9.58 tff(f82520,plain,(
% 58.13/9.58 spl5880_835 <=> ($true = bG1796($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_835])])).
% 58.13/9.58 tff(f66827,plain,(
% 58.13/9.58 ($true = bG1796($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46185])).
% 58.13/9.58 tff(f46185,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1796(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37970])).
% 58.13/9.58 tff(f82518,plain,(
% 58.13/9.58 spl5880_834),
% 58.13/9.58 inference(avatar_split_clause,[],[f66826,f82515])).
% 58.13/9.58 tff(f82515,plain,(
% 58.13/9.58 spl5880_834 <=> ($true = bG1797($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_834])])).
% 58.13/9.58 tff(f66826,plain,(
% 58.13/9.58 ($true = bG1797($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46183])).
% 58.13/9.58 tff(f46183,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1797(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37969])).
% 58.13/9.58 tff(f82513,plain,(
% 58.13/9.58 spl5880_833),
% 58.13/9.58 inference(avatar_split_clause,[],[f66825,f82510])).
% 58.13/9.58 tff(f82510,plain,(
% 58.13/9.58 spl5880_833 <=> ($true = bG1798($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_833])])).
% 58.13/9.58 tff(f66825,plain,(
% 58.13/9.58 ($true = bG1798($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46181])).
% 58.13/9.58 tff(f46181,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1798(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37968])).
% 58.13/9.58 tff(f82508,plain,(
% 58.13/9.58 spl5880_832),
% 58.13/9.58 inference(avatar_split_clause,[],[f66824,f82505])).
% 58.13/9.58 tff(f82505,plain,(
% 58.13/9.58 spl5880_832 <=> ($true = bG1799($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_832])])).
% 58.13/9.58 tff(f66824,plain,(
% 58.13/9.58 ($true = bG1799($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46179])).
% 58.13/9.58 tff(f46179,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1799(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37967])).
% 58.13/9.58 tff(f82503,plain,(
% 58.13/9.58 spl5880_831),
% 58.13/9.58 inference(avatar_split_clause,[],[f66823,f82500])).
% 58.13/9.58 tff(f82500,plain,(
% 58.13/9.58 spl5880_831 <=> ($true = bG1800($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_831])])).
% 58.13/9.58 tff(f66823,plain,(
% 58.13/9.58 ($true = bG1800($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46177])).
% 58.13/9.58 tff(f46177,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1800(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37966])).
% 58.13/9.58 tff(f82498,plain,(
% 58.13/9.58 spl5880_830),
% 58.13/9.58 inference(avatar_split_clause,[],[f66822,f82495])).
% 58.13/9.58 tff(f82495,plain,(
% 58.13/9.58 spl5880_830 <=> ($true = bG1801($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_830])])).
% 58.13/9.58 tff(f66822,plain,(
% 58.13/9.58 ($true = bG1801($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46175])).
% 58.13/9.58 tff(f46175,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1801(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37965])).
% 58.13/9.58 tff(f82493,plain,(
% 58.13/9.58 spl5880_829),
% 58.13/9.58 inference(avatar_split_clause,[],[f66821,f82490])).
% 58.13/9.58 tff(f82490,plain,(
% 58.13/9.58 spl5880_829 <=> ($true = bG1802($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_829])])).
% 58.13/9.58 tff(f66821,plain,(
% 58.13/9.58 ($true = bG1802($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46173])).
% 58.13/9.58 tff(f46173,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1802(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37964])).
% 58.13/9.58 tff(f82488,plain,(
% 58.13/9.58 spl5880_828),
% 58.13/9.58 inference(avatar_split_clause,[],[f66820,f82485])).
% 58.13/9.58 tff(f82485,plain,(
% 58.13/9.58 spl5880_828 <=> ($true = bG1803($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_828])])).
% 58.13/9.58 tff(f66820,plain,(
% 58.13/9.58 ($true = bG1803($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46171])).
% 58.13/9.58 tff(f46171,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1803(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37963])).
% 58.13/9.58 tff(f82483,plain,(
% 58.13/9.58 spl5880_827),
% 58.13/9.58 inference(avatar_split_clause,[],[f66819,f82480])).
% 58.13/9.58 tff(f82480,plain,(
% 58.13/9.58 spl5880_827 <=> ($true = bG1804($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_827])])).
% 58.13/9.58 tff(f66819,plain,(
% 58.13/9.58 ($true = bG1804($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46169])).
% 58.13/9.58 tff(f46169,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1804(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37962])).
% 58.13/9.58 tff(f82478,plain,(
% 58.13/9.58 spl5880_826),
% 58.13/9.58 inference(avatar_split_clause,[],[f66818,f82475])).
% 58.13/9.58 tff(f82475,plain,(
% 58.13/9.58 spl5880_826 <=> ($true = bG1805($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_826])])).
% 58.13/9.58 tff(f66818,plain,(
% 58.13/9.58 ($true = bG1805($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46167])).
% 58.13/9.58 tff(f46167,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1805(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37961])).
% 58.13/9.58 tff(f82473,plain,(
% 58.13/9.58 spl5880_825),
% 58.13/9.58 inference(avatar_split_clause,[],[f66817,f82470])).
% 58.13/9.58 tff(f82470,plain,(
% 58.13/9.58 spl5880_825 <=> ($true = bG1806($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_825])])).
% 58.13/9.58 tff(f66817,plain,(
% 58.13/9.58 ($true = bG1806($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46165])).
% 58.13/9.58 tff(f46165,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1806(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37960])).
% 58.13/9.58 tff(f82468,plain,(
% 58.13/9.58 spl5880_824),
% 58.13/9.58 inference(avatar_split_clause,[],[f66816,f82465])).
% 58.13/9.58 tff(f82465,plain,(
% 58.13/9.58 spl5880_824 <=> ($true = bG1807($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_824])])).
% 58.13/9.58 tff(f66816,plain,(
% 58.13/9.58 ($true = bG1807($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46163])).
% 58.13/9.58 tff(f46163,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1807(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37959])).
% 58.13/9.58 tff(f82463,plain,(
% 58.13/9.58 spl5880_823),
% 58.13/9.58 inference(avatar_split_clause,[],[f66815,f82460])).
% 58.13/9.58 tff(f82460,plain,(
% 58.13/9.58 spl5880_823 <=> ($true = bG1808($true))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_823])])).
% 58.13/9.58 tff(f66815,plain,(
% 58.13/9.58 ($true = bG1808($true))),
% 58.13/9.58 inference(equality_resolution,[],[f46161])).
% 58.13/9.58 tff(f46161,plain,(
% 58.13/9.58 ( ! [X0 : $o] : (($true = bG1808(X0)) | ($true != X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37958])).
% 58.13/9.58 tff(f82458,plain,(
% 58.13/9.58 spl5880_822),
% 58.13/9.58 inference(avatar_split_clause,[],[f56699,f82456])).
% 58.13/9.58 tff(f82456,plain,(
% 58.13/9.58 spl5880_822 <=> ! [X1 : $tType,X0 : $tType] : size(product_prod(X0,X1))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_822])])).
% 58.13/9.58 tff(f56699,plain,(
% 58.13/9.58 ( ! [X1 : $tType,X0 : $tType] : (size(product_prod(X0,X1))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f25252])).
% 58.13/9.58 tff(f25252,plain,(
% 58.13/9.58 ! [X0 : $tType,X1 : $tType] : size(product_prod(X0,X1))),
% 58.13/9.58 inference(rectify,[],[f9698])).
% 58.13/9.58 tff(f9698,axiom,(
% 58.13/9.58 ! [X463 : $tType,X464 : $tType] : size(product_prod(X463,X464))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Nat_Osize_488)).
% 58.13/9.58 tff(f82454,plain,(
% 58.13/9.58 spl5880_821),
% 58.13/9.58 inference(avatar_split_clause,[],[f56698,f82452])).
% 58.13/9.58 tff(f82452,plain,(
% 58.13/9.58 spl5880_821 <=> ! [X1 : $tType,X0 : $tType] : size(sum_sum(X0,X1))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_821])])).
% 58.13/9.58 tff(f56698,plain,(
% 58.13/9.58 ( ! [X1 : $tType,X0 : $tType] : (size(sum_sum(X0,X1))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f25251])).
% 58.13/9.58 tff(f25251,plain,(
% 58.13/9.58 ! [X0 : $tType,X1 : $tType] : size(sum_sum(X0,X1))),
% 58.13/9.58 inference(rectify,[],[f9551])).
% 58.13/9.58 tff(f9551,axiom,(
% 58.13/9.58 ! [X463 : $tType,X464 : $tType] : size(sum_sum(X463,X464))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Sum__Type_Osum___Nat_Osize_342)).
% 58.13/9.58 tff(f82450,plain,(
% 58.13/9.58 spl5880_820),
% 58.13/9.58 inference(avatar_split_clause,[],[f56697,f82448])).
% 58.13/9.58 tff(f82448,plain,(
% 58.13/9.58 spl5880_820 <=> ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_820])])).
% 58.13/9.58 tff(f56697,plain,(
% 58.13/9.58 ( ! [X0 : nat,X1 : nat] : (~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f25250])).
% 58.13/9.58 tff(f25250,plain,(
% 58.13/9.58 ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 58.13/9.58 inference(rectify,[],[f834])).
% 58.13/9.58 tff(f834,axiom,(
% 58.13/9.58 ! [X8 : nat,X9 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X8),X9)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_833_buildup__nothing__in__min__max)).
% 58.13/9.58 tff(f82446,plain,(
% 58.13/9.58 spl5880_819),
% 58.13/9.58 inference(avatar_split_clause,[],[f56696,f82444])).
% 58.13/9.58 tff(f82444,plain,(
% 58.13/9.58 spl5880_819 <=> ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_819])])).
% 58.13/9.58 tff(f56696,plain,(
% 58.13/9.58 ( ! [X0 : nat,X1 : nat] : (~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f25249])).
% 58.13/9.58 tff(f25249,plain,(
% 58.13/9.58 ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 58.13/9.58 inference(rectify,[],[f1565])).
% 58.13/9.58 tff(f1565,axiom,(
% 58.13/9.58 ! [X8 : nat,X9 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X8),X9)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1564_buildup__nothing__in__leaf)).
% 58.13/9.58 tff(f82442,plain,(
% 58.13/9.58 spl5880_818),
% 58.13/9.58 inference(avatar_split_clause,[],[f55640,f82440])).
% 58.13/9.58 tff(f55640,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1989(X0) | ~order(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37183])).
% 58.13/9.58 tff(f37183,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1989(X0) | ~order(X0))),
% 58.13/9.58 inference(definition_folding,[],[f32143,f37182,f37181])).
% 58.13/9.58 tff(f32143,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) <=> ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3))) | ~order(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f24927])).
% 58.13/9.58 tff(f24927,plain,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) <=> ((($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3))))),
% 58.13/9.58 inference(flattening,[],[f13538])).
% 58.13/9.58 tff(f13538,plain,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) <=> ((~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3))))),
% 58.13/9.58 inference(fool_elimination,[],[f13537])).
% 58.13/9.58 tff(f13537,plain,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X1,X2) = set_or1337092689740270186AtMost(X0,X3,X4) <=> ((~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | (X2 = X4 & X1 = X3))))),
% 58.13/9.58 inference(rectify,[],[f1708])).
% 58.13/9.58 tff(f1708,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X14 : X0,X13 : X0,X204 : X0,X205 : X0] : (set_or1337092689740270186AtMost(X0,X14,X13) = set_or1337092689740270186AtMost(X0,X204,X205) <=> ((~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X204),X205) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X14),X13)) | (X13 = X205 & X14 = X204))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1707_Icc__eq__Icc)).
% 58.13/9.58 tff(f82438,plain,(
% 58.13/9.58 spl5880_817),
% 58.13/9.58 inference(avatar_split_clause,[],[f55532,f82436])).
% 58.13/9.58 tff(f55532,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1986(X0) | ~order(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37178])).
% 58.13/9.58 tff(f37178,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1986(X0) | ~order(X0))),
% 58.13/9.58 inference(definition_folding,[],[f32071,f37177,f37176])).
% 58.13/9.58 tff(f37176,plain,(
% 58.13/9.58 ! [X1 : fun(nat,X0),X0 : $tType] : (sP1985(X0,X1) <=> (! [X2 : nat,X3 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3))) | ! [X4 : nat,X5 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1985])])).
% 58.13/9.58 tff(f32071,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> (! [X2 : nat,X3 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3))) | ! [X4 : nat,X5 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))))) | ~order(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f13429])).
% 58.13/9.58 tff(f13429,plain,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> (! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2)))) | ! [X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f13428])).
% 58.13/9.58 tff(f13428,plain,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> (! [X2 : nat,X3 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2))) | ! [X4 : nat,X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5))))))),
% 58.13/9.58 inference(rectify,[],[f4023])).
% 58.13/9.58 tff(f4023,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (order(X0) => ! [X160 : fun(nat,X0)] : (topological_monoseq(X0,X160) <=> (! [X165 : nat,X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X165),X193) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X160,X193)),aa(nat,X0,X160,X165))) | ! [X165 : nat,X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X165),X193) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(nat,X0,X160,X165)),aa(nat,X0,X160,X193))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4022_monoseq__def)).
% 58.13/9.58 tff(f82434,plain,(
% 58.13/9.58 spl5880_816),
% 58.13/9.58 inference(avatar_split_clause,[],[f55502,f82432])).
% 58.13/9.58 tff(f55502,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1984(X0) | ~ord(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37175])).
% 58.13/9.58 tff(f37175,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1984(X0) | ~ord(X0))),
% 58.13/9.58 inference(definition_folding,[],[f32054,f37174,f37173,f37172,f37171])).
% 58.13/9.58 tff(f37171,plain,(
% 58.13/9.58 ! [X1 : fun(list(X0),fun(list(X0),$o)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP1981(X0,X1,X3,X2) <=> ? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X1,X6),X7)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X5),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X5)) & aa(list(X0),list(X0),cons(X0,X5),X7) = X3 & aa(list(X0),list(X0),cons(X0,X4),X6) = X2))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1981])])).
% 58.13/9.58 tff(f37172,plain,(
% 58.13/9.58 ! [X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP1982(X0,X3,X2) <=> ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),X9)) & aa(list(X0),list(X0),cons(X0,X9),X11) = X3 & aa(list(X0),list(X0),cons(X0,X8),X10) = X2))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1982])])).
% 58.13/9.58 tff(f37174,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(list(X0),fun(list(X0),$o)),X2 : list(X0),X3 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X1),X2),X3)) <=> sP1983(X0,X2,X3,X1)) | ~sP1984(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1984])])).
% 58.13/9.58 tff(f32054,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(list(X0),fun(list(X0),$o)),X2 : list(X0),X3 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X1),X2),X3)) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X1,X6),X7)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X5),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X5)) & aa(list(X0),list(X0),cons(X0,X5),X7) = X3 & aa(list(X0),list(X0),cons(X0,X4),X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),X9)) & aa(list(X0),list(X0),cons(X0,X9),X11) = X3 & aa(list(X0),list(X0),cons(X0,X8),X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2))) | ~ord(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f24918])).
% 58.13/9.58 tff(f24918,plain,(
% 58.13/9.58 ! [X0 : $tType] : (ord(X0) => ! [X1 : fun(list(X0),fun(list(X0),$o)),X2 : list(X0),X3 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X1),X2),X3)) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X1,X6),X7)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X5),X4)) & ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X5)) & aa(list(X0),list(X0),cons(X0,X5),X7) = X3 & aa(list(X0),list(X0),cons(X0,X4),X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),X9)) & aa(list(X0),list(X0),cons(X0,X9),X11) = X3 & aa(list(X0),list(X0),cons(X0,X8),X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2))))),
% 58.13/9.58 inference(flattening,[],[f13405])).
% 58.13/9.58 tff(f13405,plain,(
% 58.13/9.58 ! [X0 : $tType] : (ord(X0) => ! [X1 : fun(list(X0),fun(list(X0),$o)),X2 : list(X0),X3 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X1),X2),X3)) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (($true = aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X1,X6),X7)) & ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X5),X4)) & ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X5)) & aa(list(X0),list(X0),cons(X0,X5),X7) = X3 & aa(list(X0),list(X0),cons(X0,X4),X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),X9)) & aa(list(X0),list(X0),cons(X0,X9),X11) = X3 & aa(list(X0),list(X0),cons(X0,X8),X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2))))),
% 58.13/9.58 inference(fool_elimination,[],[f13404])).
% 58.13/9.58 tff(f13404,plain,(
% 58.13/9.58 ! [X0 : $tType] : (ord(X0) => ! [X1 : fun(list(X0),fun(list(X0),$o)),X2 : list(X0),X3 : list(X0)] : (aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X1),X2),X3) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X1,X6),X7) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X5),X4) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X4),X5) & aa(list(X0),list(X0),cons(X0,X5),X7) = X3 & aa(list(X0),list(X0),cons(X0,X4),X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X8),X9) & aa(list(X0),list(X0),cons(X0,X9),X11) = X3 & aa(list(X0),list(X0),cons(X0,X8),X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X12),X13) = X3 & nil(X0) = X2))))),
% 58.13/9.58 inference(rectify,[],[f8774])).
% 58.13/9.58 tff(f8774,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (ord(X0) => ! [X105 : fun(list(X0),fun(list(X0),$o)),X448 : list(X0),X449 : list(X0)] : (aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),aa(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o)),aTP_Lamp_acg(fun(list(X0),fun(list(X0),$o)),fun(list(X0),fun(list(X0),$o))),X105),X448),X449) <=> (? [X65 : X0,X102 : X0,X129 : list(X0),X375 : list(X0)] : (aa(list(X0),$o,aa(list(X0),fun(list(X0),$o),X105,X129),X375) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X102),X65) & ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X65),X102) & aa(list(X0),list(X0),cons(X0,X102),X375) = X449 & aa(list(X0),list(X0),cons(X0,X65),X129) = X448) | ? [X65 : X0,X102 : X0,X129 : list(X0),X375 : list(X0)] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X65),X102) & aa(list(X0),list(X0),cons(X0,X102),X375) = X449 & aa(list(X0),list(X0),cons(X0,X65),X129) = X448) | ? [X102 : X0,X375 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X102),X375) = X449 & nil(X0) = X448))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8773_ATP_Olambda__593)).
% 58.13/9.58 tff(f82430,plain,(
% 58.13/9.58 spl5880_815),
% 58.13/9.58 inference(avatar_split_clause,[],[f55437,f82428])).
% 58.13/9.58 tff(f55437,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1980(X0) | ~preorder(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37170])).
% 58.13/9.58 tff(f37170,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1980(X0) | ~preorder(X0))),
% 58.13/9.58 inference(definition_folding,[],[f32022,f37169,f37168])).
% 58.13/9.58 tff(f37168,plain,(
% 58.13/9.58 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP1979(X0,X4,X3,X2,X1) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1979])])).
% 58.13/9.58 tff(f37169,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> sP1979(X0,X4,X3,X2,X1)) | ~sP1980(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1980])])).
% 58.13/9.58 tff(f32022,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))))) | ~preorder(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f24911])).
% 58.13/9.58 tff(f24911,plain,(
% 58.13/9.58 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))))))),
% 58.13/9.58 inference(flattening,[],[f13359])).
% 58.13/9.58 tff(f13359,plain,(
% 58.13/9.58 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) & (((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) | ~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f13358])).
% 58.13/9.58 tff(f13358,plain,(
% 58.13/9.58 ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4)) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4) & (((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X4) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X4) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) | ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1713])).
% 58.13/9.58 tff(f1713,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (preorder(X0) => ! [X11 : X0,X12 : X0,X17 : X0,X10 : X0] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X11,X12)),set_or1337092689740270186AtMost(X0,X17,X10)) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),X10) & (((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X10) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),X11)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X10) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),X11)) | ~aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1712_atLeastatMost__psubset__iff)).
% 58.13/9.58 tff(f82426,plain,(
% 58.13/9.58 spl5880_814),
% 58.13/9.58 inference(avatar_split_clause,[],[f55225,f82424])).
% 58.13/9.58 tff(f55225,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1978(X0) | ~linorder(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37167])).
% 58.13/9.58 tff(f37167,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1978(X0) | ~linorder(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31838,f37166,f37165])).
% 58.13/9.58 tff(f37165,plain,(
% 58.13/9.58 ! [X1 : X0,X4 : X0,X0 : $tType,X3 : X0,X2 : X0] : (sP1977(X0,X1,X4,X3,X2) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1977])])).
% 58.13/9.58 tff(f37166,plain,(
% 58.13/9.58 ! [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)) <=> sP1977(X0,X1,X4,X3,X2)) | ~sP1978(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1978])])).
% 58.13/9.58 tff(f31838,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))) | ~linorder(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f13079])).
% 58.13/9.58 tff(f13079,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X1)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.13/9.58 inference(fool_elimination,[],[f13078])).
% 58.13/9.58 tff(f13078,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X1) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))),
% 58.13/9.58 inference(rectify,[],[f6731])).
% 58.13/9.58 tff(f6731,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X11 : X0,X12 : X0,X17 : X0,X10 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X11,X12)),set_or3652927894154168847AtMost(X0,X17,X10)) <=> (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X10),X11) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X17) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X10),X17) | aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6730_Ioc__disjoint)).
% 58.13/9.58 tff(f82422,plain,(
% 58.13/9.58 spl5880_813),
% 58.13/9.58 inference(avatar_split_clause,[],[f55217,f82420])).
% 58.13/9.58 tff(f55217,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1976(X0) | ~linorder(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37164])).
% 58.13/9.58 tff(f37164,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1976(X0) | ~linorder(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31837,f37163,f37162])).
% 58.13/9.58 tff(f31837,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) <=> ((X2 = X4 & X1 = X3) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))) | ~linorder(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f13077])).
% 58.13/9.58 tff(f13077,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) <=> ((X2 = X4 & X1 = X3) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f13076])).
% 58.13/9.58 tff(f13076,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X1,X2) = set_or3652927894154168847AtMost(X0,X3,X4) <=> ((X2 = X4 & X1 = X3) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X4),X3) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.13/9.58 inference(rectify,[],[f6573])).
% 58.13/9.58 tff(f6573,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X11 : X0,X12 : X0,X17 : X0,X10 : X0] : (set_or3652927894154168847AtMost(X0,X11,X12) = set_or3652927894154168847AtMost(X0,X17,X10) <=> ((X10 = X12 & X11 = X17) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X10),X17) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6572_Ioc__inj)).
% 58.13/9.58 tff(f82418,plain,(
% 58.13/9.58 spl5880_812),
% 58.13/9.58 inference(avatar_split_clause,[],[f55059,f82416])).
% 58.13/9.58 tff(f55059,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1966(X0) | ~linorder(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37148])).
% 58.13/9.58 tff(f37148,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1966(X0) | ~linorder(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31746,f37147,f37146])).
% 58.13/9.58 tff(f31746,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> (! [X3 : X0] : (! [X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) | ~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))),
% 58.13/9.58 inference(ennf_transformation,[],[f12951])).
% 58.13/9.58 tff(f12951,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> (! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)) => ! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1))))),
% 58.13/9.58 inference(fool_elimination,[],[f12950])).
% 58.13/9.58 tff(f12950,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> (! [X3 : X0] : (member(X0,X3,aa(list(X0),set(X0),set2(X0),X1)) => ! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X4))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1))))),
% 58.13/9.58 inference(rectify,[],[f8044])).
% 58.13/9.58 tff(f8044,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linorder(X0) => ! [X64 : list(X0),X127 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X64,X127)) <=> (! [X65 : X0] : (member(X0,X65,aa(list(X0),set(X0),set2(X0),X64)) => ! [X210 : X0] : (member(X0,X210,aa(list(X0),set(X0),set2(X0),X127)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X65),X210))) & sorted_wrt(X0,ord_less_eq(X0),X127) & sorted_wrt(X0,ord_less_eq(X0),X64))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8043_sorted__append)).
% 58.13/9.58 tff(f82414,plain,(
% 58.13/9.58 spl5880_811),
% 58.13/9.58 inference(avatar_split_clause,[],[f54509,f82412])).
% 58.13/9.58 tff(f54509,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1964(X0) | ~zero_neq_one(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37145])).
% 58.13/9.58 tff(f37145,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1964(X0) | ~zero_neq_one(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31241,f37144,f37143])).
% 58.13/9.58 tff(f37144,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG509(X2)))) <=> sP1963(X0,X1,X2)) | ~sP1964(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1964])])).
% 58.13/9.58 tff(f31241,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG509(X2)))) <=> ((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2)))) | ~zero_neq_one(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f24585])).
% 58.13/9.58 tff(f24585,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG509(X2)))) <=> ~((($true != aa(X0,$o,X1,zero_zero(X0))) & ($true != X2)) | (($true != aa(X0,$o,X1,one_one(X0))) & ($true = X2)))))),
% 58.13/9.58 inference(flattening,[],[f12590])).
% 58.13/9.58 tff(f12590,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG509(X2)))) <=> ~((~($true = aa(X0,$o,X1,zero_zero(X0))) & ~($true = X2)) | (~($true = aa(X0,$o,X1,one_one(X0))) & ($true = X2)))))),
% 58.13/9.58 inference(fool_elimination,[],[f12588,f12589])).
% 58.13/9.58 tff(f12588,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),X2)) <=> ~((~aa(X0,$o,X1,zero_zero(X0)) & ~X2) | (~aa(X0,$o,X1,one_one(X0)) & X2))))),
% 58.13/9.58 inference(rectify,[],[f2284])).
% 58.13/9.58 tff(f2284,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X26 : fun(X0,$o),X83 : $o] : (aa(X0,$o,X26,aa($o,X0,zero_neq_one_of_bool(X0),X83)) <=> ~((~aa(X0,$o,X26,zero_zero(X0)) & ~X83) | (~aa(X0,$o,X26,one_one(X0)) & X83))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2283_split__of__bool__asm)).
% 58.13/9.58 tff(f82410,plain,(
% 58.13/9.58 spl5880_810),
% 58.13/9.58 inference(avatar_split_clause,[],[f54500,f82408])).
% 58.13/9.58 tff(f54500,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1962(X0) | ~zero_neq_one(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37142])).
% 58.13/9.58 tff(f37142,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1962(X0) | ~zero_neq_one(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31240,f37141,f37140])).
% 58.13/9.58 tff(f37141,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG508(X2)))) <=> sP1961(X0,X1,X2)) | ~sP1962(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1962])])).
% 58.13/9.58 tff(f31240,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG508(X2)))) <=> ((($true = aa(X0,$o,X1,zero_zero(X0))) | ($true = X2)) & (($true = aa(X0,$o,X1,one_one(X0))) | ($true != X2)))) | ~zero_neq_one(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f24584])).
% 58.13/9.58 tff(f24584,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG508(X2)))) <=> ((($true != X2) => ($true = aa(X0,$o,X1,zero_zero(X0)))) & (($true = X2) => ($true = aa(X0,$o,X1,one_one(X0)))))))),
% 58.13/9.58 inference(flattening,[],[f12587])).
% 58.13/9.58 tff(f12587,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (($true = aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),bG508(X2)))) <=> ((~($true = X2) => ($true = aa(X0,$o,X1,zero_zero(X0)))) & (($true = X2) => ($true = aa(X0,$o,X1,one_one(X0)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f12585,f12586])).
% 58.13/9.58 tff(f12585,plain,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,$o),X2 : $o] : (aa(X0,$o,X1,aa($o,X0,zero_neq_one_of_bool(X0),X2)) <=> ((~X2 => aa(X0,$o,X1,zero_zero(X0))) & (X2 => aa(X0,$o,X1,one_one(X0))))))),
% 58.13/9.58 inference(rectify,[],[f2285])).
% 58.13/9.58 tff(f2285,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (zero_neq_one(X0) => ! [X26 : fun(X0,$o),X83 : $o] : (aa(X0,$o,X26,aa($o,X0,zero_neq_one_of_bool(X0),X83)) <=> ((~X83 => aa(X0,$o,X26,zero_zero(X0))) & (X83 => aa(X0,$o,X26,one_one(X0))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2284_split__of__bool)).
% 58.13/9.58 tff(f82406,plain,(
% 58.13/9.58 spl5880_809),
% 58.13/9.58 inference(avatar_split_clause,[],[f54414,f82404])).
% 58.13/9.58 tff(f54414,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1959(X0) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37137])).
% 58.13/9.58 tff(f37137,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1959(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31173,f37136,f37135])).
% 58.13/9.58 tff(f31173,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : (? [X4 : nat] : ! [X5 : nat] : (member(X0,aa(nat,X0,X1,X5),X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) | ~member(X0,X2,X3) | ~topolo1002775350975398744n_open(X0,X3))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(flattening,[],[f31172])).
% 58.13/9.58 tff(f31172,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : ((? [X4 : nat] : ! [X5 : nat] : (member(X0,aa(nat,X0,X1,X5),X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) | ~member(X0,X2,X3)) | ~topolo1002775350975398744n_open(X0,X3))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f12554])).
% 58.13/9.58 tff(f12554,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : (topolo1002775350975398744n_open(X0,X3) => (member(X0,X2,X3) => ? [X4 : nat] : ! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5)) => member(X0,aa(nat,X0,X1,X5),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f12553])).
% 58.13/9.58 tff(f12553,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : (topolo1002775350975398744n_open(X0,X3) => (member(X0,X2,X3) => ? [X4 : nat] : ! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5) => member(X0,aa(nat,X0,X1,X5),X3))))))),
% 58.13/9.58 inference(rectify,[],[f6362])).
% 58.13/9.58 tff(f6362,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X30 : fun(nat,X0),X349 : X0] : (filterlim(nat,X0,X30,topolo7230453075368039082e_nhds(X0,X349),at_top(nat)) <=> ! [X350 : set(X0)] : (topolo1002775350975398744n_open(X0,X350) => (member(X0,X349,X350) => ? [X251 : nat] : ! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X251),X193) => member(X0,aa(nat,X0,X30,X193),X350))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6361_lim__explicit)).
% 58.13/9.58 tff(f82402,plain,(
% 58.13/9.58 spl5880_808),
% 58.13/9.58 inference(avatar_split_clause,[],[f54380,f82400])).
% 58.13/9.58 tff(f54380,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1955(X0) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37130])).
% 58.13/9.58 tff(f37130,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1955(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31148,f37129,f37128])).
% 58.13/9.58 tff(f31148,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> ! [X2 : X0] : (? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3)) | ~member(X0,X2,X1))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f12544])).
% 58.13/9.58 tff(f12544,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> ! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1)) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3)))))),
% 58.13/9.58 inference(fool_elimination,[],[f12543])).
% 58.13/9.58 tff(f12543,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> ! [X2 : X0] : (member(X0,X2,X1) => ? [X3 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X3),X1) & member(X0,X2,X3) & topolo1002775350975398744n_open(X0,X3)))))),
% 58.13/9.58 inference(rectify,[],[f6358])).
% 58.13/9.58 tff(f6358,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X93 : set(X0)] : (topolo1002775350975398744n_open(X0,X93) <=> ! [X65 : X0] : (member(X0,X65,X93) => ? [X347 : set(X0)] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X347),X93) & member(X0,X65,X347) & topolo1002775350975398744n_open(X0,X347)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6357_open__subopen)).
% 58.13/9.58 tff(f82398,plain,(
% 58.13/9.58 spl5880_807),
% 58.13/9.58 inference(avatar_split_clause,[],[f54372,f82396])).
% 58.13/9.58 tff(f54372,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1953(X0) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37127])).
% 58.13/9.58 tff(f37127,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1953(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31147,f37126,f37125,f37124])).
% 58.13/9.58 tff(f31147,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2)) | ? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & member(set(X0),X3,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(flattening,[],[f31146])).
% 58.13/9.58 tff(f31146,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : ((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2)) | ? [X4 : set(set(X0))] : ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & finite_finite(set(X0),X4)) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)))) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & member(set(X0),X3,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f12542])).
% 58.13/9.58 tff(f12542,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo7761053866217962861closed(X0,X3)) => (! [X4 : set(set(X0))] : (($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)) => (finite_finite(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))))))),
% 58.13/9.58 inference(fool_elimination,[],[f12541])).
% 58.13/9.58 tff(f12541,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo7761053866217962861closed(X0,X3)) => (! [X4 : set(set(X0))] : (aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2) => (finite_finite(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))))))),
% 58.13/9.58 inference(rectify,[],[f6933])).
% 58.13/9.58 tff(f6933,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X301 : set(X0)] : (topolo2193935891317330818ompact(X0,X301) <=> ! [X397 : set(set(X0))] : (! [X65 : set(X0)] : (member(set(X0),X65,X397) => topolo7761053866217962861closed(X0,X65)) => (! [X274 : set(set(X0))] : (aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X274),X397) => (finite_finite(set(X0),X274) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X301),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X274)))) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X301),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X397))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6932_compact__fip)).
% 58.13/9.58 tff(f82394,plain,(
% 58.13/9.58 spl5880_806),
% 58.13/9.58 inference(avatar_split_clause,[],[f54360,f82392])).
% 58.13/9.58 tff(f54360,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1950(X0) | ~topolo4958980785337419405_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37123])).
% 58.13/9.58 tff(f37123,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1950(X0) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f31145,f37122,f37121,f37120])).
% 58.13/9.58 tff(f31145,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | ($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) & member(set(X0),X3,X2)))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(flattening,[],[f31144])).
% 58.13/9.58 tff(f31144,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))) | (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),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) & member(set(X0),X3,X2))))) | ~topolo4958980785337419405_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f12540])).
% 58.13/9.58 tff(f12540,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : ((($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) & ! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo1002775350975398744n_open(X0,X3))) => ? [X4 : set(set(X0))] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & finite_finite(set(X0),X4) & ($true = aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f12539])).
% 58.13/9.58 tff(f12539,plain,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : ((aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2)) & ! [X3 : set(X0)] : (member(set(X0),X3,X2) => topolo1002775350975398744n_open(X0,X3))) => ? [X4 : set(set(X0))] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4)) & finite_finite(set(X0),X4) & aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X4),X2)))))),
% 58.13/9.58 inference(rectify,[],[f6749])).
% 58.13/9.58 tff(f6749,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X93 : set(X0)] : (topolo2193935891317330818ompact(X0,X93) <=> ! [X369 : set(set(X0))] : ((aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X93),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X369)) & ! [X65 : set(X0)] : (member(set(X0),X65,X369) => topolo1002775350975398744n_open(X0,X65))) => ? [X370 : set(set(X0))] : (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X93),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X370)) & finite_finite(set(X0),X370) & aa(set(set(X0)),$o,aa(set(set(X0)),fun(set(set(X0)),$o),ord_less_eq(set(set(X0))),X370),X369)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6748_compact__eq__Heine__Borel)).
% 58.13/9.58 tff(f82390,plain,(
% 58.13/9.58 spl5880_805),
% 58.13/9.58 inference(avatar_split_clause,[],[f53451,f82388])).
% 58.13/9.58 tff(f53451,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1942(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37109])).
% 58.13/9.58 tff(f37109,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1942(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30329,f37108,f37107])).
% 58.13/9.58 tff(f37108,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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)))) <=> sP1941(X0,X1,X2)) | ~sP1942(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1942])])).
% 58.13/9.58 tff(f30329,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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)))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~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 & 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))),
% 58.13/9.58 inference(ennf_transformation,[],[f11890])).
% 58.13/9.58 tff(f11890,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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)))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~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 & 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))))),
% 58.13/9.58 inference(fool_elimination,[],[f11889])).
% 58.13/9.58 tff(f11889,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : num] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2))) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) & ~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 & 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))))),
% 58.13/9.58 inference(rectify,[],[f1939])).
% 58.13/9.58 tff(f1939,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0,X20 : num] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X11),aa(num,nat,numeral_numeral(nat),X20))) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X20))) | (zero_zero(X0) != X11 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X20))) | aa(num,nat,numeral_numeral(nat),X20) = zero_zero(nat))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1938_zero__less__power__eq__numeral)).
% 58.13/9.58 tff(f82386,plain,(
% 58.13/9.58 spl5880_804),
% 58.13/9.58 inference(avatar_split_clause,[],[f53425,f82384])).
% 58.13/9.58 tff(f53425,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1939(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37104])).
% 58.13/9.58 tff(f37104,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1939(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30325,f37103,f37102])).
% 58.13/9.58 tff(f37103,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> sP1938(X0,X1,X2)) | ~sP1939(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1939])])).
% 58.13/9.58 tff(f30325,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2)) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11882])).
% 58.13/9.58 tff(f11882,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : nat] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2)))),
% 58.13/9.58 inference(fool_elimination,[],[f11881])).
% 58.13/9.58 tff(f11881,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : nat] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | (zero_zero(X0) != X1 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) | zero_zero(nat) = X2)))),
% 58.13/9.58 inference(rectify,[],[f2211])).
% 58.13/9.58 tff(f2211,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0,X8 : nat] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X11),X8)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X8)) | (zero_zero(X0) != X11 & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X8)) | zero_zero(nat) = X8)))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2210_zero__less__power__eq)).
% 58.13/9.58 tff(f82382,plain,(
% 58.13/9.58 spl5880_803),
% 58.13/9.58 inference(avatar_split_clause,[],[f53415,f82380])).
% 58.13/9.58 tff(f53415,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1937(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37101])).
% 58.13/9.58 tff(f37101,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1937(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30324,f37100,f37099])).
% 58.13/9.58 tff(f37099,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1936(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1936])])).
% 58.13/9.58 tff(f37100,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> sP1936(X0,X2,X1)) | ~sP1937(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1937])])).
% 58.13/9.58 tff(f30324,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11880])).
% 58.13/9.58 tff(f11880,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11879])).
% 58.13/9.58 tff(f11879,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))))))),
% 58.13/9.58 inference(rectify,[],[f1414])).
% 58.13/9.58 tff(f1414,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11)),X17) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),one_one(X0))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1413_mult__le__cancel__left2)).
% 58.13/9.58 tff(f82378,plain,(
% 58.13/9.58 spl5880_802),
% 58.13/9.58 inference(avatar_split_clause,[],[f53406,f82376])).
% 58.13/9.58 tff(f53406,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1935(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37098])).
% 58.13/9.58 tff(f37098,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1935(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30323,f37097,f37096])).
% 58.13/9.58 tff(f37096,plain,(
% 58.13/9.58 ! [X1 : X0,X0 : $tType,X2 : X0] : (sP1934(X0,X1,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1934])])).
% 58.13/9.58 tff(f37097,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> sP1934(X0,X1,X2)) | ~sP1935(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1935])])).
% 58.13/9.58 tff(f30323,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11878])).
% 58.13/9.58 tff(f11878,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),one_one(X0)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11877])).
% 58.13/9.58 tff(f11877,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),one_one(X0))))))),
% 58.13/9.58 inference(rectify,[],[f1416])).
% 58.13/9.58 tff(f1416,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0,X17 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17)),X17) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),one_one(X0))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1415_mult__le__cancel__right2)).
% 58.13/9.58 tff(f82374,plain,(
% 58.13/9.58 spl5880_801),
% 58.13/9.58 inference(avatar_split_clause,[],[f53397,f82372])).
% 58.13/9.58 tff(f53397,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1933(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37095])).
% 58.13/9.58 tff(f37095,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1933(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30322,f37094,f37093])).
% 58.13/9.58 tff(f37093,plain,(
% 58.13/9.58 ! [X1 : X0,X0 : $tType,X2 : X0] : (sP1932(X0,X1,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1932])])).
% 58.13/9.58 tff(f37094,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> sP1932(X0,X1,X2)) | ~sP1933(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1933])])).
% 58.13/9.58 tff(f30322,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11876])).
% 58.13/9.58 tff(f11876,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),one_one(X0)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11875])).
% 58.13/9.58 tff(f11875,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),one_one(X0))))))),
% 58.13/9.58 inference(rectify,[],[f1420])).
% 58.13/9.58 tff(f1420,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X11 : X0,X17 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17)),X17) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),one_one(X0))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1419_mult__less__cancel__right2)).
% 58.13/9.58 tff(f82370,plain,(
% 58.13/9.58 spl5880_800),
% 58.13/9.58 inference(avatar_split_clause,[],[f53388,f82368])).
% 58.13/9.58 tff(f53388,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1931(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37092])).
% 58.13/9.58 tff(f37092,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1931(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30321,f37091,f37090])).
% 58.13/9.58 tff(f37090,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1930(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1930])])).
% 58.13/9.58 tff(f37091,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> sP1930(X0,X2,X1)) | ~sP1931(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1931])])).
% 58.13/9.58 tff(f30321,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11874])).
% 58.13/9.58 tff(f11874,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11873])).
% 58.13/9.58 tff(f11873,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))))))),
% 58.13/9.58 inference(rectify,[],[f1418])).
% 58.13/9.58 tff(f1418,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11)),X17) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),one_one(X0))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1417_mult__less__cancel__left2)).
% 58.13/9.58 tff(f82366,plain,(
% 58.13/9.58 spl5880_799),
% 58.13/9.58 inference(avatar_split_clause,[],[f53379,f82364])).
% 58.13/9.58 tff(f53379,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1929(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37089])).
% 58.13/9.58 tff(f37089,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1929(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30320,f37088,f37087])).
% 58.13/9.58 tff(f37087,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1928(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1928])])).
% 58.13/9.58 tff(f37088,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> sP1928(X0,X2,X1)) | ~sP1929(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1929])])).
% 58.13/9.58 tff(f30320,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11872])).
% 58.13/9.58 tff(f11872,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11871])).
% 58.13/9.58 tff(f11871,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1415])).
% 58.13/9.58 tff(f1415,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1414_mult__le__cancel__right1)).
% 58.13/9.58 tff(f82362,plain,(
% 58.13/9.58 spl5880_798),
% 58.13/9.58 inference(avatar_split_clause,[],[f53370,f82360])).
% 58.13/9.58 tff(f53370,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1927(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37086])).
% 58.13/9.58 tff(f37086,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1927(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30319,f37085,f37084])).
% 58.13/9.58 tff(f37084,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1926(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1926])])).
% 58.13/9.58 tff(f37085,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP1926(X0,X2,X1)) | ~sP1927(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1927])])).
% 58.13/9.58 tff(f30319,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11870])).
% 58.13/9.58 tff(f11870,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11869])).
% 58.13/9.58 tff(f11869,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1413])).
% 58.13/9.58 tff(f1413,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1412_mult__le__cancel__left1)).
% 58.13/9.58 tff(f82358,plain,(
% 58.13/9.58 spl5880_797),
% 58.13/9.58 inference(avatar_split_clause,[],[f53361,f82356])).
% 58.13/9.58 tff(f53361,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1925(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37083])).
% 58.13/9.58 tff(f37083,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1925(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30318,f37082,f37081])).
% 58.13/9.58 tff(f37081,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1924(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1924])])).
% 58.13/9.58 tff(f37082,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> sP1924(X0,X2,X1)) | ~sP1925(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1925])])).
% 58.13/9.58 tff(f30318,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11868])).
% 58.13/9.58 tff(f11868,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11867])).
% 58.13/9.58 tff(f11867,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1419])).
% 58.13/9.58 tff(f1419,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1418_mult__less__cancel__right1)).
% 58.13/9.58 tff(f82354,plain,(
% 58.13/9.58 spl5880_796),
% 58.13/9.58 inference(avatar_split_clause,[],[f53352,f82352])).
% 58.13/9.58 tff(f53352,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1923(X0) | ~linordered_idom(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37080])).
% 58.13/9.58 tff(f37080,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1923(X0) | ~linordered_idom(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30317,f37079,f37078])).
% 58.13/9.58 tff(f37078,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1922(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1922])])).
% 58.13/9.58 tff(f37079,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP1922(X0,X2,X1)) | ~sP1923(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1923])])).
% 58.13/9.58 tff(f30317,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11866])).
% 58.13/9.58 tff(f11866,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11865])).
% 58.13/9.58 tff(f11865,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1417])).
% 58.13/9.58 tff(f1417,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_idom(X0) => ! [X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),one_one(X0))) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1416_mult__less__cancel__left1)).
% 58.13/9.58 tff(f82350,plain,(
% 58.13/9.58 spl5880_795),
% 58.13/9.58 inference(avatar_split_clause,[],[f53052,f82348])).
% 58.13/9.58 tff(f53052,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1914(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37065])).
% 58.13/9.58 tff(f37065,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1914(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30069,f37064,f37063])).
% 58.13/9.58 tff(f37063,plain,(
% 58.13/9.58 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP1913(X0,X2,X3,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1913])])).
% 58.13/9.58 tff(f37064,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1913(X0,X2,X3,X1)) | ~sP1914(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1914])])).
% 58.13/9.58 tff(f30069,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11534])).
% 58.13/9.58 tff(f11534,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11533])).
% 58.13/9.58 tff(f11533,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1283])).
% 58.13/9.58 tff(f1283,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X17 : X0,X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1282_mult__le__cancel__left)).
% 58.13/9.58 tff(f82346,plain,(
% 58.13/9.58 spl5880_794),
% 58.13/9.58 inference(avatar_split_clause,[],[f53043,f82344])).
% 58.13/9.58 tff(f53043,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1912(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37062])).
% 58.13/9.58 tff(f37062,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1912(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30068,f37061,f37060])).
% 58.13/9.58 tff(f37060,plain,(
% 58.13/9.58 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP1911(X0,X1,X3,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1911])])).
% 58.13/9.58 tff(f37061,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1911(X0,X1,X3,X2)) | ~sP1912(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1912])])).
% 58.13/9.58 tff(f30068,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11532])).
% 58.13/9.58 tff(f11532,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11531])).
% 58.13/9.58 tff(f11531,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1284])).
% 58.13/9.58 tff(f1284,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1283_mult__le__cancel__right)).
% 58.13/9.58 tff(f82342,plain,(
% 58.13/9.58 spl5880_793),
% 58.13/9.58 inference(avatar_split_clause,[],[f53034,f82340])).
% 58.13/9.58 tff(f53034,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1910(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37059])).
% 58.13/9.58 tff(f37059,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1910(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30067,f37058,f37057])).
% 58.13/9.58 tff(f37057,plain,(
% 58.13/9.58 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP1909(X0,X2,X3,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1909])])).
% 58.13/9.58 tff(f37058,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1909(X0,X2,X3,X1)) | ~sP1910(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1910])])).
% 58.13/9.58 tff(f30067,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11530])).
% 58.13/9.58 tff(f11530,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11529])).
% 58.13/9.58 tff(f11529,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1190])).
% 58.13/9.58 tff(f1190,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X17 : X0,X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1189_mult__less__cancel__left__disj)).
% 58.13/9.58 tff(f82338,plain,(
% 58.13/9.58 spl5880_792),
% 58.13/9.58 inference(avatar_split_clause,[],[f53025,f82336])).
% 58.13/9.58 tff(f53025,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1908(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37056])).
% 58.13/9.58 tff(f37056,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1908(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30066,f37055,f37054])).
% 58.13/9.58 tff(f37054,plain,(
% 58.13/9.58 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP1907(X0,X1,X3,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1907])])).
% 58.13/9.58 tff(f37055,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1907(X0,X1,X3,X2)) | ~sP1908(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1908])])).
% 58.13/9.58 tff(f30066,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11528])).
% 58.13/9.58 tff(f11528,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11527])).
% 58.13/9.58 tff(f11527,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1193])).
% 58.13/9.58 tff(f1193,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1192_mult__less__cancel__right__disj)).
% 58.13/9.58 tff(f82334,plain,(
% 58.13/9.58 spl5880_791),
% 58.13/9.58 inference(avatar_split_clause,[],[f53016,f82332])).
% 58.13/9.58 tff(f53016,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1906(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37053])).
% 58.13/9.58 tff(f37053,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1906(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30065,f37052,f37051])).
% 58.13/9.58 tff(f37051,plain,(
% 58.13/9.58 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP1905(X0,X1,X3,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1905])])).
% 58.13/9.58 tff(f37052,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1905(X0,X1,X3,X2)) | ~sP1906(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1906])])).
% 58.13/9.58 tff(f30065,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11526])).
% 58.13/9.58 tff(f11526,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11525])).
% 58.13/9.58 tff(f11525,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1290])).
% 58.13/9.58 tff(f1290,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X17)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X12),X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1289_mult__less__cancel__right)).
% 58.13/9.58 tff(f82330,plain,(
% 58.13/9.58 spl5880_790),
% 58.13/9.58 inference(avatar_split_clause,[],[f53007,f82328])).
% 58.13/9.58 tff(f53007,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1904(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37050])).
% 58.13/9.58 tff(f37050,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1904(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30064,f37049,f37048])).
% 58.13/9.58 tff(f37048,plain,(
% 58.13/9.58 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP1903(X0,X2,X3,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1903])])).
% 58.13/9.58 tff(f37049,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> sP1903(X0,X2,X3,X1)) | ~sP1904(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1904])])).
% 58.13/9.58 tff(f30064,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11524])).
% 58.13/9.58 tff(f11524,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),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))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11523])).
% 58.13/9.58 tff(f11523,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1287])).
% 58.13/9.58 tff(f1287,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X17 : X0,X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X11)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X17),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1286_mult__less__cancel__left)).
% 58.13/9.58 tff(f82326,plain,(
% 58.13/9.58 spl5880_789),
% 58.13/9.58 inference(avatar_split_clause,[],[f52986,f82324])).
% 58.13/9.58 tff(f52986,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1902(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37047])).
% 58.13/9.58 tff(f37047,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1902(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30053,f37046,f37045])).
% 58.13/9.58 tff(f37045,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1901(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1901])])).
% 58.13/9.58 tff(f37046,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> sP1901(X0,X2,X1)) | ~sP1902(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1902])])).
% 58.13/9.58 tff(f30053,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11506])).
% 58.13/9.58 tff(f11506,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11505])).
% 58.13/9.58 tff(f11505,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1157])).
% 58.13/9.58 tff(f1157,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1156_mult__le__0__iff)).
% 58.13/9.58 tff(f82322,plain,(
% 58.13/9.58 spl5880_788),
% 58.13/9.58 inference(avatar_split_clause,[],[f52977,f82320])).
% 58.13/9.58 tff(f52977,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1900(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37044])).
% 58.13/9.58 tff(f37044,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1900(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30052,f37043,f37042])).
% 58.13/9.58 tff(f37042,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1899(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1899])])).
% 58.13/9.58 tff(f37043,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> sP1899(X0,X2,X1)) | ~sP1900(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1900])])).
% 58.13/9.58 tff(f30052,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11504])).
% 58.13/9.58 tff(f11504,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11503])).
% 58.13/9.58 tff(f11503,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1178])).
% 58.13/9.58 tff(f1178,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1177_mult__less__0__iff)).
% 58.13/9.58 tff(f82318,plain,(
% 58.13/9.58 spl5880_787),
% 58.13/9.58 inference(avatar_split_clause,[],[f52968,f82316])).
% 58.13/9.58 tff(f52968,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1898(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37041])).
% 58.13/9.58 tff(f37041,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1898(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30051,f37040,f37039])).
% 58.13/9.58 tff(f37039,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1897(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1897])])).
% 58.13/9.58 tff(f37040,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP1897(X0,X2,X1)) | ~sP1898(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1898])])).
% 58.13/9.58 tff(f30051,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11502])).
% 58.13/9.58 tff(f11502,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11501])).
% 58.13/9.58 tff(f11501,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1163])).
% 58.13/9.58 tff(f1163,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1162_zero__le__mult__iff)).
% 58.13/9.58 tff(f82314,plain,(
% 58.13/9.58 spl5880_786),
% 58.13/9.58 inference(avatar_split_clause,[],[f52959,f82312])).
% 58.13/9.58 tff(f52959,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1896(X0) | ~linord4710134922213307826strict(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37038])).
% 58.13/9.58 tff(f37038,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1896(X0) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(definition_folding,[],[f30050,f37037,f37036])).
% 58.13/9.58 tff(f37036,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1895(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1895])])).
% 58.13/9.58 tff(f37037,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP1895(X0,X2,X1)) | ~sP1896(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1896])])).
% 58.13/9.58 tff(f30050,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11500])).
% 58.13/9.58 tff(f11500,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f11499])).
% 58.13/9.58 tff(f11499,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1183])).
% 58.13/9.58 tff(f1183,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1182_zero__less__mult__iff)).
% 58.13/9.58 tff(f82310,plain,(
% 58.13/9.58 spl5880_785),
% 58.13/9.58 inference(avatar_split_clause,[],[f52186,f82308])).
% 58.13/9.58 tff(f52186,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1893(X0) | ~bit_semiring_bits(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37033])).
% 58.13/9.58 tff(f37033,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1893(X0) | ~bit_semiring_bits(X0))),
% 58.13/9.58 inference(definition_folding,[],[f29386,f37032,f37031])).
% 58.13/9.58 tff(f37031,plain,(
% 58.13/9.58 ! [X2 : nat,X3 : nat,X0 : $tType,X1 : X0] : (sP1892(X0,X2,X3,X1) <=> ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1892])])).
% 58.13/9.58 tff(f37032,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (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))) <=> sP1892(X0,X2,X3,X1)) | ~sP1893(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1893])])).
% 58.13/9.58 tff(f29386,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3))) <=> ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))) | ~bit_semiring_bits(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f11152])).
% 58.13/9.58 tff(f11152,plain,(
% 58.13/9.58 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat,X3 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3))) <=> ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),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) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))))),
% 58.13/9.58 inference(fool_elimination,[],[f11151])).
% 58.13/9.58 tff(f11151,plain,(
% 58.13/9.58 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat,X3 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3))) <=> ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3) | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 58.13/9.58 inference(rectify,[],[f2226])).
% 58.13/9.58 tff(f2226,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0,X15 : nat,X8 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X15)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X8))) <=> ((dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X11,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),X15)))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X15),X8)) | aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X8) = zero_zero(X0) | aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X8),X15))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2225_even__mult__exp__div__exp__iff)).
% 58.13/9.58 tff(f82306,plain,(
% 58.13/9.58 spl5880_784),
% 58.13/9.58 inference(avatar_split_clause,[],[f52157,f82304])).
% 58.13/9.58 tff(f52157,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1890(X0) | ~bit_semiring_bits(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37028])).
% 58.13/9.58 tff(f37028,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1890(X0) | ~bit_semiring_bits(X0))),
% 58.13/9.58 inference(definition_folding,[],[f29375,f37027,f37026])).
% 58.13/9.58 tff(f37026,plain,(
% 58.13/9.58 ! [X0 : $tType,X1 : X0,X2 : X0] : (sP1889(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))) & (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1889])])).
% 58.13/9.58 tff(f29375,plain,(
% 58.13/9.58 ! [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))) & (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2)))) | ~bit_semiring_bits(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f23649])).
% 58.13/9.58 tff(f23649,plain,(
% 58.13/9.58 ! [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))) & (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f2132])).
% 58.13/9.58 tff(f2132,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X11 : X0,X12 : X0] : (X11 = X12 <=> (divide_divide(X0,X11,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = divide_divide(X0,X12,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X11) <=> dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2131_bit__eq__rec)).
% 58.13/9.58 tff(f82302,plain,(
% 58.13/9.58 spl5880_783),
% 58.13/9.58 inference(avatar_split_clause,[],[f51851,f82300])).
% 58.13/9.58 tff(f51851,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1887(X0) | ~real_V822414075346904944vector(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37023])).
% 58.13/9.58 tff(f37023,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1887(X0) | ~real_V822414075346904944vector(X0))),
% 58.13/9.58 inference(definition_folding,[],[f29127,f37022,f37021])).
% 58.13/9.58 tff(f37021,plain,(
% 58.13/9.58 ! [X1 : fun(nat,X0),X0 : $tType] : (sP1886(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),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)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1886])])).
% 58.13/9.58 tff(f29127,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),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)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)))) | ~real_V822414075346904944vector(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10988])).
% 58.13/9.58 tff(f10988,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)) => ? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4)) => ! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5)) => ($true = aa(real,$o,aa(real,fun(real,$o),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)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10987])).
% 58.13/9.58 tff(f10987,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2) => ? [X3 : nat] : ! [X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4) => ! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5) => aa(real,$o,aa(real,fun(real,$o),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))))))),
% 58.13/9.58 inference(rectify,[],[f5171])).
% 58.13/9.58 tff(f5171,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X160 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X160) <=> ! [X284 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X284) => ? [X283 : nat] : ! [X165 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X283),X165) => ! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X283),X193) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X160,X165)),aa(nat,X0,X160,X193)))),X284))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5170_Cauchy__iff)).
% 58.13/9.58 tff(f82298,plain,(
% 58.13/9.58 spl5880_782),
% 58.13/9.58 inference(avatar_split_clause,[],[f51661,f82296])).
% 58.13/9.58 tff(f51661,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1885(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37020])).
% 58.13/9.58 tff(f37020,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1885(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28934,f37019,f37018])).
% 58.13/9.58 tff(f37018,plain,(
% 58.13/9.58 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP1884(X0,X1,X3,X2) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1884])])).
% 58.13/9.58 tff(f37019,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> sP1884(X0,X1,X3,X2)) | ~sP1885(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1885])])).
% 58.13/9.58 tff(f28934,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10849])).
% 58.13/9.58 tff(f10849,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10848])).
% 58.13/9.58 tff(f10848,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1314])).
% 58.13/9.58 tff(f1314,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X11,X17)),divide_divide(X0,X12,X17)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1313_divide__le__cancel)).
% 58.13/9.58 tff(f82294,plain,(
% 58.13/9.58 spl5880_781),
% 58.13/9.58 inference(avatar_split_clause,[],[f51652,f82292])).
% 58.13/9.58 tff(f51652,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1883(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37017])).
% 58.13/9.58 tff(f37017,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1883(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28933,f37016,f37015])).
% 58.13/9.58 tff(f37016,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> sP1882(X0,X2,X1,X3)) | ~sP1883(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1883])])).
% 58.13/9.58 tff(f28933,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> (zero_zero(X0) != X2 & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10847])).
% 58.13/9.58 tff(f10847,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> (zero_zero(X0) != X2 & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10846])).
% 58.13/9.58 tff(f10846,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2)) <=> (zero_zero(X0) != X2 & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),X1)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X3)))))),
% 58.13/9.58 inference(rectify,[],[f1218])).
% 58.13/9.58 tff(f1218,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X17 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X11,X17)),divide_divide(X0,X12,X17)) <=> (zero_zero(X0) != X17 & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X17),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1217_divide__less__cancel)).
% 58.13/9.58 tff(f82290,plain,(
% 58.13/9.58 spl5880_780),
% 58.13/9.58 inference(avatar_split_clause,[],[f51587,f82288])).
% 58.13/9.58 tff(f51587,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1881(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37014])).
% 58.13/9.58 tff(f37014,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1881(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28855,f37013,f37012])).
% 58.13/9.58 tff(f37012,plain,(
% 58.13/9.58 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP1880(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1880])])).
% 58.13/9.58 tff(f37013,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> sP1880(X0,X2,X1)) | ~sP1881(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1881])])).
% 58.13/9.58 tff(f28855,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10735])).
% 58.13/9.58 tff(f10735,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10734])).
% 58.13/9.58 tff(f10734,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)))))),
% 58.13/9.58 inference(rectify,[],[f4395])).
% 58.13/9.58 tff(f4395,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X11)),aa(X0,X0,inverse_inverse(X0),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4394_inverse__le__iff)).
% 58.13/9.58 tff(f82286,plain,(
% 58.13/9.58 spl5880_779),
% 58.13/9.58 inference(avatar_split_clause,[],[f51578,f82284])).
% 58.13/9.58 tff(f51578,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1879(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37011])).
% 58.13/9.58 tff(f37011,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1879(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28854,f37010,f37009])).
% 58.13/9.58 tff(f37009,plain,(
% 58.13/9.58 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP1878(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1878])])).
% 58.13/9.58 tff(f37010,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> sP1878(X0,X2,X1)) | ~sP1879(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1879])])).
% 58.13/9.58 tff(f28854,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) | ($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10733])).
% 58.13/9.58 tff(f10733,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10732])).
% 58.13/9.58 tff(f10732,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)))))),
% 58.13/9.58 inference(rectify,[],[f4394])).
% 58.13/9.58 tff(f4394,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X11)),aa(X0,X0,inverse_inverse(X0),X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)),zero_zero(X0)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12)) & (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X11),X12)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4393_inverse__less__iff)).
% 58.13/9.58 tff(f82282,plain,(
% 58.13/9.58 spl5880_778),
% 58.13/9.58 inference(avatar_split_clause,[],[f51561,f82280])).
% 58.13/9.58 tff(f51561,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1877(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37008])).
% 58.13/9.58 tff(f37008,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1877(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28849,f37007,f37006])).
% 58.13/9.58 tff(f37006,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1876(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1876])])).
% 58.13/9.58 tff(f37007,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> sP1876(X0,X2,X1)) | ~sP1877(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1877])])).
% 58.13/9.58 tff(f28849,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10723])).
% 58.13/9.58 tff(f10723,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10722])).
% 58.13/9.58 tff(f10722,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1211])).
% 58.13/9.58 tff(f1211,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X11,X12)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1210_divide__le__0__iff)).
% 58.13/9.58 tff(f82278,plain,(
% 58.13/9.58 spl5880_777),
% 58.13/9.58 inference(avatar_split_clause,[],[f51552,f82276])).
% 58.13/9.58 tff(f51552,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1875(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37005])).
% 58.13/9.58 tff(f37005,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1875(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28848,f37004,f37003])).
% 58.13/9.58 tff(f37004,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> sP1874(X0,X2,X1)) | ~sP1875(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1875])])).
% 58.13/9.58 tff(f28848,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10721])).
% 58.13/9.58 tff(f10721,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10720])).
% 58.13/9.58 tff(f10720,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0)) <=> (zero_zero(X0) = X2 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1432])).
% 58.13/9.58 tff(f1432,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,X12,X11)),one_one(X0)) <=> (zero_zero(X0) = X11 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1431_divide__le__eq__1)).
% 58.13/9.58 tff(f82274,plain,(
% 58.13/9.58 spl5880_776),
% 58.13/9.58 inference(avatar_split_clause,[],[f51542,f82272])).
% 58.13/9.58 tff(f51542,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1873(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f37002])).
% 58.13/9.58 tff(f37002,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1873(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28847,f37001,f37000])).
% 58.13/9.58 tff(f37000,plain,(
% 58.13/9.58 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP1872(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1872])])).
% 58.13/9.58 tff(f37001,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> sP1872(X0,X2,X1)) | ~sP1873(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1873])])).
% 58.13/9.58 tff(f28847,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10719])).
% 58.13/9.58 tff(f10719,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10718])).
% 58.13/9.58 tff(f10718,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1217])).
% 58.13/9.58 tff(f1217,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X11,X12)),zero_zero(X0)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1216_divide__less__0__iff)).
% 58.13/9.58 tff(f82270,plain,(
% 58.13/9.58 spl5880_775),
% 58.13/9.58 inference(avatar_split_clause,[],[f51533,f82268])).
% 58.13/9.58 tff(f51533,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1871(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36999])).
% 58.13/9.58 tff(f36999,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1871(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28846,f36998,f36997])).
% 58.13/9.58 tff(f36998,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> sP1870(X0,X2,X1)) | ~sP1871(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1871])])).
% 58.13/9.58 tff(f28846,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10717])).
% 58.13/9.58 tff(f10717,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10716])).
% 58.13/9.58 tff(f10716,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0)) <=> (zero_zero(X0) = X2 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1337])).
% 58.13/9.58 tff(f1337,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),divide_divide(X0,X12,X11)),one_one(X0)) <=> (zero_zero(X0) = X11 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1336_divide__less__eq__1)).
% 58.13/9.58 tff(f82266,plain,(
% 58.13/9.58 spl5880_774),
% 58.13/9.58 inference(avatar_split_clause,[],[f51523,f82264])).
% 58.13/9.58 tff(f51523,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1869(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36996])).
% 58.13/9.58 tff(f36996,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1869(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28845,f36995,f36994])).
% 58.13/9.58 tff(f36994,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1868(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1868])])).
% 58.13/9.58 tff(f36995,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> sP1868(X0,X2,X1)) | ~sP1869(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1869])])).
% 58.13/9.58 tff(f28845,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10715])).
% 58.13/9.58 tff(f10715,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10714])).
% 58.13/9.58 tff(f10714,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1209])).
% 58.13/9.58 tff(f1209,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X11,X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1208_zero__le__divide__iff)).
% 58.13/9.58 tff(f82262,plain,(
% 58.13/9.58 spl5880_773),
% 58.13/9.58 inference(avatar_split_clause,[],[f51514,f82260])).
% 58.13/9.58 tff(f51514,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1867(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36993])).
% 58.13/9.58 tff(f36993,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1867(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28844,f36992,f36991])).
% 58.13/9.58 tff(f36991,plain,(
% 58.13/9.58 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP1866(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1866])])).
% 58.13/9.58 tff(f36992,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> sP1866(X0,X2,X1)) | ~sP1867(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1867])])).
% 58.13/9.58 tff(f28844,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10713])).
% 58.13/9.58 tff(f10713,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10712])).
% 58.13/9.58 tff(f10712,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1433])).
% 58.13/9.58 tff(f1433,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X12,X11)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1432_le__divide__eq__1)).
% 58.13/9.58 tff(f82258,plain,(
% 58.13/9.58 spl5880_772),
% 58.13/9.58 inference(avatar_split_clause,[],[f51505,f82256])).
% 58.13/9.58 tff(f51505,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1865(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36990])).
% 58.13/9.58 tff(f36990,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1865(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28843,f36989,f36988])).
% 58.13/9.58 tff(f36988,plain,(
% 58.13/9.58 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1864(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1864])])).
% 58.13/9.58 tff(f36989,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> sP1864(X0,X2,X1)) | ~sP1865(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1865])])).
% 58.13/9.58 tff(f28843,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10711])).
% 58.13/9.58 tff(f10711,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10710])).
% 58.13/9.58 tff(f10710,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f1219])).
% 58.13/9.58 tff(f1219,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),divide_divide(X0,X11,X12)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),zero_zero(X0)) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1218_zero__less__divide__iff)).
% 58.13/9.58 tff(f82254,plain,(
% 58.13/9.58 spl5880_771),
% 58.13/9.58 inference(avatar_split_clause,[],[f51496,f82252])).
% 58.13/9.58 tff(f51496,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1863(X0) | ~linordered_field(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36987])).
% 58.13/9.58 tff(f36987,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1863(X0) | ~linordered_field(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28842,f36986,f36985])).
% 58.13/9.58 tff(f36985,plain,(
% 58.13/9.58 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP1862(X0,X2,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1862])])).
% 58.13/9.58 tff(f36986,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> sP1862(X0,X2,X1)) | ~sP1863(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1863])])).
% 58.13/9.58 tff(f28842,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10709])).
% 58.13/9.58 tff(f10709,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) & ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10708])).
% 58.13/9.58 tff(f10708,plain,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),X2) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)))))),
% 58.13/9.58 inference(rectify,[],[f1338])).
% 58.13/9.58 tff(f1338,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (linordered_field(X0) => ! [X12 : X0,X11 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),one_one(X0)),divide_divide(X0,X12,X11)) <=> ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X12),X11) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),zero_zero(X0))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X11),X12) & aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1337_less__divide__eq__1)).
% 58.13/9.58 tff(f82250,plain,(
% 58.13/9.58 spl5880_770),
% 58.13/9.58 inference(avatar_split_clause,[],[f51048,f82248])).
% 58.13/9.58 tff(f51048,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1861(X0) | ~real_V7819770556892013058_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36984])).
% 58.13/9.58 tff(f36984,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1861(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28407,f36983,f36982])).
% 58.13/9.58 tff(f36982,plain,(
% 58.13/9.58 ! [X1 : fun(X0,$o),X0 : $tType,X2 : X0,X3 : set(X0)] : (sP1860(X0,X1,X2,X3) <=> ? [X4 : real] : (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X5,X2)),X4)) | X2 = X5 | ~member(X0,X5,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X4))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1860])])).
% 58.13/9.58 tff(f28407,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) <=> ? [X4 : real] : (! [X5 : X0] : (($true = aa(X0,$o,X1,X5)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X5,X2)),X4)) | X2 = X5 | ~member(X0,X5,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X4)))) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(flattening,[],[f28406])).
% 58.13/9.58 tff(f28406,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) <=> ? [X4 : real] : (! [X5 : X0] : ((($true = aa(X0,$o,X1,X5)) | (($true != aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X5,X2)),X4)) | X2 = X5)) | ~member(X0,X5,X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X4)))) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10290])).
% 58.13/9.58 tff(f10290,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) <=> ? [X4 : real] : (! [X5 : X0] : (member(X0,X5,X3) => ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X5,X2)),X4)) & X2 != X5) => ($true = aa(X0,$o,X1,X5)))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X4)))))),
% 58.13/9.58 inference(fool_elimination,[],[f10289])).
% 58.13/9.58 tff(f10289,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(X0,$o),X2 : X0,X3 : set(X0)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,X3)) <=> ? [X4 : real] : (! [X5 : X0] : (member(X0,X5,X3) => ((aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X5,X2)),X4) & X2 != X5) => aa(X0,$o,X1,X5))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X4))))),
% 58.13/9.58 inference(rectify,[],[f6516])).
% 58.13/9.58 tff(f6516,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X26 : fun(X0,$o),X11 : X0,X93 : set(X0)] : (eventually(X0,X26,topolo174197925503356063within(X0,X11,X93)) <=> ? [X184 : real] : (! [X65 : X0] : (member(X0,X65,X93) => ((aa(real,$o,aa(real,fun(real,$o),ord_less_eq(real),real_V557655796197034286t_dist(X0,X65,X11)),X184) & X11 != X65) => aa(X0,$o,X26,X65))) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X184))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6515_eventually__at__le)).
% 58.13/9.58 tff(f82246,plain,(
% 58.13/9.58 spl5880_769),
% 58.13/9.58 inference(avatar_split_clause,[],[f51030,f82244])).
% 58.13/9.58 tff(f51030,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1859(X0) | ~real_V7819770556892013058_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36981])).
% 58.13/9.58 tff(f36981,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1859(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28399,f36980,f36979])).
% 58.13/9.58 tff(f36979,plain,(
% 58.13/9.58 ! [X2 : X0,X1 : fun(nat,X0),X0 : $tType] : (sP1858(X0,X2,X1) <=> ! [X3 : real] : (? [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X3))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1858])])).
% 58.13/9.58 tff(f28399,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : real] : (? [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X3)))) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10280])).
% 58.13/9.58 tff(f10280,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X3)) => ? [X4 : nat] : (! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5)) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3))) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X4))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10279])).
% 58.13/9.58 tff(f10279,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X3) => ? [X4 : nat] : (! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X4),X5) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X4)))))),
% 58.13/9.58 inference(rectify,[],[f6413])).
% 58.13/9.58 tff(f6413,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X160 : fun(nat,X0),X327 : X0] : (filterlim(nat,X0,X160,topolo7230453075368039082e_nhds(X0,X327),at_top(nat)) <=> ! [X271 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X271) => ? [X338 : nat] : (! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X338),X193) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X160,X193),X327)),X271)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X338)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6412_LIMSEQ__iff__nz)).
% 58.13/9.58 tff(f82242,plain,(
% 58.13/9.58 spl5880_768),
% 58.13/9.58 inference(avatar_split_clause,[],[f51007,f82240])).
% 58.13/9.58 tff(f51007,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1857(X0) | ~real_V7819770556892013058_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36978])).
% 58.13/9.58 tff(f36978,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1857(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28390,f36977,f36976])).
% 58.13/9.58 tff(f36976,plain,(
% 58.13/9.58 ! [X1 : fun(nat,X0),X0 : $tType] : (sP1856(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1856])])).
% 58.13/9.58 tff(f28390,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)))) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10270])).
% 58.13/9.58 tff(f10270,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)) => ? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4)) => ! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5)) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10269])).
% 58.13/9.58 tff(f10269,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2) => ? [X3 : nat] : ! [X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4) => ! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X5) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2))))))),
% 58.13/9.58 inference(rectify,[],[f6395])).
% 58.13/9.58 tff(f6395,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X160 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X160) <=> ! [X284 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X284) => ? [X283 : nat] : ! [X165 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X283),X165) => ! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X283),X193) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X160,X165),aa(nat,X0,X160,X193))),X284))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6394_Cauchy__def)).
% 58.13/9.58 tff(f82238,plain,(
% 58.13/9.58 spl5880_767),
% 58.13/9.58 inference(avatar_split_clause,[],[f50999,f82236])).
% 58.13/9.58 tff(f50999,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1855(X0) | ~real_V7819770556892013058_space(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36975])).
% 58.13/9.58 tff(f36975,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1855(X0) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28389,f36974,f36973])).
% 58.13/9.58 tff(f36973,plain,(
% 58.13/9.58 ! [X1 : fun(nat,X0),X0 : $tType] : (sP1854(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1854])])).
% 58.13/9.58 tff(f28389,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)))) | ~real_V7819770556892013058_space(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10268])).
% 58.13/9.58 tff(f10268,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2)) => ? [X3 : nat] : ! [X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4)) => ! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5)) => ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10267])).
% 58.13/9.58 tff(f10267,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X2) => ? [X3 : nat] : ! [X4 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X4) => ! [X5 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X5) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2))))))),
% 58.13/9.58 inference(rectify,[],[f6403])).
% 58.13/9.58 tff(f6403,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X30 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X30) <=> ! [X284 : real] : (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X284) => ? [X283 : nat] : ! [X165 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X283),X165) => ! [X193 : nat] : (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X165),X193) => aa(real,$o,aa(real,fun(real,$o),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X30,X165),aa(nat,X0,X30,X193))),X284))))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6402_Cauchy__altdef)).
% 58.13/9.58 tff(f82234,plain,(
% 58.13/9.58 spl5880_766),
% 58.13/9.58 inference(avatar_split_clause,[],[f50744,f82232])).
% 58.13/9.58 tff(f50744,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1853(X0) | ~real_V5355595471888546746vector(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36972])).
% 58.13/9.58 tff(f36972,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1853(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28220,f36971,f36970])).
% 58.13/9.58 tff(f36970,plain,(
% 58.13/9.58 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : real] : (sP1852(X0,X2,X3,X1) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1852])])).
% 58.13/9.58 tff(f36971,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> sP1852(X0,X2,X3,X1)) | ~sP1853(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1853])])).
% 58.13/9.58 tff(f28220,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> ((($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) & (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10140])).
% 58.13/9.58 tff(f10140,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2))) & (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)) => ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10139])).
% 58.13/9.58 tff(f10139,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0,X3 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3)) <=> ((aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X3),X2)) & (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)))))),
% 58.13/9.58 inference(rectify,[],[f4060])).
% 58.13/9.58 tff(f4060,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X17 : real,X11 : X0,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X17,X11)),real_V8093663219630862766scaleR(X0,X17,X12)) <=> ((aa(real,$o,aa(real,fun(real,$o),ord_less(real),X17),zero_zero(real)) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),X11)) & (aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X17) => aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X11),X12)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4059_scaleR__le__cancel__left)).
% 58.13/9.58 tff(f82230,plain,(
% 58.13/9.58 spl5880_765),
% 58.13/9.58 inference(avatar_split_clause,[],[f50713,f82228])).
% 58.13/9.58 tff(f50713,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1851(X0) | ~real_V5355595471888546746vector(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36969])).
% 58.13/9.58 tff(f36969,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1851(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28193,f36968,f36967])).
% 58.13/9.58 tff(f36968,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> sP1850(X0,X1,X2)) | ~sP1851(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1851])])).
% 58.13/9.58 tff(f28193,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10094])).
% 58.13/9.58 tff(f10094,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10093])).
% 58.13/9.58 tff(f10093,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0)) <=> (zero_zero(real) = X1 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f4068])).
% 58.13/9.58 tff(f4068,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X11 : real,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X11,X12)),zero_zero(X0)) <=> (zero_zero(real) = X11 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X11),zero_zero(real))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4067_scaleR__le__0__iff)).
% 58.13/9.58 tff(f82226,plain,(
% 58.13/9.58 spl5880_764),
% 58.13/9.58 inference(avatar_split_clause,[],[f50703,f82224])).
% 58.13/9.58 tff(f50703,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (sP1849(X0) | ~real_V5355595471888546746vector(X0)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f36966])).
% 58.13/9.58 tff(f36966,plain,(
% 58.13/9.58 ! [X0 : $tType] : (sP1849(X0) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(definition_folding,[],[f28192,f36965,f36964])).
% 58.13/9.58 tff(f36965,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> sP1848(X0,X1,X2)) | ~sP1849(X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1849])])).
% 58.13/9.58 tff(f28192,plain,(
% 58.13/9.58 ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 58.13/9.58 inference(ennf_transformation,[],[f10092])).
% 58.13/9.58 tff(f10092,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> (zero_zero(real) = X1 | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0))) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) | (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))))))),
% 58.13/9.58 inference(fool_elimination,[],[f10091])).
% 58.13/9.58 tff(f10091,plain,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2)) <=> (zero_zero(real) = X1 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))))),
% 58.13/9.58 inference(rectify,[],[f4067])).
% 58.13/9.58 tff(f4067,axiom,(
% 58.13/9.58 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X11 : real,X12 : X0] : (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X11,X12)) <=> (zero_zero(real) = X11 | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X12),zero_zero(X0)) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),X11),zero_zero(real))) | (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X12) & aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X11)))))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4066_zero__le__scaleR__iff)).
% 58.13/9.58 tff(f82222,plain,(
% 58.13/9.58 spl5880_763),
% 58.13/9.58 inference(avatar_split_clause,[],[f49999,f82219])).
% 58.13/9.58 tff(f82219,plain,(
% 58.13/9.58 spl5880_763 <=> order_mono(nat,nat,suc)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_763])])).
% 58.13/9.58 tff(f49999,plain,(
% 58.13/9.58 order_mono(nat,nat,suc)),
% 58.13/9.58 inference(cnf_transformation,[],[f6886])).
% 58.13/9.58 tff(f6886,axiom,(
% 58.13/9.58 order_mono(nat,nat,suc)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6885_mono__Suc)).
% 58.13/9.58 tff(f82217,plain,(
% 58.13/9.58 spl5880_762),
% 58.13/9.58 inference(avatar_split_clause,[],[f49998,f82214])).
% 58.13/9.58 tff(f82214,plain,(
% 58.13/9.58 spl5880_762 <=> one2 = bitM(one2)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_762])])).
% 58.13/9.58 tff(f49998,plain,(
% 58.13/9.58 one2 = bitM(one2)),
% 58.13/9.58 inference(cnf_transformation,[],[f1873])).
% 58.13/9.58 tff(f1873,axiom,(
% 58.13/9.58 one2 = bitM(one2)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1872_semiring__norm_I26_J)).
% 58.13/9.58 tff(f82212,plain,(
% 58.13/9.58 ~spl5880_761),
% 58.13/9.58 inference(avatar_split_clause,[],[f49996,f82209])).
% 58.13/9.58 tff(f82209,plain,(
% 58.13/9.58 spl5880_761 <=> one_one(complex) = imaginary_unit),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_761])])).
% 58.13/9.58 tff(f49996,plain,(
% 58.13/9.58 one_one(complex) != imaginary_unit),
% 58.13/9.58 inference(cnf_transformation,[],[f4155])).
% 58.13/9.58 tff(f4155,axiom,(
% 58.13/9.58 one_one(complex) != imaginary_unit),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4154_complex__i__not__one)).
% 58.13/9.58 tff(f82207,plain,(
% 58.13/9.58 spl5880_760),
% 58.13/9.58 inference(avatar_split_clause,[],[f68630,f82205])).
% 58.13/9.58 tff(f82205,plain,(
% 58.13/9.58 spl5880_760 <=> ! [X1 : vEBT_VEBT] : ~sP2355($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_760])])).
% 58.13/9.58 tff(f68630,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2355($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f61471])).
% 58.13/9.58 tff(f61471,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2355(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f43991])).
% 58.13/9.58 tff(f82203,plain,(
% 58.13/9.58 spl5880_759),
% 58.13/9.58 inference(avatar_split_clause,[],[f68608,f82201])).
% 58.13/9.58 tff(f82201,plain,(
% 58.13/9.58 spl5880_759 <=> ! [X1 : vEBT_VEBT] : ~sP2344($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_759])])).
% 58.13/9.58 tff(f68608,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2344($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f61423])).
% 58.13/9.58 tff(f61423,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2344(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f43935])).
% 58.13/9.58 tff(f82199,plain,(
% 58.13/9.58 spl5880_758),
% 58.13/9.58 inference(avatar_split_clause,[],[f68265,f82197])).
% 58.13/9.58 tff(f82197,plain,(
% 58.13/9.58 spl5880_758 <=> ! [X1 : vEBT_VEBT] : ~sP2085($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_758])])).
% 58.13/9.58 tff(f68265,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2085($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f58771])).
% 58.13/9.58 tff(f58771,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2085(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f42059])).
% 58.13/9.58 tff(f82195,plain,(
% 58.13/9.58 spl5880_757),
% 58.13/9.58 inference(avatar_split_clause,[],[f68264,f82193])).
% 58.13/9.58 tff(f82193,plain,(
% 58.13/9.58 spl5880_757 <=> ! [X1 : vEBT_VEBT] : ~sP2086($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_757])])).
% 58.13/9.58 tff(f68264,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2086($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f58768])).
% 58.13/9.58 tff(f58768,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2086(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f42055])).
% 58.13/9.58 tff(f82191,plain,(
% 58.13/9.58 spl5880_756),
% 58.13/9.58 inference(avatar_split_clause,[],[f68263,f82189])).
% 58.13/9.58 tff(f82189,plain,(
% 58.13/9.58 spl5880_756 <=> ! [X1 : vEBT_VEBT] : ~sP2088($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_756])])).
% 58.13/9.58 tff(f68263,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2088($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f58762])).
% 58.13/9.58 tff(f58762,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2088(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f42047])).
% 58.13/9.58 tff(f42047,plain,(
% 58.13/9.58 ! [X0 : $o,X1 : vEBT_VEBT] : ((($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3985(X0,X1)),sK3986(X0,X1),sK3987(X0,X1),sK3988(X0,X1)))) & ($true != X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3985(X0,X1)),sK3986(X0,X1),sK3987(X0,X1),sK3988(X0,X1)) = X1) | ~sP2088(X0,X1))),
% 58.13/9.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3985,sK3986,sK3987,sK3988])],[f42045,f42046])).
% 58.13/9.58 tff(f42046,plain,(
% 58.13/9.58 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5))) & ($true != X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X1) => (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3985(X0,X1)),sK3986(X0,X1),sK3987(X0,X1),sK3988(X0,X1)))) & ($true != X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK3985(X0,X1)),sK3986(X0,X1),sK3987(X0,X1),sK3988(X0,X1)) = X1))),
% 58.13/9.58 introduced(choice_axiom,[])).
% 58.13/9.58 tff(f42045,plain,(
% 58.13/9.58 ! [X0 : $o,X1 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5))) & ($true != X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X1) | ~sP2088(X0,X1))),
% 58.13/9.58 inference(rectify,[],[f42044])).
% 58.13/9.58 tff(f42044,plain,(
% 58.13/9.58 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X7 : product_prod(nat,nat),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10) = X0) | ~sP2088(X1,X0))),
% 58.13/9.58 inference(nnf_transformation,[],[f37341])).
% 58.13/9.58 tff(f37341,plain,(
% 58.13/9.58 ! [X1 : $o,X0 : vEBT_VEBT] : (? [X7 : product_prod(nat,nat),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (($true = aa(vEBT_VEBT,$o,accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel),vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10))) & ($true != X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10) = X0) | ~sP2088(X1,X0))),
% 58.13/9.58 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2088])])).
% 58.13/9.58 tff(f82187,plain,(
% 58.13/9.58 spl5880_755),
% 58.13/9.58 inference(avatar_split_clause,[],[f68259,f82185])).
% 58.13/9.58 tff(f82185,plain,(
% 58.13/9.58 spl5880_755 <=> ! [X1 : vEBT_VEBT] : ~sP2082($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_755])])).
% 58.13/9.58 tff(f68259,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2082($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f58752])).
% 58.13/9.58 tff(f58752,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2082(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f42035])).
% 58.13/9.58 tff(f82183,plain,(
% 58.13/9.58 spl5880_754),
% 58.13/9.58 inference(avatar_split_clause,[],[f68258,f82181])).
% 58.13/9.58 tff(f82181,plain,(
% 58.13/9.58 spl5880_754 <=> ! [X1 : vEBT_VEBT] : ~sP2083($true,X1)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_754])])).
% 58.13/9.58 tff(f68258,plain,(
% 58.13/9.58 ( ! [X1 : vEBT_VEBT] : (~sP2083($true,X1)) )),
% 58.13/9.58 inference(equality_resolution,[],[f58750])).
% 58.13/9.58 tff(f58750,plain,(
% 58.13/9.58 ( ! [X0 : $o,X1 : vEBT_VEBT] : (($true != X0) | ~sP2083(X0,X1)) )),
% 58.13/9.58 inference(cnf_transformation,[],[f42031])).
% 58.13/9.58 tff(f82179,plain,(
% 58.13/9.58 spl5880_753),
% 58.13/9.58 inference(avatar_split_clause,[],[f50212,f82177])).
% 58.13/9.58 tff(f50212,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22743])).
% 58.13/9.58 tff(f22743,plain,(
% 58.13/9.58 ! [X0 : $tType] : order(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9395])).
% 58.13/9.58 tff(f9395,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder_208)).
% 58.13/9.58 tff(f82175,plain,(
% 58.13/9.58 spl5880_752),
% 58.13/9.58 inference(avatar_split_clause,[],[f50211,f82173])).
% 58.13/9.58 tff(f50211,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22742])).
% 58.13/9.58 tff(f22742,plain,(
% 58.13/9.58 ! [X0 : $tType] : order(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9563])).
% 58.13/9.58 tff(f9563,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder_354)).
% 58.13/9.58 tff(f82171,plain,(
% 58.13/9.58 spl5880_751),
% 58.13/9.58 inference(avatar_split_clause,[],[f50210,f82169])).
% 58.13/9.58 tff(f50210,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (ord(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22741])).
% 58.13/9.58 tff(f22741,plain,(
% 58.13/9.58 ! [X0 : $tType] : ord(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9396])).
% 58.13/9.58 tff(f9396,axiom,(
% 58.13/9.58 ! [X463 : $tType] : ord(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oord_209)).
% 58.13/9.58 tff(f82167,plain,(
% 58.13/9.58 spl5880_750),
% 58.13/9.58 inference(avatar_split_clause,[],[f50209,f82165])).
% 58.13/9.58 tff(f50209,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (ord(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22740])).
% 58.13/9.58 tff(f22740,plain,(
% 58.13/9.58 ! [X0 : $tType] : ord(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9564])).
% 58.13/9.58 tff(f9564,axiom,(
% 58.13/9.58 ! [X463 : $tType] : ord(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oord_355)).
% 58.13/9.58 tff(f82163,plain,(
% 58.13/9.58 spl5880_749),
% 58.13/9.58 inference(avatar_split_clause,[],[f50208,f82161])).
% 58.13/9.58 tff(f50208,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (preorder(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22739])).
% 58.13/9.58 tff(f22739,plain,(
% 58.13/9.58 ! [X0 : $tType] : preorder(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9393])).
% 58.13/9.58 tff(f9393,axiom,(
% 58.13/9.58 ! [X463 : $tType] : preorder(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Opreorder_206)).
% 58.13/9.58 tff(f82159,plain,(
% 58.13/9.58 spl5880_748),
% 58.13/9.58 inference(avatar_split_clause,[],[f50207,f82157])).
% 58.13/9.58 tff(f50207,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (preorder(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22738])).
% 58.13/9.58 tff(f22738,plain,(
% 58.13/9.58 ! [X0 : $tType] : preorder(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9561])).
% 58.13/9.58 tff(f9561,axiom,(
% 58.13/9.58 ! [X463 : $tType] : preorder(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Opreorder_352)).
% 58.13/9.58 tff(f82155,plain,(
% 58.13/9.58 spl5880_747),
% 58.13/9.58 inference(avatar_split_clause,[],[f50206,f82153])).
% 58.13/9.58 tff(f82153,plain,(
% 58.13/9.58 spl5880_747 <=> ! [X0 : $tType] : minus(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_747])])).
% 58.13/9.58 tff(f50206,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (minus(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22737])).
% 58.13/9.58 tff(f22737,plain,(
% 58.13/9.58 ! [X0 : $tType] : minus(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9398])).
% 58.13/9.58 tff(f9398,axiom,(
% 58.13/9.58 ! [X463 : $tType] : minus(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Groups_Ominus_211)).
% 58.13/9.58 tff(f82151,plain,(
% 58.13/9.58 spl5880_746),
% 58.13/9.58 inference(avatar_split_clause,[],[f50205,f82149])).
% 58.13/9.58 tff(f82149,plain,(
% 58.13/9.58 spl5880_746 <=> ! [X0 : $tType] : semilattice_sup(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_746])])).
% 58.13/9.58 tff(f50205,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (semilattice_sup(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22736])).
% 58.13/9.58 tff(f22736,plain,(
% 58.13/9.58 ! [X0 : $tType] : semilattice_sup(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9389])).
% 58.13/9.58 tff(f9389,axiom,(
% 58.13/9.58 ! [X463 : $tType] : semilattice_sup(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__sup_202)).
% 58.13/9.58 tff(f82147,plain,(
% 58.13/9.58 spl5880_745),
% 58.13/9.58 inference(avatar_split_clause,[],[f50204,f82145])).
% 58.13/9.58 tff(f82145,plain,(
% 58.13/9.58 spl5880_745 <=> ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_745])])).
% 58.13/9.58 tff(f50204,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (semilattice_sup(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22735])).
% 58.13/9.58 tff(f22735,plain,(
% 58.13/9.58 ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9557])).
% 58.13/9.58 tff(f9557,axiom,(
% 58.13/9.58 ! [X463 : $tType] : semilattice_sup(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__sup_348)).
% 58.13/9.58 tff(f82143,plain,(
% 58.13/9.58 spl5880_744),
% 58.13/9.58 inference(avatar_split_clause,[],[f50203,f82141])).
% 58.13/9.58 tff(f82141,plain,(
% 58.13/9.58 spl5880_744 <=> ! [X0 : $tType] : semilattice_inf(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_744])])).
% 58.13/9.58 tff(f50203,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (semilattice_inf(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22734])).
% 58.13/9.58 tff(f22734,plain,(
% 58.13/9.58 ! [X0 : $tType] : semilattice_inf(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9390])).
% 58.13/9.58 tff(f9390,axiom,(
% 58.13/9.58 ! [X463 : $tType] : semilattice_inf(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__inf_203)).
% 58.13/9.58 tff(f82139,plain,(
% 58.13/9.58 spl5880_743),
% 58.13/9.58 inference(avatar_split_clause,[],[f50202,f82137])).
% 58.13/9.58 tff(f82137,plain,(
% 58.13/9.58 spl5880_743 <=> ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_743])])).
% 58.13/9.58 tff(f50202,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (semilattice_inf(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22733])).
% 58.13/9.58 tff(f22733,plain,(
% 58.13/9.58 ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9558])).
% 58.13/9.58 tff(f9558,axiom,(
% 58.13/9.58 ! [X463 : $tType] : semilattice_inf(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__inf_349)).
% 58.13/9.58 tff(f82135,plain,(
% 58.13/9.58 spl5880_742),
% 58.13/9.58 inference(avatar_split_clause,[],[f50201,f82133])).
% 58.13/9.58 tff(f82133,plain,(
% 58.13/9.58 spl5880_742 <=> ! [X0 : $tType] : lattice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_742])])).
% 58.13/9.58 tff(f50201,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (lattice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22732])).
% 58.13/9.58 tff(f22732,plain,(
% 58.13/9.58 ! [X0 : $tType] : lattice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9394])).
% 58.13/9.58 tff(f9394,axiom,(
% 58.13/9.58 ! [X463 : $tType] : lattice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Olattice_207)).
% 58.13/9.58 tff(f82131,plain,(
% 58.13/9.58 spl5880_741),
% 58.13/9.58 inference(avatar_split_clause,[],[f50200,f82129])).
% 58.13/9.58 tff(f82129,plain,(
% 58.13/9.58 spl5880_741 <=> ! [X0 : $tType] : lattice(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_741])])).
% 58.13/9.58 tff(f50200,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (lattice(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22731])).
% 58.13/9.58 tff(f22731,plain,(
% 58.13/9.58 ! [X0 : $tType] : lattice(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9562])).
% 58.13/9.58 tff(f9562,axiom,(
% 58.13/9.58 ! [X463 : $tType] : lattice(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Olattice_353)).
% 58.13/9.58 tff(f82127,plain,(
% 58.13/9.58 spl5880_740),
% 58.13/9.58 inference(avatar_split_clause,[],[f50199,f82125])).
% 58.13/9.58 tff(f82125,plain,(
% 58.13/9.58 spl5880_740 <=> ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_740])])).
% 58.13/9.58 tff(f50199,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (condit1219197933456340205attice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22730])).
% 58.13/9.58 tff(f22730,plain,(
% 58.13/9.58 ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9382])).
% 58.13/9.58 tff(f9382,axiom,(
% 58.13/9.58 ! [X463 : $tType] : condit1219197933456340205attice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_195)).
% 58.13/9.58 tff(f82123,plain,(
% 58.13/9.58 spl5880_739),
% 58.13/9.58 inference(avatar_split_clause,[],[f50198,f82121])).
% 58.13/9.58 tff(f82121,plain,(
% 58.13/9.58 spl5880_739 <=> ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_739])])).
% 58.13/9.58 tff(f50198,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (condit1219197933456340205attice(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22729])).
% 58.13/9.58 tff(f22729,plain,(
% 58.13/9.58 ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9552])).
% 58.13/9.58 tff(f9552,axiom,(
% 58.13/9.58 ! [X463 : $tType] : condit1219197933456340205attice(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_343)).
% 58.13/9.58 tff(f82119,plain,(
% 58.13/9.58 spl5880_738),
% 58.13/9.58 inference(avatar_split_clause,[],[f50197,f82117])).
% 58.13/9.58 tff(f82117,plain,(
% 58.13/9.58 spl5880_738 <=> ! [X0 : $tType] : uminus(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_738])])).
% 58.13/9.58 tff(f50197,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (uminus(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22728])).
% 58.13/9.58 tff(f22728,plain,(
% 58.13/9.58 ! [X0 : $tType] : uminus(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9397])).
% 58.13/9.58 tff(f9397,axiom,(
% 58.13/9.58 ! [X463 : $tType] : uminus(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Groups_Ouminus_210)).
% 58.13/9.58 tff(f82115,plain,(
% 58.13/9.58 spl5880_737),
% 58.13/9.58 inference(avatar_split_clause,[],[f50196,f82113])).
% 58.13/9.58 tff(f82113,plain,(
% 58.13/9.58 spl5880_737 <=> ! [X0 : $tType] : size(list(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_737])])).
% 58.13/9.58 tff(f50196,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (size(list(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22727])).
% 58.13/9.58 tff(f22727,plain,(
% 58.13/9.58 ! [X0 : $tType] : size(list(X0))),
% 58.13/9.58 inference(rectify,[],[f9421])).
% 58.13/9.58 tff(f9421,axiom,(
% 58.13/9.58 ! [X463 : $tType] : size(list(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_List_Olist___Nat_Osize_234)).
% 58.13/9.58 tff(f82111,plain,(
% 58.13/9.58 spl5880_736),
% 58.13/9.58 inference(avatar_split_clause,[],[f50195,f82109])).
% 58.13/9.58 tff(f82109,plain,(
% 58.13/9.58 spl5880_736 <=> ! [X0 : $tType] : size(option(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_736])])).
% 58.13/9.58 tff(f50195,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (size(option(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22726])).
% 58.13/9.58 tff(f22726,plain,(
% 58.13/9.58 ! [X0 : $tType] : size(option(X0))),
% 58.13/9.58 inference(rectify,[],[f9565])).
% 58.13/9.58 tff(f9565,axiom,(
% 58.13/9.58 ! [X463 : $tType] : size(option(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Option_Ooption___Nat_Osize_356)).
% 58.13/9.58 tff(f82107,plain,(
% 58.13/9.58 spl5880_735),
% 58.13/9.58 inference(avatar_split_clause,[],[f50194,f82105])).
% 58.13/9.58 tff(f82105,plain,(
% 58.13/9.58 spl5880_735 <=> ! [X0 : $tType] : order_bot(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_735])])).
% 58.13/9.58 tff(f50194,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order_bot(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22725])).
% 58.13/9.58 tff(f22725,plain,(
% 58.13/9.58 ! [X0 : $tType] : order_bot(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9392])).
% 58.13/9.58 tff(f9392,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order_bot(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__bot_205)).
% 58.13/9.58 tff(f82103,plain,(
% 58.13/9.58 spl5880_734),
% 58.13/9.58 inference(avatar_split_clause,[],[f50193,f82101])).
% 58.13/9.58 tff(f82101,plain,(
% 58.13/9.58 spl5880_734 <=> ! [X0 : $tType] : order_bot(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_734])])).
% 58.13/9.58 tff(f50193,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order_bot(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22724])).
% 58.13/9.58 tff(f22724,plain,(
% 58.13/9.58 ! [X0 : $tType] : order_bot(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9560])).
% 58.13/9.58 tff(f9560,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order_bot(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__bot_351)).
% 58.13/9.58 tff(f82099,plain,(
% 58.13/9.58 spl5880_733),
% 58.13/9.58 inference(avatar_split_clause,[],[f50192,f82097])).
% 58.13/9.58 tff(f82097,plain,(
% 58.13/9.58 spl5880_733 <=> ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_733])])).
% 58.13/9.58 tff(f50192,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (comple6319245703460814977attice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22723])).
% 58.13/9.58 tff(f22723,plain,(
% 58.13/9.58 ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9387])).
% 58.13/9.58 tff(f9387,axiom,(
% 58.13/9.58 ! [X463 : $tType] : comple6319245703460814977attice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__lattice_200)).
% 58.13/9.58 tff(f82095,plain,(
% 58.13/9.58 spl5880_732),
% 58.13/9.58 inference(avatar_split_clause,[],[f50191,f82093])).
% 58.13/9.58 tff(f82093,plain,(
% 58.13/9.58 spl5880_732 <=> ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_732])])).
% 58.13/9.58 tff(f50191,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (comple6319245703460814977attice(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22722])).
% 58.13/9.58 tff(f22722,plain,(
% 58.13/9.58 ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9556])).
% 58.13/9.58 tff(f9556,axiom,(
% 58.13/9.58 ! [X463 : $tType] : comple6319245703460814977attice(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Complete__Lattices_Ocomplete__lattice_347)).
% 58.13/9.58 tff(f82091,plain,(
% 58.13/9.58 spl5880_731),
% 58.13/9.58 inference(avatar_split_clause,[],[f50190,f82089])).
% 58.13/9.58 tff(f82089,plain,(
% 58.13/9.58 spl5880_731 <=> ! [X0 : $tType] : order_top(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_731])])).
% 58.13/9.58 tff(f50190,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order_top(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22721])).
% 58.13/9.58 tff(f22721,plain,(
% 58.13/9.58 ! [X0 : $tType] : order_top(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9391])).
% 58.13/9.58 tff(f9391,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order_top(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__top_204)).
% 58.13/9.58 tff(f82087,plain,(
% 58.13/9.58 spl5880_730),
% 58.13/9.58 inference(avatar_split_clause,[],[f50189,f82085])).
% 58.13/9.58 tff(f82085,plain,(
% 58.13/9.58 spl5880_730 <=> ! [X0 : $tType] : order_top(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_730])])).
% 58.13/9.58 tff(f50189,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (order_top(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22720])).
% 58.13/9.58 tff(f22720,plain,(
% 58.13/9.58 ! [X0 : $tType] : order_top(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9559])).
% 58.13/9.58 tff(f9559,axiom,(
% 58.13/9.58 ! [X463 : $tType] : order_top(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__top_350)).
% 58.13/9.58 tff(f82083,plain,(
% 58.13/9.58 spl5880_729),
% 58.13/9.58 inference(avatar_split_clause,[],[f50188,f82081])).
% 58.13/9.58 tff(f82081,plain,(
% 58.13/9.58 spl5880_729 <=> ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_729])])).
% 58.13/9.58 tff(f50188,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (counta3822494911875563373attice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22719])).
% 58.13/9.58 tff(f22719,plain,(
% 58.13/9.58 ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9383])).
% 58.13/9.58 tff(f9383,axiom,(
% 58.13/9.58 ! [X463 : $tType] : counta3822494911875563373attice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Countable__Complete__Lattices_Ocountable__complete__lattice_196)).
% 58.13/9.58 tff(f82079,plain,(
% 58.13/9.58 spl5880_728),
% 58.13/9.58 inference(avatar_split_clause,[],[f50187,f82077])).
% 58.13/9.58 tff(f82077,plain,(
% 58.13/9.58 spl5880_728 <=> ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_728])])).
% 58.13/9.58 tff(f50187,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (counta3822494911875563373attice(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22718])).
% 58.13/9.58 tff(f22718,plain,(
% 58.13/9.58 ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9553])).
% 58.13/9.58 tff(f9553,axiom,(
% 58.13/9.58 ! [X463 : $tType] : counta3822494911875563373attice(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Countable__Complete__Lattices_Ocountable__complete__lattice_344)).
% 58.13/9.58 tff(f82075,plain,(
% 58.13/9.58 spl5880_727),
% 58.13/9.58 inference(avatar_split_clause,[],[f50186,f82073])).
% 58.13/9.58 tff(f82073,plain,(
% 58.13/9.58 spl5880_727 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_727])])).
% 58.13/9.58 tff(f50186,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22717])).
% 58.13/9.58 tff(f22717,plain,(
% 58.13/9.58 ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9385])).
% 58.13/9.58 tff(f9385,axiom,(
% 58.13/9.58 ! [X463 : $tType] : bounde4967611905675639751up_bot(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__semilattice__sup__bot_198)).
% 58.13/9.58 tff(f82071,plain,(
% 58.13/9.58 spl5880_726),
% 58.13/9.58 inference(avatar_split_clause,[],[f50185,f82069])).
% 58.13/9.58 tff(f82069,plain,(
% 58.13/9.58 spl5880_726 <=> ! [X0 : $tType] : bounded_lattice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_726])])).
% 58.13/9.58 tff(f50185,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (bounded_lattice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22716])).
% 58.13/9.58 tff(f22716,plain,(
% 58.13/9.58 ! [X0 : $tType] : bounded_lattice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9048])).
% 58.13/9.58 tff(f9048,axiom,(
% 58.13/9.58 ! [X463 : $tType] : bounded_lattice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice_4)).
% 58.13/9.58 tff(f82067,plain,(
% 58.13/9.58 spl5880_725),
% 58.13/9.58 inference(avatar_split_clause,[],[f50184,f82065])).
% 58.13/9.58 tff(f82065,plain,(
% 58.13/9.58 spl5880_725 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_725])])).
% 58.13/9.58 tff(f50184,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22715])).
% 58.13/9.58 tff(f22715,plain,(
% 58.13/9.58 ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9554])).
% 58.13/9.58 tff(f9554,axiom,(
% 58.13/9.58 ! [X463 : $tType] : bounde4967611905675639751up_bot(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__semilattice__sup__bot_345)).
% 58.13/9.58 tff(f82063,plain,(
% 58.13/9.58 spl5880_724),
% 58.13/9.58 inference(avatar_split_clause,[],[f50183,f82061])).
% 58.13/9.58 tff(f82061,plain,(
% 58.13/9.58 spl5880_724 <=> ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_724])])).
% 58.13/9.58 tff(f50183,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (bounded_lattice(filter(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22714])).
% 58.13/9.58 tff(f22714,plain,(
% 58.13/9.58 ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 58.13/9.58 inference(rectify,[],[f9046])).
% 58.13/9.58 tff(f9046,axiom,(
% 58.13/9.58 ! [X463 : $tType] : bounded_lattice(filter(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice_2)).
% 58.13/9.58 tff(f82059,plain,(
% 58.13/9.58 spl5880_723),
% 58.13/9.58 inference(avatar_split_clause,[],[f50182,f82057])).
% 58.13/9.58 tff(f82057,plain,(
% 58.13/9.58 spl5880_723 <=> ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_723])])).
% 58.13/9.58 tff(f50182,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (comple592849572758109894attice(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22711])).
% 58.13/9.58 tff(f22711,plain,(
% 58.13/9.58 ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9384])).
% 58.13/9.58 tff(f9384,axiom,(
% 58.13/9.58 ! [X463 : $tType] : comple592849572758109894attice(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__distrib__lattice_197)).
% 58.13/9.58 tff(f82055,plain,(
% 58.13/9.58 spl5880_722),
% 58.13/9.58 inference(avatar_split_clause,[],[f50181,f82053])).
% 58.13/9.58 tff(f82053,plain,(
% 58.13/9.58 spl5880_722 <=> ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_722])])).
% 58.13/9.58 tff(f50181,plain,(
% 58.13/9.58 ( ! [X0 : $tType] : (boolea8198339166811842893lgebra(set(X0))) )),
% 58.13/9.58 inference(cnf_transformation,[],[f22710])).
% 58.13/9.58 tff(f22710,plain,(
% 58.13/9.58 ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 58.13/9.58 inference(rectify,[],[f9388])).
% 58.13/9.58 tff(f9388,axiom,(
% 58.13/9.58 ! [X463 : $tType] : boolea8198339166811842893lgebra(set(X463))),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Boolean__Algebras_Oboolean__algebra_201)).
% 58.13/9.58 tff(f82051,plain,(
% 58.13/9.58 spl5880_721),
% 58.13/9.58 inference(avatar_split_clause,[],[f49995,f82048])).
% 58.13/9.58 tff(f49995,plain,(
% 58.13/9.58 vEBT_invar_vebt(summary,m)),
% 58.13/9.58 inference(cnf_transformation,[],[f2])).
% 58.13/9.58 tff(f2,axiom,(
% 58.13/9.58 vEBT_invar_vebt(summary,m)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C5_Ohyps_C_I1_J)).
% 58.13/9.58 tff(f82046,plain,(
% 58.13/9.58 ~spl5880_720),
% 58.13/9.58 inference(avatar_split_clause,[],[f9826,f82043])).
% 58.13/9.58 tff(f82043,plain,(
% 58.13/9.58 spl5880_720 <=> ($true = $false)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_720])])).
% 58.13/9.58 tff(f9826,plain,(
% 58.13/9.58 ($true != $false)),
% 58.13/9.58 introduced(fool_axiom,[])).
% 58.13/9.58 tff(f82041,plain,(
% 58.13/9.58 ~spl5880_719),
% 58.13/9.58 inference(avatar_split_clause,[],[f69723,f82038])).
% 58.13/9.58 tff(f69723,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(lG1826(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),h79),l78),na)),
% 58.13/9.58 inference(forward_demodulation,[],[f69722,f65717])).
% 58.13/9.58 tff(f69722,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(lG1826(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),l78),na)),
% 58.13/9.58 inference(forward_demodulation,[],[f69721,f65718])).
% 58.13/9.58 tff(f69721,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(lG1826(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),na)),
% 58.13/9.58 inference(forward_demodulation,[],[f65736,f65062])).
% 58.13/9.58 tff(f65736,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(lG1832(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),na)),
% 58.13/9.58 inference(definition_unfolding,[],[f49276,f46124,f56860,f56859])).
% 58.13/9.58 tff(f49276,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.58 inference(cnf_transformation,[],[f22709])).
% 58.13/9.58 tff(f22709,plain,(
% 58.13/9.58 ~vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.58 inference(flattening,[],[f9825])).
% 58.13/9.58 tff(f9825,negated_conjecture,(
% 58.13/9.58 ~vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.58 inference(negated_conjecture,[],[f9824])).
% 58.13/9.58 tff(f9824,conjecture,(
% 58.13/9.58 vEBT_invar_vebt(vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary))),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_mint(summary)))))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 58.13/9.58 tff(f82036,plain,(
% 58.13/9.58 spl5880_718),
% 58.13/9.58 inference(avatar_split_clause,[],[f49994,f82033])).
% 58.13/9.58 tff(f49994,plain,(
% 58.13/9.58 order(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9268])).
% 58.13/9.58 tff(f9268,axiom,(
% 58.13/9.58 order(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_93)).
% 58.13/9.58 tff(f82031,plain,(
% 58.13/9.58 spl5880_717),
% 58.13/9.58 inference(avatar_split_clause,[],[f49993,f82028])).
% 58.13/9.58 tff(f49993,plain,(
% 58.13/9.58 order(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9531])).
% 58.13/9.58 tff(f9531,axiom,(
% 58.13/9.58 order(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oorder_322)).
% 58.13/9.58 tff(f82026,plain,(
% 58.13/9.58 spl5880_716),
% 58.13/9.58 inference(avatar_split_clause,[],[f49992,f82023])).
% 58.13/9.58 tff(f49992,plain,(
% 58.13/9.58 order($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9417])).
% 58.13/9.58 tff(f9417,axiom,(
% 58.13/9.58 order($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder_230)).
% 58.13/9.58 tff(f82021,plain,(
% 58.13/9.58 spl5880_715),
% 58.13/9.58 inference(avatar_split_clause,[],[f49991,f82018])).
% 58.13/9.58 tff(f49991,plain,(
% 58.13/9.58 order(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9168])).
% 58.13/9.58 tff(f9168,axiom,(
% 58.13/9.58 order(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_11)).
% 58.13/9.58 tff(f82016,plain,(
% 58.13/9.58 spl5880_714),
% 58.13/9.58 inference(avatar_split_clause,[],[f49990,f82013])).
% 58.13/9.58 tff(f49990,plain,(
% 58.13/9.58 order(num)),
% 58.13/9.58 inference(cnf_transformation,[],[f9281])).
% 58.13/9.58 tff(f9281,axiom,(
% 58.13/9.58 order(num)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oorder_105)).
% 58.13/9.58 tff(f82011,plain,(
% 58.13/9.58 spl5880_713),
% 58.13/9.58 inference(avatar_split_clause,[],[f49989,f82008])).
% 58.13/9.58 tff(f49989,plain,(
% 58.13/9.58 order(code_integer)),
% 58.13/9.58 inference(cnf_transformation,[],[f9802])).
% 58.13/9.58 tff(f9802,axiom,(
% 58.13/9.58 order(code_integer)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oorder_592)).
% 58.13/9.58 tff(f82006,plain,(
% 58.13/9.58 spl5880_712),
% 58.13/9.58 inference(avatar_split_clause,[],[f49988,f82003])).
% 58.13/9.58 tff(f49988,plain,(
% 58.13/9.58 order(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9363])).
% 58.13/9.58 tff(f9363,axiom,(
% 58.13/9.58 order(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oorder_178)).
% 58.13/9.58 tff(f82001,plain,(
% 58.13/9.58 spl5880_711),
% 58.13/9.58 inference(avatar_split_clause,[],[f49987,f81998])).
% 58.13/9.58 tff(f49987,plain,(
% 58.13/9.58 order(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9686])).
% 58.13/9.58 tff(f9686,axiom,(
% 58.13/9.58 order(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder_476)).
% 58.13/9.58 tff(f81996,plain,(
% 58.13/9.58 spl5880_710),
% 58.13/9.58 inference(avatar_split_clause,[],[f49986,f81993])).
% 58.13/9.58 tff(f49986,plain,(
% 58.13/9.58 order(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9716])).
% 58.13/9.58 tff(f9716,axiom,(
% 58.13/9.58 order(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder_506)).
% 58.13/9.58 tff(f81991,plain,(
% 58.13/9.58 spl5880_709),
% 58.13/9.58 inference(avatar_split_clause,[],[f49985,f81988])).
% 58.13/9.58 tff(f49985,plain,(
% 58.13/9.58 ord(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9270])).
% 58.13/9.58 tff(f9270,axiom,(
% 58.13/9.58 ord(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oord_95)).
% 58.13/9.58 tff(f81986,plain,(
% 58.13/9.58 spl5880_708),
% 58.13/9.58 inference(avatar_split_clause,[],[f49984,f81983])).
% 58.13/9.58 tff(f49984,plain,(
% 58.13/9.58 ord(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9536])).
% 58.13/9.58 tff(f9536,axiom,(
% 58.13/9.58 ord(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oord_327)).
% 58.13/9.58 tff(f81981,plain,(
% 58.13/9.58 spl5880_707),
% 58.13/9.58 inference(avatar_split_clause,[],[f49983,f81978])).
% 58.13/9.58 tff(f49983,plain,(
% 58.13/9.58 ord($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9418])).
% 58.13/9.58 tff(f9418,axiom,(
% 58.13/9.58 ord($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oord_231)).
% 58.13/9.58 tff(f81976,plain,(
% 58.13/9.58 spl5880_706),
% 58.13/9.58 inference(avatar_split_clause,[],[f49982,f81973])).
% 58.13/9.58 tff(f49982,plain,(
% 58.13/9.58 ord(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9172])).
% 58.13/9.58 tff(f9172,axiom,(
% 58.13/9.58 ord(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oord_12)).
% 58.13/9.58 tff(f81971,plain,(
% 58.13/9.58 spl5880_705),
% 58.13/9.58 inference(avatar_split_clause,[],[f49981,f81968])).
% 58.13/9.58 tff(f49981,plain,(
% 58.13/9.58 ord(num)),
% 58.13/9.58 inference(cnf_transformation,[],[f9282])).
% 58.13/9.58 tff(f9282,axiom,(
% 58.13/9.58 ord(num)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oord_106)).
% 58.13/9.58 tff(f81966,plain,(
% 58.13/9.58 spl5880_704),
% 58.13/9.58 inference(avatar_split_clause,[],[f49980,f81963])).
% 58.13/9.58 tff(f49980,plain,(
% 58.13/9.58 ord(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9368])).
% 58.13/9.58 tff(f9368,axiom,(
% 58.13/9.58 ord(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oord_182)).
% 58.13/9.58 tff(f81961,plain,(
% 58.13/9.58 spl5880_703),
% 58.13/9.58 inference(avatar_split_clause,[],[f49979,f81958])).
% 58.13/9.58 tff(f49979,plain,(
% 58.13/9.58 ord(code_integer)),
% 58.13/9.58 inference(cnf_transformation,[],[f9806])).
% 58.13/9.58 tff(f9806,axiom,(
% 58.13/9.58 ord(code_integer)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oord_596)).
% 58.13/9.58 tff(f81956,plain,(
% 58.13/9.58 spl5880_702),
% 58.13/9.58 inference(avatar_split_clause,[],[f49978,f81953])).
% 58.13/9.58 tff(f49978,plain,(
% 58.13/9.58 ord(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9688])).
% 58.13/9.58 tff(f9688,axiom,(
% 58.13/9.58 ord(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_478)).
% 58.13/9.58 tff(f81951,plain,(
% 58.13/9.58 spl5880_701),
% 58.13/9.58 inference(avatar_split_clause,[],[f49977,f81948])).
% 58.13/9.58 tff(f49977,plain,(
% 58.13/9.58 ord(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9717])).
% 58.13/9.58 tff(f9717,axiom,(
% 58.13/9.58 ord(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oord_507)).
% 58.13/9.58 tff(f81946,plain,(
% 58.13/9.58 spl5880_700),
% 58.13/9.58 inference(avatar_split_clause,[],[f49976,f81943])).
% 58.13/9.58 tff(f49976,plain,(
% 58.13/9.58 preorder(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9257])).
% 58.13/9.58 tff(f9257,axiom,(
% 58.13/9.58 preorder(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_82)).
% 58.13/9.58 tff(f81941,plain,(
% 58.13/9.58 spl5880_699),
% 58.13/9.58 inference(avatar_split_clause,[],[f49975,f81938])).
% 58.13/9.58 tff(f49975,plain,(
% 58.13/9.58 preorder(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9516])).
% 58.13/9.58 tff(f9516,axiom,(
% 58.13/9.58 preorder(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Opreorder_308)).
% 58.13/9.58 tff(f81936,plain,(
% 58.13/9.58 spl5880_698),
% 58.13/9.58 inference(avatar_split_clause,[],[f49974,f81933])).
% 58.13/9.58 tff(f49974,plain,(
% 58.13/9.58 preorder($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9414])).
% 58.13/9.58 tff(f9414,axiom,(
% 58.13/9.58 preorder($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Opreorder_227)).
% 58.13/9.58 tff(f81931,plain,(
% 58.13/9.58 spl5880_697),
% 58.13/9.58 inference(avatar_split_clause,[],[f49973,f81928])).
% 58.13/9.58 tff(f49973,plain,(
% 58.13/9.58 preorder(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9151])).
% 58.13/9.58 tff(f9151,axiom,(
% 58.13/9.58 preorder(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Opreorder_9)).
% 58.13/9.58 tff(f81926,plain,(
% 58.13/9.58 spl5880_696),
% 58.13/9.58 inference(avatar_split_clause,[],[f49972,f81923])).
% 58.13/9.58 tff(f49972,plain,(
% 58.13/9.58 preorder(num)),
% 58.13/9.58 inference(cnf_transformation,[],[f9279])).
% 58.13/9.58 tff(f9279,axiom,(
% 58.13/9.58 preorder(num)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Opreorder_103)).
% 58.13/9.58 tff(f81921,plain,(
% 58.13/9.58 spl5880_695),
% 58.13/9.58 inference(avatar_split_clause,[],[f49971,f81918])).
% 58.13/9.58 tff(f49971,plain,(
% 58.13/9.58 preorder(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9349])).
% 58.13/9.58 tff(f9349,axiom,(
% 58.13/9.58 preorder(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Opreorder_164)).
% 58.13/9.58 tff(f81916,plain,(
% 58.13/9.58 spl5880_694),
% 58.13/9.58 inference(avatar_split_clause,[],[f49970,f81913])).
% 58.13/9.58 tff(f49970,plain,(
% 58.13/9.58 preorder(code_integer)),
% 58.13/9.58 inference(cnf_transformation,[],[f9790])).
% 58.13/9.58 tff(f9790,axiom,(
% 58.13/9.58 preorder(code_integer)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Opreorder_580)).
% 58.13/9.58 tff(f81911,plain,(
% 58.13/9.58 spl5880_693),
% 58.13/9.58 inference(avatar_split_clause,[],[f49969,f81908])).
% 58.13/9.58 tff(f49969,plain,(
% 58.13/9.58 preorder(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9678])).
% 58.13/9.58 tff(f9678,axiom,(
% 58.13/9.58 preorder(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Opreorder_468)).
% 58.13/9.58 tff(f81906,plain,(
% 58.13/9.58 spl5880_692),
% 58.13/9.58 inference(avatar_split_clause,[],[f49968,f81903])).
% 58.13/9.58 tff(f49968,plain,(
% 58.13/9.58 preorder(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9713])).
% 58.13/9.58 tff(f9713,axiom,(
% 58.13/9.58 preorder(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Opreorder_503)).
% 58.13/9.58 tff(f81901,plain,(
% 58.13/9.58 spl5880_691),
% 58.13/9.58 inference(avatar_split_clause,[],[f49967,f81898])).
% 58.13/9.58 tff(f81898,plain,(
% 58.13/9.58 spl5880_691 <=> minus(nat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_691])])).
% 58.13/9.58 tff(f49967,plain,(
% 58.13/9.58 minus(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9271])).
% 58.13/9.58 tff(f9271,axiom,(
% 58.13/9.58 minus(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ominus_96)).
% 58.13/9.58 tff(f81896,plain,(
% 58.13/9.58 spl5880_690),
% 58.13/9.58 inference(avatar_split_clause,[],[f49966,f81893])).
% 58.13/9.58 tff(f81893,plain,(
% 58.13/9.58 spl5880_690 <=> minus(real)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_690])])).
% 58.13/9.58 tff(f49966,plain,(
% 58.13/9.58 minus(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9540])).
% 58.13/9.58 tff(f9540,axiom,(
% 58.13/9.58 minus(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ominus_331)).
% 58.13/9.58 tff(f81891,plain,(
% 58.13/9.58 spl5880_689),
% 58.13/9.58 inference(avatar_split_clause,[],[f49965,f81888])).
% 58.13/9.58 tff(f81888,plain,(
% 58.13/9.58 spl5880_689 <=> minus($o)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_689])])).
% 58.13/9.58 tff(f49965,plain,(
% 58.13/9.58 minus($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9420])).
% 58.13/9.58 tff(f9420,axiom,(
% 58.13/9.58 minus($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ominus_233)).
% 58.13/9.58 tff(f81886,plain,(
% 58.13/9.58 spl5880_688),
% 58.13/9.58 inference(avatar_split_clause,[],[f49964,f81883])).
% 58.13/9.58 tff(f81883,plain,(
% 58.13/9.58 spl5880_688 <=> minus(int)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_688])])).
% 58.13/9.58 tff(f49964,plain,(
% 58.13/9.58 minus(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9176])).
% 58.13/9.58 tff(f9176,axiom,(
% 58.13/9.58 minus(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ominus_14)).
% 58.13/9.58 tff(f81881,plain,(
% 58.13/9.58 spl5880_687),
% 58.13/9.58 inference(avatar_split_clause,[],[f49963,f81878])).
% 58.13/9.58 tff(f81878,plain,(
% 58.13/9.58 spl5880_687 <=> minus(complex)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_687])])).
% 58.13/9.58 tff(f49963,plain,(
% 58.13/9.58 minus(complex)),
% 58.13/9.58 inference(cnf_transformation,[],[f9632])).
% 58.13/9.58 tff(f9632,axiom,(
% 58.13/9.58 minus(complex)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ominus_423)).
% 58.13/9.58 tff(f81876,plain,(
% 58.13/9.58 spl5880_686),
% 58.13/9.58 inference(avatar_split_clause,[],[f49962,f81873])).
% 58.13/9.58 tff(f81873,plain,(
% 58.13/9.58 spl5880_686 <=> minus(rat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_686])])).
% 58.13/9.58 tff(f49962,plain,(
% 58.13/9.58 minus(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9372])).
% 58.13/9.58 tff(f9372,axiom,(
% 58.13/9.58 minus(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ominus_186)).
% 58.13/9.58 tff(f81871,plain,(
% 58.13/9.58 spl5880_685),
% 58.13/9.58 inference(avatar_split_clause,[],[f49961,f81868])).
% 58.13/9.58 tff(f81868,plain,(
% 58.13/9.58 spl5880_685 <=> minus(code_integer)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_685])])).
% 58.13/9.58 tff(f49961,plain,(
% 58.13/9.58 minus(code_integer)),
% 58.13/9.58 inference(cnf_transformation,[],[f9810])).
% 58.13/9.58 tff(f9810,axiom,(
% 58.13/9.58 minus(code_integer)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ominus_600)).
% 58.13/9.58 tff(f81866,plain,(
% 58.13/9.58 spl5880_684),
% 58.13/9.58 inference(avatar_split_clause,[],[f49960,f81863])).
% 58.13/9.58 tff(f81863,plain,(
% 58.13/9.58 spl5880_684 <=> minus(extended_enat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_684])])).
% 58.13/9.58 tff(f49960,plain,(
% 58.13/9.58 minus(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9689])).
% 58.13/9.58 tff(f9689,axiom,(
% 58.13/9.58 minus(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ominus_479)).
% 58.13/9.58 tff(f81861,plain,(
% 58.13/9.58 spl5880_683),
% 58.13/9.58 inference(avatar_split_clause,[],[f49959,f81858])).
% 58.13/9.58 tff(f81858,plain,(
% 58.13/9.58 spl5880_683 <=> minus(product_unit)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_683])])).
% 58.13/9.58 tff(f49959,plain,(
% 58.13/9.58 minus(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9719])).
% 58.13/9.58 tff(f9719,axiom,(
% 58.13/9.58 minus(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ominus_509)).
% 58.13/9.58 tff(f81856,plain,(
% 58.13/9.58 spl5880_682),
% 58.13/9.58 inference(avatar_split_clause,[],[f49958,f81853])).
% 58.13/9.58 tff(f81853,plain,(
% 58.13/9.58 spl5880_682 <=> semilattice_sup(nat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_682])])).
% 58.13/9.58 tff(f49958,plain,(
% 58.13/9.58 semilattice_sup(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9232])).
% 58.13/9.58 tff(f9232,axiom,(
% 58.13/9.58 semilattice_sup(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__sup_59)).
% 58.13/9.58 tff(f81851,plain,(
% 58.13/9.58 spl5880_681),
% 58.13/9.58 inference(avatar_split_clause,[],[f49957,f81848])).
% 58.13/9.58 tff(f81848,plain,(
% 58.13/9.58 spl5880_681 <=> semilattice_sup(real)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_681])])).
% 58.13/9.58 tff(f49957,plain,(
% 58.13/9.58 semilattice_sup(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9487])).
% 58.13/9.58 tff(f9487,axiom,(
% 58.13/9.58 semilattice_sup(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__sup_279)).
% 58.13/9.58 tff(f81846,plain,(
% 58.13/9.58 spl5880_680),
% 58.13/9.58 inference(avatar_split_clause,[],[f49956,f81843])).
% 58.13/9.58 tff(f81843,plain,(
% 58.13/9.58 spl5880_680 <=> semilattice_sup($o)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_680])])).
% 58.13/9.58 tff(f49956,plain,(
% 58.13/9.58 semilattice_sup($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9410])).
% 58.13/9.58 tff(f9410,axiom,(
% 58.13/9.58 semilattice_sup($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_223)).
% 58.13/9.58 tff(f81841,plain,(
% 58.13/9.58 spl5880_679),
% 58.13/9.58 inference(avatar_split_clause,[],[f49955,f81838])).
% 58.13/9.58 tff(f81838,plain,(
% 58.13/9.58 spl5880_679 <=> semilattice_sup(int)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_679])])).
% 58.13/9.58 tff(f49955,plain,(
% 58.13/9.58 semilattice_sup(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9122])).
% 58.13/9.58 tff(f9122,axiom,(
% 58.13/9.58 semilattice_sup(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__sup_7)).
% 58.13/9.58 tff(f81836,plain,(
% 58.13/9.58 spl5880_678),
% 58.13/9.58 inference(avatar_split_clause,[],[f49954,f81833])).
% 58.13/9.58 tff(f81833,plain,(
% 58.13/9.58 spl5880_678 <=> semilattice_sup(rat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_678])])).
% 58.13/9.58 tff(f49954,plain,(
% 58.13/9.58 semilattice_sup(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9320])).
% 58.13/9.58 tff(f9320,axiom,(
% 58.13/9.58 semilattice_sup(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__sup_140)).
% 58.13/9.58 tff(f81831,plain,(
% 58.13/9.58 spl5880_677),
% 58.13/9.58 inference(avatar_split_clause,[],[f49953,f81828])).
% 58.13/9.58 tff(f81828,plain,(
% 58.13/9.58 spl5880_677 <=> semilattice_sup(extended_enat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_677])])).
% 58.13/9.58 tff(f49953,plain,(
% 58.13/9.58 semilattice_sup(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9659])).
% 58.13/9.58 tff(f9659,axiom,(
% 58.13/9.58 semilattice_sup(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__sup_449)).
% 58.13/9.58 tff(f81826,plain,(
% 58.13/9.58 spl5880_676),
% 58.13/9.58 inference(avatar_split_clause,[],[f49952,f81823])).
% 58.13/9.58 tff(f81823,plain,(
% 58.13/9.58 spl5880_676 <=> semilattice_sup(product_unit)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_676])])).
% 58.13/9.58 tff(f49952,plain,(
% 58.13/9.58 semilattice_sup(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9708])).
% 58.13/9.58 tff(f9708,axiom,(
% 58.13/9.58 semilattice_sup(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__sup_498)).
% 58.13/9.58 tff(f81821,plain,(
% 58.13/9.58 spl5880_675),
% 58.13/9.58 inference(avatar_split_clause,[],[f49951,f81818])).
% 58.13/9.58 tff(f81818,plain,(
% 58.13/9.58 spl5880_675 <=> semilattice_inf(nat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_675])])).
% 58.13/9.58 tff(f49951,plain,(
% 58.13/9.58 semilattice_inf(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9233])).
% 58.13/9.58 tff(f9233,axiom,(
% 58.13/9.58 semilattice_inf(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__inf_60)).
% 58.13/9.58 tff(f81816,plain,(
% 58.13/9.58 spl5880_674),
% 58.13/9.58 inference(avatar_split_clause,[],[f49950,f81813])).
% 58.13/9.58 tff(f81813,plain,(
% 58.13/9.58 spl5880_674 <=> semilattice_inf(real)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_674])])).
% 58.13/9.58 tff(f49950,plain,(
% 58.13/9.58 semilattice_inf(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9488])).
% 58.13/9.58 tff(f9488,axiom,(
% 58.13/9.58 semilattice_inf(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__inf_280)).
% 58.13/9.58 tff(f81811,plain,(
% 58.13/9.58 spl5880_673),
% 58.13/9.58 inference(avatar_split_clause,[],[f49949,f81808])).
% 58.13/9.58 tff(f81808,plain,(
% 58.13/9.58 spl5880_673 <=> semilattice_inf($o)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_673])])).
% 58.13/9.58 tff(f49949,plain,(
% 58.13/9.58 semilattice_inf($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9411])).
% 58.13/9.58 tff(f9411,axiom,(
% 58.13/9.58 semilattice_inf($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__inf_224)).
% 58.13/9.58 tff(f81806,plain,(
% 58.13/9.58 spl5880_672),
% 58.13/9.58 inference(avatar_split_clause,[],[f49948,f81803])).
% 58.13/9.58 tff(f81803,plain,(
% 58.13/9.58 spl5880_672 <=> semilattice_inf(int)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_672])])).
% 58.13/9.58 tff(f49948,plain,(
% 58.13/9.58 semilattice_inf(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9123])).
% 58.13/9.58 tff(f9123,axiom,(
% 58.13/9.58 semilattice_inf(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__inf_8)).
% 58.13/9.58 tff(f81801,plain,(
% 58.13/9.58 spl5880_671),
% 58.13/9.58 inference(avatar_split_clause,[],[f49947,f81798])).
% 58.13/9.58 tff(f81798,plain,(
% 58.13/9.58 spl5880_671 <=> semilattice_inf(rat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_671])])).
% 58.13/9.58 tff(f49947,plain,(
% 58.13/9.58 semilattice_inf(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9321])).
% 58.13/9.58 tff(f9321,axiom,(
% 58.13/9.58 semilattice_inf(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__inf_141)).
% 58.13/9.58 tff(f81796,plain,(
% 58.13/9.58 spl5880_670),
% 58.13/9.58 inference(avatar_split_clause,[],[f49946,f81793])).
% 58.13/9.58 tff(f81793,plain,(
% 58.13/9.58 spl5880_670 <=> semilattice_inf(extended_enat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_670])])).
% 58.13/9.58 tff(f49946,plain,(
% 58.13/9.58 semilattice_inf(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9660])).
% 58.13/9.58 tff(f9660,axiom,(
% 58.13/9.58 semilattice_inf(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__inf_450)).
% 58.13/9.58 tff(f81791,plain,(
% 58.13/9.58 spl5880_669),
% 58.13/9.58 inference(avatar_split_clause,[],[f49945,f81788])).
% 58.13/9.58 tff(f81788,plain,(
% 58.13/9.58 spl5880_669 <=> semilattice_inf(product_unit)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_669])])).
% 58.13/9.58 tff(f49945,plain,(
% 58.13/9.58 semilattice_inf(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9709])).
% 58.13/9.58 tff(f9709,axiom,(
% 58.13/9.58 semilattice_inf(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__inf_499)).
% 58.13/9.58 tff(f81786,plain,(
% 58.13/9.58 spl5880_668),
% 58.13/9.58 inference(avatar_split_clause,[],[f49944,f81783])).
% 58.13/9.58 tff(f81783,plain,(
% 58.13/9.58 spl5880_668 <=> lattice(nat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_668])])).
% 58.13/9.58 tff(f49944,plain,(
% 58.13/9.58 lattice(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9264])).
% 58.13/9.58 tff(f9264,axiom,(
% 58.13/9.58 lattice(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Olattice_89)).
% 58.13/9.58 tff(f81781,plain,(
% 58.13/9.58 spl5880_667),
% 58.13/9.58 inference(avatar_split_clause,[],[f49943,f81778])).
% 58.13/9.58 tff(f81778,plain,(
% 58.13/9.58 spl5880_667 <=> lattice(real)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_667])])).
% 58.13/9.58 tff(f49943,plain,(
% 58.13/9.58 lattice(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9527])).
% 58.13/9.58 tff(f9527,axiom,(
% 58.13/9.58 lattice(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Olattice_318)).
% 58.13/9.58 tff(f81776,plain,(
% 58.13/9.58 spl5880_666),
% 58.13/9.58 inference(avatar_split_clause,[],[f49942,f81773])).
% 58.13/9.58 tff(f81773,plain,(
% 58.13/9.58 spl5880_666 <=> lattice($o)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_666])])).
% 58.13/9.58 tff(f49942,plain,(
% 58.13/9.58 lattice($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9416])).
% 58.13/9.58 tff(f9416,axiom,(
% 58.13/9.58 lattice($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Olattice_229)).
% 58.13/9.58 tff(f81771,plain,(
% 58.13/9.58 spl5880_665),
% 58.13/9.58 inference(avatar_split_clause,[],[f49941,f81768])).
% 58.13/9.58 tff(f81768,plain,(
% 58.13/9.58 spl5880_665 <=> lattice(int)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_665])])).
% 58.13/9.58 tff(f49941,plain,(
% 58.13/9.58 lattice(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9162])).
% 58.13/9.58 tff(f9162,axiom,(
% 58.13/9.58 lattice(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Olattice_10)).
% 58.13/9.58 tff(f81766,plain,(
% 58.13/9.58 spl5880_664),
% 58.13/9.58 inference(avatar_split_clause,[],[f49940,f81763])).
% 58.13/9.58 tff(f81763,plain,(
% 58.13/9.58 spl5880_664 <=> lattice(rat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_664])])).
% 58.13/9.58 tff(f49940,plain,(
% 58.13/9.58 lattice(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9359])).
% 58.13/9.58 tff(f9359,axiom,(
% 58.13/9.58 lattice(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Olattice_174)).
% 58.13/9.58 tff(f81761,plain,(
% 58.13/9.58 spl5880_663),
% 58.13/9.58 inference(avatar_split_clause,[],[f49939,f81758])).
% 58.13/9.58 tff(f81758,plain,(
% 58.13/9.58 spl5880_663 <=> lattice(extended_enat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_663])])).
% 58.13/9.58 tff(f49939,plain,(
% 58.13/9.58 lattice(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9684])).
% 58.13/9.58 tff(f9684,axiom,(
% 58.13/9.58 lattice(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Olattice_474)).
% 58.13/9.58 tff(f81756,plain,(
% 58.13/9.58 spl5880_662),
% 58.13/9.58 inference(avatar_split_clause,[],[f49938,f81753])).
% 58.13/9.58 tff(f81753,plain,(
% 58.13/9.58 spl5880_662 <=> lattice(product_unit)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_662])])).
% 58.13/9.58 tff(f49938,plain,(
% 58.13/9.58 lattice(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9715])).
% 58.13/9.58 tff(f9715,axiom,(
% 58.13/9.58 lattice(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Olattice_505)).
% 58.13/9.58 tff(f81751,plain,(
% 58.13/9.58 spl5880_661),
% 58.13/9.58 inference(avatar_split_clause,[],[f49937,f81748])).
% 58.13/9.58 tff(f49937,plain,(
% 58.13/9.58 linorder(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9258])).
% 58.13/9.58 tff(f9258,axiom,(
% 58.13/9.58 linorder(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Olinorder_83)).
% 58.13/9.58 tff(f81746,plain,(
% 58.13/9.58 spl5880_660),
% 58.13/9.58 inference(avatar_split_clause,[],[f49936,f81743])).
% 58.13/9.58 tff(f49936,plain,(
% 58.13/9.58 linorder(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9517])).
% 58.13/9.58 tff(f9517,axiom,(
% 58.13/9.58 linorder(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_309)).
% 58.13/9.58 tff(f81741,plain,(
% 58.13/9.58 spl5880_659),
% 58.13/9.58 inference(avatar_split_clause,[],[f49935,f81738])).
% 58.13/9.58 tff(f49935,plain,(
% 58.13/9.58 linorder($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9415])).
% 58.13/9.58 tff(f9415,axiom,(
% 58.13/9.58 linorder($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Olinorder_228)).
% 58.13/9.58 tff(f81736,plain,(
% 58.13/9.58 spl5880_658),
% 58.13/9.58 inference(avatar_split_clause,[],[f49934,f81733])).
% 58.13/9.58 tff(f49934,plain,(
% 58.13/9.58 linorder(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9152])).
% 58.13/9.58 tff(f9152,axiom,(
% 58.13/9.58 linorder(int)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Olinorder)).
% 58.13/9.58 tff(f81731,plain,(
% 58.13/9.58 spl5880_657),
% 58.13/9.58 inference(avatar_split_clause,[],[f49933,f81728])).
% 58.13/9.58 tff(f49933,plain,(
% 58.13/9.58 linorder(num)),
% 58.13/9.58 inference(cnf_transformation,[],[f9280])).
% 58.13/9.58 tff(f9280,axiom,(
% 58.13/9.58 linorder(num)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Olinorder_104)).
% 58.13/9.58 tff(f81726,plain,(
% 58.13/9.58 spl5880_656),
% 58.13/9.58 inference(avatar_split_clause,[],[f49932,f81723])).
% 58.13/9.58 tff(f49932,plain,(
% 58.13/9.58 linorder(code_integer)),
% 58.13/9.58 inference(cnf_transformation,[],[f9791])).
% 58.13/9.58 tff(f9791,axiom,(
% 58.13/9.58 linorder(code_integer)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Olinorder_581)).
% 58.13/9.58 tff(f81721,plain,(
% 58.13/9.58 spl5880_655),
% 58.13/9.58 inference(avatar_split_clause,[],[f49931,f81718])).
% 58.13/9.58 tff(f49931,plain,(
% 58.13/9.58 linorder(rat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9350])).
% 58.13/9.58 tff(f9350,axiom,(
% 58.13/9.58 linorder(rat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Olinorder_165)).
% 58.13/9.58 tff(f81716,plain,(
% 58.13/9.58 spl5880_654),
% 58.13/9.58 inference(avatar_split_clause,[],[f49930,f81713])).
% 58.13/9.58 tff(f49930,plain,(
% 58.13/9.58 linorder(extended_enat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9679])).
% 58.13/9.58 tff(f9679,axiom,(
% 58.13/9.58 linorder(extended_enat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_469)).
% 58.13/9.58 tff(f81711,plain,(
% 58.13/9.58 spl5880_653),
% 58.13/9.58 inference(avatar_split_clause,[],[f49929,f81708])).
% 58.13/9.58 tff(f49929,plain,(
% 58.13/9.58 linorder(product_unit)),
% 58.13/9.58 inference(cnf_transformation,[],[f9714])).
% 58.13/9.58 tff(f9714,axiom,(
% 58.13/9.58 linorder(product_unit)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Olinorder_504)).
% 58.13/9.58 tff(f81706,plain,(
% 58.13/9.58 spl5880_652),
% 58.13/9.58 inference(avatar_split_clause,[],[f49928,f81703])).
% 58.13/9.58 tff(f81703,plain,(
% 58.13/9.58 spl5880_652 <=> condit1219197933456340205attice(nat)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_652])])).
% 58.13/9.58 tff(f49928,plain,(
% 58.13/9.58 condit1219197933456340205attice(nat)),
% 58.13/9.58 inference(cnf_transformation,[],[f9187])).
% 58.13/9.58 tff(f9187,axiom,(
% 58.13/9.58 condit1219197933456340205attice(nat)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_16)).
% 58.13/9.58 tff(f81701,plain,(
% 58.13/9.58 spl5880_651),
% 58.13/9.58 inference(avatar_split_clause,[],[f49927,f81698])).
% 58.13/9.58 tff(f81698,plain,(
% 58.13/9.58 spl5880_651 <=> condit1219197933456340205attice(real)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_651])])).
% 58.13/9.58 tff(f49927,plain,(
% 58.13/9.58 condit1219197933456340205attice(real)),
% 58.13/9.58 inference(cnf_transformation,[],[f9423])).
% 58.13/9.58 tff(f9423,axiom,(
% 58.13/9.58 condit1219197933456340205attice(real)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_236)).
% 58.13/9.58 tff(f81696,plain,(
% 58.13/9.58 spl5880_650),
% 58.13/9.58 inference(avatar_split_clause,[],[f49926,f81693])).
% 58.13/9.58 tff(f81693,plain,(
% 58.13/9.58 spl5880_650 <=> condit1219197933456340205attice($o)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_650])])).
% 58.13/9.58 tff(f49926,plain,(
% 58.13/9.58 condit1219197933456340205attice($o)),
% 58.13/9.58 inference(cnf_transformation,[],[f9399])).
% 58.13/9.58 tff(f9399,axiom,(
% 58.13/9.58 condit1219197933456340205attice($o)),
% 58.13/9.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_212)).
% 58.13/9.58 tff(f81691,plain,(
% 58.13/9.58 spl5880_649),
% 58.13/9.58 inference(avatar_split_clause,[],[f49925,f81688])).
% 58.13/9.58 tff(f81688,plain,(
% 58.13/9.58 spl5880_649 <=> condit1219197933456340205attice(int)),
% 58.13/9.58 introduced(avatar_definition,[new_symbols(naming,[spl5880_649])])).
% 58.13/9.58 tff(f49925,plain,(
% 58.13/9.58 condit1219197933456340205attice(int)),
% 58.13/9.58 inference(cnf_transformation,[],[f9068])).
% 58.13/9.59 tff(f9068,axiom,(
% 58.13/9.59 condit1219197933456340205attice(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_6)).
% 58.13/9.59 tff(f81686,plain,(
% 58.13/9.59 spl5880_648),
% 58.13/9.59 inference(avatar_split_clause,[],[f49924,f81683])).
% 58.13/9.59 tff(f81683,plain,(
% 58.13/9.59 spl5880_648 <=> condit1219197933456340205attice(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_648])])).
% 58.13/9.59 tff(f49924,plain,(
% 58.13/9.59 condit1219197933456340205attice(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9643])).
% 58.13/9.59 tff(f9643,axiom,(
% 58.13/9.59 condit1219197933456340205attice(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_434)).
% 58.13/9.59 tff(f81681,plain,(
% 58.13/9.59 spl5880_647),
% 58.13/9.59 inference(avatar_split_clause,[],[f49923,f81678])).
% 58.13/9.59 tff(f81678,plain,(
% 58.13/9.59 spl5880_647 <=> condit1219197933456340205attice(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_647])])).
% 58.13/9.59 tff(f49923,plain,(
% 58.13/9.59 condit1219197933456340205attice(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9700])).
% 58.13/9.59 tff(f9700,axiom,(
% 58.13/9.59 condit1219197933456340205attice(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_490)).
% 58.13/9.59 tff(f81676,plain,(
% 58.13/9.59 spl5880_646),
% 58.13/9.59 inference(avatar_split_clause,[],[f49922,f81673])).
% 58.13/9.59 tff(f81673,plain,(
% 58.13/9.59 spl5880_646 <=> uminus(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_646])])).
% 58.13/9.59 tff(f49922,plain,(
% 58.13/9.59 uminus(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9537])).
% 58.13/9.59 tff(f9537,axiom,(
% 58.13/9.59 uminus(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ouminus_328)).
% 58.13/9.59 tff(f81671,plain,(
% 58.13/9.59 spl5880_645),
% 58.13/9.59 inference(avatar_split_clause,[],[f49921,f81668])).
% 58.13/9.59 tff(f81668,plain,(
% 58.13/9.59 spl5880_645 <=> uminus($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_645])])).
% 58.13/9.59 tff(f49921,plain,(
% 58.13/9.59 uminus($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9419])).
% 58.13/9.59 tff(f9419,axiom,(
% 58.13/9.59 uminus($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ouminus_232)).
% 58.13/9.59 tff(f81666,plain,(
% 58.13/9.59 spl5880_644),
% 58.13/9.59 inference(avatar_split_clause,[],[f49920,f81663])).
% 58.13/9.59 tff(f81663,plain,(
% 58.13/9.59 spl5880_644 <=> uminus(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_644])])).
% 58.13/9.59 tff(f49920,plain,(
% 58.13/9.59 uminus(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9173])).
% 58.13/9.59 tff(f9173,axiom,(
% 58.13/9.59 uminus(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ouminus_13)).
% 58.13/9.59 tff(f81661,plain,(
% 58.13/9.59 spl5880_643),
% 58.13/9.59 inference(avatar_split_clause,[],[f49919,f81658])).
% 58.13/9.59 tff(f81658,plain,(
% 58.13/9.59 spl5880_643 <=> uminus(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_643])])).
% 58.13/9.59 tff(f49919,plain,(
% 58.13/9.59 uminus(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9630])).
% 58.13/9.59 tff(f9630,axiom,(
% 58.13/9.59 uminus(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ouminus_421)).
% 58.13/9.59 tff(f81656,plain,(
% 58.13/9.59 spl5880_642),
% 58.13/9.59 inference(avatar_split_clause,[],[f49918,f81653])).
% 58.13/9.59 tff(f81653,plain,(
% 58.13/9.59 spl5880_642 <=> uminus(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_642])])).
% 58.13/9.59 tff(f49918,plain,(
% 58.13/9.59 uminus(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9807])).
% 58.13/9.59 tff(f9807,axiom,(
% 58.13/9.59 uminus(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ouminus_597)).
% 58.13/9.59 tff(f81651,plain,(
% 58.13/9.59 spl5880_641),
% 58.13/9.59 inference(avatar_split_clause,[],[f49917,f81648])).
% 58.13/9.59 tff(f81648,plain,(
% 58.13/9.59 spl5880_641 <=> uminus(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_641])])).
% 58.13/9.59 tff(f49917,plain,(
% 58.13/9.59 uminus(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9369])).
% 58.13/9.59 tff(f9369,axiom,(
% 58.13/9.59 uminus(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ouminus_183)).
% 58.13/9.59 tff(f81646,plain,(
% 58.13/9.59 spl5880_640),
% 58.13/9.59 inference(avatar_split_clause,[],[f49916,f81643])).
% 58.13/9.59 tff(f81643,plain,(
% 58.13/9.59 spl5880_640 <=> uminus(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_640])])).
% 58.13/9.59 tff(f49916,plain,(
% 58.13/9.59 uminus(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9718])).
% 58.13/9.59 tff(f9718,axiom,(
% 58.13/9.59 uminus(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ouminus_508)).
% 58.13/9.59 tff(f81641,plain,(
% 58.13/9.59 spl5880_639),
% 58.13/9.59 inference(avatar_split_clause,[],[f49915,f81638])).
% 58.13/9.59 tff(f81638,plain,(
% 58.13/9.59 spl5880_639 <=> semiring_1(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_639])])).
% 58.13/9.59 tff(f49915,plain,(
% 58.13/9.59 semiring_1(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9261])).
% 58.13/9.59 tff(f9261,axiom,(
% 58.13/9.59 semiring_1(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1_86)).
% 58.13/9.59 tff(f81636,plain,(
% 58.13/9.59 spl5880_638),
% 58.13/9.59 inference(avatar_split_clause,[],[f49914,f81633])).
% 58.13/9.59 tff(f49914,plain,(
% 58.13/9.59 semiring_1(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9523])).
% 58.13/9.59 tff(f9523,axiom,(
% 58.13/9.59 semiring_1(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1_314)).
% 58.13/9.59 tff(f81631,plain,(
% 58.13/9.59 spl5880_637),
% 58.13/9.59 inference(avatar_split_clause,[],[f49913,f81628])).
% 58.13/9.59 tff(f49913,plain,(
% 58.13/9.59 semiring_1(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9158])).
% 58.13/9.59 tff(f9158,axiom,(
% 58.13/9.59 semiring_1(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1)).
% 58.13/9.59 tff(f81626,plain,(
% 58.13/9.59 spl5880_636),
% 58.13/9.59 inference(avatar_split_clause,[],[f49912,f81623])).
% 58.13/9.59 tff(f81623,plain,(
% 58.13/9.59 spl5880_636 <=> semiring_1(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_636])])).
% 58.13/9.59 tff(f49912,plain,(
% 58.13/9.59 semiring_1(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9621])).
% 58.13/9.59 tff(f9621,axiom,(
% 58.13/9.59 semiring_1(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1_412)).
% 58.13/9.59 tff(f81621,plain,(
% 58.13/9.59 spl5880_635),
% 58.13/9.59 inference(avatar_split_clause,[],[f49911,f81618])).
% 58.13/9.59 tff(f81618,plain,(
% 58.13/9.59 spl5880_635 <=> semiring_1(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_635])])).
% 58.13/9.59 tff(f49911,plain,(
% 58.13/9.59 semiring_1(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9355])).
% 58.13/9.59 tff(f9355,axiom,(
% 58.13/9.59 semiring_1(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1_170)).
% 58.13/9.59 tff(f81616,plain,(
% 58.13/9.59 spl5880_634),
% 58.13/9.59 inference(avatar_split_clause,[],[f49910,f81613])).
% 58.13/9.59 tff(f81613,plain,(
% 58.13/9.59 spl5880_634 <=> semiring_1(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_634])])).
% 58.13/9.59 tff(f49910,plain,(
% 58.13/9.59 semiring_1(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9797])).
% 58.13/9.59 tff(f9797,axiom,(
% 58.13/9.59 semiring_1(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1_587)).
% 58.13/9.59 tff(f81611,plain,(
% 58.13/9.59 spl5880_633),
% 58.13/9.59 inference(avatar_split_clause,[],[f49909,f81608])).
% 58.13/9.59 tff(f81608,plain,(
% 58.13/9.59 spl5880_633 <=> semiring_1(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_633])])).
% 58.13/9.59 tff(f49909,plain,(
% 58.13/9.59 semiring_1(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9682])).
% 58.13/9.59 tff(f9682,axiom,(
% 58.13/9.59 semiring_1(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__1_472)).
% 58.13/9.59 tff(f81606,plain,(
% 58.13/9.59 spl5880_632),
% 58.13/9.59 inference(avatar_split_clause,[],[f49908,f81603])).
% 58.13/9.59 tff(f81603,plain,(
% 58.13/9.59 spl5880_632 <=> plus(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_632])])).
% 58.13/9.59 tff(f49908,plain,(
% 58.13/9.59 plus(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9275])).
% 58.13/9.59 tff(f9275,axiom,(
% 58.13/9.59 plus(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oplus_100)).
% 58.13/9.59 tff(f81601,plain,(
% 58.13/9.59 spl5880_631),
% 58.13/9.59 inference(avatar_split_clause,[],[f49907,f81598])).
% 58.13/9.59 tff(f81598,plain,(
% 58.13/9.59 spl5880_631 <=> plus(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_631])])).
% 58.13/9.59 tff(f49907,plain,(
% 58.13/9.59 plus(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9545])).
% 58.13/9.59 tff(f9545,axiom,(
% 58.13/9.59 plus(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oplus_336)).
% 58.13/9.59 tff(f81596,plain,(
% 58.13/9.59 spl5880_630),
% 58.13/9.59 inference(avatar_split_clause,[],[f49906,f81593])).
% 58.13/9.59 tff(f81593,plain,(
% 58.13/9.59 spl5880_630 <=> plus(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_630])])).
% 58.13/9.59 tff(f49906,plain,(
% 58.13/9.59 plus(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9181])).
% 58.13/9.59 tff(f9181,axiom,(
% 58.13/9.59 plus(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oplus)).
% 58.13/9.59 tff(f81591,plain,(
% 58.13/9.59 spl5880_629),
% 58.13/9.59 inference(avatar_split_clause,[],[f49905,f81588])).
% 58.13/9.59 tff(f81588,plain,(
% 58.13/9.59 spl5880_629 <=> plus(num)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_629])])).
% 58.13/9.59 tff(f49905,plain,(
% 58.13/9.59 plus(num)),
% 58.13/9.59 inference(cnf_transformation,[],[f9283])).
% 58.13/9.59 tff(f9283,axiom,(
% 58.13/9.59 plus(num)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Groups_Oplus_107)).
% 58.13/9.59 tff(f81586,plain,(
% 58.13/9.59 spl5880_628),
% 58.13/9.59 inference(avatar_split_clause,[],[f49904,f81583])).
% 58.13/9.59 tff(f81583,plain,(
% 58.13/9.59 spl5880_628 <=> plus(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_628])])).
% 58.13/9.59 tff(f49904,plain,(
% 58.13/9.59 plus(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9637])).
% 58.13/9.59 tff(f9637,axiom,(
% 58.13/9.59 plus(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oplus_428)).
% 58.13/9.59 tff(f81581,plain,(
% 58.13/9.59 spl5880_627),
% 58.13/9.59 inference(avatar_split_clause,[],[f49903,f81578])).
% 58.13/9.59 tff(f81578,plain,(
% 58.13/9.59 spl5880_627 <=> plus(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_627])])).
% 58.13/9.59 tff(f49903,plain,(
% 58.13/9.59 plus(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9814])).
% 58.13/9.59 tff(f9814,axiom,(
% 58.13/9.59 plus(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oplus_604)).
% 58.13/9.59 tff(f81576,plain,(
% 58.13/9.59 spl5880_626),
% 58.13/9.59 inference(avatar_split_clause,[],[f49902,f81573])).
% 58.13/9.59 tff(f81573,plain,(
% 58.13/9.59 spl5880_626 <=> plus(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_626])])).
% 58.13/9.59 tff(f49902,plain,(
% 58.13/9.59 plus(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9377])).
% 58.13/9.59 tff(f9377,axiom,(
% 58.13/9.59 plus(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oplus_190)).
% 58.13/9.59 tff(f81571,plain,(
% 58.13/9.59 spl5880_625),
% 58.13/9.59 inference(avatar_split_clause,[],[f49901,f81568])).
% 58.13/9.59 tff(f81568,plain,(
% 58.13/9.59 spl5880_625 <=> plus(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_625])])).
% 58.13/9.59 tff(f49901,plain,(
% 58.13/9.59 plus(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9693])).
% 58.13/9.59 tff(f9693,axiom,(
% 58.13/9.59 plus(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oplus_483)).
% 58.13/9.59 tff(f81566,plain,(
% 58.13/9.59 spl5880_624),
% 58.13/9.59 inference(avatar_split_clause,[],[f49900,f81563])).
% 58.13/9.59 tff(f81563,plain,(
% 58.13/9.59 spl5880_624 <=> size(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_624])])).
% 58.13/9.59 tff(f49900,plain,(
% 58.13/9.59 size(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9278])).
% 58.13/9.59 tff(f9278,axiom,(
% 58.13/9.59 size(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osize)).
% 58.13/9.59 tff(f81561,plain,(
% 58.13/9.59 spl5880_623),
% 58.13/9.59 inference(avatar_split_clause,[],[f49899,f81558])).
% 58.13/9.59 tff(f81558,plain,(
% 58.13/9.59 spl5880_623 <=> size(num)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_623])])).
% 58.13/9.59 tff(f49899,plain,(
% 58.13/9.59 size(num)),
% 58.13/9.59 inference(cnf_transformation,[],[f9284])).
% 58.13/9.59 tff(f9284,axiom,(
% 58.13/9.59 size(num)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Nat_Osize_108)).
% 58.13/9.59 tff(f81556,plain,(
% 58.13/9.59 spl5880_622),
% 58.13/9.59 inference(avatar_split_clause,[],[f49898,f81553])).
% 58.13/9.59 tff(f81553,plain,(
% 58.13/9.59 spl5880_622 <=> size(vEBT_VEBT)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_622])])).
% 58.13/9.59 tff(f49898,plain,(
% 58.13/9.59 size(vEBT_VEBT)),
% 58.13/9.59 inference(cnf_transformation,[],[f9819])).
% 58.13/9.59 tff(f9819,axiom,(
% 58.13/9.59 size(vEBT_VEBT)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_VEBT__Definitions_OVEBT___Nat_Osize_609)).
% 58.13/9.59 tff(f81551,plain,(
% 58.13/9.59 spl5880_621),
% 58.13/9.59 inference(avatar_split_clause,[],[f49897,f81548])).
% 58.13/9.59 tff(f81548,plain,(
% 58.13/9.59 spl5880_621 <=> size(char)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_621])])).
% 58.13/9.59 tff(f49897,plain,(
% 58.13/9.59 size(char)),
% 58.13/9.59 inference(cnf_transformation,[],[f9550])).
% 58.13/9.59 tff(f9550,axiom,(
% 58.13/9.59 size(char)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Ochar___Nat_Osize_341)).
% 58.13/9.59 tff(f81546,plain,(
% 58.13/9.59 spl5880_620),
% 58.13/9.59 inference(avatar_split_clause,[],[f49896,f81543])).
% 58.13/9.59 tff(f81543,plain,(
% 58.13/9.59 spl5880_620 <=> comm_monoid_mult(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_620])])).
% 58.13/9.59 tff(f49896,plain,(
% 58.13/9.59 comm_monoid_mult(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9237])).
% 58.13/9.59 tff(f9237,axiom,(
% 58.13/9.59 comm_monoid_mult(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__mult_64)).
% 58.13/9.59 tff(f81541,plain,(
% 58.13/9.59 spl5880_619),
% 58.13/9.59 inference(avatar_split_clause,[],[f49895,f81538])).
% 58.13/9.59 tff(f81538,plain,(
% 58.13/9.59 spl5880_619 <=> comm_monoid_mult(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_619])])).
% 58.13/9.59 tff(f49895,plain,(
% 58.13/9.59 comm_monoid_mult(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9491])).
% 58.13/9.59 tff(f9491,axiom,(
% 58.13/9.59 comm_monoid_mult(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__mult_283)).
% 58.13/9.59 tff(f81536,plain,(
% 58.13/9.59 spl5880_618),
% 58.13/9.59 inference(avatar_split_clause,[],[f49894,f81533])).
% 58.13/9.59 tff(f49894,plain,(
% 58.13/9.59 comm_monoid_mult(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9127])).
% 58.13/9.59 tff(f9127,axiom,(
% 58.13/9.59 comm_monoid_mult(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__mult)).
% 58.13/9.59 tff(f81531,plain,(
% 58.13/9.59 spl5880_617),
% 58.13/9.59 inference(avatar_split_clause,[],[f49893,f81528])).
% 58.13/9.59 tff(f81528,plain,(
% 58.13/9.59 spl5880_617 <=> comm_monoid_mult(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_617])])).
% 58.13/9.59 tff(f49893,plain,(
% 58.13/9.59 comm_monoid_mult(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9600])).
% 58.13/9.59 tff(f9600,axiom,(
% 58.13/9.59 comm_monoid_mult(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__mult_391)).
% 58.13/9.59 tff(f81526,plain,(
% 58.13/9.59 spl5880_616),
% 58.13/9.59 inference(avatar_split_clause,[],[f49892,f81523])).
% 58.13/9.59 tff(f81523,plain,(
% 58.13/9.59 spl5880_616 <=> comm_monoid_mult(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_616])])).
% 58.13/9.59 tff(f49892,plain,(
% 58.13/9.59 comm_monoid_mult(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9766])).
% 58.13/9.59 tff(f9766,axiom,(
% 58.13/9.59 comm_monoid_mult(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__mult_556)).
% 58.13/9.59 tff(f81521,plain,(
% 58.13/9.59 spl5880_615),
% 58.13/9.59 inference(avatar_split_clause,[],[f49891,f81518])).
% 58.13/9.59 tff(f81518,plain,(
% 58.13/9.59 spl5880_615 <=> comm_monoid_mult(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_615])])).
% 58.13/9.59 tff(f49891,plain,(
% 58.13/9.59 comm_monoid_mult(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9324])).
% 58.13/9.59 tff(f9324,axiom,(
% 58.13/9.59 comm_monoid_mult(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__mult_144)).
% 58.13/9.59 tff(f81516,plain,(
% 58.13/9.59 spl5880_614),
% 58.13/9.59 inference(avatar_split_clause,[],[f49890,f81513])).
% 58.13/9.59 tff(f81513,plain,(
% 58.13/9.59 spl5880_614 <=> comm_monoid_mult(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_614])])).
% 58.13/9.59 tff(f49890,plain,(
% 58.13/9.59 comm_monoid_mult(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9662])).
% 58.13/9.59 tff(f9662,axiom,(
% 58.13/9.59 comm_monoid_mult(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__mult_452)).
% 58.13/9.59 tff(f81511,plain,(
% 58.13/9.59 spl5880_613),
% 58.13/9.59 inference(avatar_split_clause,[],[f49889,f81508])).
% 58.13/9.59 tff(f81508,plain,(
% 58.13/9.59 spl5880_613 <=> comm_monoid_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_613])])).
% 58.13/9.59 tff(f49889,plain,(
% 58.13/9.59 comm_monoid_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9242])).
% 58.13/9.59 tff(f9242,axiom,(
% 58.13/9.59 comm_monoid_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add_68)).
% 58.13/9.59 tff(f81506,plain,(
% 58.13/9.59 spl5880_612),
% 58.13/9.59 inference(avatar_split_clause,[],[f49888,f81503])).
% 58.13/9.59 tff(f81503,plain,(
% 58.13/9.59 spl5880_612 <=> comm_monoid_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_612])])).
% 58.13/9.59 tff(f49888,plain,(
% 58.13/9.59 comm_monoid_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9496])).
% 58.13/9.59 tff(f9496,axiom,(
% 58.13/9.59 comm_monoid_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__add_288)).
% 58.13/9.59 tff(f81501,plain,(
% 58.13/9.59 spl5880_611),
% 58.13/9.59 inference(avatar_split_clause,[],[f49887,f81498])).
% 58.13/9.59 tff(f81498,plain,(
% 58.13/9.59 spl5880_611 <=> comm_monoid_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_611])])).
% 58.13/9.59 tff(f49887,plain,(
% 58.13/9.59 comm_monoid_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9132])).
% 58.13/9.59 tff(f9132,axiom,(
% 58.13/9.59 comm_monoid_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__add)).
% 58.13/9.59 tff(f81496,plain,(
% 58.13/9.59 spl5880_610),
% 58.13/9.59 inference(avatar_split_clause,[],[f49886,f81493])).
% 58.13/9.59 tff(f81493,plain,(
% 58.13/9.59 spl5880_610 <=> comm_monoid_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_610])])).
% 58.13/9.59 tff(f49886,plain,(
% 58.13/9.59 comm_monoid_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9602])).
% 58.13/9.59 tff(f9602,axiom,(
% 58.13/9.59 comm_monoid_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__add_393)).
% 58.13/9.59 tff(f81491,plain,(
% 58.13/9.59 spl5880_609),
% 58.13/9.59 inference(avatar_split_clause,[],[f49885,f81488])).
% 58.13/9.59 tff(f81488,plain,(
% 58.13/9.59 spl5880_609 <=> comm_monoid_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_609])])).
% 58.13/9.59 tff(f49885,plain,(
% 58.13/9.59 comm_monoid_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9771])).
% 58.13/9.59 tff(f9771,axiom,(
% 58.13/9.59 comm_monoid_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__add_561)).
% 58.13/9.59 tff(f81486,plain,(
% 58.13/9.59 spl5880_608),
% 58.13/9.59 inference(avatar_split_clause,[],[f49884,f81483])).
% 58.13/9.59 tff(f81483,plain,(
% 58.13/9.59 spl5880_608 <=> comm_monoid_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_608])])).
% 58.13/9.59 tff(f49884,plain,(
% 58.13/9.59 comm_monoid_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9329])).
% 58.13/9.59 tff(f9329,axiom,(
% 58.13/9.59 comm_monoid_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__add_148)).
% 58.13/9.59 tff(f81481,plain,(
% 58.13/9.59 spl5880_607),
% 58.13/9.59 inference(avatar_split_clause,[],[f49883,f81478])).
% 58.13/9.59 tff(f81478,plain,(
% 58.13/9.59 spl5880_607 <=> comm_monoid_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_607])])).
% 58.13/9.59 tff(f49883,plain,(
% 58.13/9.59 comm_monoid_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9665])).
% 58.13/9.59 tff(f9665,axiom,(
% 58.13/9.59 comm_monoid_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__add_455)).
% 58.13/9.59 tff(f81476,plain,(
% 58.13/9.59 spl5880_606),
% 58.13/9.59 inference(avatar_split_clause,[],[f49882,f81473])).
% 58.13/9.59 tff(f81473,plain,(
% 58.13/9.59 spl5880_606 <=> monoid_mult(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_606])])).
% 58.13/9.59 tff(f49882,plain,(
% 58.13/9.59 monoid_mult(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9259])).
% 58.13/9.59 tff(f9259,axiom,(
% 58.13/9.59 monoid_mult(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__mult_84)).
% 58.13/9.59 tff(f81471,plain,(
% 58.13/9.59 spl5880_605),
% 58.13/9.59 inference(avatar_split_clause,[],[f49881,f81468])).
% 58.13/9.59 tff(f81468,plain,(
% 58.13/9.59 spl5880_605 <=> monoid_mult(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_605])])).
% 58.13/9.59 tff(f49881,plain,(
% 58.13/9.59 monoid_mult(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9518])).
% 58.13/9.59 tff(f9518,axiom,(
% 58.13/9.59 monoid_mult(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__mult_310)).
% 58.13/9.59 tff(f81466,plain,(
% 58.13/9.59 spl5880_604),
% 58.13/9.59 inference(avatar_split_clause,[],[f49880,f81463])).
% 58.13/9.59 tff(f81463,plain,(
% 58.13/9.59 spl5880_604 <=> monoid_mult(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_604])])).
% 58.13/9.59 tff(f49880,plain,(
% 58.13/9.59 monoid_mult(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9153])).
% 58.13/9.59 tff(f9153,axiom,(
% 58.13/9.59 monoid_mult(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__mult)).
% 58.13/9.59 tff(f81461,plain,(
% 58.13/9.59 spl5880_603),
% 58.13/9.59 inference(avatar_split_clause,[],[f49879,f81458])).
% 58.13/9.59 tff(f81458,plain,(
% 58.13/9.59 spl5880_603 <=> monoid_mult(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_603])])).
% 58.13/9.59 tff(f49879,plain,(
% 58.13/9.59 monoid_mult(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9617])).
% 58.13/9.59 tff(f9617,axiom,(
% 58.13/9.59 monoid_mult(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__mult_408)).
% 58.13/9.59 tff(f81456,plain,(
% 58.13/9.59 spl5880_602),
% 58.13/9.59 inference(avatar_split_clause,[],[f49878,f81453])).
% 58.13/9.59 tff(f81453,plain,(
% 58.13/9.59 spl5880_602 <=> monoid_mult(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_602])])).
% 58.13/9.59 tff(f49878,plain,(
% 58.13/9.59 monoid_mult(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9792])).
% 58.13/9.59 tff(f9792,axiom,(
% 58.13/9.59 monoid_mult(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__mult_582)).
% 58.13/9.59 tff(f81451,plain,(
% 58.13/9.59 spl5880_601),
% 58.13/9.59 inference(avatar_split_clause,[],[f49877,f81448])).
% 58.13/9.59 tff(f81448,plain,(
% 58.13/9.59 spl5880_601 <=> monoid_mult(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_601])])).
% 58.13/9.59 tff(f49877,plain,(
% 58.13/9.59 monoid_mult(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9351])).
% 58.13/9.59 tff(f9351,axiom,(
% 58.13/9.59 monoid_mult(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__mult_166)).
% 58.13/9.59 tff(f81446,plain,(
% 58.13/9.59 spl5880_600),
% 58.13/9.59 inference(avatar_split_clause,[],[f49876,f81443])).
% 58.13/9.59 tff(f81443,plain,(
% 58.13/9.59 spl5880_600 <=> monoid_mult(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_600])])).
% 58.13/9.59 tff(f49876,plain,(
% 58.13/9.59 monoid_mult(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9680])).
% 58.13/9.59 tff(f9680,axiom,(
% 58.13/9.59 monoid_mult(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__mult_470)).
% 58.13/9.59 tff(f81441,plain,(
% 58.13/9.59 spl5880_599),
% 58.13/9.59 inference(avatar_split_clause,[],[f49875,f81438])).
% 58.13/9.59 tff(f81438,plain,(
% 58.13/9.59 spl5880_599 <=> comm_semiring_1(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_599])])).
% 58.13/9.59 tff(f49875,plain,(
% 58.13/9.59 comm_semiring_1(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9244])).
% 58.13/9.59 tff(f9244,axiom,(
% 58.13/9.59 comm_semiring_1(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1_70)).
% 58.13/9.59 tff(f81436,plain,(
% 58.13/9.59 spl5880_598),
% 58.13/9.59 inference(avatar_split_clause,[],[f49874,f81433])).
% 58.13/9.59 tff(f81433,plain,(
% 58.13/9.59 spl5880_598 <=> comm_semiring_1(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_598])])).
% 58.13/9.59 tff(f49874,plain,(
% 58.13/9.59 comm_semiring_1(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9499])).
% 58.13/9.59 tff(f9499,axiom,(
% 58.13/9.59 comm_semiring_1(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1_291)).
% 58.13/9.59 tff(f81431,plain,(
% 58.13/9.59 spl5880_597),
% 58.13/9.59 inference(avatar_split_clause,[],[f49873,f81428])).
% 58.13/9.59 tff(f81428,plain,(
% 58.13/9.59 spl5880_597 <=> comm_semiring_1(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_597])])).
% 58.13/9.59 tff(f49873,plain,(
% 58.13/9.59 comm_semiring_1(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9136])).
% 58.13/9.59 tff(f9136,axiom,(
% 58.13/9.59 comm_semiring_1(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1)).
% 58.13/9.59 tff(f81426,plain,(
% 58.13/9.59 spl5880_596),
% 58.13/9.59 inference(avatar_split_clause,[],[f49872,f81423])).
% 58.13/9.59 tff(f81423,plain,(
% 58.13/9.59 spl5880_596 <=> comm_semiring_1(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_596])])).
% 58.13/9.59 tff(f49872,plain,(
% 58.13/9.59 comm_semiring_1(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9603])).
% 58.13/9.59 tff(f9603,axiom,(
% 58.13/9.59 comm_semiring_1(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1_394)).
% 58.13/9.59 tff(f81421,plain,(
% 58.13/9.59 spl5880_595),
% 58.13/9.59 inference(avatar_split_clause,[],[f49871,f81418])).
% 58.13/9.59 tff(f81418,plain,(
% 58.13/9.59 spl5880_595 <=> comm_semiring_1(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_595])])).
% 58.13/9.59 tff(f49871,plain,(
% 58.13/9.59 comm_semiring_1(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9332])).
% 58.13/9.59 tff(f9332,axiom,(
% 58.13/9.59 comm_semiring_1(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1_151)).
% 58.13/9.59 tff(f81416,plain,(
% 58.13/9.59 spl5880_594),
% 58.13/9.59 inference(avatar_split_clause,[],[f49870,f81413])).
% 58.13/9.59 tff(f81413,plain,(
% 58.13/9.59 spl5880_594 <=> comm_semiring_1(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_594])])).
% 58.13/9.59 tff(f49870,plain,(
% 58.13/9.59 comm_semiring_1(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9775])).
% 58.13/9.59 tff(f9775,axiom,(
% 58.13/9.59 comm_semiring_1(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1_565)).
% 58.13/9.59 tff(f81411,plain,(
% 58.13/9.59 spl5880_593),
% 58.13/9.59 inference(avatar_split_clause,[],[f49869,f81408])).
% 58.13/9.59 tff(f81408,plain,(
% 58.13/9.59 spl5880_593 <=> comm_semiring_1(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_593])])).
% 58.13/9.59 tff(f49869,plain,(
% 58.13/9.59 comm_semiring_1(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9666])).
% 58.13/9.59 tff(f9666,axiom,(
% 58.13/9.59 comm_semiring_1(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__1_456)).
% 58.13/9.59 tff(f81406,plain,(
% 58.13/9.59 spl5880_592),
% 58.13/9.59 inference(avatar_split_clause,[],[f49868,f81403])).
% 58.13/9.59 tff(f49868,plain,(
% 58.13/9.59 semiring_char_0(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9255])).
% 58.13/9.59 tff(f9255,axiom,(
% 58.13/9.59 semiring_char_0(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osemiring__char__0_80)).
% 58.13/9.59 tff(f81401,plain,(
% 58.13/9.59 spl5880_591),
% 58.13/9.59 inference(avatar_split_clause,[],[f49867,f81398])).
% 58.13/9.59 tff(f81398,plain,(
% 58.13/9.59 spl5880_591 <=> semiring_char_0(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_591])])).
% 58.13/9.59 tff(f49867,plain,(
% 58.13/9.59 semiring_char_0(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9510])).
% 58.13/9.59 tff(f9510,axiom,(
% 58.13/9.59 semiring_char_0(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Osemiring__char__0_302)).
% 58.13/9.59 tff(f81396,plain,(
% 58.13/9.59 spl5880_590),
% 58.13/9.59 inference(avatar_split_clause,[],[f49866,f81393])).
% 58.13/9.59 tff(f81393,plain,(
% 58.13/9.59 spl5880_590 <=> semiring_char_0(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_590])])).
% 58.13/9.59 tff(f49866,plain,(
% 58.13/9.59 semiring_char_0(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9145])).
% 58.13/9.59 tff(f9145,axiom,(
% 58.13/9.59 semiring_char_0(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Osemiring__char__0)).
% 58.13/9.59 tff(f81391,plain,(
% 58.13/9.59 spl5880_589),
% 58.13/9.59 inference(avatar_split_clause,[],[f49865,f81388])).
% 58.13/9.59 tff(f81388,plain,(
% 58.13/9.59 spl5880_589 <=> semiring_char_0(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_589])])).
% 58.13/9.59 tff(f49865,plain,(
% 58.13/9.59 semiring_char_0(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9612])).
% 58.13/9.59 tff(f9612,axiom,(
% 58.13/9.59 semiring_char_0(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Osemiring__char__0_403)).
% 58.13/9.59 tff(f81386,plain,(
% 58.13/9.59 spl5880_588),
% 58.13/9.59 inference(avatar_split_clause,[],[f49864,f81383])).
% 58.13/9.59 tff(f81383,plain,(
% 58.13/9.59 spl5880_588 <=> semiring_char_0(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_588])])).
% 58.13/9.59 tff(f49864,plain,(
% 58.13/9.59 semiring_char_0(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9343])).
% 58.13/9.59 tff(f9343,axiom,(
% 58.13/9.59 semiring_char_0(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Osemiring__char__0_159)).
% 58.13/9.59 tff(f81381,plain,(
% 58.13/9.59 spl5880_587),
% 58.13/9.59 inference(avatar_split_clause,[],[f49863,f81378])).
% 58.13/9.59 tff(f81378,plain,(
% 58.13/9.59 spl5880_587 <=> semiring_char_0(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_587])])).
% 58.13/9.59 tff(f49863,plain,(
% 58.13/9.59 semiring_char_0(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9784])).
% 58.13/9.59 tff(f9784,axiom,(
% 58.13/9.59 semiring_char_0(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Osemiring__char__0_574)).
% 58.13/9.59 tff(f81376,plain,(
% 58.13/9.59 spl5880_586),
% 58.13/9.59 inference(avatar_split_clause,[],[f49862,f81373])).
% 58.13/9.59 tff(f81373,plain,(
% 58.13/9.59 spl5880_586 <=> semiring_char_0(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_586])])).
% 58.13/9.59 tff(f49862,plain,(
% 58.13/9.59 semiring_char_0(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9676])).
% 58.13/9.59 tff(f9676,axiom,(
% 58.13/9.59 semiring_char_0(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Nat_Osemiring__char__0_466)).
% 58.13/9.59 tff(f81371,plain,(
% 58.13/9.59 spl5880_585),
% 58.13/9.59 inference(avatar_split_clause,[],[f49861,f81368])).
% 58.13/9.59 tff(f81368,plain,(
% 58.13/9.59 spl5880_585 <=> numeral(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_585])])).
% 58.13/9.59 tff(f49861,plain,(
% 58.13/9.59 numeral(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9273])).
% 58.13/9.59 tff(f9273,axiom,(
% 58.13/9.59 numeral(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Onumeral_98)).
% 58.13/9.59 tff(f81366,plain,(
% 58.13/9.59 spl5880_584),
% 58.13/9.59 inference(avatar_split_clause,[],[f49860,f81363])).
% 58.13/9.59 tff(f81363,plain,(
% 58.13/9.59 spl5880_584 <=> numeral(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_584])])).
% 58.13/9.59 tff(f49860,plain,(
% 58.13/9.59 numeral(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9543])).
% 58.13/9.59 tff(f9543,axiom,(
% 58.13/9.59 numeral(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Onumeral_334)).
% 58.13/9.59 tff(f81361,plain,(
% 58.13/9.59 spl5880_583),
% 58.13/9.59 inference(avatar_split_clause,[],[f49859,f81358])).
% 58.13/9.59 tff(f81358,plain,(
% 58.13/9.59 spl5880_583 <=> numeral(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_583])])).
% 58.13/9.59 tff(f49859,plain,(
% 58.13/9.59 numeral(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9179])).
% 58.13/9.59 tff(f9179,axiom,(
% 58.13/9.59 numeral(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Onumeral)).
% 58.13/9.59 tff(f81356,plain,(
% 58.13/9.59 spl5880_582),
% 58.13/9.59 inference(avatar_split_clause,[],[f49858,f81353])).
% 58.13/9.59 tff(f81353,plain,(
% 58.13/9.59 spl5880_582 <=> numeral(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_582])])).
% 58.13/9.59 tff(f49858,plain,(
% 58.13/9.59 numeral(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9635])).
% 58.13/9.59 tff(f9635,axiom,(
% 58.13/9.59 numeral(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Onumeral_426)).
% 58.13/9.59 tff(f81351,plain,(
% 58.13/9.59 spl5880_581),
% 58.13/9.59 inference(avatar_split_clause,[],[f49857,f81348])).
% 58.13/9.59 tff(f81348,plain,(
% 58.13/9.59 spl5880_581 <=> numeral(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_581])])).
% 58.13/9.59 tff(f49857,plain,(
% 58.13/9.59 numeral(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9812])).
% 58.13/9.59 tff(f9812,axiom,(
% 58.13/9.59 numeral(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Onumeral_602)).
% 58.13/9.59 tff(f81346,plain,(
% 58.13/9.59 spl5880_580),
% 58.13/9.59 inference(avatar_split_clause,[],[f49856,f81343])).
% 58.13/9.59 tff(f81343,plain,(
% 58.13/9.59 spl5880_580 <=> numeral(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_580])])).
% 58.13/9.59 tff(f49856,plain,(
% 58.13/9.59 numeral(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9375])).
% 58.13/9.59 tff(f9375,axiom,(
% 58.13/9.59 numeral(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Onumeral_188)).
% 58.13/9.59 tff(f81341,plain,(
% 58.13/9.59 spl5880_579),
% 58.13/9.59 inference(avatar_split_clause,[],[f49855,f81338])).
% 58.13/9.59 tff(f81338,plain,(
% 58.13/9.59 spl5880_579 <=> numeral(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_579])])).
% 58.13/9.59 tff(f49855,plain,(
% 58.13/9.59 numeral(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9691])).
% 58.13/9.59 tff(f9691,axiom,(
% 58.13/9.59 numeral(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Onumeral_481)).
% 58.13/9.59 tff(f81336,plain,(
% 58.13/9.59 spl5880_578),
% 58.13/9.59 inference(avatar_split_clause,[],[f49854,f81333])).
% 58.13/9.59 tff(f81333,plain,(
% 58.13/9.59 spl5880_578 <=> power(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_578])])).
% 58.13/9.59 tff(f49854,plain,(
% 58.13/9.59 power(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9272])).
% 58.13/9.59 tff(f9272,axiom,(
% 58.13/9.59 power(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Power_Opower_97)).
% 58.13/9.59 tff(f81331,plain,(
% 58.13/9.59 spl5880_577),
% 58.13/9.59 inference(avatar_split_clause,[],[f49853,f81328])).
% 58.13/9.59 tff(f81328,plain,(
% 58.13/9.59 spl5880_577 <=> power(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_577])])).
% 58.13/9.59 tff(f49853,plain,(
% 58.13/9.59 power(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9542])).
% 58.13/9.59 tff(f9542,axiom,(
% 58.13/9.59 power(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Power_Opower_333)).
% 58.13/9.59 tff(f81326,plain,(
% 58.13/9.59 spl5880_576),
% 58.13/9.59 inference(avatar_split_clause,[],[f49852,f81323])).
% 58.13/9.59 tff(f81323,plain,(
% 58.13/9.59 spl5880_576 <=> power(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_576])])).
% 58.13/9.59 tff(f49852,plain,(
% 58.13/9.59 power(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9178])).
% 58.13/9.59 tff(f9178,axiom,(
% 58.13/9.59 power(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Power_Opower)).
% 58.13/9.59 tff(f81321,plain,(
% 58.13/9.59 spl5880_575),
% 58.13/9.59 inference(avatar_split_clause,[],[f49851,f81318])).
% 58.13/9.59 tff(f81318,plain,(
% 58.13/9.59 spl5880_575 <=> power(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_575])])).
% 58.13/9.59 tff(f49851,plain,(
% 58.13/9.59 power(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9634])).
% 58.13/9.59 tff(f9634,axiom,(
% 58.13/9.59 power(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Power_Opower_425)).
% 58.13/9.59 tff(f81316,plain,(
% 58.13/9.59 spl5880_574),
% 58.13/9.59 inference(avatar_split_clause,[],[f49850,f81313])).
% 58.13/9.59 tff(f81313,plain,(
% 58.13/9.59 spl5880_574 <=> power(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_574])])).
% 58.13/9.59 tff(f49850,plain,(
% 58.13/9.59 power(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9811])).
% 58.13/9.59 tff(f9811,axiom,(
% 58.13/9.59 power(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Power_Opower_601)).
% 58.13/9.59 tff(f81311,plain,(
% 58.13/9.59 spl5880_573),
% 58.13/9.59 inference(avatar_split_clause,[],[f49849,f81308])).
% 58.13/9.59 tff(f81308,plain,(
% 58.13/9.59 spl5880_573 <=> power(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_573])])).
% 58.13/9.59 tff(f49849,plain,(
% 58.13/9.59 power(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9374])).
% 58.13/9.59 tff(f9374,axiom,(
% 58.13/9.59 power(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Power_Opower_187)).
% 58.13/9.59 tff(f81306,plain,(
% 58.13/9.59 spl5880_572),
% 58.13/9.59 inference(avatar_split_clause,[],[f49848,f81303])).
% 58.13/9.59 tff(f81303,plain,(
% 58.13/9.59 spl5880_572 <=> power(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_572])])).
% 58.13/9.59 tff(f49848,plain,(
% 58.13/9.59 power(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9690])).
% 58.13/9.59 tff(f9690,axiom,(
% 58.13/9.59 power(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Power_Opower_480)).
% 58.13/9.59 tff(f81301,plain,(
% 58.13/9.59 spl5880_571),
% 58.13/9.59 inference(avatar_split_clause,[],[f49847,f81298])).
% 58.13/9.59 tff(f81298,plain,(
% 58.13/9.59 spl5880_571 <=> dvd(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_571])])).
% 58.13/9.59 tff(f49847,plain,(
% 58.13/9.59 dvd(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9277])).
% 58.13/9.59 tff(f9277,axiom,(
% 58.13/9.59 dvd(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Odvd_102)).
% 58.13/9.59 tff(f81296,plain,(
% 58.13/9.59 spl5880_570),
% 58.13/9.59 inference(avatar_split_clause,[],[f49846,f81293])).
% 58.13/9.59 tff(f81293,plain,(
% 58.13/9.59 spl5880_570 <=> dvd(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_570])])).
% 58.13/9.59 tff(f49846,plain,(
% 58.13/9.59 dvd(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9549])).
% 58.13/9.59 tff(f9549,axiom,(
% 58.13/9.59 dvd(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Odvd_340)).
% 58.13/9.59 tff(f81291,plain,(
% 58.13/9.59 spl5880_569),
% 58.13/9.59 inference(avatar_split_clause,[],[f49845,f81288])).
% 58.13/9.59 tff(f81288,plain,(
% 58.13/9.59 spl5880_569 <=> dvd(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_569])])).
% 58.13/9.59 tff(f49845,plain,(
% 58.13/9.59 dvd(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9185])).
% 58.13/9.59 tff(f9185,axiom,(
% 58.13/9.59 dvd(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Odvd)).
% 58.13/9.59 tff(f81286,plain,(
% 58.13/9.59 spl5880_568),
% 58.13/9.59 inference(avatar_split_clause,[],[f49844,f81283])).
% 58.13/9.59 tff(f81283,plain,(
% 58.13/9.59 spl5880_568 <=> dvd(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_568])])).
% 58.13/9.59 tff(f49844,plain,(
% 58.13/9.59 dvd(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9641])).
% 58.13/9.59 tff(f9641,axiom,(
% 58.13/9.59 dvd(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Odvd_432)).
% 58.13/9.59 tff(f81281,plain,(
% 58.13/9.59 spl5880_567),
% 58.13/9.59 inference(avatar_split_clause,[],[f49843,f81278])).
% 58.13/9.59 tff(f81278,plain,(
% 58.13/9.59 spl5880_567 <=> dvd(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_567])])).
% 58.13/9.59 tff(f49843,plain,(
% 58.13/9.59 dvd(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9818])).
% 58.13/9.59 tff(f9818,axiom,(
% 58.13/9.59 dvd(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Odvd_608)).
% 58.13/9.59 tff(f81276,plain,(
% 58.13/9.59 spl5880_566),
% 58.13/9.59 inference(avatar_split_clause,[],[f49842,f81273])).
% 58.13/9.59 tff(f81273,plain,(
% 58.13/9.59 spl5880_566 <=> dvd(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_566])])).
% 58.13/9.59 tff(f49842,plain,(
% 58.13/9.59 dvd(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9381])).
% 58.13/9.59 tff(f9381,axiom,(
% 58.13/9.59 dvd(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Odvd_194)).
% 58.13/9.59 tff(f81271,plain,(
% 58.13/9.59 spl5880_565),
% 58.13/9.59 inference(avatar_split_clause,[],[f49841,f81268])).
% 58.13/9.59 tff(f81268,plain,(
% 58.13/9.59 spl5880_565 <=> dvd(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_565])])).
% 58.13/9.59 tff(f49841,plain,(
% 58.13/9.59 dvd(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9695])).
% 58.13/9.59 tff(f9695,axiom,(
% 58.13/9.59 dvd(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Odvd_485)).
% 58.13/9.59 tff(f81266,plain,(
% 58.13/9.59 spl5880_564),
% 58.13/9.59 inference(avatar_split_clause,[],[f49840,f81263])).
% 58.13/9.59 tff(f81263,plain,(
% 58.13/9.59 spl5880_564 <=> order_bot(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_564])])).
% 58.13/9.59 tff(f49840,plain,(
% 58.13/9.59 order_bot(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9254])).
% 58.13/9.59 tff(f9254,axiom,(
% 58.13/9.59 order_bot(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder__bot_79)).
% 58.13/9.59 tff(f81261,plain,(
% 58.13/9.59 spl5880_563),
% 58.13/9.59 inference(avatar_split_clause,[],[f49839,f81258])).
% 58.13/9.59 tff(f81258,plain,(
% 58.13/9.59 spl5880_563 <=> semiring_0(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_563])])).
% 58.13/9.59 tff(f49839,plain,(
% 58.13/9.59 semiring_0(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9262])).
% 58.13/9.59 tff(f9262,axiom,(
% 58.13/9.59 semiring_0(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__0_87)).
% 58.13/9.59 tff(f81256,plain,(
% 58.13/9.59 spl5880_562),
% 58.13/9.59 inference(avatar_split_clause,[],[f49838,f81253])).
% 58.13/9.59 tff(f81253,plain,(
% 58.13/9.59 spl5880_562 <=> semiring_numeral(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_562])])).
% 58.13/9.59 tff(f49838,plain,(
% 58.13/9.59 semiring_numeral(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9249])).
% 58.13/9.59 tff(f9249,axiom,(
% 58.13/9.59 semiring_numeral(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Osemiring__numeral_75)).
% 58.13/9.59 tff(f81251,plain,(
% 58.13/9.59 spl5880_561),
% 58.13/9.59 inference(avatar_split_clause,[],[f49837,f81248])).
% 58.13/9.59 tff(f81248,plain,(
% 58.13/9.59 spl5880_561 <=> semiring_0(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_561])])).
% 58.13/9.59 tff(f49837,plain,(
% 58.13/9.59 semiring_0(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9524])).
% 58.13/9.59 tff(f9524,axiom,(
% 58.13/9.59 semiring_0(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__0_315)).
% 58.13/9.59 tff(f81246,plain,(
% 58.13/9.59 spl5880_560),
% 58.13/9.59 inference(avatar_split_clause,[],[f49836,f81243])).
% 58.13/9.59 tff(f81243,plain,(
% 58.13/9.59 spl5880_560 <=> semiring_numeral(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_560])])).
% 58.13/9.59 tff(f49836,plain,(
% 58.13/9.59 semiring_numeral(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9504])).
% 58.13/9.59 tff(f9504,axiom,(
% 58.13/9.59 semiring_numeral(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Osemiring__numeral_296)).
% 58.13/9.59 tff(f81241,plain,(
% 58.13/9.59 spl5880_559),
% 58.13/9.59 inference(avatar_split_clause,[],[f49835,f81238])).
% 58.13/9.59 tff(f81238,plain,(
% 58.13/9.59 spl5880_559 <=> order_bot($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_559])])).
% 58.13/9.59 tff(f49835,plain,(
% 58.13/9.59 order_bot($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9413])).
% 58.13/9.59 tff(f9413,axiom,(
% 58.13/9.59 order_bot($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__bot_226)).
% 58.13/9.59 tff(f81236,plain,(
% 58.13/9.59 spl5880_558),
% 58.13/9.59 inference(avatar_split_clause,[],[f49834,f81233])).
% 58.13/9.59 tff(f81233,plain,(
% 58.13/9.59 spl5880_558 <=> semiring_numeral(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_558])])).
% 58.13/9.59 tff(f49834,plain,(
% 58.13/9.59 semiring_numeral(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9141])).
% 58.13/9.59 tff(f9141,axiom,(
% 58.13/9.59 semiring_numeral(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Osemiring__numeral)).
% 58.13/9.59 tff(f81231,plain,(
% 58.13/9.59 spl5880_557),
% 58.13/9.59 inference(avatar_split_clause,[],[f49833,f81228])).
% 58.13/9.59 tff(f81228,plain,(
% 58.13/9.59 spl5880_557 <=> semiring_0(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_557])])).
% 58.13/9.59 tff(f49833,plain,(
% 58.13/9.59 semiring_0(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9159])).
% 58.13/9.59 tff(f9159,axiom,(
% 58.13/9.59 semiring_0(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__0)).
% 58.13/9.59 tff(f81226,plain,(
% 58.13/9.59 spl5880_556),
% 58.13/9.59 inference(avatar_split_clause,[],[f49832,f81223])).
% 58.13/9.59 tff(f81223,plain,(
% 58.13/9.59 spl5880_556 <=> semiring_0(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_556])])).
% 58.13/9.59 tff(f49832,plain,(
% 58.13/9.59 semiring_0(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9622])).
% 58.13/9.59 tff(f9622,axiom,(
% 58.13/9.59 semiring_0(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__0_413)).
% 58.13/9.59 tff(f81221,plain,(
% 58.13/9.59 spl5880_555),
% 58.13/9.59 inference(avatar_split_clause,[],[f49831,f81218])).
% 58.13/9.59 tff(f81218,plain,(
% 58.13/9.59 spl5880_555 <=> semiring_numeral(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_555])])).
% 58.13/9.59 tff(f49831,plain,(
% 58.13/9.59 semiring_numeral(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9607])).
% 58.13/9.59 tff(f9607,axiom,(
% 58.13/9.59 semiring_numeral(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Osemiring__numeral_398)).
% 58.13/9.59 tff(f81216,plain,(
% 58.13/9.59 spl5880_554),
% 58.13/9.59 inference(avatar_split_clause,[],[f49830,f81213])).
% 58.13/9.59 tff(f81213,plain,(
% 58.13/9.59 spl5880_554 <=> semiring_numeral(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_554])])).
% 58.13/9.59 tff(f49830,plain,(
% 58.13/9.59 semiring_numeral(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9780])).
% 58.13/9.59 tff(f9780,axiom,(
% 58.13/9.59 semiring_numeral(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Osemiring__numeral_570)).
% 58.13/9.59 tff(f81211,plain,(
% 58.13/9.59 spl5880_553),
% 58.13/9.59 inference(avatar_split_clause,[],[f49829,f81208])).
% 58.13/9.59 tff(f81208,plain,(
% 58.13/9.59 spl5880_553 <=> semiring_0(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_553])])).
% 58.13/9.59 tff(f49829,plain,(
% 58.13/9.59 semiring_0(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9798])).
% 58.13/9.59 tff(f9798,axiom,(
% 58.13/9.59 semiring_0(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__0_588)).
% 58.13/9.59 tff(f81206,plain,(
% 58.13/9.59 spl5880_552),
% 58.13/9.59 inference(avatar_split_clause,[],[f49828,f81203])).
% 58.13/9.59 tff(f81203,plain,(
% 58.13/9.59 spl5880_552 <=> semiring_numeral(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_552])])).
% 58.13/9.59 tff(f49828,plain,(
% 58.13/9.59 semiring_numeral(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9337])).
% 58.13/9.59 tff(f9337,axiom,(
% 58.13/9.59 semiring_numeral(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Osemiring__numeral_155)).
% 58.13/9.59 tff(f81201,plain,(
% 58.13/9.59 spl5880_551),
% 58.13/9.59 inference(avatar_split_clause,[],[f49827,f81198])).
% 58.13/9.59 tff(f81198,plain,(
% 58.13/9.59 spl5880_551 <=> semiring_0(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_551])])).
% 58.13/9.59 tff(f49827,plain,(
% 58.13/9.59 semiring_0(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9356])).
% 58.13/9.59 tff(f9356,axiom,(
% 58.13/9.59 semiring_0(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__0_171)).
% 58.13/9.59 tff(f81196,plain,(
% 58.13/9.59 spl5880_550),
% 58.13/9.59 inference(avatar_split_clause,[],[f49826,f81193])).
% 58.13/9.59 tff(f81193,plain,(
% 58.13/9.59 spl5880_550 <=> order_bot(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_550])])).
% 58.13/9.59 tff(f49826,plain,(
% 58.13/9.59 order_bot(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9675])).
% 58.13/9.59 tff(f9675,axiom,(
% 58.13/9.59 order_bot(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__bot_465)).
% 58.13/9.59 tff(f81191,plain,(
% 58.13/9.59 spl5880_549),
% 58.13/9.59 inference(avatar_split_clause,[],[f49825,f81188])).
% 58.13/9.59 tff(f81188,plain,(
% 58.13/9.59 spl5880_549 <=> semiring_numeral(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_549])])).
% 58.13/9.59 tff(f49825,plain,(
% 58.13/9.59 semiring_numeral(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9669])).
% 58.13/9.59 tff(f9669,axiom,(
% 58.13/9.59 semiring_numeral(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Osemiring__numeral_459)).
% 58.13/9.59 tff(f81186,plain,(
% 58.13/9.59 spl5880_548),
% 58.13/9.59 inference(avatar_split_clause,[],[f49824,f81183])).
% 58.13/9.59 tff(f81183,plain,(
% 58.13/9.59 spl5880_548 <=> semiring_0(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_548])])).
% 58.13/9.59 tff(f49824,plain,(
% 58.13/9.59 semiring_0(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9683])).
% 58.13/9.59 tff(f9683,axiom,(
% 58.13/9.59 semiring_0(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__0_473)).
% 58.13/9.59 tff(f81181,plain,(
% 58.13/9.59 spl5880_547),
% 58.13/9.59 inference(avatar_split_clause,[],[f49823,f81178])).
% 58.13/9.59 tff(f81178,plain,(
% 58.13/9.59 spl5880_547 <=> order_bot(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_547])])).
% 58.13/9.59 tff(f49823,plain,(
% 58.13/9.59 order_bot(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9712])).
% 58.13/9.59 tff(f9712,axiom,(
% 58.13/9.59 order_bot(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__bot_502)).
% 58.13/9.59 tff(f81176,plain,(
% 58.13/9.59 spl5880_546),
% 58.13/9.59 inference(avatar_split_clause,[],[f49822,f81173])).
% 58.13/9.59 tff(f49822,plain,(
% 58.13/9.59 zero_neq_one(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9256])).
% 58.13/9.59 tff(f9256,axiom,(
% 58.13/9.59 zero_neq_one(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__neq__one_81)).
% 58.13/9.59 tff(f81171,plain,(
% 58.13/9.59 spl5880_545),
% 58.13/9.59 inference(avatar_split_clause,[],[f49821,f81168])).
% 58.13/9.59 tff(f49821,plain,(
% 58.13/9.59 zero_neq_one(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9513])).
% 58.13/9.59 tff(f9513,axiom,(
% 58.13/9.59 zero_neq_one(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__neq__one_305)).
% 58.13/9.59 tff(f81166,plain,(
% 58.13/9.59 spl5880_544),
% 58.13/9.59 inference(avatar_split_clause,[],[f49820,f81163])).
% 58.13/9.59 tff(f49820,plain,(
% 58.13/9.59 zero_neq_one(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9147])).
% 58.13/9.59 tff(f9147,axiom,(
% 58.13/9.59 zero_neq_one(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__neq__one)).
% 58.13/9.59 tff(f81161,plain,(
% 58.13/9.59 spl5880_543),
% 58.13/9.59 inference(avatar_split_clause,[],[f49819,f81158])).
% 58.13/9.59 tff(f49819,plain,(
% 58.13/9.59 zero_neq_one(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9615])).
% 58.13/9.59 tff(f9615,axiom,(
% 58.13/9.59 zero_neq_one(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ozero__neq__one_406)).
% 58.13/9.59 tff(f81156,plain,(
% 58.13/9.59 spl5880_542),
% 58.13/9.59 inference(avatar_split_clause,[],[f49818,f81153])).
% 58.13/9.59 tff(f49818,plain,(
% 58.13/9.59 zero_neq_one(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9786])).
% 58.13/9.59 tff(f9786,axiom,(
% 58.13/9.59 zero_neq_one(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__neq__one_576)).
% 58.13/9.59 tff(f81151,plain,(
% 58.13/9.59 spl5880_541),
% 58.13/9.59 inference(avatar_split_clause,[],[f49817,f81148])).
% 58.13/9.59 tff(f49817,plain,(
% 58.13/9.59 zero_neq_one(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9346])).
% 58.13/9.59 tff(f9346,axiom,(
% 58.13/9.59 zero_neq_one(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__neq__one_161)).
% 58.13/9.59 tff(f81146,plain,(
% 58.13/9.59 spl5880_540),
% 58.13/9.59 inference(avatar_split_clause,[],[f49816,f81143])).
% 58.13/9.59 tff(f49816,plain,(
% 58.13/9.59 zero_neq_one(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9677])).
% 58.13/9.59 tff(f9677,axiom,(
% 58.13/9.59 zero_neq_one(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__neq__one_467)).
% 58.13/9.59 tff(f81141,plain,(
% 58.13/9.59 spl5880_539),
% 58.13/9.59 inference(avatar_split_clause,[],[f49815,f81138])).
% 58.13/9.59 tff(f81138,plain,(
% 58.13/9.59 spl5880_539 <=> monoid_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_539])])).
% 58.13/9.59 tff(f49815,plain,(
% 58.13/9.59 monoid_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9260])).
% 58.13/9.59 tff(f9260,axiom,(
% 58.13/9.59 monoid_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__add_85)).
% 58.13/9.59 tff(f81136,plain,(
% 58.13/9.59 spl5880_538),
% 58.13/9.59 inference(avatar_split_clause,[],[f49814,f81133])).
% 58.13/9.59 tff(f81133,plain,(
% 58.13/9.59 spl5880_538 <=> monoid_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_538])])).
% 58.13/9.59 tff(f49814,plain,(
% 58.13/9.59 monoid_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9522])).
% 58.13/9.59 tff(f9522,axiom,(
% 58.13/9.59 monoid_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__add_313)).
% 58.13/9.59 tff(f81131,plain,(
% 58.13/9.59 spl5880_537),
% 58.13/9.59 inference(avatar_split_clause,[],[f49813,f81128])).
% 58.13/9.59 tff(f81128,plain,(
% 58.13/9.59 spl5880_537 <=> monoid_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_537])])).
% 58.13/9.59 tff(f49813,plain,(
% 58.13/9.59 monoid_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9157])).
% 58.13/9.59 tff(f9157,axiom,(
% 58.13/9.59 monoid_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__add)).
% 58.13/9.59 tff(f81126,plain,(
% 58.13/9.59 spl5880_536),
% 58.13/9.59 inference(avatar_split_clause,[],[f49812,f81123])).
% 58.13/9.59 tff(f81123,plain,(
% 58.13/9.59 spl5880_536 <=> monoid_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_536])])).
% 58.13/9.59 tff(f49812,plain,(
% 58.13/9.59 monoid_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9620])).
% 58.13/9.59 tff(f9620,axiom,(
% 58.13/9.59 monoid_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__add_411)).
% 58.13/9.59 tff(f81121,plain,(
% 58.13/9.59 spl5880_535),
% 58.13/9.59 inference(avatar_split_clause,[],[f49811,f81118])).
% 58.13/9.59 tff(f81118,plain,(
% 58.13/9.59 spl5880_535 <=> monoid_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_535])])).
% 58.13/9.59 tff(f49811,plain,(
% 58.13/9.59 monoid_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9354])).
% 58.13/9.59 tff(f9354,axiom,(
% 58.13/9.59 monoid_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__add_169)).
% 58.13/9.59 tff(f81116,plain,(
% 58.13/9.59 spl5880_534),
% 58.13/9.59 inference(avatar_split_clause,[],[f49810,f81113])).
% 58.13/9.59 tff(f81113,plain,(
% 58.13/9.59 spl5880_534 <=> monoid_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_534])])).
% 58.13/9.59 tff(f49810,plain,(
% 58.13/9.59 monoid_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9796])).
% 58.13/9.59 tff(f9796,axiom,(
% 58.13/9.59 monoid_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__add_586)).
% 58.13/9.59 tff(f81111,plain,(
% 58.13/9.59 spl5880_533),
% 58.13/9.59 inference(avatar_split_clause,[],[f49809,f81108])).
% 58.13/9.59 tff(f81108,plain,(
% 58.13/9.59 spl5880_533 <=> monoid_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_533])])).
% 58.13/9.59 tff(f49809,plain,(
% 58.13/9.59 monoid_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9681])).
% 58.13/9.59 tff(f9681,axiom,(
% 58.13/9.59 monoid_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__add_471)).
% 58.13/9.59 tff(f81106,plain,(
% 58.13/9.59 spl5880_532),
% 58.13/9.59 inference(avatar_split_clause,[],[f49808,f81103])).
% 58.13/9.59 tff(f81103,plain,(
% 58.13/9.59 spl5880_532 <=> ab_semigroup_mult(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_532])])).
% 58.13/9.59 tff(f49808,plain,(
% 58.13/9.59 ab_semigroup_mult(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9234])).
% 58.13/9.59 tff(f9234,axiom,(
% 58.13/9.59 ab_semigroup_mult(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult_61)).
% 58.13/9.59 tff(f81101,plain,(
% 58.13/9.59 spl5880_531),
% 58.13/9.59 inference(avatar_split_clause,[],[f49807,f81098])).
% 58.13/9.59 tff(f81098,plain,(
% 58.13/9.59 spl5880_531 <=> semiring(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_531])])).
% 58.13/9.59 tff(f49807,plain,(
% 58.13/9.59 semiring(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9269])).
% 58.13/9.59 tff(f9269,axiom,(
% 58.13/9.59 semiring(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring_94)).
% 58.13/9.59 tff(f81096,plain,(
% 58.13/9.59 spl5880_530),
% 58.13/9.59 inference(avatar_split_clause,[],[f49806,f81093])).
% 58.13/9.59 tff(f81093,plain,(
% 58.13/9.59 spl5880_530 <=> semiring(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_530])])).
% 58.13/9.59 tff(f49806,plain,(
% 58.13/9.59 semiring(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9534])).
% 58.13/9.59 tff(f9534,axiom,(
% 58.13/9.59 semiring(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring_325)).
% 58.13/9.59 tff(f81091,plain,(
% 58.13/9.59 spl5880_529),
% 58.13/9.59 inference(avatar_split_clause,[],[f49805,f81088])).
% 58.13/9.59 tff(f81088,plain,(
% 58.13/9.59 spl5880_529 <=> ab_semigroup_mult(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_529])])).
% 58.13/9.59 tff(f49805,plain,(
% 58.13/9.59 ab_semigroup_mult(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9489])).
% 58.13/9.59 tff(f9489,axiom,(
% 58.13/9.59 ab_semigroup_mult(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__mult_281)).
% 58.13/9.59 tff(f81086,plain,(
% 58.13/9.59 spl5880_528),
% 58.13/9.59 inference(avatar_split_clause,[],[f49804,f81083])).
% 58.13/9.59 tff(f81083,plain,(
% 58.13/9.59 spl5880_528 <=> ab_semigroup_mult(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_528])])).
% 58.13/9.59 tff(f49804,plain,(
% 58.13/9.59 ab_semigroup_mult(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9124])).
% 58.13/9.59 tff(f9124,axiom,(
% 58.13/9.59 ab_semigroup_mult(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__mult)).
% 58.13/9.59 tff(f81081,plain,(
% 58.13/9.59 spl5880_527),
% 58.13/9.59 inference(avatar_split_clause,[],[f49803,f81078])).
% 58.13/9.59 tff(f81078,plain,(
% 58.13/9.59 spl5880_527 <=> semiring(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_527])])).
% 58.13/9.59 tff(f49803,plain,(
% 58.13/9.59 semiring(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9171])).
% 58.13/9.59 tff(f9171,axiom,(
% 58.13/9.59 semiring(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring)).
% 58.13/9.59 tff(f81076,plain,(
% 58.13/9.59 spl5880_526),
% 58.13/9.59 inference(avatar_split_clause,[],[f49802,f81073])).
% 58.13/9.59 tff(f81073,plain,(
% 58.13/9.59 spl5880_526 <=> ab_semigroup_mult(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_526])])).
% 58.13/9.59 tff(f49802,plain,(
% 58.13/9.59 ab_semigroup_mult(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9598])).
% 58.13/9.59 tff(f9598,axiom,(
% 58.13/9.59 ab_semigroup_mult(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__mult_389)).
% 58.13/9.59 tff(f81071,plain,(
% 58.13/9.59 spl5880_525),
% 58.13/9.59 inference(avatar_split_clause,[],[f49801,f81068])).
% 58.13/9.59 tff(f81068,plain,(
% 58.13/9.59 spl5880_525 <=> semiring(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_525])])).
% 58.13/9.59 tff(f49801,plain,(
% 58.13/9.59 semiring(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9628])).
% 58.13/9.59 tff(f9628,axiom,(
% 58.13/9.59 semiring(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring_419)).
% 58.13/9.59 tff(f81066,plain,(
% 58.13/9.59 spl5880_524),
% 58.13/9.59 inference(avatar_split_clause,[],[f49800,f81063])).
% 58.13/9.59 tff(f81063,plain,(
% 58.13/9.59 spl5880_524 <=> semiring(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_524])])).
% 58.13/9.59 tff(f49800,plain,(
% 58.13/9.59 semiring(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9366])).
% 58.13/9.59 tff(f9366,axiom,(
% 58.13/9.59 semiring(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring_181)).
% 58.13/9.59 tff(f81061,plain,(
% 58.13/9.59 spl5880_523),
% 58.13/9.59 inference(avatar_split_clause,[],[f49799,f81058])).
% 58.13/9.59 tff(f81058,plain,(
% 58.13/9.59 spl5880_523 <=> ab_semigroup_mult(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_523])])).
% 58.13/9.59 tff(f49799,plain,(
% 58.13/9.59 ab_semigroup_mult(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9322])).
% 58.13/9.59 tff(f9322,axiom,(
% 58.13/9.59 ab_semigroup_mult(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__mult_142)).
% 58.13/9.59 tff(f81056,plain,(
% 58.13/9.59 spl5880_522),
% 58.13/9.59 inference(avatar_split_clause,[],[f49798,f81053])).
% 58.13/9.59 tff(f81053,plain,(
% 58.13/9.59 spl5880_522 <=> ab_semigroup_mult(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_522])])).
% 58.13/9.59 tff(f49798,plain,(
% 58.13/9.59 ab_semigroup_mult(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9763])).
% 58.13/9.59 tff(f9763,axiom,(
% 58.13/9.59 ab_semigroup_mult(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__mult_553)).
% 58.13/9.59 tff(f81051,plain,(
% 58.13/9.59 spl5880_521),
% 58.13/9.59 inference(avatar_split_clause,[],[f49797,f81048])).
% 58.13/9.59 tff(f81048,plain,(
% 58.13/9.59 spl5880_521 <=> semiring(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_521])])).
% 58.13/9.59 tff(f49797,plain,(
% 58.13/9.59 semiring(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9805])).
% 58.13/9.59 tff(f9805,axiom,(
% 58.13/9.59 semiring(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring_595)).
% 58.13/9.59 tff(f81046,plain,(
% 58.13/9.59 spl5880_520),
% 58.13/9.59 inference(avatar_split_clause,[],[f49796,f81043])).
% 58.13/9.59 tff(f81043,plain,(
% 58.13/9.59 spl5880_520 <=> semiring(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_520])])).
% 58.13/9.59 tff(f49796,plain,(
% 58.13/9.59 semiring(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9687])).
% 58.13/9.59 tff(f9687,axiom,(
% 58.13/9.59 semiring(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring_477)).
% 58.13/9.59 tff(f81041,plain,(
% 58.13/9.59 spl5880_519),
% 58.13/9.59 inference(avatar_split_clause,[],[f49795,f81038])).
% 58.13/9.59 tff(f81038,plain,(
% 58.13/9.59 spl5880_519 <=> ab_semigroup_mult(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_519])])).
% 58.13/9.59 tff(f49795,plain,(
% 58.13/9.59 ab_semigroup_mult(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9661])).
% 58.13/9.59 tff(f9661,axiom,(
% 58.13/9.59 ab_semigroup_mult(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__mult_451)).
% 58.13/9.59 tff(f81036,plain,(
% 58.13/9.59 spl5880_518),
% 58.13/9.59 inference(avatar_split_clause,[],[f49794,f81033])).
% 58.13/9.59 tff(f81033,plain,(
% 58.13/9.59 spl5880_518 <=> zero(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_518])])).
% 58.13/9.59 tff(f49794,plain,(
% 58.13/9.59 zero(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9274])).
% 58.13/9.59 tff(f9274,axiom,(
% 58.13/9.59 zero(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ozero_99)).
% 58.13/9.59 tff(f81031,plain,(
% 58.13/9.59 spl5880_517),
% 58.13/9.59 inference(avatar_split_clause,[],[f49793,f81028])).
% 58.13/9.59 tff(f81028,plain,(
% 58.13/9.59 spl5880_517 <=> mult_zero(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_517])])).
% 58.13/9.59 tff(f49793,plain,(
% 58.13/9.59 mult_zero(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9267])).
% 58.13/9.59 tff(f9267,axiom,(
% 58.13/9.59 mult_zero(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Omult__zero_92)).
% 58.13/9.59 tff(f81026,plain,(
% 58.13/9.59 spl5880_516),
% 58.13/9.59 inference(avatar_split_clause,[],[f49792,f81023])).
% 58.13/9.59 tff(f81023,plain,(
% 58.13/9.59 spl5880_516 <=> comm_semiring_0(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_516])])).
% 58.13/9.59 tff(f49792,plain,(
% 58.13/9.59 comm_semiring_0(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9245])).
% 58.13/9.59 tff(f9245,axiom,(
% 58.13/9.59 comm_semiring_0(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__0_71)).
% 58.13/9.59 tff(f81021,plain,(
% 58.13/9.59 spl5880_515),
% 58.13/9.59 inference(avatar_split_clause,[],[f49791,f81018])).
% 58.13/9.59 tff(f81018,plain,(
% 58.13/9.59 spl5880_515 <=> mult_zero(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_515])])).
% 58.13/9.59 tff(f49791,plain,(
% 58.13/9.59 mult_zero(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9529])).
% 58.13/9.59 tff(f9529,axiom,(
% 58.13/9.59 mult_zero(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Omult__zero_320)).
% 58.13/9.59 tff(f81016,plain,(
% 58.13/9.59 spl5880_514),
% 58.13/9.59 inference(avatar_split_clause,[],[f49790,f81013])).
% 58.13/9.59 tff(f81013,plain,(
% 58.13/9.59 spl5880_514 <=> zero(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_514])])).
% 58.13/9.59 tff(f49790,plain,(
% 58.13/9.59 zero(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9544])).
% 58.13/9.59 tff(f9544,axiom,(
% 58.13/9.59 zero(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ozero_335)).
% 58.13/9.59 tff(f81011,plain,(
% 58.13/9.59 spl5880_513),
% 58.13/9.59 inference(avatar_split_clause,[],[f49789,f81008])).
% 58.13/9.59 tff(f81008,plain,(
% 58.13/9.59 spl5880_513 <=> comm_semiring_0(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_513])])).
% 58.13/9.59 tff(f49789,plain,(
% 58.13/9.59 comm_semiring_0(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9500])).
% 58.13/9.59 tff(f9500,axiom,(
% 58.13/9.59 comm_semiring_0(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__0_292)).
% 58.13/9.59 tff(f81006,plain,(
% 58.13/9.59 spl5880_512),
% 58.13/9.59 inference(avatar_split_clause,[],[f49788,f81003])).
% 58.13/9.59 tff(f81003,plain,(
% 58.13/9.59 spl5880_512 <=> mult_zero(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_512])])).
% 58.13/9.59 tff(f49788,plain,(
% 58.13/9.59 mult_zero(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9166])).
% 58.13/9.59 tff(f9166,axiom,(
% 58.13/9.59 mult_zero(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Omult__zero)).
% 58.13/9.59 tff(f81001,plain,(
% 58.13/9.59 spl5880_511),
% 58.13/9.59 inference(avatar_split_clause,[],[f49787,f80998])).
% 58.13/9.59 tff(f80998,plain,(
% 58.13/9.59 spl5880_511 <=> zero(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_511])])).
% 58.13/9.59 tff(f49787,plain,(
% 58.13/9.59 zero(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9180])).
% 58.13/9.59 tff(f9180,axiom,(
% 58.13/9.59 zero(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ozero)).
% 58.13/9.59 tff(f80996,plain,(
% 58.13/9.59 spl5880_510),
% 58.13/9.59 inference(avatar_split_clause,[],[f49786,f80993])).
% 58.13/9.59 tff(f80993,plain,(
% 58.13/9.59 spl5880_510 <=> comm_semiring_0(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_510])])).
% 58.13/9.59 tff(f49786,plain,(
% 58.13/9.59 comm_semiring_0(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9137])).
% 58.13/9.59 tff(f9137,axiom,(
% 58.13/9.59 comm_semiring_0(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__0)).
% 58.13/9.59 tff(f80991,plain,(
% 58.13/9.59 spl5880_509),
% 58.13/9.59 inference(avatar_split_clause,[],[f49785,f80988])).
% 58.13/9.59 tff(f80988,plain,(
% 58.13/9.59 spl5880_509 <=> mult_zero(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_509])])).
% 58.13/9.59 tff(f49785,plain,(
% 58.13/9.59 mult_zero(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9624])).
% 58.13/9.59 tff(f9624,axiom,(
% 58.13/9.59 mult_zero(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Omult__zero_415)).
% 58.13/9.59 tff(f80986,plain,(
% 58.13/9.59 spl5880_508),
% 58.13/9.59 inference(avatar_split_clause,[],[f49784,f80983])).
% 58.13/9.59 tff(f80983,plain,(
% 58.13/9.59 spl5880_508 <=> zero(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_508])])).
% 58.13/9.59 tff(f49784,plain,(
% 58.13/9.59 zero(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9636])).
% 58.13/9.59 tff(f9636,axiom,(
% 58.13/9.59 zero(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ozero_427)).
% 58.13/9.59 tff(f80981,plain,(
% 58.13/9.59 spl5880_507),
% 58.13/9.59 inference(avatar_split_clause,[],[f49783,f80978])).
% 58.13/9.59 tff(f80978,plain,(
% 58.13/9.59 spl5880_507 <=> comm_semiring_0(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_507])])).
% 58.13/9.59 tff(f49783,plain,(
% 58.13/9.59 comm_semiring_0(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9604])).
% 58.13/9.59 tff(f9604,axiom,(
% 58.13/9.59 comm_semiring_0(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__0_395)).
% 58.13/9.59 tff(f80976,plain,(
% 58.13/9.59 spl5880_506),
% 58.13/9.59 inference(avatar_split_clause,[],[f49782,f80973])).
% 58.13/9.59 tff(f80973,plain,(
% 58.13/9.59 spl5880_506 <=> zero(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_506])])).
% 58.13/9.59 tff(f49782,plain,(
% 58.13/9.59 zero(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9813])).
% 58.13/9.59 tff(f9813,axiom,(
% 58.13/9.59 zero(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ozero_603)).
% 58.13/9.59 tff(f80971,plain,(
% 58.13/9.59 spl5880_505),
% 58.13/9.59 inference(avatar_split_clause,[],[f49781,f80968])).
% 58.13/9.59 tff(f80968,plain,(
% 58.13/9.59 spl5880_505 <=> comm_semiring_0(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_505])])).
% 58.13/9.59 tff(f49781,plain,(
% 58.13/9.59 comm_semiring_0(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9776])).
% 58.13/9.59 tff(f9776,axiom,(
% 58.13/9.59 comm_semiring_0(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__0_566)).
% 58.13/9.59 tff(f80966,plain,(
% 58.13/9.59 spl5880_504),
% 58.13/9.59 inference(avatar_split_clause,[],[f49780,f80963])).
% 58.13/9.59 tff(f80963,plain,(
% 58.13/9.59 spl5880_504 <=> comm_semiring_0(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_504])])).
% 58.13/9.59 tff(f49780,plain,(
% 58.13/9.59 comm_semiring_0(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9333])).
% 58.13/9.59 tff(f9333,axiom,(
% 58.13/9.59 comm_semiring_0(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__0_152)).
% 58.13/9.59 tff(f80961,plain,(
% 58.13/9.59 spl5880_503),
% 58.13/9.59 inference(avatar_split_clause,[],[f49779,f80958])).
% 58.13/9.59 tff(f80958,plain,(
% 58.13/9.59 spl5880_503 <=> mult_zero(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_503])])).
% 58.13/9.59 tff(f49779,plain,(
% 58.13/9.59 mult_zero(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9361])).
% 58.13/9.59 tff(f9361,axiom,(
% 58.13/9.59 mult_zero(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Omult__zero_176)).
% 58.13/9.59 tff(f80956,plain,(
% 58.13/9.59 spl5880_502),
% 58.13/9.59 inference(avatar_split_clause,[],[f49778,f80953])).
% 58.13/9.59 tff(f80953,plain,(
% 58.13/9.59 spl5880_502 <=> mult_zero(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_502])])).
% 58.13/9.59 tff(f49778,plain,(
% 58.13/9.59 mult_zero(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9800])).
% 58.13/9.59 tff(f9800,axiom,(
% 58.13/9.59 mult_zero(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Omult__zero_590)).
% 58.13/9.59 tff(f80951,plain,(
% 58.13/9.59 spl5880_501),
% 58.13/9.59 inference(avatar_split_clause,[],[f49777,f80948])).
% 58.13/9.59 tff(f80948,plain,(
% 58.13/9.59 spl5880_501 <=> zero(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_501])])).
% 58.13/9.59 tff(f49777,plain,(
% 58.13/9.59 zero(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9376])).
% 58.13/9.59 tff(f9376,axiom,(
% 58.13/9.59 zero(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ozero_189)).
% 58.13/9.59 tff(f80946,plain,(
% 58.13/9.59 spl5880_500),
% 58.13/9.59 inference(avatar_split_clause,[],[f49776,f80943])).
% 58.13/9.59 tff(f80943,plain,(
% 58.13/9.59 spl5880_500 <=> zero(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_500])])).
% 58.13/9.59 tff(f49776,plain,(
% 58.13/9.59 zero(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9692])).
% 58.13/9.59 tff(f9692,axiom,(
% 58.13/9.59 zero(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ozero_482)).
% 58.13/9.59 tff(f80941,plain,(
% 58.13/9.59 spl5880_499),
% 58.13/9.59 inference(avatar_split_clause,[],[f49775,f80938])).
% 58.13/9.59 tff(f80938,plain,(
% 58.13/9.59 spl5880_499 <=> comm_semiring_0(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_499])])).
% 58.13/9.59 tff(f49775,plain,(
% 58.13/9.59 comm_semiring_0(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9667])).
% 58.13/9.59 tff(f9667,axiom,(
% 58.13/9.59 comm_semiring_0(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__0_457)).
% 58.13/9.59 tff(f80936,plain,(
% 58.13/9.59 spl5880_498),
% 58.13/9.59 inference(avatar_split_clause,[],[f49774,f80933])).
% 58.13/9.59 tff(f80933,plain,(
% 58.13/9.59 spl5880_498 <=> mult_zero(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_498])])).
% 58.13/9.59 tff(f49774,plain,(
% 58.13/9.59 mult_zero(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9685])).
% 58.13/9.59 tff(f9685,axiom,(
% 58.13/9.59 mult_zero(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Omult__zero_475)).
% 58.13/9.59 tff(f80931,plain,(
% 58.13/9.59 spl5880_497),
% 58.13/9.59 inference(avatar_split_clause,[],[f49773,f80928])).
% 58.13/9.59 tff(f80928,plain,(
% 58.13/9.59 spl5880_497 <=> semiri3467727345109120633visors(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_497])])).
% 58.13/9.59 tff(f49773,plain,(
% 58.13/9.59 semiri3467727345109120633visors(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9216])).
% 58.13/9.59 tff(f9216,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors_43)).
% 58.13/9.59 tff(f80926,plain,(
% 58.13/9.59 spl5880_496),
% 58.13/9.59 inference(avatar_split_clause,[],[f49772,f80923])).
% 58.13/9.59 tff(f80923,plain,(
% 58.13/9.59 spl5880_496 <=> semiri3467727345109120633visors(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_496])])).
% 58.13/9.59 tff(f49772,plain,(
% 58.13/9.59 semiri3467727345109120633visors(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9458])).
% 58.13/9.59 tff(f9458,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors_258)).
% 58.13/9.59 tff(f80921,plain,(
% 58.13/9.59 spl5880_495),
% 58.13/9.59 inference(avatar_split_clause,[],[f49771,f80918])).
% 58.13/9.59 tff(f80918,plain,(
% 58.13/9.59 spl5880_495 <=> semiri3467727345109120633visors(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_495])])).
% 58.13/9.59 tff(f49771,plain,(
% 58.13/9.59 semiri3467727345109120633visors(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9100])).
% 58.13/9.59 tff(f9100,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors)).
% 58.13/9.59 tff(f80916,plain,(
% 58.13/9.59 spl5880_494),
% 58.13/9.59 inference(avatar_split_clause,[],[f49770,f80913])).
% 58.13/9.59 tff(f80913,plain,(
% 58.13/9.59 spl5880_494 <=> semiri3467727345109120633visors(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_494])])).
% 58.13/9.59 tff(f49770,plain,(
% 58.13/9.59 semiri3467727345109120633visors(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9582])).
% 58.13/9.59 tff(f9582,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors_373)).
% 58.13/9.59 tff(f80911,plain,(
% 58.13/9.59 spl5880_493),
% 58.13/9.59 inference(avatar_split_clause,[],[f49769,f80908])).
% 58.13/9.59 tff(f80908,plain,(
% 58.13/9.59 spl5880_493 <=> semiri3467727345109120633visors(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_493])])).
% 58.13/9.59 tff(f49769,plain,(
% 58.13/9.59 semiri3467727345109120633visors(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9301])).
% 58.13/9.59 tff(f9301,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors_123)).
% 58.13/9.59 tff(f80906,plain,(
% 58.13/9.59 spl5880_492),
% 58.13/9.59 inference(avatar_split_clause,[],[f49768,f80903])).
% 58.13/9.59 tff(f80903,plain,(
% 58.13/9.59 spl5880_492 <=> semiri3467727345109120633visors(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_492])])).
% 58.13/9.59 tff(f49768,plain,(
% 58.13/9.59 semiri3467727345109120633visors(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9745])).
% 58.13/9.59 tff(f9745,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors_535)).
% 58.13/9.59 tff(f80901,plain,(
% 58.13/9.59 spl5880_491),
% 58.13/9.59 inference(avatar_split_clause,[],[f49767,f80898])).
% 58.13/9.59 tff(f80898,plain,(
% 58.13/9.59 spl5880_491 <=> semiri3467727345109120633visors(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_491])])).
% 58.13/9.59 tff(f49767,plain,(
% 58.13/9.59 semiri3467727345109120633visors(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9655])).
% 58.13/9.59 tff(f9655,axiom,(
% 58.13/9.59 semiri3467727345109120633visors(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__no__zero__divisors_445)).
% 58.13/9.59 tff(f80896,plain,(
% 58.13/9.59 spl5880_490),
% 58.13/9.59 inference(avatar_split_clause,[],[f49766,f80893])).
% 58.13/9.59 tff(f80893,plain,(
% 58.13/9.59 spl5880_490 <=> ab_semigroup_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_490])])).
% 58.13/9.59 tff(f49766,plain,(
% 58.13/9.59 ab_semigroup_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9239])).
% 58.13/9.59 tff(f9239,axiom,(
% 58.13/9.59 ab_semigroup_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__add_65)).
% 58.13/9.59 tff(f80891,plain,(
% 58.13/9.59 spl5880_489),
% 58.13/9.59 inference(avatar_split_clause,[],[f49765,f80888])).
% 58.13/9.59 tff(f80888,plain,(
% 58.13/9.59 spl5880_489 <=> ab_semigroup_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_489])])).
% 58.13/9.59 tff(f49765,plain,(
% 58.13/9.59 ab_semigroup_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9492])).
% 58.13/9.59 tff(f9492,axiom,(
% 58.13/9.59 ab_semigroup_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__add_284)).
% 58.13/9.59 tff(f80886,plain,(
% 58.13/9.59 spl5880_488),
% 58.13/9.59 inference(avatar_split_clause,[],[f49764,f80883])).
% 58.13/9.59 tff(f80883,plain,(
% 58.13/9.59 spl5880_488 <=> ab_semigroup_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_488])])).
% 58.13/9.59 tff(f49764,plain,(
% 58.13/9.59 ab_semigroup_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9128])).
% 58.13/9.59 tff(f9128,axiom,(
% 58.13/9.59 ab_semigroup_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__add)).
% 58.13/9.59 tff(f80881,plain,(
% 58.13/9.59 spl5880_487),
% 58.13/9.59 inference(avatar_split_clause,[],[f49763,f80878])).
% 58.13/9.59 tff(f80878,plain,(
% 58.13/9.59 spl5880_487 <=> ab_semigroup_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_487])])).
% 58.13/9.59 tff(f49763,plain,(
% 58.13/9.59 ab_semigroup_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9601])).
% 58.13/9.59 tff(f9601,axiom,(
% 58.13/9.59 ab_semigroup_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__add_392)).
% 58.13/9.59 tff(f80876,plain,(
% 58.13/9.59 spl5880_486),
% 58.13/9.59 inference(avatar_split_clause,[],[f49762,f80873])).
% 58.13/9.59 tff(f80873,plain,(
% 58.13/9.59 spl5880_486 <=> ab_semigroup_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_486])])).
% 58.13/9.59 tff(f49762,plain,(
% 58.13/9.59 ab_semigroup_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9767])).
% 58.13/9.59 tff(f9767,axiom,(
% 58.13/9.59 ab_semigroup_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__add_557)).
% 58.13/9.59 tff(f80871,plain,(
% 58.13/9.59 spl5880_485),
% 58.13/9.59 inference(avatar_split_clause,[],[f49761,f80868])).
% 58.13/9.59 tff(f80868,plain,(
% 58.13/9.59 spl5880_485 <=> ab_semigroup_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_485])])).
% 58.13/9.59 tff(f49761,plain,(
% 58.13/9.59 ab_semigroup_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9325])).
% 58.13/9.59 tff(f9325,axiom,(
% 58.13/9.59 ab_semigroup_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__add_145)).
% 58.13/9.59 tff(f80866,plain,(
% 58.13/9.59 spl5880_484),
% 58.13/9.59 inference(avatar_split_clause,[],[f49760,f80863])).
% 58.13/9.59 tff(f80863,plain,(
% 58.13/9.59 spl5880_484 <=> ab_semigroup_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_484])])).
% 58.13/9.59 tff(f49760,plain,(
% 58.13/9.59 ab_semigroup_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9663])).
% 58.13/9.59 tff(f9663,axiom,(
% 58.13/9.59 ab_semigroup_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__add_453)).
% 58.13/9.59 tff(f80861,plain,(
% 58.13/9.59 spl5880_483),
% 58.13/9.59 inference(avatar_split_clause,[],[f49759,f80858])).
% 58.13/9.59 tff(f80858,plain,(
% 58.13/9.59 spl5880_483 <=> one(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_483])])).
% 58.13/9.59 tff(f49759,plain,(
% 58.13/9.59 one(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9276])).
% 58.13/9.59 tff(f9276,axiom,(
% 58.13/9.59 one(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oone_101)).
% 58.13/9.59 tff(f80856,plain,(
% 58.13/9.59 spl5880_482),
% 58.13/9.59 inference(avatar_split_clause,[],[f49758,f80853])).
% 58.13/9.59 tff(f80853,plain,(
% 58.13/9.59 spl5880_482 <=> one(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_482])])).
% 58.13/9.59 tff(f49758,plain,(
% 58.13/9.59 one(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9548])).
% 58.13/9.59 tff(f9548,axiom,(
% 58.13/9.59 one(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oone_339)).
% 58.13/9.59 tff(f80851,plain,(
% 58.13/9.59 spl5880_481),
% 58.13/9.59 inference(avatar_split_clause,[],[f49757,f80848])).
% 58.13/9.59 tff(f80848,plain,(
% 58.13/9.59 spl5880_481 <=> one(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_481])])).
% 58.13/9.59 tff(f49757,plain,(
% 58.13/9.59 one(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9184])).
% 58.13/9.59 tff(f9184,axiom,(
% 58.13/9.59 one(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oone)).
% 58.13/9.59 tff(f80846,plain,(
% 58.13/9.59 spl5880_480),
% 58.13/9.59 inference(avatar_split_clause,[],[f49756,f80843])).
% 58.13/9.59 tff(f80843,plain,(
% 58.13/9.59 spl5880_480 <=> one(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_480])])).
% 58.13/9.59 tff(f49756,plain,(
% 58.13/9.59 one(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9640])).
% 58.13/9.59 tff(f9640,axiom,(
% 58.13/9.59 one(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oone_431)).
% 58.13/9.59 tff(f80841,plain,(
% 58.13/9.59 spl5880_479),
% 58.13/9.59 inference(avatar_split_clause,[],[f49755,f80838])).
% 58.13/9.59 tff(f80838,plain,(
% 58.13/9.59 spl5880_479 <=> one(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_479])])).
% 58.13/9.59 tff(f49755,plain,(
% 58.13/9.59 one(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9380])).
% 58.13/9.59 tff(f9380,axiom,(
% 58.13/9.59 one(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oone_193)).
% 58.13/9.59 tff(f80836,plain,(
% 58.13/9.59 spl5880_478),
% 58.13/9.59 inference(avatar_split_clause,[],[f49754,f80833])).
% 58.13/9.59 tff(f80833,plain,(
% 58.13/9.59 spl5880_478 <=> one(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_478])])).
% 58.13/9.59 tff(f49754,plain,(
% 58.13/9.59 one(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9817])).
% 58.13/9.59 tff(f9817,axiom,(
% 58.13/9.59 one(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oone_607)).
% 58.13/9.59 tff(f80831,plain,(
% 58.13/9.59 spl5880_477),
% 58.13/9.59 inference(avatar_split_clause,[],[f49753,f80828])).
% 58.13/9.59 tff(f80828,plain,(
% 58.13/9.59 spl5880_477 <=> one(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_477])])).
% 58.13/9.59 tff(f49753,plain,(
% 58.13/9.59 one(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9694])).
% 58.13/9.59 tff(f9694,axiom,(
% 58.13/9.59 one(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oone_484)).
% 58.13/9.59 tff(f80826,plain,(
% 58.13/9.59 spl5880_476),
% 58.13/9.59 inference(avatar_split_clause,[],[f49752,f80823])).
% 58.13/9.59 tff(f80823,plain,(
% 58.13/9.59 spl5880_476 <=> semigroup_mult(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_476])])).
% 58.13/9.59 tff(f49752,plain,(
% 58.13/9.59 semigroup_mult(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9246])).
% 58.13/9.59 tff(f9246,axiom,(
% 58.13/9.59 semigroup_mult(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__mult_72)).
% 58.13/9.59 tff(f80821,plain,(
% 58.13/9.59 spl5880_475),
% 58.13/9.59 inference(avatar_split_clause,[],[f49751,f80818])).
% 58.13/9.59 tff(f80818,plain,(
% 58.13/9.59 spl5880_475 <=> semigroup_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_475])])).
% 58.13/9.59 tff(f49751,plain,(
% 58.13/9.59 semigroup_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9250])).
% 58.13/9.59 tff(f9250,axiom,(
% 58.13/9.59 semigroup_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__add_76)).
% 58.13/9.59 tff(f80816,plain,(
% 58.13/9.59 spl5880_474),
% 58.13/9.59 inference(avatar_split_clause,[],[f49750,f80813])).
% 58.13/9.59 tff(f80813,plain,(
% 58.13/9.59 spl5880_474 <=> comm_semiring(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_474])])).
% 58.13/9.59 tff(f49750,plain,(
% 58.13/9.59 comm_semiring(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9252])).
% 58.13/9.59 tff(f9252,axiom,(
% 58.13/9.59 comm_semiring(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring_78)).
% 58.13/9.59 tff(f80811,plain,(
% 58.13/9.59 spl5880_473),
% 58.13/9.59 inference(avatar_split_clause,[],[f49749,f80808])).
% 58.13/9.59 tff(f80808,plain,(
% 58.13/9.59 spl5880_473 <=> semigroup_mult(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_473])])).
% 58.13/9.59 tff(f49749,plain,(
% 58.13/9.59 semigroup_mult(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9502])).
% 58.13/9.59 tff(f9502,axiom,(
% 58.13/9.59 semigroup_mult(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__mult_294)).
% 58.13/9.59 tff(f80806,plain,(
% 58.13/9.59 spl5880_472),
% 58.13/9.59 inference(avatar_split_clause,[],[f49748,f80803])).
% 58.13/9.59 tff(f80803,plain,(
% 58.13/9.59 spl5880_472 <=> comm_semiring(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_472])])).
% 58.13/9.59 tff(f49748,plain,(
% 58.13/9.59 comm_semiring(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9509])).
% 58.13/9.59 tff(f9509,axiom,(
% 58.13/9.59 comm_semiring(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring_301)).
% 58.13/9.59 tff(f80801,plain,(
% 58.13/9.59 spl5880_471),
% 58.13/9.59 inference(avatar_split_clause,[],[f49747,f80798])).
% 58.13/9.59 tff(f80798,plain,(
% 58.13/9.59 spl5880_471 <=> semigroup_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_471])])).
% 58.13/9.59 tff(f49747,plain,(
% 58.13/9.59 semigroup_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9505])).
% 58.13/9.59 tff(f9505,axiom,(
% 58.13/9.59 semigroup_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__add_297)).
% 58.13/9.59 tff(f80796,plain,(
% 58.13/9.59 spl5880_470),
% 58.13/9.59 inference(avatar_split_clause,[],[f49746,f80793])).
% 58.13/9.59 tff(f80793,plain,(
% 58.13/9.59 spl5880_470 <=> comm_semiring(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_470])])).
% 58.13/9.59 tff(f49746,plain,(
% 58.13/9.59 comm_semiring(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9144])).
% 58.13/9.59 tff(f9144,axiom,(
% 58.13/9.59 comm_semiring(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring)).
% 58.13/9.59 tff(f80791,plain,(
% 58.13/9.59 spl5880_469),
% 58.13/9.59 inference(avatar_split_clause,[],[f49745,f80788])).
% 58.13/9.59 tff(f80788,plain,(
% 58.13/9.59 spl5880_469 <=> semigroup_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_469])])).
% 58.13/9.59 tff(f49745,plain,(
% 58.13/9.59 semigroup_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9142])).
% 58.13/9.59 tff(f9142,axiom,(
% 58.13/9.59 semigroup_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__add)).
% 58.13/9.59 tff(f80786,plain,(
% 58.13/9.59 spl5880_468),
% 58.13/9.59 inference(avatar_split_clause,[],[f49744,f80783])).
% 58.13/9.59 tff(f80783,plain,(
% 58.13/9.59 spl5880_468 <=> semigroup_mult(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_468])])).
% 58.13/9.59 tff(f49744,plain,(
% 58.13/9.59 semigroup_mult(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9138])).
% 58.13/9.59 tff(f9138,axiom,(
% 58.13/9.59 semigroup_mult(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__mult)).
% 58.13/9.59 tff(f80781,plain,(
% 58.13/9.59 spl5880_467),
% 58.13/9.59 inference(avatar_split_clause,[],[f49743,f80778])).
% 58.13/9.59 tff(f80778,plain,(
% 58.13/9.59 spl5880_467 <=> semigroup_mult(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_467])])).
% 58.13/9.59 tff(f49743,plain,(
% 58.13/9.59 semigroup_mult(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9605])).
% 58.13/9.59 tff(f9605,axiom,(
% 58.13/9.59 semigroup_mult(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__mult_396)).
% 58.13/9.59 tff(f80776,plain,(
% 58.13/9.59 spl5880_466),
% 58.13/9.59 inference(avatar_split_clause,[],[f49742,f80773])).
% 58.13/9.59 tff(f80773,plain,(
% 58.13/9.59 spl5880_466 <=> comm_semiring(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_466])])).
% 58.13/9.59 tff(f49742,plain,(
% 58.13/9.59 comm_semiring(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9611])).
% 58.13/9.59 tff(f9611,axiom,(
% 58.13/9.59 comm_semiring(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring_402)).
% 58.13/9.59 tff(f80771,plain,(
% 58.13/9.59 spl5880_465),
% 58.13/9.59 inference(avatar_split_clause,[],[f49741,f80768])).
% 58.13/9.59 tff(f80768,plain,(
% 58.13/9.59 spl5880_465 <=> semigroup_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_465])])).
% 58.13/9.59 tff(f49741,plain,(
% 58.13/9.59 semigroup_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9608])).
% 58.13/9.59 tff(f9608,axiom,(
% 58.13/9.59 semigroup_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__add_399)).
% 58.13/9.59 tff(f80766,plain,(
% 58.13/9.59 spl5880_464),
% 58.13/9.59 inference(avatar_split_clause,[],[f49740,f80763])).
% 58.13/9.59 tff(f80763,plain,(
% 58.13/9.59 spl5880_464 <=> semigroup_mult(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_464])])).
% 58.13/9.59 tff(f49740,plain,(
% 58.13/9.59 semigroup_mult(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9777])).
% 58.13/9.59 tff(f9777,axiom,(
% 58.13/9.59 semigroup_mult(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__mult_567)).
% 58.13/9.59 tff(f80761,plain,(
% 58.13/9.59 spl5880_463),
% 58.13/9.59 inference(avatar_split_clause,[],[f49739,f80758])).
% 58.13/9.59 tff(f80758,plain,(
% 58.13/9.59 spl5880_463 <=> semigroup_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_463])])).
% 58.13/9.59 tff(f49739,plain,(
% 58.13/9.59 semigroup_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9781])).
% 58.13/9.59 tff(f9781,axiom,(
% 58.13/9.59 semigroup_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__add_571)).
% 58.13/9.59 tff(f80756,plain,(
% 58.13/9.59 spl5880_462),
% 58.13/9.59 inference(avatar_split_clause,[],[f49738,f80753])).
% 58.13/9.59 tff(f80753,plain,(
% 58.13/9.59 spl5880_462 <=> semigroup_mult(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_462])])).
% 58.13/9.59 tff(f49738,plain,(
% 58.13/9.59 semigroup_mult(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9335])).
% 58.13/9.59 tff(f9335,axiom,(
% 58.13/9.59 semigroup_mult(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__mult_153)).
% 58.13/9.59 tff(f80751,plain,(
% 58.13/9.59 spl5880_461),
% 58.13/9.59 inference(avatar_split_clause,[],[f49737,f80748])).
% 58.13/9.59 tff(f80748,plain,(
% 58.13/9.59 spl5880_461 <=> comm_semiring(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_461])])).
% 58.13/9.59 tff(f49737,plain,(
% 58.13/9.59 comm_semiring(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9783])).
% 58.13/9.59 tff(f9783,axiom,(
% 58.13/9.59 comm_semiring(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring_573)).
% 58.13/9.59 tff(f80746,plain,(
% 58.13/9.59 spl5880_460),
% 58.13/9.59 inference(avatar_split_clause,[],[f49736,f80743])).
% 58.13/9.59 tff(f80743,plain,(
% 58.13/9.59 spl5880_460 <=> semigroup_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_460])])).
% 58.13/9.59 tff(f49736,plain,(
% 58.13/9.59 semigroup_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9338])).
% 58.13/9.59 tff(f9338,axiom,(
% 58.13/9.59 semigroup_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__add_156)).
% 58.13/9.59 tff(f80741,plain,(
% 58.13/9.59 spl5880_459),
% 58.13/9.59 inference(avatar_split_clause,[],[f49735,f80738])).
% 58.13/9.59 tff(f80738,plain,(
% 58.13/9.59 spl5880_459 <=> comm_semiring(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_459])])).
% 58.13/9.59 tff(f49735,plain,(
% 58.13/9.59 comm_semiring(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9342])).
% 58.13/9.59 tff(f9342,axiom,(
% 58.13/9.59 comm_semiring(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring_158)).
% 58.13/9.59 tff(f80736,plain,(
% 58.13/9.59 spl5880_458),
% 58.13/9.59 inference(avatar_split_clause,[],[f49734,f80733])).
% 58.13/9.59 tff(f80733,plain,(
% 58.13/9.59 spl5880_458 <=> semigroup_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_458])])).
% 58.13/9.59 tff(f49734,plain,(
% 58.13/9.59 semigroup_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9670])).
% 58.13/9.59 tff(f9670,axiom,(
% 58.13/9.59 semigroup_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__add_460)).
% 58.13/9.59 tff(f80731,plain,(
% 58.13/9.59 spl5880_457),
% 58.13/9.59 inference(avatar_split_clause,[],[f49733,f80728])).
% 58.13/9.59 tff(f80728,plain,(
% 58.13/9.59 spl5880_457 <=> semigroup_mult(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_457])])).
% 58.13/9.59 tff(f49733,plain,(
% 58.13/9.59 semigroup_mult(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9668])).
% 58.13/9.59 tff(f9668,axiom,(
% 58.13/9.59 semigroup_mult(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__mult_458)).
% 58.13/9.59 tff(f80726,plain,(
% 58.13/9.59 spl5880_456),
% 58.13/9.59 inference(avatar_split_clause,[],[f49732,f80723])).
% 58.13/9.59 tff(f80723,plain,(
% 58.13/9.59 spl5880_456 <=> comm_semiring(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_456])])).
% 58.13/9.59 tff(f49732,plain,(
% 58.13/9.59 comm_semiring(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9672])).
% 58.13/9.59 tff(f9672,axiom,(
% 58.13/9.59 comm_semiring(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring_462)).
% 58.13/9.59 tff(f80721,plain,(
% 58.13/9.59 spl5880_455),
% 58.13/9.59 inference(avatar_split_clause,[],[f49731,f80718])).
% 58.13/9.59 tff(f49731,plain,(
% 58.13/9.59 topolo4958980785337419405_space(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9206])).
% 58.13/9.59 tff(f9206,axiom,(
% 58.13/9.59 topolo4958980785337419405_space(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Otopological__space_33)).
% 58.13/9.59 tff(f80716,plain,(
% 58.13/9.59 spl5880_454),
% 58.13/9.59 inference(avatar_split_clause,[],[f49730,f80713])).
% 58.13/9.59 tff(f49730,plain,(
% 58.13/9.59 topolo4958980785337419405_space(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9441])).
% 58.13/9.59 tff(f9441,axiom,(
% 58.13/9.59 topolo4958980785337419405_space(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Otopological__space_246)).
% 58.13/9.59 tff(f80711,plain,(
% 58.13/9.59 spl5880_453),
% 58.13/9.59 inference(avatar_split_clause,[],[f49729,f80708])).
% 58.13/9.59 tff(f49729,plain,(
% 58.13/9.59 topolo4958980785337419405_space($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9402])).
% 58.13/9.59 tff(f9402,axiom,(
% 58.13/9.59 topolo4958980785337419405_space($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Otopological__space_215)).
% 58.13/9.59 tff(f80706,plain,(
% 58.13/9.59 spl5880_452),
% 58.13/9.59 inference(avatar_split_clause,[],[f49728,f80703])).
% 58.13/9.59 tff(f49728,plain,(
% 58.13/9.59 topolo4958980785337419405_space(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9087])).
% 58.13/9.59 tff(f9087,axiom,(
% 58.13/9.59 topolo4958980785337419405_space(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Otopological__space)).
% 58.13/9.59 tff(f80701,plain,(
% 58.13/9.59 spl5880_451),
% 58.13/9.59 inference(avatar_split_clause,[],[f49727,f80698])).
% 58.13/9.59 tff(f49727,plain,(
% 58.13/9.59 topolo4958980785337419405_space(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9573])).
% 58.13/9.59 tff(f9573,axiom,(
% 58.13/9.59 topolo4958980785337419405_space(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Otopological__space_364)).
% 58.13/9.59 tff(f80696,plain,(
% 58.13/9.59 spl5880_450),
% 58.13/9.59 inference(avatar_split_clause,[],[f49726,f80693])).
% 58.13/9.59 tff(f80693,plain,(
% 58.13/9.59 spl5880_450 <=> comple6319245703460814977attice($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_450])])).
% 58.13/9.59 tff(f49726,plain,(
% 58.13/9.59 comple6319245703460814977attice($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9406])).
% 58.13/9.59 tff(f9406,axiom,(
% 58.13/9.59 comple6319245703460814977attice($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__lattice_219)).
% 58.13/9.59 tff(f80691,plain,(
% 58.13/9.59 spl5880_449),
% 58.13/9.59 inference(avatar_split_clause,[],[f49725,f80688])).
% 58.13/9.59 tff(f80688,plain,(
% 58.13/9.59 spl5880_449 <=> comple6319245703460814977attice(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_449])])).
% 58.13/9.59 tff(f49725,plain,(
% 58.13/9.59 comple6319245703460814977attice(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9653])).
% 58.13/9.59 tff(f9653,axiom,(
% 58.13/9.59 comple6319245703460814977attice(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__lattice_443)).
% 58.13/9.59 tff(f80686,plain,(
% 58.13/9.59 spl5880_448),
% 58.13/9.59 inference(avatar_split_clause,[],[f49724,f80683])).
% 58.13/9.59 tff(f80683,plain,(
% 58.13/9.59 spl5880_448 <=> comple6319245703460814977attice(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_448])])).
% 58.13/9.59 tff(f49724,plain,(
% 58.13/9.59 comple6319245703460814977attice(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9706])).
% 58.13/9.59 tff(f9706,axiom,(
% 58.13/9.59 comple6319245703460814977attice(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__lattice_496)).
% 58.13/9.59 tff(f80681,plain,(
% 58.13/9.59 spl5880_447),
% 58.13/9.59 inference(avatar_split_clause,[],[f49723,f80678])).
% 58.13/9.59 tff(f80678,plain,(
% 58.13/9.59 spl5880_447 <=> topological_t2_space(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_447])])).
% 58.13/9.59 tff(f49723,plain,(
% 58.13/9.59 topological_t2_space(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9226])).
% 58.13/9.59 tff(f9226,axiom,(
% 58.13/9.59 topological_t2_space(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot2__space_53)).
% 58.13/9.59 tff(f80676,plain,(
% 58.13/9.59 spl5880_446),
% 58.13/9.59 inference(avatar_split_clause,[],[f49722,f80673])).
% 58.13/9.59 tff(f80673,plain,(
% 58.13/9.59 spl5880_446 <=> topological_t2_space(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_446])])).
% 58.13/9.59 tff(f49722,plain,(
% 58.13/9.59 topological_t2_space(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9477])).
% 58.13/9.59 tff(f9477,axiom,(
% 58.13/9.59 topological_t2_space(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot2__space_270)).
% 58.13/9.59 tff(f80671,plain,(
% 58.13/9.59 spl5880_445),
% 58.13/9.59 inference(avatar_split_clause,[],[f49721,f80668])).
% 58.13/9.59 tff(f80668,plain,(
% 58.13/9.59 spl5880_445 <=> topological_t2_space($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_445])])).
% 58.13/9.59 tff(f49721,plain,(
% 58.13/9.59 topological_t2_space($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9409])).
% 58.13/9.59 tff(f9409,axiom,(
% 58.13/9.59 topological_t2_space($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot2__space_222)).
% 58.13/9.59 tff(f80666,plain,(
% 58.13/9.59 spl5880_444),
% 58.13/9.59 inference(avatar_split_clause,[],[f49720,f80663])).
% 58.13/9.59 tff(f80663,plain,(
% 58.13/9.59 spl5880_444 <=> topological_t2_space(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_444])])).
% 58.13/9.59 tff(f49720,plain,(
% 58.13/9.59 topological_t2_space(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9114])).
% 58.13/9.59 tff(f9114,axiom,(
% 58.13/9.59 topological_t2_space(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot2__space)).
% 58.13/9.59 tff(f80661,plain,(
% 58.13/9.59 spl5880_443),
% 58.13/9.59 inference(avatar_split_clause,[],[f49719,f80658])).
% 58.13/9.59 tff(f80658,plain,(
% 58.13/9.59 spl5880_443 <=> topological_t2_space(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_443])])).
% 58.13/9.59 tff(f49719,plain,(
% 58.13/9.59 topological_t2_space(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9595])).
% 58.13/9.59 tff(f9595,axiom,(
% 58.13/9.59 topological_t2_space(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot2__space_386)).
% 58.13/9.59 tff(f80656,plain,(
% 58.13/9.59 spl5880_442),
% 58.13/9.59 inference(avatar_split_clause,[],[f49718,f80653])).
% 58.13/9.59 tff(f80653,plain,(
% 58.13/9.59 spl5880_442 <=> linord181362715937106298miring(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_442])])).
% 58.13/9.59 tff(f49718,plain,(
% 58.13/9.59 linord181362715937106298miring(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9213])).
% 58.13/9.59 tff(f9213,axiom,(
% 58.13/9.59 linord181362715937106298miring(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring_40)).
% 58.13/9.59 tff(f80651,plain,(
% 58.13/9.59 spl5880_441),
% 58.13/9.59 inference(avatar_split_clause,[],[f49717,f80648])).
% 58.13/9.59 tff(f80648,plain,(
% 58.13/9.59 spl5880_441 <=> ordere6911136660526730532id_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_441])])).
% 58.13/9.59 tff(f49717,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9220])).
% 58.13/9.59 tff(f9220,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__comm__monoid__add_47)).
% 58.13/9.59 tff(f80646,plain,(
% 58.13/9.59 spl5880_440),
% 58.13/9.59 inference(avatar_split_clause,[],[f49716,f80643])).
% 58.13/9.59 tff(f80643,plain,(
% 58.13/9.59 spl5880_440 <=> linord181362715937106298miring(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_440])])).
% 58.13/9.59 tff(f49716,plain,(
% 58.13/9.59 linord181362715937106298miring(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9452])).
% 58.13/9.59 tff(f9452,axiom,(
% 58.13/9.59 linord181362715937106298miring(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__nonzero__semiring_255)).
% 58.13/9.59 tff(f80641,plain,(
% 58.13/9.59 spl5880_439),
% 58.13/9.59 inference(avatar_split_clause,[],[f49715,f80638])).
% 58.13/9.59 tff(f80638,plain,(
% 58.13/9.59 spl5880_439 <=> ordere6911136660526730532id_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_439])])).
% 58.13/9.59 tff(f49715,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9466])).
% 58.13/9.59 tff(f9466,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__comm__monoid__add_262)).
% 58.13/9.59 tff(f80636,plain,(
% 58.13/9.59 spl5880_438),
% 58.13/9.59 inference(avatar_split_clause,[],[f49714,f80633])).
% 58.13/9.59 tff(f80633,plain,(
% 58.13/9.59 spl5880_438 <=> ordere6911136660526730532id_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_438])])).
% 58.13/9.59 tff(f49714,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9105])).
% 58.13/9.59 tff(f9105,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__comm__monoid__add)).
% 58.13/9.59 tff(f80631,plain,(
% 58.13/9.59 spl5880_437),
% 58.13/9.59 inference(avatar_split_clause,[],[f49713,f80628])).
% 58.13/9.59 tff(f80628,plain,(
% 58.13/9.59 spl5880_437 <=> linord181362715937106298miring(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_437])])).
% 58.13/9.59 tff(f49713,plain,(
% 58.13/9.59 linord181362715937106298miring(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9096])).
% 58.13/9.59 tff(f9096,axiom,(
% 58.13/9.59 linord181362715937106298miring(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__nonzero__semiring)).
% 58.13/9.59 tff(f80626,plain,(
% 58.13/9.59 spl5880_436),
% 58.13/9.59 inference(avatar_split_clause,[],[f49712,f80623])).
% 58.13/9.59 tff(f80623,plain,(
% 58.13/9.59 spl5880_436 <=> linord181362715937106298miring(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_436])])).
% 58.13/9.59 tff(f49712,plain,(
% 58.13/9.59 linord181362715937106298miring(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9299])).
% 58.13/9.59 tff(f9299,axiom,(
% 58.13/9.59 linord181362715937106298miring(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__nonzero__semiring_121)).
% 58.13/9.59 tff(f80621,plain,(
% 58.13/9.59 spl5880_435),
% 58.13/9.59 inference(avatar_split_clause,[],[f49711,f80618])).
% 58.13/9.59 tff(f80618,plain,(
% 58.13/9.59 spl5880_435 <=> ordere6911136660526730532id_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_435])])).
% 58.13/9.59 tff(f49711,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9305])).
% 58.13/9.59 tff(f9305,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__comm__monoid__add_126)).
% 58.13/9.59 tff(f80616,plain,(
% 58.13/9.59 spl5880_434),
% 58.13/9.59 inference(avatar_split_clause,[],[f49710,f80613])).
% 58.13/9.59 tff(f80613,plain,(
% 58.13/9.59 spl5880_434 <=> ordere6911136660526730532id_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_434])])).
% 58.13/9.59 tff(f49710,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9748])).
% 58.13/9.59 tff(f9748,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__comm__monoid__add_538)).
% 58.13/9.59 tff(f80611,plain,(
% 58.13/9.59 spl5880_433),
% 58.13/9.59 inference(avatar_split_clause,[],[f49709,f80608])).
% 58.13/9.59 tff(f80608,plain,(
% 58.13/9.59 spl5880_433 <=> linord181362715937106298miring(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_433])])).
% 58.13/9.59 tff(f49709,plain,(
% 58.13/9.59 linord181362715937106298miring(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9742])).
% 58.13/9.59 tff(f9742,axiom,(
% 58.13/9.59 linord181362715937106298miring(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__nonzero__semiring_532)).
% 58.13/9.59 tff(f80606,plain,(
% 58.13/9.59 spl5880_432),
% 58.13/9.59 inference(avatar_split_clause,[],[f49708,f80603])).
% 58.13/9.59 tff(f80603,plain,(
% 58.13/9.59 spl5880_432 <=> linord181362715937106298miring(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_432])])).
% 58.13/9.59 tff(f49708,plain,(
% 58.13/9.59 linord181362715937106298miring(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9654])).
% 58.13/9.59 tff(f9654,axiom,(
% 58.13/9.59 linord181362715937106298miring(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Olinordered__nonzero__semiring_444)).
% 58.13/9.59 tff(f80601,plain,(
% 58.13/9.59 spl5880_431),
% 58.13/9.59 inference(avatar_split_clause,[],[f49707,f80598])).
% 58.13/9.59 tff(f80598,plain,(
% 58.13/9.59 spl5880_431 <=> ordere6911136660526730532id_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_431])])).
% 58.13/9.59 tff(f49707,plain,(
% 58.13/9.59 ordere6911136660526730532id_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9657])).
% 58.13/9.59 tff(f9657,axiom,(
% 58.13/9.59 ordere6911136660526730532id_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__comm__monoid__add_447)).
% 58.13/9.59 tff(f80596,plain,(
% 58.13/9.59 spl5880_430),
% 58.13/9.59 inference(avatar_split_clause,[],[f49706,f80593])).
% 58.13/9.59 tff(f80593,plain,(
% 58.13/9.59 spl5880_430 <=> semidom_divide(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_430])])).
% 58.13/9.59 tff(f49706,plain,(
% 58.13/9.59 semidom_divide(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9248])).
% 58.13/9.59 tff(f9248,axiom,(
% 58.13/9.59 semidom_divide(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide_74)).
% 58.13/9.59 tff(f80591,plain,(
% 58.13/9.59 spl5880_429),
% 58.13/9.59 inference(avatar_split_clause,[],[f49705,f80588])).
% 58.13/9.59 tff(f80588,plain,(
% 58.13/9.59 spl5880_429 <=> semidom_divide(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_429])])).
% 58.13/9.59 tff(f49705,plain,(
% 58.13/9.59 semidom_divide(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9503])).
% 58.13/9.59 tff(f9503,axiom,(
% 58.13/9.59 semidom_divide(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom__divide_295)).
% 58.13/9.59 tff(f80586,plain,(
% 58.13/9.59 spl5880_428),
% 58.13/9.59 inference(avatar_split_clause,[],[f49704,f80583])).
% 58.13/9.59 tff(f80583,plain,(
% 58.13/9.59 spl5880_428 <=> semidom_divide(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_428])])).
% 58.13/9.59 tff(f49704,plain,(
% 58.13/9.59 semidom_divide(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9140])).
% 58.13/9.59 tff(f9140,axiom,(
% 58.13/9.59 semidom_divide(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide)).
% 58.13/9.59 tff(f80581,plain,(
% 58.13/9.59 spl5880_427),
% 58.13/9.59 inference(avatar_split_clause,[],[f49703,f80578])).
% 58.13/9.59 tff(f80578,plain,(
% 58.13/9.59 spl5880_427 <=> semidom_divide(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_427])])).
% 58.13/9.59 tff(f49703,plain,(
% 58.13/9.59 semidom_divide(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9606])).
% 58.13/9.59 tff(f9606,axiom,(
% 58.13/9.59 semidom_divide(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom__divide_397)).
% 58.13/9.59 tff(f80576,plain,(
% 58.13/9.59 spl5880_426),
% 58.13/9.59 inference(avatar_split_clause,[],[f49702,f80573])).
% 58.13/9.59 tff(f80573,plain,(
% 58.13/9.59 spl5880_426 <=> semidom_divide(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_426])])).
% 58.13/9.59 tff(f49702,plain,(
% 58.13/9.59 semidom_divide(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9779])).
% 58.13/9.59 tff(f9779,axiom,(
% 58.13/9.59 semidom_divide(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__divide_569)).
% 58.13/9.59 tff(f80571,plain,(
% 58.13/9.59 spl5880_425),
% 58.13/9.59 inference(avatar_split_clause,[],[f49701,f80568])).
% 58.13/9.59 tff(f80568,plain,(
% 58.13/9.59 spl5880_425 <=> semidom_divide(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_425])])).
% 58.13/9.59 tff(f49701,plain,(
% 58.13/9.59 semidom_divide(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9336])).
% 58.13/9.59 tff(f9336,axiom,(
% 58.13/9.59 semidom_divide(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemidom__divide_154)).
% 58.13/9.59 tff(f80566,plain,(
% 58.13/9.59 spl5880_424),
% 58.13/9.59 inference(avatar_split_clause,[],[f49700,f80563])).
% 58.13/9.59 tff(f80563,plain,(
% 58.13/9.59 spl5880_424 <=> order_top($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_424])])).
% 58.13/9.59 tff(f49700,plain,(
% 58.13/9.59 order_top($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9412])).
% 58.13/9.59 tff(f9412,axiom,(
% 58.13/9.59 order_top($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__top_225)).
% 58.13/9.59 tff(f80561,plain,(
% 58.13/9.59 spl5880_423),
% 58.13/9.59 inference(avatar_split_clause,[],[f49699,f80558])).
% 58.13/9.59 tff(f80558,plain,(
% 58.13/9.59 spl5880_423 <=> order_top(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_423])])).
% 58.13/9.59 tff(f49699,plain,(
% 58.13/9.59 order_top(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9674])).
% 58.13/9.59 tff(f9674,axiom,(
% 58.13/9.59 order_top(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__top_464)).
% 58.13/9.59 tff(f80556,plain,(
% 58.13/9.59 spl5880_422),
% 58.13/9.59 inference(avatar_split_clause,[],[f49698,f80553])).
% 58.13/9.59 tff(f80553,plain,(
% 58.13/9.59 spl5880_422 <=> order_top(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_422])])).
% 58.13/9.59 tff(f49698,plain,(
% 58.13/9.59 order_top(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9711])).
% 58.13/9.59 tff(f9711,axiom,(
% 58.13/9.59 order_top(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__top_501)).
% 58.13/9.59 tff(f80551,plain,(
% 58.13/9.59 spl5880_421),
% 58.13/9.59 inference(avatar_split_clause,[],[f49697,f80548])).
% 58.13/9.59 tff(f80548,plain,(
% 58.13/9.59 spl5880_421 <=> ordere6658533253407199908up_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_421])])).
% 58.13/9.59 tff(f49697,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9217])).
% 58.13/9.59 tff(f9217,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add_44)).
% 58.13/9.59 tff(f80546,plain,(
% 58.13/9.59 spl5880_420),
% 58.13/9.59 inference(avatar_split_clause,[],[f49696,f80543])).
% 58.13/9.59 tff(f80543,plain,(
% 58.13/9.59 spl5880_420 <=> cancel_semigroup_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_420])])).
% 58.13/9.59 tff(f49696,plain,(
% 58.13/9.59 cancel_semigroup_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9228])).
% 58.13/9.59 tff(f9228,axiom,(
% 58.13/9.59 cancel_semigroup_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__semigroup__add_55)).
% 58.13/9.59 tff(f80541,plain,(
% 58.13/9.59 spl5880_419),
% 58.13/9.59 inference(avatar_split_clause,[],[f49695,f80538])).
% 58.13/9.59 tff(f80538,plain,(
% 58.13/9.59 spl5880_419 <=> ordere6658533253407199908up_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_419])])).
% 58.13/9.59 tff(f49695,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9462])).
% 58.13/9.59 tff(f9462,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add_259)).
% 58.13/9.59 tff(f80536,plain,(
% 58.13/9.59 spl5880_418),
% 58.13/9.59 inference(avatar_split_clause,[],[f49694,f80533])).
% 58.13/9.59 tff(f80533,plain,(
% 58.13/9.59 spl5880_418 <=> cancel_semigroup_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_418])])).
% 58.13/9.59 tff(f49694,plain,(
% 58.13/9.59 cancel_semigroup_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9481])).
% 58.13/9.59 tff(f9481,axiom,(
% 58.13/9.59 cancel_semigroup_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__semigroup__add_274)).
% 58.13/9.59 tff(f80531,plain,(
% 58.13/9.59 spl5880_417),
% 58.13/9.59 inference(avatar_split_clause,[],[f49693,f80528])).
% 58.13/9.59 tff(f80528,plain,(
% 58.13/9.59 spl5880_417 <=> cancel_semigroup_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_417])])).
% 58.13/9.59 tff(f49693,plain,(
% 58.13/9.59 cancel_semigroup_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9118])).
% 58.13/9.59 tff(f9118,axiom,(
% 58.13/9.59 cancel_semigroup_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__semigroup__add)).
% 58.13/9.59 tff(f80526,plain,(
% 58.13/9.59 spl5880_416),
% 58.13/9.59 inference(avatar_split_clause,[],[f49692,f80523])).
% 58.13/9.59 tff(f80523,plain,(
% 58.13/9.59 spl5880_416 <=> ordere6658533253407199908up_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_416])])).
% 58.13/9.59 tff(f49692,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9101])).
% 58.13/9.59 tff(f9101,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add)).
% 58.13/9.59 tff(f80521,plain,(
% 58.13/9.59 spl5880_415),
% 58.13/9.59 inference(avatar_split_clause,[],[f49691,f80518])).
% 58.13/9.59 tff(f80518,plain,(
% 58.13/9.59 spl5880_415 <=> cancel_semigroup_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_415])])).
% 58.13/9.59 tff(f49691,plain,(
% 58.13/9.59 cancel_semigroup_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9596])).
% 58.13/9.59 tff(f9596,axiom,(
% 58.13/9.59 cancel_semigroup_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__semigroup__add_387)).
% 58.13/9.59 tff(f80516,plain,(
% 58.13/9.59 spl5880_414),
% 58.13/9.59 inference(avatar_split_clause,[],[f49690,f80513])).
% 58.13/9.59 tff(f80513,plain,(
% 58.13/9.59 spl5880_414 <=> ordere6658533253407199908up_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_414])])).
% 58.13/9.59 tff(f49690,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9746])).
% 58.13/9.59 tff(f9746,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add_536)).
% 58.13/9.59 tff(f80511,plain,(
% 58.13/9.59 spl5880_413),
% 58.13/9.59 inference(avatar_split_clause,[],[f49689,f80508])).
% 58.13/9.59 tff(f80508,plain,(
% 58.13/9.59 spl5880_413 <=> ordere6658533253407199908up_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_413])])).
% 58.13/9.59 tff(f49689,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9302])).
% 58.13/9.59 tff(f9302,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add_124)).
% 58.13/9.59 tff(f80506,plain,(
% 58.13/9.59 spl5880_412),
% 58.13/9.59 inference(avatar_split_clause,[],[f49688,f80503])).
% 58.13/9.59 tff(f80503,plain,(
% 58.13/9.59 spl5880_412 <=> cancel_semigroup_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_412])])).
% 58.13/9.59 tff(f49688,plain,(
% 58.13/9.59 cancel_semigroup_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9315])).
% 58.13/9.59 tff(f9315,axiom,(
% 58.13/9.59 cancel_semigroup_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__semigroup__add_136)).
% 58.13/9.59 tff(f80501,plain,(
% 58.13/9.59 spl5880_411),
% 58.13/9.59 inference(avatar_split_clause,[],[f49687,f80498])).
% 58.13/9.59 tff(f80498,plain,(
% 58.13/9.59 spl5880_411 <=> cancel_semigroup_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_411])])).
% 58.13/9.59 tff(f49687,plain,(
% 58.13/9.59 cancel_semigroup_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9759])).
% 58.13/9.59 tff(f9759,axiom,(
% 58.13/9.59 cancel_semigroup_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__semigroup__add_549)).
% 58.13/9.59 tff(f80496,plain,(
% 58.13/9.59 spl5880_410),
% 58.13/9.59 inference(avatar_split_clause,[],[f49686,f80493])).
% 58.13/9.59 tff(f80493,plain,(
% 58.13/9.59 spl5880_410 <=> ordere6658533253407199908up_add(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_410])])).
% 58.13/9.59 tff(f49686,plain,(
% 58.13/9.59 ordere6658533253407199908up_add(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9656])).
% 58.13/9.59 tff(f9656,axiom,(
% 58.13/9.59 ordere6658533253407199908up_add(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__ab__semigroup__add_446)).
% 58.13/9.59 tff(f80491,plain,(
% 58.13/9.59 spl5880_409),
% 58.13/9.59 inference(avatar_split_clause,[],[f49685,f80488])).
% 58.13/9.59 tff(f80488,plain,(
% 58.13/9.59 spl5880_409 <=> cancel1802427076303600483id_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_409])])).
% 58.13/9.59 tff(f49685,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9223])).
% 58.13/9.59 tff(f9223,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__comm__monoid__add_50)).
% 58.13/9.59 tff(f80486,plain,(
% 58.13/9.59 spl5880_408),
% 58.13/9.59 inference(avatar_split_clause,[],[f49684,f80483])).
% 58.13/9.59 tff(f80483,plain,(
% 58.13/9.59 spl5880_408 <=> comm_s4317794764714335236cancel(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_408])])).
% 58.13/9.59 tff(f49684,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9224])).
% 58.13/9.59 tff(f9224,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1__cancel_51)).
% 58.13/9.59 tff(f80481,plain,(
% 58.13/9.59 spl5880_407),
% 58.13/9.59 inference(avatar_split_clause,[],[f49683,f80478])).
% 58.13/9.59 tff(f80478,plain,(
% 58.13/9.59 spl5880_407 <=> cancel1802427076303600483id_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_407])])).
% 58.13/9.59 tff(f49683,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9472])).
% 58.13/9.59 tff(f9472,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add_267)).
% 58.13/9.59 tff(f80476,plain,(
% 58.13/9.59 spl5880_406),
% 58.13/9.59 inference(avatar_split_clause,[],[f49682,f80473])).
% 58.13/9.59 tff(f80473,plain,(
% 58.13/9.59 spl5880_406 <=> comm_s4317794764714335236cancel(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_406])])).
% 58.13/9.59 tff(f49682,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9474])).
% 58.13/9.59 tff(f9474,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1__cancel_269)).
% 58.13/9.59 tff(f80471,plain,(
% 58.13/9.59 spl5880_405),
% 58.13/9.59 inference(avatar_split_clause,[],[f49681,f80468])).
% 58.13/9.59 tff(f80468,plain,(
% 58.13/9.59 spl5880_405 <=> comm_s4317794764714335236cancel(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_405])])).
% 58.13/9.59 tff(f49681,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9112])).
% 58.13/9.59 tff(f9112,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1__cancel)).
% 58.13/9.59 tff(f80466,plain,(
% 58.13/9.59 spl5880_404),
% 58.13/9.59 inference(avatar_split_clause,[],[f49680,f80463])).
% 58.13/9.59 tff(f80463,plain,(
% 58.13/9.59 spl5880_404 <=> cancel1802427076303600483id_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_404])])).
% 58.13/9.59 tff(f49680,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9110])).
% 58.13/9.59 tff(f9110,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__comm__monoid__add)).
% 58.13/9.59 tff(f80461,plain,(
% 58.13/9.59 spl5880_403),
% 58.13/9.59 inference(avatar_split_clause,[],[f49679,f80458])).
% 58.13/9.59 tff(f80458,plain,(
% 58.13/9.59 spl5880_403 <=> cancel1802427076303600483id_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_403])])).
% 58.13/9.59 tff(f49679,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9591])).
% 58.13/9.59 tff(f9591,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__comm__monoid__add_382)).
% 58.13/9.59 tff(f80456,plain,(
% 58.13/9.59 spl5880_402),
% 58.13/9.59 inference(avatar_split_clause,[],[f49678,f80453])).
% 58.13/9.59 tff(f80453,plain,(
% 58.13/9.59 spl5880_402 <=> comm_s4317794764714335236cancel(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_402])])).
% 58.13/9.59 tff(f49678,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9592])).
% 58.13/9.59 tff(f9592,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1__cancel_383)).
% 58.13/9.59 tff(f80451,plain,(
% 58.13/9.59 spl5880_401),
% 58.13/9.59 inference(avatar_split_clause,[],[f49677,f80448])).
% 58.13/9.59 tff(f80448,plain,(
% 58.13/9.59 spl5880_401 <=> comm_s4317794764714335236cancel(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_401])])).
% 58.13/9.59 tff(f49677,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9311])).
% 58.13/9.59 tff(f9311,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1__cancel_132)).
% 58.13/9.59 tff(f80446,plain,(
% 58.13/9.59 spl5880_400),
% 58.13/9.59 inference(avatar_split_clause,[],[f49676,f80443])).
% 58.13/9.59 tff(f80443,plain,(
% 58.13/9.59 spl5880_400 <=> comm_s4317794764714335236cancel(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_400])])).
% 58.13/9.59 tff(f49676,plain,(
% 58.13/9.59 comm_s4317794764714335236cancel(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9754])).
% 58.13/9.59 tff(f9754,axiom,(
% 58.13/9.59 comm_s4317794764714335236cancel(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1__cancel_544)).
% 58.13/9.59 tff(f80441,plain,(
% 58.13/9.59 spl5880_399),
% 58.13/9.59 inference(avatar_split_clause,[],[f49675,f80438])).
% 58.13/9.59 tff(f80438,plain,(
% 58.13/9.59 spl5880_399 <=> cancel1802427076303600483id_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_399])])).
% 58.13/9.59 tff(f49675,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9309])).
% 58.13/9.59 tff(f9309,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__comm__monoid__add_130)).
% 58.13/9.59 tff(f80436,plain,(
% 58.13/9.59 spl5880_398),
% 58.13/9.59 inference(avatar_split_clause,[],[f49674,f80433])).
% 58.13/9.59 tff(f80433,plain,(
% 58.13/9.59 spl5880_398 <=> cancel1802427076303600483id_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_398])])).
% 58.13/9.59 tff(f49674,plain,(
% 58.13/9.59 cancel1802427076303600483id_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9752])).
% 58.13/9.59 tff(f9752,axiom,(
% 58.13/9.59 cancel1802427076303600483id_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__comm__monoid__add_542)).
% 58.13/9.59 tff(f80431,plain,(
% 58.13/9.59 spl5880_397),
% 58.13/9.59 inference(avatar_split_clause,[],[f49673,f80428])).
% 58.13/9.59 tff(f80428,plain,(
% 58.13/9.59 spl5880_397 <=> cancel2418104881723323429up_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_397])])).
% 58.13/9.59 tff(f49673,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9221])).
% 58.13/9.59 tff(f9221,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__ab__semigroup__add_48)).
% 58.13/9.59 tff(f80426,plain,(
% 58.13/9.59 spl5880_396),
% 58.13/9.59 inference(avatar_split_clause,[],[f49672,f80423])).
% 58.13/9.59 tff(f80423,plain,(
% 58.13/9.59 spl5880_396 <=> cancel2418104881723323429up_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_396])])).
% 58.13/9.59 tff(f49672,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9468])).
% 58.13/9.59 tff(f9468,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add_264)).
% 58.13/9.59 tff(f80421,plain,(
% 58.13/9.59 spl5880_395),
% 58.13/9.59 inference(avatar_split_clause,[],[f49671,f80418])).
% 58.13/9.59 tff(f80418,plain,(
% 58.13/9.59 spl5880_395 <=> cancel2418104881723323429up_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_395])])).
% 58.13/9.59 tff(f49671,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9107])).
% 58.13/9.59 tff(f9107,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__ab__semigroup__add)).
% 58.13/9.59 tff(f80416,plain,(
% 58.13/9.59 spl5880_394),
% 58.13/9.59 inference(avatar_split_clause,[],[f49670,f80413])).
% 58.13/9.59 tff(f80413,plain,(
% 58.13/9.59 spl5880_394 <=> cancel2418104881723323429up_add(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_394])])).
% 58.13/9.59 tff(f49670,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9587])).
% 58.13/9.59 tff(f9587,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__ab__semigroup__add_378)).
% 58.13/9.59 tff(f80411,plain,(
% 58.13/9.59 spl5880_393),
% 58.13/9.59 inference(avatar_split_clause,[],[f49669,f80408])).
% 58.13/9.59 tff(f80408,plain,(
% 58.13/9.59 spl5880_393 <=> cancel2418104881723323429up_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_393])])).
% 58.13/9.59 tff(f49669,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9750])).
% 58.13/9.59 tff(f9750,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__ab__semigroup__add_540)).
% 58.13/9.59 tff(f80406,plain,(
% 58.13/9.59 spl5880_392),
% 58.13/9.59 inference(avatar_split_clause,[],[f49668,f80403])).
% 58.13/9.59 tff(f80403,plain,(
% 58.13/9.59 spl5880_392 <=> cancel2418104881723323429up_add(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_392])])).
% 58.13/9.59 tff(f49668,plain,(
% 58.13/9.59 cancel2418104881723323429up_add(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9307])).
% 58.13/9.59 tff(f9307,axiom,(
% 58.13/9.59 cancel2418104881723323429up_add(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__ab__semigroup__add_128)).
% 58.13/9.59 tff(f80401,plain,(
% 58.13/9.59 spl5880_391),
% 58.13/9.59 inference(avatar_split_clause,[],[f49667,f80398])).
% 58.13/9.59 tff(f80398,plain,(
% 58.13/9.59 spl5880_391 <=> ordered_semiring(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_391])])).
% 58.13/9.59 tff(f49667,plain,(
% 58.13/9.59 ordered_semiring(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9240])).
% 58.13/9.59 tff(f9240,axiom,(
% 58.13/9.59 ordered_semiring(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring_66)).
% 58.13/9.59 tff(f80396,plain,(
% 58.13/9.59 spl5880_390),
% 58.13/9.59 inference(avatar_split_clause,[],[f49666,f80393])).
% 58.13/9.59 tff(f80393,plain,(
% 58.13/9.59 spl5880_390 <=> ordered_semiring(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_390])])).
% 58.13/9.59 tff(f49666,plain,(
% 58.13/9.59 ordered_semiring(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9494])).
% 58.13/9.59 tff(f9494,axiom,(
% 58.13/9.59 ordered_semiring(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring_286)).
% 58.13/9.59 tff(f80391,plain,(
% 58.13/9.59 spl5880_389),
% 58.13/9.59 inference(avatar_split_clause,[],[f49665,f80388])).
% 58.13/9.59 tff(f80388,plain,(
% 58.13/9.59 spl5880_389 <=> ordered_semiring(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_389])])).
% 58.13/9.59 tff(f49665,plain,(
% 58.13/9.59 ordered_semiring(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9129])).
% 58.13/9.59 tff(f9129,axiom,(
% 58.13/9.59 ordered_semiring(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring)).
% 58.13/9.59 tff(f80386,plain,(
% 58.13/9.59 spl5880_388),
% 58.13/9.59 inference(avatar_split_clause,[],[f49664,f80383])).
% 58.13/9.59 tff(f80383,plain,(
% 58.13/9.59 spl5880_388 <=> ordered_semiring(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_388])])).
% 58.13/9.59 tff(f49664,plain,(
% 58.13/9.59 ordered_semiring(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9327])).
% 58.13/9.59 tff(f9327,axiom,(
% 58.13/9.59 ordered_semiring(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring_146)).
% 58.13/9.59 tff(f80381,plain,(
% 58.13/9.59 spl5880_387),
% 58.13/9.59 inference(avatar_split_clause,[],[f49663,f80378])).
% 58.13/9.59 tff(f80378,plain,(
% 58.13/9.59 spl5880_387 <=> ordered_semiring(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_387])])).
% 58.13/9.59 tff(f49663,plain,(
% 58.13/9.59 ordered_semiring(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9768])).
% 58.13/9.59 tff(f9768,axiom,(
% 58.13/9.59 ordered_semiring(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring_558)).
% 58.13/9.59 tff(f80376,plain,(
% 58.13/9.59 spl5880_386),
% 58.13/9.59 inference(avatar_split_clause,[],[f49662,f80373])).
% 58.13/9.59 tff(f80373,plain,(
% 58.13/9.59 spl5880_386 <=> ordered_semiring(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_386])])).
% 58.13/9.59 tff(f49662,plain,(
% 58.13/9.59 ordered_semiring(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9664])).
% 58.13/9.59 tff(f9664,axiom,(
% 58.13/9.59 ordered_semiring(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__semiring_454)).
% 58.13/9.59 tff(f80371,plain,(
% 58.13/9.59 spl5880_385),
% 58.13/9.59 inference(avatar_split_clause,[],[f49661,f80368])).
% 58.13/9.59 tff(f80368,plain,(
% 58.13/9.59 spl5880_385 <=> semiri1453513574482234551roduct(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_385])])).
% 58.13/9.59 tff(f49661,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9189])).
% 58.13/9.59 tff(f9189,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_18)).
% 58.13/9.59 tff(f80366,plain,(
% 58.13/9.59 spl5880_384),
% 58.13/9.59 inference(avatar_split_clause,[],[f49660,f80363])).
% 58.13/9.59 tff(f80363,plain,(
% 58.13/9.59 spl5880_384 <=> semiri6575147826004484403cancel(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_384])])).
% 58.13/9.59 tff(f49660,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9195])).
% 58.13/9.59 tff(f9195,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors__cancel_24)).
% 58.13/9.59 tff(f80361,plain,(
% 58.13/9.59 spl5880_383),
% 58.13/9.59 inference(avatar_split_clause,[],[f49659,f80358])).
% 58.13/9.59 tff(f80358,plain,(
% 58.13/9.59 spl5880_383 <=> semiri1453513574482234551roduct(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_383])])).
% 58.13/9.59 tff(f49659,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9424])).
% 58.13/9.59 tff(f9424,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_237)).
% 58.13/9.59 tff(f80356,plain,(
% 58.13/9.59 spl5880_382),
% 58.13/9.59 inference(avatar_split_clause,[],[f49658,f80353])).
% 58.13/9.59 tff(f80353,plain,(
% 58.13/9.59 spl5880_382 <=> semiri6575147826004484403cancel(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_382])])).
% 58.13/9.59 tff(f49658,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9431])).
% 58.13/9.59 tff(f9431,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors__cancel_239)).
% 58.13/9.59 tff(f80351,plain,(
% 58.13/9.59 spl5880_381),
% 58.13/9.59 inference(avatar_split_clause,[],[f49657,f80348])).
% 58.13/9.59 tff(f80348,plain,(
% 58.13/9.59 spl5880_381 <=> counta3822494911875563373attice($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_381])])).
% 58.13/9.59 tff(f49657,plain,(
% 58.13/9.59 counta3822494911875563373attice($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9400])).
% 58.13/9.59 tff(f9400,axiom,(
% 58.13/9.59 counta3822494911875563373attice($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__lattice_213)).
% 58.13/9.59 tff(f80346,plain,(
% 58.13/9.59 spl5880_380),
% 58.13/9.59 inference(avatar_split_clause,[],[f49656,f80343])).
% 58.13/9.59 tff(f80343,plain,(
% 58.13/9.59 spl5880_380 <=> semiri6575147826004484403cancel(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_380])])).
% 58.13/9.59 tff(f49656,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9078])).
% 58.13/9.59 tff(f9078,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors__cancel)).
% 58.13/9.59 tff(f80341,plain,(
% 58.13/9.59 spl5880_379),
% 58.13/9.59 inference(avatar_split_clause,[],[f49655,f80338])).
% 58.13/9.59 tff(f80338,plain,(
% 58.13/9.59 spl5880_379 <=> semiri1453513574482234551roduct(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_379])])).
% 58.13/9.59 tff(f49655,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9070])).
% 58.13/9.59 tff(f9070,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 58.13/9.59 tff(f80336,plain,(
% 58.13/9.59 spl5880_378),
% 58.13/9.59 inference(avatar_split_clause,[],[f49654,f80333])).
% 58.13/9.59 tff(f80333,plain,(
% 58.13/9.59 spl5880_378 <=> semiri6575147826004484403cancel(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_378])])).
% 58.13/9.59 tff(f49654,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9570])).
% 58.13/9.59 tff(f9570,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors__cancel_361)).
% 58.13/9.59 tff(f80331,plain,(
% 58.13/9.59 spl5880_377),
% 58.13/9.59 inference(avatar_split_clause,[],[f49653,f80328])).
% 58.13/9.59 tff(f80328,plain,(
% 58.13/9.59 spl5880_377 <=> semiri1453513574482234551roduct(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_377])])).
% 58.13/9.59 tff(f49653,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9566])).
% 58.13/9.59 tff(f9566,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_357)).
% 58.13/9.59 tff(f80326,plain,(
% 58.13/9.59 spl5880_376),
% 58.13/9.59 inference(avatar_split_clause,[],[f49652,f80323])).
% 58.13/9.59 tff(f80323,plain,(
% 58.13/9.59 spl5880_376 <=> semiri1453513574482234551roduct(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_376])])).
% 58.13/9.59 tff(f49652,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9285])).
% 58.13/9.59 tff(f9285,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_109)).
% 58.13/9.59 tff(f80321,plain,(
% 58.13/9.59 spl5880_375),
% 58.13/9.59 inference(avatar_split_clause,[],[f49651,f80318])).
% 58.13/9.59 tff(f80318,plain,(
% 58.13/9.59 spl5880_375 <=> semiri6575147826004484403cancel(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_375])])).
% 58.13/9.59 tff(f49651,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9729])).
% 58.13/9.59 tff(f9729,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors__cancel_519)).
% 58.13/9.59 tff(f80316,plain,(
% 58.13/9.59 spl5880_374),
% 58.13/9.59 inference(avatar_split_clause,[],[f49650,f80313])).
% 58.13/9.59 tff(f80313,plain,(
% 58.13/9.59 spl5880_374 <=> semiri6575147826004484403cancel(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_374])])).
% 58.13/9.59 tff(f49650,plain,(
% 58.13/9.59 semiri6575147826004484403cancel(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9287])).
% 58.13/9.59 tff(f9287,axiom,(
% 58.13/9.59 semiri6575147826004484403cancel(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors__cancel_111)).
% 58.13/9.59 tff(f80311,plain,(
% 58.13/9.59 spl5880_373),
% 58.13/9.59 inference(avatar_split_clause,[],[f49649,f80308])).
% 58.13/9.59 tff(f80308,plain,(
% 58.13/9.59 spl5880_373 <=> semiri1453513574482234551roduct(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_373])])).
% 58.13/9.59 tff(f49649,plain,(
% 58.13/9.59 semiri1453513574482234551roduct(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9721])).
% 58.13/9.59 tff(f9721,axiom,(
% 58.13/9.59 semiri1453513574482234551roduct(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_511)).
% 58.13/9.59 tff(f80306,plain,(
% 58.13/9.59 spl5880_372),
% 58.13/9.59 inference(avatar_split_clause,[],[f49648,f80303])).
% 58.13/9.59 tff(f80303,plain,(
% 58.13/9.59 spl5880_372 <=> counta3822494911875563373attice(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_372])])).
% 58.13/9.59 tff(f49648,plain,(
% 58.13/9.59 counta3822494911875563373attice(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9644])).
% 58.13/9.59 tff(f9644,axiom,(
% 58.13/9.59 counta3822494911875563373attice(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__lattice_435)).
% 58.13/9.59 tff(f80301,plain,(
% 58.13/9.59 spl5880_371),
% 58.13/9.59 inference(avatar_split_clause,[],[f49647,f80298])).
% 58.13/9.59 tff(f80298,plain,(
% 58.13/9.59 spl5880_371 <=> counta3822494911875563373attice(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_371])])).
% 58.13/9.59 tff(f49647,plain,(
% 58.13/9.59 counta3822494911875563373attice(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9701])).
% 58.13/9.59 tff(f9701,axiom,(
% 58.13/9.59 counta3822494911875563373attice(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__lattice_491)).
% 58.13/9.59 tff(f80296,plain,(
% 58.13/9.59 spl5880_370),
% 58.13/9.59 inference(avatar_split_clause,[],[f49646,f80293])).
% 58.13/9.59 tff(f80293,plain,(
% 58.13/9.59 spl5880_370 <=> semiri2026040879449505780visors(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_370])])).
% 58.13/9.59 tff(f49646,plain,(
% 58.13/9.59 semiri2026040879449505780visors(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9212])).
% 58.13/9.59 tff(f9212,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__no__zero__divisors_39)).
% 58.13/9.59 tff(f80291,plain,(
% 58.13/9.59 spl5880_369),
% 58.13/9.59 inference(avatar_split_clause,[],[f49645,f80288])).
% 58.13/9.59 tff(f80288,plain,(
% 58.13/9.59 spl5880_369 <=> semiri2026040879449505780visors(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_369])])).
% 58.13/9.59 tff(f49645,plain,(
% 58.13/9.59 semiri2026040879449505780visors(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9451])).
% 58.13/9.59 tff(f9451,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__no__zero__divisors_254)).
% 58.13/9.59 tff(f80286,plain,(
% 58.13/9.59 spl5880_368),
% 58.13/9.59 inference(avatar_split_clause,[],[f49644,f80283])).
% 58.13/9.59 tff(f80283,plain,(
% 58.13/9.59 spl5880_368 <=> bounde4967611905675639751up_bot($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_368])])).
% 58.13/9.59 tff(f49644,plain,(
% 58.13/9.59 bounde4967611905675639751up_bot($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9404])).
% 58.13/9.59 tff(f9404,axiom,(
% 58.13/9.59 bounde4967611905675639751up_bot($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__sup__bot_217)).
% 58.13/9.59 tff(f80281,plain,(
% 58.13/9.59 spl5880_367),
% 58.13/9.59 inference(avatar_split_clause,[],[f49643,f80278])).
% 58.13/9.59 tff(f80278,plain,(
% 58.13/9.59 spl5880_367 <=> bounded_lattice($o)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_367])])).
% 58.13/9.59 tff(f49643,plain,(
% 58.13/9.59 bounded_lattice($o)),
% 58.13/9.59 inference(cnf_transformation,[],[f9047])).
% 58.13/9.59 tff(f9047,axiom,(
% 58.13/9.59 bounded_lattice($o)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice_3)).
% 58.13/9.59 tff(f80276,plain,(
% 58.13/9.59 spl5880_366),
% 58.13/9.59 inference(avatar_split_clause,[],[f49642,f80273])).
% 58.13/9.59 tff(f80273,plain,(
% 58.13/9.59 spl5880_366 <=> semiri2026040879449505780visors(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_366])])).
% 58.13/9.59 tff(f49642,plain,(
% 58.13/9.59 semiri2026040879449505780visors(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9095])).
% 58.13/9.59 tff(f9095,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__no__zero__divisors)).
% 58.13/9.59 tff(f80271,plain,(
% 58.13/9.59 spl5880_365),
% 58.13/9.59 inference(avatar_split_clause,[],[f49641,f80268])).
% 58.13/9.59 tff(f80268,plain,(
% 58.13/9.59 spl5880_365 <=> semiri2026040879449505780visors(complex)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_365])])).
% 58.13/9.59 tff(f49641,plain,(
% 58.13/9.59 semiri2026040879449505780visors(complex)),
% 58.13/9.59 inference(cnf_transformation,[],[f9577])).
% 58.13/9.59 tff(f9577,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(complex)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__no__zero__divisors_368)).
% 58.13/9.59 tff(f80266,plain,(
% 58.13/9.59 spl5880_364),
% 58.13/9.59 inference(avatar_split_clause,[],[f49640,f80263])).
% 58.13/9.59 tff(f80263,plain,(
% 58.13/9.59 spl5880_364 <=> semiri2026040879449505780visors(rat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_364])])).
% 58.13/9.59 tff(f49640,plain,(
% 58.13/9.59 semiri2026040879449505780visors(rat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9298])).
% 58.13/9.59 tff(f9298,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(rat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__no__zero__divisors_120)).
% 58.13/9.59 tff(f80261,plain,(
% 58.13/9.59 spl5880_363),
% 58.13/9.59 inference(avatar_split_clause,[],[f49639,f80258])).
% 58.13/9.59 tff(f80258,plain,(
% 58.13/9.59 spl5880_363 <=> semiri2026040879449505780visors(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_363])])).
% 58.13/9.59 tff(f49639,plain,(
% 58.13/9.59 semiri2026040879449505780visors(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9741])).
% 58.13/9.59 tff(f9741,axiom,(
% 58.13/9.59 semiri2026040879449505780visors(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__no__zero__divisors_531)).
% 58.13/9.59 tff(f80256,plain,(
% 58.13/9.59 spl5880_362),
% 58.13/9.59 inference(avatar_split_clause,[],[f49638,f80253])).
% 58.13/9.59 tff(f80253,plain,(
% 58.13/9.59 spl5880_362 <=> bounde4967611905675639751up_bot(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_362])])).
% 58.13/9.59 tff(f49638,plain,(
% 58.13/9.59 bounde4967611905675639751up_bot(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9649])).
% 58.13/9.59 tff(f9649,axiom,(
% 58.13/9.59 bounde4967611905675639751up_bot(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__sup__bot_440)).
% 58.13/9.59 tff(f80251,plain,(
% 58.13/9.59 spl5880_361),
% 58.13/9.59 inference(avatar_split_clause,[],[f49637,f80248])).
% 58.13/9.59 tff(f80248,plain,(
% 58.13/9.59 spl5880_361 <=> bounded_lattice(extended_enat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_361])])).
% 58.13/9.59 tff(f49637,plain,(
% 58.13/9.59 bounded_lattice(extended_enat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9045])).
% 58.13/9.59 tff(f9045,axiom,(
% 58.13/9.59 bounded_lattice(extended_enat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice_1)).
% 58.13/9.59 tff(f80246,plain,(
% 58.13/9.59 spl5880_360),
% 58.13/9.59 inference(avatar_split_clause,[],[f49636,f80243])).
% 58.13/9.59 tff(f80243,plain,(
% 58.13/9.59 spl5880_360 <=> bounde4967611905675639751up_bot(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_360])])).
% 58.13/9.59 tff(f49636,plain,(
% 58.13/9.59 bounde4967611905675639751up_bot(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9703])).
% 58.13/9.59 tff(f9703,axiom,(
% 58.13/9.59 bounde4967611905675639751up_bot(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__sup__bot_493)).
% 58.13/9.59 tff(f80241,plain,(
% 58.13/9.59 spl5880_359),
% 58.13/9.59 inference(avatar_split_clause,[],[f49635,f80238])).
% 58.13/9.59 tff(f80238,plain,(
% 58.13/9.59 spl5880_359 <=> bounded_lattice(product_unit)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_359])])).
% 58.13/9.59 tff(f49635,plain,(
% 58.13/9.59 bounded_lattice(product_unit)),
% 58.13/9.59 inference(cnf_transformation,[],[f9044])).
% 58.13/9.59 tff(f9044,axiom,(
% 58.13/9.59 bounded_lattice(product_unit)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice)).
% 58.13/9.59 tff(f80236,plain,(
% 58.13/9.59 spl5880_358),
% 58.13/9.59 inference(avatar_split_clause,[],[f49634,f80233])).
% 58.13/9.59 tff(f80233,plain,(
% 58.13/9.59 spl5880_358 <=> zero_less_one(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_358])])).
% 58.13/9.59 tff(f49634,plain,(
% 58.13/9.59 zero_less_one(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9251])).
% 58.13/9.59 tff(f9251,axiom,(
% 58.13/9.59 zero_less_one(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__less__one_77)).
% 58.13/9.59 tff(f80231,plain,(
% 58.13/9.59 spl5880_357),
% 58.13/9.59 inference(avatar_split_clause,[],[f49633,f80228])).
% 58.13/9.59 tff(f80228,plain,(
% 58.13/9.59 spl5880_357 <=> linord4140545234300271783up_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_357])])).
% 58.13/9.59 tff(f49633,plain,(
% 58.13/9.59 linord4140545234300271783up_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9210])).
% 58.13/9.59 tff(f9210,axiom,(
% 58.13/9.59 linord4140545234300271783up_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Olinordered__ab__semigroup__add_37)).
% 58.13/9.59 tff(f80226,plain,(
% 58.13/9.59 spl5880_356),
% 58.13/9.59 inference(avatar_split_clause,[],[f49632,f80223])).
% 58.13/9.59 tff(f80223,plain,(
% 58.13/9.59 spl5880_356 <=> strict9044650504122735259up_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_356])])).
% 58.13/9.59 tff(f49632,plain,(
% 58.13/9.59 strict9044650504122735259up_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9196])).
% 58.13/9.59 tff(f9196,axiom,(
% 58.13/9.59 strict9044650504122735259up_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__ab__semigroup__add_25)).
% 58.13/9.59 tff(f80221,plain,(
% 58.13/9.59 spl5880_355),
% 58.13/9.59 inference(avatar_split_clause,[],[f49631,f80218])).
% 58.13/9.59 tff(f80218,plain,(
% 58.13/9.59 spl5880_355 <=> strict7427464778891057005id_add(nat)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_355])])).
% 58.13/9.59 tff(f49631,plain,(
% 58.13/9.59 strict7427464778891057005id_add(nat)),
% 58.13/9.59 inference(cnf_transformation,[],[f9202])).
% 58.13/9.59 tff(f9202,axiom,(
% 58.13/9.59 strict7427464778891057005id_add(nat)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__comm__monoid__add_30)).
% 58.13/9.59 tff(f80216,plain,(
% 58.13/9.59 spl5880_354),
% 58.13/9.59 inference(avatar_split_clause,[],[f49630,f80213])).
% 58.13/9.59 tff(f80213,plain,(
% 58.13/9.59 spl5880_354 <=> linord4140545234300271783up_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_354])])).
% 58.13/9.59 tff(f49630,plain,(
% 58.13/9.59 linord4140545234300271783up_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9449])).
% 58.13/9.59 tff(f9449,axiom,(
% 58.13/9.59 linord4140545234300271783up_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__semigroup__add_252)).
% 58.13/9.59 tff(f80211,plain,(
% 58.13/9.59 spl5880_353),
% 58.13/9.59 inference(avatar_split_clause,[],[f49629,f80208])).
% 58.13/9.59 tff(f80208,plain,(
% 58.13/9.59 spl5880_353 <=> zero_less_one(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_353])])).
% 58.13/9.59 tff(f49629,plain,(
% 58.13/9.59 zero_less_one(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9508])).
% 58.13/9.59 tff(f9508,axiom,(
% 58.13/9.59 zero_less_one(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__less__one_300)).
% 58.13/9.59 tff(f80206,plain,(
% 58.13/9.59 spl5880_352),
% 58.13/9.59 inference(avatar_split_clause,[],[f49628,f80203])).
% 58.13/9.59 tff(f80203,plain,(
% 58.13/9.59 spl5880_352 <=> strict7427464778891057005id_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_352])])).
% 58.13/9.59 tff(f49628,plain,(
% 58.13/9.59 strict7427464778891057005id_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9439])).
% 58.13/9.59 tff(f9439,axiom,(
% 58.13/9.59 strict7427464778891057005id_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add_244)).
% 58.13/9.59 tff(f80201,plain,(
% 58.13/9.59 spl5880_351),
% 58.13/9.59 inference(avatar_split_clause,[],[f49627,f80198])).
% 58.13/9.59 tff(f80198,plain,(
% 58.13/9.59 spl5880_351 <=> strict9044650504122735259up_add(real)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_351])])).
% 58.13/9.59 tff(f49627,plain,(
% 58.13/9.59 strict9044650504122735259up_add(real)),
% 58.13/9.59 inference(cnf_transformation,[],[f9434])).
% 58.13/9.59 tff(f9434,axiom,(
% 58.13/9.59 strict9044650504122735259up_add(real)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add_240)).
% 58.13/9.59 tff(f80196,plain,(
% 58.13/9.59 spl5880_350),
% 58.13/9.59 inference(avatar_split_clause,[],[f49626,f80193])).
% 58.13/9.59 tff(f80193,plain,(
% 58.13/9.59 spl5880_350 <=> linord4140545234300271783up_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_350])])).
% 58.13/9.59 tff(f49626,plain,(
% 58.13/9.59 linord4140545234300271783up_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9092])).
% 58.13/9.59 tff(f9092,axiom,(
% 58.13/9.59 linord4140545234300271783up_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__semigroup__add)).
% 58.13/9.59 tff(f80191,plain,(
% 58.13/9.59 spl5880_349),
% 58.13/9.59 inference(avatar_split_clause,[],[f49625,f80188])).
% 58.13/9.59 tff(f80188,plain,(
% 58.13/9.59 spl5880_349 <=> strict9044650504122735259up_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_349])])).
% 58.13/9.59 tff(f49625,plain,(
% 58.13/9.59 strict9044650504122735259up_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9079])).
% 58.13/9.59 tff(f9079,axiom,(
% 58.13/9.59 strict9044650504122735259up_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__ab__semigroup__add)).
% 58.13/9.59 tff(f80186,plain,(
% 58.13/9.59 spl5880_348),
% 58.13/9.59 inference(avatar_split_clause,[],[f49624,f80183])).
% 58.13/9.59 tff(f80183,plain,(
% 58.13/9.59 spl5880_348 <=> zero_less_one(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_348])])).
% 58.13/9.59 tff(f49624,plain,(
% 58.13/9.59 zero_less_one(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9143])).
% 58.13/9.59 tff(f9143,axiom,(
% 58.13/9.59 zero_less_one(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__less__one)).
% 58.13/9.59 tff(f80181,plain,(
% 58.13/9.59 spl5880_347),
% 58.13/9.59 inference(avatar_split_clause,[],[f49623,f80178])).
% 58.13/9.59 tff(f80178,plain,(
% 58.13/9.59 spl5880_347 <=> strict7427464778891057005id_add(int)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_347])])).
% 58.13/9.59 tff(f49623,plain,(
% 58.13/9.59 strict7427464778891057005id_add(int)),
% 58.13/9.59 inference(cnf_transformation,[],[f9084])).
% 58.13/9.59 tff(f9084,axiom,(
% 58.13/9.59 strict7427464778891057005id_add(int)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__comm__monoid__add)).
% 58.13/9.59 tff(f80176,plain,(
% 58.13/9.59 spl5880_346),
% 58.13/9.59 inference(avatar_split_clause,[],[f49622,f80173])).
% 58.13/9.59 tff(f80173,plain,(
% 58.13/9.59 spl5880_346 <=> strict7427464778891057005id_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_346])])).
% 58.13/9.59 tff(f49622,plain,(
% 58.13/9.59 strict7427464778891057005id_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9735])).
% 58.13/9.59 tff(f9735,axiom,(
% 58.13/9.59 strict7427464778891057005id_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__comm__monoid__add_525)).
% 58.13/9.59 tff(f80171,plain,(
% 58.13/9.59 spl5880_345),
% 58.13/9.59 inference(avatar_split_clause,[],[f49621,f80168])).
% 58.13/9.59 tff(f80168,plain,(
% 58.13/9.59 spl5880_345 <=> strict9044650504122735259up_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_345])])).
% 58.13/9.59 tff(f49621,plain,(
% 58.13/9.59 strict9044650504122735259up_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9730])).
% 58.13/9.59 tff(f9730,axiom,(
% 58.13/9.59 strict9044650504122735259up_add(code_integer)),
% 58.13/9.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__ab__semigroup__add_520)).
% 58.13/9.59 tff(f80166,plain,(
% 58.13/9.59 spl5880_344),
% 58.13/9.59 inference(avatar_split_clause,[],[f49620,f80163])).
% 58.13/9.59 tff(f80163,plain,(
% 58.13/9.59 spl5880_344 <=> linord4140545234300271783up_add(code_integer)),
% 58.13/9.59 introduced(avatar_definition,[new_symbols(naming,[spl5880_344])])).
% 58.13/9.59 tff(f49620,plain,(
% 58.13/9.59 linord4140545234300271783up_add(code_integer)),
% 58.13/9.59 inference(cnf_transformation,[],[f9739])).
% 58.13/9.60 tff(f9739,axiom,(
% 58.13/9.60 linord4140545234300271783up_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__semigroup__add_529)).
% 58.13/9.60 tff(f80161,plain,(
% 58.13/9.60 spl5880_343),
% 58.13/9.60 inference(avatar_split_clause,[],[f49619,f80158])).
% 58.13/9.60 tff(f80158,plain,(
% 58.13/9.60 spl5880_343 <=> linord4140545234300271783up_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_343])])).
% 58.13/9.60 tff(f49619,plain,(
% 58.13/9.60 linord4140545234300271783up_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9297])).
% 58.13/9.60 tff(f9297,axiom,(
% 58.13/9.60 linord4140545234300271783up_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__semigroup__add_119)).
% 58.13/9.60 tff(f80156,plain,(
% 58.13/9.60 spl5880_342),
% 58.13/9.60 inference(avatar_split_clause,[],[f49618,f80153])).
% 58.13/9.60 tff(f80153,plain,(
% 58.13/9.60 spl5880_342 <=> zero_less_one(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_342])])).
% 58.13/9.60 tff(f49618,plain,(
% 58.13/9.60 zero_less_one(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9782])).
% 58.13/9.60 tff(f9782,axiom,(
% 58.13/9.60 zero_less_one(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__less__one_572)).
% 58.13/9.60 tff(f80151,plain,(
% 58.13/9.60 spl5880_341),
% 58.13/9.60 inference(avatar_split_clause,[],[f49617,f80148])).
% 58.13/9.60 tff(f80148,plain,(
% 58.13/9.60 spl5880_341 <=> strict7427464778891057005id_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_341])])).
% 58.13/9.60 tff(f49617,plain,(
% 58.13/9.60 strict7427464778891057005id_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9292])).
% 58.13/9.60 tff(f9292,axiom,(
% 58.13/9.60 strict7427464778891057005id_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__comm__monoid__add_116)).
% 58.13/9.60 tff(f80146,plain,(
% 58.13/9.60 spl5880_340),
% 58.13/9.60 inference(avatar_split_clause,[],[f49616,f80143])).
% 58.13/9.60 tff(f80143,plain,(
% 58.13/9.60 spl5880_340 <=> zero_less_one(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_340])])).
% 58.13/9.60 tff(f49616,plain,(
% 58.13/9.60 zero_less_one(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9341])).
% 58.13/9.60 tff(f9341,axiom,(
% 58.13/9.60 zero_less_one(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__less__one_157)).
% 58.13/9.60 tff(f80141,plain,(
% 58.13/9.60 spl5880_339),
% 58.13/9.60 inference(avatar_split_clause,[],[f49615,f80138])).
% 58.13/9.60 tff(f80138,plain,(
% 58.13/9.60 spl5880_339 <=> strict9044650504122735259up_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_339])])).
% 58.13/9.60 tff(f49615,plain,(
% 58.13/9.60 strict9044650504122735259up_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9288])).
% 58.13/9.60 tff(f9288,axiom,(
% 58.13/9.60 strict9044650504122735259up_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__ab__semigroup__add_112)).
% 58.13/9.60 tff(f80136,plain,(
% 58.13/9.60 spl5880_338),
% 58.13/9.60 inference(avatar_split_clause,[],[f49614,f80133])).
% 58.13/9.60 tff(f80133,plain,(
% 58.13/9.60 spl5880_338 <=> strict9044650504122735259up_add(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_338])])).
% 58.13/9.60 tff(f49614,plain,(
% 58.13/9.60 strict9044650504122735259up_add(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9646])).
% 58.13/9.60 tff(f9646,axiom,(
% 58.13/9.60 strict9044650504122735259up_add(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__ab__semigroup__add_437)).
% 58.13/9.60 tff(f80131,plain,(
% 58.13/9.60 spl5880_337),
% 58.13/9.60 inference(avatar_split_clause,[],[f49613,f80128])).
% 58.13/9.60 tff(f80128,plain,(
% 58.13/9.60 spl5880_337 <=> strict7427464778891057005id_add(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_337])])).
% 58.13/9.60 tff(f49613,plain,(
% 58.13/9.60 strict7427464778891057005id_add(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9647])).
% 58.13/9.60 tff(f9647,axiom,(
% 58.13/9.60 strict7427464778891057005id_add(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__comm__monoid__add_438)).
% 58.13/9.60 tff(f80126,plain,(
% 58.13/9.60 spl5880_336),
% 58.13/9.60 inference(avatar_split_clause,[],[f49612,f80123])).
% 58.13/9.60 tff(f80123,plain,(
% 58.13/9.60 spl5880_336 <=> linord4140545234300271783up_add(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_336])])).
% 58.13/9.60 tff(f49612,plain,(
% 58.13/9.60 linord4140545234300271783up_add(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9652])).
% 58.13/9.60 tff(f9652,axiom,(
% 58.13/9.60 linord4140545234300271783up_add(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Olinordered__ab__semigroup__add_442)).
% 58.13/9.60 tff(f80121,plain,(
% 58.13/9.60 spl5880_335),
% 58.13/9.60 inference(avatar_split_clause,[],[f49611,f80118])).
% 58.13/9.60 tff(f80118,plain,(
% 58.13/9.60 spl5880_335 <=> zero_less_one(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_335])])).
% 58.13/9.60 tff(f49611,plain,(
% 58.13/9.60 zero_less_one(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9671])).
% 58.13/9.60 tff(f9671,axiom,(
% 58.13/9.60 zero_less_one(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__less__one_461)).
% 58.13/9.60 tff(f80116,plain,(
% 58.13/9.60 spl5880_334),
% 58.13/9.60 inference(avatar_split_clause,[],[f49610,f80113])).
% 58.13/9.60 tff(f80113,plain,(
% 58.13/9.60 spl5880_334 <=> semiring_1_cancel(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_334])])).
% 58.13/9.60 tff(f49610,plain,(
% 58.13/9.60 semiring_1_cancel(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9235])).
% 58.13/9.60 tff(f9235,axiom,(
% 58.13/9.60 semiring_1_cancel(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__cancel_62)).
% 58.13/9.60 tff(f80111,plain,(
% 58.13/9.60 spl5880_333),
% 58.13/9.60 inference(avatar_split_clause,[],[f49609,f80108])).
% 58.13/9.60 tff(f80108,plain,(
% 58.13/9.60 spl5880_333 <=> ordere2520102378445227354miring(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_333])])).
% 58.13/9.60 tff(f49609,plain,(
% 58.13/9.60 ordere2520102378445227354miring(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9227])).
% 58.13/9.60 tff(f9227,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__comm__semiring_54)).
% 58.13/9.60 tff(f80106,plain,(
% 58.13/9.60 spl5880_332),
% 58.13/9.60 inference(avatar_split_clause,[],[f49608,f80103])).
% 58.13/9.60 tff(f80103,plain,(
% 58.13/9.60 spl5880_332 <=> ordere2520102378445227354miring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_332])])).
% 58.13/9.60 tff(f49608,plain,(
% 58.13/9.60 ordere2520102378445227354miring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9478])).
% 58.13/9.60 tff(f9478,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__comm__semiring_271)).
% 58.13/9.60 tff(f80101,plain,(
% 58.13/9.60 spl5880_331),
% 58.13/9.60 inference(avatar_split_clause,[],[f49607,f80098])).
% 58.13/9.60 tff(f80098,plain,(
% 58.13/9.60 spl5880_331 <=> semiring_1_cancel(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_331])])).
% 58.13/9.60 tff(f49607,plain,(
% 58.13/9.60 semiring_1_cancel(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9490])).
% 58.13/9.60 tff(f9490,axiom,(
% 58.13/9.60 semiring_1_cancel(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__cancel_282)).
% 58.13/9.60 tff(f80096,plain,(
% 58.13/9.60 spl5880_330),
% 58.13/9.60 inference(avatar_split_clause,[],[f49606,f80093])).
% 58.13/9.60 tff(f80093,plain,(
% 58.13/9.60 spl5880_330 <=> semiring_1_cancel(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_330])])).
% 58.13/9.60 tff(f49606,plain,(
% 58.13/9.60 semiring_1_cancel(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9125])).
% 58.13/9.60 tff(f9125,axiom,(
% 58.13/9.60 semiring_1_cancel(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__cancel)).
% 58.13/9.60 tff(f80091,plain,(
% 58.13/9.60 spl5880_329),
% 58.13/9.60 inference(avatar_split_clause,[],[f49605,f80088])).
% 58.13/9.60 tff(f80088,plain,(
% 58.13/9.60 spl5880_329 <=> ordere2520102378445227354miring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_329])])).
% 58.13/9.60 tff(f49605,plain,(
% 58.13/9.60 ordere2520102378445227354miring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9115])).
% 58.13/9.60 tff(f9115,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__comm__semiring)).
% 58.13/9.60 tff(f80086,plain,(
% 58.13/9.60 spl5880_328),
% 58.13/9.60 inference(avatar_split_clause,[],[f49604,f80083])).
% 58.13/9.60 tff(f80083,plain,(
% 58.13/9.60 spl5880_328 <=> semiring_1_cancel(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_328])])).
% 58.13/9.60 tff(f49604,plain,(
% 58.13/9.60 semiring_1_cancel(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9599])).
% 58.13/9.60 tff(f9599,axiom,(
% 58.13/9.60 semiring_1_cancel(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__cancel_390)).
% 58.13/9.60 tff(f80081,plain,(
% 58.13/9.60 spl5880_327),
% 58.13/9.60 inference(avatar_split_clause,[],[f49603,f80078])).
% 58.13/9.60 tff(f80078,plain,(
% 58.13/9.60 spl5880_327 <=> semiring_1_cancel(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_327])])).
% 58.13/9.60 tff(f49603,plain,(
% 58.13/9.60 semiring_1_cancel(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9323])).
% 58.13/9.60 tff(f9323,axiom,(
% 58.13/9.60 semiring_1_cancel(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__cancel_143)).
% 58.13/9.60 tff(f80076,plain,(
% 58.13/9.60 spl5880_326),
% 58.13/9.60 inference(avatar_split_clause,[],[f49602,f80073])).
% 58.13/9.60 tff(f80073,plain,(
% 58.13/9.60 spl5880_326 <=> ordere2520102378445227354miring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_326])])).
% 58.13/9.60 tff(f49602,plain,(
% 58.13/9.60 ordere2520102378445227354miring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9312])).
% 58.13/9.60 tff(f9312,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__comm__semiring_133)).
% 58.13/9.60 tff(f80071,plain,(
% 58.13/9.60 spl5880_325),
% 58.13/9.60 inference(avatar_split_clause,[],[f49601,f80068])).
% 58.13/9.60 tff(f80068,plain,(
% 58.13/9.60 spl5880_325 <=> ordere2520102378445227354miring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_325])])).
% 58.13/9.60 tff(f49601,plain,(
% 58.13/9.60 ordere2520102378445227354miring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9756])).
% 58.13/9.60 tff(f9756,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__comm__semiring_546)).
% 58.13/9.60 tff(f80066,plain,(
% 58.13/9.60 spl5880_324),
% 58.13/9.60 inference(avatar_split_clause,[],[f49600,f80063])).
% 58.13/9.60 tff(f80063,plain,(
% 58.13/9.60 spl5880_324 <=> semiring_1_cancel(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_324])])).
% 58.13/9.60 tff(f49600,plain,(
% 58.13/9.60 semiring_1_cancel(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9764])).
% 58.13/9.60 tff(f9764,axiom,(
% 58.13/9.60 semiring_1_cancel(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__cancel_554)).
% 58.13/9.60 tff(f80061,plain,(
% 58.13/9.60 spl5880_323),
% 58.13/9.60 inference(avatar_split_clause,[],[f49599,f80058])).
% 58.13/9.60 tff(f80058,plain,(
% 58.13/9.60 spl5880_323 <=> ordere2520102378445227354miring(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_323])])).
% 58.13/9.60 tff(f49599,plain,(
% 58.13/9.60 ordere2520102378445227354miring(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9658])).
% 58.13/9.60 tff(f9658,axiom,(
% 58.13/9.60 ordere2520102378445227354miring(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__comm__semiring_448)).
% 58.13/9.60 tff(f80056,plain,(
% 58.13/9.60 spl5880_322),
% 58.13/9.60 inference(avatar_split_clause,[],[f49598,f80053])).
% 58.13/9.60 tff(f80053,plain,(
% 58.13/9.60 spl5880_322 <=> ring_1(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_322])])).
% 58.13/9.60 tff(f49598,plain,(
% 58.13/9.60 ring_1(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9538])).
% 58.13/9.60 tff(f9538,axiom,(
% 58.13/9.60 ring_1(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1_329)).
% 58.13/9.60 tff(f80051,plain,(
% 58.13/9.60 spl5880_321),
% 58.13/9.60 inference(avatar_split_clause,[],[f49597,f80048])).
% 58.13/9.60 tff(f80048,plain,(
% 58.13/9.60 spl5880_321 <=> ring_1(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_321])])).
% 58.13/9.60 tff(f49597,plain,(
% 58.13/9.60 ring_1(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9174])).
% 58.13/9.60 tff(f9174,axiom,(
% 58.13/9.60 ring_1(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1)).
% 58.13/9.60 tff(f80046,plain,(
% 58.13/9.60 spl5880_320),
% 58.13/9.60 inference(avatar_split_clause,[],[f49596,f80043])).
% 58.13/9.60 tff(f80043,plain,(
% 58.13/9.60 spl5880_320 <=> ring_1(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_320])])).
% 58.13/9.60 tff(f49596,plain,(
% 58.13/9.60 ring_1(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9631])).
% 58.13/9.60 tff(f9631,axiom,(
% 58.13/9.60 ring_1(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1_422)).
% 58.13/9.60 tff(f80041,plain,(
% 58.13/9.60 spl5880_319),
% 58.13/9.60 inference(avatar_split_clause,[],[f49595,f80038])).
% 58.13/9.60 tff(f49595,plain,(
% 58.13/9.60 ring_1(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9370])).
% 58.13/9.60 tff(f9370,axiom,(
% 58.13/9.60 ring_1(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1_184)).
% 58.13/9.60 tff(f80036,plain,(
% 58.13/9.60 spl5880_318),
% 58.13/9.60 inference(avatar_split_clause,[],[f49594,f80033])).
% 58.13/9.60 tff(f80033,plain,(
% 58.13/9.60 spl5880_318 <=> ring_1(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_318])])).
% 58.13/9.60 tff(f49594,plain,(
% 58.13/9.60 ring_1(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9808])).
% 58.13/9.60 tff(f9808,axiom,(
% 58.13/9.60 ring_1(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1_598)).
% 58.13/9.60 tff(f80031,plain,(
% 58.13/9.60 spl5880_317),
% 58.13/9.60 inference(avatar_split_clause,[],[f49593,f80028])).
% 58.13/9.60 tff(f80028,plain,(
% 58.13/9.60 spl5880_317 <=> linordered_semidom(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_317])])).
% 58.13/9.60 tff(f49593,plain,(
% 58.13/9.60 linordered_semidom(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9231])).
% 58.13/9.60 tff(f9231,axiom,(
% 58.13/9.60 linordered_semidom(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semidom_58)).
% 58.13/9.60 tff(f80026,plain,(
% 58.13/9.60 spl5880_316),
% 58.13/9.60 inference(avatar_split_clause,[],[f49592,f80023])).
% 58.13/9.60 tff(f80023,plain,(
% 58.13/9.60 spl5880_316 <=> linordered_semidom(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_316])])).
% 58.13/9.60 tff(f49592,plain,(
% 58.13/9.60 linordered_semidom(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9485])).
% 58.13/9.60 tff(f9485,axiom,(
% 58.13/9.60 linordered_semidom(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semidom_277)).
% 58.13/9.60 tff(f80021,plain,(
% 58.13/9.60 spl5880_315),
% 58.13/9.60 inference(avatar_split_clause,[],[f49591,f80018])).
% 58.13/9.60 tff(f80018,plain,(
% 58.13/9.60 spl5880_315 <=> linordered_semidom(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_315])])).
% 58.13/9.60 tff(f49591,plain,(
% 58.13/9.60 linordered_semidom(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9121])).
% 58.13/9.60 tff(f9121,axiom,(
% 58.13/9.60 linordered_semidom(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semidom)).
% 58.13/9.60 tff(f80016,plain,(
% 58.13/9.60 spl5880_314),
% 58.13/9.60 inference(avatar_split_clause,[],[f49590,f80013])).
% 58.13/9.60 tff(f80013,plain,(
% 58.13/9.60 spl5880_314 <=> linordered_semidom(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_314])])).
% 58.13/9.60 tff(f49590,plain,(
% 58.13/9.60 linordered_semidom(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9318])).
% 58.13/9.60 tff(f9318,axiom,(
% 58.13/9.60 linordered_semidom(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semidom_139)).
% 58.13/9.60 tff(f80011,plain,(
% 58.13/9.60 spl5880_313),
% 58.13/9.60 inference(avatar_split_clause,[],[f49589,f80008])).
% 58.13/9.60 tff(f80008,plain,(
% 58.13/9.60 spl5880_313 <=> linordered_semidom(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_313])])).
% 58.13/9.60 tff(f49589,plain,(
% 58.13/9.60 linordered_semidom(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9762])).
% 58.13/9.60 tff(f9762,axiom,(
% 58.13/9.60 linordered_semidom(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semidom_552)).
% 58.13/9.60 tff(f80006,plain,(
% 58.13/9.60 spl5880_312),
% 58.13/9.60 inference(avatar_split_clause,[],[f49588,f80003])).
% 58.13/9.60 tff(f80003,plain,(
% 58.13/9.60 spl5880_312 <=> neg_numeral(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_312])])).
% 58.13/9.60 tff(f49588,plain,(
% 58.13/9.60 neg_numeral(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9532])).
% 58.13/9.60 tff(f9532,axiom,(
% 58.13/9.60 neg_numeral(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Oneg__numeral_323)).
% 58.13/9.60 tff(f80001,plain,(
% 58.13/9.60 spl5880_311),
% 58.13/9.60 inference(avatar_split_clause,[],[f49587,f79998])).
% 58.13/9.60 tff(f49587,plain,(
% 58.13/9.60 neg_numeral(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9169])).
% 58.13/9.60 tff(f9169,axiom,(
% 58.13/9.60 neg_numeral(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Oneg__numeral)).
% 58.13/9.60 tff(f79996,plain,(
% 58.13/9.60 spl5880_310),
% 58.13/9.60 inference(avatar_split_clause,[],[f49586,f79993])).
% 58.13/9.60 tff(f79993,plain,(
% 58.13/9.60 spl5880_310 <=> neg_numeral(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_310])])).
% 58.13/9.60 tff(f49586,plain,(
% 58.13/9.60 neg_numeral(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9626])).
% 58.13/9.60 tff(f9626,axiom,(
% 58.13/9.60 neg_numeral(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Oneg__numeral_417)).
% 58.13/9.60 tff(f79991,plain,(
% 58.13/9.60 spl5880_309),
% 58.13/9.60 inference(avatar_split_clause,[],[f49585,f79988])).
% 58.13/9.60 tff(f79988,plain,(
% 58.13/9.60 spl5880_309 <=> neg_numeral(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_309])])).
% 58.13/9.60 tff(f49585,plain,(
% 58.13/9.60 neg_numeral(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9803])).
% 58.13/9.60 tff(f9803,axiom,(
% 58.13/9.60 neg_numeral(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Oneg__numeral_593)).
% 58.13/9.60 tff(f79986,plain,(
% 58.13/9.60 spl5880_308),
% 58.13/9.60 inference(avatar_split_clause,[],[f49584,f79983])).
% 58.13/9.60 tff(f79983,plain,(
% 58.13/9.60 spl5880_308 <=> neg_numeral(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_308])])).
% 58.13/9.60 tff(f49584,plain,(
% 58.13/9.60 neg_numeral(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9364])).
% 58.13/9.60 tff(f9364,axiom,(
% 58.13/9.60 neg_numeral(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Oneg__numeral_179)).
% 58.13/9.60 tff(f79981,plain,(
% 58.13/9.60 spl5880_307),
% 58.13/9.60 inference(avatar_split_clause,[],[f49583,f79978])).
% 58.13/9.60 tff(f79978,plain,(
% 58.13/9.60 spl5880_307 <=> ab_group_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_307])])).
% 58.13/9.60 tff(f49583,plain,(
% 58.13/9.60 ab_group_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9511])).
% 58.13/9.60 tff(f9511,axiom,(
% 58.13/9.60 ab_group_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__group__add_303)).
% 58.13/9.60 tff(f79976,plain,(
% 58.13/9.60 spl5880_306),
% 58.13/9.60 inference(avatar_split_clause,[],[f49582,f79973])).
% 58.13/9.60 tff(f79973,plain,(
% 58.13/9.60 spl5880_306 <=> ab_group_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_306])])).
% 58.13/9.60 tff(f49582,plain,(
% 58.13/9.60 ab_group_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9146])).
% 58.13/9.60 tff(f9146,axiom,(
% 58.13/9.60 ab_group_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__group__add)).
% 58.13/9.60 tff(f79971,plain,(
% 58.13/9.60 spl5880_305),
% 58.13/9.60 inference(avatar_split_clause,[],[f49581,f79968])).
% 58.13/9.60 tff(f79968,plain,(
% 58.13/9.60 spl5880_305 <=> ab_group_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_305])])).
% 58.13/9.60 tff(f49581,plain,(
% 58.13/9.60 ab_group_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9613])).
% 58.13/9.60 tff(f9613,axiom,(
% 58.13/9.60 ab_group_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__group__add_404)).
% 58.13/9.60 tff(f79966,plain,(
% 58.13/9.60 spl5880_304),
% 58.13/9.60 inference(avatar_split_clause,[],[f49580,f79963])).
% 58.13/9.60 tff(f79963,plain,(
% 58.13/9.60 spl5880_304 <=> ab_group_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_304])])).
% 58.13/9.60 tff(f49580,plain,(
% 58.13/9.60 ab_group_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9785])).
% 58.13/9.60 tff(f9785,axiom,(
% 58.13/9.60 ab_group_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__group__add_575)).
% 58.13/9.60 tff(f79961,plain,(
% 58.13/9.60 spl5880_303),
% 58.13/9.60 inference(avatar_split_clause,[],[f49579,f79958])).
% 58.13/9.60 tff(f79958,plain,(
% 58.13/9.60 spl5880_303 <=> ab_group_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_303])])).
% 58.13/9.60 tff(f49579,plain,(
% 58.13/9.60 ab_group_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9344])).
% 58.13/9.60 tff(f9344,axiom,(
% 58.13/9.60 ab_group_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__group__add_160)).
% 58.13/9.60 tff(f79956,plain,(
% 58.13/9.60 spl5880_302),
% 58.13/9.60 inference(avatar_split_clause,[],[f49578,f79953])).
% 58.13/9.60 tff(f79953,plain,(
% 58.13/9.60 spl5880_302 <=> group_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_302])])).
% 58.13/9.60 tff(f49578,plain,(
% 58.13/9.60 group_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9528])).
% 58.13/9.60 tff(f9528,axiom,(
% 58.13/9.60 group_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ogroup__add_319)).
% 58.13/9.60 tff(f79951,plain,(
% 58.13/9.60 spl5880_301),
% 58.13/9.60 inference(avatar_split_clause,[],[f49577,f79948])).
% 58.13/9.60 tff(f79948,plain,(
% 58.13/9.60 spl5880_301 <=> group_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_301])])).
% 58.13/9.60 tff(f49577,plain,(
% 58.13/9.60 group_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9163])).
% 58.13/9.60 tff(f9163,axiom,(
% 58.13/9.60 group_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ogroup__add)).
% 58.13/9.60 tff(f79946,plain,(
% 58.13/9.60 spl5880_300),
% 58.13/9.60 inference(avatar_split_clause,[],[f49576,f79943])).
% 58.13/9.60 tff(f79943,plain,(
% 58.13/9.60 spl5880_300 <=> group_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_300])])).
% 58.13/9.60 tff(f49576,plain,(
% 58.13/9.60 group_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9623])).
% 58.13/9.60 tff(f9623,axiom,(
% 58.13/9.60 group_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ogroup__add_414)).
% 58.13/9.60 tff(f79941,plain,(
% 58.13/9.60 spl5880_299),
% 58.13/9.60 inference(avatar_split_clause,[],[f49575,f79938])).
% 58.13/9.60 tff(f79938,plain,(
% 58.13/9.60 spl5880_299 <=> group_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_299])])).
% 58.13/9.60 tff(f49575,plain,(
% 58.13/9.60 group_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9799])).
% 58.13/9.60 tff(f9799,axiom,(
% 58.13/9.60 group_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ogroup__add_589)).
% 58.13/9.60 tff(f79936,plain,(
% 58.13/9.60 spl5880_298),
% 58.13/9.60 inference(avatar_split_clause,[],[f49574,f79933])).
% 58.13/9.60 tff(f79933,plain,(
% 58.13/9.60 spl5880_298 <=> group_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_298])])).
% 58.13/9.60 tff(f49574,plain,(
% 58.13/9.60 group_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9360])).
% 58.13/9.60 tff(f9360,axiom,(
% 58.13/9.60 group_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ogroup__add_175)).
% 58.13/9.60 tff(f79931,plain,(
% 58.13/9.60 spl5880_297),
% 58.13/9.60 inference(avatar_split_clause,[],[f49573,f79928])).
% 58.13/9.60 tff(f79928,plain,(
% 58.13/9.60 spl5880_297 <=> idom(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_297])])).
% 58.13/9.60 tff(f49573,plain,(
% 58.13/9.60 idom(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9547])).
% 58.13/9.60 tff(f9547,axiom,(
% 58.13/9.60 idom(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom_338)).
% 58.13/9.60 tff(f79926,plain,(
% 58.13/9.60 spl5880_296),
% 58.13/9.60 inference(avatar_split_clause,[],[f49572,f79923])).
% 58.13/9.60 tff(f79923,plain,(
% 58.13/9.60 spl5880_296 <=> idom(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_296])])).
% 58.13/9.60 tff(f49572,plain,(
% 58.13/9.60 idom(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9183])).
% 58.13/9.60 tff(f9183,axiom,(
% 58.13/9.60 idom(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom)).
% 58.13/9.60 tff(f79921,plain,(
% 58.13/9.60 spl5880_295),
% 58.13/9.60 inference(avatar_split_clause,[],[f49571,f79918])).
% 58.13/9.60 tff(f79918,plain,(
% 58.13/9.60 spl5880_295 <=> idom(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_295])])).
% 58.13/9.60 tff(f49571,plain,(
% 58.13/9.60 idom(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9639])).
% 58.13/9.60 tff(f9639,axiom,(
% 58.13/9.60 idom(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom_430)).
% 58.13/9.60 tff(f79916,plain,(
% 58.13/9.60 spl5880_294),
% 58.13/9.60 inference(avatar_split_clause,[],[f49570,f79913])).
% 58.13/9.60 tff(f79913,plain,(
% 58.13/9.60 spl5880_294 <=> idom(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_294])])).
% 58.13/9.60 tff(f49570,plain,(
% 58.13/9.60 idom(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9379])).
% 58.13/9.60 tff(f9379,axiom,(
% 58.13/9.60 idom(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom_192)).
% 58.13/9.60 tff(f79911,plain,(
% 58.13/9.60 spl5880_293),
% 58.13/9.60 inference(avatar_split_clause,[],[f49569,f79908])).
% 58.13/9.60 tff(f79908,plain,(
% 58.13/9.60 spl5880_293 <=> idom(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_293])])).
% 58.13/9.60 tff(f49569,plain,(
% 58.13/9.60 idom(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9816])).
% 58.13/9.60 tff(f9816,axiom,(
% 58.13/9.60 idom(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom_606)).
% 58.13/9.60 tff(f79906,plain,(
% 58.13/9.60 spl5880_292),
% 58.13/9.60 inference(avatar_split_clause,[],[f49568,f79903])).
% 58.13/9.60 tff(f79903,plain,(
% 58.13/9.60 spl5880_292 <=> comm_ring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_292])])).
% 58.13/9.60 tff(f49568,plain,(
% 58.13/9.60 comm_ring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9530])).
% 58.13/9.60 tff(f9530,axiom,(
% 58.13/9.60 comm_ring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring_321)).
% 58.13/9.60 tff(f79901,plain,(
% 58.13/9.60 spl5880_291),
% 58.13/9.60 inference(avatar_split_clause,[],[f49567,f79898])).
% 58.13/9.60 tff(f79898,plain,(
% 58.13/9.60 spl5880_291 <=> comm_ring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_291])])).
% 58.13/9.60 tff(f49567,plain,(
% 58.13/9.60 comm_ring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9167])).
% 58.13/9.60 tff(f9167,axiom,(
% 58.13/9.60 comm_ring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring)).
% 58.13/9.60 tff(f79896,plain,(
% 58.13/9.60 spl5880_290),
% 58.13/9.60 inference(avatar_split_clause,[],[f49566,f79893])).
% 58.13/9.60 tff(f79893,plain,(
% 58.13/9.60 spl5880_290 <=> comm_ring(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_290])])).
% 58.13/9.60 tff(f49566,plain,(
% 58.13/9.60 comm_ring(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9625])).
% 58.13/9.60 tff(f9625,axiom,(
% 58.13/9.60 comm_ring(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring_416)).
% 58.13/9.60 tff(f79891,plain,(
% 58.13/9.60 spl5880_289),
% 58.13/9.60 inference(avatar_split_clause,[],[f49565,f79888])).
% 58.13/9.60 tff(f79888,plain,(
% 58.13/9.60 spl5880_289 <=> comm_ring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_289])])).
% 58.13/9.60 tff(f49565,plain,(
% 58.13/9.60 comm_ring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9362])).
% 58.13/9.60 tff(f9362,axiom,(
% 58.13/9.60 comm_ring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring_177)).
% 58.13/9.60 tff(f79886,plain,(
% 58.13/9.60 spl5880_288),
% 58.13/9.60 inference(avatar_split_clause,[],[f49564,f79883])).
% 58.13/9.60 tff(f79883,plain,(
% 58.13/9.60 spl5880_288 <=> comm_ring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_288])])).
% 58.13/9.60 tff(f49564,plain,(
% 58.13/9.60 comm_ring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9801])).
% 58.13/9.60 tff(f9801,axiom,(
% 58.13/9.60 comm_ring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring_591)).
% 58.13/9.60 tff(f79881,plain,(
% 58.13/9.60 spl5880_287),
% 58.13/9.60 inference(avatar_split_clause,[],[f49563,f79878])).
% 58.13/9.60 tff(f79878,plain,(
% 58.13/9.60 spl5880_287 <=> comm_ring_1(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_287])])).
% 58.13/9.60 tff(f49563,plain,(
% 58.13/9.60 comm_ring_1(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9521])).
% 58.13/9.60 tff(f9521,axiom,(
% 58.13/9.60 comm_ring_1(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1_312)).
% 58.13/9.60 tff(f79876,plain,(
% 58.13/9.60 spl5880_286),
% 58.13/9.60 inference(avatar_split_clause,[],[f49562,f79873])).
% 58.13/9.60 tff(f79873,plain,(
% 58.13/9.60 spl5880_286 <=> comm_ring_1(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_286])])).
% 58.13/9.60 tff(f49562,plain,(
% 58.13/9.60 comm_ring_1(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9156])).
% 58.13/9.60 tff(f9156,axiom,(
% 58.13/9.60 comm_ring_1(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring__1)).
% 58.13/9.60 tff(f79871,plain,(
% 58.13/9.60 spl5880_285),
% 58.13/9.60 inference(avatar_split_clause,[],[f49561,f79868])).
% 58.13/9.60 tff(f79868,plain,(
% 58.13/9.60 spl5880_285 <=> comm_ring_1(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_285])])).
% 58.13/9.60 tff(f49561,plain,(
% 58.13/9.60 comm_ring_1(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9619])).
% 58.13/9.60 tff(f9619,axiom,(
% 58.13/9.60 comm_ring_1(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring__1_410)).
% 58.13/9.60 tff(f79866,plain,(
% 58.13/9.60 spl5880_284),
% 58.13/9.60 inference(avatar_split_clause,[],[f49560,f79863])).
% 58.13/9.60 tff(f79863,plain,(
% 58.13/9.60 spl5880_284 <=> comm_ring_1(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_284])])).
% 58.13/9.60 tff(f49560,plain,(
% 58.13/9.60 comm_ring_1(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9795])).
% 58.13/9.60 tff(f9795,axiom,(
% 58.13/9.60 comm_ring_1(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring__1_585)).
% 58.13/9.60 tff(f79861,plain,(
% 58.13/9.60 spl5880_283),
% 58.13/9.60 inference(avatar_split_clause,[],[f49559,f79858])).
% 58.13/9.60 tff(f79858,plain,(
% 58.13/9.60 spl5880_283 <=> comm_ring_1(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_283])])).
% 58.13/9.60 tff(f49559,plain,(
% 58.13/9.60 comm_ring_1(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9353])).
% 58.13/9.60 tff(f9353,axiom,(
% 58.13/9.60 comm_ring_1(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring__1_168)).
% 58.13/9.60 tff(f79856,plain,(
% 58.13/9.60 spl5880_282),
% 58.13/9.60 inference(avatar_split_clause,[],[f49558,f79853])).
% 58.13/9.60 tff(f79853,plain,(
% 58.13/9.60 spl5880_282 <=> ring_char_0(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_282])])).
% 58.13/9.60 tff(f49558,plain,(
% 58.13/9.60 ring_char_0(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9533])).
% 58.13/9.60 tff(f9533,axiom,(
% 58.13/9.60 ring_char_0(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Oring__char__0_324)).
% 58.13/9.60 tff(f79851,plain,(
% 58.13/9.60 spl5880_281),
% 58.13/9.60 inference(avatar_split_clause,[],[f49557,f79848])).
% 58.13/9.60 tff(f79848,plain,(
% 58.13/9.60 spl5880_281 <=> ring_char_0(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_281])])).
% 58.13/9.60 tff(f49557,plain,(
% 58.13/9.60 ring_char_0(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9170])).
% 58.13/9.60 tff(f9170,axiom,(
% 58.13/9.60 ring_char_0(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Oring__char__0)).
% 58.13/9.60 tff(f79846,plain,(
% 58.13/9.60 spl5880_280),
% 58.13/9.60 inference(avatar_split_clause,[],[f49556,f79843])).
% 58.13/9.60 tff(f79843,plain,(
% 58.13/9.60 spl5880_280 <=> ring_char_0(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_280])])).
% 58.13/9.60 tff(f49556,plain,(
% 58.13/9.60 ring_char_0(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9627])).
% 58.13/9.60 tff(f9627,axiom,(
% 58.13/9.60 ring_char_0(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Oring__char__0_418)).
% 58.13/9.60 tff(f79841,plain,(
% 58.13/9.60 spl5880_279),
% 58.13/9.60 inference(avatar_split_clause,[],[f49555,f79838])).
% 58.13/9.60 tff(f79838,plain,(
% 58.13/9.60 spl5880_279 <=> ring_char_0(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_279])])).
% 58.13/9.60 tff(f49555,plain,(
% 58.13/9.60 ring_char_0(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9804])).
% 58.13/9.60 tff(f9804,axiom,(
% 58.13/9.60 ring_char_0(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Oring__char__0_594)).
% 58.13/9.60 tff(f79836,plain,(
% 58.13/9.60 spl5880_278),
% 58.13/9.60 inference(avatar_split_clause,[],[f49554,f79833])).
% 58.13/9.60 tff(f79833,plain,(
% 58.13/9.60 spl5880_278 <=> ring_char_0(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_278])])).
% 58.13/9.60 tff(f49554,plain,(
% 58.13/9.60 ring_char_0(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9365])).
% 58.13/9.60 tff(f9365,axiom,(
% 58.13/9.60 ring_char_0(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Oring__char__0_180)).
% 58.13/9.60 tff(f79831,plain,(
% 58.13/9.60 spl5880_277),
% 58.13/9.60 inference(avatar_split_clause,[],[f49553,f79828])).
% 58.13/9.60 tff(f79828,plain,(
% 58.13/9.60 spl5880_277 <=> condit6923001295902523014norder(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_277])])).
% 58.13/9.60 tff(f49553,plain,(
% 58.13/9.60 condit6923001295902523014norder(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9186])).
% 58.13/9.60 tff(f9186,axiom,(
% 58.13/9.60 condit6923001295902523014norder(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_15)).
% 58.13/9.60 tff(f79826,plain,(
% 58.13/9.60 spl5880_276),
% 58.13/9.60 inference(avatar_split_clause,[],[f49552,f79823])).
% 58.13/9.60 tff(f79823,plain,(
% 58.13/9.60 spl5880_276 <=> condit6923001295902523014norder(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_276])])).
% 58.13/9.60 tff(f49552,plain,(
% 58.13/9.60 condit6923001295902523014norder(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9422])).
% 58.13/9.60 tff(f9422,axiom,(
% 58.13/9.60 condit6923001295902523014norder(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_235)).
% 58.13/9.60 tff(f79821,plain,(
% 58.13/9.60 spl5880_275),
% 58.13/9.60 inference(avatar_split_clause,[],[f49551,f79818])).
% 58.13/9.60 tff(f79818,plain,(
% 58.13/9.60 spl5880_275 <=> condit6923001295902523014norder(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_275])])).
% 58.13/9.60 tff(f49551,plain,(
% 58.13/9.60 condit6923001295902523014norder(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9067])).
% 58.13/9.60 tff(f9067,axiom,(
% 58.13/9.60 condit6923001295902523014norder(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__linorder)).
% 58.13/9.60 tff(f79816,plain,(
% 58.13/9.60 spl5880_274),
% 58.13/9.60 inference(avatar_split_clause,[],[f49550,f79813])).
% 58.13/9.60 tff(f79813,plain,(
% 58.13/9.60 spl5880_274 <=> condit6923001295902523014norder(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_274])])).
% 58.13/9.60 tff(f49550,plain,(
% 58.13/9.60 condit6923001295902523014norder(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9642])).
% 58.13/9.60 tff(f9642,axiom,(
% 58.13/9.60 condit6923001295902523014norder(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_433)).
% 58.13/9.60 tff(f79811,plain,(
% 58.13/9.60 spl5880_273),
% 58.13/9.60 inference(avatar_split_clause,[],[f49549,f79808])).
% 58.13/9.60 tff(f79808,plain,(
% 58.13/9.60 spl5880_273 <=> condit6923001295902523014norder(product_unit)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_273])])).
% 58.13/9.60 tff(f49549,plain,(
% 58.13/9.60 condit6923001295902523014norder(product_unit)),
% 58.13/9.60 inference(cnf_transformation,[],[f9699])).
% 58.13/9.60 tff(f9699,axiom,(
% 58.13/9.60 condit6923001295902523014norder(product_unit)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_489)).
% 58.13/9.60 tff(f79806,plain,(
% 58.13/9.60 spl5880_272),
% 58.13/9.60 inference(avatar_split_clause,[],[f49548,f79803])).
% 58.13/9.60 tff(f79803,plain,(
% 58.13/9.60 spl5880_272 <=> idom_abs_sgn(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_272])])).
% 58.13/9.60 tff(f49548,plain,(
% 58.13/9.60 idom_abs_sgn(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9515])).
% 58.13/9.60 tff(f9515,axiom,(
% 58.13/9.60 idom_abs_sgn(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__abs__sgn_307)).
% 58.13/9.60 tff(f79801,plain,(
% 58.13/9.60 spl5880_271),
% 58.13/9.60 inference(avatar_split_clause,[],[f49547,f79798])).
% 58.13/9.60 tff(f79798,plain,(
% 58.13/9.60 spl5880_271 <=> idom_abs_sgn(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_271])])).
% 58.13/9.60 tff(f49547,plain,(
% 58.13/9.60 idom_abs_sgn(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9149])).
% 58.13/9.60 tff(f9149,axiom,(
% 58.13/9.60 idom_abs_sgn(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__abs__sgn)).
% 58.13/9.60 tff(f79796,plain,(
% 58.13/9.60 spl5880_270),
% 58.13/9.60 inference(avatar_split_clause,[],[f49546,f79793])).
% 58.13/9.60 tff(f79793,plain,(
% 58.13/9.60 spl5880_270 <=> idom_abs_sgn(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_270])])).
% 58.13/9.60 tff(f49546,plain,(
% 58.13/9.60 idom_abs_sgn(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9616])).
% 58.13/9.60 tff(f9616,axiom,(
% 58.13/9.60 idom_abs_sgn(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__abs__sgn_407)).
% 58.13/9.60 tff(f79791,plain,(
% 58.13/9.60 spl5880_269),
% 58.13/9.60 inference(avatar_split_clause,[],[f49545,f79788])).
% 58.13/9.60 tff(f79788,plain,(
% 58.13/9.60 spl5880_269 <=> idom_abs_sgn(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_269])])).
% 58.13/9.60 tff(f49545,plain,(
% 58.13/9.60 idom_abs_sgn(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9348])).
% 58.13/9.60 tff(f9348,axiom,(
% 58.13/9.60 idom_abs_sgn(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__abs__sgn_163)).
% 58.13/9.60 tff(f79786,plain,(
% 58.13/9.60 spl5880_268),
% 58.13/9.60 inference(avatar_split_clause,[],[f49544,f79783])).
% 58.13/9.60 tff(f79783,plain,(
% 58.13/9.60 spl5880_268 <=> idom_abs_sgn(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_268])])).
% 58.13/9.60 tff(f49544,plain,(
% 58.13/9.60 idom_abs_sgn(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9788])).
% 58.13/9.60 tff(f9788,axiom,(
% 58.13/9.60 idom_abs_sgn(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__abs__sgn_578)).
% 58.13/9.60 tff(f79781,plain,(
% 58.13/9.60 spl5880_267),
% 58.13/9.60 inference(avatar_split_clause,[],[f49543,f79778])).
% 58.13/9.60 tff(f79778,plain,(
% 58.13/9.60 spl5880_267 <=> ring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_267])])).
% 58.13/9.60 tff(f49543,plain,(
% 58.13/9.60 ring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9546])).
% 58.13/9.60 tff(f9546,axiom,(
% 58.13/9.60 ring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring_337)).
% 58.13/9.60 tff(f79776,plain,(
% 58.13/9.60 spl5880_266),
% 58.13/9.60 inference(avatar_split_clause,[],[f49542,f79773])).
% 58.13/9.60 tff(f79773,plain,(
% 58.13/9.60 spl5880_266 <=> ring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_266])])).
% 58.13/9.60 tff(f49542,plain,(
% 58.13/9.60 ring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9182])).
% 58.13/9.60 tff(f9182,axiom,(
% 58.13/9.60 ring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring)).
% 58.13/9.60 tff(f79771,plain,(
% 58.13/9.60 spl5880_265),
% 58.13/9.60 inference(avatar_split_clause,[],[f49541,f79768])).
% 58.13/9.60 tff(f79768,plain,(
% 58.13/9.60 spl5880_265 <=> ring(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_265])])).
% 58.13/9.60 tff(f49541,plain,(
% 58.13/9.60 ring(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9638])).
% 58.13/9.60 tff(f9638,axiom,(
% 58.13/9.60 ring(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring_429)).
% 58.13/9.60 tff(f79766,plain,(
% 58.13/9.60 spl5880_264),
% 58.13/9.60 inference(avatar_split_clause,[],[f49540,f79763])).
% 58.13/9.60 tff(f79763,plain,(
% 58.13/9.60 spl5880_264 <=> ring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_264])])).
% 58.13/9.60 tff(f49540,plain,(
% 58.13/9.60 ring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9378])).
% 58.13/9.60 tff(f9378,axiom,(
% 58.13/9.60 ring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring_191)).
% 58.13/9.60 tff(f79761,plain,(
% 58.13/9.60 spl5880_263),
% 58.13/9.60 inference(avatar_split_clause,[],[f49539,f79758])).
% 58.13/9.60 tff(f79758,plain,(
% 58.13/9.60 spl5880_263 <=> ring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_263])])).
% 58.13/9.60 tff(f49539,plain,(
% 58.13/9.60 ring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9815])).
% 58.13/9.60 tff(f9815,axiom,(
% 58.13/9.60 ring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring_605)).
% 58.13/9.60 tff(f79756,plain,(
% 58.13/9.60 spl5880_262),
% 58.13/9.60 inference(avatar_split_clause,[],[f49538,f79753])).
% 58.13/9.60 tff(f79753,plain,(
% 58.13/9.60 spl5880_262 <=> linord8928482502909563296strict(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_262])])).
% 58.13/9.60 tff(f49538,plain,(
% 58.13/9.60 linord8928482502909563296strict(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9215])).
% 58.13/9.60 tff(f9215,axiom,(
% 58.13/9.60 linord8928482502909563296strict(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring__strict_42)).
% 58.13/9.60 tff(f79751,plain,(
% 58.13/9.60 spl5880_261),
% 58.13/9.60 inference(avatar_split_clause,[],[f49537,f79748])).
% 58.13/9.60 tff(f79748,plain,(
% 58.13/9.60 spl5880_261 <=> linord8928482502909563296strict(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_261])])).
% 58.13/9.60 tff(f49537,plain,(
% 58.13/9.60 linord8928482502909563296strict(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9457])).
% 58.13/9.60 tff(f9457,axiom,(
% 58.13/9.60 linord8928482502909563296strict(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__strict_257)).
% 58.13/9.60 tff(f79746,plain,(
% 58.13/9.60 spl5880_260),
% 58.13/9.60 inference(avatar_split_clause,[],[f49536,f79743])).
% 58.13/9.60 tff(f79743,plain,(
% 58.13/9.60 spl5880_260 <=> linord8928482502909563296strict(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_260])])).
% 58.13/9.60 tff(f49536,plain,(
% 58.13/9.60 linord8928482502909563296strict(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9099])).
% 58.13/9.60 tff(f9099,axiom,(
% 58.13/9.60 linord8928482502909563296strict(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__strict)).
% 58.13/9.60 tff(f79741,plain,(
% 58.13/9.60 spl5880_259),
% 58.13/9.60 inference(avatar_split_clause,[],[f49535,f79738])).
% 58.13/9.60 tff(f79738,plain,(
% 58.13/9.60 spl5880_259 <=> linord8928482502909563296strict(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_259])])).
% 58.13/9.60 tff(f49535,plain,(
% 58.13/9.60 linord8928482502909563296strict(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9744])).
% 58.13/9.60 tff(f9744,axiom,(
% 58.13/9.60 linord8928482502909563296strict(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__strict_534)).
% 58.13/9.60 tff(f79736,plain,(
% 58.13/9.60 spl5880_258),
% 58.13/9.60 inference(avatar_split_clause,[],[f49534,f79733])).
% 58.13/9.60 tff(f79733,plain,(
% 58.13/9.60 spl5880_258 <=> linord8928482502909563296strict(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_258])])).
% 58.13/9.60 tff(f49534,plain,(
% 58.13/9.60 linord8928482502909563296strict(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9300])).
% 58.13/9.60 tff(f9300,axiom,(
% 58.13/9.60 linord8928482502909563296strict(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__strict_122)).
% 58.13/9.60 tff(f79731,plain,(
% 58.13/9.60 spl5880_257),
% 58.13/9.60 inference(avatar_split_clause,[],[f49533,f79728])).
% 58.13/9.60 tff(f79728,plain,(
% 58.13/9.60 spl5880_257 <=> ordere2412721322843649153imp_le(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_257])])).
% 58.13/9.60 tff(f49533,plain,(
% 58.13/9.60 ordere2412721322843649153imp_le(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9199])).
% 58.13/9.60 tff(f9199,axiom,(
% 58.13/9.60 ordere2412721322843649153imp_le(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le_27)).
% 58.13/9.60 tff(f79726,plain,(
% 58.13/9.60 spl5880_256),
% 58.13/9.60 inference(avatar_split_clause,[],[f49532,f79723])).
% 58.13/9.60 tff(f79723,plain,(
% 58.13/9.60 spl5880_256 <=> ordere2412721322843649153imp_le(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_256])])).
% 58.13/9.60 tff(f49532,plain,(
% 58.13/9.60 ordere2412721322843649153imp_le(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9436])).
% 58.13/9.60 tff(f9436,axiom,(
% 58.13/9.60 ordere2412721322843649153imp_le(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le_242)).
% 58.13/9.60 tff(f79721,plain,(
% 58.13/9.60 spl5880_255),
% 58.13/9.60 inference(avatar_split_clause,[],[f49531,f79718])).
% 58.13/9.60 tff(f79718,plain,(
% 58.13/9.60 spl5880_255 <=> ordere2412721322843649153imp_le(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_255])])).
% 58.13/9.60 tff(f49531,plain,(
% 58.13/9.60 ordere2412721322843649153imp_le(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9081])).
% 58.13/9.60 tff(f9081,axiom,(
% 58.13/9.60 ordere2412721322843649153imp_le(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le)).
% 58.13/9.60 tff(f79716,plain,(
% 58.13/9.60 spl5880_254),
% 58.13/9.60 inference(avatar_split_clause,[],[f49530,f79713])).
% 58.13/9.60 tff(f79713,plain,(
% 58.13/9.60 spl5880_254 <=> ordere2412721322843649153imp_le(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_254])])).
% 58.13/9.60 tff(f49530,plain,(
% 58.13/9.60 ordere2412721322843649153imp_le(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9732])).
% 58.13/9.60 tff(f9732,axiom,(
% 58.13/9.60 ordere2412721322843649153imp_le(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add__imp__le_522)).
% 58.13/9.60 tff(f79711,plain,(
% 58.13/9.60 spl5880_253),
% 58.13/9.60 inference(avatar_split_clause,[],[f49529,f79708])).
% 58.13/9.60 tff(f79708,plain,(
% 58.13/9.60 spl5880_253 <=> ordere2412721322843649153imp_le(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_253])])).
% 58.13/9.60 tff(f49529,plain,(
% 58.13/9.60 ordere2412721322843649153imp_le(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9290])).
% 58.13/9.60 tff(f9290,axiom,(
% 58.13/9.60 ordere2412721322843649153imp_le(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add__imp__le_114)).
% 58.13/9.60 tff(f79706,plain,(
% 58.13/9.60 spl5880_252),
% 58.13/9.60 inference(avatar_split_clause,[],[f49528,f79703])).
% 58.13/9.60 tff(f79703,plain,(
% 58.13/9.60 spl5880_252 <=> ordere580206878836729694up_add(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_252])])).
% 58.13/9.60 tff(f49528,plain,(
% 58.13/9.60 ordere580206878836729694up_add(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9198])).
% 58.13/9.60 tff(f9198,axiom,(
% 58.13/9.60 ordere580206878836729694up_add(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add_26)).
% 58.13/9.60 tff(f79701,plain,(
% 58.13/9.60 spl5880_251),
% 58.13/9.60 inference(avatar_split_clause,[],[f49527,f79698])).
% 58.13/9.60 tff(f79698,plain,(
% 58.13/9.60 spl5880_251 <=> ordere580206878836729694up_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_251])])).
% 58.13/9.60 tff(f49527,plain,(
% 58.13/9.60 ordere580206878836729694up_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9435])).
% 58.13/9.60 tff(f9435,axiom,(
% 58.13/9.60 ordere580206878836729694up_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add_241)).
% 58.13/9.60 tff(f79696,plain,(
% 58.13/9.60 spl5880_250),
% 58.13/9.60 inference(avatar_split_clause,[],[f49526,f79693])).
% 58.13/9.60 tff(f79693,plain,(
% 58.13/9.60 spl5880_250 <=> ordere580206878836729694up_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_250])])).
% 58.13/9.60 tff(f49526,plain,(
% 58.13/9.60 ordere580206878836729694up_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9080])).
% 58.13/9.60 tff(f9080,axiom,(
% 58.13/9.60 ordere580206878836729694up_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add)).
% 58.13/9.60 tff(f79691,plain,(
% 58.13/9.60 spl5880_249),
% 58.13/9.60 inference(avatar_split_clause,[],[f49525,f79688])).
% 58.13/9.60 tff(f79688,plain,(
% 58.13/9.60 spl5880_249 <=> ordere580206878836729694up_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_249])])).
% 58.13/9.60 tff(f49525,plain,(
% 58.13/9.60 ordere580206878836729694up_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9289])).
% 58.13/9.60 tff(f9289,axiom,(
% 58.13/9.60 ordere580206878836729694up_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__ab__semigroup__add_113)).
% 58.13/9.60 tff(f79686,plain,(
% 58.13/9.60 spl5880_248),
% 58.13/9.60 inference(avatar_split_clause,[],[f49524,f79683])).
% 58.13/9.60 tff(f79683,plain,(
% 58.13/9.60 spl5880_248 <=> ordere580206878836729694up_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_248])])).
% 58.13/9.60 tff(f49524,plain,(
% 58.13/9.60 ordere580206878836729694up_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9731])).
% 58.13/9.60 tff(f9731,axiom,(
% 58.13/9.60 ordere580206878836729694up_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__ab__semigroup__add_521)).
% 58.13/9.60 tff(f79681,plain,(
% 58.13/9.60 spl5880_247),
% 58.13/9.60 inference(avatar_split_clause,[],[f49523,f79678])).
% 58.13/9.60 tff(f79678,plain,(
% 58.13/9.60 spl5880_247 <=> ordere8940638589300402666id_add(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_247])])).
% 58.13/9.60 tff(f49523,plain,(
% 58.13/9.60 ordere8940638589300402666id_add(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9203])).
% 58.13/9.60 tff(f9203,axiom,(
% 58.13/9.60 ordere8940638589300402666id_add(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__add_31)).
% 58.13/9.60 tff(f79676,plain,(
% 58.13/9.60 spl5880_246),
% 58.13/9.60 inference(avatar_split_clause,[],[f49522,f79673])).
% 58.13/9.60 tff(f79673,plain,(
% 58.13/9.60 spl5880_246 <=> ordere1937475149494474687imp_le(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_246])])).
% 58.13/9.60 tff(f49522,plain,(
% 58.13/9.60 ordere1937475149494474687imp_le(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9191])).
% 58.13/9.60 tff(f9191,axiom,(
% 58.13/9.60 ordere1937475149494474687imp_le(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_20)).
% 58.13/9.60 tff(f79671,plain,(
% 58.13/9.60 spl5880_245),
% 58.13/9.60 inference(avatar_split_clause,[],[f49521,f79668])).
% 58.13/9.60 tff(f79668,plain,(
% 58.13/9.60 spl5880_245 <=> ordere1937475149494474687imp_le(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_245])])).
% 58.13/9.60 tff(f49521,plain,(
% 58.13/9.60 ordere1937475149494474687imp_le(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9426])).
% 58.13/9.60 tff(f9426,axiom,(
% 58.13/9.60 ordere1937475149494474687imp_le(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le_238)).
% 58.13/9.60 tff(f79666,plain,(
% 58.13/9.60 spl5880_244),
% 58.13/9.60 inference(avatar_split_clause,[],[f49520,f79663])).
% 58.13/9.60 tff(f79663,plain,(
% 58.13/9.60 spl5880_244 <=> ordere8940638589300402666id_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_244])])).
% 58.13/9.60 tff(f49520,plain,(
% 58.13/9.60 ordere8940638589300402666id_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9440])).
% 58.13/9.60 tff(f9440,axiom,(
% 58.13/9.60 ordere8940638589300402666id_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__comm__monoid__add_245)).
% 58.13/9.60 tff(f79661,plain,(
% 58.13/9.60 spl5880_243),
% 58.13/9.60 inference(avatar_split_clause,[],[f49519,f79658])).
% 58.13/9.60 tff(f79658,plain,(
% 58.13/9.60 spl5880_243 <=> ordere8940638589300402666id_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_243])])).
% 58.13/9.60 tff(f49519,plain,(
% 58.13/9.60 ordere8940638589300402666id_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9085])).
% 58.13/9.60 tff(f9085,axiom,(
% 58.13/9.60 ordere8940638589300402666id_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__comm__monoid__add)).
% 58.13/9.60 tff(f79656,plain,(
% 58.13/9.60 spl5880_242),
% 58.13/9.60 inference(avatar_split_clause,[],[f49518,f79653])).
% 58.13/9.60 tff(f79653,plain,(
% 58.13/9.60 spl5880_242 <=> ordere1937475149494474687imp_le(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_242])])).
% 58.13/9.60 tff(f49518,plain,(
% 58.13/9.60 ordere1937475149494474687imp_le(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9073])).
% 58.13/9.60 tff(f9073,axiom,(
% 58.13/9.60 ordere1937475149494474687imp_le(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__monoid__add__imp__le)).
% 58.13/9.60 tff(f79651,plain,(
% 58.13/9.60 spl5880_241),
% 58.13/9.60 inference(avatar_split_clause,[],[f49517,f79648])).
% 58.13/9.60 tff(f79648,plain,(
% 58.13/9.60 spl5880_241 <=> ordere8940638589300402666id_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_241])])).
% 58.13/9.60 tff(f49517,plain,(
% 58.13/9.60 ordere8940638589300402666id_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9736])).
% 58.13/9.60 tff(f9736,axiom,(
% 58.13/9.60 ordere8940638589300402666id_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__comm__monoid__add_526)).
% 58.13/9.60 tff(f79646,plain,(
% 58.13/9.60 spl5880_240),
% 58.13/9.60 inference(avatar_split_clause,[],[f49516,f79643])).
% 58.13/9.60 tff(f79643,plain,(
% 58.13/9.60 spl5880_240 <=> ordere8940638589300402666id_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_240])])).
% 58.13/9.60 tff(f49516,plain,(
% 58.13/9.60 ordere8940638589300402666id_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9293])).
% 58.13/9.60 tff(f9293,axiom,(
% 58.13/9.60 ordere8940638589300402666id_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__comm__monoid__add_117)).
% 58.13/9.60 tff(f79641,plain,(
% 58.13/9.60 spl5880_239),
% 58.13/9.60 inference(avatar_split_clause,[],[f49515,f79638])).
% 58.13/9.60 tff(f79638,plain,(
% 58.13/9.60 spl5880_239 <=> ordere1937475149494474687imp_le(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_239])])).
% 58.13/9.60 tff(f49515,plain,(
% 58.13/9.60 ordere1937475149494474687imp_le(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9286])).
% 58.13/9.60 tff(f9286,axiom,(
% 58.13/9.60 ordere1937475149494474687imp_le(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_110)).
% 58.13/9.60 tff(f79636,plain,(
% 58.13/9.60 spl5880_238),
% 58.13/9.60 inference(avatar_split_clause,[],[f49514,f79633])).
% 58.13/9.60 tff(f79633,plain,(
% 58.13/9.60 spl5880_238 <=> ordere1937475149494474687imp_le(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_238])])).
% 58.13/9.60 tff(f49514,plain,(
% 58.13/9.60 ordere1937475149494474687imp_le(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9724])).
% 58.13/9.60 tff(f9724,axiom,(
% 58.13/9.60 ordere1937475149494474687imp_le(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__monoid__add__imp__le_514)).
% 58.13/9.60 tff(f79631,plain,(
% 58.13/9.60 spl5880_237),
% 58.13/9.60 inference(avatar_split_clause,[],[f49513,f79628])).
% 58.13/9.60 tff(f79628,plain,(
% 58.13/9.60 spl5880_237 <=> ring_15535105094025558882visors(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_237])])).
% 58.13/9.60 tff(f49513,plain,(
% 58.13/9.60 ring_15535105094025558882visors(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9469])).
% 58.13/9.60 tff(f9469,axiom,(
% 58.13/9.60 ring_15535105094025558882visors(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1__no__zero__divisors_265)).
% 58.13/9.60 tff(f79626,plain,(
% 58.13/9.60 spl5880_236),
% 58.13/9.60 inference(avatar_split_clause,[],[f49512,f79623])).
% 58.13/9.60 tff(f79623,plain,(
% 58.13/9.60 spl5880_236 <=> ring_15535105094025558882visors(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_236])])).
% 58.13/9.60 tff(f49512,plain,(
% 58.13/9.60 ring_15535105094025558882visors(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9108])).
% 58.13/9.60 tff(f9108,axiom,(
% 58.13/9.60 ring_15535105094025558882visors(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 58.13/9.60 tff(f79621,plain,(
% 58.13/9.60 spl5880_235),
% 58.13/9.60 inference(avatar_split_clause,[],[f49511,f79618])).
% 58.13/9.60 tff(f79618,plain,(
% 58.13/9.60 spl5880_235 <=> ring_15535105094025558882visors(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_235])])).
% 58.13/9.60 tff(f49511,plain,(
% 58.13/9.60 ring_15535105094025558882visors(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9588])).
% 58.13/9.60 tff(f9588,axiom,(
% 58.13/9.60 ring_15535105094025558882visors(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1__no__zero__divisors_379)).
% 58.13/9.60 tff(f79616,plain,(
% 58.13/9.60 spl5880_234),
% 58.13/9.60 inference(avatar_split_clause,[],[f49510,f79613])).
% 58.13/9.60 tff(f79613,plain,(
% 58.13/9.60 spl5880_234 <=> ring_15535105094025558882visors(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_234])])).
% 58.13/9.60 tff(f49510,plain,(
% 58.13/9.60 ring_15535105094025558882visors(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9308])).
% 58.13/9.60 tff(f9308,axiom,(
% 58.13/9.60 ring_15535105094025558882visors(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1__no__zero__divisors_129)).
% 58.13/9.60 tff(f79611,plain,(
% 58.13/9.60 spl5880_233),
% 58.13/9.60 inference(avatar_split_clause,[],[f49509,f79608])).
% 58.13/9.60 tff(f79608,plain,(
% 58.13/9.60 spl5880_233 <=> ring_15535105094025558882visors(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_233])])).
% 58.13/9.60 tff(f49509,plain,(
% 58.13/9.60 ring_15535105094025558882visors(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9751])).
% 58.13/9.60 tff(f9751,axiom,(
% 58.13/9.60 ring_15535105094025558882visors(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1__no__zero__divisors_541)).
% 58.13/9.60 tff(f79606,plain,(
% 58.13/9.60 spl5880_232),
% 58.13/9.60 inference(avatar_split_clause,[],[f49508,f79603])).
% 58.13/9.60 tff(f79603,plain,(
% 58.13/9.60 spl5880_232 <=> ordered_semiring_0(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_232])])).
% 58.13/9.60 tff(f49508,plain,(
% 58.13/9.60 ordered_semiring_0(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9230])).
% 58.13/9.60 tff(f9230,axiom,(
% 58.13/9.60 ordered_semiring_0(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring__0_57)).
% 58.13/9.60 tff(f79601,plain,(
% 58.13/9.60 spl5880_231),
% 58.13/9.60 inference(avatar_split_clause,[],[f49507,f79598])).
% 58.13/9.60 tff(f79598,plain,(
% 58.13/9.60 spl5880_231 <=> ordered_semiring_0(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_231])])).
% 58.13/9.60 tff(f49507,plain,(
% 58.13/9.60 ordered_semiring_0(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9484])).
% 58.13/9.60 tff(f9484,axiom,(
% 58.13/9.60 ordered_semiring_0(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring__0_276)).
% 58.13/9.60 tff(f79596,plain,(
% 58.13/9.60 spl5880_230),
% 58.13/9.60 inference(avatar_split_clause,[],[f49506,f79593])).
% 58.13/9.60 tff(f79593,plain,(
% 58.13/9.60 spl5880_230 <=> ordered_semiring_0(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_230])])).
% 58.13/9.60 tff(f49506,plain,(
% 58.13/9.60 ordered_semiring_0(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9120])).
% 58.13/9.60 tff(f9120,axiom,(
% 58.13/9.60 ordered_semiring_0(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring__0)).
% 58.13/9.60 tff(f79591,plain,(
% 58.13/9.60 spl5880_229),
% 58.13/9.60 inference(avatar_split_clause,[],[f49505,f79588])).
% 58.13/9.60 tff(f79588,plain,(
% 58.13/9.60 spl5880_229 <=> ordered_semiring_0(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_229])])).
% 58.13/9.60 tff(f49505,plain,(
% 58.13/9.60 ordered_semiring_0(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9317])).
% 58.13/9.60 tff(f9317,axiom,(
% 58.13/9.60 ordered_semiring_0(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring__0_138)).
% 58.13/9.60 tff(f79586,plain,(
% 58.13/9.60 spl5880_228),
% 58.13/9.60 inference(avatar_split_clause,[],[f49504,f79583])).
% 58.13/9.60 tff(f79583,plain,(
% 58.13/9.60 spl5880_228 <=> ordered_semiring_0(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_228])])).
% 58.13/9.60 tff(f49504,plain,(
% 58.13/9.60 ordered_semiring_0(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9761])).
% 58.13/9.60 tff(f9761,axiom,(
% 58.13/9.60 ordered_semiring_0(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring__0_551)).
% 58.13/9.60 tff(f79581,plain,(
% 58.13/9.60 spl5880_227),
% 58.13/9.60 inference(avatar_split_clause,[],[f49503,f79578])).
% 58.13/9.60 tff(f79578,plain,(
% 58.13/9.60 spl5880_227 <=> idom_divide(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_227])])).
% 58.13/9.60 tff(f49503,plain,(
% 58.13/9.60 idom_divide(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9520])).
% 58.13/9.60 tff(f9520,axiom,(
% 58.13/9.60 idom_divide(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__divide_311)).
% 58.13/9.60 tff(f79576,plain,(
% 58.13/9.60 spl5880_226),
% 58.13/9.60 inference(avatar_split_clause,[],[f49502,f79573])).
% 58.13/9.60 tff(f79573,plain,(
% 58.13/9.60 spl5880_226 <=> comple592849572758109894attice($o)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_226])])).
% 58.13/9.60 tff(f49502,plain,(
% 58.13/9.60 comple592849572758109894attice($o)),
% 58.13/9.60 inference(cnf_transformation,[],[f9401])).
% 58.13/9.60 tff(f9401,axiom,(
% 58.13/9.60 comple592849572758109894attice($o)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__distrib__lattice_214)).
% 58.13/9.60 tff(f79571,plain,(
% 58.13/9.60 spl5880_225),
% 58.13/9.60 inference(avatar_split_clause,[],[f49501,f79568])).
% 58.13/9.60 tff(f79568,plain,(
% 58.13/9.60 spl5880_225 <=> idom_divide(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_225])])).
% 58.13/9.60 tff(f49501,plain,(
% 58.13/9.60 idom_divide(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9155])).
% 58.13/9.60 tff(f9155,axiom,(
% 58.13/9.60 idom_divide(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__divide)).
% 58.13/9.60 tff(f79566,plain,(
% 58.13/9.60 spl5880_224),
% 58.13/9.60 inference(avatar_split_clause,[],[f49500,f79563])).
% 58.13/9.60 tff(f79563,plain,(
% 58.13/9.60 spl5880_224 <=> idom_divide(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_224])])).
% 58.13/9.60 tff(f49500,plain,(
% 58.13/9.60 idom_divide(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9618])).
% 58.13/9.60 tff(f9618,axiom,(
% 58.13/9.60 idom_divide(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__divide_409)).
% 58.13/9.60 tff(f79561,plain,(
% 58.13/9.60 spl5880_223),
% 58.13/9.60 inference(avatar_split_clause,[],[f49499,f79558])).
% 58.13/9.60 tff(f79558,plain,(
% 58.13/9.60 spl5880_223 <=> idom_divide(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_223])])).
% 58.13/9.60 tff(f49499,plain,(
% 58.13/9.60 idom_divide(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9794])).
% 58.13/9.60 tff(f9794,axiom,(
% 58.13/9.60 idom_divide(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__divide_584)).
% 58.13/9.60 tff(f79556,plain,(
% 58.13/9.60 spl5880_222),
% 58.13/9.60 inference(avatar_split_clause,[],[f49498,f79553])).
% 58.13/9.60 tff(f79553,plain,(
% 58.13/9.60 spl5880_222 <=> idom_divide(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_222])])).
% 58.13/9.60 tff(f49498,plain,(
% 58.13/9.60 idom_divide(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9352])).
% 58.13/9.60 tff(f9352,axiom,(
% 58.13/9.60 idom_divide(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__divide_167)).
% 58.13/9.60 tff(f79551,plain,(
% 58.13/9.60 spl5880_221),
% 58.13/9.60 inference(avatar_split_clause,[],[f49497,f79548])).
% 58.13/9.60 tff(f79548,plain,(
% 58.13/9.60 spl5880_221 <=> comple592849572758109894attice(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_221])])).
% 58.13/9.60 tff(f49497,plain,(
% 58.13/9.60 comple592849572758109894attice(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9645])).
% 58.13/9.60 tff(f9645,axiom,(
% 58.13/9.60 comple592849572758109894attice(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__distrib__lattice_436)).
% 58.13/9.60 tff(f79546,plain,(
% 58.13/9.60 spl5880_220),
% 58.13/9.60 inference(avatar_split_clause,[],[f49496,f79543])).
% 58.13/9.60 tff(f79543,plain,(
% 58.13/9.60 spl5880_220 <=> comple592849572758109894attice(product_unit)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_220])])).
% 58.13/9.60 tff(f49496,plain,(
% 58.13/9.60 comple592849572758109894attice(product_unit)),
% 58.13/9.60 inference(cnf_transformation,[],[f9702])).
% 58.13/9.60 tff(f9702,axiom,(
% 58.13/9.60 comple592849572758109894attice(product_unit)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__distrib__lattice_492)).
% 58.13/9.60 tff(f79541,plain,(
% 58.13/9.60 spl5880_219),
% 58.13/9.60 inference(avatar_split_clause,[],[f49495,f79538])).
% 58.13/9.60 tff(f79538,plain,(
% 58.13/9.60 spl5880_219 <=> linord2810124833399127020strict(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_219])])).
% 58.13/9.60 tff(f49495,plain,(
% 58.13/9.60 linord2810124833399127020strict(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9201])).
% 58.13/9.60 tff(f9201,axiom,(
% 58.13/9.60 linord2810124833399127020strict(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__comm__semiring__strict_29)).
% 58.13/9.60 tff(f79536,plain,(
% 58.13/9.60 spl5880_218),
% 58.13/9.60 inference(avatar_split_clause,[],[f49494,f79533])).
% 58.13/9.60 tff(f79533,plain,(
% 58.13/9.60 spl5880_218 <=> linordered_semiring(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_218])])).
% 58.13/9.60 tff(f49494,plain,(
% 58.13/9.60 linordered_semiring(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9229])).
% 58.13/9.60 tff(f9229,axiom,(
% 58.13/9.60 linordered_semiring(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring_56)).
% 58.13/9.60 tff(f79531,plain,(
% 58.13/9.60 spl5880_217),
% 58.13/9.60 inference(avatar_split_clause,[],[f49493,f79528])).
% 58.13/9.60 tff(f79528,plain,(
% 58.13/9.60 spl5880_217 <=> linord2810124833399127020strict(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_217])])).
% 58.13/9.60 tff(f49493,plain,(
% 58.13/9.60 linord2810124833399127020strict(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9437])).
% 58.13/9.60 tff(f9437,axiom,(
% 58.13/9.60 linord2810124833399127020strict(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__comm__semiring__strict_243)).
% 58.13/9.60 tff(f79526,plain,(
% 58.13/9.60 spl5880_216),
% 58.13/9.60 inference(avatar_split_clause,[],[f49492,f79523])).
% 58.13/9.60 tff(f79523,plain,(
% 58.13/9.60 spl5880_216 <=> linordered_semiring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_216])])).
% 58.13/9.60 tff(f49492,plain,(
% 58.13/9.60 linordered_semiring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9482])).
% 58.13/9.60 tff(f9482,axiom,(
% 58.13/9.60 linordered_semiring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring_275)).
% 58.13/9.60 tff(f79521,plain,(
% 58.13/9.60 spl5880_215),
% 58.13/9.60 inference(avatar_split_clause,[],[f49491,f79518])).
% 58.13/9.60 tff(f79518,plain,(
% 58.13/9.60 spl5880_215 <=> linordered_semiring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_215])])).
% 58.13/9.60 tff(f49491,plain,(
% 58.13/9.60 linordered_semiring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9119])).
% 58.13/9.60 tff(f9119,axiom,(
% 58.13/9.60 linordered_semiring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring)).
% 58.13/9.60 tff(f79516,plain,(
% 58.13/9.60 spl5880_214),
% 58.13/9.60 inference(avatar_split_clause,[],[f49490,f79513])).
% 58.13/9.60 tff(f79513,plain,(
% 58.13/9.60 spl5880_214 <=> linord2810124833399127020strict(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_214])])).
% 58.13/9.60 tff(f49490,plain,(
% 58.13/9.60 linord2810124833399127020strict(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9083])).
% 58.13/9.60 tff(f9083,axiom,(
% 58.13/9.60 linord2810124833399127020strict(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__comm__semiring__strict)).
% 58.13/9.60 tff(f79511,plain,(
% 58.13/9.60 spl5880_213),
% 58.13/9.60 inference(avatar_split_clause,[],[f49489,f79508])).
% 58.13/9.60 tff(f79508,plain,(
% 58.13/9.60 spl5880_213 <=> linord2810124833399127020strict(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_213])])).
% 58.13/9.60 tff(f49489,plain,(
% 58.13/9.60 linord2810124833399127020strict(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9734])).
% 58.13/9.60 tff(f9734,axiom,(
% 58.13/9.60 linord2810124833399127020strict(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__comm__semiring__strict_524)).
% 58.13/9.60 tff(f79506,plain,(
% 58.13/9.60 spl5880_212),
% 58.13/9.60 inference(avatar_split_clause,[],[f49488,f79503])).
% 58.13/9.60 tff(f79503,plain,(
% 58.13/9.60 spl5880_212 <=> linord2810124833399127020strict(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_212])])).
% 58.13/9.60 tff(f49488,plain,(
% 58.13/9.60 linord2810124833399127020strict(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9291])).
% 58.13/9.60 tff(f9291,axiom,(
% 58.13/9.60 linord2810124833399127020strict(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__comm__semiring__strict_115)).
% 58.13/9.60 tff(f79501,plain,(
% 58.13/9.60 spl5880_211),
% 58.13/9.60 inference(avatar_split_clause,[],[f49487,f79498])).
% 58.13/9.60 tff(f79498,plain,(
% 58.13/9.60 spl5880_211 <=> linordered_semiring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_211])])).
% 58.13/9.60 tff(f49487,plain,(
% 58.13/9.60 linordered_semiring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9760])).
% 58.13/9.60 tff(f9760,axiom,(
% 58.13/9.60 linordered_semiring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring_550)).
% 58.13/9.60 tff(f79496,plain,(
% 58.13/9.60 spl5880_210),
% 58.13/9.60 inference(avatar_split_clause,[],[f49486,f79493])).
% 58.13/9.60 tff(f79493,plain,(
% 58.13/9.60 spl5880_210 <=> linordered_semiring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_210])])).
% 58.13/9.60 tff(f49486,plain,(
% 58.13/9.60 linordered_semiring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9316])).
% 58.13/9.60 tff(f9316,axiom,(
% 58.13/9.60 linordered_semiring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring_137)).
% 58.13/9.60 tff(f79491,plain,(
% 58.13/9.60 spl5880_209),
% 58.13/9.60 inference(avatar_split_clause,[],[f49485,f79488])).
% 58.13/9.60 tff(f49485,plain,(
% 58.13/9.60 linordered_idom(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9498])).
% 58.13/9.60 tff(f9498,axiom,(
% 58.13/9.60 linordered_idom(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_290)).
% 58.13/9.60 tff(f79486,plain,(
% 58.13/9.60 spl5880_208),
% 58.13/9.60 inference(avatar_split_clause,[],[f49484,f79483])).
% 58.13/9.60 tff(f49484,plain,(
% 58.13/9.60 linordered_idom(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9135])).
% 58.13/9.60 tff(f9135,axiom,(
% 58.13/9.60 linordered_idom(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__idom)).
% 58.13/9.60 tff(f79481,plain,(
% 58.13/9.60 spl5880_207),
% 58.13/9.60 inference(avatar_split_clause,[],[f49483,f79478])).
% 58.13/9.60 tff(f49483,plain,(
% 58.13/9.60 linordered_idom(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9774])).
% 58.13/9.60 tff(f9774,axiom,(
% 58.13/9.60 linordered_idom(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__idom_564)).
% 58.13/9.60 tff(f79476,plain,(
% 58.13/9.60 spl5880_206),
% 58.13/9.60 inference(avatar_split_clause,[],[f49482,f79473])).
% 58.13/9.60 tff(f49482,plain,(
% 58.13/9.60 linordered_idom(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9331])).
% 58.13/9.60 tff(f9331,axiom,(
% 58.13/9.60 linordered_idom(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__idom_150)).
% 58.13/9.60 tff(f79471,plain,(
% 58.13/9.60 spl5880_205),
% 58.13/9.60 inference(avatar_split_clause,[],[f49481,f79468])).
% 58.13/9.60 tff(f49481,plain,(
% 58.13/9.60 topolo1944317154257567458pology(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9207])).
% 58.13/9.60 tff(f9207,axiom,(
% 58.13/9.60 topolo1944317154257567458pology(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Olinorder__topology_34)).
% 58.13/9.60 tff(f79466,plain,(
% 58.13/9.60 spl5880_204),
% 58.13/9.60 inference(avatar_split_clause,[],[f49480,f79463])).
% 58.13/9.60 tff(f49480,plain,(
% 58.13/9.60 topolo1944317154257567458pology(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9442])).
% 58.13/9.60 tff(f9442,axiom,(
% 58.13/9.60 topolo1944317154257567458pology(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinorder__topology_247)).
% 58.13/9.60 tff(f79461,plain,(
% 58.13/9.60 spl5880_203),
% 58.13/9.60 inference(avatar_split_clause,[],[f49479,f79458])).
% 58.13/9.60 tff(f49479,plain,(
% 58.13/9.60 topolo1944317154257567458pology($o)),
% 58.13/9.60 inference(cnf_transformation,[],[f9403])).
% 58.13/9.60 tff(f9403,axiom,(
% 58.13/9.60 topolo1944317154257567458pology($o)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Olinorder__topology_216)).
% 58.13/9.60 tff(f79456,plain,(
% 58.13/9.60 spl5880_202),
% 58.13/9.60 inference(avatar_split_clause,[],[f49478,f79453])).
% 58.13/9.60 tff(f49478,plain,(
% 58.13/9.60 topolo1944317154257567458pology(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9088])).
% 58.13/9.60 tff(f9088,axiom,(
% 58.13/9.60 topolo1944317154257567458pology(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Olinorder__topology)).
% 58.13/9.60 tff(f79451,plain,(
% 58.13/9.60 spl5880_201),
% 58.13/9.60 inference(avatar_split_clause,[],[f49477,f79448])).
% 58.13/9.60 tff(f79448,plain,(
% 58.13/9.60 spl5880_201 <=> ordere166539214618696060dd_abs(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_201])])).
% 58.13/9.60 tff(f49477,plain,(
% 58.13/9.60 ordere166539214618696060dd_abs(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9463])).
% 58.13/9.60 tff(f9463,axiom,(
% 58.13/9.60 ordere166539214618696060dd_abs(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add__abs_260)).
% 58.13/9.60 tff(f79446,plain,(
% 58.13/9.60 spl5880_200),
% 58.13/9.60 inference(avatar_split_clause,[],[f49476,f79443])).
% 58.13/9.60 tff(f79443,plain,(
% 58.13/9.60 spl5880_200 <=> ordere166539214618696060dd_abs(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_200])])).
% 58.13/9.60 tff(f49476,plain,(
% 58.13/9.60 ordere166539214618696060dd_abs(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9102])).
% 58.13/9.60 tff(f9102,axiom,(
% 58.13/9.60 ordere166539214618696060dd_abs(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add__abs)).
% 58.13/9.60 tff(f79441,plain,(
% 58.13/9.60 spl5880_199),
% 58.13/9.60 inference(avatar_split_clause,[],[f49475,f79438])).
% 58.13/9.60 tff(f79438,plain,(
% 58.13/9.60 spl5880_199 <=> ordere166539214618696060dd_abs(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_199])])).
% 58.13/9.60 tff(f49475,plain,(
% 58.13/9.60 ordere166539214618696060dd_abs(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9303])).
% 58.13/9.60 tff(f9303,axiom,(
% 58.13/9.60 ordere166539214618696060dd_abs(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add__abs_125)).
% 58.13/9.60 tff(f79436,plain,(
% 58.13/9.60 spl5880_198),
% 58.13/9.60 inference(avatar_split_clause,[],[f49474,f79433])).
% 58.13/9.60 tff(f79433,plain,(
% 58.13/9.60 spl5880_198 <=> ordere166539214618696060dd_abs(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_198])])).
% 58.13/9.60 tff(f49474,plain,(
% 58.13/9.60 ordere166539214618696060dd_abs(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9747])).
% 58.13/9.60 tff(f9747,axiom,(
% 58.13/9.60 ordere166539214618696060dd_abs(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add__abs_537)).
% 58.13/9.60 tff(f79431,plain,(
% 58.13/9.60 spl5880_197),
% 58.13/9.60 inference(avatar_split_clause,[],[f49473,f79428])).
% 58.13/9.60 tff(f79428,plain,(
% 58.13/9.60 spl5880_197 <=> topolo2564578578187576103pology(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_197])])).
% 58.13/9.60 tff(f49473,plain,(
% 58.13/9.60 topolo2564578578187576103pology(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9211])).
% 58.13/9.60 tff(f9211,axiom,(
% 58.13/9.60 topolo2564578578187576103pology(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Oorder__topology_38)).
% 58.13/9.60 tff(f79426,plain,(
% 58.13/9.60 spl5880_196),
% 58.13/9.60 inference(avatar_split_clause,[],[f49472,f79423])).
% 58.13/9.60 tff(f79423,plain,(
% 58.13/9.60 spl5880_196 <=> topolo2564578578187576103pology(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_196])])).
% 58.13/9.60 tff(f49472,plain,(
% 58.13/9.60 topolo2564578578187576103pology(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9450])).
% 58.13/9.60 tff(f9450,axiom,(
% 58.13/9.60 topolo2564578578187576103pology(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Oorder__topology_253)).
% 58.13/9.60 tff(f79421,plain,(
% 58.13/9.60 spl5880_195),
% 58.13/9.60 inference(avatar_split_clause,[],[f49471,f79418])).
% 58.13/9.60 tff(f79418,plain,(
% 58.13/9.60 spl5880_195 <=> topolo2564578578187576103pology($o)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_195])])).
% 58.13/9.60 tff(f49471,plain,(
% 58.13/9.60 topolo2564578578187576103pology($o)),
% 58.13/9.60 inference(cnf_transformation,[],[f9407])).
% 58.13/9.60 tff(f9407,axiom,(
% 58.13/9.60 topolo2564578578187576103pology($o)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Oorder__topology_220)).
% 58.13/9.60 tff(f79416,plain,(
% 58.13/9.60 spl5880_194),
% 58.13/9.60 inference(avatar_split_clause,[],[f49470,f79413])).
% 58.13/9.60 tff(f79413,plain,(
% 58.13/9.60 spl5880_194 <=> topolo2564578578187576103pology(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_194])])).
% 58.13/9.60 tff(f49470,plain,(
% 58.13/9.60 topolo2564578578187576103pology(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9094])).
% 58.13/9.60 tff(f9094,axiom,(
% 58.13/9.60 topolo2564578578187576103pology(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Oorder__topology)).
% 58.13/9.60 tff(f79411,plain,(
% 58.13/9.60 spl5880_193),
% 58.13/9.60 inference(avatar_split_clause,[],[f49469,f79408])).
% 58.13/9.60 tff(f79408,plain,(
% 58.13/9.60 spl5880_193 <=> ordered_ab_group_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_193])])).
% 58.13/9.60 tff(f49469,plain,(
% 58.13/9.60 ordered_ab_group_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9480])).
% 58.13/9.60 tff(f9480,axiom,(
% 58.13/9.60 ordered_ab_group_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add_273)).
% 58.13/9.60 tff(f79406,plain,(
% 58.13/9.60 spl5880_192),
% 58.13/9.60 inference(avatar_split_clause,[],[f49468,f79403])).
% 58.13/9.60 tff(f79403,plain,(
% 58.13/9.60 spl5880_192 <=> ordered_ab_group_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_192])])).
% 58.13/9.60 tff(f49468,plain,(
% 58.13/9.60 ordered_ab_group_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9117])).
% 58.13/9.60 tff(f9117,axiom,(
% 58.13/9.60 ordered_ab_group_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add)).
% 58.13/9.60 tff(f79401,plain,(
% 58.13/9.60 spl5880_191),
% 58.13/9.60 inference(avatar_split_clause,[],[f49467,f79398])).
% 58.13/9.60 tff(f79398,plain,(
% 58.13/9.60 spl5880_191 <=> ordered_ab_group_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_191])])).
% 58.13/9.60 tff(f49467,plain,(
% 58.13/9.60 ordered_ab_group_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9758])).
% 58.13/9.60 tff(f9758,axiom,(
% 58.13/9.60 ordered_ab_group_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add_548)).
% 58.13/9.60 tff(f79396,plain,(
% 58.13/9.60 spl5880_190),
% 58.13/9.60 inference(avatar_split_clause,[],[f49466,f79393])).
% 58.13/9.60 tff(f79393,plain,(
% 58.13/9.60 spl5880_190 <=> ordered_ab_group_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_190])])).
% 58.13/9.60 tff(f49466,plain,(
% 58.13/9.60 ordered_ab_group_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9314])).
% 58.13/9.60 tff(f9314,axiom,(
% 58.13/9.60 ordered_ab_group_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add_135)).
% 58.13/9.60 tff(f79391,plain,(
% 58.13/9.60 spl5880_189),
% 58.13/9.60 inference(avatar_split_clause,[],[f49465,f79388])).
% 58.13/9.60 tff(f79388,plain,(
% 58.13/9.60 spl5880_189 <=> topolo4211221413907600880p_mult(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_189])])).
% 58.13/9.60 tff(f49465,plain,(
% 58.13/9.60 topolo4211221413907600880p_mult(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9214])).
% 58.13/9.60 tff(f9214,axiom,(
% 58.13/9.60 topolo4211221413907600880p_mult(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__semigroup__mult_41)).
% 58.13/9.60 tff(f79386,plain,(
% 58.13/9.60 spl5880_188),
% 58.13/9.60 inference(avatar_split_clause,[],[f49464,f79383])).
% 58.13/9.60 tff(f79383,plain,(
% 58.13/9.60 spl5880_188 <=> topolo4211221413907600880p_mult(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_188])])).
% 58.13/9.60 tff(f49464,plain,(
% 58.13/9.60 topolo4211221413907600880p_mult(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9455])).
% 58.13/9.60 tff(f9455,axiom,(
% 58.13/9.60 topolo4211221413907600880p_mult(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__semigroup__mult_256)).
% 58.13/9.60 tff(f79381,plain,(
% 58.13/9.60 spl5880_187),
% 58.13/9.60 inference(avatar_split_clause,[],[f49463,f79378])).
% 58.13/9.60 tff(f49463,plain,(
% 58.13/9.60 linord4710134922213307826strict(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9473])).
% 58.13/9.60 tff(f9473,axiom,(
% 58.13/9.60 linord4710134922213307826strict(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring__strict_268)).
% 58.13/9.60 tff(f79376,plain,(
% 58.13/9.60 spl5880_186),
% 58.13/9.60 inference(avatar_split_clause,[],[f49462,f79373])).
% 58.13/9.60 tff(f49462,plain,(
% 58.13/9.60 linord4710134922213307826strict(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9111])).
% 58.13/9.60 tff(f9111,axiom,(
% 58.13/9.60 linord4710134922213307826strict(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring__strict)).
% 58.13/9.60 tff(f79371,plain,(
% 58.13/9.60 spl5880_185),
% 58.13/9.60 inference(avatar_split_clause,[],[f49461,f79368])).
% 58.13/9.60 tff(f79368,plain,(
% 58.13/9.60 spl5880_185 <=> topolo4211221413907600880p_mult(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_185])])).
% 58.13/9.60 tff(f49461,plain,(
% 58.13/9.60 topolo4211221413907600880p_mult(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9097])).
% 58.13/9.60 tff(f9097,axiom,(
% 58.13/9.60 topolo4211221413907600880p_mult(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__semigroup__mult)).
% 58.13/9.60 tff(f79366,plain,(
% 58.13/9.60 spl5880_184),
% 58.13/9.60 inference(avatar_split_clause,[],[f49460,f79363])).
% 58.13/9.60 tff(f79363,plain,(
% 58.13/9.60 spl5880_184 <=> topolo4211221413907600880p_mult(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_184])])).
% 58.13/9.60 tff(f49460,plain,(
% 58.13/9.60 topolo4211221413907600880p_mult(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9580])).
% 58.13/9.60 tff(f9580,axiom,(
% 58.13/9.60 topolo4211221413907600880p_mult(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__semigroup__mult_371)).
% 58.13/9.60 tff(f79361,plain,(
% 58.13/9.60 spl5880_183),
% 58.13/9.60 inference(avatar_split_clause,[],[f49459,f79358])).
% 58.13/9.60 tff(f49459,plain,(
% 58.13/9.60 linord4710134922213307826strict(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9310])).
% 58.13/9.60 tff(f9310,axiom,(
% 58.13/9.60 linord4710134922213307826strict(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring__strict_131)).
% 58.13/9.60 tff(f79356,plain,(
% 58.13/9.60 spl5880_182),
% 58.13/9.60 inference(avatar_split_clause,[],[f49458,f79353])).
% 58.13/9.60 tff(f49458,plain,(
% 58.13/9.60 linord4710134922213307826strict(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9753])).
% 58.13/9.60 tff(f9753,axiom,(
% 58.13/9.60 linord4710134922213307826strict(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring__strict_543)).
% 58.13/9.60 tff(f79351,plain,(
% 58.13/9.60 spl5880_181),
% 58.13/9.60 inference(avatar_split_clause,[],[f49457,f79348])).
% 58.13/9.60 tff(f79348,plain,(
% 58.13/9.60 spl5880_181 <=> boolea8198339166811842893lgebra($o)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_181])])).
% 58.13/9.60 tff(f49457,plain,(
% 58.13/9.60 boolea8198339166811842893lgebra($o)),
% 58.13/9.60 inference(cnf_transformation,[],[f9408])).
% 58.13/9.60 tff(f9408,axiom,(
% 58.13/9.60 boolea8198339166811842893lgebra($o)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Boolean__Algebras_Oboolean__algebra_221)).
% 58.13/9.60 tff(f79346,plain,(
% 58.13/9.60 spl5880_180),
% 58.13/9.60 inference(avatar_split_clause,[],[f49456,f79343])).
% 58.13/9.60 tff(f79343,plain,(
% 58.13/9.60 spl5880_180 <=> boolea8198339166811842893lgebra(product_unit)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_180])])).
% 58.13/9.60 tff(f49456,plain,(
% 58.13/9.60 boolea8198339166811842893lgebra(product_unit)),
% 58.13/9.60 inference(cnf_transformation,[],[f9707])).
% 58.13/9.60 tff(f9707,axiom,(
% 58.13/9.60 boolea8198339166811842893lgebra(product_unit)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Boolean__Algebras_Oboolean__algebra_497)).
% 58.13/9.60 tff(f79341,plain,(
% 58.13/9.60 spl5880_179),
% 58.13/9.60 inference(avatar_split_clause,[],[f49455,f79338])).
% 58.13/9.60 tff(f79338,plain,(
% 58.13/9.60 spl5880_179 <=> linord5086331880401160121up_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_179])])).
% 58.13/9.60 tff(f49455,plain,(
% 58.13/9.60 linord5086331880401160121up_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9467])).
% 58.13/9.60 tff(f9467,axiom,(
% 58.13/9.60 linord5086331880401160121up_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__group__add_263)).
% 58.13/9.60 tff(f79336,plain,(
% 58.13/9.60 spl5880_178),
% 58.13/9.60 inference(avatar_split_clause,[],[f49454,f79333])).
% 58.13/9.60 tff(f79333,plain,(
% 58.13/9.60 spl5880_178 <=> linord5086331880401160121up_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_178])])).
% 58.13/9.60 tff(f49454,plain,(
% 58.13/9.60 linord5086331880401160121up_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9106])).
% 58.13/9.60 tff(f9106,axiom,(
% 58.13/9.60 linord5086331880401160121up_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__group__add)).
% 58.13/9.60 tff(f79331,plain,(
% 58.13/9.60 spl5880_177),
% 58.13/9.60 inference(avatar_split_clause,[],[f49453,f79328])).
% 58.13/9.60 tff(f79328,plain,(
% 58.13/9.60 spl5880_177 <=> linord5086331880401160121up_add(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_177])])).
% 58.13/9.60 tff(f49453,plain,(
% 58.13/9.60 linord5086331880401160121up_add(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9749])).
% 58.13/9.60 tff(f9749,axiom,(
% 58.13/9.60 linord5086331880401160121up_add(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__group__add_539)).
% 58.13/9.60 tff(f79326,plain,(
% 58.13/9.60 spl5880_176),
% 58.13/9.60 inference(avatar_split_clause,[],[f49452,f79323])).
% 58.13/9.60 tff(f79323,plain,(
% 58.13/9.60 spl5880_176 <=> linord5086331880401160121up_add(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_176])])).
% 58.13/9.60 tff(f49452,plain,(
% 58.13/9.60 linord5086331880401160121up_add(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9306])).
% 58.13/9.60 tff(f9306,axiom,(
% 58.13/9.60 linord5086331880401160121up_add(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__group__add_127)).
% 58.13/9.60 tff(f79321,plain,(
% 58.13/9.60 spl5880_175),
% 58.13/9.60 inference(avatar_split_clause,[],[f49451,f79318])).
% 58.13/9.60 tff(f79318,plain,(
% 58.13/9.60 spl5880_175 <=> no_top(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_175])])).
% 58.13/9.60 tff(f49451,plain,(
% 58.13/9.60 no_top(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9263])).
% 58.13/9.60 tff(f9263,axiom,(
% 58.13/9.60 no_top(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Ono__top_88)).
% 58.13/9.60 tff(f79316,plain,(
% 58.13/9.60 spl5880_174),
% 58.13/9.60 inference(avatar_split_clause,[],[f49450,f79313])).
% 58.13/9.60 tff(f79313,plain,(
% 58.13/9.60 spl5880_174 <=> no_top(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_174])])).
% 58.13/9.60 tff(f49450,plain,(
% 58.13/9.60 no_top(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9525])).
% 58.13/9.60 tff(f9525,axiom,(
% 58.13/9.60 no_top(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__top_316)).
% 58.13/9.60 tff(f79311,plain,(
% 58.13/9.60 spl5880_173),
% 58.13/9.60 inference(avatar_split_clause,[],[f49449,f79308])).
% 58.13/9.60 tff(f79308,plain,(
% 58.13/9.60 spl5880_173 <=> no_top(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_173])])).
% 58.13/9.60 tff(f49449,plain,(
% 58.13/9.60 no_top(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9160])).
% 58.13/9.60 tff(f9160,axiom,(
% 58.13/9.60 no_top(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__top)).
% 58.13/9.60 tff(f79306,plain,(
% 58.13/9.60 spl5880_172),
% 58.13/9.60 inference(avatar_split_clause,[],[f49448,f79303])).
% 58.13/9.60 tff(f79303,plain,(
% 58.13/9.60 spl5880_172 <=> no_top(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_172])])).
% 58.13/9.60 tff(f49448,plain,(
% 58.13/9.60 no_top(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9357])).
% 58.13/9.60 tff(f9357,axiom,(
% 58.13/9.60 no_top(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__top_172)).
% 58.13/9.60 tff(f79301,plain,(
% 58.13/9.60 spl5880_171),
% 58.13/9.60 inference(avatar_split_clause,[],[f49447,f79298])).
% 58.13/9.60 tff(f79298,plain,(
% 58.13/9.60 spl5880_171 <=> topolo6943815403480290642id_add(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_171])])).
% 58.13/9.60 tff(f49447,plain,(
% 58.13/9.60 topolo6943815403480290642id_add(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9222])).
% 58.13/9.60 tff(f9222,axiom,(
% 58.13/9.60 topolo6943815403480290642id_add(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__add_49)).
% 58.13/9.60 tff(f79296,plain,(
% 58.13/9.60 spl5880_170),
% 58.13/9.60 inference(avatar_split_clause,[],[f49446,f79293])).
% 58.13/9.60 tff(f79293,plain,(
% 58.13/9.60 spl5880_170 <=> topolo6943815403480290642id_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_170])])).
% 58.13/9.60 tff(f49446,plain,(
% 58.13/9.60 topolo6943815403480290642id_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9471])).
% 58.13/9.60 tff(f9471,axiom,(
% 58.13/9.60 topolo6943815403480290642id_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__monoid__add_266)).
% 58.13/9.60 tff(f79291,plain,(
% 58.13/9.60 spl5880_169),
% 58.13/9.60 inference(avatar_split_clause,[],[f49445,f79288])).
% 58.13/9.60 tff(f79288,plain,(
% 58.13/9.60 spl5880_169 <=> ordered_ring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_169])])).
% 58.13/9.60 tff(f49445,plain,(
% 58.13/9.60 ordered_ring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9514])).
% 58.13/9.60 tff(f9514,axiom,(
% 58.13/9.60 ordered_ring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring_306)).
% 58.13/9.60 tff(f79286,plain,(
% 58.13/9.60 spl5880_168),
% 58.13/9.60 inference(avatar_split_clause,[],[f49444,f79283])).
% 58.13/9.60 tff(f79283,plain,(
% 58.13/9.60 spl5880_168 <=> topolo6943815403480290642id_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_168])])).
% 58.13/9.60 tff(f49444,plain,(
% 58.13/9.60 topolo6943815403480290642id_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9109])).
% 58.13/9.60 tff(f9109,axiom,(
% 58.13/9.60 topolo6943815403480290642id_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__add)).
% 58.13/9.60 tff(f79281,plain,(
% 58.13/9.60 spl5880_167),
% 58.13/9.60 inference(avatar_split_clause,[],[f49443,f79278])).
% 58.13/9.60 tff(f79278,plain,(
% 58.13/9.60 spl5880_167 <=> ordered_ring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_167])])).
% 58.13/9.60 tff(f49443,plain,(
% 58.13/9.60 ordered_ring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9148])).
% 58.13/9.60 tff(f9148,axiom,(
% 58.13/9.60 ordered_ring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring)).
% 58.13/9.60 tff(f79276,plain,(
% 58.13/9.60 spl5880_166),
% 58.13/9.60 inference(avatar_split_clause,[],[f49442,f79273])).
% 58.13/9.60 tff(f79273,plain,(
% 58.13/9.60 spl5880_166 <=> topolo6943815403480290642id_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_166])])).
% 58.13/9.60 tff(f49442,plain,(
% 58.13/9.60 topolo6943815403480290642id_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9590])).
% 58.13/9.60 tff(f9590,axiom,(
% 58.13/9.60 topolo6943815403480290642id_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__monoid__add_381)).
% 58.13/9.60 tff(f79271,plain,(
% 58.13/9.60 spl5880_165),
% 58.13/9.60 inference(avatar_split_clause,[],[f49441,f79268])).
% 58.13/9.60 tff(f79268,plain,(
% 58.13/9.60 spl5880_165 <=> ordered_ring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_165])])).
% 58.13/9.60 tff(f49441,plain,(
% 58.13/9.60 ordered_ring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9347])).
% 58.13/9.60 tff(f9347,axiom,(
% 58.13/9.60 ordered_ring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring_162)).
% 58.13/9.60 tff(f79266,plain,(
% 58.13/9.60 spl5880_164),
% 58.13/9.60 inference(avatar_split_clause,[],[f49440,f79263])).
% 58.13/9.60 tff(f79263,plain,(
% 58.13/9.60 spl5880_164 <=> ordered_ring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_164])])).
% 58.13/9.60 tff(f49440,plain,(
% 58.13/9.60 ordered_ring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9787])).
% 58.13/9.60 tff(f9787,axiom,(
% 58.13/9.60 ordered_ring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring_577)).
% 58.13/9.60 tff(f79261,plain,(
% 58.13/9.60 spl5880_163),
% 58.13/9.60 inference(avatar_split_clause,[],[f49439,f79258])).
% 58.13/9.60 tff(f79258,plain,(
% 58.13/9.60 spl5880_163 <=> linordered_ring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_163])])).
% 58.13/9.60 tff(f49439,plain,(
% 58.13/9.60 linordered_ring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9497])).
% 58.13/9.60 tff(f9497,axiom,(
% 58.13/9.60 linordered_ring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring_289)).
% 58.13/9.60 tff(f79256,plain,(
% 58.13/9.60 spl5880_162),
% 58.13/9.60 inference(avatar_split_clause,[],[f49438,f79253])).
% 58.13/9.60 tff(f79253,plain,(
% 58.13/9.60 spl5880_162 <=> linordered_ring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_162])])).
% 58.13/9.60 tff(f49438,plain,(
% 58.13/9.60 linordered_ring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9134])).
% 58.13/9.60 tff(f9134,axiom,(
% 58.13/9.60 linordered_ring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring)).
% 58.13/9.60 tff(f79251,plain,(
% 58.13/9.60 spl5880_161),
% 58.13/9.60 inference(avatar_split_clause,[],[f49437,f79248])).
% 58.13/9.60 tff(f79248,plain,(
% 58.13/9.60 spl5880_161 <=> linordered_ring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_161])])).
% 58.13/9.60 tff(f49437,plain,(
% 58.13/9.60 linordered_ring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9773])).
% 58.13/9.60 tff(f9773,axiom,(
% 58.13/9.60 linordered_ring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring_563)).
% 58.13/9.60 tff(f79246,plain,(
% 58.13/9.60 spl5880_160),
% 58.13/9.60 inference(avatar_split_clause,[],[f49436,f79243])).
% 58.13/9.60 tff(f79243,plain,(
% 58.13/9.60 spl5880_160 <=> linordered_ring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_160])])).
% 58.13/9.60 tff(f49436,plain,(
% 58.13/9.60 linordered_ring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9330])).
% 58.13/9.60 tff(f9330,axiom,(
% 58.13/9.60 linordered_ring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring_149)).
% 58.13/9.60 tff(f79241,plain,(
% 58.13/9.60 spl5880_159),
% 58.13/9.60 inference(avatar_split_clause,[],[f49435,f79238])).
% 58.13/9.60 tff(f79238,plain,(
% 58.13/9.60 spl5880_159 <=> topolo5987344860129210374id_add(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_159])])).
% 58.13/9.60 tff(f49435,plain,(
% 58.13/9.60 topolo5987344860129210374id_add(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9209])).
% 58.13/9.60 tff(f9209,axiom,(
% 58.13/9.60 topolo5987344860129210374id_add(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__add_36)).
% 58.13/9.60 tff(f79236,plain,(
% 58.13/9.60 spl5880_158),
% 58.13/9.60 inference(avatar_split_clause,[],[f49434,f79233])).
% 58.13/9.60 tff(f79233,plain,(
% 58.13/9.60 spl5880_158 <=> topolo5987344860129210374id_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_158])])).
% 58.13/9.60 tff(f49434,plain,(
% 58.13/9.60 topolo5987344860129210374id_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9448])).
% 58.13/9.60 tff(f9448,axiom,(
% 58.13/9.60 topolo5987344860129210374id_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__comm__monoid__add_251)).
% 58.13/9.60 tff(f79231,plain,(
% 58.13/9.60 spl5880_157),
% 58.13/9.60 inference(avatar_split_clause,[],[f49433,f79228])).
% 58.13/9.60 tff(f79228,plain,(
% 58.13/9.60 spl5880_157 <=> topolo5987344860129210374id_add(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_157])])).
% 58.13/9.60 tff(f49433,plain,(
% 58.13/9.60 topolo5987344860129210374id_add(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9091])).
% 58.13/9.60 tff(f9091,axiom,(
% 58.13/9.60 topolo5987344860129210374id_add(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__add)).
% 58.13/9.60 tff(f79226,plain,(
% 58.13/9.60 spl5880_156),
% 58.13/9.60 inference(avatar_split_clause,[],[f49432,f79223])).
% 58.13/9.60 tff(f79223,plain,(
% 58.13/9.60 spl5880_156 <=> topolo5987344860129210374id_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_156])])).
% 58.13/9.60 tff(f49432,plain,(
% 58.13/9.60 topolo5987344860129210374id_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9576])).
% 58.13/9.60 tff(f9576,axiom,(
% 58.13/9.60 topolo5987344860129210374id_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__comm__monoid__add_367)).
% 58.13/9.60 tff(f79221,plain,(
% 58.13/9.60 spl5880_155),
% 58.13/9.60 inference(avatar_split_clause,[],[f49431,f79218])).
% 58.13/9.60 tff(f49431,plain,(
% 58.13/9.60 abs_if(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9539])).
% 58.13/9.60 tff(f9539,axiom,(
% 58.13/9.60 abs_if(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oabs__if_330)).
% 58.13/9.60 tff(f79216,plain,(
% 58.13/9.60 spl5880_154),
% 58.13/9.60 inference(avatar_split_clause,[],[f49430,f79213])).
% 58.13/9.60 tff(f49430,plain,(
% 58.13/9.60 abs_if(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9175])).
% 58.13/9.60 tff(f9175,axiom,(
% 58.13/9.60 abs_if(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oabs__if)).
% 58.13/9.60 tff(f79211,plain,(
% 58.13/9.60 spl5880_153),
% 58.13/9.60 inference(avatar_split_clause,[],[f49429,f79208])).
% 58.13/9.60 tff(f79208,plain,(
% 58.13/9.60 spl5880_153 <=> abs_if(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_153])])).
% 58.13/9.60 tff(f49429,plain,(
% 58.13/9.60 abs_if(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9809])).
% 58.13/9.60 tff(f9809,axiom,(
% 58.13/9.60 abs_if(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oabs__if_599)).
% 58.13/9.60 tff(f79206,plain,(
% 58.13/9.60 spl5880_152),
% 58.13/9.60 inference(avatar_split_clause,[],[f49428,f79203])).
% 58.13/9.60 tff(f79203,plain,(
% 58.13/9.60 spl5880_152 <=> abs_if(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_152])])).
% 58.13/9.60 tff(f49428,plain,(
% 58.13/9.60 abs_if(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9371])).
% 58.13/9.60 tff(f9371,axiom,(
% 58.13/9.60 abs_if(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oabs__if_185)).
% 58.13/9.60 tff(f79201,plain,(
% 58.13/9.60 spl5880_151),
% 58.13/9.60 inference(avatar_split_clause,[],[f49427,f79198])).
% 58.13/9.60 tff(f79198,plain,(
% 58.13/9.60 spl5880_151 <=> linord715952674999750819strict(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_151])])).
% 58.13/9.60 tff(f49427,plain,(
% 58.13/9.60 linord715952674999750819strict(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9446])).
% 58.13/9.60 tff(f9446,axiom,(
% 58.13/9.60 linord715952674999750819strict(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1__strict_249)).
% 58.13/9.60 tff(f79196,plain,(
% 58.13/9.60 spl5880_150),
% 58.13/9.60 inference(avatar_split_clause,[],[f49426,f79193])).
% 58.13/9.60 tff(f79193,plain,(
% 58.13/9.60 spl5880_150 <=> linord6961819062388156250ring_1(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_150])])).
% 58.13/9.60 tff(f49426,plain,(
% 58.13/9.60 linord6961819062388156250ring_1(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9479])).
% 58.13/9.60 tff(f9479,axiom,(
% 58.13/9.60 linord6961819062388156250ring_1(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1_272)).
% 58.13/9.60 tff(f79191,plain,(
% 58.13/9.60 spl5880_149),
% 58.13/9.60 inference(avatar_split_clause,[],[f49425,f79188])).
% 58.13/9.60 tff(f79188,plain,(
% 58.13/9.60 spl5880_149 <=> ordered_ring_abs(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_149])])).
% 58.13/9.60 tff(f49425,plain,(
% 58.13/9.60 ordered_ring_abs(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9495])).
% 58.13/9.60 tff(f9495,axiom,(
% 58.13/9.60 ordered_ring_abs(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring__abs_287)).
% 58.13/9.60 tff(f79186,plain,(
% 58.13/9.60 spl5880_148),
% 58.13/9.60 inference(avatar_split_clause,[],[f49424,f79183])).
% 58.13/9.60 tff(f79183,plain,(
% 58.13/9.60 spl5880_148 <=> ordered_ring_abs(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_148])])).
% 58.13/9.60 tff(f49424,plain,(
% 58.13/9.60 ordered_ring_abs(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9130])).
% 58.13/9.60 tff(f9130,axiom,(
% 58.13/9.60 ordered_ring_abs(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring__abs)).
% 58.13/9.60 tff(f79181,plain,(
% 58.13/9.60 spl5880_147),
% 58.13/9.60 inference(avatar_split_clause,[],[f49423,f79178])).
% 58.13/9.60 tff(f79178,plain,(
% 58.13/9.60 spl5880_147 <=> linord715952674999750819strict(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_147])])).
% 58.13/9.60 tff(f49423,plain,(
% 58.13/9.60 linord715952674999750819strict(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9090])).
% 58.13/9.60 tff(f9090,axiom,(
% 58.13/9.60 linord715952674999750819strict(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1__strict)).
% 58.13/9.60 tff(f79176,plain,(
% 58.13/9.60 spl5880_146),
% 58.13/9.60 inference(avatar_split_clause,[],[f49422,f79173])).
% 58.13/9.60 tff(f79173,plain,(
% 58.13/9.60 spl5880_146 <=> linord6961819062388156250ring_1(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_146])])).
% 58.13/9.60 tff(f49422,plain,(
% 58.13/9.60 linord6961819062388156250ring_1(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9116])).
% 58.13/9.60 tff(f9116,axiom,(
% 58.13/9.60 linord6961819062388156250ring_1(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1)).
% 58.13/9.60 tff(f79171,plain,(
% 58.13/9.60 spl5880_145),
% 58.13/9.60 inference(avatar_split_clause,[],[f49421,f79168])).
% 58.13/9.60 tff(f79168,plain,(
% 58.13/9.60 spl5880_145 <=> linord6961819062388156250ring_1(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_145])])).
% 58.13/9.60 tff(f49421,plain,(
% 58.13/9.60 linord6961819062388156250ring_1(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9757])).
% 58.13/9.60 tff(f9757,axiom,(
% 58.13/9.60 linord6961819062388156250ring_1(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1_547)).
% 58.13/9.60 tff(f79166,plain,(
% 58.13/9.60 spl5880_144),
% 58.13/9.60 inference(avatar_split_clause,[],[f49420,f79163])).
% 58.13/9.60 tff(f79163,plain,(
% 58.13/9.60 spl5880_144 <=> linord715952674999750819strict(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_144])])).
% 58.13/9.60 tff(f49420,plain,(
% 58.13/9.60 linord715952674999750819strict(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9738])).
% 58.13/9.60 tff(f9738,axiom,(
% 58.13/9.60 linord715952674999750819strict(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1__strict_528)).
% 58.13/9.60 tff(f79161,plain,(
% 58.13/9.60 spl5880_143),
% 58.13/9.60 inference(avatar_split_clause,[],[f49419,f79158])).
% 58.13/9.60 tff(f79158,plain,(
% 58.13/9.60 spl5880_143 <=> linord715952674999750819strict(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_143])])).
% 58.13/9.60 tff(f49419,plain,(
% 58.13/9.60 linord715952674999750819strict(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9295])).
% 58.13/9.60 tff(f9295,axiom,(
% 58.13/9.60 linord715952674999750819strict(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1__strict_118)).
% 58.13/9.60 tff(f79156,plain,(
% 58.13/9.60 spl5880_142),
% 58.13/9.60 inference(avatar_split_clause,[],[f49418,f79153])).
% 58.13/9.60 tff(f79153,plain,(
% 58.13/9.60 spl5880_142 <=> ordered_ring_abs(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_142])])).
% 58.13/9.60 tff(f49418,plain,(
% 58.13/9.60 ordered_ring_abs(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9328])).
% 58.13/9.60 tff(f9328,axiom,(
% 58.13/9.60 ordered_ring_abs(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring__abs_147)).
% 58.13/9.60 tff(f79151,plain,(
% 58.13/9.60 spl5880_141),
% 58.13/9.60 inference(avatar_split_clause,[],[f49417,f79148])).
% 58.13/9.60 tff(f79148,plain,(
% 58.13/9.60 spl5880_141 <=> ordered_ring_abs(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_141])])).
% 58.13/9.60 tff(f49417,plain,(
% 58.13/9.60 ordered_ring_abs(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9769])).
% 58.13/9.60 tff(f9769,axiom,(
% 58.13/9.60 ordered_ring_abs(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring__abs_559)).
% 58.13/9.60 tff(f79146,plain,(
% 58.13/9.60 spl5880_140),
% 58.13/9.60 inference(avatar_split_clause,[],[f49416,f79143])).
% 58.13/9.60 tff(f79143,plain,(
% 58.13/9.60 spl5880_140 <=> linord6961819062388156250ring_1(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_140])])).
% 58.13/9.60 tff(f49416,plain,(
% 58.13/9.60 linord6961819062388156250ring_1(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9313])).
% 58.13/9.60 tff(f9313,axiom,(
% 58.13/9.60 linord6961819062388156250ring_1(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1_134)).
% 58.13/9.60 tff(f79141,plain,(
% 58.13/9.60 spl5880_139),
% 58.13/9.60 inference(avatar_split_clause,[],[f49415,f79138])).
% 58.13/9.60 tff(f49415,plain,(
% 58.13/9.60 bit_se359711467146920520ations(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9200])).
% 58.13/9.60 tff(f9200,axiom,(
% 58.13/9.60 bit_se359711467146920520ations(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bit__operations_28)).
% 58.13/9.60 tff(f79136,plain,(
% 58.13/9.60 spl5880_138),
% 58.13/9.60 inference(avatar_split_clause,[],[f49414,f79133])).
% 58.13/9.60 tff(f49414,plain,(
% 58.13/9.60 bit_se359711467146920520ations(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9082])).
% 58.13/9.60 tff(f9082,axiom,(
% 58.13/9.60 bit_se359711467146920520ations(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bit__operations)).
% 58.13/9.60 tff(f79131,plain,(
% 58.13/9.60 spl5880_137),
% 58.13/9.60 inference(avatar_split_clause,[],[f49413,f79128])).
% 58.13/9.60 tff(f79128,plain,(
% 58.13/9.60 spl5880_137 <=> bit_se359711467146920520ations(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_137])])).
% 58.13/9.60 tff(f49413,plain,(
% 58.13/9.60 bit_se359711467146920520ations(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9733])).
% 58.13/9.60 tff(f9733,axiom,(
% 58.13/9.60 bit_se359711467146920520ations(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bit__operations_523)).
% 58.13/9.60 tff(f79126,plain,(
% 58.13/9.60 spl5880_136),
% 58.13/9.60 inference(avatar_split_clause,[],[f49412,f79123])).
% 58.13/9.60 tff(f79123,plain,(
% 58.13/9.60 spl5880_136 <=> division_ring(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_136])])).
% 58.13/9.60 tff(f49412,plain,(
% 58.13/9.60 division_ring(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9507])).
% 58.13/9.60 tff(f9507,axiom,(
% 58.13/9.60 division_ring(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Odivision__ring_299)).
% 58.13/9.60 tff(f79121,plain,(
% 58.13/9.60 spl5880_135),
% 58.13/9.60 inference(avatar_split_clause,[],[f49411,f79118])).
% 58.13/9.60 tff(f79118,plain,(
% 58.13/9.60 spl5880_135 <=> division_ring(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_135])])).
% 58.13/9.60 tff(f49411,plain,(
% 58.13/9.60 division_ring(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9610])).
% 58.13/9.60 tff(f9610,axiom,(
% 58.13/9.60 division_ring(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Odivision__ring_401)).
% 58.13/9.60 tff(f79116,plain,(
% 58.13/9.60 spl5880_134),
% 58.13/9.60 inference(avatar_split_clause,[],[f49410,f79113])).
% 58.13/9.60 tff(f79113,plain,(
% 58.13/9.60 spl5880_134 <=> division_ring(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_134])])).
% 58.13/9.60 tff(f49410,plain,(
% 58.13/9.60 division_ring(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9340])).
% 58.13/9.60 tff(f9340,axiom,(
% 58.13/9.60 division_ring(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Odivision__ring)).
% 58.13/9.60 tff(f79111,plain,(
% 58.13/9.60 spl5880_133),
% 58.13/9.60 inference(avatar_split_clause,[],[f49409,f79108])).
% 58.13/9.60 tff(f79108,plain,(
% 58.13/9.60 spl5880_133 <=> field_char_0(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_133])])).
% 58.13/9.60 tff(f49409,plain,(
% 58.13/9.60 field_char_0(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9512])).
% 58.13/9.60 tff(f9512,axiom,(
% 58.13/9.60 field_char_0(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__char__0_304)).
% 58.13/9.60 tff(f79106,plain,(
% 58.13/9.60 spl5880_132),
% 58.13/9.60 inference(avatar_split_clause,[],[f49408,f79103])).
% 58.13/9.60 tff(f79103,plain,(
% 58.13/9.60 spl5880_132 <=> field_char_0(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_132])])).
% 58.13/9.60 tff(f49408,plain,(
% 58.13/9.60 field_char_0(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9614])).
% 58.13/9.60 tff(f9614,axiom,(
% 58.13/9.60 field_char_0(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__char__0_405)).
% 58.13/9.60 tff(f79101,plain,(
% 58.13/9.60 spl5880_131),
% 58.13/9.60 inference(avatar_split_clause,[],[f49407,f79098])).
% 58.13/9.60 tff(f79098,plain,(
% 58.13/9.60 spl5880_131 <=> field_char_0(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_131])])).
% 58.13/9.60 tff(f49407,plain,(
% 58.13/9.60 field_char_0(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9345])).
% 58.13/9.60 tff(f9345,axiom,(
% 58.13/9.60 field_char_0(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__char__0)).
% 58.13/9.60 tff(f79096,plain,(
% 58.13/9.60 spl5880_130),
% 58.13/9.60 inference(avatar_split_clause,[],[f49406,f79093])).
% 58.13/9.60 tff(f79093,plain,(
% 58.13/9.60 spl5880_130 <=> field(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_130])])).
% 58.13/9.60 tff(f49406,plain,(
% 58.13/9.60 field(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9541])).
% 58.13/9.60 tff(f9541,axiom,(
% 58.13/9.60 field(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield_332)).
% 58.13/9.60 tff(f79091,plain,(
% 58.13/9.60 spl5880_129),
% 58.13/9.60 inference(avatar_split_clause,[],[f49405,f79088])).
% 58.13/9.60 tff(f79088,plain,(
% 58.13/9.60 spl5880_129 <=> field(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_129])])).
% 58.13/9.60 tff(f49405,plain,(
% 58.13/9.60 field(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9633])).
% 58.13/9.60 tff(f9633,axiom,(
% 58.13/9.60 field(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield_424)).
% 58.13/9.60 tff(f79086,plain,(
% 58.13/9.60 spl5880_128),
% 58.13/9.60 inference(avatar_split_clause,[],[f49404,f79083])).
% 58.13/9.60 tff(f79083,plain,(
% 58.13/9.60 spl5880_128 <=> field(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_128])])).
% 58.13/9.60 tff(f49404,plain,(
% 58.13/9.60 field(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9373])).
% 58.13/9.60 tff(f9373,axiom,(
% 58.13/9.60 field(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield)).
% 58.13/9.60 tff(f79081,plain,(
% 58.13/9.60 spl5880_127),
% 58.13/9.60 inference(avatar_split_clause,[],[f49403,f79078])).
% 58.13/9.60 tff(f79078,plain,(
% 58.13/9.60 spl5880_127 <=> bit_un5681908812861735899ations(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_127])])).
% 58.13/9.60 tff(f49403,plain,(
% 58.13/9.60 bit_un5681908812861735899ations(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9188])).
% 58.13/9.60 tff(f9188,axiom,(
% 58.13/9.60 bit_un5681908812861735899ations(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_17)).
% 58.13/9.60 tff(f79076,plain,(
% 58.13/9.60 spl5880_126),
% 58.13/9.60 inference(avatar_split_clause,[],[f49402,f79073])).
% 58.13/9.60 tff(f79073,plain,(
% 58.13/9.60 spl5880_126 <=> bit_un5681908812861735899ations(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_126])])).
% 58.13/9.60 tff(f49402,plain,(
% 58.13/9.60 bit_un5681908812861735899ations(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9069])).
% 58.13/9.60 tff(f9069,axiom,(
% 58.13/9.60 bit_un5681908812861735899ations(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations)).
% 58.13/9.60 tff(f79071,plain,(
% 58.13/9.60 spl5880_125),
% 58.13/9.60 inference(avatar_split_clause,[],[f49401,f79068])).
% 58.13/9.60 tff(f79068,plain,(
% 58.13/9.60 spl5880_125 <=> bit_un5681908812861735899ations(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_125])])).
% 58.13/9.60 tff(f49401,plain,(
% 58.13/9.60 bit_un5681908812861735899ations(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9720])).
% 58.13/9.60 tff(f9720,axiom,(
% 58.13/9.60 bit_un5681908812861735899ations(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_510)).
% 58.13/9.60 tff(f79066,plain,(
% 58.13/9.60 spl5880_124),
% 58.13/9.60 inference(avatar_split_clause,[],[f49400,f79063])).
% 58.13/9.60 tff(f79063,plain,(
% 58.13/9.60 spl5880_124 <=> algebraic_semidom(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_124])])).
% 58.13/9.60 tff(f49400,plain,(
% 58.13/9.60 algebraic_semidom(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9236])).
% 58.13/9.60 tff(f9236,axiom,(
% 58.13/9.60 algebraic_semidom(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oalgebraic__semidom_63)).
% 58.13/9.60 tff(f79061,plain,(
% 58.13/9.60 spl5880_123),
% 58.13/9.60 inference(avatar_split_clause,[],[f49399,f79058])).
% 58.13/9.60 tff(f79058,plain,(
% 58.13/9.60 spl5880_123 <=> algebraic_semidom(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_123])])).
% 58.13/9.60 tff(f49399,plain,(
% 58.13/9.60 algebraic_semidom(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9126])).
% 58.13/9.60 tff(f9126,axiom,(
% 58.13/9.60 algebraic_semidom(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oalgebraic__semidom)).
% 58.13/9.60 tff(f79056,plain,(
% 58.13/9.60 spl5880_122),
% 58.13/9.60 inference(avatar_split_clause,[],[f49398,f79053])).
% 58.13/9.60 tff(f79053,plain,(
% 58.13/9.60 spl5880_122 <=> algebraic_semidom(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_122])])).
% 58.13/9.60 tff(f49398,plain,(
% 58.13/9.60 algebraic_semidom(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9765])).
% 58.13/9.60 tff(f9765,axiom,(
% 58.13/9.60 algebraic_semidom(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oalgebraic__semidom_555)).
% 58.13/9.60 tff(f79051,plain,(
% 58.13/9.60 spl5880_121),
% 58.13/9.60 inference(avatar_split_clause,[],[f49397,f79048])).
% 58.13/9.60 tff(f79048,plain,(
% 58.13/9.60 spl5880_121 <=> unique1627219031080169319umeral(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_121])])).
% 58.13/9.60 tff(f49397,plain,(
% 58.13/9.60 unique1627219031080169319umeral(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9194])).
% 58.13/9.60 tff(f9194,axiom,(
% 58.13/9.60 unique1627219031080169319umeral(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Divides_Ounique__euclidean__semiring__numeral_23)).
% 58.13/9.60 tff(f79046,plain,(
% 58.13/9.60 spl5880_120),
% 58.13/9.60 inference(avatar_split_clause,[],[f49396,f79043])).
% 58.13/9.60 tff(f79043,plain,(
% 58.13/9.60 spl5880_120 <=> unique1627219031080169319umeral(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_120])])).
% 58.13/9.60 tff(f49396,plain,(
% 58.13/9.60 unique1627219031080169319umeral(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9076])).
% 58.13/9.60 tff(f9076,axiom,(
% 58.13/9.60 unique1627219031080169319umeral(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Divides_Ounique__euclidean__semiring__numeral)).
% 58.13/9.60 tff(f79041,plain,(
% 58.13/9.60 spl5880_119),
% 58.13/9.60 inference(avatar_split_clause,[],[f49395,f79038])).
% 58.13/9.60 tff(f79038,plain,(
% 58.13/9.60 spl5880_119 <=> unique1627219031080169319umeral(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_119])])).
% 58.13/9.60 tff(f49395,plain,(
% 58.13/9.60 unique1627219031080169319umeral(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9727])).
% 58.13/9.60 tff(f9727,axiom,(
% 58.13/9.60 unique1627219031080169319umeral(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Divides_Ounique__euclidean__semiring__numeral_517)).
% 58.13/9.60 tff(f79036,plain,(
% 58.13/9.60 spl5880_118),
% 58.13/9.60 inference(avatar_split_clause,[],[f49394,f79033])).
% 58.13/9.60 tff(f79033,plain,(
% 58.13/9.60 spl5880_118 <=> euclid4440199948858584721cancel(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_118])])).
% 58.13/9.60 tff(f49394,plain,(
% 58.13/9.60 euclid4440199948858584721cancel(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9193])).
% 58.13/9.60 tff(f9193,axiom,(
% 58.13/9.60 euclid4440199948858584721cancel(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring__cancel_22)).
% 58.13/9.60 tff(f79031,plain,(
% 58.13/9.60 spl5880_117),
% 58.13/9.60 inference(avatar_split_clause,[],[f49393,f79028])).
% 58.13/9.60 tff(f79028,plain,(
% 58.13/9.60 spl5880_117 <=> euclid4440199948858584721cancel(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_117])])).
% 58.13/9.60 tff(f49393,plain,(
% 58.13/9.60 euclid4440199948858584721cancel(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9075])).
% 58.13/9.60 tff(f9075,axiom,(
% 58.13/9.60 euclid4440199948858584721cancel(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring__cancel)).
% 58.13/9.60 tff(f79026,plain,(
% 58.13/9.60 spl5880_116),
% 58.13/9.60 inference(avatar_split_clause,[],[f49392,f79023])).
% 58.13/9.60 tff(f79023,plain,(
% 58.13/9.60 spl5880_116 <=> euclid4440199948858584721cancel(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_116])])).
% 58.13/9.60 tff(f49392,plain,(
% 58.13/9.60 euclid4440199948858584721cancel(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9726])).
% 58.13/9.60 tff(f9726,axiom,(
% 58.13/9.60 euclid4440199948858584721cancel(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring__cancel_516)).
% 58.13/9.60 tff(f79021,plain,(
% 58.13/9.60 spl5880_115),
% 58.13/9.60 inference(avatar_split_clause,[],[f49391,f79018])).
% 58.13/9.60 tff(f49391,plain,(
% 58.13/9.60 bit_semiring_bits(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9225])).
% 58.13/9.60 tff(f9225,axiom,(
% 58.13/9.60 bit_semiring_bits(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bits_52)).
% 58.13/9.60 tff(f79016,plain,(
% 58.13/9.60 spl5880_114),
% 58.13/9.60 inference(avatar_split_clause,[],[f49390,f79013])).
% 58.13/9.60 tff(f49390,plain,(
% 58.13/9.60 bit_semiring_bits(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9113])).
% 58.13/9.60 tff(f9113,axiom,(
% 58.13/9.60 bit_semiring_bits(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bits)).
% 58.13/9.60 tff(f79011,plain,(
% 58.13/9.60 spl5880_113),
% 58.13/9.60 inference(avatar_split_clause,[],[f49389,f79008])).
% 58.13/9.60 tff(f49389,plain,(
% 58.13/9.60 bit_semiring_bits(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9755])).
% 58.13/9.60 tff(f9755,axiom,(
% 58.13/9.60 bit_semiring_bits(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bits_545)).
% 58.13/9.60 tff(f79006,plain,(
% 58.13/9.60 spl5880_112),
% 58.13/9.60 inference(avatar_split_clause,[],[f49388,f79003])).
% 58.13/9.60 tff(f79003,plain,(
% 58.13/9.60 spl5880_112 <=> semiring_parity(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_112])])).
% 58.13/9.60 tff(f49388,plain,(
% 58.13/9.60 semiring_parity(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9241])).
% 58.13/9.60 tff(f9241,axiom,(
% 58.13/9.60 semiring_parity(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Parity_Osemiring__parity_67)).
% 58.13/9.60 tff(f79001,plain,(
% 58.13/9.60 spl5880_111),
% 58.13/9.60 inference(avatar_split_clause,[],[f49387,f78998])).
% 58.13/9.60 tff(f78998,plain,(
% 58.13/9.60 spl5880_111 <=> semiring_parity(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_111])])).
% 58.13/9.60 tff(f49387,plain,(
% 58.13/9.60 semiring_parity(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9131])).
% 58.13/9.60 tff(f9131,axiom,(
% 58.13/9.60 semiring_parity(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Osemiring__parity)).
% 58.13/9.60 tff(f78996,plain,(
% 58.13/9.60 spl5880_110),
% 58.13/9.60 inference(avatar_split_clause,[],[f49386,f78993])).
% 58.13/9.60 tff(f78993,plain,(
% 58.13/9.60 spl5880_110 <=> semiring_parity(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_110])])).
% 58.13/9.60 tff(f49386,plain,(
% 58.13/9.60 semiring_parity(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9770])).
% 58.13/9.60 tff(f9770,axiom,(
% 58.13/9.60 semiring_parity(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Osemiring__parity_560)).
% 58.13/9.60 tff(f78991,plain,(
% 58.13/9.60 spl5880_109),
% 58.13/9.60 inference(avatar_split_clause,[],[f49385,f78988])).
% 58.13/9.60 tff(f78988,plain,(
% 58.13/9.60 spl5880_109 <=> euclid5411537665997757685th_nat(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_109])])).
% 58.13/9.60 tff(f49385,plain,(
% 58.13/9.60 euclid5411537665997757685th_nat(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9190])).
% 58.13/9.60 tff(f9190,axiom,(
% 58.13/9.60 euclid5411537665997757685th_nat(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring__with__nat_19)).
% 58.13/9.60 tff(f78986,plain,(
% 58.13/9.60 spl5880_108),
% 58.13/9.60 inference(avatar_split_clause,[],[f49384,f78983])).
% 58.13/9.60 tff(f78983,plain,(
% 58.13/9.60 spl5880_108 <=> euclid5411537665997757685th_nat(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_108])])).
% 58.13/9.60 tff(f49384,plain,(
% 58.13/9.60 euclid5411537665997757685th_nat(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9071])).
% 58.13/9.60 tff(f9071,axiom,(
% 58.13/9.60 euclid5411537665997757685th_nat(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring__with__nat)).
% 58.13/9.60 tff(f78981,plain,(
% 58.13/9.60 spl5880_107),
% 58.13/9.60 inference(avatar_split_clause,[],[f49383,f78978])).
% 58.13/9.60 tff(f78978,plain,(
% 58.13/9.60 spl5880_107 <=> euclid5411537665997757685th_nat(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_107])])).
% 58.13/9.60 tff(f49383,plain,(
% 58.13/9.60 euclid5411537665997757685th_nat(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9722])).
% 58.13/9.60 tff(f9722,axiom,(
% 58.13/9.60 euclid5411537665997757685th_nat(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring__with__nat_512)).
% 58.13/9.60 tff(f78976,plain,(
% 58.13/9.60 spl5880_106),
% 58.13/9.60 inference(avatar_split_clause,[],[f49382,f78973])).
% 58.13/9.60 tff(f78973,plain,(
% 58.13/9.60 spl5880_106 <=> semidom_modulo(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_106])])).
% 58.13/9.60 tff(f49382,plain,(
% 58.13/9.60 semidom_modulo(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9247])).
% 58.13/9.60 tff(f9247,axiom,(
% 58.13/9.60 semidom_modulo(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__modulo_73)).
% 58.13/9.60 tff(f78971,plain,(
% 58.13/9.60 spl5880_105),
% 58.13/9.60 inference(avatar_split_clause,[],[f49381,f78968])).
% 58.13/9.60 tff(f78968,plain,(
% 58.13/9.60 spl5880_105 <=> semidom_modulo(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_105])])).
% 58.13/9.60 tff(f49381,plain,(
% 58.13/9.60 semidom_modulo(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9139])).
% 58.13/9.60 tff(f9139,axiom,(
% 58.13/9.60 semidom_modulo(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__modulo)).
% 58.13/9.60 tff(f78966,plain,(
% 58.13/9.60 spl5880_104),
% 58.13/9.60 inference(avatar_split_clause,[],[f49380,f78963])).
% 58.13/9.60 tff(f78963,plain,(
% 58.13/9.60 spl5880_104 <=> semidom_modulo(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_104])])).
% 58.13/9.60 tff(f49380,plain,(
% 58.13/9.60 semidom_modulo(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9778])).
% 58.13/9.60 tff(f9778,axiom,(
% 58.13/9.60 semidom_modulo(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__modulo_568)).
% 58.13/9.60 tff(f78961,plain,(
% 58.13/9.60 spl5880_103),
% 58.13/9.60 inference(avatar_split_clause,[],[f49379,f78958])).
% 58.13/9.60 tff(f78958,plain,(
% 58.13/9.60 spl5880_103 <=> semiring_modulo(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_103])])).
% 58.13/9.60 tff(f49379,plain,(
% 58.13/9.60 semiring_modulo(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9243])).
% 58.13/9.60 tff(f9243,axiom,(
% 58.13/9.60 semiring_modulo(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__modulo_69)).
% 58.13/9.60 tff(f78956,plain,(
% 58.13/9.60 spl5880_102),
% 58.13/9.60 inference(avatar_split_clause,[],[f49378,f78953])).
% 58.13/9.60 tff(f78953,plain,(
% 58.13/9.60 spl5880_102 <=> semiring_modulo(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_102])])).
% 58.13/9.60 tff(f49378,plain,(
% 58.13/9.60 semiring_modulo(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9133])).
% 58.13/9.60 tff(f9133,axiom,(
% 58.13/9.60 semiring_modulo(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__modulo)).
% 58.13/9.60 tff(f78951,plain,(
% 58.13/9.60 spl5880_101),
% 58.13/9.60 inference(avatar_split_clause,[],[f49377,f78948])).
% 58.13/9.60 tff(f78948,plain,(
% 58.13/9.60 spl5880_101 <=> semiring_modulo(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_101])])).
% 58.13/9.60 tff(f49377,plain,(
% 58.13/9.60 semiring_modulo(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9772])).
% 58.13/9.60 tff(f9772,axiom,(
% 58.13/9.60 semiring_modulo(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__modulo_562)).
% 58.13/9.60 tff(f78946,plain,(
% 58.13/9.60 spl5880_100),
% 58.13/9.60 inference(avatar_split_clause,[],[f49376,f78943])).
% 58.13/9.60 tff(f78943,plain,(
% 58.13/9.60 spl5880_100 <=> inverse(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_100])])).
% 58.13/9.60 tff(f49376,plain,(
% 58.13/9.60 inverse(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9535])).
% 58.13/9.60 tff(f9535,axiom,(
% 58.13/9.60 inverse(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Oinverse_326)).
% 58.13/9.60 tff(f78941,plain,(
% 58.13/9.60 spl5880_99),
% 58.13/9.60 inference(avatar_split_clause,[],[f49375,f78938])).
% 58.13/9.60 tff(f78938,plain,(
% 58.13/9.60 spl5880_99 <=> no_bot(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_99])])).
% 58.13/9.60 tff(f49375,plain,(
% 58.13/9.60 no_bot(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9526])).
% 58.13/9.60 tff(f9526,axiom,(
% 58.13/9.60 no_bot(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__bot_317)).
% 58.13/9.60 tff(f78936,plain,(
% 58.13/9.60 spl5880_98),
% 58.13/9.60 inference(avatar_split_clause,[],[f49374,f78933])).
% 58.13/9.60 tff(f78933,plain,(
% 58.13/9.60 spl5880_98 <=> no_bot(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_98])])).
% 58.13/9.60 tff(f49374,plain,(
% 58.13/9.60 no_bot(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9161])).
% 58.13/9.60 tff(f9161,axiom,(
% 58.13/9.60 no_bot(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__bot)).
% 58.13/9.60 tff(f78931,plain,(
% 58.13/9.60 spl5880_97),
% 58.13/9.60 inference(avatar_split_clause,[],[f49373,f78928])).
% 58.13/9.60 tff(f78928,plain,(
% 58.13/9.60 spl5880_97 <=> inverse(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_97])])).
% 58.13/9.60 tff(f49373,plain,(
% 58.13/9.60 inverse(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9629])).
% 58.13/9.60 tff(f9629,axiom,(
% 58.13/9.60 inverse(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Oinverse_420)).
% 58.13/9.60 tff(f78926,plain,(
% 58.13/9.60 spl5880_96),
% 58.13/9.60 inference(avatar_split_clause,[],[f49372,f78923])).
% 58.13/9.60 tff(f78923,plain,(
% 58.13/9.60 spl5880_96 <=> inverse(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_96])])).
% 58.13/9.60 tff(f49372,plain,(
% 58.13/9.60 inverse(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9367])).
% 58.13/9.60 tff(f9367,axiom,(
% 58.13/9.60 inverse(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Oinverse)).
% 58.13/9.60 tff(f78921,plain,(
% 58.13/9.60 spl5880_95),
% 58.13/9.60 inference(avatar_split_clause,[],[f49371,f78918])).
% 58.13/9.60 tff(f78918,plain,(
% 58.13/9.60 spl5880_95 <=> no_bot(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_95])])).
% 58.13/9.60 tff(f49371,plain,(
% 58.13/9.60 no_bot(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9358])).
% 58.13/9.60 tff(f9358,axiom,(
% 58.13/9.60 no_bot(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__bot_173)).
% 58.13/9.60 tff(f78916,plain,(
% 58.13/9.60 spl5880_94),
% 58.13/9.60 inference(avatar_split_clause,[],[f49370,f78913])).
% 58.13/9.60 tff(f78913,plain,(
% 58.13/9.60 spl5880_94 <=> wellorder(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_94])])).
% 58.13/9.60 tff(f49370,plain,(
% 58.13/9.60 wellorder(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9253])).
% 58.13/9.60 tff(f9253,axiom,(
% 58.13/9.60 wellorder(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Owellorder)).
% 58.13/9.60 tff(f78911,plain,(
% 58.13/9.60 spl5880_93),
% 58.13/9.60 inference(avatar_split_clause,[],[f49369,f78908])).
% 58.13/9.60 tff(f78908,plain,(
% 58.13/9.60 spl5880_93 <=> field_abs_sgn(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_93])])).
% 58.13/9.60 tff(f49369,plain,(
% 58.13/9.60 field_abs_sgn(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9506])).
% 58.13/9.60 tff(f9506,axiom,(
% 58.13/9.60 field_abs_sgn(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__abs__sgn_298)).
% 58.13/9.60 tff(f78906,plain,(
% 58.13/9.60 spl5880_92),
% 58.13/9.60 inference(avatar_split_clause,[],[f49368,f78903])).
% 58.13/9.60 tff(f78903,plain,(
% 58.13/9.60 spl5880_92 <=> field_abs_sgn(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_92])])).
% 58.13/9.60 tff(f49368,plain,(
% 58.13/9.60 field_abs_sgn(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9609])).
% 58.13/9.60 tff(f9609,axiom,(
% 58.13/9.60 field_abs_sgn(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__abs__sgn_400)).
% 58.13/9.60 tff(f78901,plain,(
% 58.13/9.60 spl5880_91),
% 58.13/9.60 inference(avatar_split_clause,[],[f49367,f78898])).
% 58.13/9.60 tff(f78898,plain,(
% 58.13/9.60 spl5880_91 <=> field_abs_sgn(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_91])])).
% 58.13/9.60 tff(f49367,plain,(
% 58.13/9.60 field_abs_sgn(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9339])).
% 58.13/9.60 tff(f9339,axiom,(
% 58.13/9.60 field_abs_sgn(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__abs__sgn)).
% 58.13/9.60 tff(f78896,plain,(
% 58.13/9.60 spl5880_90),
% 58.13/9.60 inference(avatar_split_clause,[],[f49366,f78893])).
% 58.13/9.60 tff(f78893,plain,(
% 58.13/9.60 spl5880_90 <=> wellorder(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_90])])).
% 58.13/9.60 tff(f49366,plain,(
% 58.13/9.60 wellorder(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9673])).
% 58.13/9.60 tff(f9673,axiom,(
% 58.13/9.60 wellorder(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Owellorder_463)).
% 58.13/9.60 tff(f78891,plain,(
% 58.13/9.60 spl5880_89),
% 58.13/9.60 inference(avatar_split_clause,[],[f49365,f78888])).
% 58.13/9.60 tff(f78888,plain,(
% 58.13/9.60 spl5880_89 <=> wellorder(product_unit)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_89])])).
% 58.13/9.60 tff(f49365,plain,(
% 58.13/9.60 wellorder(product_unit)),
% 58.13/9.60 inference(cnf_transformation,[],[f9710])).
% 58.13/9.60 tff(f9710,axiom,(
% 58.13/9.60 wellorder(product_unit)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Owellorder_500)).
% 58.13/9.60 tff(f78886,plain,(
% 58.13/9.60 spl5880_88),
% 58.13/9.60 inference(avatar_split_clause,[],[f49364,f78883])).
% 58.13/9.60 tff(f78883,plain,(
% 58.13/9.60 spl5880_88 <=> euclid3128863361964157862miring(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_88])])).
% 58.13/9.60 tff(f49364,plain,(
% 58.13/9.60 euclid3128863361964157862miring(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9192])).
% 58.13/9.60 tff(f9192,axiom,(
% 58.13/9.60 euclid3128863361964157862miring(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring_21)).
% 58.13/9.60 tff(f78881,plain,(
% 58.13/9.60 spl5880_87),
% 58.13/9.60 inference(avatar_split_clause,[],[f49363,f78878])).
% 58.13/9.60 tff(f78878,plain,(
% 58.13/9.60 spl5880_87 <=> euclid3725896446679973847miring(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_87])])).
% 58.13/9.60 tff(f49363,plain,(
% 58.13/9.60 euclid3725896446679973847miring(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9205])).
% 58.13/9.60 tff(f9205,axiom,(
% 58.13/9.60 euclid3725896446679973847miring(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring_32)).
% 58.13/9.60 tff(f78876,plain,(
% 58.13/9.60 spl5880_86),
% 58.13/9.60 inference(avatar_split_clause,[],[f49362,f78873])).
% 58.13/9.60 tff(f78873,plain,(
% 58.13/9.60 spl5880_86 <=> euclid3128863361964157862miring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_86])])).
% 58.13/9.60 tff(f49362,plain,(
% 58.13/9.60 euclid3128863361964157862miring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9074])).
% 58.13/9.60 tff(f9074,axiom,(
% 58.13/9.60 euclid3128863361964157862miring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring)).
% 58.13/9.60 tff(f78871,plain,(
% 58.13/9.60 spl5880_85),
% 58.13/9.60 inference(avatar_split_clause,[],[f49361,f78868])).
% 58.13/9.60 tff(f78868,plain,(
% 58.13/9.60 spl5880_85 <=> euclid3725896446679973847miring(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_85])])).
% 58.13/9.60 tff(f49361,plain,(
% 58.13/9.60 euclid3725896446679973847miring(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9086])).
% 58.13/9.60 tff(f9086,axiom,(
% 58.13/9.60 euclid3725896446679973847miring(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring)).
% 58.13/9.60 tff(f78866,plain,(
% 58.13/9.60 spl5880_84),
% 58.13/9.60 inference(avatar_split_clause,[],[f49360,f78863])).
% 58.13/9.60 tff(f78863,plain,(
% 58.13/9.60 spl5880_84 <=> euclid3725896446679973847miring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_84])])).
% 58.13/9.60 tff(f49360,plain,(
% 58.13/9.60 euclid3725896446679973847miring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9737])).
% 58.13/9.60 tff(f9737,axiom,(
% 58.13/9.60 euclid3725896446679973847miring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring_527)).
% 58.13/9.60 tff(f78861,plain,(
% 58.13/9.60 spl5880_83),
% 58.13/9.60 inference(avatar_split_clause,[],[f49359,f78858])).
% 58.13/9.60 tff(f78858,plain,(
% 58.13/9.60 spl5880_83 <=> euclid3128863361964157862miring(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_83])])).
% 58.13/9.60 tff(f49359,plain,(
% 58.13/9.60 euclid3128863361964157862miring(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9725])).
% 58.13/9.60 tff(f9725,axiom,(
% 58.13/9.60 euclid3128863361964157862miring(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring_515)).
% 58.13/9.60 tff(f78856,plain,(
% 58.13/9.60 spl5880_82),
% 58.13/9.60 inference(avatar_split_clause,[],[f49358,f78853])).
% 58.13/9.60 tff(f49358,plain,(
% 58.13/9.60 real_V822414075346904944vector(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9438])).
% 58.13/9.60 tff(f9438,axiom,(
% 58.13/9.60 real_V822414075346904944vector(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__vector)).
% 58.13/9.60 tff(f78851,plain,(
% 58.13/9.60 spl5880_81),
% 58.13/9.60 inference(avatar_split_clause,[],[f49357,f78848])).
% 58.13/9.60 tff(f49357,plain,(
% 58.13/9.60 real_V822414075346904944vector(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9572])).
% 58.13/9.60 tff(f9572,axiom,(
% 58.13/9.60 real_V822414075346904944vector(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__vector_363)).
% 58.13/9.60 tff(f78846,plain,(
% 58.13/9.60 spl5880_80),
% 58.13/9.60 inference(avatar_split_clause,[],[f49356,f78843])).
% 58.13/9.60 tff(f78843,plain,(
% 58.13/9.60 spl5880_80 <=> real_V3459762299906320749_field(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_80])])).
% 58.13/9.60 tff(f49356,plain,(
% 58.13/9.60 real_V3459762299906320749_field(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9443])).
% 58.13/9.60 tff(f9443,axiom,(
% 58.13/9.60 real_V3459762299906320749_field(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__field)).
% 58.13/9.60 tff(f78841,plain,(
% 58.13/9.60 spl5880_79),
% 58.13/9.60 inference(avatar_split_clause,[],[f49355,f78838])).
% 58.13/9.60 tff(f78838,plain,(
% 58.13/9.60 spl5880_79 <=> real_V3459762299906320749_field(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_79])])).
% 58.13/9.60 tff(f49355,plain,(
% 58.13/9.60 real_V3459762299906320749_field(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9574])).
% 58.13/9.60 tff(f9574,axiom,(
% 58.13/9.60 real_V3459762299906320749_field(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__field_365)).
% 58.13/9.60 tff(f78836,plain,(
% 58.13/9.60 spl5880_78),
% 58.13/9.60 inference(avatar_split_clause,[],[f49354,f78833])).
% 58.13/9.60 tff(f78833,plain,(
% 58.13/9.60 spl5880_78 <=> real_Vector_banach(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_78])])).
% 58.13/9.60 tff(f49354,plain,(
% 58.13/9.60 real_Vector_banach(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9483])).
% 58.13/9.60 tff(f9483,axiom,(
% 58.13/9.60 real_Vector_banach(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Obanach)).
% 58.13/9.60 tff(f78831,plain,(
% 58.13/9.60 spl5880_77),
% 58.13/9.60 inference(avatar_split_clause,[],[f49353,f78828])).
% 58.13/9.60 tff(f78828,plain,(
% 58.13/9.60 spl5880_77 <=> real_Vector_banach(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_77])])).
% 58.13/9.60 tff(f49353,plain,(
% 58.13/9.60 real_Vector_banach(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9597])).
% 58.13/9.60 tff(f9597,axiom,(
% 58.13/9.60 real_Vector_banach(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Obanach_388)).
% 58.13/9.60 tff(f78826,plain,(
% 58.13/9.60 spl5880_76),
% 58.13/9.60 inference(avatar_split_clause,[],[f49352,f78823])).
% 58.13/9.60 tff(f49352,plain,(
% 58.13/9.60 linordered_field(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9493])).
% 58.13/9.60 tff(f9493,axiom,(
% 58.13/9.60 linordered_field(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Olinordered__field_285)).
% 58.13/9.60 tff(f78821,plain,(
% 58.13/9.60 spl5880_75),
% 58.13/9.60 inference(avatar_split_clause,[],[f49351,f78818])).
% 58.13/9.60 tff(f49351,plain,(
% 58.13/9.60 linordered_field(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9326])).
% 58.13/9.60 tff(f9326,axiom,(
% 58.13/9.60 linordered_field(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Olinordered__field)).
% 58.13/9.60 tff(f78816,plain,(
% 58.13/9.60 spl5880_74),
% 58.13/9.60 inference(avatar_split_clause,[],[f49350,f78813])).
% 58.13/9.60 tff(f78813,plain,(
% 58.13/9.60 spl5880_74 <=> archim2362893244070406136eiling(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_74])])).
% 58.13/9.60 tff(f49350,plain,(
% 58.13/9.60 archim2362893244070406136eiling(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9464])).
% 58.13/9.60 tff(f9464,axiom,(
% 58.13/9.60 archim2362893244070406136eiling(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Ofloor__ceiling_261)).
% 58.13/9.60 tff(f78811,plain,(
% 58.13/9.60 spl5880_73),
% 58.13/9.60 inference(avatar_split_clause,[],[f49349,f78808])).
% 58.13/9.60 tff(f78808,plain,(
% 58.13/9.60 spl5880_73 <=> archim2362893244070406136eiling(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_73])])).
% 58.13/9.60 tff(f49349,plain,(
% 58.13/9.60 archim2362893244070406136eiling(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9304])).
% 58.13/9.60 tff(f9304,axiom,(
% 58.13/9.60 archim2362893244070406136eiling(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Ofloor__ceiling)).
% 58.13/9.60 tff(f78806,plain,(
% 58.13/9.60 spl5880_72),
% 58.13/9.60 inference(avatar_split_clause,[],[f49348,f78803])).
% 58.13/9.60 tff(f78803,plain,(
% 58.13/9.60 spl5880_72 <=> bit_ri3973907225187159222ations(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_72])])).
% 58.13/9.60 tff(f49348,plain,(
% 58.13/9.60 bit_ri3973907225187159222ations(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9093])).
% 58.13/9.60 tff(f9093,axiom,(
% 58.13/9.60 bit_ri3973907225187159222ations(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Oring__bit__operations)).
% 58.13/9.60 tff(f78801,plain,(
% 58.13/9.60 spl5880_71),
% 58.13/9.60 inference(avatar_split_clause,[],[f49347,f78798])).
% 58.13/9.60 tff(f78798,plain,(
% 58.13/9.60 spl5880_71 <=> bit_ri3973907225187159222ations(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_71])])).
% 58.13/9.60 tff(f49347,plain,(
% 58.13/9.60 bit_ri3973907225187159222ations(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9740])).
% 58.13/9.60 tff(f9740,axiom,(
% 58.13/9.60 bit_ri3973907225187159222ations(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Oring__bit__operations_530)).
% 58.13/9.60 tff(f78796,plain,(
% 58.13/9.60 spl5880_70),
% 58.13/9.60 inference(avatar_split_clause,[],[f49346,f78793])).
% 58.13/9.60 tff(f78793,plain,(
% 58.13/9.60 spl5880_70 <=> real_V2822296259951069270ebra_1(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_70])])).
% 58.13/9.60 tff(f49346,plain,(
% 58.13/9.60 real_V2822296259951069270ebra_1(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9430])).
% 58.13/9.60 tff(f9430,axiom,(
% 58.13/9.60 real_V2822296259951069270ebra_1(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1)).
% 58.13/9.60 tff(f78791,plain,(
% 58.13/9.60 spl5880_69),
% 58.13/9.60 inference(avatar_split_clause,[],[f49345,f78788])).
% 58.13/9.60 tff(f78788,plain,(
% 58.13/9.60 spl5880_69 <=> real_V2822296259951069270ebra_1(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_69])])).
% 58.13/9.60 tff(f49345,plain,(
% 58.13/9.60 real_V2822296259951069270ebra_1(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9569])).
% 58.13/9.60 tff(f9569,axiom,(
% 58.13/9.60 real_V2822296259951069270ebra_1(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra__1_360)).
% 58.13/9.60 tff(f78786,plain,(
% 58.13/9.60 spl5880_68),
% 58.13/9.60 inference(avatar_split_clause,[],[f49344,f78783])).
% 58.13/9.60 tff(f78783,plain,(
% 58.13/9.60 spl5880_68 <=> real_V8999393235501362500lgebra(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_68])])).
% 58.13/9.60 tff(f49344,plain,(
% 58.13/9.60 real_V8999393235501362500lgebra(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9429])).
% 58.13/9.60 tff(f9429,axiom,(
% 58.13/9.60 real_V8999393235501362500lgebra(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__div__algebra)).
% 58.13/9.60 tff(f78781,plain,(
% 58.13/9.60 spl5880_67),
% 58.13/9.60 inference(avatar_split_clause,[],[f49343,f78778])).
% 58.13/9.60 tff(f78778,plain,(
% 58.13/9.60 spl5880_67 <=> real_V4412858255891104859lgebra(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_67])])).
% 58.13/9.60 tff(f49343,plain,(
% 58.13/9.60 real_V4412858255891104859lgebra(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9432])).
% 58.13/9.60 tff(f9432,axiom,(
% 58.13/9.60 real_V4412858255891104859lgebra(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra)).
% 58.13/9.60 tff(f78776,plain,(
% 58.13/9.60 spl5880_66),
% 58.13/9.60 inference(avatar_split_clause,[],[f49342,f78773])).
% 58.13/9.60 tff(f78773,plain,(
% 58.13/9.60 spl5880_66 <=> real_V8999393235501362500lgebra(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_66])])).
% 58.13/9.60 tff(f49342,plain,(
% 58.13/9.60 real_V8999393235501362500lgebra(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9568])).
% 58.13/9.60 tff(f9568,axiom,(
% 58.13/9.60 real_V8999393235501362500lgebra(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__div__algebra_359)).
% 58.13/9.60 tff(f78771,plain,(
% 58.13/9.60 spl5880_65),
% 58.13/9.60 inference(avatar_split_clause,[],[f49341,f78768])).
% 58.13/9.60 tff(f78768,plain,(
% 58.13/9.60 spl5880_65 <=> real_V4412858255891104859lgebra(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_65])])).
% 58.13/9.60 tff(f49341,plain,(
% 58.13/9.60 real_V4412858255891104859lgebra(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9571])).
% 58.13/9.60 tff(f9571,axiom,(
% 58.13/9.60 real_V4412858255891104859lgebra(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra_362)).
% 58.13/9.60 tff(f78766,plain,(
% 58.13/9.60 spl5880_64),
% 58.13/9.60 inference(avatar_split_clause,[],[f49340,f78763])).
% 58.13/9.60 tff(f49340,plain,(
% 58.13/9.60 real_V7819770556892013058_space(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9460])).
% 58.13/9.60 tff(f9460,axiom,(
% 58.13/9.60 real_V7819770556892013058_space(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ometric__space)).
% 58.13/9.60 tff(f78761,plain,(
% 58.13/9.60 spl5880_63),
% 58.13/9.60 inference(avatar_split_clause,[],[f49339,f78758])).
% 58.13/9.60 tff(f49339,plain,(
% 58.13/9.60 real_V7819770556892013058_space(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9584])).
% 58.13/9.60 tff(f9584,axiom,(
% 58.13/9.60 real_V7819770556892013058_space(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ometric__space_375)).
% 58.13/9.60 tff(f78756,plain,(
% 58.13/9.60 spl5880_62),
% 58.13/9.60 inference(avatar_split_clause,[],[f49338,f78753])).
% 58.13/9.60 tff(f78753,plain,(
% 58.13/9.60 spl5880_62 <=> dense_linorder(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_62])])).
% 58.13/9.60 tff(f49338,plain,(
% 58.13/9.60 dense_linorder(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9486])).
% 58.13/9.60 tff(f9486,axiom,(
% 58.13/9.60 dense_linorder(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__linorder_278)).
% 58.13/9.60 tff(f78751,plain,(
% 58.13/9.60 spl5880_61),
% 58.13/9.60 inference(avatar_split_clause,[],[f49337,f78748])).
% 58.13/9.60 tff(f78748,plain,(
% 58.13/9.60 spl5880_61 <=> dense_linorder(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_61])])).
% 58.13/9.60 tff(f49337,plain,(
% 58.13/9.60 dense_linorder(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9319])).
% 58.13/9.60 tff(f9319,axiom,(
% 58.13/9.60 dense_linorder(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__linorder)).
% 58.13/9.60 tff(f78746,plain,(
% 58.13/9.60 spl5880_60),
% 58.13/9.60 inference(avatar_split_clause,[],[f49336,f78743])).
% 58.13/9.60 tff(f78743,plain,(
% 58.13/9.60 spl5880_60 <=> real_V4867850818363320053vector(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_60])])).
% 58.13/9.60 tff(f49336,plain,(
% 58.13/9.60 real_V4867850818363320053vector(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9465])).
% 58.13/9.60 tff(f9465,axiom,(
% 58.13/9.60 real_V4867850818363320053vector(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__vector)).
% 58.13/9.60 tff(f78741,plain,(
% 58.13/9.60 spl5880_59),
% 58.13/9.60 inference(avatar_split_clause,[],[f49335,f78738])).
% 58.13/9.60 tff(f78738,plain,(
% 58.13/9.60 spl5880_59 <=> real_V2191834092415804123ebra_1(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_59])])).
% 58.13/9.60 tff(f49335,plain,(
% 58.13/9.60 real_V2191834092415804123ebra_1(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9453])).
% 58.13/9.60 tff(f9453,axiom,(
% 58.13/9.60 real_V2191834092415804123ebra_1(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra__1)).
% 58.13/9.60 tff(f78736,plain,(
% 58.13/9.60 spl5880_58),
% 58.13/9.60 inference(avatar_split_clause,[],[f49334,f78733])).
% 58.13/9.60 tff(f78733,plain,(
% 58.13/9.60 spl5880_58 <=> real_V4867850818363320053vector(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_58])])).
% 58.13/9.60 tff(f49334,plain,(
% 58.13/9.60 real_V4867850818363320053vector(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9586])).
% 58.13/9.60 tff(f9586,axiom,(
% 58.13/9.60 real_V4867850818363320053vector(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__vector_377)).
% 58.13/9.60 tff(f78731,plain,(
% 58.13/9.60 spl5880_57),
% 58.13/9.60 inference(avatar_split_clause,[],[f49333,f78728])).
% 58.13/9.60 tff(f78728,plain,(
% 58.13/9.60 spl5880_57 <=> real_V2191834092415804123ebra_1(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_57])])).
% 58.13/9.60 tff(f49333,plain,(
% 58.13/9.60 real_V2191834092415804123ebra_1(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9578])).
% 58.13/9.60 tff(f9578,axiom,(
% 58.13/9.60 real_V2191834092415804123ebra_1(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra__1_369)).
% 58.13/9.60 tff(f78726,plain,(
% 58.13/9.60 spl5880_56),
% 58.13/9.60 inference(avatar_split_clause,[],[f49332,f78723])).
% 58.13/9.60 tff(f78723,plain,(
% 58.13/9.60 spl5880_56 <=> canoni5634975068530333245id_add(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_56])])).
% 58.13/9.60 tff(f49332,plain,(
% 58.13/9.60 canoni5634975068530333245id_add(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9204])).
% 58.13/9.60 tff(f9204,axiom,(
% 58.13/9.60 canoni5634975068530333245id_add(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocanonically__ordered__monoid__add)).
% 58.13/9.60 tff(f78721,plain,(
% 58.13/9.60 spl5880_55),
% 58.13/9.60 inference(avatar_split_clause,[],[f49331,f78718])).
% 58.13/9.60 tff(f78718,plain,(
% 58.13/9.60 spl5880_55 <=> canoni5634975068530333245id_add(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_55])])).
% 58.13/9.60 tff(f49331,plain,(
% 58.13/9.60 canoni5634975068530333245id_add(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9648])).
% 58.13/9.60 tff(f9648,axiom,(
% 58.13/9.60 canoni5634975068530333245id_add(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocanonically__ordered__monoid__add_439)).
% 58.13/9.60 tff(f78716,plain,(
% 58.13/9.60 spl5880_54),
% 58.13/9.60 inference(avatar_split_clause,[],[f49330,f78713])).
% 58.13/9.60 tff(f78713,plain,(
% 58.13/9.60 spl5880_54 <=> comple5582772986160207858norder(extended_enat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_54])])).
% 58.13/9.60 tff(f49330,plain,(
% 58.13/9.60 comple5582772986160207858norder(extended_enat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9651])).
% 58.13/9.60 tff(f9651,axiom,(
% 58.13/9.60 comple5582772986160207858norder(extended_enat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__linorder)).
% 58.13/9.60 tff(f78711,plain,(
% 58.13/9.60 spl5880_53),
% 58.13/9.60 inference(avatar_split_clause,[],[f49329,f78708])).
% 58.13/9.60 tff(f78708,plain,(
% 58.13/9.60 spl5880_53 <=> comple5582772986160207858norder(product_unit)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_53])])).
% 58.13/9.60 tff(f49329,plain,(
% 58.13/9.60 comple5582772986160207858norder(product_unit)),
% 58.13/9.60 inference(cnf_transformation,[],[f9705])).
% 58.13/9.60 tff(f9705,axiom,(
% 58.13/9.60 comple5582772986160207858norder(product_unit)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__linorder_495)).
% 58.13/9.60 tff(f78706,plain,(
% 58.13/9.60 spl5880_52),
% 58.13/9.60 inference(avatar_split_clause,[],[f49328,f78703])).
% 58.13/9.60 tff(f78703,plain,(
% 58.13/9.60 spl5880_52 <=> euclid8851590272496341667cancel(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_52])])).
% 58.13/9.60 tff(f49328,plain,(
% 58.13/9.60 euclid8851590272496341667cancel(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9077])).
% 58.13/9.60 tff(f9077,axiom,(
% 58.13/9.60 euclid8851590272496341667cancel(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring__cancel)).
% 58.13/9.60 tff(f78701,plain,(
% 58.13/9.60 spl5880_51),
% 58.13/9.60 inference(avatar_split_clause,[],[f49327,f78698])).
% 58.13/9.60 tff(f78698,plain,(
% 58.13/9.60 spl5880_51 <=> euclid8851590272496341667cancel(code_integer)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_51])])).
% 58.13/9.60 tff(f49327,plain,(
% 58.13/9.60 euclid8851590272496341667cancel(code_integer)),
% 58.13/9.60 inference(cnf_transformation,[],[f9728])).
% 58.13/9.60 tff(f9728,axiom,(
% 58.13/9.60 euclid8851590272496341667cancel(code_integer)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring__cancel_518)).
% 58.13/9.60 tff(f78696,plain,(
% 58.13/9.60 spl5880_50),
% 58.13/9.60 inference(avatar_split_clause,[],[f49326,f78693])).
% 58.13/9.60 tff(f78693,plain,(
% 58.13/9.60 spl5880_50 <=> semiring_gcd(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_50])])).
% 58.13/9.60 tff(f49326,plain,(
% 58.13/9.60 semiring_gcd(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9265])).
% 58.13/9.60 tff(f9265,axiom,(
% 58.13/9.60 semiring_gcd(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd_90)).
% 58.13/9.60 tff(f78691,plain,(
% 58.13/9.60 spl5880_49),
% 58.13/9.60 inference(avatar_split_clause,[],[f49325,f78688])).
% 58.13/9.60 tff(f78688,plain,(
% 58.13/9.60 spl5880_49 <=> semiring_gcd(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_49])])).
% 58.13/9.60 tff(f49325,plain,(
% 58.13/9.60 semiring_gcd(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9164])).
% 58.13/9.60 tff(f9164,axiom,(
% 58.13/9.60 semiring_gcd(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd)).
% 58.13/9.60 tff(f78686,plain,(
% 58.13/9.60 spl5880_48),
% 58.13/9.60 inference(avatar_split_clause,[],[f49324,f78683])).
% 58.13/9.60 tff(f78683,plain,(
% 58.13/9.60 spl5880_48 <=> topolo3112930676232923870pology(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_48])])).
% 58.13/9.60 tff(f49324,plain,(
% 58.13/9.60 topolo3112930676232923870pology(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9428])).
% 58.13/9.60 tff(f9428,axiom,(
% 58.13/9.60 topolo3112930676232923870pology(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ofirst__countable__topology)).
% 58.13/9.60 tff(f78681,plain,(
% 58.13/9.60 spl5880_47),
% 58.13/9.60 inference(avatar_split_clause,[],[f49323,f78678])).
% 58.13/9.60 tff(f78678,plain,(
% 58.13/9.60 spl5880_47 <=> topolo3112930676232923870pology(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_47])])).
% 58.13/9.60 tff(f49323,plain,(
% 58.13/9.60 topolo3112930676232923870pology(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9567])).
% 58.13/9.60 tff(f9567,axiom,(
% 58.13/9.60 topolo3112930676232923870pology(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ofirst__countable__topology_358)).
% 58.13/9.60 tff(f78676,plain,(
% 58.13/9.60 spl5880_46),
% 58.13/9.60 inference(avatar_split_clause,[],[f49322,f78673])).
% 58.13/9.60 tff(f78673,plain,(
% 58.13/9.60 spl5880_46 <=> archim462609752435547400_field(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_46])])).
% 58.13/9.60 tff(f49322,plain,(
% 58.13/9.60 archim462609752435547400_field(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9445])).
% 58.13/9.60 tff(f9445,axiom,(
% 58.13/9.60 archim462609752435547400_field(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Oarchimedean__field_248)).
% 58.13/9.60 tff(f78671,plain,(
% 58.13/9.60 spl5880_45),
% 58.13/9.60 inference(avatar_split_clause,[],[f49321,f78668])).
% 58.13/9.60 tff(f78668,plain,(
% 58.13/9.60 spl5880_45 <=> archim462609752435547400_field(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_45])])).
% 58.13/9.60 tff(f49321,plain,(
% 58.13/9.60 archim462609752435547400_field(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9294])).
% 58.13/9.60 tff(f9294,axiom,(
% 58.13/9.60 archim462609752435547400_field(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Oarchimedean__field)).
% 58.13/9.60 tff(f78666,plain,(
% 58.13/9.60 spl5880_44),
% 58.13/9.60 inference(avatar_split_clause,[],[f49320,f78663])).
% 58.13/9.60 tff(f78663,plain,(
% 58.13/9.60 spl5880_44 <=> topolo1633459387980952147up_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_44])])).
% 58.13/9.60 tff(f49320,plain,(
% 58.13/9.60 topolo1633459387980952147up_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9476])).
% 58.13/9.60 tff(f9476,axiom,(
% 58.13/9.60 topolo1633459387980952147up_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__group__add)).
% 58.13/9.60 tff(f78661,plain,(
% 58.13/9.60 spl5880_43),
% 58.13/9.60 inference(avatar_split_clause,[],[f49319,f78658])).
% 58.13/9.60 tff(f78658,plain,(
% 58.13/9.60 spl5880_43 <=> topolo1633459387980952147up_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_43])])).
% 58.13/9.60 tff(f49319,plain,(
% 58.13/9.60 topolo1633459387980952147up_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9594])).
% 58.13/9.60 tff(f9594,axiom,(
% 58.13/9.60 topolo1633459387980952147up_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__group__add_385)).
% 58.13/9.60 tff(f78656,plain,(
% 58.13/9.60 spl5880_42),
% 58.13/9.60 inference(avatar_split_clause,[],[f49318,f78653])).
% 58.13/9.60 tff(f78653,plain,(
% 58.13/9.60 spl5880_42 <=> topolo1898628316856586783d_mult(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_42])])).
% 58.13/9.60 tff(f49318,plain,(
% 58.13/9.60 topolo1898628316856586783d_mult(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9219])).
% 58.13/9.60 tff(f9219,axiom,(
% 58.13/9.60 topolo1898628316856586783d_mult(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__mult_46)).
% 58.13/9.60 tff(f78651,plain,(
% 58.13/9.60 spl5880_41),
% 58.13/9.60 inference(avatar_split_clause,[],[f49317,f78648])).
% 58.13/9.60 tff(f78648,plain,(
% 58.13/9.60 spl5880_41 <=> unboun7993243217541854897norder(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_41])])).
% 58.13/9.60 tff(f49317,plain,(
% 58.13/9.60 unboun7993243217541854897norder(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9447])).
% 58.13/9.60 tff(f9447,axiom,(
% 58.13/9.60 unboun7993243217541854897norder(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ounbounded__dense__linorder_250)).
% 58.13/9.60 tff(f78646,plain,(
% 58.13/9.60 spl5880_40),
% 58.13/9.60 inference(avatar_split_clause,[],[f49316,f78643])).
% 58.13/9.60 tff(f78643,plain,(
% 58.13/9.60 spl5880_40 <=> topolo1898628316856586783d_mult(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_40])])).
% 58.13/9.60 tff(f49316,plain,(
% 58.13/9.60 topolo1898628316856586783d_mult(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9104])).
% 58.13/9.60 tff(f9104,axiom,(
% 58.13/9.60 topolo1898628316856586783d_mult(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__mult)).
% 58.13/9.60 tff(f78641,plain,(
% 58.13/9.60 spl5880_39),
% 58.13/9.60 inference(avatar_split_clause,[],[f49315,f78638])).
% 58.13/9.60 tff(f78638,plain,(
% 58.13/9.60 spl5880_39 <=> unboun7993243217541854897norder(rat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_39])])).
% 58.13/9.60 tff(f49315,plain,(
% 58.13/9.60 unboun7993243217541854897norder(rat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9296])).
% 58.13/9.60 tff(f9296,axiom,(
% 58.13/9.60 unboun7993243217541854897norder(rat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ounbounded__dense__linorder)).
% 58.13/9.60 tff(f78636,plain,(
% 58.13/9.60 spl5880_38),
% 58.13/9.60 inference(avatar_split_clause,[],[f49314,f78633])).
% 58.13/9.60 tff(f78633,plain,(
% 58.13/9.60 spl5880_38 <=> real_V7773925162809079976_field(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_38])])).
% 58.13/9.60 tff(f49314,plain,(
% 58.13/9.60 real_V7773925162809079976_field(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9470])).
% 58.13/9.60 tff(f9470,axiom,(
% 58.13/9.60 real_V7773925162809079976_field(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__field)).
% 58.13/9.60 tff(f78631,plain,(
% 58.13/9.60 spl5880_37),
% 58.13/9.60 inference(avatar_split_clause,[],[f49313,f78628])).
% 58.13/9.60 tff(f78628,plain,(
% 58.13/9.60 spl5880_37 <=> real_V7773925162809079976_field(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_37])])).
% 58.13/9.60 tff(f49313,plain,(
% 58.13/9.60 real_V7773925162809079976_field(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9589])).
% 58.13/9.60 tff(f9589,axiom,(
% 58.13/9.60 real_V7773925162809079976_field(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__field_380)).
% 58.13/9.60 tff(f78626,plain,(
% 58.13/9.60 spl5880_36),
% 58.13/9.60 inference(avatar_split_clause,[],[f49312,f78623])).
% 58.13/9.60 tff(f78623,plain,(
% 58.13/9.60 spl5880_36 <=> semiring_Gcd(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_36])])).
% 58.13/9.60 tff(f49312,plain,(
% 58.13/9.60 semiring_Gcd(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9266])).
% 58.13/9.60 tff(f9266,axiom,(
% 58.13/9.60 semiring_Gcd(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__Gcd_91)).
% 58.13/9.60 tff(f78621,plain,(
% 58.13/9.60 spl5880_35),
% 58.13/9.60 inference(avatar_split_clause,[],[f49311,f78618])).
% 58.13/9.60 tff(f78618,plain,(
% 58.13/9.60 spl5880_35 <=> semiring_Gcd(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_35])])).
% 58.13/9.60 tff(f49311,plain,(
% 58.13/9.60 semiring_Gcd(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9165])).
% 58.13/9.60 tff(f9165,axiom,(
% 58.13/9.60 semiring_Gcd(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__Gcd)).
% 58.13/9.60 tff(f78616,plain,(
% 58.13/9.60 spl5880_34),
% 58.13/9.60 inference(avatar_split_clause,[],[f49310,f78613])).
% 58.13/9.60 tff(f78613,plain,(
% 58.13/9.60 spl5880_34 <=> topolo4987421752381908075d_mult(nat)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_34])])).
% 58.13/9.60 tff(f49310,plain,(
% 58.13/9.60 topolo4987421752381908075d_mult(nat)),
% 58.13/9.60 inference(cnf_transformation,[],[f9208])).
% 58.13/9.60 tff(f9208,axiom,(
% 58.13/9.60 topolo4987421752381908075d_mult(nat)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__mult_35)).
% 58.13/9.60 tff(f78611,plain,(
% 58.13/9.60 spl5880_33),
% 58.13/9.60 inference(avatar_split_clause,[],[f49309,f78608])).
% 58.13/9.60 tff(f78608,plain,(
% 58.13/9.60 spl5880_33 <=> real_V5047593784448816457lgebra(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_33])])).
% 58.13/9.60 tff(f49309,plain,(
% 58.13/9.60 real_V5047593784448816457lgebra(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9444])).
% 58.13/9.60 tff(f9444,axiom,(
% 58.13/9.60 real_V5047593784448816457lgebra(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__div__algebra)).
% 58.13/9.60 tff(f78606,plain,(
% 58.13/9.60 spl5880_32),
% 58.13/9.60 inference(avatar_split_clause,[],[f49308,f78603])).
% 58.13/9.60 tff(f78603,plain,(
% 58.13/9.60 spl5880_32 <=> topolo1287966508704411220up_add(real)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_32])])).
% 58.13/9.60 tff(f49308,plain,(
% 58.13/9.60 topolo1287966508704411220up_add(real)),
% 58.13/9.60 inference(cnf_transformation,[],[f9461])).
% 58.13/9.60 tff(f9461,axiom,(
% 58.13/9.60 topolo1287966508704411220up_add(real)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__ab__group__add)).
% 58.13/9.60 tff(f78601,plain,(
% 58.13/9.60 spl5880_31),
% 58.13/9.60 inference(avatar_split_clause,[],[f49307,f78598])).
% 58.13/9.60 tff(f78598,plain,(
% 58.13/9.60 spl5880_31 <=> topolo4987421752381908075d_mult(int)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_31])])).
% 58.13/9.60 tff(f49307,plain,(
% 58.13/9.60 topolo4987421752381908075d_mult(int)),
% 58.13/9.60 inference(cnf_transformation,[],[f9089])).
% 58.13/9.60 tff(f9089,axiom,(
% 58.13/9.60 topolo4987421752381908075d_mult(int)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__mult)).
% 58.13/9.60 tff(f78596,plain,(
% 58.13/9.60 spl5880_30),
% 58.13/9.60 inference(avatar_split_clause,[],[f49306,f78593])).
% 58.13/9.60 tff(f78593,plain,(
% 58.13/9.60 spl5880_30 <=> real_V5047593784448816457lgebra(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_30])])).
% 58.13/9.60 tff(f49306,plain,(
% 58.13/9.60 real_V5047593784448816457lgebra(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9575])).
% 58.13/9.60 tff(f9575,axiom,(
% 58.13/9.60 real_V5047593784448816457lgebra(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__div__algebra_366)).
% 58.13/9.60 tff(f78591,plain,(
% 58.13/9.60 spl5880_29),
% 58.13/9.60 inference(avatar_split_clause,[],[f49305,f78588])).
% 58.13/9.60 tff(f78588,plain,(
% 58.13/9.60 spl5880_29 <=> topolo1287966508704411220up_add(complex)),
% 58.13/9.60 introduced(avatar_definition,[new_symbols(naming,[spl5880_29])])).
% 58.13/9.60 tff(f49305,plain,(
% 58.13/9.60 topolo1287966508704411220up_add(complex)),
% 58.13/9.60 inference(cnf_transformation,[],[f9585])).
% 58.13/9.60 tff(f9585,axiom,(
% 58.13/9.60 topolo1287966508704411220up_add(complex)),
% 58.13/9.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__ab__group__add_376)).
% 58.13/9.61 tff(f78586,plain,(
% 58.13/9.61 spl5880_28),
% 58.13/9.61 inference(avatar_split_clause,[],[f49304,f78583])).
% 58.13/9.61 tff(f78583,plain,(
% 58.13/9.61 spl5880_28 <=> real_V8037385150606011577_space(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_28])])).
% 58.13/9.61 tff(f49304,plain,(
% 58.13/9.61 real_V8037385150606011577_space(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9454])).
% 58.13/9.61 tff(f9454,axiom,(
% 58.13/9.61 real_V8037385150606011577_space(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ocomplete__space)).
% 58.13/9.61 tff(f78581,plain,(
% 58.13/9.61 spl5880_27),
% 58.13/9.61 inference(avatar_split_clause,[],[f49303,f78578])).
% 58.13/9.61 tff(f78578,plain,(
% 58.13/9.61 spl5880_27 <=> real_V6157519004096292374lgebra(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_27])])).
% 58.13/9.61 tff(f49303,plain,(
% 58.13/9.61 real_V6157519004096292374lgebra(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9459])).
% 58.13/9.61 tff(f9459,axiom,(
% 58.13/9.61 real_V6157519004096292374lgebra(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra)).
% 58.13/9.61 tff(f78576,plain,(
% 58.13/9.61 spl5880_26),
% 58.13/9.61 inference(avatar_split_clause,[],[f49302,f78573])).
% 58.13/9.61 tff(f78573,plain,(
% 58.13/9.61 spl5880_26 <=> dense_order(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_26])])).
% 58.13/9.61 tff(f49302,plain,(
% 58.13/9.61 dense_order(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9501])).
% 58.13/9.61 tff(f9501,axiom,(
% 58.13/9.61 dense_order(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__order_293)).
% 58.13/9.61 tff(f78571,plain,(
% 58.13/9.61 spl5880_25),
% 58.13/9.61 inference(avatar_split_clause,[],[f49301,f78568])).
% 58.13/9.61 tff(f78568,plain,(
% 58.13/9.61 spl5880_25 <=> euclid8789492081693882211th_nat(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_25])])).
% 58.13/9.61 tff(f49301,plain,(
% 58.13/9.61 euclid8789492081693882211th_nat(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9072])).
% 58.13/9.61 tff(f9072,axiom,(
% 58.13/9.61 euclid8789492081693882211th_nat(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__ring__with__nat)).
% 58.13/9.61 tff(f78566,plain,(
% 58.13/9.61 spl5880_24),
% 58.13/9.61 inference(avatar_split_clause,[],[f49300,f78563])).
% 58.13/9.61 tff(f78563,plain,(
% 58.13/9.61 spl5880_24 <=> ring_parity(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_24])])).
% 58.13/9.61 tff(f49300,plain,(
% 58.13/9.61 ring_parity(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9150])).
% 58.13/9.61 tff(f9150,axiom,(
% 58.13/9.61 ring_parity(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Oring__parity)).
% 58.13/9.61 tff(f78561,plain,(
% 58.13/9.61 spl5880_23),
% 58.13/9.61 inference(avatar_split_clause,[],[f49299,f78558])).
% 58.13/9.61 tff(f78558,plain,(
% 58.13/9.61 spl5880_23 <=> real_V8037385150606011577_space(complex)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_23])])).
% 58.13/9.61 tff(f49299,plain,(
% 58.13/9.61 real_V8037385150606011577_space(complex)),
% 58.13/9.61 inference(cnf_transformation,[],[f9579])).
% 58.13/9.61 tff(f9579,axiom,(
% 58.13/9.61 real_V8037385150606011577_space(complex)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ocomplete__space_370)).
% 58.13/9.61 tff(f78556,plain,(
% 58.13/9.61 spl5880_22),
% 58.13/9.61 inference(avatar_split_clause,[],[f49298,f78553])).
% 58.13/9.61 tff(f78553,plain,(
% 58.13/9.61 spl5880_22 <=> real_V6157519004096292374lgebra(complex)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_22])])).
% 58.13/9.61 tff(f49298,plain,(
% 58.13/9.61 real_V6157519004096292374lgebra(complex)),
% 58.13/9.61 inference(cnf_transformation,[],[f9583])).
% 58.13/9.61 tff(f9583,axiom,(
% 58.13/9.61 real_V6157519004096292374lgebra(complex)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra_374)).
% 58.13/9.61 tff(f78551,plain,(
% 58.13/9.61 spl5880_21),
% 58.13/9.61 inference(avatar_split_clause,[],[f49297,f78548])).
% 58.13/9.61 tff(f78548,plain,(
% 58.13/9.61 spl5880_21 <=> euclid8789492081693882211th_nat(code_integer)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_21])])).
% 58.13/9.61 tff(f49297,plain,(
% 58.13/9.61 euclid8789492081693882211th_nat(code_integer)),
% 58.13/9.61 inference(cnf_transformation,[],[f9723])).
% 58.13/9.61 tff(f9723,axiom,(
% 58.13/9.61 euclid8789492081693882211th_nat(code_integer)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__ring__with__nat_513)).
% 58.13/9.61 tff(f78546,plain,(
% 58.13/9.61 spl5880_20),
% 58.13/9.61 inference(avatar_split_clause,[],[f49296,f78543])).
% 58.13/9.61 tff(f78543,plain,(
% 58.13/9.61 spl5880_20 <=> ring_parity(code_integer)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_20])])).
% 58.13/9.61 tff(f49296,plain,(
% 58.13/9.61 ring_parity(code_integer)),
% 58.13/9.61 inference(cnf_transformation,[],[f9789])).
% 58.13/9.61 tff(f9789,axiom,(
% 58.13/9.61 ring_parity(code_integer)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Oring__parity_579)).
% 58.13/9.61 tff(f78541,plain,(
% 58.13/9.61 spl5880_19),
% 58.13/9.61 inference(avatar_split_clause,[],[f49295,f78538])).
% 58.13/9.61 tff(f78538,plain,(
% 58.13/9.61 spl5880_19 <=> dense_order(rat)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_19])])).
% 58.13/9.61 tff(f49295,plain,(
% 58.13/9.61 dense_order(rat)),
% 58.13/9.61 inference(cnf_transformation,[],[f9334])).
% 58.13/9.61 tff(f9334,axiom,(
% 58.13/9.61 dense_order(rat)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__order)).
% 58.13/9.61 tff(f78536,plain,(
% 58.13/9.61 spl5880_18),
% 58.13/9.61 inference(avatar_split_clause,[],[f49294,f78533])).
% 58.13/9.61 tff(f78533,plain,(
% 58.13/9.61 spl5880_18 <=> semiri6843258321239162965malize(nat)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_18])])).
% 58.13/9.61 tff(f49294,plain,(
% 58.13/9.61 semiri6843258321239162965malize(nat)),
% 58.13/9.61 inference(cnf_transformation,[],[f9218])).
% 58.13/9.61 tff(f9218,axiom,(
% 58.13/9.61 semiri6843258321239162965malize(nat)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd__mult__normalize_45)).
% 58.13/9.61 tff(f78531,plain,(
% 58.13/9.61 spl5880_17),
% 58.13/9.61 inference(avatar_split_clause,[],[f49293,f78528])).
% 58.13/9.61 tff(f78528,plain,(
% 58.13/9.61 spl5880_17 <=> topolo7287701948861334536_space(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_17])])).
% 58.13/9.61 tff(f49293,plain,(
% 58.13/9.61 topolo7287701948861334536_space(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9456])).
% 58.13/9.61 tff(f9456,axiom,(
% 58.13/9.61 topolo7287701948861334536_space(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ouniform__space)).
% 58.13/9.61 tff(f78526,plain,(
% 58.13/9.61 spl5880_16),
% 58.13/9.61 inference(avatar_split_clause,[],[f49292,f78523])).
% 58.13/9.61 tff(f78523,plain,(
% 58.13/9.61 spl5880_16 <=> real_V6936659425649961206t_norm(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_16])])).
% 58.13/9.61 tff(f49292,plain,(
% 58.13/9.61 real_V6936659425649961206t_norm(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9475])).
% 58.13/9.61 tff(f9475,axiom,(
% 58.13/9.61 real_V6936659425649961206t_norm(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Odist__norm)).
% 58.13/9.61 tff(f78521,plain,(
% 58.13/9.61 spl5880_15),
% 58.13/9.61 inference(avatar_split_clause,[],[f49291,f78518])).
% 58.13/9.61 tff(f78518,plain,(
% 58.13/9.61 spl5880_15 <=> idom_modulo(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_15])])).
% 58.13/9.61 tff(f49291,plain,(
% 58.13/9.61 idom_modulo(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9154])).
% 58.13/9.61 tff(f9154,axiom,(
% 58.13/9.61 idom_modulo(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__modulo)).
% 58.13/9.61 tff(f78516,plain,(
% 58.13/9.61 spl5880_14),
% 58.13/9.61 inference(avatar_split_clause,[],[f49290,f78513])).
% 58.13/9.61 tff(f78513,plain,(
% 58.13/9.61 spl5880_14 <=> euclid5891614535332579305n_ring(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_14])])).
% 58.13/9.61 tff(f49290,plain,(
% 58.13/9.61 euclid5891614535332579305n_ring(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9098])).
% 58.13/9.61 tff(f9098,axiom,(
% 58.13/9.61 euclid5891614535332579305n_ring(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring)).
% 58.13/9.61 tff(f78511,plain,(
% 58.13/9.61 spl5880_13),
% 58.13/9.61 inference(avatar_split_clause,[],[f49289,f78508])).
% 58.13/9.61 tff(f78508,plain,(
% 58.13/9.61 spl5880_13 <=> semiri6843258321239162965malize(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_13])])).
% 58.13/9.61 tff(f49289,plain,(
% 58.13/9.61 semiri6843258321239162965malize(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9103])).
% 58.13/9.61 tff(f9103,axiom,(
% 58.13/9.61 semiri6843258321239162965malize(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd__mult__normalize)).
% 58.13/9.61 tff(f78506,plain,(
% 58.13/9.61 spl5880_12),
% 58.13/9.61 inference(avatar_split_clause,[],[f49288,f78503])).
% 58.13/9.61 tff(f78503,plain,(
% 58.13/9.61 spl5880_12 <=> topolo7287701948861334536_space(complex)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_12])])).
% 58.13/9.61 tff(f49288,plain,(
% 58.13/9.61 topolo7287701948861334536_space(complex)),
% 58.13/9.61 inference(cnf_transformation,[],[f9581])).
% 58.13/9.61 tff(f9581,axiom,(
% 58.13/9.61 topolo7287701948861334536_space(complex)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ouniform__space_372)).
% 58.13/9.61 tff(f78501,plain,(
% 58.13/9.61 spl5880_11),
% 58.13/9.61 inference(avatar_split_clause,[],[f49287,f78498])).
% 58.13/9.61 tff(f78498,plain,(
% 58.13/9.61 spl5880_11 <=> real_V6936659425649961206t_norm(complex)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_11])])).
% 58.13/9.61 tff(f49287,plain,(
% 58.13/9.61 real_V6936659425649961206t_norm(complex)),
% 58.13/9.61 inference(cnf_transformation,[],[f9593])).
% 58.13/9.61 tff(f9593,axiom,(
% 58.13/9.61 real_V6936659425649961206t_norm(complex)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Odist__norm_384)).
% 58.13/9.61 tff(f78496,plain,(
% 58.13/9.61 spl5880_10),
% 58.13/9.61 inference(avatar_split_clause,[],[f49286,f78493])).
% 58.13/9.61 tff(f78493,plain,(
% 58.13/9.61 spl5880_10 <=> idom_modulo(code_integer)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_10])])).
% 58.13/9.61 tff(f49286,plain,(
% 58.13/9.61 idom_modulo(code_integer)),
% 58.13/9.61 inference(cnf_transformation,[],[f9793])).
% 58.13/9.61 tff(f9793,axiom,(
% 58.13/9.61 idom_modulo(code_integer)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__modulo_583)).
% 58.13/9.61 tff(f78491,plain,(
% 58.13/9.61 spl5880_9),
% 58.13/9.61 inference(avatar_split_clause,[],[f49285,f78488])).
% 58.13/9.61 tff(f78488,plain,(
% 58.13/9.61 spl5880_9 <=> euclid5891614535332579305n_ring(code_integer)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_9])])).
% 58.13/9.61 tff(f49285,plain,(
% 58.13/9.61 euclid5891614535332579305n_ring(code_integer)),
% 58.13/9.61 inference(cnf_transformation,[],[f9743])).
% 58.13/9.61 tff(f9743,axiom,(
% 58.13/9.61 euclid5891614535332579305n_ring(code_integer)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring_533)).
% 58.13/9.61 tff(f78486,plain,(
% 58.13/9.61 spl5880_8),
% 58.13/9.61 inference(avatar_split_clause,[],[f49284,f78483])).
% 58.13/9.61 tff(f49284,plain,(
% 58.13/9.61 real_V5355595471888546746vector(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9433])).
% 58.13/9.61 tff(f9433,axiom,(
% 58.13/9.61 real_V5355595471888546746vector(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oordered__real__vector)).
% 58.13/9.61 tff(f78481,plain,(
% 58.13/9.61 spl5880_7),
% 58.13/9.61 inference(avatar_split_clause,[],[f49283,f78478])).
% 58.13/9.61 tff(f78478,plain,(
% 58.13/9.61 spl5880_7 <=> ordere1170586879665033532d_diff(nat)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_7])])).
% 58.13/9.61 tff(f49283,plain,(
% 58.13/9.61 ordere1170586879665033532d_diff(nat)),
% 58.13/9.61 inference(cnf_transformation,[],[f9197])).
% 58.13/9.61 tff(f9197,axiom,(
% 58.13/9.61 ordere1170586879665033532d_diff(nat)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__diff)).
% 58.13/9.61 tff(f78476,plain,(
% 58.13/9.61 spl5880_6),
% 58.13/9.61 inference(avatar_split_clause,[],[f49282,f78473])).
% 58.13/9.61 tff(f49282,plain,(
% 58.13/9.61 ln(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9519])).
% 58.13/9.61 tff(f9519,axiom,(
% 58.13/9.61 ln(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Transcendental_Oln)).
% 58.13/9.61 tff(f78471,plain,(
% 58.13/9.61 spl5880_5),
% 58.13/9.61 inference(avatar_split_clause,[],[f49281,f78468])).
% 58.13/9.61 tff(f78468,plain,(
% 58.13/9.61 spl5880_5 <=> topolo8458572112393995274pology(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_5])])).
% 58.13/9.61 tff(f49281,plain,(
% 58.13/9.61 topolo8458572112393995274pology(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9427])).
% 58.13/9.61 tff(f9427,axiom,(
% 58.13/9.61 topolo8458572112393995274pology(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinear__continuum__topology)).
% 58.13/9.61 tff(f78466,plain,(
% 58.13/9.61 spl5880_4),
% 58.13/9.61 inference(avatar_split_clause,[],[f49280,f78463])).
% 58.13/9.61 tff(f78463,plain,(
% 58.13/9.61 spl5880_4 <=> ring_gcd(int)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_4])])).
% 58.13/9.61 tff(f49280,plain,(
% 58.13/9.61 ring_gcd(int)),
% 58.13/9.61 inference(cnf_transformation,[],[f9177])).
% 58.13/9.61 tff(f9177,axiom,(
% 58.13/9.61 ring_gcd(int)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Oring__gcd)).
% 58.13/9.61 tff(f78461,plain,(
% 58.13/9.61 spl5880_3),
% 58.13/9.61 inference(avatar_split_clause,[],[f49279,f78458])).
% 58.13/9.61 tff(f78458,plain,(
% 58.13/9.61 spl5880_3 <=> comm_monoid_diff(nat)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_3])])).
% 58.13/9.61 tff(f49279,plain,(
% 58.13/9.61 comm_monoid_diff(nat)),
% 58.13/9.61 inference(cnf_transformation,[],[f9238])).
% 58.13/9.61 tff(f9238,axiom,(
% 58.13/9.61 comm_monoid_diff(nat)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__diff)).
% 58.13/9.61 tff(f78456,plain,(
% 58.13/9.61 spl5880_2),
% 58.13/9.61 inference(avatar_split_clause,[],[f49278,f78453])).
% 58.13/9.61 tff(f78453,plain,(
% 58.13/9.61 spl5880_2 <=> condit5016429287641298734tinuum(real)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_2])])).
% 58.13/9.61 tff(f49278,plain,(
% 58.13/9.61 condit5016429287641298734tinuum(real)),
% 58.13/9.61 inference(cnf_transformation,[],[f9425])).
% 58.13/9.61 tff(f9425,axiom,(
% 58.13/9.61 condit5016429287641298734tinuum(real)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Olinear__continuum)).
% 58.13/9.61 tff(f78451,plain,(
% 58.13/9.61 spl5880_1),
% 58.13/9.61 inference(avatar_split_clause,[],[f49277,f78448])).
% 58.13/9.61 tff(f78448,plain,(
% 58.13/9.61 spl5880_1 <=> semiring_1(a)),
% 58.13/9.61 introduced(avatar_definition,[new_symbols(naming,[spl5880_1])])).
% 58.13/9.61 tff(f49277,plain,(
% 58.13/9.61 semiring_1(a)),
% 58.13/9.61 inference(cnf_transformation,[],[f9823])).
% 58.13/9.61 tff(f9823,axiom,(
% 58.13/9.61 semiring_1(a)),
% 58.13/9.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0)).
% 58.13/9.61 % SZS output end Proof for theBenchmark
% 58.13/9.61 % (27639)------------------------------
% 58.13/9.61 % (27639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 58.13/9.61 % (27639)Termination reason: Refutation
% 58.13/9.61
% 58.13/9.61 % (27639)Memory used [KB]: 73637
% 58.13/9.61 % (27639)Time elapsed: 8.124 s
% 58.13/9.61 % (27639)Instructions burned: 19214 (million)
% 58.13/9.61 % (27633)Success in time 9.217 s
%------------------------------------------------------------------------------